 -6 + (-3144)/(-21) - (-4)/14. Let o = l + -76. What is the remainder when o is divided by 23?
22
Suppose -2*x = 4*m - 8, -2*m = -5*m - 3*x. Suppose -378 - 86 = -m*q. What is the remainder when q is divided by 30?
26
Calculate the remainder when (-5304)/(-8) + (5 - -1) is divided by 98.
81
Suppose -i + 10 = 5*m, 14 = 2*m + 2*i + 2. Suppose -8 = -q - m. Let s = -9 - -14. What is the remainder when q is divided by s?
2
Let h(y) = -y**2 + 24*y - 20. What is the remainder when 4 is divided by h(23)?
1
Suppose -4*m - 2*k + 20 = 0, -5*m - 3*k + 5 = -21. Suppose -m*x - 164 = -8*x. Let w(b) = 10*b + 33. What is the remainder when w(13) is divided by x?
40
Let m be 95/(-7) - 12/28. Let c = 32 + m. Calculate the remainder when 69 is divided by c.
15
Let v = 55 + 3. Suppose -j + v = j. Suppose -b - z + 134 - 24 = 0, 485 = 4*b - 5*z. What is the remainder when b is divided by j?
28
Let i(a) = 2*a**2 + 19*a + 85. What is the remainder when 153 is divided by i(-4)?
30
Let g(o) = -347*o + 61. Calculate the remainder when g(-7) is divided by 14.
12
Let q = -24 + 27. Suppose -4*k - 11 = d, 0 = 4*d - 2*k + q*k - 1. Calculate the remainder when 3 is divided by d.
0
Let z = 792 - 478. Suppose 4*p + l + 57 = z, -2*p + l = -121. What is the remainder when p is divided by 11?
8
Let y(s) = 31*s - 7. Calculate the remainder when 61 is divided by y(1).
13
Calculate the remainder when 270 is divided by 925/55 - 6/(-33).
15
Let l = -28 - -44. Let d(r) be the third derivative of r**5/60 + 7*r**4/24 + r**3/6 + 7*r**2. What is the remainder when d(-10) is divided by l?
15
Let a(b) be the first derivative of -b**4/4 + 10*b**3/3 - 7*b**2 - 6*b + 33. Calculate the remainder when 27 is divided by a(8).
7
Suppose -3*a = -9*a + 1008. What is the remainder when a is divided by 19?
16
Let u(s) = s + 14. Let v = 19 + -28. What is the remainder when 13 is divided by u(v)?
3
What is the remainder when 11 - (-253 + 4 + -4) is divided by 33?
0
Let z be (((-18)/(-5))/2)/((-12)/(-40)). Suppose -7*k = -69 + z. What is the remainder when 26 is divided by k?
8
Let y = -37 - -60. Let x = y + 45. Calculate the remainder when x is divided by 35.
33
Suppose -5*c + 3 = -k - 75, 0 = 4*c + 4*k - 72. Let o(b) = 2*b**3 - 51*b**2 + 31*b - 111. What is the remainder when o(25) is divided by c?
7
Suppose -5*x - 1076 = 4*u - 4560, -2*x + 1387 = -5*u. Calculate the remainder when x/16 + (-3)/(-2) is divided by (-23)/(-1)*1 - 0.
22
Suppose b - 9 = 4*k + 5, -2*b = -5*k - 16. Calculate the remainder when (-1)/(221/(-55) - k) is divided by 28.
27
Let j = 8 - 8. Suppose -3*l + j*l + 45 = 2*x, 60 = 4*l + 5*x. Suppose -r + 173 = 2*r + 2*p, 5*p + 246 = 4*r. Calculate the remainder when r is divided by l.
14
Let g = -3560 - -3570. Calculate the remainder when (-4)/(-6) - 74/(-6) is divided by g.
3
Let d(k) = k**3 - 10*k**2 - 6*k + 8. Let t be d(11). Let s = t + 12. Let h(l) = -21*l**3 - 1. What is the remainder when s is divided by h(-1)?
15
Let b(u) = -u**3 + 5*u**2 + 5*u + 18. What is the remainder when 36 is divided by b(6)?
0
Suppose 3*u - 6 = 2*l, l - 6 - 9 = -3*u. Suppose -2*f - 5*h = -16, f + 0*f - 11 = -h. Calculate the remainder when f is divided by u.
1
Let w(n) = -2*n**2 + 70*n + 55. Calculate the remainder when w(31) is divided by 17.
14
Let g(k) = k**2 - 10*k + 187. Calculate the remainder when g(0) is divided by 24.
19
Suppose 89*j - 3222 = 83*j. Calculate the remainder when j is divided by 7.
5
Suppose 5*c - 532 = 4*y - 2131, -3*y = -c - 1213. What is the remainder when y is divided by 16?
6
Suppose -4*y - 2*r + 94 = -0*r, 5*y = -r + 110. What is the remainder when y is divided by 8?
5
Let a = -13 - -27. Calculate the remainder when a is divided by (-2 - 0)*(-250)/100.
4
Let f = -13 - -19. Calculate the remainder when 123 is divided by f.
3
Suppose 82 = 2*g - 3*z, 5*z + 98 + 62 = 4*g. Let q(k) be the second derivative of -2*k**3/3 - 7*k**2/2 + 2*k. What is the remainder when g is divided by q(-4)?
8
Suppose -o + 1 = 3*n + 3, -2*n - 4 = 0. Suppose 0 = -o*p + 12*p - 128. Calculate the remainder when 46 is divided by p.
14
Let t(l) = l**3 + 6*l**2 - 17*l + 25. Calculate the remainder when t(-8) is divided by 16.
1
Let n(t) = -t**2 - 5*t + 17. Let r be n(-7). Calculate the remainder when (r/1 + -4)*-58 is divided by 15.
13
Suppose -269*p = -270*p + 81. Let a = 8 + -3. Let y(t) = -t**3 + 7*t**2 - 6*t + 1. What is the remainder when p is divided by y(a)?
18
Let j = -4 - -5. Suppose 0 = -5*s - 5*n + 60, 0 = -5*s - 0*n - n + 68. What is the remainder when 36 - -4 - (j - -1) is divided by s?
10
Let h = -10 + 12. Suppose h = 4*o - 2. Calculate the remainder when (o - (-1 - -33))*-1 is divided by 8.
7
Let r = 64 + -2. Let w = 40 + -27. Calculate the remainder when r is divided by w.
10
Suppose -6*t - 1 = -4*t + 5*n, 21 = 3*t + 3*n. Calculate the remainder when 67 is divided by t.
7
Let j = -84 - -167. Suppose 2*z + 2*v - j = v, -64 = -z - 5*v. Calculate the remainder when z is divided by (8/2)/2*10.
19
Calculate the remainder when -3*2*(-3)/6*35 is divided by 53.
52
Suppose -25*z + 14*z = -176. Calculate the remainder when 56 is divided by z.
8
Suppose -2*q + 3*j = -136, 4*j - 214 + 2 = -4*q. Calculate the remainder when q is divided by (-324)/(-10) + (-2)/5.
27
Let u(x) = x - 4. Let c be u(9). Suppose 2*d = c*n + 36, 2*n + 58 = 4*d - n. Calculate the remainder when d is divided by (384/(-240))/((-4)/10 - 0).
1
Let u = -14 + 14. Suppose -4*n + 8 = u, r + r - 16 = 4*n. Let z = -2 + r. What is the remainder when 38 is divided by z?
8
Let u = -25 - -30. Let t = -5 + 7. Suppose 0 = -t*c - u*a + 3, -3*a + 17 = -2*c + 60. What is the remainder when 54 is divided by c?
12
Suppose 0 = 3*o - 194 + 5. Suppose -3*f - 7*s + 56 = -2*s, -s - 84 = -5*f. Calculate the remainder when o is divided by f.
12
Let g = -41 - -89. Suppose -2*q = q - g. Let d(i) = i**3 + 5*i**2 - 8*i - 3. Calculate the remainder when d(-4) is divided by q.
13
Let p(b) = -2*b**3 + 34*b**2 - 38*b + 31. Let c be p(16). Let k = -47 + 8. Let a = k - c. Calculate the remainder when 102 is divided by a.
24
Let o = -62 + 151. Suppose -82 = 3*q + 44. Let c = o + q. What is the remainder when c is divided by 12?
11
Let d = -233 + 318. Calculate the remainder when d is divided by 44.
41
Calculate the remainder when 82 is divided by -2 + ((-32)/32)/((-2)/16).
4
Let d(a) = 2*a**2 - 3*a - 4. Let g be (-1 + -1)*(-12)/(-8). Let m be d(g). Let q = m + -7. What is the remainder when q is divided by 3?
1
Let q = 100 - 94. Let r(h) = -h + 30. What is the remainder when r(14) is divided by q?
4
Let i = -145 - -150. Suppose -4*d = 12, 3*d + 7 + i = c. Calculate the remainder when 3 is divided by c.
0
Let k(h) be the first derivative of h**3/3 + 3*h**2 + 14*h + 4. Calculate the remainder when 54 is divided by k(-6).
12
Suppose 4*f - 329 = 31. Let l = f - -21. Let r = l - 46. Calculate the remainder when r is divided by 17.
14
Let h be 3 - (1 - ((-16)/(-4))/4). Suppose -5 = 5*d + 15, 0 = -5*o + h*d + 232. Calculate the remainder when o is divided by 8.
4
Let h = -8 + 42. Suppose -5*x + 22 = -23*i + 24*i, 5*i - x = 110. Calculate the remainder when h is divided by i.
12
Calculate the remainder when (-22 + 24)/((-100)/51 - -2) is divided by 11.
7
Let d(f) = -f**3 - 18*f**2 - 33*f - 10. Let k be d(-16). Suppose -4*m - 14 = -4*r + 34, r + 5*m - k = 0. What is the remainder when 43 is divided by r?
10
Let c = 321 - 306. What is the remainder when c is divided by 4?
3
Let w = 25 + -23. Suppose -s = -4*n - 3 + 25, -w*s - 2 = -n. Calculate the remainder when 21 is divided by n.
3
Suppose -150 = -2*m - 4*m. Suppose 68 = o - 13. Suppose 4*d = 5*v - 368, -v = 5*d + 19 - o. What is the remainder when v is divided by m?
22
Let t(b) = b**3 - 20*b**2 - 57*b + 49. Calculate the remainder when t(24) is divided by 90.
85
Let l(o) = -o. Let q(a) = -55*a + 4. Let i(y) = -4*l(y) - q(y). Calculate the remainder when i(1) is divided by (-82)/(-6) + (-1)/(-3).
13
Let y(n) = -n**2 + 16*n - 26. Let o be 2*-1 + (2 - 15). Let s = o + 35. What is the remainder when y(7) is divided by s?
17
What is the remainder when 55 is divided by (-22 + 4)/((-16)/40) + -3?
13
Let v(z) be the first derivative of 28*z**3/3 - z**2/2 - z + 9. What is the remainder when 111 is divided by v(-1)?
27
Suppose -17*g = 119