3. What is the remainder when 51 - 3 - (-9 - -1)*3/(-6) is divided by f(-8)?
5
Let w(q) = -2*q**3 + 97*q**2 + q**3 + 96*q**2 - 287*q**2 - 11 + 31*q + 92*q**2. Calculate the remainder when w(-8) is divided by 43.
39
Let v = -116 - -116. What is the remainder when (v + 1 + -57)*-1 is divided by 22?
12
Suppose -b + 4*a = -5458, 240*b - 235*b + a = 27290. What is the remainder when b is divided by 13?
11
Suppose -159*n + 169*n = 340. Let f(h) = h**2 + h - 4. What is the remainder when n*(-35)/(-14) - -2 is divided by f(3)?
7
What is the remainder when 501 is divided by (((-765)/20)/(-9))/(19/456)?
93
Let s(w) be the first derivative of 13 + 7/2*w**2 + 0*w. Calculate the remainder when 104 is divided by s(5).
34
Let h(f) = -2*f + 29. Let w be h(12). Suppose w*t - 329 = -4*q, -2*t + 5*q + 163 = 5. Suppose 4*d = -3*d + 98. Calculate the remainder when t is divided by d.
13
Suppose 0 = -3*d - 320 - 1189. Let c = d - -516. Calculate the remainder when 36 is divided by c.
10
Suppose 2*r = 5*c + 1572, -2*r + 3*r - 4*c - 780 = 0. Let d = r + -690. What is the remainder when 529 is divided by d?
105
Let s = 605 - 605. Suppose -2*v - 3*t + 59 = s, v - 3*t - 2 = 50. What is the remainder when 249 is divided by v?
27
Calculate the remainder when ((-383700)/130)/(-10) - (-20)/(-130) is divided by 63.
43
Let p(c) = c**2 - 11*c + 12. Let n be p(1). What is the remainder when 3 - (n + 8/(-2) - 113) is divided by 60?
58
Suppose 4*c = -g + 55, c + 3*g + 90 = 6*c. Suppose -62*w + 57*w + c = 0. Calculate the remainder when 19 is divided by 1 + 3/(-3) + 1 + w.
3
Let k = -111 + 120. Let o(z) = 8*z - 36. What is the remainder when 126 is divided by o(k)?
18
Let t = -2783 + 2828. What is the remainder when 144 is divided by t?
9
Calculate the remainder when 759 is divided by ((-1562)/(-44) - 37)/((-1)/106).
123
Suppose 4*d - 16 = 2*z, -4*z - 4*d + 10 + 18 = 0. Let k(q) = -11*q - 8. Let l be k(-2). Calculate the remainder when l/(-35) - 22/(-5) is divided by z.
0
Suppose 12*b - 17*b = 5*w - 45, -76 = -4*b + 4*w. What is the remainder when (-150)/(-8 + 3) + 0 is divided by b?
2
Let y(p) = 2*p**2 + 90*p + 828. Calculate the remainder when 303 is divided by y(-11).
63
Let s = -600 - -606. What is the remainder when 2864/s + 120/72 is divided by 24?
23
Let d = -816 + 1679. Calculate the remainder when d is divided by 10.
3
Let r = -2937 + 7672. Calculate the remainder when r is divided by 64.
63
Suppose 4 = -6*v + 5*v. Let z = v + 8. Suppose -60 = -5*f - z*y + 128, 3*f - 104 = 2*y. Calculate the remainder when 69 is divided by f.
33
Suppose -2*d + 134 = -4*u, 0*u - u = d + 29. Let y be -19 - (0/3 - -1). Let a = y - u. Calculate the remainder when 22 is divided by a.
10
Let v(y) = 18*y**3 + y**2 + 12*y + 14. Let a be v(-4). Suppose -7*i + 3*i + 32 = 0. What is the remainder when (2/5)/((-18)/a) is divided by i?
2
Suppose 93*s - 78 = 91*s. What is the remainder when 37 is divided by 16/12*s/2?
11
Suppose 0 = -x - 2*g + 4, 4*x - 3*g + 13 = 29. Suppose x*i - 66 = -3*l, i = 10*l - 7*l - 66. Calculate the remainder when 392 is divided by l.
18
Suppose -h + 5*k = -2*h + 222, 3*k + 888 = 4*h. Let x be h/(-4)*(10 - 12). Let o = x + 1. What is the remainder when o is divided by 29?
25
Suppose 3*h - 7*h + 5*c = -1108, c + 276 = h. Calculate the remainder when 1/(-8) + 11458/h is divided by 2.
0
Suppose 90483 = 48*b + 22803. Calculate the remainder when b is divided by 9.
6
Let w be 16/4 - 82/(-2). Suppose u + 2*u - w = 0. What is the remainder when -16*-3*(-3 - 21/(-6)) is divided by u?
9
Suppose 2*t - 913 - 95 = 0. Suppose -442*d + t = -439*d. Calculate the remainder when d is divided by 34.
32
Let d(p) be the second derivative of p**4/6 + 11*p**3/6 - 17*p**2 - 3*p - 34. Calculate the remainder when d(5) is divided by 27.
17
Let i be 6/21 - ((-1992)/(-28))/(-3). Suppose -i*f = -21*f - 75. What is the remainder when 722 is divided by f?
22
Suppose -3*x + 15 + 171 = 0. Suppose 0 = 100228*w - 100107*w - 847. Calculate the remainder when x is divided by w.
6
Let s = 3416 - 3388. What is the remainder when 84 is divided by s?
0
Let x = -3524 + 3579. Calculate the remainder when 213 is divided by x.
48
Let n = 93 + -88. Suppose -n*h + 4*v + 34 = 0, -3*h - 3*v + 13 = -2. What is the remainder when (-12)/15*45/(-6) is divided by h?
0
Suppose 114*t - 5462 - 455 = 17*t. Calculate the remainder when 100 is divided by t.
39
Let u(a) = a**3 + 7*a**2 - a + 7. Let q(s) = -s**3 + 3*s**2 + 8*s - 1. Let d be q(-5). Let k = 254 - d. What is the remainder when k is divided by u(-7)?
11
Let u(l) = 11*l + 51 + 37 + 0*l. Calculate the remainder when (-2)/4*(-2 - 168) is divided by u(-6).
19
Let v(f) = -22*f. Calculate the remainder when v(-4) is divided by 1889765/126085 - (-4)/334.
13
Let n(f) = -61*f + 22. Let m(q) = 30*q - 11. Let y(x) = 7*m(x) + 3*n(x). Let h = 372 + -350. Calculate the remainder when y(6) is divided by h.
19
Suppose j - 4*w = 4*j - 466, 5*j - w - 792 = 0. Suppose -j = -11*r + 62. Calculate the remainder when r is divided by (3 - (-10)/6)/(4/6).
6
Let y = 54 + -44. Suppose -4*c - c - 20 = -m, -4*c + 2*m - 22 = 0. What is the remainder when y is divided by 17/(-5) - c - (-12)/5?
0
Suppose -j + 4*j = 2*z - 73, j = z - 38. Let q(g) = 2*g**2 - 2*g - 4. Calculate the remainder when q(-5) is divided by z.
15
Suppose 0 = 5*q + 3*s - 292, 0 = -q - 5*s + 27 + 5. Calculate the remainder when q is divided by 40.
22
Suppose 2*n - 2982 = 2*x, 333*x = -n + 337*x + 1470. Calculate the remainder when n is divided by 472.
82
Suppose -86*v = 1828*v - 88044. Calculate the remainder when v is divided by (-1 - (-5)/3)*42.
18
Let s = 77 - 54. Suppose 0 = 5*r + 885 + 295. Let t = r - -242. What is the remainder when s is divided by t?
5
Suppose 7*b = 28*b - 126. Let t(g) = -g**3 + 7*g**2 - g - 6. Let k be t(7). Calculate the remainder when b is divided by (k/(-52))/(1/8).
0
Suppose 25*l - 17511 = -15261. Calculate the remainder when 1709 is divided by l.
89
Suppose 7*u - 2 - 82 = 0. Suppose 82 = u*p - 11*p. Calculate the remainder when p is divided by (-4)/(-5) + 162/10.
14
Let h be (3 + -3)*3/9 + 55. Suppose 0 = 3*w + 6, 3*w + h = 2*k - 225. Calculate the remainder when k is divided by 14.
11
Let z(m) = -3*m + 35. Let s be z(-13). Suppose -s = -3*c + 157. Suppose -34 = -2*a - 8. What is the remainder when c is divided by a?
12
Suppose 105*j - 251457 = 100*j + 2*u, u - 251454 = -5*j. Calculate the remainder when j is divided by 132.
131
Let j(a) = a**3 + 8*a**2 - 2*a + 14. Suppose -6*o + 3*o = 1539. What is the remainder when ((-3)/9)/(3/o) is divided by j(-8)?
27
Let x(f) = -3*f**3 - 17*f**2 - 39. Calculate the remainder when 3254 is divided by x(-8).
391
Suppose 0 = 3*x - 0*x - 60. Suppose -18*n - 3*n - 7*n = -1008. What is the remainder when n is divided by x?
16
Let r = 21 - -9. Let i = 14 - r. Let k(a) = a**2 + 18*a + 51. What is the remainder when k(i) is divided by 8?
3
Let s be (-3)/(-1)*(-4 + 34/6). Let t = 358 + -209. Suppose 4*m - 39 = s*q - 784, -q + t = 3*m. Calculate the remainder when q is divided by 38.
35
Let s(g) be the first derivative of g**2/2 + 23*g - 36. What is the remainder when 111 is divided by s(-4)?
16
Suppose 8 = m + 1. Let y be 462/(-28)*(m - 1)/(-1). Let a = y + -71. What is the remainder when a is divided by 10?
8
Suppose 0 = -5*f - 619 + 179. Let g(l) = -l**3 - 7*l**2 - 7*l + 4. Let t be g(-4). Let r = t - f. What is the remainder when r is divided by 15?
12
Suppose 118*k = -5190 + 13922. Calculate the remainder when 82 is divided by k.
8
Suppose 0 = -13*g + 7*g - 2340. Let b = g - -533. What is the remainder when b is divided by 24?
23
Let r(d) = -d - 32. Let b be r(13). Let s = -41 - b. Suppose a + x - 16 = 0, -x - 62 = -s*a - 4*x. Calculate the remainder when 66 is divided by a.
10
Suppose 3*o - 334 = -5*h, 0 = -3*o - 5*h + 2*h + 342. What is the remainder when 1408 is divided by o?
110
Let t be 0*(-2)/(-24)*6. Suppose 4*o - f - 429 = -t*o, -108 = -o + f. Suppose -717 = -10*w - o. What is the remainder when w is divided by 8?
5
Suppose 0 = -11*l + 45 + 10. Suppose -2*a = 4*q - 5*q + 4, 4*a + q = -2. Calculate the remainder when 6*(-3 + l - a) is divided by 4.
2
Suppose 24*b - 308 - 436 = 0. Suppose -7*u = b*u - 30286. Calculate the remainder when u is divided by 10.
7
