et s = -15256 + 15281. What is the remainder when 1124 is divided by s?
24
Suppose 2*w = 27*w - 474 + 224. What is the remainder when 238 is divided by w?
8
Suppose -3*t + 8 = -2*b, -4*b + 8 = t - 2*b. What is the remainder when (38/(-3))/(46/(-207)) is divided by t/6*(-135)/(-6)?
12
Let c = -29 + 54. Let y(t) = t**3 - 14*t**2 + 5*t + 4. Let o be y(14). What is the remainder when -32 + 30 + (-1)/((-1)/o) is divided by c?
22
Suppose 24 = 2*u - 34. Suppose 15*w - 21*w - 24 = 0. Let z(f) = -26*f - 20. Calculate the remainder when z(w) is divided by u.
26
What is the remainder when 3953 is divided by 20/(-70)*(-1470)/12?
33
Let r = 87 - 84. Suppose z - 30 = r*z. Let n(d) = 2*d + 35. Calculate the remainder when n(z) is divided by 5.
0
Let w be (3 + 0 + -3)/(-1). Suppose w = -7*b + 3*b + 2*j + 82, 4*j - 25 = -b. Calculate the remainder when (4 + ((-308)/8)/(-7))*(-288)/(-48) is divided by b.
15
Let k(d) = 298*d + 2260. What is the remainder when k(-7) is divided by 7?
6
Let p(x) = -115*x**3 + 466*x**2 - 7*x + 10. Let u = 36 + -8. What is the remainder when p(4) is divided by u?
22
Let p be (9/27)/((-2)/(9*4)). Let k(a) = -3*a**3 - 5*a**2 + 17*a + 5. What is the remainder when k(p) is divided by 34?
31
Suppose -2*g - 4 = 0, 148 = 3*w + g + 39. Suppose f - i - w = -f, -47 = -2*f + 3*i. Calculate the remainder when (-6)/(-15) + 388/5 is divided by f.
14
Let l = 22 + -18. Calculate the remainder when (4 + -3)*(11 - l) is divided by 6.
1
Suppose -3*q + 17653 = 3*o + 2206, -4*o = q - 5167. Calculate the remainder when q is divided by 105.
103
Let j(u) = 35*u**3 - 2*u**2 + 5*u - 4. Let k = 234 - -134. What is the remainder when k is divided by j(1)?
28
Suppose 809 = -4*v - 3*q, 5*v + 0*v - 5*q = -1055. Let l = 246 + v. What is the remainder when 152 is divided by l?
32
Let t(f) = -15*f**3 - 32*f**2 - 6*f - 2. What is the remainder when 1493 is divided by t(-2)?
1
Let r = -4336 - -4676. Calculate the remainder when r is divided by 165.
10
Let d be (-10480)/150 + (-4)/30. Let b be 1/2*d/(-7). Suppose 2*y + n = 46, y + 5*n + b = 28. What is the remainder when 89 is divided by y?
20
Let x(b) = -2*b**3 - 5*b**2 - 5*b + 4. Suppose -w = 20 + 3. Let o = 2 - w. Calculate the remainder when x(-4) is divided by o.
22
Let i be -1 + (-5)/(1 + -2). Let r(d) = 31*d - 6. Let q(h) = 5*h**2 - 158*h - 312. What is the remainder when r(i) is divided by q(-2)?
22
Let d(h) = -3*h**2 - 90*h - 116. What is the remainder when d(-25) is divided by 44?
39
Suppose 11*a - 762 + 234 = 0. Suppose 5*r - 5*q - 65 - 20 = 0, -3*r + 2*q = -a. Let f = 80 + -56. What is the remainder when f is divided by r?
10
Let s = 2127 + 9803. What is the remainder when s is divided by 38?
36
Suppose 0 = t + 2*t - 33. Let k(l) = -5*l - 19. Let a be k(28). Let x = a + 200. What is the remainder when x is divided by t?
8
Suppose 2*r + 409 - 133 = 0. Suppose -399*c + 444*c - 12240 = 0. Let z = r + c. What is the remainder when z is divided by 17?
15
Let n be (-30)/(-8) + 18/(-24). What is the remainder when ((-858)/52)/(n/(-4)) is divided by 13?
9
Let l(n) = 2*n + 36. Let b be l(-16). Suppose b*z - z = 93. What is the remainder when z is divided by 10?
1
Let g = 9991 + -8862. What is the remainder when g is divided by 42?
37
Suppose 8*p - 1350 - 74 = 0. Let s(h) = -3*h + h + 4*h**2 + 22 + 23 - 5*h**2. Calculate the remainder when p is divided by s(0).
43
Suppose 18*p - 773 = p - 3*c, -3*p = -3*c - 147. What is the remainder when 180 is divided by p?
42
Let t(r) = 2*r**3 - 2*r**2 + r. Let o be t(1). Let x(z) = o + 2*z + 8 - z**2 - 14*z. What is the remainder when 175 is divided by x(-7)?
43
Let t = -11 - -4. What is the remainder when (-15)/(-4) - t/28 is divided by ((-3)/2)/(9/(-12))?
0
Let m(i) be the first derivative of 16*i**2 - 198*i - 22. Calculate the remainder when 231 is divided by m(7).
23
Let t = 16214 + -15157. Calculate the remainder when t is divided by 117.
4
Let c = 14204 - 12574. Calculate the remainder when c is divided by 232.
6
Let t(v) be the first derivative of 1/4*v**4 - 6*v - 23 - 9/2*v**2 + 1/3*v**3. Calculate the remainder when 4 is divided by t(-3).
1
Suppose 0 = a, 3*f - 6*f - 4*a + 210 = 0. Suppose -20 = -9*t + f. Let r = -2 + 3. What is the remainder when t is divided by r?
0
Suppose p = 4*u - 93, 81 = 4*u - 5*p - 16. Suppose -2*b = -g + 38, 3*g = -b - b - 54. Calculate the remainder when u is divided by (6*9/b)/(6/(-28)).
11
Let w = 5277 + -5244. Calculate the remainder when 5608 is divided by w.
31
Calculate the remainder when 3700 is divided by (11/11)/(1 + 48/(-56)).
4
Let z = 8478 + -8453. Calculate the remainder when 1212 is divided by z.
12
Suppose -3*u = 5*i - 474, 3*u + 36*i = 38*i + 453. What is the remainder when u is divided by 6?
3
Suppose 1453 - 5240 = -f - 4*o, -2*f - 3*o + 7554 = 0. What is the remainder when f is divided by 538?
5
Let p = -4187 - -4240. Let w(d) = 24*d**2 + 2*d - 2. What is the remainder when w(2) is divided by p?
45
Let z = 735 - 501. Let t = z + -206. What is the remainder when 54 is divided by t?
26
Suppose 0 = 2*f - 160 + 172. What is the remainder when 5042/26 - f/78 is divided by 33?
29
Suppose 3*o + 2*o - 120 = 0. What is the remainder when o is divided by (41/(-12) - -4)/(10/120)?
3
Let p be (0 + -44)*(-8 + 68/8). What is the remainder when (3 - 1) + -3 + 18 is divided by 9/27 + p*(-3)/18?
1
Let p(n) = n**3 - 8*n**2 - n + 13. Let b be p(8). Suppose b*k - 134 = -24. What is the remainder when (2/(-2)*107)/(-1) is divided by k?
19
Let q(a) = 13*a + 88. Let x(j) = -1. Let m(y) = -q(y) - 5*x(y). What is the remainder when 55 is divided by m(-8)?
13
Suppose 11061 = 36*k - 93159. Calculate the remainder when 8696 is divided by k.
11
Suppose 192 = 2*x + 664. Let y be (-21)/35 + x/(-10). Suppose -52 - y = -3*z. What is the remainder when 146 is divided by z?
21
Let i = -108 + 112. Calculate the remainder when 18 is divided by 9*i/(3 - -9).
0
Let j(g) = g**2 - 9*g + 9. Let u(z) = 10*z**2 - 3*z + 3. Let x be -1 - 2 - (-4 + -3 + 3). Let s be u(x). Calculate the remainder when j(s) is divided by 10.
9
Let w = -19 - -23. Suppose -w*s = s - 180. Calculate the remainder when 430 is divided by s.
34
Suppose -210*x = -215*x + 1015. Let n = -192 + x. Calculate the remainder when 130 is divided by n.
9
Suppose -4*m + 225 = h, -4*m - 4 = -5*m. Suppose v + 2*c = 45, -5*v - 2*c = -0*v - h. Calculate the remainder when 116 is divided by v.
34
Suppose -3*s - 5*r + 1245 - 191 = 0, r - 1070 = -3*s. Calculate the remainder when s is divided by 74.
62
Suppose 0 = -22*v + 1979 - 21. What is the remainder when 4105 is divided by v?
11
Calculate the remainder when (-344)/10*(-5)/2 is divided by (-30)/(-18) + (-168)/(-126) + (-1 - -23).
11
Let i be (-90)/315 + (0 - (-774)/14). Suppose -50*z - 270 = -i*z. Calculate the remainder when 485 is divided by z.
53
Suppose 3*f + k = f + 134, 4*k = -4*f + 276. What is the remainder when 2338 is divided by f?
63
Let p = 3877 + -3097. Calculate the remainder when p is divided by 100.
80
Suppose 81 = -3*t + 3*m, t + 3*t + 114 = m. Let i be 8 - (-4)/8*64. Let z = t + i. Calculate the remainder when 31 is divided by z.
9
Suppose c - 9 = -2*c. Suppose 11*i - c = 8. Calculate the remainder when 21 is divided by 12 + (-12)/3 + (4 - i).
10
Let h = 154 - -274. Calculate the remainder when h is divided by 117.
77
Suppose 2*h = -8*p + 13*p - 1088, 4*p + 3*h = 898. What is the remainder when p is divided by 65?
25
Suppose -5*c + 17 = 3*h + h, -4*h - 8 = 0. Suppose -2*w + 7*w = 3*u - 65, 3*w = c*u - 87. Calculate the remainder when 25 is divided by u.
10
Suppose 42*c - 4*j = 34*c + 135324, -c + 16926 = 3*j. Calculate the remainder when c is divided by 22.
21
Let r = 404 + -1175. Let q = -233 - r. Calculate the remainder when q is divided by 15.
13
Let j(f) = 32*f - 447. Let w(z) = 11*z - 150. Let l(u) = -4*j(u) + 11*w(u). Calculate the remainder when 52 is divided by l(19).
2
Let y be 160/(-240)*(-9)/(-2). What is the remainder when (-16)/216*y + 106/9 is divided by 8?
4
Let i be ((-266)/(-35) - 8) + (-5364)/(-10). Suppose 13*k = 5*k - i. Let m = -23 - k. What is the remainder when m is divided by 12?
8
Let v(d) be the second derivative of 103*d**4/12 - 4*d**3/3 + 19*d**2/2 + 270*d. Calculate the remainder when v(2) is divided by 16.
15
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