hen p(o) is divided by x.
5
Suppose -2002 = -13*r + 6*r. What is the remainder when 4/(-26) + 4334/r is divided by 6?
3
Suppose 4*w + 2*j - 30 = 0, 2*j - 5*j = w + 5. Suppose 6 = 4*y - w. Calculate the remainder when 14 is divided by y.
2
Let c = 217 - 214. Calculate the remainder when 24 is divided by c.
0
Suppose -86 = -2*a + 3*l, -5*a - l = -6*l - 205. What is the remainder when 4*a/(-3)*3/(-4) is divided by 10?
7
Suppose 0 = -3*n - d - 38, n - 3*d = 4*n + 48. Let f = 15 + n. What is the remainder when 16 is divided by f?
0
Suppose -51 = -z - 40. What is the remainder when 150 is divided by z?
7
What is the remainder when (-258)/12*-3*20/6 is divided by 8?
7
Let a(m) = 17*m**2 - 7*m - 15. What is the remainder when a(-2) is divided by 34?
33
Let r(z) = 4*z - 13. Suppose -3*g = -0*b + 2*b - 5, 0 = -3*b + 4*g + 33. Calculate the remainder when 147 is divided by r(b).
12
Let s = 207 + -199. Suppose -2*k + 16 = -26. What is the remainder when k is divided by s?
5
Suppose y - 3 = -g + 5*y, -3*g = 5*y - 94. Let c(x) = x**2 - 17*x + 7. What is the remainder when c(19) is divided by g?
22
Let x(a) = 61*a + 81. Calculate the remainder when 31 is divided by x(-1).
11
What is the remainder when 207 is divided by (2596/(-88))/((-39)/18 - -2)?
30
Let w = 3122 - 3103. Calculate the remainder when w is divided by 5.
4
Let j = -516 + 527. What is the remainder when j is divided by 1?
0
Suppose 2*q + 4*z = 24, -4*z = -0*q - 2*q + 48. Let o = q + -30. Let h = 19 + o. Calculate the remainder when 20 is divided by h.
6
Suppose s + 0*s = 5*x - 18, 2*x = 4*s. Suppose -i = 5*b - 37 - 1, s*i + 3*b = 83. Let j(f) = f**2 + 8*f - 9. What is the remainder when i is divided by j(-10)?
10
Suppose g - 3*i + 16 = 0, 0 = 3*i - 0*i. Let v(n) = -n - 9. Calculate the remainder when 53/4 - (-1)/(-4) is divided by v(g).
6
Let t = 1596 - 1585. Suppose -2*i = 3*i - 210. Calculate the remainder when i is divided by t.
9
Let v(q) be the third derivative of q**6/120 + q**5/6 + 11*q**4/24 + q**3/6 + 32*q**2. What is the remainder when v(-7) is divided by 18?
17
Suppose -a + 15 + 0 = 0. Suppose 4*c - 2*o - o = a, c - 3*o = -3. Suppose 0 = -4*f - 13 + 81. What is the remainder when f is divided by c?
5
Let w = -1954 + 1994. Let a(k) = -k**2 + 7*k + 4. Calculate the remainder when w is divided by a(5).
12
Let t = -14 - -38. Calculate the remainder when 77 is divided by t.
5
Let x(m) = m + 113. What is the remainder when x(-22) is divided by 49?
42
Let x = -345 - -434. Calculate the remainder when 176 is divided by x.
87
Let k = -34 + 39. Suppose 0 = -4*f + k*f - 39. Calculate the remainder when 116 is divided by f.
38
Let v(z) = 2*z**2 - 11*z + 36. What is the remainder when v(6) is divided by 15?
12
Suppose -2*g = 5*h - 4*g - 127, -4*h + 116 = 2*g. Calculate the remainder when (-1 - 3689/(-35)) + 2/(-5) is divided by h.
23
Let g = -112 - -185. What is the remainder when 78 is divided by g?
5
Let w(h) = 45*h**2 - 1. Calculate the remainder when w(2) is divided by 50/(-10) + 9*2.
10
Calculate the remainder when 3078 is divided by 6/(-24) + (-738)/(-72).
8
Let s = -435 - -498. Calculate the remainder when 691 is divided by s.
61
Suppose -9*r - 1521 = -18*r. What is the remainder when r is divided by 88?
81
Suppose 8*i - 245 = 7*i. Suppose -3*k = 3, -m + 2*k + i = 2*m. Calculate the remainder when m is divided by 2/(2 + 200/(-105)).
18
Let b = -20 - -34. Suppose -4*u = a - 45, 4*u - b = a + 21. Calculate the remainder when u is divided by 6.
4
Let h = 3 + 14. Let r = 13 + 9. Suppose 0 = 2*b - r + 12. What is the remainder when h is divided by b?
2
Suppose 5*j = -20, -6*j = -5*y - 2*j + 536. What is the remainder when y is divided by 7?
6
Let y(h) = 198*h - 395. Suppose 0 = r - 3*r + 4. Calculate the remainder when r is divided by y(2).
0
Let a = -287 + 314. What is the remainder when 347 is divided by a?
23
Let p(v) = -v**3 - 5*v**2 - 7*v - 3. Let i be p(-3). Let r = i - -9. Calculate the remainder when 32 is divided by r.
5
Let s = -130 - -64. Let k = 81 + s. Calculate the remainder when 74 is divided by k.
14
Let q(i) = -4*i**2 + 31*i + 10. What is the remainder when 185 is divided by q(7)?
30
Let p = -22 - -59. Suppose -2*m + 4*d + p = m, -d = -5. Calculate the remainder when 36 is divided by m.
17
Let l be 9*((-33)/(-9) - 3). Suppose -l*o + 84 = -3*o. Suppose m + 3*b - o = 0, -m - m + 59 = 3*b. What is the remainder when m is divided by 16?
15
What is the remainder when 49 is divided by 3/(552/176 + -1 + -2)?
5
Let w(u) = 3*u**2 - 14. Calculate the remainder when 18 is divided by w(3).
5
Suppose -4*v - 46 = -310. Let w = v + -40. Suppose 0 = 21*h - 25*h + 36. Calculate the remainder when w is divided by h.
8
Let p be -9 - (6 - 2 - 2). Let o be 11 + 0 - p/11. Let c = 27 - o. Calculate the remainder when 58 is divided by c.
13
Suppose -2*a = -3*s + 11, -2*s = -2*a + 2*s - 10. What is the remainder when ((-12)/a)/((-7)/(-196)) is divided by 10?
8
Let z = -14 + 587. Calculate the remainder when z is divided by 64.
61
Let i = -2029 + 3402. Calculate the remainder when i is divided by 16.
13
Let i(s) = -s**2 + 27*s - 17. Let a(t) = -5*t - 24. Let f be a(-9). Calculate the remainder when i(f) is divided by 28.
25
Let l(r) = 2*r**3 - 6*r**2 + r + 11. Calculate the remainder when 362 is divided by l(3).
12
Calculate the remainder when 56 is divided by 1/(((-6)/16)/(27/(-4))).
2
Suppose 3*y = 3*q + 162, -6*y = -y + q - 240. What is the remainder when 194 is divided by y?
47
Let x(j) = 6*j - 30. Let a be x(-5). Let v = a + 64. Calculate the remainder when 41 is divided by v.
1
Let r(i) = 6*i**3 + i**2 - 2*i. Let o be r(2). Suppose 7*q = 4*q + 90. Let l = o - q. What is the remainder when l is divided by 7?
4
Let z(w) = -6*w**2 + 12*w + 1. Let j(u) = -u**2 - u. Let c(r) = -5*j(r) + z(r). Calculate the remainder when c(16) is divided by 9.
8
Let o = -307 + 375. Calculate the remainder when 196 is divided by o.
60
Let r = 111 + -88. What is the remainder when 181 is divided by r?
20
Suppose 2*t = 4*r - r + 123, 0 = -4*r - 4. What is the remainder when (10/25)/(2/t) is divided by 7?
5
Let u = 10 + -35. Let m = u - -50. Calculate the remainder when m is divided by 13.
12
What is the remainder when 87 + -12*(-4)/8 is divided by 17?
8
Suppose 5*i + 15 = 2*p, 1 = -5*i - 4. Let d(h) = 3*h**2 - 3*h - 3. What is the remainder when d(p) is divided by 12?
9
Let u(b) = -9*b - 2. Let l be u(-3). Suppose 2*w = 4*w - 6. Suppose -4*k + w*k = -l. Calculate the remainder when k is divided by 7.
4
Let n(i) = 240*i - 2629. Let v(f) = -f**2 - 6*f + 2. Suppose -w = 5*l + 25, 5*w = 2*l + 16 - 6. What is the remainder when n(11) is divided by v(l)?
4
Suppose -2*x + 7*x + 4*h - 64 = 0, 0 = -2*x + 3*h + 44. Calculate the remainder when 24 is divided by x.
8
Suppose -5*t + 33 = -387. Let w = -28 + t. Let f = w - 30. Calculate the remainder when 75 is divided by f.
23
Suppose -3*u = 2*h - 62, -3*u = -4*u + h + 14. What is the remainder when (u/(-15))/(6/(-15)) is divided by 2?
1
Suppose 2*j - 5*f = -1, 15 = -0*j + 3*j - 2*f. What is the remainder when j is divided by 1?
0
Suppose -2381 + 920 = -5*h + 4*f, 4*f = 4. Calculate the remainder when h is divided by 14.
13
Suppose -5*c - 6 = 3*t, 6*t - 5*t + 2 = 0. Suppose p = 2*f - 6, 4*p - 11 = f - c*f. Suppose 6*h - 14*h + 136 = 0. What is the remainder when h is divided by f?
2
Let c(p) = 37*p + 230. What is the remainder when c(7) is divided by 83?
74
Let h = -140 - -155. Calculate the remainder when 7 is divided by (-16)/6*h/10 - -9.
2
Let z = 1091 + -537. What is the remainder when z is divided by 93?
89
Suppose 5*t + 2*a - 1559 = 0, -925 = -3*t + 60*a - 56*a. Calculate the remainder when t is divided by 39.
38
Suppose 0 = 10*r - 45 + 5. Suppose -r*g - 2*z + 0*z = -66, 2*g - 5*z - 15 = 0. What is the remainder when 36 is divided by g?
6
Let v(u) = -70*u - 1. Let i be v(-2). Let l = -82 + i. Suppose 4*f = -2*n + 54, -47*n + 52*n + 75 = 4*f. What is the remainder when l is divided by f?
12
Suppose -9*k = -3*k - 360. Let i = -33 + k. Calculate the remainder when i is divided by 15.
12
What is the remainder when 0 - (-1)/(-3) - 47940/(-423) is divided by 6?
5
Let v(w) = -w**2 - 12*w - 26. Let d be v(-9). What is the remainder when 171 is divided by d/((-176)/(-172) - 1)?
42
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