 the remainder when d(19) is divided by 41.
39
Let k(s) be the second derivative of -s**3/3 + 33*s**2/2 - 23*s. Calculate the remainder when 24 is divided by k(10).
11
Let w(o) = 296*o + 5. Let s be w(-1). Let u = 307 + s. Calculate the remainder when u is divided by 10.
6
Suppose -l + a + 1125 + 352 = 0, l = -a + 1469. Calculate the remainder when l is divided by 51.
45
Let m(d) = -10*d**2 - 73*d + 4. Calculate the remainder when (1310/6)/5 + 4/(-6) is divided by m(-7).
18
Calculate the remainder when 1160 is divided by 6*(-8)/48*(-51)/1.
38
Let j(f) = -1355*f - 13570. What is the remainder when j(-13) is divided by 44?
41
Let m(g) = g**2 - 8*g + 25. What is the remainder when 53 is divided by m(7)?
17
Suppose 2*k - 142 = -4*q, 3*k + 379*q - 218 = 378*q. Let i(z) = -2*z - 6. Let x be i(-4). What is the remainder when k is divided by ((-19)/2)/((-1)/x)?
16
Let k(q) = -q**3 + 7*q**2 - q + 6. Let u be k(7). Calculate the remainder when 109 is divided by ((-12)/u)/(39/182).
53
Suppose 16*m - 8090 = 3*m - 1265. What is the remainder when m is divided by 66?
63
Calculate the remainder when (-2 - 1) + 34081/173 is divided by 33.
29
Let b(k) = -43*k + 350. Suppose 3*g - 4*t = 20, -5*g + 19 = 5*t - 26. Calculate the remainder when 62 is divided by b(g).
2
Let x be 4*(21/28)/(6/4). What is the remainder when (-40)/(-16) + 3/x + 11 is divided by 4?
3
Let l(x) = 2*x**2 - 9*x - 13. Let t = -6 - -11. Suppose 69 = 5*w + n, 0*n - n = -t*w + 71. What is the remainder when l(10) is divided by w?
13
What is the remainder when 2548 is divided by (34/5)/((((-256)/(-50))/(-16))/(-4))?
83
Let v = -56 - -3. Let y = v - -57. Calculate the remainder when (-5130)/(-18)*(y/(-6) + 1) is divided by 12.
11
Calculate the remainder when 172 + (-13 + 33 - 6) is divided by 54.
24
Suppose f - 2218 = -3*g, 3*g = 4*g - 3*f - 746. Calculate the remainder when g is divided by 14.
12
Suppose 2 = -0*n + 2*n, -179 = -4*z + 5*n. Let m(g) = 2*g**3 - 8*g**2 + 17*g - 3 + 25*g**2 - 3*g**3 + 29. Calculate the remainder when z is divided by m(18).
6
Suppose -4*n + 18 = -4*t - 6, -5*n + 28 = -4*t. Suppose n*j = 1184 - 440. Calculate the remainder when j is divided by ((-78)/(-104))/(6/376).
45
Let t = -1509 + 2916. Calculate the remainder when t is divided by 1/3 - (-28296)/648.
43
Let d(t) = -4*t + 67. Suppose 4*n - 3*v = 214, 3*n - 2*v - 2*v - 157 = 0. Calculate the remainder when n is divided by d(15).
6
Let m(w) = -7*w**3 - 4*w**2 + w + 10. Let f be m(-2). Calculate the remainder when f + (16/32 - (-5)/2) is divided by 92/5 - 6/15.
15
Suppose 4*j + 3*l - 7509 = 0, 3*j = 7*l - 12*l + 5640. Calculate the remainder when j is divided by 3.
0
Suppose -5*u + 60 = -5*s, -3*u + 11*s + 31 = 7*s. Calculate the remainder when 2328 is divided by u.
16
Suppose 5*d - 6261 = -3*c, -488*c + 485*c - 3771 = -3*d. Calculate the remainder when d is divided by 8.
6
Suppose 3*d - 4*q - 38 = 0, 0 = 3*d - 436*q + 437*q - 73. What is the remainder when 2870 is divided by d?
10
Suppose 56 = -6*l + 10*l. Suppose 0 = -k - 3*i - i + 4, -i - l = -k. Let s = 58 + k. What is the remainder when s is divided by 19?
13
Let r(w) = -w + 18. Suppose 6*x = -4*q + 740, -87*x = -90*x - 4*q + 386. What is the remainder when x is divided by r(-13)?
25
Let x(a) = -a**3 - 10*a**2 - 31*a - 134. What is the remainder when x(-17) is divided by 38?
22
Let t = -51 - -69. Suppose t*v - 630 = 486. Suppose -2*n = 5 - 39. Calculate the remainder when v is divided by n.
11
Suppose -204 - 74 = -2*j. Let w = -5783 - -5797. Calculate the remainder when j is divided by w.
13
Suppose -7927 + 4570 - 5904 = -49*b. What is the remainder when b is divided by 42?
21
Let h(p) = -p**3 - 11*p**2 - 10*p - 10. Let v be h(-8). Let s = v + 40. Calculate the remainder when (s/5)/((-4)/10) is divided by 11.
8
Suppose 3*f - 12 = 0, 4*p = -4*f - 45 + 157. Suppose -2*u - 2*i = 2*i - 18, 20 = 2*u + 3*i. What is the remainder when p is divided by u?
11
Let v(l) = 67*l**3 + 6*l**2 - 26*l + 25. Suppose 7*j - 3*j - 116 = -4*w, -w = -4*j - 29. What is the remainder when v(1) is divided by w?
14
Suppose -12098 = -15*h - 348*h + 72118. What is the remainder when h is divided by 76?
4
Suppose -15*l + 464 = -151. Suppose 0 = -3*n + 7*n. Suppose n = 11*c + 3*c - 154. Calculate the remainder when l is divided by c.
8
Suppose -3*d = -6*d + 39. Suppose -3*n + 9 = -2*c - c, -2*c + 22 = 5*n. Let b(i) = 38*i - 2. What is the remainder when b(c) is divided by d?
10
Suppose 146*u - 150*u = -124. Suppose 0 = -6*y + 17 + u. What is the remainder when 239 is divided by y?
7
Suppose b - 5*f = 22, 4*b = 4*f - 1296 + 1464. What is the remainder when 111 is divided by b?
17
Suppose 371*c + 216*c - 33071 = -1029*c + 25105. Let z(t) = 23*t + 5. What is the remainder when z(4) is divided by c?
25
Let l(c) = 993*c + 53. What is the remainder when l(1) is divided by 211?
202
Let i(n) = 39*n**3 + 8*n**2 - 4*n + 1. What is the remainder when i(2) is divided by 26?
25
Suppose r = -f - 1, -4*f - 3*r - 3 = -0*r. Let q(u) = -u**3 - 2*u**2 - 2*u + 36. What is the remainder when 142 is divided by q(f)?
34
Let a = -4488 + 4633. Calculate the remainder when 560 is divided by a.
125
Let k = 65 + -95. Suppose 3*c + 15 - 66 = 0. What is the remainder when (-536)/(-18) + k/(-135) is divided by c?
13
Suppose 2*x - c + 353 = 0, 2*x + 0*c - 4*c + 368 = 0. Let i = x - -240. Calculate the remainder when 129 is divided by i.
63
Suppose -2*v - 408 = 4*d, -3*v - 612 = 6*d - 8*d. Let g = v + 315. What is the remainder when g is divided by 50?
11
Suppose -3*g + b + 63 = 0, -5*b - 12 - 43 = -2*g. Let u be 0/((0 + 2/2)/(-1)). Suppose u = -a - 12 + 69. What is the remainder when a is divided by g?
17
Suppose 790*m - 395*m + 4059 = 398*m. Calculate the remainder when m is divided by 14.
9
Suppose 9*p + 8*p - 493 = 0. Calculate the remainder when ((-168)/(-32))/(-21) - 193/(-4) is divided by p.
19
Suppose 5*h + c - 1495 = 0, -2*h + c = 95 - 700. Suppose 139 = 5*y + 1204. Let n = y + h. What is the remainder when n is divided by 30?
27
Let k(m) = 2*m - 43 - 2*m + 7*m**2 - 4*m**2 - m**2 + m. What is the remainder when 26 is divided by k(-5)?
0
Let p(v) = -v - 1. Let l(s) = -5*s - 17. Let z(d) = -l(d) + 6*p(d). Let u be z(6). Suppose -18*y + 1209 = -u*y. What is the remainder when y is divided by 48?
45
Suppose -3*q + 16*q - 11*q = 214. What is the remainder when 398 is divided by q?
77
Suppose -5*b - 5*z + 0 = -45, -2*b - 17 = -5*z. Suppose -13*n + b*n + 189 = 0. Calculate the remainder when 31 is divided by n.
10
Suppose -69*u = -5672 - 2815. What is the remainder when 746 is divided by u?
8
Let h(r) = -r**2 - 9*r - 5. Calculate the remainder when 3 - -4 - (-45 + (0 - 3)) is divided by h(-4).
10
Suppose 11*p - 15*p + 16 = 0. Let v = -8 + p. Calculate the remainder when 38 is divided by 12/9*(-42)/v.
10
Let i(x) = 31 - x - 4*x + 2*x + x. Let w be i(14). Suppose w*y - 461 = 178. Calculate the remainder when y is divided by 27.
24
Let i be (-6)/9 - 174390/(-9). Let t be (1/(-2))/((-28)/i). Suppose -5*s + 0*o - 3*o = -564, -t = -3*s + 2*o. What is the remainder when s is divided by 39?
36
Let b = -120 + 246. Let w = b + -106. Let x = -42 + 81. Calculate the remainder when x is divided by w.
19
Let m = 855 - 753. Calculate the remainder when m is divided by 37.
28
Suppose 2 = -2*g + 22. Let d(z) = 5*z + 50. Let n be d(-10). Suppose 2*f - 6*f + 36 = -3*j, -3*j = n. Calculate the remainder when g is divided by f.
1
Let i be (-3 - -4) + 3 + -6 + 265. Let a = i - 157. Let c(r) = -2*r**2 - 24*r - 12. What is the remainder when a is divided by c(-10)?
22
Let f = 10460 + -9562. Calculate the remainder when f is divided by 226.
220
Suppose 7*t - 2*t = 2*j + 90, 0 = 4*t - 2*j - 74. Let l(n) = 20*n**3 - 3*n + 3. Let u = -53 + 55. Calculate the remainder when l(u) is divided by t.
13
Suppose 8261 + 2717 = 22*r. Calculate the remainder when r is divided by (1 + 20)/((-39)/(-78)).
37
Let i(h) = h**3 - 31*h**2 - 34*h + 76. Suppose -8*u = -3*u - 760. Suppose u = z - 26. What is the remainder when z is divided by i(32)?
10
Calculate the remainder when (-7105)/(-2842)*((0 - -99) + -1) is divided by 243.
2
Let i(g) = 22*g + 441. Let k be i(-7). Suppose k*a = 290*a - 573. Calculate the remainder when a is divided by 43.
19
Suppose -6*o + 5*u 