. Let b = h + -26. Calculate the remainder when 74 is divided by b.
17
Suppose 0 = -f + 4 - 1. Suppose 17 = 4*z + 2*g - 39, f*z - g = 42. Calculate the remainder when 57 is divided by 8/z - (-101)/7.
12
Let c = -7 + 17. Let s be (-2)/(-8)*-2*-6. Let p(r) = 2*r**2 - 2*r - 6. What is the remainder when c is divided by p(s)?
4
Let t = 1 + -11. Let n be (-5)/t*(2 + -2). Suppose -5*m = -0*w - 2*w - 99, n = -2*m - w + 45. Calculate the remainder when 82 is divided by m.
19
Let b(c) = c**2 - 7*c - 4. Suppose 0 = 9*l - 4*l - 150. Let p = l - 23. What is the remainder when p is divided by b(8)?
3
Let k = -118 - -147. Calculate the remainder when 344 is divided by k.
25
Suppose 0 = -15*f + 2948 + 13837. What is the remainder when f is divided by 59?
57
Let m = 67 - 34. What is the remainder when 163 is divided by m?
31
Suppose 14*w + 12516 = 26*w. What is the remainder when w is divided by 150?
143
Let v(f) = -f**3 - 19*f**2 + 3*f - 171. What is the remainder when v(-20) is divided by 34?
33
Suppose 284 = 4*s - 4*v, 3*s - 8*v - 201 = -11*v. What is the remainder when s is divided by 18?
15
Suppose -220 = -2*s + 4*w, 2*s + 62*w - 60*w = 238. Calculate the remainder when s is divided by 37.
5
Suppose b = 345 - 83. Calculate the remainder when b is divided by 44.
42
What is the remainder when 85 is divided by 1*-6*869/(-66)?
6
Let f = -49 - -50. Suppose -4*v + 2*b - f = -603, 3*b = 5*v - 751. What is the remainder when v is divided by 39?
35
Let m(r) be the third derivative of r**5/30 - r**4/12 - r**3/3 - 5*r**2. Calculate the remainder when 80 is divided by m(4).
14
Suppose 5*t = -4*z + 49, 5*z + 12 = -8. What is the remainder when t is divided by 10?
3
Let x(s) = -s**3 - 9*s**2 - 9*s - 8. Let q be x(-8). Suppose -5*c + 5*b + 95 = q, c - 4*b - 3 = 13. What is the remainder when 79 is divided by c?
19
Suppose 2*i + 30 = 8*i. Suppose w = -i + 21. What is the remainder when 62 is divided by w?
14
Suppose 6*k - 1890 = -8*k. What is the remainder when k is divided by 23?
20
Let g = 651 - 597. What is the remainder when g is divided by 14?
12
Suppose 18*v - 1704 = -12. Calculate the remainder when 1031 is divided by v.
91
Let n = 18 + -1. Calculate the remainder when (n/2)/((-7)/(-42)) is divided by 19.
13
Suppose 48 + 304 = 8*y. Calculate the remainder when 171 is divided by y.
39
Let z = -234 - -281. Calculate the remainder when z is divided by 3.
2
Calculate the remainder when (9 + (-480)/45)*-3*41 is divided by 71.
63
Let o = 162 + -75. What is the remainder when o is divided by 9?
6
Let i = -765 - -833. Let s = -30 + 44. Calculate the remainder when i is divided by s.
12
Let h be 15/(0 + -4 - (-2 + -1)). Let i(u) = -4*u - 44. Calculate the remainder when 62 is divided by i(h).
14
Suppose 5*k - 944 = -4*y, -k = -3*y + 583 + 144. Suppose 0 = 6*t - y + 13. What is the remainder when t is divided by 10?
8
Suppose -74 = -3*j + 4*z - 17, -2*z = -6. Suppose 5*g + 40 = 5*v, -2*g = v + 2*g - j. What is the remainder when 76 is divided by v?
10
Suppose 0*m + 4*c = 3*m - 75, -2*c = -6. What is the remainder when m is divided by 7?
1
Suppose 0 = -4*c - 2*u + 180, c - 15*u + 10*u - 45 = 0. What is the remainder when 86 is divided by c?
41
Let c = 25 + -15. Let s = -7 + c. Let g(n) = n**3 + 5*n**2 + n - 2. Calculate the remainder when g(-4) is divided by s.
1
Let y(p) = 6*p - 15. Let z be y(6). Let u = z - 2. Suppose -1 = -3*x + 20. Calculate the remainder when u is divided by x.
5
Let z = 18 + -28. Calculate the remainder when ((-4)/z)/(21/2940) is divided by 20.
16
Let n(s) = -s**2 - 6*s - 4. Suppose -11*q + 50 = -21*q. What is the remainder when (-3 - -1)/2 - -3 is divided by n(q)?
0
Let b = 14 + -9. Let k be (4/5)/(54/(-15) + 4). Suppose k*r = -2*o - 18 + 50, 3*r = -b*o + 88. What is the remainder when o is divided by 7?
6
Let q = -3004 + 3018. What is the remainder when 32 is divided by q?
4
Let a be (-2)/1 + -4 + 184. Let d = -27 + a. Let s = d + -90. What is the remainder when s is divided by 16?
13
Let x(c) = -c**3 + c**2 - c. Let z(h) = 7*h**3 - 9*h**2 - 4. Let f(r) = 6*x(r) + z(r). Let m = 9 - 4. What is the remainder when 31 is divided by f(m)?
15
Let f(k) = -k**2 - 15*k - 16. Calculate the remainder when f(-6) is divided by 19.
0
Suppose q - 1 - 25 = 0. Let t(m) = m**3 - 4*m**2 - 4*m - 2. Let f be t(5). Let g = q + f. What is the remainder when g is divided by 10?
9
Let u = -6 - -11. Suppose 0 = 5*r - 169 - 156. Suppose -r*i = -70*i + 90. What is the remainder when i is divided by u?
3
Suppose 2*v + 20 = -4*l, -7 = v + 3*l + 8. Suppose -h - c + 898 = 0, 5*h + 4*c + 1392 - 5880 = v. What is the remainder when 43 is divided by (-2)/5 - h/(-40)?
21
Let a = -40 + 80. Calculate the remainder when (0 - 3)*(164/(-3) - -2) is divided by a.
38
Let v(b) be the second derivative of b**4/3 + 2*b**3/3 + 39*b**2/2 + 26*b. Calculate the remainder when v(-4) is divided by 22.
21
Let f(t) = t**2 - 9*t + 4. Let k be f(9). Suppose 4*g + 273 = 5*q, -3*q - k*g - 45 = -196. Calculate the remainder when q is divided by (-5)/(25/(-85)) + -3.
11
What is the remainder when 1412/10 - (4 + 70/(-25)) is divided by 52?
36
Suppose 8 + 7 = 3*s. Suppose t = s*t - 40. Calculate the remainder when t is divided by 4.
2
Let i be ((-28)/6)/((-2)/3). Let y = i - -9. Suppose n + 3 = 0, -r + 2*r - n = y. What is the remainder when 23 is divided by r?
10
Let h(s) = 3*s**2 - 39*s + 285. What is the remainder when 623 is divided by h(7)?
146
Let i(q) = -3*q + 14. Let a be 0/(3 - 1) - 3. Let h = -1 - a. What is the remainder when i(3) is divided by h?
1
Let a(m) = -m - 5. Let q be a(-2). Let x = 19 - q. Calculate the remainder when 43 is divided by x.
21
Suppose 0 = 2*b + 4*k - 4, -5*k + 6 = 21. Suppose 0 = -2*m + 60. What is the remainder when b is divided by m/12*(-2 - -4)?
3
Suppose -4*g + h = -80, 3*g + 3*h - 12 = 33. What is the remainder when 106 is divided by g?
11
Let x(g) = -3*g**3 - 17*g**2 - 3*g - 11. Calculate the remainder when x(-7) is divided by 15.
11
Let r(n) = -2*n**3 + n**2 - 1. Let f be r(-1). Suppose -3*j + 267 = 4*s, 2*s + j = -f*j + 141. Calculate the remainder when s is divided by 16.
15
Let z = -40 + 40. Suppose z = s - 0*s - 40. Calculate the remainder when 78 is divided by s.
38
Let a = 179 + -159. What is the remainder when 259 is divided by a?
19
Suppose 4 = 3*t - 4*f - 22, 2 = -f. Suppose 8*l - t = 18. Suppose 4*k - l*o = 41, -5*k + 60 = 2*o - 4*o. What is the remainder when 24 is divided by k?
10
Let b(s) = -34*s + 6. Let f(x) = 68*x - 13. Let h(w) = -9*b(w) - 4*f(w). Let a be h(6). Let i = a + -140. Calculate the remainder when i is divided by 16.
14
Let p(i) = 14*i**2 - 19*i - 37. What is the remainder when p(7) is divided by 40?
36
Let u = 68 + -68. Suppose r = -u*v + 3*v - 272, 12 = 3*r. What is the remainder when v is divided by 31?
30
Suppose 9*l - 91 = 7*l - m, -l = 4*m - 35. What is the remainder when 1785 is divided by l?
46
Suppose -11*h = 5*h - 704. What is the remainder when 1008 is divided by h?
40
Let z = 2455 + -2424. Suppose -16 = -4*j + 3*j + 4*s, -s = 3. Calculate the remainder when z is divided by j.
3
Suppose -55*c = -60*c - 155. Let w = c - -58. What is the remainder when w is divided by 6?
3
Suppose -4*s + 6 = n, -5*s - n + 4 = -3*s. Let f be -5 + (3 - s - 0). What is the remainder when 29/((-2 - f)*1) is divided by 15?
14
Let s = 15 - 11. Suppose -8*n + 172 = -s*n. Suppose -3*u + 17 = -n. What is the remainder when 55 is divided by u?
15
Let a = -91 + 178. Let w = -142 + 187. What is the remainder when a is divided by w?
42
Suppose 0 = -8*p + 7*p + 34. Suppose -b = -2*f - p, -4*b - 54 = 2*f - 170. Suppose u = 0, 4*q - u - 16 - 16 = 0. What is the remainder when b is divided by q?
6
Let o = 4 - 1. Suppose -22 = o*b - 5*b. Calculate the remainder when b is divided by 8.
3
Let x(i) = i**2 + 28*i + 20. Let l be x(-28). Suppose 0 = 5*n - 5*j - l, -5*n - 3 = -3*j - 33. Calculate the remainder when 15 is divided by n.
6
Let v(u) = u**3 + u**2 + u + 16. Suppose 7*n - 8*n = 0. What is the remainder when 60 is divided by v(n)?
12
Let c = 18 + -17. What is the remainder when c*(-159)/(2 - 5) is divided by 2 + (8 - 2)*2?
11
Suppose -2*j - 2*j + 712 = 0. Suppose -d + j = 5*s, 0 = -2*s + 2*d + 2*d + 58. Calculate the remainder when 174 is divided by s.
34
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