 4*x. What is the remainder when z(-1) is divided by x?
10
Let p(r) = r**3 + 24*r**2 - 143*r + 61. What is the remainder when 177 is divided by p(-29)?
0
Let q = 393 + -281. Suppose -q = -5*a + a. What is the remainder when 110 is divided by a?
26
Let a(l) = l + 2. Suppose 0 = 10*u + 2*u - 72. Calculate the remainder when 1/u - (-2 + 101/(-6)) is divided by a(5).
5
Let p(s) = 44*s - 16. Let x be p(6). What is the remainder when (-7)/(-1)*x/28 is divided by 21?
20
Suppose 0 = -36*v + 30*v + 312. Calculate the remainder when v is divided by 20.
12
Let u = 8 - -4. Let p be (-1)/(-2) - (-24)/16. Suppose 22 - 110 = -p*m. Calculate the remainder when m is divided by u.
8
Let i = -880 - -913. What is the remainder when 691 is divided by i?
31
Let q = -30 - -38. Let d(m) = -m**2 + 9*m - 7. Let i be d(7). Suppose -3*h - 5 = i, -h - 19 = -v. Calculate the remainder when v is divided by q.
7
Suppose 17*n = -4*n + 357. What is the remainder when 151 is divided by n?
15
Let q = -155 + 227. Suppose -2*r + 116 = -6*r. Let o = 44 + r. What is the remainder when q is divided by o?
12
Let y(p) = 5*p - 17. Let i be y(5). Let u(l) = i*l**3 + 4 + 7 - 22 + 2*l + 10. What is the remainder when 42 is divided by u(1)?
6
Let x(r) = -4*r + 25. Let z be x(10). Let u(b) = -3*b - 17. What is the remainder when u(z) is divided by 16?
12
Let x(c) be the first derivative of 15*c**2 + 11. Let k be x(3). Suppose -u - 5*u = -k. What is the remainder when u is divided by 8?
7
Let y be (-6)/(-2) - (-33)/3. Let f(r) = 5*r - 14 + y. Calculate the remainder when 29 is divided by f(3).
14
Let x = -281 - -375. Calculate the remainder when x is divided by 24.
22
Let z = -60 - -56. Calculate the remainder when 0 + 465/6 + 2/z is divided by 13.
12
Let k(x) = 98*x**3 + 2*x**2 - 3*x + 1. What is the remainder when 376 is divided by k(1)?
82
Let p be 0/(-15) - (0/1 - 34). Calculate the remainder when (1 + p/(-6))/(12/(-18)) is divided by 5.
2
Let d(w) = -w**2 + 10*w - 1. Let q be 5/(1/1)*2. Suppose -2 = i - q. What is the remainder when 58 is divided by d(i)?
13
Suppose -41 - 7 = 3*h. What is the remainder when 40 is divided by h/120 - (-424)/30?
12
Suppose 3*v + 33 = -c - 0*v, 3*v = -3*c - 123. Let d = 110 - 77. Calculate the remainder when d is divided by -2*2*c/20.
6
Suppose -3*c - 114 = -3*m, 0 = -m - c - 0 + 42. Suppose 3*h = 196 - m. Calculate the remainder when h is divided by 18.
16
Suppose -n = -0 - 4. Suppose -n*l - 6 = -l. What is the remainder when (-56)/(4/l) - -1 is divided by 16?
13
Suppose -55 = -8*c + 3*c. Suppose 4*i - 6 = 2*i. Suppose -29 = -i*v + 67. What is the remainder when v is divided by c?
10
Suppose 9 - 7 = 2*i. Suppose 10 = -l + 2*l. Calculate the remainder when 1/i + 3/((-15)/(-140)) is divided by l.
9
Suppose 3*r - 4*v - 24 = -1, -5*r = -v - 27. Calculate the remainder when 19 is divided by r.
4
Let j = 143 + -113. Calculate the remainder when 209 is divided by j.
29
Let u = -235 + 347. Suppose 5*x - 3*x = u. What is the remainder when x is divided by 10?
6
Suppose -37 = 2*a - 113. Let s(m) = 6*m + 4 + 2 + 12*m**2 + m**3 - 4*m**2. What is the remainder when a is divided by s(-7)?
12
Let g = 13 - 10. Suppose 0 = g*b - 28 - 23. What is the remainder when b is divided by 6?
5
Suppose -232*y - 12 = -235*y. Let x be 0 - (-2 + 2 + -2). What is the remainder when y is divided by -1 + x + (5 - 3)?
1
Let c = 26 + -26. Suppose 2*y + s - 2 + c = 0, -3*s = 4*y. Suppose 0*m + 2 = -3*m - 4*k, -3*m + y*k = -33. Calculate the remainder when 21 is divided by m.
3
Let j be 0*(4 - 3) - 4. Let p be (-1 - j)*(-56)/12. Let r = p + 24. What is the remainder when 57 is divided by r?
7
Suppose -4*r - 2*j = -94, 0 = -4*j + 2*j - 2. Suppose -14 = -n - 5. What is the remainder when r is divided by n?
6
Suppose 56*o - 60*o + 56 = 0. What is the remainder when 671 is divided by o?
13
Let r = 11 - 0. Calculate the remainder when (6/(-4)*16/(-60))/(36/1800) is divided by r.
9
Suppose 0 = 5*c - 15*s + 19*s - 128, -5*c + 124 = 2*s. What is the remainder when 235 is divided by c?
19
Suppose 0 = -4*p + 2*a + 54, -5*a = -4*p + 2*p + 15. What is the remainder when 74 is divided by p?
14
Suppose -5*o + 1129 = 3*a, 1895 = 5*a + o + 4*o. Let p = a + -271. What is the remainder when p is divided by 38?
36
Let v = 49 + -27. Let a = v + 57. Calculate the remainder when a is divided by 16.
15
Suppose 0 = -2*h + 2, -3*h - 20 = -u + 101. Suppose -4*d + 125 = a, -5*d - 20 + 195 = -5*a. What is the remainder when u is divided by d?
28
Suppose 8*p - 300 = -140. Suppose -3*d + d + 12 = 0. Calculate the remainder when p is divided by d.
2
Let l = 1766 + -1748. What is the remainder when l is divided by 17?
1
Let w(c) = c**2 - 21*c + 12. Let h(x) = -2*x**2 + 40*x - 24. Let m(b) = -6*h(b) - 11*w(b). What is the remainder when 42 is divided by m(8)?
2
Let u = -253 - -267. What is the remainder when 68 is divided by u?
12
Suppose 2*g = 7*g - 45. Suppose -4*h - 210 = -g*h. Suppose -3*w + 5*t + 11 = 3, 3*w - 3*t - 18 = 0. Calculate the remainder when h is divided by w.
9
Let c = 10 + -6. Suppose 4*q = -c*w + 56, 2*q - 5*w = -q + 58. Suppose 5*j + 5 = 0, 0 = 2*m + j - 3*j - 60. What is the remainder when m is divided by q?
13
Let f = 58 + -7. Suppose -5*w + 0*g = -g - f, -19 = -2*w - g. Suppose 42 = n + 5*o, 0 = n - o + 2*o - 22. What is the remainder when n is divided by w?
7
Let c(s) = -11*s**3 + 4*s**2 + 5*s + 1. Calculate the remainder when 239 is divided by c(-1).
8
Suppose 0 = 14*b - 8*b - 186. What is the remainder when 464 is divided by b?
30
Let i = 68 + -19. Let u(g) = -5*g - 1. Let j be u(-1). Suppose -w + 57 = j*p, 2*p + 334 = 5*w + i. What is the remainder when w is divided by 20?
17
Let s = 41 - 19. Suppose 10 = -4*t + 6*t. Suppose -t*u = -v - 436, u + v + 0*v = 86. Calculate the remainder when u is divided by s.
21
Let j = -40 + 54. Calculate the remainder when 4 - 1 - 1 - (40 + -76) is divided by j.
10
Suppose 2*i = -0*i. Suppose 0*q + q - 5 = i. Suppose 31*b = -15*b - 37*b + 1162. Calculate the remainder when b is divided by q.
4
Suppose -f - 2*g - 3*g = -275, -3*f + 873 = 3*g. Calculate the remainder when f is divided by 33.
31
Calculate the remainder when ((-4)/(-3))/(4676/777 + -6) is divided by 21.
11
Suppose 0*b = 7*b - 14. Let k be (-2 - -1) + 13 + -3. Let o = k + -5. What is the remainder when o is divided by b?
0
Suppose 40*u + 2 = 41*u. Let b = 9 - u. What is the remainder when b is divided by 2?
1
Let u = 312 - 289. Calculate the remainder when u is divided by 11.
1
Suppose -158 + 26 = -6*b. Calculate the remainder when 86 is divided by b.
20
Let a(h) = 13*h**2 + 2*h - 3. Let v be a(1). Let y = 40 - v. What is the remainder when y is divided by 11?
6
Let k(j) = j**2 + 30*j - 51. What is the remainder when 49 is divided by k(-32)?
10
Suppose 0 = -6*o + 10*o - 40. Let u = 13 - 42. Let g = u + 47. Calculate the remainder when g is divided by o.
8
Let q = -67 + 166. Suppose 3 + q = 3*s. Suppose -4*h + 35 = 5*f - 9*h, -f - 3*h + 27 = 0. Calculate the remainder when s is divided by f.
10
Let p(m) = 2*m**3 - 2*m**2 - m + 1. Let i be p(2). Let r(y) = -y + 14. Calculate the remainder when -4 + i/(21/54) is divided by r(9).
4
Suppose -3*o - 2*s - 15 = 0, 6*o - 4*o + 20 = 2*s. Let j(n) = n**3 + 7*n**2 + n + 17. Calculate the remainder when 37 is divided by j(o).
7
Suppose 0 = 3*j + 2*j + 5*n - 120, -j - 4*n = -33. Suppose 4*w - 5*o - 239 = -0*w, -w + 59 = -2*o. Calculate the remainder when w is divided by j.
19
Let p(h) be the second derivative of h**5/20 + h**4/4 + 3*h**2/2 + 15*h. What is the remainder when (1 - (2 - 1)) + 5 is divided by p(-3)?
2
Let a be 125 - -3 - (0 + 0). Suppose -2*r + 198 = -a. Suppose -46 + r = 3*l + j, 3*l - 117 = 3*j. Calculate the remainder when l is divided by 10.
9
Calculate the remainder when (-21)/(519/(-102) - (-5 - 0)) is divided by 72.
22
Suppose g + 24 = -3*g + b, -3*b = 0. Let p = g - -12. Calculate the remainder when -3 - ((-4)/(-12))/(6/(-468)) is divided by p.
5
Let n = -133 - -164. What is the remainder when n is divided by 4?
3
Suppose 5 = 3*v - 7. Suppose -l + 3*u = -16, -3*l + v*u + 30 = -l. What is the remainder when (-1)/2*2 - -52 is divided by l?
12
What is the remainder when (-678)/24*-2*(11 + -3) is divided by 38?
34
Let u(x) be the third derivative 