9 + -55. Suppose 0 = -g*y + 166 + 50. What is the remainder when 34 is divided by y?
2
Suppose 0 = 4*p - 18*p - 30*p + 2288. Calculate the remainder when 927 is divided by p.
43
Let o be 332/6 + (-1)/3. Let h be (-23 - (4 - 13))*(-6)/21. Suppose -z = 4*q - o, -49 = -h*q + 5*z - 4*z. Calculate the remainder when 114 is divided by q.
10
Let d(v) = 94*v - 38. Let j be d(9). What is the remainder when (-5 - 28/(-8))*j/(-6) is divided by 51?
49
Suppose 534*g + 1054129 = 725*g. Calculate the remainder when g is divided by 6.
5
Let y be 4*(0 - (-1)/2). Suppose -2*h + 567 = 5*z, -z = -y*h - 5*z + 568. What is the remainder when h is divided by 36?
34
Suppose 0 = 5*h + 3*z - 82, -4*h + 56 = -5*z - 17. Let s be (-6 - -8)/(2/(-1)). What is the remainder when h is divided by -4 - (5 + -14 + s) - 2?
1
Let x(l) = 2*l**2 + 7*l + 7. Let f = 209 - 124. Let g = 81 - f. What is the remainder when 32 is divided by x(g)?
10
Let y = -10 - -26. Let f = 116053 - 116009. Calculate the remainder when f is divided by y.
12
Let r(c) = 3*c**2 - 393*c - 689. What is the remainder when r(147) is divided by 98?
95
Suppose 0 = 4*p - 351*b + 355*b - 5904, 5*p - b - 7392 = 0. What is the remainder when p is divided by 4?
2
Suppose -774 = 4*j - 13*n + 8*n, 2*j + 3*n + 376 = 0. Let f = 216 + j. What is the remainder when f is divided by 15?
10
Let q = 1954 + -1909. What is the remainder when 157 is divided by q?
22
Let q(d) = d**3 + 2*d**2 + 4*d + 39. What is the remainder when 5769 is divided by q(0)?
36
Let v = 297 - 187. Suppose -4*p + 4*c + 1708 = 0, 0 = -5*p + 8*p + c - 1273. Calculate the remainder when p is divided by v.
95
Let y(v) = 34*v**2 - 2*v + 3. Let n(j) = j**2 + 12*j - 3. Let s be n(-9). Let z = -19 - s. Calculate the remainder when z is divided by y(0).
2
Let x = 17 - 5. Let j be -6 + (-86)/(-4) + 10/(-20). Suppose 15*g = -j*g + 1200. What is the remainder when g is divided by x?
4
Suppose -5*p - 4*z = -35 + 10, 3*z + 5 = p. Suppose 2 = u - 10. What is the remainder when 66/(-4)*(-16)/u is divided by p?
2
Suppose -2*y - 57 - 22 = -5*w, -5*w + y + 82 = 0. Suppose -4*i = -w*i + 2002. Calculate the remainder when i is divided by 13.
11
Let p(q) = -46*q - 1. Let y = 24 + -25. Let j be p(y). Let t = j - 31. What is the remainder when t is divided by 5?
4
Suppose -r - 29 = -3*h, -h = -4*r - 6*h - 31. Let y(g) = 5*g - 10. What is the remainder when y(20) is divided by (13 + r)*(-62)/2?
28
Let y = 17 - -33. Calculate the remainder when 16 is divided by (90/y)/((-4)/(-20)).
7
Let u(x) = -x**3 + 37*x**2 + 122*x - 17. Let o = -507 + 758. What is the remainder when o is divided by u(40)?
62
Let r be (966/105)/((-4)/(-10)). Let v = r - 13. Let x(h) = h**3 - 46*h**2 - 45*h - 66. What is the remainder when x(47) is divided by v?
8
Suppose -8 = -4*o + 108. Suppose 0 = -4*v - 65 + 61. Calculate the remainder when o*(8 + -7) - (-3 + v) is divided by 15.
3
Suppose 8*f + 80 = 8*f + 5*f. What is the remainder when 30 is divided by f?
14
Suppose -3*y - y = -60. Let h be 8 - (-225)/(-27) - 736/(-3). Suppose c - 6*c + t = -225, 5*c - 5*t - h = 0. Calculate the remainder when c is divided by y.
14
Let g(x) be the second derivative of -1/6*x**3 + 18*x**2 - 1/12*x**4 + 0 + 15*x. Calculate the remainder when 140 is divided by g(0).
32
Let y(w) = -25*w - 66. Let u(j) = 9*j + 22. Let l(o) = -11*u(o) - 4*y(o). What is the remainder when 238 is divided by l(8)?
28
Let b = 845 - 828. What is the remainder when 1080/(-16)*(-2)/1 is divided by b?
16
Let g(y) = -y**2 + 35*y + 74. Let n be g(37). Let t = -53 - -104. Suppose n*a + 3*a - t = 0. Calculate the remainder when a is divided by 10.
7
Suppose 0 = 453*a - 110*a + 2744. Let s(m) be the first derivative of m**4/4 + 8*m**3/3 - 3*m**2 + 17*m - 1. Calculate the remainder when s(a) is divided by 22.
21
Let f = -6693 - -6747. Calculate the remainder when f is divided by 11.
10
Let z be (4 + 46/(-10))*(-13 - 92). Suppose -170*y = -173*y + z. What is the remainder when 136 is divided by y?
10
Suppose -y + 145 - 90 = -p, -3*p = 2*y - 135. What is the remainder when 299 is divided by y?
59
Let b(h) = h**3 - 38*h**2 - 78*h - 40. Let u be 18/(-135) - 1806/(-45). Let f = 85 - 6. Calculate the remainder when f is divided by b(u).
39
What is the remainder when 16/(-72) - -1*148/18 is divided by 3/(-5) + 2*(-231)/(-70)?
2
Suppose 14*t + 4736 = 22*t. Suppose 0 = -4*x - 60 + t. What is the remainder when x is divided by 37?
22
Suppose 25*n = 19*n + 12. Suppose -2*h = -n*s - 272, -268 = -2*h + 7*s - 4*s. What is the remainder when h is divided by 11?
8
Let z(a) = -a**3 + a + 79. Calculate the remainder when z(0) is divided by (6 + (-260)/30)*(-17 + (2 - 0)).
39
Let v be (30/27)/(-5) + 42568/72. Let g = 629 - v. What is the remainder when 260 is divided by g?
32
Suppose -2*u - 28 = -5*r, -r + 13 = 2*r - 5*u. Let p(t) = t**2 - 12*t - 1. What is the remainder when p(13) is divided by r?
0
Suppose -66*r = -63*r - 6. Suppose 0 = -2*s - r*w + 94, 3*s + 2*w = 7*w + 133. Calculate the remainder when 91 is divided by s.
45
Let l(h) be the first derivative of 18 - 1/3*h**3 - 13/2*h**2 + 28*h. What is the remainder when 111 is divided by l(-13)?
27
What is the remainder when 116 is divided by 18 + -32 + (71 - 4)?
10
Let a(h) = 0 - 3 + 14 + 0 + 3*h. Let m be a(24). Suppose 0 = m*d - 88*d + 25. Calculate the remainder when 18 is divided by d.
3
What is the remainder when ((-36)/(-22))/(503/60863) is divided by 36?
18
Suppose 211*t - 194*t = 1411. Calculate the remainder when 107 is divided by t.
24
Let j(v) = v**3 + 7*v**2 + 3*v - 5. Suppose 2*h = -8, -22*t - 54*h + 4734 = -55*h. Calculate the remainder when t is divided by j(-4).
29
What is the remainder when 276 is divided by (72/(-42))/((-87)/4060)?
36
Suppose 0 = a + p - 40, 0 = a - 4*p + 2*p - 25. Suppose 1 + a = 2*d. Calculate the remainder when 2390/75 + 2/15 is divided by d.
14
Let x(n) be the first derivative of -4*n**2 - 7*n - 1. Let p be -2*(-3)/(-9) + 8/(-6). What is the remainder when x(p) is divided by 5?
4
Calculate the remainder when 166 is divided by 25190/198 - 2/9.
39
Suppose -1 = 3*g + 2*t + 5, -3*t - 9 = 0. What is the remainder when 1*38 - (g + 4) is divided by 1 + (-1 - 133/(-9)) + 782/3519?
4
Suppose 6 = 3*x - 0. Suppose -146 + 2 = -x*q. Suppose 0 = 508*s - 485*s - 851. What is the remainder when q is divided by s?
35
Let o = -1297 + 1425. Calculate the remainder when 4604 is divided by o.
124
Suppose 3*u - 359 + 131 = 0. Calculate the remainder when 6/(-81) + 24468/81 is divided by u.
74
Let g(l) = l**2 - 3*l + 6. Let t be g(4). Let m = -5 + t. Suppose -255*o = -257*o + 6. What is the remainder when m is divided by o?
2
Let r be (-1)/((-1)/6) + -3. Suppose -4*w = -r*b + 5 + 14, -3*w + 2 = b. What is the remainder when 85 is divided by -1*w/3*87?
27
What is the remainder when 729 + 0/(-1) + (-5973)/543 is divided by 37?
15
Let j be ((-9)/(-4))/(31/(-2232)) - 4. Let s = 158 - j. Calculate the remainder when s is divided by 65.
64
Suppose 3*q + 1140 = 3*x, -3*q = -0*q + 4*x + 1126. What is the remainder when 2/1 - (-138 - -1) is divided by (q/(-81))/(2/12)?
27
What is the remainder when 1948 is divided by (-1168)/(-15) + 4245/(-225) + 19?
76
Suppose -108 = -29*y + 17*y. Calculate the remainder when 1014 is divided by y.
6
Suppose 490 = 10*o - 410. Suppose 5*y = y + 3*q + 122, -o = -3*y + 3*q. What is the remainder when y is divided by 6?
2
Suppose 21*q = 22*q - 17. Suppose 0 = -z - 5*k - q, 0*z - 2*z - 10 = 4*k. What is the remainder when 1 + 0 + (-51)/(-3) is divided by z?
0
Let f be (386/(-4) + -1)*96/36. Calculate the remainder when 32 is divided by -18*(f/120 - 5/(-3)).
5
Let x = -278773 + 278780. Suppose -3*k = -k - 296. Suppose -k = -i - 3*i. Calculate the remainder when i is divided by x.
2
Suppose 3 = 3*h + 15*t - 11*t, -4*t - 27 = -3*h. Let z = h + 40. Calculate the remainder when z is divided by 12.
9
Let v = 95365 + -95352. Suppose 5*i - 58 = -228. Let u = -3 - i. What is the remainder when u is divided by v?
5
Let p(h) be the third derivative of 7*h**5/60 + h**4/8 + h**3/6 - 17*h**2. Calculate the remainder when (68/(-6))/((0 - 1)/3) is divided by p(-1).
4
Let z = 21801 + -21504. Calculate the remainder when z is divided by 183.
114
Let u(h) = h**2 + 5*h - 91. Let j be u(-17). Let b = -