 -565 + 575. Let w = -7 - -10. Calculate the remainder when q is divided by w.
1
Let z(l) = -3*l**3 + 3*l**2 + 2*l - 2. Let c(h) = h**3 + h**2 - 2*h - 9. Calculate the remainder when z(-3) is divided by c(3).
16
Let c = 14 + -12. Suppose -5*q + 16 - 6 = 0. Calculate the remainder when (-1)/((-5)/q - -2) is divided by c.
0
Let f(j) = -j**2 + 13*j - 35. What is the remainder when 43 is divided by f(5)?
3
What is the remainder when (-24782)/(-34) - (-8)/68 is divided by 12?
9
Calculate the remainder when 225/(-6)*3/(-6)*4 is divided by 19.
18
Calculate the remainder when (-8)/36 - 0 - 897/(-27) is divided by 18.
15
Let x = 0 + 57. Let r(l) = l**2 + 2*l - 4. Let a(n) = 3*n**2 + 4*n - 9. Let m(o) = 6*a(o) - 15*r(o). Calculate the remainder when x is divided by m(4).
27
Suppose 2412 = 7*i - 3041. What is the remainder when i is divided by 10?
9
Let t(c) = -c**2 + c + 223. Calculate the remainder when 559 is divided by t(-10).
107
Let n(i) = -i**3 - i**2 + 3. Let s(j) = -j - 14. Let u be s(-14). What is the remainder when 4 is divided by n(u)?
1
Calculate the remainder when 123 is divided by 1 - 7/3 - (-1518)/99.
11
Suppose 0 = 4*a - 17 - 343. Suppose a = 6*m - m. Calculate the remainder when m is divided by (6/(-4))/(-3)*14.
4
Suppose -5*i + 6*i + 649 = 5*k, -2*k - 3*i = -246. Calculate the remainder when k is divided by 29.
13
Suppose -117*n + 118*n - 24 = 0. Calculate the remainder when 42 is divided by n.
18
Suppose 2*o + 12 = -o. Let w = 4 + o. Suppose 0 = -5*f + 5*x + 70, -4*f + w*x + 3*x + 51 = 0. What is the remainder when 15 is divided by f?
6
Let n = 5 + -2. Suppose -g - 4 = 7. Let c = -8 - g. Calculate the remainder when c is divided by n.
0
Suppose -3*k - 5*f + 88 = 0, 3*k = -2*f - 6 + 97. Calculate the remainder when k is divided by 11.
9
Suppose 221 = 3*r - z, -2*r - 2*r + z + 295 = 0. Let k(y) = -y**3 + 5*y**2 + 38*y - 171. What is the remainder when r is divided by k(5)?
17
Suppose n = -2*f + 4*n + 6, 3*n = 0. Let y(u) be the first derivative of u**2 + 15*u + 5. Calculate the remainder when f is divided by y(-7).
0
Let m(c) = c**3 + c + 20. Calculate the remainder when m(0) is divided by (-84)/(-54)*(-9)/(-2).
6
Calculate the remainder when (-1536)/(-14) - -5*(-4)/(-70) is divided by 19.
15
Let n(b) = 2*b**2 + 3*b + 4. Let k be n(-3). Suppose -48*z = -46*z. Suppose -5*f = 3*q - 41, f = -z*q - q + k. Calculate the remainder when 35 is divided by q.
11
Suppose -17*l = -284 + 114. Let x = 45 - l. What is the remainder when x is divided by 6?
5
Let z(v) = v**3 - 9*v**2 - 9*v - 4. Let k(f) = 2*f**2 + 20*f + 3. Suppose -175 + 65 = 11*b. What is the remainder when z(10) is divided by k(b)?
0
Suppose 2*j = 30 - 0. Suppose j = -5*v + 5*w, -w + 4*w = 9. Suppose 4*q - 2*q - 78 = v. Calculate the remainder when q is divided by 14.
11
Let f(l) = 2*l**3 - 35*l**2 + 16*l + 29. Calculate the remainder when 164 is divided by f(17).
8
Suppose 15*y = -63 + 753. What is the remainder when y is divided by 6?
4
Let t(v) = 4*v**2 + 5*v - 1. Let q = -63 - 5. Let m be q/12 + (-4)/(-6). Calculate the remainder when t(m) is divided by 19.
17
Suppose 2*i + 10 = 0, -2*l + 16 + 1 = -i. Suppose -v = -3*b + 4*v - 26, 0 = b + 2*v - l. Let s = 10 - b. Calculate the remainder when 35 is divided by s.
11
Let j = -11 - -13. Suppose 3*y + 700 = -j*y. What is the remainder when 13 is divided by (-4)/(-6) + y/(-42)?
1
Let o(z) = z**3 + z**2 + 2*z + 2. Let b be o(0). What is the remainder when 159 + -2 - (-2)/b is divided by 32?
30
Suppose -44*t = -49*t + 180. Suppose -14*l = -10*l - t. What is the remainder when 61 is divided by l?
7
Let m be (9 + -8)*(-2 + 17). Suppose 2*f + 577 = 4*r - 3*f, 0 = 4*r + 3*f - 537. Suppose -m = -3*q + r. Calculate the remainder when q is divided by 18.
15
Suppose 4*r = 2*g - 14, 6*g = 2*g + 5*r + 31. Calculate the remainder when 32 is divided by g.
5
Let f(s) = -s**3 + 9*s**2 - s + 12. Let y = 14 + -8. Calculate the remainder when y is divided by f(9).
0
Let y(r) be the third derivative of -r**5/60 + 3*r**4/8 - 2*r**3/3 - r**2. Suppose 0 = -114*j + 111*j + 42. Calculate the remainder when j is divided by y(8).
2
Let k(w) = -w**2 - 9*w + 34. Let y be k(-10). Let q = -2 - -4. Suppose 0 = f + 2*m + 4, -q*f + y = f - 3*m. Calculate the remainder when 15 is divided by f.
3
Let z(f) = -f**2 - 56*f + 129. Calculate the remainder when z(-55) is divided by 96.
88
Let q = 154 - 150. What is the remainder when 14 is divided by q?
2
Let v = -1048 + 1176. What is the remainder when v is divided by 35?
23
Let v be ((-28)/12 - -3) + 176/6. Let o = v - 8. Calculate the remainder when 62 is divided by o.
18
Calculate the remainder when 127 is divided by ((-1)/2)/((9/(-144))/1).
7
Suppose 0 = 5*l - 25, 2*y + 2*l + 4 = -10. Let b be y/28 + (-48)/(-14). Suppose -117 = -b*t - 30. Calculate the remainder when t is divided by 10.
9
Suppose -42 = 4*c - 6*c. Let z = c - 14. Let u(m) = -m**3 + 15*m**2 + 2*m - 12. What is the remainder when u(15) is divided by z?
4
Suppose 0 = -y - 74 + 414. Suppose 5*t - 3*i + y = -0*i, -4*i + 136 = -2*t. What is the remainder when 101 is divided by (-1)/(70/t - -1)?
33
Suppose -5*j = -3*i + 441, i - 4*i = -j - 429. Let u = 165 - i. What is the remainder when u is divided by 6?
5
Suppose 7*j - 2*p + 303 = 10*j, -j = 2*p - 105. What is the remainder when j is divided by 21?
15
Let j = 16316 + -16309. Suppose 1 = -z - 22. Let y = z - -43. Calculate the remainder when y is divided by j.
6
Suppose 2*r = -2*r + 124. Let q(g) = -2*g**2 - 41*g - 23. What is the remainder when q(-16) is divided by r?
28
What is the remainder when 9 + 0 + 8436/74 is divided by (2 - (-33)/(-6))*-6?
18
Let s be ((-1)/(-2))/(23/2254). Suppose s*r = 51*r - 72. What is the remainder when r is divided by 13?
10
Let z = 350 + -48. Suppose i + 193 + 368 = 3*p, 2*p = 2*i + 374. Let r = z - p. What is the remainder when r is divided by 29?
28
Let h be (1 + (-25)/15)/(4/(-30)). Suppose -2*v + h*u + 75 = 0, 3*u - 6*u + 35 = 2*v. What is the remainder when 49 is divided by v?
24
Let k be 167/6 + 3/(-54)*-3. Suppose 0 = k*t - 31*t + 54. Calculate the remainder when 26 is divided by t.
8
Let a(k) = 5*k**2 - 1. Let r be a(2). Let z be r/4 - 1/(-4). Suppose z*i - 69 = -4*g + 13, g - 45 = -3*i. What is the remainder when 39 is divided by i?
11
Let v(k) = 50*k**2 + 22*k - 49. Calculate the remainder when v(3) is divided by 18.
17
Let s = 557 + -492. What is the remainder when 259 is divided by s?
64
Suppose -h + 8*h - 224 = 0. Suppose -n - 2*n = -12. Suppose 3*v - v - 2 = 0, 0 = -4*x - n*v + h. What is the remainder when 25 is divided by x?
4
Let r be 10/(-25) - (-32)/5. Let w be (4/r)/((-6)/(-27)). Suppose -178 = -5*y - 3*z, w*z = y - 15 - 17. What is the remainder when y is divided by 12?
11
Suppose -4 = -2*y + 8. Let h(p) = -4*p**2 + 7*p + 4. Let l be h(y). Let x = l - -144. Calculate the remainder when x is divided by 12.
10
Let t(p) = p**2 + 3*p + 6. Let l be t(8). Suppose -3*g - 127 - 44 = 0. Let b = g + l. Calculate the remainder when b is divided by 13.
11
What is the remainder when 2024/55 - (-1)/5 is divided by 4/8 - (-42)/4?
4
Suppose 4*u - 398 = -94. Calculate the remainder when u is divided by 7.
6
Let f(y) = 4*y + 31. Let c(k) = -4*k + 19. Let v be c(6). What is the remainder when 43 is divided by f(v)?
10
Let n = 1586 - 1534. Suppose -4 = -2*r - 4*i + 22, -i - 7 = -r. Calculate the remainder when n is divided by r.
7
Suppose z + 4*w = -3, 5*w + 60 = 4*z + z. What is the remainder when 35 is divided by z?
8
Suppose 0 = -3*u - u + 32. Suppose -2*i + 8 = -3*z + 4*z, 2*i = -3*z + 8. Let d(g) = g**2 + 6*g + 31. Calculate the remainder when d(z) is divided by u.
7
Suppose -356 - 4 = 6*o. Let h = o - -70. What is the remainder when 137 is divided by h?
7
Suppose 3*w + 49 = 2*u - 13, 2*w = 4*u - 132. Suppose u = 4*i - 74. What is the remainder when 105 is divided by i?
24
Suppose 2*p + w = 13, -3*p + 3 = -5*w - 23. Let q be (-10 - -47)*(0 - 1). Let k = -26 - q. Calculate the remainder when k is divided by p.
4
Let c(a) = 5*a**2 - 3*a - 5. Let k be c(6). Let y = -101 + k. Suppose -25*t = -20*t - 95. Calculate the remainder when y is divided by t.
18
Suppose 19 - 119 = -2*c. What is the remainder when c is divided by 21?
8
Let m(a) = 12*a - 2. Suppose -2*y + 38 = -4*w,