 0 = 3*q - 61 - b. Calculate the remainder when q is divided by o(-3).
7
Let u(h) be the third derivative of h**6/120 - 3*h**5/20 + 11*h**4/24 + 8*h**2. Calculate the remainder when 189 is divided by u(8).
21
Suppose -3*p - 118 + 11 = -2*m, -p - 53 = -m. What is the remainder when m is divided by 12?
4
Let n = -43 + 90. Let h = -26 + n. What is the remainder when 80 is divided by h?
17
Let k be (1 - 0) + 2 + 207. Suppose -48*c + k = -43*c. Suppose -5*u = -4*t - 54 - 15, -3*u + 3*t + c = 0. What is the remainder when 22 is divided by u?
9
Suppose 3*g + 0 = -2*a + 1, -4*g = 5*a + 8. Let j(v) = -v**3 + 3*v**2. Let n be j(g). Suppose 55 = -n*u + u. What is the remainder when u is divided by 19?
17
Let g = 6 + 11. Suppose 2*w + 6 = -5*o, -3*o + 6 = -2*w + 16. Suppose w*r + r = 201. Calculate the remainder when r is divided by g.
16
Let k(q) = 2*q**3 + 2*q**2 + 4*q. Let y = -32577 - -32590. Calculate the remainder when k(3) is divided by y.
6
Let i = 13 - 10. Suppose 0 = -i*t + 284 - 89. Suppose -94 = -3*w + t. What is the remainder when w is divided by 14?
11
Suppose -2*g + 4*g = -3*c + 93, 0 = c + g - 31. What is the remainder when 210 is divided by c?
24
Suppose -4*x = 5*q - 145, q - 130 = -4*q - x. Suppose 2*k - 9 = q. What is the remainder when k is divided by 8?
1
Let l(q) = -3*q**3 - 30 - 6*q**2 + 22 + 2*q**3 + 5*q. Let t be l(-7). Suppose -t*y = -y - 70. Calculate the remainder when y is divided by 5.
4
Suppose -w + 4*w - 27 = 0. Let g(l) be the third derivative of -5*l**4/8 - 3*l**3/2 + l**2. What is the remainder when g(-4) is divided by w?
6
Let n be (-2)/7 - (-24864)/(-98). Let g = -111 - n. What is the remainder when g is divided by 29?
27
Suppose 0 = 2*i - 8*i + 732. Suppose i = 4*p - 2*m, -p + 0*p = 4*m - 17. Calculate the remainder when 85 is divided by p.
27
Let q = -138 - -204. Suppose -3*y - 2*p = -q - 138, -y - 3*p = -75. Calculate the remainder when y is divided by (0 - (-34)/4)*2.
15
Let b be 4/(-16) + (-26)/(-8). Suppose b*q = -0*q + 111. Suppose 3*x + 30 = 3*k - 45, 5*k + 5*x = 75. Calculate the remainder when q is divided by k.
17
Let u(s) = 61*s**2 - 29*s + 30. What is the remainder when u(1) is divided by 25?
12
Let d = 2047 - 1904. Calculate the remainder when 853 is divided by d.
138
Suppose 0 = b - 6*b + 10. Suppose 57 = n + b*n. What is the remainder when 51 is divided by n?
13
Suppose 4*r + 7 = 67. Suppose -f + 4*x + 480 = -5*f, -f = 3*x + 128. Calculate the remainder when (f/3)/(2/(-3)) is divided by r.
13
Let v(d) = -d**3 + d. Let i be v(-2). Suppose 4*r - r = i. What is the remainder when 1 - 0 - (0 + -3 + 1) is divided by r?
1
Suppose -5*c - 50 = -0*c. Let u = c - -11. What is the remainder when 1 - (-1 - u - 4) is divided by 3?
1
Let l = -14 - -19. Let a = l + 6. What is the remainder when a is divided by ((-16)/(-6))/4*6?
3
Suppose 0 = -3*y - 12, -90*q + 5*y = -92*q + 92. What is the remainder when 334 is divided by q?
54
Let p = -26 - -37. Let s(w) = w**2 - 6*w + 14. What is the remainder when s(12) is divided by p?
9
Suppose 5*s - 2*s - 63 = 0. Let t(p) = p**2 + p + 1. Calculate the remainder when s is divided by t(3).
8
Suppose 4*z + 4*i - 444 = 0, i + 3*i = -3*z + 335. Calculate the remainder when z is divided by 38.
33
Let o = 30 - 29. Suppose 0 = 7*p + o - 15. What is the remainder when 2 is divided by 10/4 + (-1)/p?
0
Let y be 43 - (-6 - (12/(-3) - -1)). Let g = 53 - y. Calculate the remainder when 47 is divided by g.
5
Let a be -3*(-10)/(-6)*(-4)/5. Suppose 0 = 2*b - 3*k - 28, 16 = -a*b - 2*k + 56. What is the remainder when 117 is divided by b?
7
Calculate the remainder when ((-18)/(-6))/(2/22) is divided by 20.
13
Let s(f) = 11*f + 41. Let l be s(-6). Suppose -2*c + 160 = 4*a + 2*c, -140 = -3*a + 2*c. Let k = l + a. What is the remainder when 37 is divided by k?
18
Let f = 0 + 0. Suppose 0 = 3*x + x - 28. What is the remainder when x is divided by (5 - f)/((-4)/(-4))?
2
Suppose -4*q + 322 = -2*t, -3*q + 5*q + t - 159 = 0. Calculate the remainder when q is divided by 41.
39
Calculate the remainder when 23*(3 - 8)*-1 is divided by 20.
15
Let n(a) = 2*a**2 - 23*a - 109. Calculate the remainder when 103 is divided by n(-5).
47
Let v(n) be the first derivative of n**4/4 - 2*n**3/3 - n**2/2 + 5*n + 10. Suppose 4*m - 40 = -0*m. What is the remainder when m is divided by v(2)?
1
Let w(j) = -4*j - 2. Suppose -4*f + 4*t + 116 = 0, 6*t + 22 + 8 = 0. Calculate the remainder when f is divided by w(-4).
10
Calculate the remainder when 337 is divided by 20/(-2) - 8352/(-96).
29
Suppose -20 = 4*o + 4*p, o + p = 2*o + 5. Calculate the remainder when 107/2 - o/10 is divided by 13 + 1 + 0/(-1).
12
Suppose -4*c + 6*c = 62. Suppose o + 5 = 2*o - 3*s, -2*o = s - c. Suppose -8*t + 9*t = 40. What is the remainder when t is divided by o?
12
Let j = 2799 + -2730. What is the remainder when j is divided by (2/(-2))/((-2)/36)?
15
Let m(f) = 5*f**2 + 10*f + 123. What is the remainder when 490 is divided by m(0)?
121
Let l(p) = p**3 + 9*p**2 - 22*p + 16. Let j be l(-11). Suppose 3*d - r + 0*r = j, 4*d + 3*r = 4. Calculate the remainder when 8 is divided by d.
0
Suppose 197*d - 202*d = -25. Let z(o) = -o**2 - 7*o + 6. Let f be z(-7). Suppose -2*g - g + f = 0. What is the remainder when d is divided by g?
1
Suppose -5*z - 4*x = -197 - 123, 4*x + 40 = z. What is the remainder when 288 is divided by z?
48
Let x(y) = 46*y + 48. What is the remainder when x(3) is divided by 49?
39
Suppose -4*t + 69*d - 64*d = -121, 3*d - 84 = -3*t. Calculate the remainder when 143 is divided by t.
27
Suppose -351 = -9*i + 2610. What is the remainder when i is divided by 33?
32
Suppose w + 20 = 5*w. Suppose -w*y + 2*d + 692 = 0, -160 = -y + 3*d - 8*d. Calculate the remainder when y is divided by 13.
10
Let n(l) = l**2 - 5*l + 23. What is the remainder when 78 is divided by n(2)?
10
Let n(f) = 21*f**2 - f. Let y = -21 + 23. Calculate the remainder when -3 + 59 + 4 - y is divided by n(1).
18
Suppose -222 + 147 = -5*c. What is the remainder when 48 is divided by c?
3
Let g = 64 + -54. Calculate the remainder when 140 is divided by -94*(g/(-2))/10.
46
Let v = -31 - -35. Suppose -z + v*c = 17, -4*z + c + 4 = -z. Calculate the remainder when 4 is divided by z.
1
Suppose -2*b - 27 = -5*r - 5*b, -4*r - 3*b = -21. Suppose 0 = -135*a + 134*a + 8. What is the remainder when a is divided by r?
2
Suppose 168 = -8*h + 16*h. Suppose -24 = -5*t + h. Calculate the remainder when 26 is divided by t.
8
Suppose s - 3 = -69. Calculate the remainder when ((-4)/6)/(4/s) is divided by (-14)/42*21 - 2/((-2)/13).
5
What is the remainder when (-33)/55 + (-1636)/(-10) is divided by 5?
3
Suppose 0 = 4*b + 20, -5*w + 5 = 4*b - 0*b. Suppose -2*o + 4*o = -3*z + 35, -w*z + o = -41. Calculate the remainder when z is divided by 3.
0
Suppose 2*d + 2*o - 19 = -d, 5*d - 35 = -4*o. Suppose -q - d*v = -6, -2*q + 5*v - 3*v + 20 = 0. Calculate the remainder when 25 is divided by q.
7
Suppose -5*z + 297 + 203 = 0. Calculate the remainder when z is divided by 34.
32
Suppose 0 = t + 3. Let w be (-1 + -9)/(t/(-6)). What is the remainder when (-542)/(-10) + 4/w is divided by 14?
12
Let g(v) = 2*v**2 + v + 18. Let y be g(0). Suppose -17 = b - y. Calculate the remainder when b is divided by 1.
0
Suppose -4*f + 5*k = 12, k + 12 = -4*f - 2*k. What is the remainder when 46 - (-3)/(f/1) is divided by 8?
5
Let h(f) = -f**3 + 5*f**2 + 15*f - 8. Suppose 0 = a + 5*j - 14, -3*j + 2*j = 0. What is the remainder when h(4) is divided by a?
12
Let o(j) = 442*j**3 - 2*j + 1. What is the remainder when o(1) is divided by 74?
71
Suppose 272 = 7*l - 50. Let o(g) = g**2 - 7*g + 5. Let p be o(7). Let w(f) = f**3 - 4*f**2 - f - 4. Calculate the remainder when l is divided by w(p).
14
Suppose 660*l = 665*l - 360. Calculate the remainder when l is divided by 26.
20
Suppose 4*k - 16 = 0, 4*k - 12 = n - 76. Calculate the remainder when 555 is divided by n.
75
Calculate the remainder when 25 is divided by ((-36)/(-18))/(3/9).
1
Let v(z) = 4*z + 28. Suppose -4*b = -8, -3*k + 34 + 0 = -b. What is the remainder when v(k) is divided by 13?
11
Let l be (-8 + 9)*(-5 - -2)*-1. Suppose -y = l*u - 30, -y - 4*y = -3*u + 12. Calculate the remainder when 61 is divided by u.
7
Calculate the remainder when 11/(22/(-10)) - -55 is divided