the first derivative of n**2/2 - 5*n - 5. Let u be g(0). What is the remainder when 41 is divided by 21/(2 + u/10)?
13
Suppose -337*p + 29444 = -282597 - 680761. Calculate the remainder when p is divided by 29.
17
Suppose -3*o + 75 = 5*l - 41, 3*o - 2*l = 109. Suppose -13*z + o = -405. Calculate the remainder when z is divided by 10.
4
Let c = -139 + 258. Suppose 5*a + 44 - c = -4*f, 0 = -2*a - 10. Suppose -f - 2 = -3*v. Calculate the remainder when 16 is divided by v.
7
Suppose 0 = 7*h - 4*h - 171. Calculate the remainder when h is divided by -1*820/(-28) + 4/(-14).
28
Let r(l) = 13 - 5 - 6 - l. Let y be r(0). Suppose -2*b - d + 29 + 195 = 0, -212 = -y*b + 5*d. Calculate the remainder when b is divided by 29.
24
Let c(v) = v**2 - 10*v + 29. Let u be c(6). Suppose u*m = r + 76, -3*r = m + 3*m - 76. Calculate the remainder when 0 + 63 - (1 - -1) is divided by m.
13
Suppose 0*h - 7*h + 169 = 6*h. What is the remainder when 3314 is divided by h?
12
Let r be 2 + 3/(-6)*4. Suppose 0*k - 2*k + 10 = r. Suppose 2*z + 96 = k*z. Calculate the remainder when 61 is divided by z.
29
Let h(y) = y**2 + 3*y + 3. What is the remainder when 475 is divided by h(-5)?
7
Let h(x) = -x**3 - 2*x**2 + 14*x + 254. What is the remainder when 448 is divided by h(0)?
194
Let r = 735 - 697. What is the remainder when r is divided by ((-2)/(-4))/((-6)/(-84))?
3
Let b = 134 + 45. What is the remainder when b is divided by 18 - 32/(-6)*15/(-20)?
11
Let s(n) = -36*n - 10. Let b be s(-18). Suppose -b*a = -642*a + 36. What is the remainder when 133 is divided by a?
7
Let a(o) = o**3 - 78*o**2 - 775*o - 608. What is the remainder when 2381 is divided by a(87)?
5
Let u(v) = -v**3 - 13*v**2 - 2*v + 67. Let d be u(-14). Suppose -39 + d = 7*i. Calculate the remainder when 467 is divided by i.
35
What is the remainder when 225 is divided by -10 - (107/214 + (-207)/2)?
39
Suppose 61*n = 2*l + 56*n - 80, 0 = 2*l - 2*n - 86. Calculate the remainder when 1932 is divided by l.
42
What is the remainder when 322480/230 - 8/92 is divided by 182?
128
Let t = 1 - -14. Suppose t*r - 7*r - 520 = 0. Calculate the remainder when r is divided by 22.
21
Let a be 3*(-2 - (-50)/15). Suppose -n = 1, -a*w = -4*n - 436 + 84. Suppose 54*s - 51*s = w. Calculate the remainder when s is divided by 5.
4
Let y(b) = -12*b**3 - 89*b**2 - 38*b + 5. Calculate the remainder when 1588 is divided by y(-7).
2
Suppose -2*g - 4 + 6 = -y, -5*y + 8 = -g. Suppose 2*b - 10 + y = 0. Calculate the remainder when 146/4 + (18/b - 4) is divided by 20.
17
Let g = 156 + -180. What is the remainder when (g/(-16))/(1/166) is divided by 51?
45
Let j(q) = -189*q - 42. Let c be j(-10). Calculate the remainder when 1 + -7 - c/(-24) is divided by 31.
9
Let o(r) be the first derivative of 6*r**2 + 4*r - 5. Let y be o(2). Let g = -25 + y. Calculate the remainder when 4 is divided by g.
1
Let x(b) = 3*b**2 - 4*b + 5. Let p = -2904 - -2917. What is the remainder when x(5) is divided by p?
8
Let g = 13 + 20. Suppose g = n - 4. Calculate the remainder when (-52)/(-130) - 1446/(-10) is divided by n.
34
Let l(j) = 2*j**3 - 4*j**2 + 6*j - 5. Let c be l(2). What is the remainder when 20 + 10/(2 - c) is divided by 17?
1
Let x(b) = b**2 + 13*b - 7. Calculate the remainder when x(16) is divided by 29.
22
Let j = 708 - 412. Suppose -38*n + 1208 = j. Suppose 2*t = 4*f - 4 + 130, -4*t + 2*f + 276 = 0. Calculate the remainder when t is divided by n.
23
Let z(w) = w**3 + 8*w**2 - 9*w - 15. Let t be z(-9). What is the remainder when 75 is divided by (-396)/t + 2/(-5)?
23
Suppose 6*s - 12*s - 120 = 0. What is the remainder when 347 is divided by (1 + (89 - 3))/((-30)/s)?
57
Suppose 0 = n + 5*y - 19, -2*n - 4*y + 9 = -11. Suppose -2*s + 289 = 3*a - 6*s, 5*a - 535 = -n*s. Calculate the remainder when a is divided by 5*6 + 8 + -11.
22
Let k = -7267 - -26415. Calculate the remainder when k is divided by 133.
129
Calculate the remainder when 553 is divided by (1925/(-231))/(5/(-18)).
13
Let z = -48 - -58. Suppose 4*g - z*g = -54. What is the remainder when 140 is divided by g?
5
Suppose -34*q + 46135 = 21*q - 44780. What is the remainder when q is divided by 10?
3
Suppose -2*o - a = -138, -43*a + 44*a = 4*o - 264. Suppose 11*q - 2460 = -q. What is the remainder when q is divided by o?
4
What is the remainder when 1*1/(-9) - 88839176/(-16488) is divided by 17?
16
Let f = -90 + 237. Calculate the remainder when f is divided by (-11)/(-7*451/8610).
27
Let s(g) be the first derivative of -g**3/3 + g**2/2 - 3*g + 1. Let q be s(-2). Let x = q + 23. What is the remainder when 54 is divided by x?
12
Suppose 3*t - 4*t - 2 = 0, -r = -5*t - 30. Suppose -6*g + 106 = -r. Calculate the remainder when g is divided by 14.
7
What is the remainder when 1229/8 - (155/(-8) + 19) is divided by 12?
10
Let u be -20*(-1*4 - (-7)/2). Let j(a) = a**2 + 5*a - 10. What is the remainder when j(u) is divided by 72?
68
Suppose -5*s - h = -139, 113 = 4*s + 843*h - 844*h. Let d = -9 + 16. Calculate the remainder when s is divided by d.
0
Calculate the remainder when -5 + 6573/14 - 6/(-12) is divided by 43.
35
Suppose -57*p + 8*p = -2450. Calculate the remainder when 898 is divided by p.
48
Let q be (-17 - -17) + (2 - -42). Suppose -2*m = -4*f - q, 5*f - 10*f = -5*m + 90. Calculate the remainder when 165 is divided by m.
11
Suppose 3*c + 2*a - 297 = 0, -4*c - 4*a = c - 493. Let j = -14106 + 14132. Calculate the remainder when c is divided by j.
23
Let d be (-42)/273 - (-134)/26. Suppose -3*t - 147 = 8*n - 10*n, d*t = -4*n + 261. Suppose -22 = -2*g + 2. Calculate the remainder when n is divided by g.
9
What is the remainder when 243 is divided by (59/((-1829)/124))/((-2)/48)?
51
Let g(a) = 15*a + 499. What is the remainder when g(-28) is divided by 7?
2
Let g(i) = 4*i**3 - 51*i**2 - 6*i - 65. Calculate the remainder when 198 is divided by g(13).
16
Let b = -14 + 11. Let g = b - -19. Let s(z) = 2*z**3 - 4*z**2 - 2*z + 6. Calculate the remainder when s(4) is divided by g.
14
Suppose 4*u = 7*u - 228. Suppose 11*x - 1507 = -0*x. Let z = -124 + x. Calculate the remainder when u is divided by z.
11
Let f = 76 + -63. Suppose 17*s = f*s + 48. Suppose -149 + 1145 = s*q. Calculate the remainder when q is divided by 28.
27
Suppose 2*t - 23 - 14 = 3*o, 105 = 5*t + 5*o. Suppose -2*r = -4*r + t. What is the remainder when r is divided by (7 - -3*(-110)/60)/((-6)/(-16))?
2
Suppose 60*p - 77*p = -1496. Let d = p - 50. Suppose -2*f + 227 = -f. What is the remainder when f is divided by d?
37
Let t(n) = 5*n + 1. Suppose g + 24 = 17. Let o = g - -12. What is the remainder when 50 is divided by t(o)?
24
Let w be 3*105/((-5735)/(-1302) - (-4)/42). Suppose -5*v - 2*s = 2*s + 4, v - s - 1 = 0. Suppose v*t = -7*t + w. What is the remainder when 16 is divided by t?
6
Let y(i) = 23*i**3 - 2*i**2 + 1. Let x = 1553 + -1565. What is the remainder when (135/x)/(4 + (-303)/72) is divided by y(1)?
10
Let u(c) = 54*c + 81. Let y be (-1 + -9)*(4 - (-5 + 10)). Calculate the remainder when u(y) is divided by 26.
23
Suppose 87*k = 79*k + 240. Calculate the remainder when 30 is divided by k.
0
Let b be 3 - (1 - 6/3). Suppose -3*t = 5*y - 15, -3*t + 45 = -y - b*y. Calculate the remainder when 19 is divided by t.
9
Let x(l) = 47*l - 12. Calculate the remainder when x(6) is divided by (-8)/10 + (-2295)/(-25).
88
Suppose 0 = -16*c - 10744 + 3320. Let b = c + 474. Suppose 5*q = -s + 293, q + 4*s = -4*q + 287. Calculate the remainder when q is divided by b.
9
Let w(y) = 4*y + 110. Let n(t) = -t**3 - 28*t**2 - 28*t - 51. Let g be n(-27). What is the remainder when 25 is divided by w(g)?
11
Let t(f) = f**3 + 7*f**2 + 6*f + 2. Let s be t(-4). Let b = -67 + s. Let z = b + 90. Calculate the remainder when z is divided by 17.
15
What is the remainder when 1196 is divided by (-152)/(-6)*(-9)/(-4)?
56
Let h = -21232 + 21804. Calculate the remainder when h is divided by 556.
16
Suppose -8*f - 316 = -4*f. Suppose -12*h + 0*h - 1296 = 0. Let w = f - h. Calculate the remainder when w is divided by 10.
9
Let c = 135 - -15. What is the remainder when 7/(-5*(-3)/c) is divided by 36?
34
Let i(d) = 2*d**3 + 201*d**2 - 138*d - 473. Calculate the remainder when i(-101) is divided by 86.
82
Let n(g) be the third derivative of -3*g**4/8 - 11*g**3/3 + 62*g*