e -2*t = z*m - 3*m - 24, -4*m = 2*t - 50. What is the remainder when 38 is divided by m?
12
Suppose -1875 + 10111 = 4*v. Calculate the remainder when v is divided by 411.
4
Let n(y) = -y**3 - 16*y**2 - 24*y - 33. Suppose 6*w - 308 = -8*w. What is the remainder when n(-15) is divided by w?
14
Let o be 9/(-72) + 13539/24. What is the remainder when 47 is divided by (3 - 2)/(o/(-114) + 5)?
9
Let h(v) = 16*v + 19. Let n be h(-8). Let p = n - -139. Let k(w) = w**3 + 7*w**2 - 10*w - 5. What is the remainder when p is divided by k(-8)?
8
What is the remainder when 3973 is divided by ((-1)/(-2)*1)/((29 + -4)/400)?
5
Let l = 335 - 377. Calculate the remainder when ((-540)/l)/((108/616)/9) is divided by 17.
14
Let k = 4 + -2. Suppose 75 = k*w - 37. Calculate the remainder when 308/w*2*1 is divided by 7.
4
Let o(k) = k**2 + 13*k + 26. Let c be o(-21). Let d = c - 173. Calculate the remainder when 22 is divided by d.
1
Suppose 31206 = 23*t - 14196. Calculate the remainder when t is divided by 152.
150
Let s(p) = 3*p**2 - 43*p - 629. What is the remainder when s(25) is divided by 40?
11
Suppose -26540 + 197750 = 195*d. Calculate the remainder when d is divided by 877.
1
Suppose 3*c - 79 = 293. Let v(d) = d**2 - 7*d - 60. Calculate the remainder when c is divided by v(13).
16
Let r(v) = v**3 + 10*v**2 - 2*v + 55. What is the remainder when r(-9) is divided by 149?
5
Calculate the remainder when 121 is divided by ((-2)/(-14))/((-15)/60) + (-5580)/(-63).
33
Let c = 692 + -591. What is the remainder when c is divided by 57 - 55 - (1 - (11 - -1))?
10
Suppose 0 = -185*x - 47*x + 4237 - 525. Calculate the remainder when 1091 is divided by x.
3
What is the remainder when 1533 is divided by (741/(-30 - -87))/(1/39)?
12
Let f(u) = 27*u - 70. Let q(d) = -d**3 + 3*d**2 - d + 1. What is the remainder when f(3) is divided by q(2)?
2
Let s be (-48)/(-14) + (-12)/(-21). Suppose -3*x = -s*r - 0*r - 48, 0 = 5*x + 5*r - 115. Calculate the remainder when 177 is divided by x.
17
Let x = -570 - -601. What is the remainder when 141 is divided by x?
17
Suppose -7912 = -35*d + 16273. Calculate the remainder when d is divided by 139.
135
Let g(y) be the first derivative of 9*y**2 - 5*y - 1. Suppose -4*l = -5*l + 4*k + 3, 0 = 2*l + 5*k - 6. What is the remainder when g(l) is divided by 13?
10
Let s be (-7 - -2)/(2/202). Calculate the remainder when 142 is divided by s/(-11) - 10/(-110).
4
Let f(z) = 4*z - 24. Let p(l) = -4*l + 1. Let h(c) = f(c) - 10*p(c). What is the remainder when h(4) is divided by 12?
10
Suppose -26*g - 30 = -31*g. Suppose 3 = -4*d + 103. Calculate the remainder when (-188)/g*(1 - 20/8) is divided by d.
22
Let t = -1939 + 2090. What is the remainder when t is divided by 4?
3
Suppose -4*g + 885 = 5*t, 5*g + 738 = 5*t - 147. What is the remainder when 4601 is divided by t?
176
Let p(c) = 3*c**3 - 20*c + 10. Calculate the remainder when 2487 is divided by p(0).
7
Suppose -3*d + 14 = -d. Suppose g - 32 = 5*g. Let v = g - -34. What is the remainder when v is divided by d?
5
Suppose o - 588 = -4*j, 5*j = -4*o + 9*o + 760. Calculate the remainder when 363 is divided by j.
67
Let t = 11800 + -11694. What is the remainder when t is divided by 98?
8
Suppose -2*t = -5*v - 45, t + 2*t - 3*v - 54 = 0. Suppose 12*w = t*w - 378. Let s = w - 55. Calculate the remainder when s is divided by 12.
11
Let w(v) = 1024*v**2 - 41*v - 2. What is the remainder when w(-1) is divided by 15?
13
Let y = 49 - 47. Let t be y/10 + (-3 - 234/(-30)). Suppose f = t*f - 72. Calculate the remainder when 66 is divided by f.
12
Let r = -9500 + 14874. Calculate the remainder when r is divided by 336.
334
Let a(u) = u**2 - 29*u + 214. Let b be a(14). Suppose 16 = -b*k + 148. Calculate the remainder when 63 is divided by k.
30
Let s = -88 + 126. Suppose 2*x + 240 = 7*x. Suppose 2*q + 4*q = x. What is the remainder when s is divided by q?
6
Let x = -56 + 59. Suppose -3*p + 12 = -2*i, -x*i - 2 = 2*p - 23. Suppose -38 = -p*u + 10. What is the remainder when 27 is divided by u?
3
Suppose -3*n = 4*g - 92, -2*g = 110*n - 114*n + 108. What is the remainder when n is divided by 4?
0
Let n(v) = -v**3 + 32*v**2 - 73*v + 19. What is the remainder when n(29) is divided by 6?
5
Let u = 70 - 72. Let o(i) = -i**2 - 6*i - 6. Suppose 0 = q - 3*q + 10. Calculate the remainder when q is divided by o(u).
1
Let y(q) = q**3 - q**2 - 4*q. Let u = -262 + 387. Let i = u - 111. Calculate the remainder when i is divided by y(3).
2
Suppose -9*o = -26 - 1. Suppose 4 = 5*j - o*j. Suppose 0 = -g - 5*b + 10 + 24, b = -j*g + 41. What is the remainder when 31 is divided by g?
12
Let d = 387 - 346. Let z(q) = 7*q - 42. Calculate the remainder when d is divided by z(9).
20
Let q(w) = 102*w**3 - 2*w**2 + 3*w - 4. What is the remainder when 683 is divided by q(1)?
89
Suppose -5*d + 3*w - 18 = -168, -5*d - w = -150. Let v be (-4)/2*(-14 + (-1 - -3)). Suppose -2*f - 8 + v = 0. What is the remainder when d is divided by f?
6
Let k(z) be the third derivative of -z**6/120 - 3*z**5/20 - 7*z**4/8 - 13*z**3/6 - 21*z**2. What is the remainder when 27 is divided by k(-6)?
2
Let h = -18 + 94. Suppose -152 - h = -12*a. Calculate the remainder when 358 is divided by a.
16
Suppose -c = -129*h + 132*h - 393, h + 3*c = 147. What is the remainder when h is divided by 79?
50
Suppose 4*j = -5*w - 162, -w - 4 = j + 28. Let z = 90 - w. Let k = z - 77. What is the remainder when k is divided by 12?
11
Suppose 11*k = -o + 8*k - 250, -1000 = 4*o + 5*k. Let c = -228 - o. Calculate the remainder when 104 is divided by c.
16
Let v(l) = 2*l**2 - 85*l - 306. Calculate the remainder when v(50) is divided by 443.
1
Suppose -l + 62 = 4*y, 2*y + 3*l - 32 = 4. Suppose 3*p - 268 = 5. Let j = p + -32. Calculate the remainder when j is divided by y.
14
Suppose -82*q + 200079 = -13*q + 30*q. Calculate the remainder when q is divided by 22.
19
Let k(l) = -11*l. Suppose -400 = -4*b + 4*a, 5*a - 186 = 3*b - 472. What is the remainder when b is divided by k(-1)?
8
Let d(b) = 4*b**3 - 5*b**2 + 27*b - 131. What is the remainder when d(7) is divided by 17?
12
Let b(w) = w**3 - 19*w**2 - 817*w + 38. What is the remainder when b(40) is divided by 54?
40
Let n(a) = 2*a + 22 - 41 + 45. Let r be n(-12). Suppose r*l = 14 + 12. What is the remainder when l is divided by 6?
1
Let p(x) = 7*x - 120. Let w be p(21). Suppose -w*k = -34*k + 567. Calculate the remainder when k is divided by 28.
25
Suppose 16*f = 20*f. Suppose 5*c + 4*k = 2*k - 38, f = 2*c - 4*k - 4. What is the remainder when 43 is divided by ((-22)/6)/(2/c)?
10
Suppose -41*k + 31 = -36*k - 3*h, -2*h = 5*k - 46. What is the remainder when 458 is divided by k?
2
Suppose 42*a - 39*a = -2*r + 259, -4 = 4*r. What is the remainder when 345 is divided by a?
84
Suppose 1855 = 17*j - 712. Let g = 158 - j. Let a(f) = f**2 - 3. What is the remainder when a(-4) is divided by g?
6
What is the remainder when 521 is divided by 14*(-957)/(-203)*(-6)/(-9)?
37
Let w = 5 + 16. Suppose w*g = -9*g + 1590. What is the remainder when g is divided by 27?
26
Let l(z) = 134*z + 45. Let b be l(-5). Let m = b - -667. Let n(o) = 5*o**3 - o**2 - 1. Calculate the remainder when n(3) is divided by m.
41
Suppose 3*n + u - 212 = 3*u, 5*n - 348 = 2*u. Let z = 515152 - 515023. Calculate the remainder when z is divided by n.
61
Suppose 5*r + 5*m - 115 = 0, 30*r + 10*m - 11*m - 690 = 0. Calculate the remainder when 643 is divided by r.
22
Let z = 47 + -34. Let q = z + -10. Let j(x) = -x**2 - 14*x - 17. What is the remainder when j(-12) is divided by q?
1
Suppose 29 = 5*w + 4. Let f = w + 17. Let d(k) = -k + 34. What is the remainder when 59 is divided by d(f)?
11
Suppose 9*l + 22 - 67 = 0. Let z be (10/l)/(54/50 - 1). Suppose 0 = z*k - 20*k - 715. Calculate the remainder when k is divided by 29.
27
Suppose 3*t - 81*c + 85*c = 988, -5*t = -3*c - 1608. Calculate the remainder when t is divided by 317.
7
Let s be (0 - -3) + 30/(3/(-1)). Let t be ((-31)/93)/(1/(s + 1)). What is the remainder when 54 is divided by (7 - 9/4)/(t/8)?
16
Let z = -2422 + 2483. Calculate the remainder when z is divided by 54.
7
Let s(w) = 154*w + 312. What is the remainder when 1181 is divided by s(-2)?
1
Let c = 76 - 49. Let i(p) = -5*p - 22. Let h be i(-5). What is the remainder when -79*(