be the first derivative of 2*s**3/3 - 5*s**2 - 3*s - 12. Let d be y(8). Suppose 3*z + 6 - d = 0. Calculate the remainder when 37 is divided by z.
11
Let n(s) = s**3 + s**2 - 25*s - 6. What is the remainder when 546 is divided by n(5)?
14
Let b(f) = -25*f**2 + 124*f + 7. Let l be b(5). Suppose -x - 19 + 36 = -4*h, -l*h = x - 47. Calculate the remainder when 183 is divided by x.
35
Suppose -2*g - 3*l = -454, -g = g - 5*l - 486. Suppose -20*u + 28 = -232. What is the remainder when g is divided by u?
12
Suppose -4*y = -2*s - 80, 5*y + 0*s = -4*s + 74. Let z = -16 - 33. Let c = 101 + z. Calculate the remainder when c is divided by y.
16
Let m = -36 + -239. Let v = m - -281. Calculate the remainder when 57 is divided by v.
3
Suppose 11*r - 31 = 189. Suppose -270 = -10*i - r. What is the remainder when i is divided by 4?
1
Let m be 5*(2/6*3)/1. Suppose m*d = 5*p - 105, 0 = 3*p - 4*d - 3 - 64. Calculate the remainder when p is divided by 4.
1
What is the remainder when -18 + (-8)/(-56)*1358 is divided by 11?
0
Let x(r) = -101*r**3 + 3*r**2 + 2*r + 4. Let q be x(2). Let k = 802 + q. What is the remainder when 99 is divided by k?
1
Let n = -113 + 134. Calculate the remainder when (125 - -1) + 6/(-3) is divided by n.
19
Let p be ((-2)/(-4))/(1/14). Suppose 0 = -p*u + 3*u + 244. Let x(r) = -16*r**2 + 75*r + 46. What is the remainder when u is divided by x(5)?
19
Suppose -5*h + 6 = -654. Suppose 4*n - n = h. Suppose 2*g - 68 = 5*z, 805*g + 4*z + 22 = 803*g. What is the remainder when n is divided by g?
8
Let k = -35 + -3. Let j = k - -43. Suppose 67 = j*s - 2*t, s - 14 = 2*t - t. What is the remainder when s is divided by 8?
5
Suppose 0 = 2*s - 32*z + 30, 19*s + 4*z = 21*s - 110. What is the remainder when s is divided by ((-4)/3)/(4/(-66))?
21
Suppose 0*d - 2*d = -12. Let x = 23 - d. Suppose 660*f = 2*y + 657*f - 49, -15 = -3*y - 2*f. What is the remainder when x is divided by y?
6
Let v(k) = 2*k**2 + 11*k + 3. Let o(f) = -2*f**3 + 2*f**2 + 2*f. Let j be o(-2). Suppose 6*c = -j - 16. Calculate the remainder when v(c) is divided by 2.
1
Suppose -5*f + 123 = 2*k + 61, 4*k - 5*f + 26 = 0. Let g = -147 - -271. What is the remainder when g is divided by k?
4
Let w = 250 - 216. What is the remainder when w is divided by 6?
4
Let f be (-8)/((-5)/((-25)/(-10))). Suppose 5*d = f*p + 42, -2*d - 4 + 20 = -2*p. What is the remainder when 157 is divided by d?
7
Suppose 14*p = 11*p - 3*k + 2226, 3710 = 5*p - k. Calculate the remainder when 2237 is divided by p.
11
Let j = -4216 - -4398. What is the remainder when j is divided by 57?
11
Suppose -3*j + 277 = -5*m, -1 = 4*m + 19. Calculate the remainder when j is divided by -3 + 1 + (-9 - -49) + -9.
26
Let o = 3 - 6. What is the remainder when 14/(-3)*3*(-252)/49 is divided by o + (3 - (3 + -41))?
34
Suppose -351 = -5*m + 4*v, m - 12 - 63 = 2*v. Calculate the remainder when 870 is divided by m.
66
Let o(v) = 71*v**2 + 2*v - 1. Suppose 0 = -146*j + 503*j - 3161 - 5764. What is the remainder when o(1) is divided by j?
22
Let u = -345 + 711. Let a = u + -329. What is the remainder when 86 is divided by a?
12
Calculate the remainder when (-49)/1*((-115)/(-23) + -24) is divided by 4.
3
Suppose 8*f - 28*f + 21951 - 5671 = 0. Calculate the remainder when f is divided by 401.
12
Suppose -10420 = -3*h - 4*t, -5*h + 5*t + 10465 = -2*h. Suppose 0 = -14*q + 1812 + h. What is the remainder when q is divided by 19?
17
Let u = -15179 - -15181. Calculate the remainder when 191 is divided by u.
1
Let f = 3250 - 3058. Calculate the remainder when 946 is divided by f.
178
Suppose -2*u + 2458 = 2*a, -4*u - 5*a + 1229 = -3*u. Calculate the remainder when u is divided by (-16)/(-15)*38535/734.
53
Calculate the remainder when 2266 is divided by (-6)/(-9) + 33/(1386/2240).
52
Suppose -2*u + 109 = -w + 10, -280 = -5*u - 4*w. Calculate the remainder when (-6)/(-9) - (-1238)/6 is divided by u.
51
Suppose -31*y = -5*f - 30*y + 62, 2 = -y. Calculate the remainder when 979 is divided by f.
7
Let x(n) be the third derivative of -n**5/12 - 5*n**3/6 - 14*n**2. Let o(y) be the first derivative of x(y). Calculate the remainder when o(-2) is divided by 8.
4
What is the remainder when (-60)/(-72) - (-28)/9*2541/8 is divided by 124?
121
Let t(h) be the third derivative of h**5/60 + h**3/6 - 9*h**2. Let k be t(-1). Calculate the remainder when 6*k/8*38 is divided by 20.
17
Let q(n) be the first derivative of 3*n**2/2 + 10*n + 61. Calculate the remainder when 168 is divided by q(8).
32
Suppose -5*d + 0*y + y - 2 = 0, d + 8 = 4*y. Let m be 5/(-15)*-3 + (165 - d). What is the remainder when (m/4)/(3 - (-10)/(-4)) is divided by 29?
25
Suppose -15*v + 638 = -1304 - 1133. What is the remainder when v is divided by 199?
6
Let a = 8811 - 8690. What is the remainder when a is divided by 68?
53
Suppose 2*n - v - 108 = -0*v, n + v = 51. Suppose 6*a - a - 10 = 0. Suppose o = -a*o + 54. What is the remainder when n is divided by o?
17
Suppose 2*p - 380 = -s, -5*p = -4*p + 1. Calculate the remainder when s is divided by 96.
94
Suppose -p = -2*p - 4*f + 123, 0 = 5*f. What is the remainder when p + (10/(-4) - 48/(-32)) is divided by 63?
59
Let r(n) = n**3 - 5*n**2 + 4*n + 3. Let p be r(4). Suppose -p*a = -2*s - 157, 7 = -5*s + 12. What is the remainder when a is divided by 16?
5
Let r(t) = -t**2 + 84*t - 451. What is the remainder when 92 is divided by r(6)?
7
What is the remainder when 3/(-8) + (-204)/30*1495/(-16) is divided by 315?
5
Suppose -160 = 19*b - 8. Let n(d) = -d + 16. Calculate the remainder when (-20)/12*(b + -1) is divided by n(14).
1
Suppose 13*j - 146 = 11*j. Let f(d) = -d**2 + 23*d - 66. Calculate the remainder when j is divided by f(17).
1
Suppose -9*h + 3*a - 39 = -6*h, 2*a + 2 = 0. Let s(q) = q**2 + 11*q + 12. Calculate the remainder when 107 is divided by s(h).
53
Suppose -2*o + 0*o = -126. Let p(g) = 3*g**2 + 99*g - 172. Let d be p(-42). Let u = -949 + d. What is the remainder when o is divided by u?
11
Let b = -15528 + 16956. Calculate the remainder when b is divided by 10.
8
Let w(r) = 2*r**3 - 7*r - 17. What is the remainder when 556 is divided by w(3)?
12
Let i = -9 + 50. Let a = i - 32. Suppose -436 = -5*h + 3*j, 3*j + a = 6*j. Calculate the remainder when h is divided by 31.
27
Let t = -3614 + 3627. What is the remainder when 7643 is divided by t?
12
Suppose 0 = -j + o + 159, 3*j - 497 = -11*o + 10*o. Let h = j - 131. What is the remainder when h is divided by 5?
3
Let u = -2445 - -8715. What is the remainder when u is divided by 17?
14
Suppose 3*i - 255 - 210 = 0. Let h = i - -14. What is the remainder when h is divided by 19?
17
Let s = 224 + -222. Suppose -4*x - u + 79 = 20, -s = -x + 4*u. What is the remainder when 109 is divided by x?
11
Let w be 12/1*87/12. Let h = 129 - w. Calculate the remainder when 141 is divided by h.
15
Suppose 4*y = 23 + 25. Let g be 14/y + 1/(-6). Suppose -k + 4*r - 6 = g, r = 2*k. Calculate the remainder when 2 is divided by k.
0
Suppose 2*s + 117 = -5*u, -3*s - 158 = -5*u + 80. Let j = s - -301. Calculate the remainder when j is divided by 78.
74
Suppose -s + 850 = 2*p, 0 = s + 3*s + p - 3386. Let h = s + -721. Calculate the remainder when h is divided by 57.
11
Let q = 1153 - 740. Suppose -289*y = -5*p - 286*y + 118, -5*y = 5. Calculate the remainder when q is divided by p.
22
Let k(f) = -f**3 + 78*f**2 - 148*f + 1456. What is the remainder when k(76) is divided by 30?
20
Let d = -271 - -456. What is the remainder when d is divided by 62?
61
Suppose -5898*v - 365 = -5918*v + 1835. What is the remainder when 788 is divided by v?
18
Let a(k) = -k**3 - 17*k**2 + 85*k + 10. What is the remainder when 149 is divided by a(4)?
9
Let u = -4968 + 5014. What is the remainder when 288 is divided by u?
12
Let x be (0 + -6)*(-403)/39 + 1. Let o = 108 - x. What is the remainder when o is divided by 8?
5
Suppose 4*p - 7 - 1 = 0. Suppose 14*y - 7*y = 22*y - 2970. Suppose 0 = 2*m + 4*j - y, p*j = 3*m + 4*j - 297. What is the remainder when m is divided by 17?
14
Let g(o) = -9*o**2 + 2*o. Let d be g(2). Let b(s) = -2*s + 11. What is the remainder when d/10*(-20)/1 is divided by b(-6)?
18
Suppose -s = 2*h + 61, 30 = -3*h - 2*s - 61. Let l = 39 - h. What is the remainder when l is divided by 36?
34
Suppose 3*p + 0 = 27. Let k b