 when 63 is divided by b.
17
Let r = -95 - -149. Let o(b) be the third derivative of -b**4/8 - 2*b**3/3 - 10*b**2. What is the remainder when r is divided by o(-6)?
12
Let d(k) = 3*k**2 + 4*k - 51. Let b(q) = -q + 1. Let i(n) = 5*b(n) + d(n). What is the remainder when i(6) is divided by 21?
14
Let n(q) = -2*q**3 - 21*q**2 - 9*q - 36. What is the remainder when 1101 is divided by n(-11)?
181
Let q = 54 - 41. Let w be (4/5)/(q/(-5) - -3). Calculate the remainder when 46 is divided by (w/(-6))/(-2*(-5)/(-510)).
12
Let b = -298 + 253. What is the remainder when 297/b*(-70)/6 is divided by 22?
11
Suppose -m - g = 2*m - 190, 4*g + 185 = 3*m. Let a = -60 + m. Suppose 130 = -5*h - s + 343, -2*s = -a*h + 133. Calculate the remainder when h is divided by 12.
7
Let m be 3882/8 - (-1)/(-28)*7. Suppose n + 467 = m. Calculate the remainder when 41 is divided by n.
5
Let w = 7 + 13. Suppose w = d - 34. Let k = d - 43. Calculate the remainder when 42 is divided by k.
9
Suppose -4493*k + 4487*k + 1207 = -611. Calculate the remainder when k is divided by 15.
3
Suppose 0 = -20*q + 5505 + 17115. Let w = -748 + q. Calculate the remainder when w is divided by 64.
63
Let c = -259 - -264. Suppose 0 = o - c*k - 4, 14 = 4*k + 2. Calculate the remainder when 74 is divided by o.
17
Let s(y) = -2*y + 5. Suppose 24*p - 26*p - 140 = -6*p. What is the remainder when p is divided by s(-5)?
5
Let l = -214962 + 214965. What is the remainder when (-2 + 0)/((-6)/663) is divided by l?
2
Let r be ((-8)/(-5) - 1)/(40/200). Suppose -4 - 3 = -2*z - r*k, 5*k = -z. Suppose t - 7 = -0*t. What is the remainder when t is divided by z?
2
Let v = 9739 - 1407. What is the remainder when v is divided by 20?
12
Let o(p) = p**2 - 10*p - 7. Let x be o(11). Suppose 3*v = m - 15, x*m - 2*v = -0*m + 50. What is the remainder when m is divided by (-8 - -1)*1*-1?
5
Let t(w) = -w**2 - w + 1. Let h be t(0). Let z = -5 + 12. What is the remainder when -82*(-2)/4*h is divided by z?
6
Suppose 469*q + 773 = 470*q. Calculate the remainder when q is divided by 256.
5
Let z = -83 - -95. What is the remainder when 56*(-5)/(-10) - 5 is divided by z?
11
Let x = -133 - -111. Let q(i) = 24*i + i - 233 + 309 + i**2. What is the remainder when 17 is divided by q(x)?
7
Suppose 0*m + 2*g = 2*m - 154, 2*g = -4*m + 296. Calculate the remainder when m is divided by (2 - -64)*(-32)/(-48).
31
Let n = 1725 - 1528. What is the remainder when n is divided by 25?
22
Calculate the remainder when 3/(-6)*-2*129 is divided by 115*(-6)/(-1950)*13*15.
60
Suppose 19 = -b + 456. Suppose 12*h - b = 3319. What is the remainder when h is divided by 35?
33
Let m(z) = -z**3 - 15*z**2 - 32*z + 166. Calculate the remainder when m(-18) is divided by 287.
279
Let i(f) = 2*f + 11. Let l be i(5). Suppose -22*g = -l*g - 49. Suppose 0*c + 3*c - 83 = -2*w, 2*w - 2 = 0. What is the remainder when g is divided by c?
22
Let o = -44 - -158. Suppose -24 = 3*c + o. What is the remainder when 166 is divided by 4*3/(-3) - c?
40
Let y = -225 - -318. Suppose -16 = 4*s - 12*s. Suppose 10 + s = u. Calculate the remainder when y is divided by u.
9
Let t(f) = -24*f**3 + 10*f**2 - 9*f + 9. Calculate the remainder when t(-5) is divided by 57.
55
Suppose -2*t = -4*i - 460, 29*t - 28*t - 235 = i. What is the remainder when t is divided by 121?
119
Let l = 18 + -18. Suppose l = 8*n + 286 - 2430. What is the remainder when n is divided by 54?
52
Suppose j = i - 66, 4*j = -5*i - 152 + 473. What is the remainder when (256 + 2)*(1 + (-32)/8 + 4) is divided by i?
63
Let m = -86 + 133. Calculate the remainder when m is divided by (-39)/6*2*(0 - 1).
8
Suppose n + 44 = 3*t - 3*n, 0 = 5*t - 3*n - 66. Suppose -3*h = -t*h - 567. Let k = -54 - h. Calculate the remainder when 40 is divided by k.
4
Suppose 0 = -3*m + 5 + 34. Let x(d) = 3*d**2 - 4*d + 7. What is the remainder when x(4) is divided by m?
0
Let n(b) = 2*b**2 - 12*b + 9. Let i be n(8). Suppose 0 = 2*g - 5*g + 42. What is the remainder when i - (-2 - (-2 + -1)) is divided by g?
12
Let z(q) = q**2 + 83*q + 1230. Calculate the remainder when z(-68) is divided by 64.
18
Calculate the remainder when 94 is divided by (-14)/11*(50/20 - 8).
3
Suppose 5*q = 3*q + 2. Let t(m) be the third derivative of m**5/3 + m**4/8 - m**3/3 + 57*m**2. Calculate the remainder when 121 is divided by t(q).
16
Let o(x) be the second derivative of -1/20*x**5 + 0 + 2/3*x**3 + 17/2*x**2 - 5/12*x**4 - 19*x. Calculate the remainder when o(-7) is divided by 10.
7
Suppose 15*g = 3*a - 11*g - 1058, 2*g = -26. Let n(z) = 4*z**2 + 3*z. What is the remainder when a is divided by n(-3)?
24
Suppose -83*c + 89*c = 0. Suppose p - 66 + 2 = c. Calculate the remainder when p is divided by 17.
13
Let w = 6709 - 6438. What is the remainder when w is divided by 117?
37
Let l be (12/15)/(2 + (-76)/40). Suppose -9*z = -l*z - 20. Suppose 465 = 23*a - z*a. What is the remainder when a is divided by 26?
25
Let r(d) = d**2 - 8*d - 84. Let t be r(27). Let m = 514 - t. What is the remainder when m is divided by 3?
1
Let k = 93 + -23. Let t = k + -32. Calculate the remainder when t is divided by ((-27)/6 - -1)*(-4976)/2177.
6
Let d = -795 + 811. Let y = 8 + -5. Calculate the remainder when y*(44/6 - -3) is divided by d.
15
Let c(m) = 2341*m - 2208. What is the remainder when c(1) is divided by 14?
7
Let x(w) = -w**3 + 18*w**2 + 24*w + 326. What is the remainder when 104 is divided by x(20)?
2
Let k = -20290 - -20483. Calculate the remainder when 3471 is divided by k.
190
Suppose -3*b - 2*o + 180 = 573, -3*b + 4*o - 411 = 0. Let x = -115 - b. Calculate the remainder when (-8)/3*153/(-6) is divided by x.
14
Suppose -5*z = -2*z - 99. Let j = 4055 - 3992. What is the remainder when j is divided by z?
30
Suppose -21*q + 52958 = 52727. Let s = -87 + 155. What is the remainder when s is divided by q?
2
Let f = 2935 + -2839. Suppose -69 + 51 = -2*n. What is the remainder when f is divided by n?
6
Let o(b) = 33*b**2 + 6*b + 4. Let p be o(-1). Suppose -39*g = -p*g - 352. Calculate the remainder when g is divided by 16.
12
Let j(m) = m**2 - 3*m + 3. Let s = -192 + 276. Let w = s - 79. What is the remainder when j(6) is divided by w?
1
Let x(a) = 7*a - 10 + a**2 - 6*a + a**2 + 4*a. Calculate the remainder when 66 is divided by x(3).
20
Suppose -12*h + 576 = -4*h. Suppose 16*o = 22*o - h. Calculate the remainder when 57 is divided by o.
9
Suppose 25*q = 28*q + 837. Let m = 280 + q. Calculate the remainder when 1 is divided by m.
0
Let f(o) = 0 - 4 + 0 - 41*o - 6. Calculate the remainder when f(-6) is divided by 17.
15
Suppose -5*a + 0*a = 85. Let t = -7 - a. Suppose 7*x = -g, 3*g - 3*x - 32 = -2*g + 6. Calculate the remainder when t is divided by g.
3
Suppose 5*s = -3*f + 1603, -s - 1 = -0. Suppose u - f = -7*u. Calculate the remainder when u is divided by 7.
4
Let y(d) = 5*d**2 + 9*d + 7. Calculate the remainder when y(7) is divided by ((-6)/(-4))/(144/5088).
50
Let k(h) = -h**2 - 5*h + 324. What is the remainder when 311 is divided by k(-20)?
23
Suppose -636*o - 28075 = -641*o + 5*s, -4*s - 28069 = -5*o. Calculate the remainder when o is divided by 31.
29
Calculate the remainder when 1781 is divided by -22 + 9 - 1*-118.
101
Suppose -4*y + 4*w + 7 + 65 = 0, 4*y = -4*w + 64. Let g = 2663 - 2633. What is the remainder when g is divided by y?
13
Let z(v) = -v**3 + 84*v**2 + 172*v + 79. What is the remainder when 479 is divided by z(86)?
5
Let b = -5375 - -5501. What is the remainder when 457 is divided by b?
79
Let l = 51 - 46. Suppose 0 = -3*y + l*y - 4. Let f = 3 + y. Calculate the remainder when 8 is divided by f.
3
Suppose 10*c = 412 + 298. Calculate the remainder when 997 is divided by c.
3
Let v be 6*7/42*19. Suppose 0 = -t, -21*o + 84 = -v*o + 4*t. What is the remainder when 73 is divided by o?
31
Let a be 1/(2/(-26))*-5. Suppose w - a - 72 = 0. What is the remainder when w is divided by 69?
68
Let a = 44985 - 44933. Let s = -30 - -44. Calculate the remainder when a is divided by s.
10
Let n = 349 - 128. Let u = n + -219. Suppose -3*g + 4 = 2*d, 4*d - 2 = 5*g + 6. What is the remainder when d is divided by u?
0
Let g = 1711 + -1593. What is the remainder when g is divided by 11?
8
Suppose 3*v - 5*i = 54, 3*v - 2*v = -3*i + 18. Suppose 1 + 11 = -6*m. Let f(s) = 13*s**2 + 2*s + 2.