when 553/6 - 10/60 is divided by 31.
30
Suppose 5*f + 3*x = 2*f + 477, -473 = -3*f + x. Suppose 4*t = f + 202. Calculate the remainder when 6 is divided by t/21 - (-4)/(-14).
2
Suppose 4*n - 2*m = 450 - 76, -m + 189 = 2*n. Calculate the remainder when n is divided by 30.
4
Let d(a) = 3*a**2 + 11*a + 20. What is the remainder when d(-5) is divided by 6?
4
Let h(j) = -j**3 - 16*j**2 - 10*j - 39. Let a be h(-16). What is the remainder when a + (-1 - -4) - -2 is divided by 22?
16
Let y(j) = -4*j**3 + 2*j**2 - j + 1. Suppose -16 = -15*q + 19*q, 0 = 4*k + 2*q - 52. Calculate the remainder when y(-2) is divided by k.
13
Let o(d) = -d - 5. Let g be o(-8). Let v = 12 - g. Calculate the remainder when v is divided by 3.
0
Let y(f) = -f - 3. Let v(n) = n**2 + 3*n - 11. Let c be v(-6). Let p = 18 - c. Calculate the remainder when p is divided by y(-5).
1
Let m(k) = 7*k + 23. Calculate the remainder when 42 is divided by m(-2).
6
Suppose i = 5*s + 79, 3*i = 4*i + s - 55. Calculate the remainder when i is divided by 20.
19
Suppose -217 = -3*c - 28. Let u = 72 - c. What is the remainder when 24 is divided by u?
6
Suppose 2*d - 5*l + 0*l - 50 = 0, -5*l = 4*d - 100. Let x(w) = 16*w + 35. Calculate the remainder when d is divided by x(-2).
1
Let k be -2 + 7 + (-4 - -1). Suppose 10 = k*a - 26. Let w = a - 8. What is the remainder when 19 is divided by w?
9
Suppose -4*r - 52 = -2*d, 4*r - 5 = -r. What is the remainder when d is divided by 6?
4
Suppose -2*z + 525 + 249 = 0. What is the remainder when z is divided by 26?
23
Suppose 4*n - 4*y = -24, n - 3*y + 17 = -n. Calculate the remainder when n*3/3*-2 is divided by (-4)/(-3) + 2/3.
0
Let m(h) = 12*h - 3. What is the remainder when 206 is divided by m(2)?
17
Let z(s) = 19*s**3 - s**2 + 153*s - 153. What is the remainder when 6/(-4)*136/(-6) is divided by z(1)?
16
Suppose -3*z = 2*b - 68, -3*b = 2*b + 2*z - 170. What is the remainder when 167 is divided by b?
31
Let t be (-1 - -266) + (-4 - -5). Suppose t = -2*x - 18. What is the remainder when 2*2/((-8)/x) is divided by 18?
17
Let a(j) = j - 9. Let h(b) = -b + 9. Let x(n) = -5*a(n) - 4*h(n). Let g be x(6). Suppose -16 = -g*c + 11. Calculate the remainder when 33 is divided by c.
6
Suppose 3*y = y - 22. Let k(t) = -3*t + 6. Let b = 65 + -45. Calculate the remainder when k(y) is divided by b.
19
Let t = -225 - -236. What is the remainder when 63 is divided by t?
8
Let h = -4 + -5. Let t = -3 - h. Suppose 2*c + 10 = 7*c + 5*u, 0 = -4*c - 5*u + t. What is the remainder when 7 is divided by c?
3
Let x(p) = -3*p**3 - 7*p**2 - 10*p + 9. What is the remainder when 42 is divided by x(-2)?
17
Let n be 0 + (-1 - 0/(-4)). Let l be (45/18)/(n/(-46)). Suppose -h - 3*t = -5*t - 16, -5*h + l = -3*t. Calculate the remainder when h is divided by 7.
5
Let z = -6 + 10. Suppose -z*s + 200 = s. Suppose -66 - 18 = -4*l. Calculate the remainder when s is divided by l.
19
Let t be (-66776)/(-30) + (-40)/(-300). Calculate the remainder when 59 is divided by t/63 - (1 + 10/(-6)).
23
Suppose -13*f = -440 - 821. Calculate the remainder when f is divided by 54.
43
Suppose 4*f - 98 = -34. What is the remainder when 91 is divided by f?
11
Let h(q) = 2*q - 1 + 4 + q**2 - 4 - 1. Suppose 0 = -5*f + 3*f + 8. What is the remainder when h(-4) is divided by f?
2
Suppose 2*x - 2*q = 28, 4*x - 24 = -2*q + 20. Let n = x - 7. Suppose -3*a = -g + 26, n*g - 3*a - 122 = 32. What is the remainder when g is divided by 11?
10
Calculate the remainder when 212 is divided by 4/(-36)*-12*48.
20
Let q(o) = -9*o - 9. Let i be q(-1). Suppose i = 9*u - 10*u + 103. What is the remainder when u is divided by 26?
25
Suppose 0 = -c + 2*c - 5*s - 83, -3*c + 195 = 3*s. Let g(m) = 2*m**3 - 20*m**2 - 22*m + 12. What is the remainder when c is divided by g(11)?
8
Let k(o) = -2*o**3 + 2*o + 3. Let b be k(-1). Suppose 3*f + 33 = b*v, 0 = 3*v - 2*v + 5*f + 13. Calculate the remainder when 16 is divided by v.
2
Suppose f - 21*f + 440 = 0. What is the remainder when 263 is divided by f?
21
Let p = -2 - -4. Suppose 67 = -x + p*x. Let n = -97 + 111. Calculate the remainder when x is divided by n.
11
Suppose -56*u - 1952 = -72*u. Calculate the remainder when u is divided by 32.
26
Suppose 5*h - 3*n - 64 = 0, -5*n + 40 = 4*h + h. Suppose -781 = -109*b - 18. What is the remainder when h is divided by b?
4
Let u(t) = 4*t**2 + t. Let g(k) = 10*k**3 + k**2 - k - 1. Calculate the remainder when u(-3) is divided by g(1).
6
Suppose -142 = 5*x - 602. Let r = x - 38. Calculate the remainder when r is divided by 14.
12
Let z(y) = -y**3 + 5*y**2 + 16*y + 16. Let l = 26 + -12. What is the remainder when z(5) is divided by l?
12
Let h be (-273)/5 - 3/(-5). Let k = h + 81. Suppose 4*w - 63 = -r, -4*w + 83 = -2*r + 29. What is the remainder when k is divided by w?
12
Let r be (3/(-2))/((-3)/40). Suppose u - r = -4. Let d(y) = 2*y**2 - 7*y - 9. Calculate the remainder when d(8) is divided by u.
15
Suppose 0 = -46*q + 29*q + 18020. Calculate the remainder when q is divided by 14.
10
Let z be (28/8 - 4)*-6 - 5. Calculate the remainder when (-90 - -10)/(4/z) is divided by 14.
12
Let c = -80 + 319. Calculate the remainder when c is divided by 15.
14
Let h(t) = t**3 + 5*t**2 + 2*t + 7. Let v be h(-5). Let l = 27 + v. Calculate the remainder when l is divided by 9.
6
Let k = 22 - 18. Suppose -2*b + 338 = k*l, 5*b + 3*l = -l + 875. What is the remainder when b is divided by 30?
29
Let g(m) = -m**3 + 14*m**2 + 7*m + 148. What is the remainder when 72 is divided by g(15)?
16
Let p = 266 + -239. Let j = 181 + -59. What is the remainder when p is divided by j/18 - (-4)/18?
6
Suppose -3*j = i + 4*i - 9, 0 = 4*j + i - 12. Suppose q + 0*n = 3*n + 3, 0 = -3*n + j. Calculate the remainder when 29 is divided by q.
5
Let m = -1046 - -1107. What is the remainder when m is divided by 16?
13
Suppose -3*s = -s - 54. Let o = -756 + 766. Calculate the remainder when s is divided by o.
7
Let q = -149 - -185. Calculate the remainder when q is divided by 15.
6
Let m(c) = 29*c - 19. Let n be m(5). Suppose -15 = -3*o + n. Calculate the remainder when o is divided by (-64)/(-6) + (-4)/6.
7
Suppose 227 = 3*u - x, 3*u = u + 5*x + 147. What is the remainder when u is divided by 16?
12
Let o = -312 + 352. Calculate the remainder when 106 is divided by o.
26
Let l(i) = -22*i - 108. Calculate the remainder when 268 is divided by l(-8).
64
Let w be 93/((3/4)/(1/(-2))). Let s = -54 - w. What is the remainder when 1/(-3) - 192/(-9) is divided by s?
5
Let x = -23 - -50. Suppose 5*j = -2*o + x, -5*o + 0*j + 155 = -5*j. Calculate the remainder when 47 is divided by o.
21
Let z = 253 - 217. What is the remainder when 229 is divided by z?
13
Let p = 62 - -433. Suppose -p = -5*u - 2*g, u + 495 = 6*u + 4*g. Suppose 45*x = 53*x - 200. Calculate the remainder when u is divided by x.
24
Let a(s) = 5*s**3 + 5*s**2 - 6*s + 2. Let t be a(2). Let n = -39 + t. What is the remainder when 43 is divided by n?
10
Suppose -4*o = -1 - 3, -81 = -2*y - o. Suppose -3*g + f + 65 = -0*f, -4*f = 8. Calculate the remainder when y is divided by g.
19
Let u = -11 + 11. Suppose 14*f - 9*f - 45 = u. What is the remainder when f is divided by 5?
4
Let i(s) = -s**3 + 9*s**2 + 13*s - 4. Let z = 711 - 609. What is the remainder when z is divided by i(10)?
24
Let o be -3 - (-3 - -1 - 4). Suppose j + 6*k - 13 = o*k, -j + 4*k = 15. What is the remainder when 27 is divided by 0 + 30/(j + 2)?
7
Suppose -2*d = 7 - 15. Suppose -p = d*y - 10, 4*p - 66 = -y - 2*y. Suppose 0*q + 71 = q. Calculate the remainder when q is divided by p.
17
Let h(n) = -n**3 - 15*n**2 + 41*n - 15. Calculate the remainder when h(-18) is divided by 44.
43
Let z = 301 + -273. Calculate the remainder when 80 is divided by z.
24
Suppose -6*j - 112 = 308. Suppose -2*x - 4*a = 3*x + 144, -3*x - a - 92 = 0. Let y = x - j. Calculate the remainder when y is divided by 10.
8
Let r be (-25)/(-2)*4/2. Let x = 79 - r. Let h(v) = 3*v**2 - 4*v - 65. Calculate the remainder when x is divided by h(6).
16
Suppose 9 = r - n, -1 = 2*r + n - 7. Suppose -3*p = -r*g + 77, -2*g = -p + 3*p - 34. Calculate the remainder when 60 is divided by g.
12
Let m(g) = g**3 - 1. Let v(n) = -n**3 - n**2 + 17. Let p(q) = 2*m(q) + v(q). Calculate the remainder when 58 is divided by p(0).
13
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