 by 9.
5
Let o(a) = a**3 + 12*a**2 + 6*a - 9. Suppose -5 = 2*r + 5, 0 = -2*j - 4*r + 248. Calculate the remainder when j is divided by o(-11).
42
Suppose -4*c + 4*m = -52, -2*m - 4 - 49 = -5*c. Suppose -5*k + 37*l - 33*l = -150, -2*l = 5*k - 180. Calculate the remainder when k is divided by c.
7
Let o = 143 - 102. Calculate the remainder when o is divided by 6.
5
What is the remainder when (640/7)/(76/266) is divided by 23?
21
Let i be (-10)/(-15) - (-4)/3. Suppose 2*k - 5*a - 50 = 0, 0 = -k - k + i*a + 44. Calculate the remainder when 56 is divided by k.
16
Suppose 26 = -6*f - 16. Let j(r) = -r**3 - 7*r**2 - 3*r - 10. What is the remainder when j(f) is divided by 7?
4
Let u(r) = r**2 - 11*r - 29. Suppose -6*n + 64 + 20 = 0. Calculate the remainder when 63 is divided by u(n).
11
Suppose 5*b + 50 = 5. What is the remainder when 41 - -3*(-15)/b is divided by 16?
14
Suppose 0 = l - 4*h - 3, -4*l + 4*h = -5*l - 5. What is the remainder when 14 is divided by (l - 9)*2/(0 + -4)?
4
Let m be (-2)/(-1) + -4 + 24. What is the remainder when ((-112)/70)/(4/(-10)) is divided by m/8 - 6/8?
0
Let u = -56 + 65. What is the remainder when u is divided by ((-2)/5)/((-16)/240)?
3
Suppose 23*c = 69*c - 276. What is the remainder when c is divided by 1?
0
Suppose 9*b - 19 = 4*b - 3*n, -5*n = 4*b - 10. Let f = 9 + -7. What is the remainder when 7/2*f*1 is divided by b?
2
Suppose -5*x + 335 = -h, 5*x + 4*h - 83 = 227. Calculate the remainder when 255 is divided by x.
57
What is the remainder when ((-174)/10)/(57/(-285)) is divided by 45?
42
Let m(d) = -6*d - 10. Suppose 3*f + 4 = 5*f. Calculate the remainder when m(-4) is divided by (f + 10)*2/4.
2
Let u = 187 + -41. Calculate the remainder when u is divided by 19.
13
Suppose -480 = -6*h - 0*h. Let t(y) = -y**3 - 2*y**2 - 3*y + 5. Let b be t(-4). Suppose k = b - 22. Calculate the remainder when h is divided by k.
26
Let g = 1609 - 1570. What is the remainder when 440 is divided by g?
11
Suppose 921 = 10*i + 191. What is the remainder when i is divided by 15?
13
Let g(p) = 5*p**2 - 54*p - 174. Calculate the remainder when g(-3) is divided by 2/6 - 400/(-24).
16
Suppose 3*f = 5*f - 24. Let q = -10 + f. Suppose -3*j + 5*v + 317 = 0, 4*j - 3*v - 434 = -q*v. Calculate the remainder when j is divided by 16.
13
Let h = -609 + 752. Calculate the remainder when h is divided by 8.
7
Let p be 107/15 + 2/(-15). Let f = p - -2. Suppose -24 = -3*k + f. Calculate the remainder when 32 is divided by k.
10
Let t = 590 - 583. Let f(h) = h**2 + 3*h + 2. Suppose -5*l + 7 = -4*g, g = -l + 5 - 0. What is the remainder when f(l) is divided by t?
6
Let i = 1703 - 1575. What is the remainder when i is divided by 13?
11
Suppose 2*m = 2*z - 2*m - 16, -4*z + m + 11 = 0. Let b = 11 - -2. Suppose 5 = 3*q - b. Calculate the remainder when q is divided by z.
0
Let v(h) = 2*h + 4. Let j(m) = -4*m - 22. Let b be j(-10). What is the remainder when v(11) is divided by (-15)/6*b/(-3)?
11
Suppose 0 = 2*d - 6, 5*t = -4*d + 1310 - 83. Let v = t + -180. Calculate the remainder when v is divided by (-65)/(-4) + (-1)/4.
15
Let v(f) = 5*f**2 + 3*f + 2. Let d be v(-3). Suppose d = 4*g + t, 0*t + 2*t - 26 = -3*g. Calculate the remainder when 52 is divided by 2/5 + 266/g.
25
Suppose -4*g - 18 = -s, -4*g + 11 = 5*s - 7. Let b be -22 + 22 - (2 + -1 - 3). Suppose -10*w + 102 = b. Calculate the remainder when w is divided by s.
4
Suppose -b = 3*w + 346 - 41, 0 = -5*b + 3*w - 1471. Calculate the remainder when 16 is divided by b/(-56) + (-2)/7.
1
Suppose -2529*w + 72 = -2523*w. Calculate the remainder when 538 is divided by w.
10
Let r = 486 - 389. Calculate the remainder when 483 is divided by r.
95
Suppose 2280 - 2392 = -4*k. What is the remainder when 76 is divided by k?
20
Suppose 0 = 4*s + 4*s - 48. Suppose 2*a - 4 = 2. Suppose 0 = -3*p - 9, 3*f + 2*f - 29 = a*p. Calculate the remainder when s is divided by f.
2
Let c be (1*(5 + 0))/(-1 - -2). Suppose 104 + 36 = c*j. Calculate the remainder when j is divided by 17.
11
Suppose 2*v - 7*f + 18 = -3*f, -f = 4*v + 9. Calculate the remainder when v/((-3)/(18/2)) is divided by 4.
1
Let y be -10*((-5)/2 + 2). Suppose y*s = s + 96. Let l = 66 - s. What is the remainder when l is divided by 11?
9
Suppose 7*d - 3*d = 8. Let p(u) = 2*u**2 + 10*u + u**2 - 7 - 2*u**2. What is the remainder when p(-11) is divided by d?
0
Suppose 14*o + 1623 = 1651. Calculate the remainder when 22 is divided by o.
0
Let h(u) = 18*u**2 + 3*u - 2. What is the remainder when 297 is divided by h(-1)?
11
Suppose -2*t = 5*t + 133. Let n = 28 + t. What is the remainder when n is divided by 6?
3
Let f = 3 - 2. Let r = 2 - f. Suppose 0 = 2*i + 5*y + 14, -i + 9*y - 13 = 13*y. Calculate the remainder when i is divided by r.
0
Suppose -2*q + 2*d + 68 = -2, 5*q - 130 = -4*d. What is the remainder when 90 is divided by q?
0
Suppose g - 579 = -o, 12*o - 575 = 11*o + 3*g. What is the remainder when o is divided by 97?
93
Let i(r) = -2*r**2 - 26*r - 69. Calculate the remainder when 1354/14 + 6/21 is divided by i(-8).
9
Let y be ((88/(-12))/((-2)/(-18)))/1. Let b = y - -78. Calculate the remainder when b is divided by (-21)/(-6)*(0 + 2).
5
Suppose v - 831 = -5*n, -2*n - 176 = v - 506. What is the remainder when n is divided by 25?
17
Let r be ((-20)/3)/(2/24). Let j = 170 + r. Suppose m - 61 = -4*x, 2*m - 2 = -2*x + j. Calculate the remainder when m is divided by 14.
13
Suppose 2*b - 146 = -2*q, -5*q + 9*q = -3*b + 287. What is the remainder when q is divided by 13?
3
Let p = 44 - 40. What is the remainder when (p - (-1304)/10) + 6/(-15) is divided by 17?
15
Let x be (-3)/(-6)*-2*-1. Suppose -x = -4*h + 11. What is the remainder when 17 is divided by (4 + 35/(-15))*h?
2
Suppose 0 = 3*w - 9*w + 36. Let y(z) = -6*z + 1. Let t be y(3). Let u = -6 - t. Calculate the remainder when u is divided by w.
5
Let w = 595 - 588. What is the remainder when 11 is divided by w?
4
Suppose 0 = -112*s + 522 + 38. Suppose t - 65 = -4*t. What is the remainder when t is divided by s?
3
Let a be (-5 + 5)/(0 + -1). Suppose u - k = -u + 16, u - k - 7 = a. Calculate the remainder when 26 is divided by u.
8
Let n = 27 + -25. Let z(q) = 8*q**2 - q + 4. Let x(r) = -2*r**3 + 2*r**2 + 2*r - 2. Calculate the remainder when z(n) is divided by x(-2).
16
Let l be 4*(15 - (-8 - -5)). Let g(y) = -y**3 - 3*y**2 - 5*y - 5. Calculate the remainder when g(-5) is divided by (136/7 - 1) + l/(-168).
16
Let t = 28 + -19. Let a = -974 - -978. What is the remainder when t is divided by a?
1
Let y be 0 + (1 - (1 - 0)). Suppose -15*c + 9*c + 246 = y. What is the remainder when c is divided by 7?
6
Let n = 817 - 766. What is the remainder when 194 is divided by n?
41
Let d(m) = -m**2 - 11*m - 21. Let t be d(-7). Calculate the remainder when 23 is divided by 1*t/((-21)/(-36)).
11
Let p = -28 + 135. Suppose 0 = -4*f - 4*z + 88, 0 = -3*f - 4*z + 29 + 32. Calculate the remainder when p is divided by f.
26
Let f = -7 - -27. What is the remainder when 98 is divided by f?
18
Suppose -40*s + 698 = 2*y - 36*s, 3*y + s = 1062. Calculate the remainder when y is divided by 51.
49
Let u(h) be the third derivative of h**5/60 + 7*h**4/8 - 7*h**3/6 - 20*h**2. What is the remainder when u(-23) is divided by 25?
14
What is the remainder when -3 + (-21)/(-6) + (-69)/(-6) is divided by 1/(38/(-10) + 4)?
2
Let s(g) = -6*g. Let b(j) = 10*j + 4*j**3 + 53 - 5*j - 6*j - 3*j**3. What is the remainder when b(0) is divided by s(-3)?
17
Let p(b) = b**2 + 3*b. Let n be p(-5). Suppose -11*f - n = -13*f. Calculate the remainder when 13 is divided by f.
3
Let q(x) be the third derivative of -13*x**4/24 + x**3/3 + 2*x**2. What is the remainder when q(-2) is divided by 15?
13
Let z = 689 - 594. What is the remainder when 185 is divided by z?
90
Suppose 0 = -31*z + 52*z - 9366. What is the remainder when z is divided by 45?
41
Suppose -32 = -3*f + 22. Let x(t) = t - 2*t + 4 + 7*t + 16*t. What is the remainder when x(3) is divided by f?
16
Let i = -60 + 18. What is the remainder when (i/10)/(4/(-100)) is divided by 36?
33
Let q be 0 - (20/(-5) - -1). Suppose -u - 790 = -q*c, -2*c + 4*u - 1311 = -7*c. What is the remainder when c is divided by 19?
16
Suppose 3*d + d - 60 = 0. Let x = d - -5. What is the remainder when 55 is divided by x?
15
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