 - 2 = -0*q. Suppose 5*p = k, 5*j - 128 = -2*p + 82. Calculate the remainder when 123 is divided by j.
39
Suppose 3*z = -6*l + 3*l + 12, l - 4*z = 4. Let f(u) = -2*u**3 - u**2 + u - 86. Let x be f(0). Let p = 94 + x. Calculate the remainder when p is divided by l.
0
Suppose 4*v = 19*v + 90. What is the remainder when 1*(v/(-4) - 74/(-4)) is divided by 8?
4
Suppose 0 = -3*c - v - 48 + 310, 4*c + 3*v - 351 = 0. Calculate the remainder when c is divided by 10.
7
Let x(n) = 2*n**2 + 21*n + 37. What is the remainder when 127 is divided by x(-2)?
1
Let a = -8 + 12. Suppose a*z = -z + 60. Let g = z + 22. What is the remainder when g is divided by 18?
16
Let z(d) = -11*d - 14 - d**2 + 17 - d. Let f be z(-12). Suppose f*y + y - 14 = b, -3*b = -3*y + 15. Calculate the remainder when 3 is divided by y.
0
Suppose 5*y - 93 = -3*p, 0*p + p = -4. What is the remainder when 55 is divided by -3 + y + (4 - 8)?
13
Let c = 16 - 12. Let h(o) = -14*o - 71. Let b(q) = 5*q + 24. Let z(g) = -17*b(g) - 6*h(g). Calculate the remainder when z(6) is divided by c.
0
Let z(m) = -m**2 - 6*m + 10. Let s be z(-6). Let p = s + 6. What is the remainder when p is divided by 9?
7
Let m = 13 - -2. Suppose -5*s + 6 = -49. Suppose s*c = 51 + 433. Calculate the remainder when c is divided by m.
14
Let n = 81 - 38. Suppose -118 = -5*s + 17. Let o = n - s. What is the remainder when 77 is divided by o?
13
Let n = -14 - -17. Let x be n/(-4 - 19/(-4)). Suppose o + 2*o + v = 133, -217 = -5*o - x*v. What is the remainder when o is divided by 12?
9
Let i = 451 + -134. Calculate the remainder when i is divided by 80.
77
Let f = 10 - -23. Calculate the remainder when 27/(-3)*((-1950)/18)/5 is divided by f.
30
Suppose -85 - 275 = -3*f + 3*p, -372 = -3*f - p. Calculate the remainder when f is divided by 63.
60
Suppose 5*f - 118 = -g + 2*f, 4*g - 5*f = 438. Calculate the remainder when g is divided by 23.
20
Let a = 46 + 1. Let j = 79 - a. Let b = j + 0. What is the remainder when 95 is divided by b?
31
Suppose -940 = -5*q - g, -3*q - 4*g = g - 542. Calculate the remainder when q is divided by 48.
45
Let s = 181 + -31. Suppose -6*j + s = -0*j. Suppose -4*f + 3*w = -390, 106 = 2*f - w - 90. Calculate the remainder when f is divided by j.
24
Let g = -57 + 94. Suppose 2*h + 104 = 5*b + 7, -2*h - 2 = 0. What is the remainder when g is divided by b?
18
Suppose 3*v = -4*o + 21 + 25, -2*o = -5*v + 68. Calculate the remainder when 34 is divided by v.
6
Suppose k + 151 = 3*p - k, 3*k = -5*p + 220. Calculate the remainder when p is divided by 24.
23
Let g be (-652)/(-20) - -3 - 8/(-20). Suppose -4*n + 0*n = -g. What is the remainder when 62 is divided by n?
8
Let x = 25 + -16. Let f(l) = 7*l**2 - l**3 + 2 + 2*l - 2*l**2 - l**2 + 3*l. Calculate the remainder when x is divided by f(5).
1
Let u(t) = t**2 - 39*t + 216. What is the remainder when u(34) is divided by 12?
10
Suppose 45*b - 1825 = 7805. Calculate the remainder when b is divided by 101.
12
Let i(g) = -g**2 + 20*g + 95. What is the remainder when 196 is divided by i(22)?
43
Let n = 459 - 441. Calculate the remainder when 75 is divided by n.
3
Suppose -49 = 2*f - 3*f. Suppose -5*i + 200 = -i. Suppose -i = -y - y. Calculate the remainder when f is divided by y.
24
Let p = 63 + -33. Let x = p + -12. What is the remainder when x is divided by 9?
0
Calculate the remainder when 289 is divided by ((-32)/24)/(2/6) - -53.
44
Let j(q) be the first derivative of q**4/2 + q**3 - q**2/2 - 3*q - 2. Let t be j(-3). Let z = t - -33. Calculate the remainder when z is divided by 4.
2
Let h = -4 - -11. Suppose -x + 2*x = 0. Suppose -d + x*d + h = 0. What is the remainder when 9 is divided by d?
2
Suppose -13*x + 314 = -1363. What is the remainder when x is divided by 19?
15
Suppose -92*f - 3*c + 900 = -89*f, f - 308 = -5*c. Calculate the remainder when f is divided by 23.
22
Let m(z) = 4*z**2 - 3*z + 2. Let x(h) = 13*h**2 + h + 8. Let l be x(10). Suppose 0 = -10*t + l - 178. What is the remainder when t is divided by m(3)?
27
Let n(g) = 3*g**3 - 17*g**2 + 4*g - 10. Calculate the remainder when 65 is divided by n(6).
15
Suppose 2*m = 6*m - 108. Let y = 75 + -68. What is the remainder when m is divided by y?
6
Let l = 361 + -331. Calculate the remainder when l is divided by 4.
2
Let d be -1*1*(1 + -4). Suppose -f - d + 10 = 0. What is the remainder when (-69)/(-4) - 406/(-232) is divided by f?
5
Let r(o) = -3*o + 6. Let k be r(1). Let f(v) be the second derivative of v**3/6 + 3*v**2 + 2*v. What is the remainder when f(k) is divided by 6?
3
Suppose 364*z - 385*z = -6720. What is the remainder when z is divided by 30?
20
Suppose 4*v = a - 9, 3*a + 3*v + 3 = -0*a. Suppose 2*z = 0, 9*f + 5*z = 7*f + 16. What is the remainder when f is divided by a?
0
Let l(v) = 14*v**3 + v**2 + 4*v + 7. Let h be l(-2). Let j = h + 114. What is the remainder when 18 is divided by j?
3
Suppose -5*j + 0*j = -15. Suppose -74 = -5*b - j*x + 10, -x + 70 = 4*b. What is the remainder when 89 is divided by b?
17
Suppose o = -r + 17, 26*o + 2*r = 30*o - 74. Calculate the remainder when 63 is divided by o.
9
Suppose 2*x + 3500 = 102*x. Suppose g + 0*g = -3*r, 2*g + 3*r = 12. Calculate the remainder when x is divided by g.
11
Let m = 42 - 21. Calculate the remainder when 645/m - (-2)/7 is divided by (-4)/(-6) - (150/(-18) + 1).
7
Let u = -1 - -4. What is the remainder when (2/6)/(1/147) is divided by 14 + (1 - (u + -1))?
10
Suppose -2*f = 5*v + 22, 4*f + 6 = 2*f - v. Let r be (3 + f)/((-4)/86). Let t = r - -68. Calculate the remainder when 72 is divided by t.
22
Suppose 0*u - 20 = -u. Let v be 5/(5/22) - (6 + -4). Calculate the remainder when -8*(0 - -1 - 155/v) is divided by u.
14
Let u = -117 + 211. Calculate the remainder when u is divided by 21.
10
Suppose -3*j = -2*v - 424, 14*j - 11*j = -3*v + 399. Let o(r) = -r**3 + 11*r**2 + r + 9. What is the remainder when j is divided by o(11)?
18
Suppose 0*t = t + t. Let h(n) = -n**2 - 2*n + 14. What is the remainder when 23 is divided by h(t)?
9
Let o(m) = -9*m + 8. Suppose 7 = -2*w - l, 4*w = -5*l + l - 12. Calculate the remainder when o(w) is divided by 24.
20
Suppose -w + 35 = 2*b, 0 = 30*w - 33*w - b + 125. Let s(x) = 3*x**2 - 3*x - 6. Calculate the remainder when s(-5) is divided by w.
41
Suppose 4*w = -8*w + 84. What is the remainder when 25 is divided by w?
4
Calculate the remainder when 1078 is divided by ((-2241)/(-6))/(-9)*(-3 + 1).
82
Let z(n) = 17*n**3 + 3*n**2 - n + 4. What is the remainder when z(2) is divided by 38?
36
What is the remainder when 112 is divided by 12 + -14 + (-72)/(-2)?
10
Suppose 2*h = -4*w + 3 - 1, 17 = -w - 4*h. Suppose x = -w*x + 604. Let s(q) = -2*q + 26. What is the remainder when x is divided by s(-6)?
37
What is the remainder when 1365/3 + 0*2/(-6) is divided by 12?
11
Suppose -98*r = -102*r + 404. Calculate the remainder when r is divided by 17.
16
Let n be (6*6/(-21))/(2/14). Calculate the remainder when 154 is divided by 5*(n/30 + 3).
11
Let g(r) = r**3 + 5*r**2 + 4*r + 14. Let m be g(-4). Suppose 4*o = -m + 158. What is the remainder when o is divided by 19?
17
Let p(c) = 20*c**2 + 2. Suppose 2*l + 0*f + 2*f = 6, -2*l - 10 = -2*f. Calculate the remainder when p(l) is divided by 12.
10
Let k(c) = -c**2 - 4*c + 35. Suppose -11 = -3*s + 16. Calculate the remainder when k(-6) is divided by s.
5
Suppose -m = -2*q - 5 - 0, 4*m - 2 = 2*q. Let h = 2 + m. Let x(v) = -3*v + 22. Calculate the remainder when x(7) is divided by h.
0
Let m be -402*(-2)/(-1 + 7). Let v = m - 93. Calculate the remainder when v is divided by 23.
18
Suppose 32*k - 4*k - 140 = 0. Calculate the remainder when 46 is divided by k.
1
Suppose -18 = -3*z + 3*x, 5*z + 104*x - 12 = 100*x. Calculate the remainder when 56 is divided by z.
0
Let x be 6/4*(-20)/10. Let o be (x + -3 + 2)/(-1). What is the remainder when o/(5/(-255)*-6) is divided by 12?
10
What is the remainder when 28/(49/(-7))*-42 is divided by 59?
50
Suppose -3*h + 379 = h - l, -4*l = 4*h - 384. What is the remainder when h is divided by 14?
11
Let q(o) be the third derivative of -17*o**6/30 + o**5/60 - o**3/6 - 2*o**2. Let z = -6 - -5. What is the remainder when q(z) is divided by 23?
22
Let x(b) be the third derivative of b**4/12 - 7*b**3/6 + 6*b**2. Let y be x(7). Suppose -112 = 3*u -