cond derivative of i**5/20 - i**4/2 - 5*i**3/2 + 57*i**2/2 + 171*i + 1. What is the remainder when d(9) is divided by 84?
81
Suppose 0 = -d - 2*c + 291, 121 = -d - 5*c + 409. Calculate the remainder when d is divided by 10.
3
Let d(y) = -63*y - 122. Calculate the remainder when d(-15) is divided by 19.
6
Let u(r) = -1. Let t(v) = v**2 - 2*v + 1. Let d(f) = -t(f) + 4*u(f). Let w be d(3). Let b(o) = -4*o - 11. What is the remainder when 40 is divided by b(w)?
19
Let p = -6927 - -6988. Calculate the remainder when p is divided by 13.
9
Suppose 2420 = 8*r - 116. Calculate the remainder when r is divided by -3 - (-46)/14 - 414/(-21).
17
Suppose -q = q - 10. Suppose -2*n - q + 11 = 0. Calculate the remainder when 50 is divided by ((-8)/n - -3)/(1/33).
6
Suppose 0 = -5*d + b + 196, 3*b + 161 = 4*d - 2*b. Suppose -6*i + 0*i - 18 = 0. Calculate the remainder when d is divided by (i + 1)/((-7)/49).
11
What is the remainder when 2602 is divided by (-9)/60 - (-1846)/40?
26
What is the remainder when (-184002)/(-156) - ((-5)/2 + 2) is divided by 77?
25
Let o = 2359 + -1733. Calculate the remainder when o is divided by 4.
2
Suppose -2*h + 4*b + 86 = 3*b, -h + 43 = -5*b. What is the remainder when 188 is divided by h?
16
Suppose 2*z = -h + 4*z - 12, -2*h - 49 = z. Let x(f) = f**3 + 22*f**2 - f - 7. Let g be x(h). Let t = 19 - g. What is the remainder when 23 is divided by t?
3
Let n = 73 - 70. Suppose 410 = n*k + 65. What is the remainder when k is divided by 12?
7
Let w(b) = b**2 + 15*b - 3160. Calculate the remainder when w(52) is divided by 192.
132
Let d be (-1 - 2) + (-6)/3*48. Let f = d + 36. Let s = -49 - f. What is the remainder when 66 is divided by s?
10
Let j(d) = d**3 + 4*d**2 - 3*d + 4. Let k = 103 + 833. Suppose 0 = 86*t - 74*t - k. Calculate the remainder when t is divided by j(-4).
14
Let r = -1371 - -1514. What is the remainder when r is divided by 48?
47
Suppose -2802*i = -2826*i + 30528. Calculate the remainder when i is divided by 14.
12
Let z(m) = 6*m + 24. Let r be z(-4). Suppose -2*u = 4*n - 170, r*u = -4*u + n + 376. What is the remainder when u is divided by 14?
9
Let w = -48 + 47. Suppose 3*m + 24 + 3 = 3*v, -m + 3 = 0. What is the remainder when -3 - w - (-21 + -25) is divided by v?
8
What is the remainder when (0 - ((-256625)/(-35) + 3))/((-3)/21) is divided by 44?
42
Suppose -2*j + 507 - 503 = 0. Suppose 4*l + 3*g = 259, g = -j*l + 4*g + 107. Calculate the remainder when 303 is divided by l.
59
Suppose -3*n = -8*n + 275. Suppose -2*q - 5*k = q - n, -q = -k - 29. Suppose 4*s + 4 - 32 = 0. What is the remainder when q is divided by s?
4
Let y(f) = -453*f - 3034. What is the remainder when y(-7) is divided by 22?
5
Let w = 24626 - 24183. What is the remainder when w is divided by 37?
36
Let i = -2701 - -2723. What is the remainder when 130 is divided by i?
20
Suppose -2*m - 6*n + 3*n = -668, -3*n = 0. Let g = m - 180. Calculate the remainder when g is divided by 39.
37
Let b = -81 - -114. Let h(x) = -14*x**2 - 5*x - 5. Let l be h(-7). Calculate the remainder when ((-24)/(-16))/((-6)/l) is divided by b.
32
Let c = 36 - 59. Let k = c + 30. Suppose 3*d - 1 = 38. Calculate the remainder when d is divided by k.
6
What is the remainder when 2 - ((-45)/(-2))/(9*(-28)/10584) is divided by 48?
35
Let o(f) = -23*f**2 - 1. Let l be o(-1). Let g = l + 43. Let c(a) = -24*a + 213. Calculate the remainder when c(6) is divided by g.
12
Suppose 0 = 4*c - 8, 5 = 2*x + 3*x - 5*c. Suppose -x*w + 0 + 45 = 0. Calculate the remainder when w is divided by 3 + 1 + -4 + 4.
3
Let l(t) = -t**2 + 13*t + 15. Let r be l(11). Let m be (-32 - -7)*1 - (-3 - -3). Let p = m + r. What is the remainder when 20 is divided by p?
8
Suppose 3*k = 4*t + 218 + 11, 380 = 5*k - 5*t. What is the remainder when k is divided by ((-2 - 24)/2)/(-1)?
10
Suppose -4*z = -3*j + 1064, -9*j + 5*j = -z - 1397. Calculate the remainder when j is divided by 32.
28
Suppose 4*o - 2*u = 1636, -2*o - 2*u = -0*u - 836. Calculate the remainder when 456 is divided by o.
44
Suppose -60*j - 85*j - 2*j = -17346. Calculate the remainder when 659 is divided by j.
69
Suppose -3*v - 7*i + 116 = -64, 2*i = 3*v - 207. What is the remainder when 2880 is divided by v?
66
Suppose -14*n + 56569 = -12199. Calculate the remainder when n is divided by 18.
16
Let u = -414 - -730. Calculate the remainder when u is divided by 53.
51
Let d(l) be the first derivative of l**3/3 - 5*l**2/2 + 31*l - 70. What is the remainder when 95 is divided by d(6)?
21
Suppose -o = 2*o - 252. Calculate the remainder when o is divided by (4 - -36) + 4*5/((-35)/14).
20
Suppose -15 = -3*n + 72. Suppose r = v - n, -v - 31 = 3*r + 68. What is the remainder when 28 is divided by 21/(-6)*r/14?
4
Let r(f) = -57*f + 160. Let c be r(2). What is the remainder when 162 is divided by 6/6*(-2 + c/2)?
15
Let a(f) = 14*f**2 + f. Let b = 223468 - 223424. What is the remainder when a(-3) is divided by b?
35
Let r(t) = -t**2 - 11*t + 88. Let m be r(-16). Let s(v) = v**3 - 5*v**2 - 15*v + 13. What is the remainder when s(m) is divided by 8?
5
Let g(q) = 24*q - 226. What is the remainder when 1173 is divided by g(10)?
11
Let b(w) = -2*w**3 - 16*w**2 - 27*w - 6. Let q be b(-6). Suppose 20*f + q = 22*f. Calculate the remainder when f is divided by 3.
0
Suppose -m - 6 = 2*m, -4*m = -4*k + 2128. What is the remainder when k is divided by 65?
10
Suppose 0 = 3*o - 5*h - 509, -673 = -2*o - 2*o + h. Let u = -158 + o. Suppose 3*g - 180 + 63 = 0. What is the remainder when g is divided by u?
9
What is the remainder when (3*3)/(10/((-8000)/(-60))) is divided by 65?
55
Suppose h = 33 - 30. Suppose -4*j - 3*z = -3*j + 4, 0 = -4*j + h*z + 44. Let i = 15 - j. What is the remainder when 26 is divided by i?
5
Suppose -1188 = -2*k + 5*g, -2*k - g + 1921 - 685 = 0. What is the remainder when k is divided by 77?
75
Let y be 4645/(-4) + (0 - (-2)/8). Let z = -724 - y. Suppose 5*b + g = 400, -4*b + 5*g + z - 88 = 0. Calculate the remainder when b is divided by 17.
13
Let y = 1927 + -1169. Let i = -721 + y. Calculate the remainder when 108 is divided by i.
34
What is the remainder when (2/(-3) - ((-14)/4 + 3))*-12594 is divided by 84?
83
Suppose 7 = 8*k - 7*k. Suppose 17*z - 360 = k*z. Calculate the remainder when z is divided by -38*1/(-4)*2.
17
Suppose -84*j + 94089 = -5*j. What is the remainder when j is divided by 93?
75
Let p(r) = 7*r**2 + 11*r - 21. Let m be p(-7). Let w = -164 + m. What is the remainder when w is divided by 79?
2
Let v(z) = z**2 - 169*z - 1545. Let k(h) = h**3 - 9*h**2 - 6*h - 14. Calculate the remainder when k(11) is divided by v(-9).
48
Suppose 2*i + 1516 = -39*i + 16973. Calculate the remainder when 1236 is divided by i.
105
Let y = -1771 - -1887. Calculate the remainder when 1265 is divided by y.
105
Let r be (-170)/(-40) + 7/(-28). Let m(k) = 12*k + 174. What is the remainder when m(r) is divided by 23?
15
Suppose -8 = -2*y - 4*n, -y - 5*n = 3*y - 16. Let f = 147 - 70. Suppose 0 = y*j - f - 471. What is the remainder when j is divided by 36?
29
Suppose -2*d - 76 = -2*o, 0 = 3*o - 37*d + 38*d - 134. Let i = 253 + -82. What is the remainder when i is divided by o?
42
Let s = 176 - 168. Suppose -4*d = -172 + 24. Let g = s + d. What is the remainder when g is divided by 8?
5
Let l = 8952 - 8900. What is the remainder when 485 is divided by l?
17
Suppose -5*n = 2*i + i - 7, 3 = -3*n. Let b(s) = 4*s - 2. Let t be b(6). What is the remainder when 1272/t - i/(-22) is divided by 12?
10
Suppose 3*x - 5*x + 14 = -3*z, 2*x + z - 22 = 0. What is the remainder when (-3)/5 - (-4 - 6743/55) is divided by x?
6
Let t(o) = 10*o**2 + 173*o - 2020. What is the remainder when t(12) is divided by 108?
92
Let u be 22728/38 + (140/190)/(-7). Let d = u + -460. What is the remainder when d is divided by 30?
18
Let m(a) = -a**3 - 12*a**2 + 25*a - 41. Let o be m(-14). Suppose -3*y + p + 34 = 0, -2*y + 2*p + 17 - o = 0. What is the remainder when 24 is divided by y?
11
Let c(b) = -b**3 - b**2 + 4*b + 13. Let n be c(0). Suppose 0 = -w, -n*a = -8*a + 2*w - 20. Calculate the remainder when 38 is divided by a.
2
Suppose -4*h - 15*p + 116 = -11*p, 0 = 5*h + p - 133. Let a(i) = 8*i + 174. What is the remainder when a(h) is divided by 32?
30
Suppose 0 = c + 3*m - 6, -5*c - 24*m + 43