 - 5*a + 145 = 0. What is the remainder when i is divided by (4/1)/((-4)/(-10))?
9
Let x = -10 - -11. Let d be 11 + (3 - x) + 3. Suppose -2*j + 20 = -3*f, -4*j = -3*f - 24 - d. What is the remainder when j is divided by 3?
1
Suppose 3*p = -6 - 0, f - 112 = -p. What is the remainder when f is divided by 29?
27
Suppose h - 18 = -11. Suppose -3*x + h + 26 = 0. What is the remainder when 31 is divided by x?
9
Let x(s) = 3*s + 3. Let h = -8 + 7. Calculate the remainder when x(8) is divided by (0 + -1)/h - -14.
12
Let w(k) = -k**3 + 5*k**2 + 2*k - 4. Let q be w(5). Let r(j) = -4 - 2*j - 2 + 7*j + 0*j. Calculate the remainder when r(q) is divided by 9.
6
Let a = 6 - -65. Let p = a - 65. Calculate the remainder when p is divided by 2.
0
Let w(v) = 44*v + 13*v**2 + 10*v**2 - v**3 - 7*v**2 + 5. Calculate the remainder when w(18) is divided by 30.
29
Let t be 3/(-1) - (-4 - -15). Let y = t + 18. Suppose y*s - 42 = -5*r + 17, -4 = s - 5*r. What is the remainder when 20 is divided by s?
9
Let s(x) = x**3 + x - 4. Let z be s(3). Suppose -2*a = -12 - z. What is the remainder when 75 is divided by a?
18
Suppose -8*c = -18*c + 230. Suppose 0 = -7*b - 39 + 95. Calculate the remainder when c is divided by b.
7
Let t = 6 + -6. Suppose -q + 160 = 4*p, 5*p + 5*q - 38 = 147. Calculate the remainder when p is divided by 3/(1 + t) - (-9 - -1).
8
Let k = -17 - -9. Let s be k/(-3)*(-27)/(-6). Let z(l) = l**3 - 11*l**2 - 9*l - 12. Calculate the remainder when 45 is divided by z(s).
21
Let m = 12 + -12. Suppose -b - 4 = -m. Calculate the remainder when b/18 + (-1012)/(-18) is divided by 19.
18
Suppose 0 = -2*g + 4, 5*g + 126 - 6 = 5*r. What is the remainder when 31 is divided by r?
5
Suppose -2*m = -5*a + 88, m = -1 + 2. Suppose -23*s + a*s + 95 = 0. What is the remainder when s is divided by 11?
8
Suppose 7*x - 17 = 235. What is the remainder when 64 is divided by x?
28
Let g = 110 - 194. Let t = g + 145. Calculate the remainder when t is divided by 17/(-2)*-2 + -1.
13
Suppose h = 21 + 15. Let d = 1674 - 1663. What is the remainder when h is divided by d?
3
Let j = -170 + 246. Let f = 153 - j. What is the remainder when f is divided by 24?
5
Suppose -1 + 2 = o. Let i be (-3)/(-21) + o/(-7). Suppose 2*l + 5*j = -i*l + 42, -3*j + 6 = 0. Calculate the remainder when 78 is divided by l.
14
Suppose -3*m - 189 = -4*o, -2*o = 4*m - 5*m - 97. Let g(k) = k**2 + k - 5. Let y be g(4). What is the remainder when o is divided by y*3*3/5?
24
Suppose -75 = 7*g - 10*g. Calculate the remainder when 124 is divided by g.
24
Let n = 153 + -146. Let w(z) = 6*z - 28 - 2*z + 11. What is the remainder when w(n) is divided by 6?
5
Let o be (-1)/(1/1) - -34. Suppose -5*l - o + 248 = 0. Let t = 6664 + -6642. What is the remainder when l is divided by t?
21
Let x(t) = -7*t - 4. Let b be 8/(-20) + (-52)/20. Let s be x(b). Suppose 0 = 18*h - s*h - 5. What is the remainder when 17 is divided by h?
2
Let j = -132 + 185. Suppose -4*y + 5*g = -168, -y + j = -3*g - g. Calculate the remainder when y is divided by 10.
7
Suppose w + w = -116. Let g = w + 77. Calculate the remainder when 37 is divided by g.
18
Let b = -49 - -143. Suppose 0 = g - 17 - b. Calculate the remainder when g is divided by 14.
13
Let y(m) = m**3 + 13*m**2 - 50*m - 24. Calculate the remainder when y(-15) is divided by 31.
28
Let r be (0 - (-3)/6)/((-2)/(-484)). Let o = -70 + r. What is the remainder when o is divided by 4?
3
Let u(q) = 15*q. Let x be u(8). Suppose -6*t = -4*t - x. Let m(h) = -2*h**2 - 39*h - 166. What is the remainder when t is divided by m(-11)?
18
Calculate the remainder when (875/(-750))/(2/(-276)) is divided by 54.
53
Suppose w + 7 = 2*w. Let p = 92 - 60. Calculate the remainder when p is divided by w.
4
Let h = 53 - 46. Suppose 39 = y - 3*w, 5*y - h*w - 95 = -12*w. Calculate the remainder when 44 is divided by y.
20
Let h = -132 - -185. Let s = 14 - -2. Calculate the remainder when h is divided by s.
5
Suppose -3*i + 4*i - 27 = d, 3*i = -4*d + 60. What is the remainder when 95 is divided by i?
23
What is the remainder when 39 is divided by (7 - 9) + 7 - -5?
9
Calculate the remainder when (((-117)/12)/3)/((-21)/1176) is divided by 64.
54
Suppose 5*t + l = 21, -5 = -3*t + 5*l + 30. Suppose -t*p = 5 - 15. Let d(n) = 8*n**3 + 3*n**2 - 2*n - 1. What is the remainder when d(p) is divided by 24?
23
Suppose -u + 2 = -0*u. Let y(h) = 8*h + 16. What is the remainder when y(1) is divided by u?
0
Let k be (-2)/(-10) - (4389/(-5) + -2). What is the remainder when 4/14 - k/(-56) is divided by 5?
1
Let c be 3/1 - 2 - -18. Let y = c + -10. Suppose 3*m = -4*n + 121, 14*n - 151 = 10*n + 3*m. Calculate the remainder when n is divided by y.
7
Suppose 0 = -30*c + 23 + 1987. Calculate the remainder when c is divided by 10.
7
Let o(a) = -40*a + 105. Calculate the remainder when 95 is divided by o(2).
20
Let x(a) = -5*a + 11. Let d(k) = 2*k - 5. Let y(g) = 9*d(g) + 4*x(g). What is the remainder when 164 is divided by y(-17)?
32
Let y(b) = b**3 - 4*b**2 + 5*b - 4. Let x be y(3). Let n(w) = w**2 + w + 1. Calculate the remainder when 19 is divided by n(x).
5
What is the remainder when 21/((-1617)/(-22)) - (-691)/7 is divided by (4/6)/((-6)/(-189))?
15
Suppose -5*y - r + 3*r = -86, 0 = -5*y + r + 88. What is the remainder when 25 is divided by y?
7
Suppose -3*m - 6117 = -7332. What is the remainder when m is divided by 79?
10
Let l be 1*31 + (20 - 19). Let h = l + -30. Calculate the remainder when 8 is divided by h.
0
Suppose -s + r = 2*s - 366, 5*s + r - 602 = 0. Suppose -s + 379 = 6*d. What is the remainder when d is divided by 11?
10
Suppose -6*l + 104 = 3*s - 2*l, 2*l + 74 = 3*s. Suppose -2*h + 32 = 5*o, -h - h + s = 3*o. Let z = 39 + h. What is the remainder when z is divided by 13?
11
Calculate the remainder when 152 + (-16 + 15)*(1 + 0) is divided by 17.
15
Suppose 8*c = 6*c + 5*q + 56, -2*c + 84 = 2*q. Calculate the remainder when 66 is divided by c.
28
Let y = -90 + 66. Calculate the remainder when (206 - -1)*(136/y - -6) is divided by 18.
15
Suppose 0 = -15*l + 24*l - 2439. What is the remainder when l is divided by 20?
11
Let l(u) = 25*u - 13. Suppose -9 + 15 = 3*q. What is the remainder when 146 is divided by l(q)?
35
Let f(s) = -6*s + 1 + s - s + 3*s. Let q(j) = 2*j - 2. Let y(u) = -3*f(u) - 4*q(u). What is the remainder when 49 is divided by y(5)?
9
Let h = -2378 + 2389. Calculate the remainder when 17 is divided by h.
6
Let y = -64 + 119. Suppose 0 = 2*z - z + 3*g - 7, -3*z + 4*g + 8 = 0. Suppose -116 = -z*f - 0*f. What is the remainder when y is divided by f?
26
Let y = 18 - 13. What is the remainder when 18 is divided by y?
3
Suppose 28*d - 2392 = 26*d. Calculate the remainder when d is divided by 40.
36
Let f = 38 + -37. Let n = f - -40. What is the remainder when n is divided by 22?
19
Let o(s) be the first derivative of 20*s**2 - 3*s - 5. Let l be o(3). Suppose v - l = -3*p, -15 = -p + 2*v + 17. What is the remainder when p is divided by 10?
8
Suppose -2*y - 5*d - 10 = 3*y, -3*y + 6 = -3*d. Suppose y = 4*h + h - 45. Suppose 1053 = 34*v + 169. Calculate the remainder when v is divided by h.
8
Let y(l) = 10*l**2 + 2*l + 3. Let g be y(-1). Suppose -5*m + g = 4*j, -2*m + 6 = 4*j + 4. What is the remainder when 10 is divided by m?
1
Let g = -51 - -92. Suppose -2*r - 43 + 543 = 0. Suppose 2*u = r - 10. What is the remainder when u is divided by g?
38
Let a = -17 + 51. Suppose 3*s - a = s. What is the remainder when s is divided by 6/(-75) - (-1524)/300?
2
Let c = 2022 - 1998. Calculate the remainder when 421 is divided by c.
13
Let z(x) = 4*x**2 + 3*x - 4. Let j be z(-2). Suppose 0 = -j*w + 39 + 3. What is the remainder when w is divided by 3?
1
Let s = 742 - 730. What is the remainder when 153 is divided by s?
9
Let y = -293 - -329. What is the remainder when 575 is divided by y?
35
Let m(r) be the first derivative of 2*r**2 - 7*r - 5. Let z be m(5). Let g = 0 + z. Calculate the remainder when 49 is divided by g.
10
Suppose -11*h + 6*h - 5 = 0, 3*h - 113 = -2*y. Calculate the remainder when 286 is divided by y.
54
Let i = -1228 + 1347. Calculate the remainder when 576 is divided by i.
100
Let m(w) = w**2 - 12*w - 20. Suppose -2*f + j + 53 = 0, 5*f + 2*j + 83 - 238 = 0. What is the remainder when f is divided by m(14)?
5
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