et n(b) be the second derivative of b**4/12 + b**3 + 3*b**2/2 - 3*b. Let o be n(-5). Calculate the remainder when 2/(-8)*o*10 is divided by 3.
2
Let t(x) = -3*x + 20. Let f be t(-9). Suppose 4*i + 7*v = 2*v + f, 5*v + 5 = 0. Suppose c = -0*c + i. Calculate the remainder when 49 is divided by c.
10
Calculate the remainder when (15/(-9))/((-10)/348) is divided by 15.
13
Suppose 0 = -8*r + 3*r - b + 105, 2*b + 105 = 5*r. Calculate the remainder when (222/10)/((-33)/(-55)) is divided by r.
16
Suppose -4*s = -3*r - 89, 4*r = 4*s - 0*s - 92. Let m = 49 + 58. Let w = m + -30. What is the remainder when w is divided by s?
17
Suppose -4 = 3*k - 2*r, 31 = -3*k + 6*k + 5*r. Suppose 4*d - 2*b - 172 = -4*b, k*b = 4*d - 156. Calculate the remainder when d is divided by 7.
6
Let x(o) = -o**3 + 30*o**2 + 113*o - 77. Calculate the remainder when x(33) is divided by 105.
70
Suppose 2*l = l + 8. Suppose 0 = -3*k + 20 + 52. What is the remainder when (-1470)/28*l/(-6) is divided by k?
22
What is the remainder when (-76)/(-57) - (-8)/3 is divided by 3?
1
Suppose 5*h + 2*c = -765, 0 = 5*h - 3*c + 1060 - 270. Suppose -6*l + l = -20. What is the remainder when h/(-10) - 6/l is divided by 5?
4
Let x be 12/9*(-24)/(-2). Suppose -6*j = -62 - x. What is the remainder when 49 is divided by j?
10
Suppose 90 + 54 = -4*u. Let q = 59 + u. Calculate the remainder when 65 is divided by q.
19
Let a = 5944 + -3247. Calculate the remainder when a is divided by 27.
24
Let v = -16 - -35. Let z(r) = -9*r + 103. Let j be ((35/(-21))/5)/(2/(-66)). What is the remainder when v is divided by z(j)?
3
Let w = -12 + 27. Suppose s - 31 = 29. Suppose -5*y + s = w. Calculate the remainder when 24 is divided by y.
6
Let d = 134 - 1. What is the remainder when d is divided by 69?
64
Suppose -3*y + 13 - 4 = 0. Suppose g = y*a - 40, -59 + 7 = -3*a - 5*g. Calculate the remainder when 36 is divided by a.
8
Suppose 0 = g + 4*k - 664 - 283, -5*g - 3*k = -4735. What is the remainder when g is divided by 50?
47
Let z(i) = i**3 + 9*i**2 - 2*i - 13. Let u be z(-9). Suppose u*w = 2*t - 5*t + 156, 2*t = 4. Calculate the remainder when 85 is divided by w.
25
Let g = 58 + -39. What is the remainder when 165 is divided by g?
13
Let x be (-4)/14 - (-3 + 692/28). Let c = x + 32. What is the remainder when 16 is divided by c?
6
Let o = -10 - -4. Let y(m) = m**3 + 5*m**2 - 7*m + 4. Calculate the remainder when 49 is divided by y(o).
9
Let z = -43 + 52. Suppose 3*d + g - z = 0, 0*d + 18 = 3*d + 4*g. Calculate the remainder when 3 is divided by d.
1
Suppose -9*i + 853 = -2459. Suppose -5*y = -112 - i. Calculate the remainder when y is divided by 26.
18
Suppose 0 = 5*y - 86 - 24. What is the remainder when y is divided by 6?
4
Suppose -298 = 2*a + 26. Let x be ((-2)/6)/((-6)/a). What is the remainder when 27 is divided by x/(-12)*(26 + -6)?
12
Suppose 4*o - 160 = -0*o. Calculate the remainder when o is divided by 15.
10
Let b(u) = -u**2 - 6*u + 4. Let k = -11 + 6. Let g be b(k). Suppose -5*i = -g*i + 440. What is the remainder when i is divided by 28?
26
Suppose 0 = -5*o - y + 400, -8*o + 5*y = -10*o + 160. Suppose -3*h - 36 = -2*u, 0 = u - 3*h - 2*h - 32. What is the remainder when o is divided by u?
8
Suppose -52 = -5*u + 503. Suppose -45*i + u = -42*i. What is the remainder when 146 is divided by i?
35
Let q = 17 - 3. Let w = 117 - 115. Suppose 2*g = -0*g + 3*i + 26, w*g = 4*i + 30. What is the remainder when q is divided by g?
0
Calculate the remainder when (-12856)/(-64) + 6/48 is divided by 80.
41
Suppose -5*x = -171 - 154. Suppose 2*d = x + 15. What is the remainder when 14 is divided by 30/d - (-58)/8?
6
Let h(q) = -q - 10. Let t be h(-11). Suppose 11 = k + t. Calculate the remainder when 18 is divided by k.
8
Let r be (2/(-8))/((-22)/352). Suppose 12 + r = x. What is the remainder when 28 is divided by x?
12
Suppose 59 = 5*k - l - 0*l, 5*k = 5*l + 55. What is the remainder when 250 is divided by k?
10
Let u(o) = -o**3 + 6*o**2 - 5*o - 1. Let m be u(5). Let a be (-2 - -7) + 1*m. Suppose 28 = a*r + 4. What is the remainder when 9 is divided by r?
3
Let j be 4/(-6)*-33 + 2. Suppose -6*d + 5*f = -4*d + 2, -5*f - 16 = -4*d. Calculate the remainder when (j/(-5))/((-2)/10) is divided by d.
6
Let q be 3*((-5)/15 - -1). Suppose 0 = -3*l + 3*j + 33, -4*l - q*j + 2 + 30 = 0. What is the remainder when 68 is divided by l?
5
Suppose -9*w = -26 - 10. Suppose 2*t = w*d + 64, 2*t - 22 = -5*d + 15. What is the remainder when (-806)/(-8) + 4/16 is divided by t?
23
Suppose -12 = s + 2*s. What is the remainder when ((-1*2)/(-4))/(s/(-424)) is divided by 7?
4
Let f = 15 - 17. Calculate the remainder when (-4)/6 + (-179)/(-3) is divided by (f + -4 + 1)*-3.
14
Suppose -391*g = -375*g - 2864. Calculate the remainder when g is divided by 30.
29
Suppose -70*s + 56*s + 126 = 0. Calculate the remainder when 79 is divided by s.
7
Suppose 0*k - 4*k = 0. Let c(u) = u**2 - 19. Let m be c(k). Let o = m - -46. What is the remainder when o is divided by 10?
7
Suppose 0 = -285*i + 297*i - 72. Calculate the remainder when 326 is divided by i.
2
Let j = -102 - -150. Let p = j - 26. Let f = p + -6. What is the remainder when 63 is divided by f?
15
Suppose 3*a = 8 + 82. Let o be 34/(-119) + 88/14. Calculate the remainder when a is divided by o/4*(4 - (-100)/15).
14
Suppose 5 + 10 = -5*k, -41 = -f + 5*k. Let d = -225 + 326. Calculate the remainder when d is divided by f.
23
Let l = -5 - -11. Let p be (-6 - -3)/(-1*1). Suppose 8*k - p*k = 70. What is the remainder when k is divided by l?
2
Let y = 51 - 107. Let t = y + 62. Calculate the remainder when 18 is divided by t.
0
Let j(t) = 2*t + 1. Let q be j(2). Let c(h) be the second derivative of 11*h**3/6 - 2*h**2 + 5*h. Calculate the remainder when c(q) is divided by 13.
12
Let u(o) = 68*o - 1. Let k be u(1). Let f = 121 - k. Suppose y - 16 = 5*y, -4*y + 3 = c. Calculate the remainder when f is divided by c.
16
Let g = 193 - 122. Suppose -3*p - 5*i + 74 = 9, 119 = 5*p + 3*i. What is the remainder when g is divided by p?
21
Let c be (-3)/(-15) - (-76)/20. Calculate the remainder when 9 is divided by ((-2)/c)/(16/(-128)).
1
Suppose 0 = 3*g + w + 220, -2*g + 0*w + 2*w = 136. Let p = g - -119. Suppose -43 = -5*d + 17. Calculate the remainder when p is divided by d.
11
Let i(p) = p**2 + 10*p + 3. Let q be i(-4). Let x be ((-390)/q)/(2/14). Suppose 4*g - x = -g. Calculate the remainder when g is divided by 9.
8
What is the remainder when (-934)/(8/(-60)*-3*-5) is divided by 13?
12
Suppose -4*f = 2*d - 300, 5*d - 2*f - 732 = -3*f. What is the remainder when d is divided by 77?
69
Calculate the remainder when 14 is divided by 14/(-35) - (-34)/10 - -4.
0
Suppose -175 = 5*x + 85. Let n = 107 + x. Suppose m = -1, -m - n = -4*v - 6*m. Calculate the remainder when 29 is divided by v.
14
Suppose 0 = -197*n + 198*n - 91. What is the remainder when n is divided by 11?
3
Let g(n) = 3*n**3 + 36*n**2 + 31*n - 7. Calculate the remainder when (14/2)/(2/8) is divided by g(-11).
13
Suppose 4*a - 34 - 46 = 0. Let k = a + -12. Let u = 31 - 16. What is the remainder when u is divided by k?
7
Let i be 16/3*15/10. Suppose 4*d + 72 = -0*d - 5*w, -i = -2*w. What is the remainder when 0/(-2) - 0 - d is divided by 13?
10
Let g(z) = -13 - 3*z + 12 - 6 - z. Suppose 5*n - 432 = 143. Calculate the remainder when n is divided by g(-9).
28
Let r(g) = -2*g + 11. Let a be r(8). Suppose 0 = -2*h - 14 + 4. Calculate the remainder when 13 is divided by (-41)/h + a/25.
5
Let m = 235 - 213. Calculate the remainder when 66 is divided by m.
0
Suppose 2*a + 5*p - 438 = 0, -2*a - 9*p + 426 = -10*p. What is the remainder when a is divided by 36?
34
What is the remainder when 4 - (-46 + 4/(-2)) is divided by 30?
22
Let c be 61/4 - (-3)/(-12). Let x be 3/c*(7 + -2). Let d = 1 + x. Calculate the remainder when 4 is divided by d.
0
Let r(f) = 3*f**2 - 8*f + 8. Let s be r(4). Suppose s = 2*v + 12. What is the remainder when 11 is divided by v?
5
Suppose 38 = 4*u + 26. Let m be 0/2 - (-2 + -3). Suppose -m*d + 56 = -u*z + 2, -33 = -5*d - 4*z. Calculate the remainder when 26 is divided by d.
8
Let r = 6 - -12. Suppose 105*p = 172*p - 2278. What is the remainder when p is divided by r?
16
Let p(b) = -4*b + 23. What is the remainder when p(-7) is divided