third derivative of b**5/60 - 3*b**4/8 - 8*b**2. What is the remainder when x is divided by r(10)?
9
Suppose 20*b = 22*b - 6. Suppose -2*k - 112 = -o, o = 2*o - b*k - 111. What is the remainder when o is divided by 23?
22
Let b(i) = 4*i**2 - 5*i - 3. Suppose 2*l - 3*w = 122, 3*w = -0*l - 4*l + 280. What is the remainder when l is divided by b(-2)?
21
Suppose -2*b - 2*h + 0*h = -76, 174 = 5*b + h. Suppose -29*w + 255 + 267 = 0. Calculate the remainder when b is divided by w.
16
Suppose 206 - 47 = 3*n. Let f = n + -38. What is the remainder when f is divided by 3/((-245)/(-56) + -4)?
7
Suppose 5*t + 2*j - 185 = 0, 19*t = 17*t - j + 75. What is the remainder when 453 is divided by t?
33
Suppose -3*z + 5*y = 6 + 3, 15 = 5*y. Suppose -t + 3*k = k - 22, z*t + k = 49. Calculate the remainder when 35 is divided by t.
11
Let s(k) = k + 121. Calculate the remainder when s(-9) is divided by 43.
26
Suppose 19 + 1 = 5*w. Let g(l) = 2*l + 3. Calculate the remainder when 63 is divided by g(w).
8
Let g = 71 - -98. Let o = g + -124. What is the remainder when o is divided by 17?
11
Suppose -4*m + m - 5*p = 18, 3*m - 3 = 2*p. Let o = 30 + m. Calculate the remainder when o is divided by 17.
12
Suppose -63*x + 199 + 1250 = 0. Let t(h) = -h + 88. What is the remainder when t(0) is divided by x?
19
Let j = 295 + -285. What is the remainder when 196 is divided by j?
6
Let a be -4 + (-56)/(1 + 1). What is the remainder when 175 is divided by (44/16)/((-2)/a)?
43
Let t(a) = -9*a - 67. Calculate the remainder when 139 is divided by t(-8).
4
Suppose 18*f - 718 + 322 = 0. What is the remainder when 76 is divided by f?
10
Calculate the remainder when (-2)/11 + 20430/198 is divided by 15.
13
Let x(g) = g**2 + g - 3. Let t be x(-3). Let u be 1 - (t - (7 - 3)). Suppose 3*s = -u*s + 205. Calculate the remainder when s is divided by 21.
20
Let z(f) = 33*f - 8*f - 16*f + 67. Calculate the remainder when 7 is divided by z(-7).
3
Let q = -521 + 844. Calculate the remainder when q is divided by 54.
53
Suppose 5*l - 219 = -p, -3*p + 141 = 2*l + l. Suppose -11 = -2*n - 3. Suppose 3*f - 32 = -2*x - n, 2*f - 15 = -x. What is the remainder when l is divided by x?
10
Let v = -1587 + 1795. Calculate the remainder when v is divided by 27.
19
Let k(n) = 4*n + 54. Let l be k(16). Suppose 0 = c + 3*h - l, 2*c + h = -c + 362. Calculate the remainder when c is divided by 14.
9
Let q = 992 + -711. Calculate the remainder when q is divided by 22.
17
Let t(s) = 2*s**3 + 3*s**2 + 9*s. Let b(h) = 2*h**3 + 2*h**2 + 10*h + 1. Let j(x) = 4*b(x) - 5*t(x). What is the remainder when j(-4) is divided by 11?
7
Suppose 159 = 161*o - 108*o. Suppose 0 = -5*w + 26 - 1. Calculate the remainder when w is divided by o.
2
Let b(x) = -2*x + 6*x - 5 + 20 + 3*x**2. What is the remainder when b(-5) is divided by 17 + -1*1*-1?
16
Let w(o) = 10*o + 84. Calculate the remainder when 393 is divided by w(-4).
41
Let k(u) = -23*u - 484. What is the remainder when 1162 is divided by k(-22)?
18
Let g be 1 - ((-8)/4 - 1). Suppose 2*b - g = -8. What is the remainder when 66/(b/(-10)*5) is divided by 17?
15
Let s = 233 + -551. What is the remainder when (-3)/5 - s/5 is divided by 17?
12
Let z(l) be the second derivative of l**4/4 - l**3/6 + l**2/2 - 2*l. Suppose 3*k + 1 = -4*q - 1, 5 = -q. What is the remainder when k is divided by z(1)?
0
Suppose -3*h + 5*g + 46 = 0, 11*h - 5*g = 7*h + 58. What is the remainder when 35 is divided by h?
11
Let n = -31 - -34. Suppose -n*k - 15 = -0, -r = 2*k - 26. What is the remainder when r is divided by 7?
1
Let u be ((-3)/2)/((-12)/(-16)). Let m = 4 + u. Suppose -24 = -m*g + 20. Calculate the remainder when 85 is divided by g.
19
Let v = 2 + 362. Suppose 2*t + 5*t - v = 0. What is the remainder when t is divided by 9?
7
Suppose 4*x - 210 = -25*r + 23*r, 0 = r - 5*x - 133. Calculate the remainder when 438 is divided by r.
99
Suppose -16 = -t + 98. Suppose 3*c + 5*i = t, c + c + 5*i - 81 = 0. Calculate the remainder when 63 is divided by c.
30
Suppose -g = -30 + 6. Suppose -10 = 2*k, -4*k - 592 = m - 5*m. Calculate the remainder when m is divided by g.
23
Let o(j) = -j**3 - 6*j**2 - 40*j - 192. What is the remainder when o(-6) is divided by 14?
6
Suppose -58 = 4*g - x - 17, -5 = g - 2*x. Let l = g - -21. What is the remainder when 9 is divided by 22/5 - (-6)/l?
4
Let b = -68 - -75. What is the remainder when 89 is divided by b?
5
Let k(w) = w**2 - 36*w - 104. What is the remainder when 556 is divided by k(39)?
10
Let j(o) = -15*o**3 - o**2 - o - 1. Suppose -54*w + 19*w + 910 = 0. Calculate the remainder when w is divided by j(-1).
12
Let f(r) be the third derivative of r**6/120 + 2*r**5/15 + 5*r**4/12 + 13*r**3/6 - 23*r**2. Calculate the remainder when 95 is divided by f(-6).
20
Suppose 24 = -2*k + 4*k. Suppose 5*a + 123 = 6*l - 4*l, -15*l - 4*a = -881. What is the remainder when l is divided by k?
11
Let m = 0 + 4. Suppose 5*a - 3*y = -59 + 971, 362 = 2*a - m*y. Suppose -a = 3*s - 6*s. What is the remainder when s is divided by 31?
30
Let t(m) = -2*m + 156. What is the remainder when t(13) is divided by 10?
0
Calculate the remainder when 6/(-30) + (4 - (-1001)/5) is divided by 36.
24
Let g(d) = -d**2 - 27*d + 134. Calculate the remainder when g(-22) is divided by 79.
7
Suppose 4*t + h = -2*h - 3, 0 = -3*t - 4*h + 3. What is the remainder when (18/7)/(69/322) is divided by t/(-6)*(-1 - -15)?
5
Suppose -q = -8 - 8. Calculate the remainder when 235 is divided by q.
11
Let i(d) = d**3 + 24*d**2 + 3*d + 16. Let z be i(-24). Let o = z + 58. What is the remainder when o is divided by 1?
0
Suppose 5*g - 4*s - 128 = g, -5*g = -2*s - 169. Let k = -54 + 46. What is the remainder when g is divided by (-37 + 13)*3*2/k?
17
Let w(r) = -r + 6. Let s be w(3). Let l(v) = 12*v + 20. Let t(j) = 1. Let m(o) = l(o) - 20*t(o). Calculate the remainder when m(s) is divided by 19.
17
Suppose 0 = -0*k + 2*k + 6, 2*s + 2*k = -2. Calculate the remainder when 58 is divided by (s/8)/((-1835)/460 + 4).
12
What is the remainder when 74 is divided by 3*(-1)/(-6)*52?
22
Let i = -15 + 67. Suppose -58*b = -i*b - 198. What is the remainder when b is divided by 17?
16
Suppose 747 = 4*q - 5*r, 0 = -5*q + q - 2*r + 726. Calculate the remainder when q is divided by 21.
15
Suppose f - 15 = 19. Suppose i = -9 + f. Suppose 2*b + y = 125, 0 = 3*y + 2*y + i. What is the remainder when b is divided by 17?
14
Let z(u) = -u**3 + 7*u**2 - 5*u - 3. Suppose g = -g + 8. Calculate the remainder when z(g) is divided by (-6)/(-21) - (-47)/7.
4
Suppose l + 4*l = 600. Calculate the remainder when ((-6)/15)/((-6)/l) is divided by 4.
0
Suppose -41 = -7*l + 43. Suppose 0*d + d = -1. Let b = l + d. Calculate the remainder when 53 is divided by b.
9
What is the remainder when (-5)/(-10)*(453 + -7) is divided by 56?
55
Let a = 0 + 5. Let f be 2/(-5) - (-3 + (-771)/15). Suppose 5*v = 14*v - f. Calculate the remainder when v is divided by a.
1
Suppose 3*i + 17*g = 21*g + 294, 2*g - 370 = -4*i. Let q = -18 + 37. What is the remainder when i is divided by q?
18
Let v(u) = -13*u**3 + 5*u**2 + 12*u - 8. Let h(d) = 4*d**3 - 2*d**2 - 4*d + 3. Let l(p) = -11*h(p) - 4*v(p). Calculate the remainder when l(2) is divided by 13.
11
Let d(u) = u**3 - 4*u**2 + 4*u - 6. Suppose -78 = 9*v - 49 - 65. Calculate the remainder when d(4) is divided by v.
2
Suppose 0 = -2*m + 245 - 53. Let g = m + -1. What is the remainder when g is divided by (-8)/6 + (-1140)/(-45)?
23
Let h(b) = -b**3 - b**2 - b - 29. Calculate the remainder when h(-6) is divided by 18.
13
Suppose 6*r + 35 - 179 = 0. Let s(t) = t**3 - 5*t**2 - 5*t + 7. Let x(y) = y**2 - y - 6. Let m be x(-3). Calculate the remainder when r is divided by s(m).
11
Suppose 37 = 5*j - 8. Let a(f) = 3*f**3 - f**2 + 4*f - 3. Calculate the remainder when a(2) is divided by j.
7
Suppose -22 = 10*y + y. Let r = 33 - 20. What is the remainder when (-73)/y - 3/(-6) is divided by r?
11
Suppose 0*t - 25 = -5*t. Calculate the remainder when (((-192)/(-6))/4)/((-2)/(-8)) is divided by t.
2
Suppose 5*x + 4*o + 198 = 7*x, 4*x = -2*o + 446. Suppose 5*p + 3*s = 112 + 18, -2*p = -2*s - 36. Calculate the remainder when x is divided by (p - 1) + -3 - -3.
21
Let t(h) = 2*h + 7. Suppose 3*o = -o. Suppose 0 = 4*m + m + 3*v - 89, o = 4*m + 2*v - 72.