) is divided by 71.
69
Let q(m) = -m**3 + 20*m**2 + 70*m - 15. Let r be q(23). Suppose -242 = -r*t - 146. Calculate the remainder when 18 is divided by t.
6
Calculate the remainder when 821 is divided by 257 - (0 + 27/(-30) + 1)*10.
53
Suppose 2*b = 5*v + 79, 5*v - 81 = -b - 2*b. Suppose -b = 10*u - 26*u. What is the remainder when 6 is divided by u?
0
Suppose 102*t = -138277 + 378079. Calculate the remainder when t is divided by 15.
11
What is the remainder when ((-38)/5)/((2/(-10)*5)/185) is divided by 163?
102
Suppose -83*j - 4*c + 3837 = -80*j, 4*j - 5088 = 4*c. What is the remainder when j is divided by 58?
57
Suppose 15*y - 472 + 172 = 0. Let r(z) = -z**2 + 7*z - 5. Let q be r(5). Let a = q + 31. Calculate the remainder when a is divided by y.
16
Let i(s) = -s**3 + 2*s + 5. Let o be i(-2). Let q = o + 135. Let u = q - 127. What is the remainder when 60 is divided by u?
9
Let z = 3031 - 2969. Calculate the remainder when 384 is divided by z.
12
Calculate the remainder when 150 is divided by (8 + -23)*4/((-36)/69).
35
Let n be (9 - 5 - 5)*-3. Suppose -7*d = -n*d - 80. What is the remainder when 32 + -1*(1 + -3) is divided by d?
14
Suppose 35*w = 99*w - 256. Let q = 20 + -1. Calculate the remainder when q is divided by w.
3
Let p(a) = -48*a + 26. Let m(s) = 6*s - 27. Let t be m(4). Calculate the remainder when p(t) is divided by 35.
30
Suppose 218 = 2*o + y, -5*o = 3*y - 599 + 56. Calculate the remainder when o is divided by 26.
7
Suppose -19 = -8*m + 5. Suppose -5*j + 57 = -2*j - m*f, 3*j - 2*f = 52. Suppose j*b = 9*b + 45. Calculate the remainder when 17 is divided by b.
8
Let d = 382 - 362. Suppose -4*c = o - 10, 5*c + o - 6 - 6 = 0. Suppose 5*f + 138 - 638 = 4*x, -470 = -5*f - c*x. What is the remainder when f is divided by d?
16
Let y be 122/5 - (-6)/(-15). Suppose 94 = 3*o - 0*o + u, -o = 4*u - y. What is the remainder when 123 is divided by o?
27
Let a(h) = 9*h - 20. Let m be a(5). Suppose 0 = 4*z + m - 89. Suppose u + 5*q = 31, -5*u + q + z = -35. What is the remainder when u is divided by 8?
3
Suppose f + 88 = 2*j, -4*j + 9*f - 14*f = -176. Calculate the remainder when 921 is divided by j.
41
Let m(l) = -l + 5*l - 2*l - 7. Let j(z) = -10*z - 295. Let c be j(-31). What is the remainder when 90 is divided by m(c)?
21
Suppose 0 = a - 3*b + 342 - 1884, 0 = -3*a + 3*b + 4668. Calculate the remainder when a is divided by 54.
51
Calculate the remainder when 1580/(-1738) - (-18345)/33 is divided by 20.
15
Let v(f) = 527*f - 112 - 60 + 513*f - 963*f. What is the remainder when v(4) is divided by 28?
24
Let y(f) = -f**3 - f**2 + 5*f + 1. Suppose -4*u = -u + 12. What is the remainder when (-18)/(-27)*-3 + 59 is divided by y(u)?
28
Suppose 0 = -3*k - 5*r + 155 + 437, -198 = -k - 2*r. What is the remainder when k is divided by 10/(-15)*198/(-4)?
29
Suppose 111*t = 109*t - 5*g + 2081, -3*g - 2057 = -2*t. Calculate the remainder when t is divided by 8.
1
Suppose -3*j + 35 - 8 = 0. Suppose j = -x + 107. What is the remainder when x is divided by (-1)/2*(-71 + 3)?
30
Let g(j) = 64*j + 1289. What is the remainder when g(-4) is divided by 132?
109
Let w(n) = -n**3 - 2*n**2 - 4*n - 4. Let u(l) be the first derivative of -l**2 + 17*l - 15. Let p be u(10). Calculate the remainder when 33 is divided by w(p).
16
Let u(s) = 5*s**2 + 4. Suppose 5*l - 16 = 3*t, 4*t - 16 - 1 = -l. Let y(g) = g**3 - 5*g**2 + 5*g - 8. Calculate the remainder when u(3) is divided by y(l).
15
Suppose 0 = -11208*o + 11231*o - 1127. Calculate the remainder when 149 is divided by o.
2
Let z(w) = -21*w - 1. What is the remainder when z(-6) is divided by 57/(-190) - (-1647)/90?
17
What is the remainder when 778/2 + 36/(-6) is divided by 48?
47
Let i(p) = 2*p**3 + 240*p**2 - 286*p - 326. What is the remainder when i(-121) is divided by 143?
136
Let s = 3734 + -3720. Calculate the remainder when 171 is divided by s.
3
Let g(m) = m**2 + 6*m + 3. Let n be g(-5). Let y(f) = -3*f**3 - f + 2. Suppose 7 = -28*x + 175. Calculate the remainder when y(n) is divided by x.
4
Suppose -164*i - 13079 + 74907 = 0. What is the remainder when i is divided by 44?
25
Let n = -328 - -231. Let y = 138 + n. Calculate the remainder when 162 is divided by y.
39
Suppose -3*n + 137 = 2*z, 5*z = -0*z - 2*n + 359. Let m = -44 + z. Calculate the remainder when 57 is divided by m.
28
Let r(j) = -131*j - 13. Let u be r(-7). Let c = -158 + 225. Calculate the remainder when c is divided by u/40 - 4/(-10).
21
Suppose -c + 463 = 3*v - 5*c, 0 = v + 5*c - 129. Suppose -u + 7*x = 2*x - 10, -u - 4*x = -37. What is the remainder when v is divided by u?
24
Let u(z) = z**3 + 4*z**2 + 4*z + 4. Let f be u(-2). Suppose -l + 4*h = 2*l - 934, -f*l + 1248 = -4*h. Calculate the remainder when l is divided by 63.
62
Calculate the remainder when 4460 is divided by 10/(-4)*(-215864)/1210.
0
Let k be -11*6*(276/(-8) - -35). Suppose l + 2*l = 231. Let c = k + l. Calculate the remainder when 87 is divided by c.
43
Suppose -571*c + 52 = -558*c. What is the remainder when 267 is divided by 0 + (33 - -5 - (0 + c))?
29
Let h(d) = 18*d + 19. Let a be h(-25). Let f = a + 573. What is the remainder when f is divided by 72?
70
Suppose 4*g - 80 = -5*v, g = v - g - 2. Suppose 0*q - 5*q = 10. Let h = q + 23. Calculate the remainder when h is divided by v.
9
Let t(q) = -130*q - 95. Suppose p = 11 + 31. What is the remainder when t(-2) is divided by p?
39
Suppose -214 = -3*b + 5*u, 2*b = -2092*u + 2097*u + 156. What is the remainder when 3813 is divided by b?
43
Let k(d) be the second derivative of 11*d**3/6 + 7*d**2 - 34*d. What is the remainder when k(5) is divided by 14?
13
Suppose 0 = 6*j - 10*j + 3712. Let l = 1303 - j. Suppose -144 = -2*s - 0*s + 2*n, 2*n + l = 5*s. What is the remainder when s is divided by 10?
7
Let z = -249 - -251. Calculate the remainder when 65 is divided by ((-12)/6)/z*-11.
10
Let y = 14304 - 14297. Suppose 3*l - 6*l = -18. Calculate the remainder when 117/(-6)*(-4)/l is divided by y.
6
Let m = 508 + -495. Calculate the remainder when 674 is divided by m.
11
Let b(q) = 2*q + 20. Let d be b(-6). Suppose -3*o = 9, -r + 2*o + 4 = -d. Let u(g) = 8*g**2 - 3*g + 9. Calculate the remainder when u(2) is divided by r.
5
Let i be (-1 + -2)*141*(-94)/18. Suppose -2*o = u - 284, -729 = 5*u - 5*o - i. What is the remainder when u is divided by 75?
67
Let s(r) = 16*r**2 + 55*r + 67. What is the remainder when s(-11) is divided by 36?
30
Let b = 710 + -455. Let y = -152 + b. Suppose y*z - 130 = 102*z. Calculate the remainder when z is divided by 33.
31
Let h(i) = i**2 + 29*i - 446. Let t = -46 + 52. Calculate the remainder when h(12) is divided by t.
4
Suppose -2*f = 2*z + 3 - 59, 38 = z - 4*f. Let n be 555/z*(2 - -1*2). Suppose 3*k - 235 = n. Calculate the remainder when k is divided by 35.
33
Suppose -l = l + d - 1554, 2*d = 5*l - 3912. Calculate the remainder when l is divided by 21.
3
Let n = 129 + -68. Let x(k) = 230*k + 3. Let f be x(1). Suppose 6*o - f = -41. Calculate the remainder when n is divided by o.
29
Let f = -90 - -94. Let q be f - ((70 - 2)/2 + -3). Let v = -2 - q. Calculate the remainder when v is divided by 13.
12
Suppose 0 = -11*q + 8*q + 6, -2*q = 5*k - 179. What is the remainder when 456 is divided by k?
1
Let h(z) = -z**3 - 6*z**2 - 5*z - 2. Let y(u) = 175*u**2 - 9*u + 1. What is the remainder when y(1) is divided by h(-6)?
27
Let o(m) = -5*m - 23. Let n = 36 + -42. Suppose 3*x + 12 = 0, 4*b = -x + 54 + 30. What is the remainder when b is divided by o(n)?
1
Let q be -91 + -5 + 5 - -2. Let s = 107 + q. Suppose 2*c - 30 = -c. Calculate the remainder when s is divided by c.
8
Let t be ((-4)/8)/(2/(-192)). Suppose 3*c = 5*f + 138, f - 16 = 5*c - t. What is the remainder when (-385)/(-9) + (-6)/f is divided by 11?
10
Suppose -4*z = -3*j + z + 509, -5*z = 4*j - 702. Suppose -4*x - 34*x = -1672. What is the remainder when j is divided by x?
41
Suppose 192 - 4137 = -161*r - 102*r. What is the remainder when 2362 is divided by r?
7
Suppose -222 = -5*w + 18. What is the remainder when w is divided by ((-4 + 3)/(1/7))/(35/(-50))?
8
Let o = 2825 - 2797. What is the remainder when 584 is divided by o?
24
Let n(s) = s**3 + 3*s**2 - 8*s - 5. Let t be n(-5). Let z = 53 + t. Let v = -19 + z. What is the remainder when v is divid