4. Let a be r(-6). Let p = 8 - a. Let l(j) = 9*j**2 + 3*j + 1. What is the remainder when l(p) is divided by 17?
14
Suppose 18*o + 3*o = 21924. Let r = o + -989. Let d = -16 + 24. What is the remainder when r is divided by d?
7
Calculate the remainder when ((-152)/14)/((-213)/5964) is divided by 29.
14
What is the remainder when (13606/8)/(210/(-180)*(-3)/14) is divided by 5?
3
Suppose -2*t = -d - 2224, -4*d + 512 = 3*t - 2813. What is the remainder when t is divided by 73?
16
Suppose -4*q - 360 = -y - q, -y + 364 = -2*q. Suppose 2*t - 4*l = -0*l + 256, 2*l + y = 3*t. Calculate the remainder when t is divided by 27 + (2 - 3) + -1.
22
Suppose -4*u - 5*l + 44 = 0, 4*l = 5*u + 9*l - 60. Suppose -c = 3*c + 32. Let p = c + u. Calculate the remainder when 15 is divided by p.
7
Suppose 2*t - 1870 = -5*f, f - 6*t - 352 = -2*t. Let k(n) = -8*n**2 + 0*n**3 - n - n**2 - 2*n**3 - 354 + f. What is the remainder when 12 is divided by k(-4)?
0
Calculate the remainder when 1018 is divided by (-690)/(-5290) + 46362/46.
10
Let f = -2344 - -2358. Calculate the remainder when 79 is divided by f.
9
What is the remainder when 2389 is divided by (2 - -88) + -10 + 8?
13
Let n(c) = c**2 - 51*c + 119. Let k be n(31). Let w = k + 517. Calculate the remainder when 186 is divided by w.
10
Suppose 16 = -3*p + 4*z, -4*p + z = -17 + 21. Suppose p = 20*g - 611 - 329. What is the remainder when 142 is divided by g?
1
Suppose 0 = -5*n - 3*a + 112, 2*n + 3*a - 43 = -0*n. Let c = n - 6. Suppose 19*r + 195 = 1126. Calculate the remainder when r is divided by c.
15
Let b(k) = 5*k - 3. Let a = 127 - 119. Calculate the remainder when b(3) is divided by a.
4
Let g(m) = -17*m + 45. Let h be g(12). Let z = 100 + h. Let k = z + 82. Calculate the remainder when k is divided by 5.
3
Suppose 9*f - 224 = 3*o + 4*f, f = -4*o - 291. Let u = o - -78. Suppose 2*c = 31 - u. What is the remainder when 51 is divided by c?
12
Suppose -73*s + 83*s - 30 = 0. Suppose u + 0*x - 132 = -s*x, 5*x - 396 = -3*u. Calculate the remainder when u is divided by 28.
20
Let x(w) = -22*w + 212. Calculate the remainder when 407 is divided by x(5).
101
Calculate the remainder when ((-116)/(-8))/((-28)/19 - 45/(-30)) is divided by 3.
2
Let o be (-50)/7 + 7 - (-192)/21. Suppose 5*z - 130 = -4*f, 3*z - 78 = o*f - 6*f. Let u(n) = 11*n**2 + 3. Calculate the remainder when u(-3) is divided by z.
24
Let j = 66721 + -66614. What is the remainder when j is divided by (13 - 1)*(-1)/(-2)?
5
Let t(m) = -m**3 - 21*m**2 - 21*m - 17. Let h be t(-20). Suppose 0 = -3*n - h*c + 8*c + 254, 3*c + 3 = 0. Calculate the remainder when n is divided by 45.
38
Let j(g) = -9*g - 59. Let c be j(-7). Suppose -384 = -4*x - c*x. Calculate the remainder when x is divided by 14.
6
Let c = 240 - 13. Let n = c + -170. What is the remainder when n is divided by 29?
28
Let m(g) = g**2 - 8*g - 9. Let j be m(9). Suppose -3*f + 2*f + 76 = j. Suppose -428 - f = -4*c. Calculate the remainder when c is divided by 32.
30
Suppose 641 = 6*j - 955. Suppose -26*x = -2334 - j. What is the remainder when x is divided by 18?
10
Let x(f) be the third derivative of f**4/24 - f**3/3 - 19*f**2. Let k be x(0). What is the remainder when 493/11 - (k - 20/(-11)) is divided by 13?
6
Suppose -10*j - 7*v - 109 = -15*j, j - 3*v = 33. Calculate the remainder when 92145 is divided by j.
9
Let c = -414 - -447. What is the remainder when 2758 is divided by c?
19
Let f = -801 - -827. What is the remainder when 4548 is divided by f?
24
Let b(r) = -71*r - 7. Let x be b(2). Let i = x + 138. Calculate the remainder when 9 is divided by ((-308)/6)/i + 2/6.
4
Let w(o) = 235*o**2 - 6*o + 5. Let v be w(1). Let s = v - 199. What is the remainder when s is divided by (-4)/(-6) + (-55)/(-3)?
16
Let w = 3283 + -3247. What is the remainder when 78 is divided by w?
6
Suppose 8*p = 137 + 919. Suppose -o + 4*r + p = 0, 5*o + 4*r - 560 = -r. What is the remainder when o is divided by 30?
26
Let y(o) = 0*o**2 + 3*o**2 - o**2 + o. Let p = -33 + 36. Calculate the remainder when p is divided by y(-1).
0
Calculate the remainder when 634 is divided by (-2)/(11/(-946)*5)*(1 + 4).
118
Let f = -41 + 37. Let z be 17/f - (-11)/44. Let t(v) = 8*v**2 + 3*v + 7. What is the remainder when t(z) is divided by 31?
30
Let b(d) = -3*d**2 - 115*d - 23. Let x be b(-29). Let o = -740 + x. Calculate the remainder when o is divided by 30.
19
Let z(p) = -4*p + 17. Let d(o) = -3*o + 17. Let a(b) = 5*d(b) - 4*z(b). What is the remainder when a(13) is divided by 20?
10
What is the remainder when 835 is divided by 45 + (-2 - 1)/((-573)/(-2101))?
19
Let p = -33360 - -35123. What is the remainder when p is divided by 584?
11
Let z = 156 + -68. Let n be (10/(-6) + 3)/((-3)/153). Let u = n + z. Calculate the remainder when u is divided by 16.
4
Let i(k) = k**3 - 17*k**2 + 64*k - 12. What is the remainder when 305 is divided by i(12)?
17
Suppose -2*v - 176 = -6*v. Let y = 152 + -148. Suppose -v = y*t - 8*t. Calculate the remainder when 14 is divided by t.
3
Let r(b) = 4*b**2 - 42*b - 10. Let h be r(11). Let z(w) = 33*w - 366. Calculate the remainder when z(h) is divided by 14.
2
Suppose 108*q = -5*u + 105*q + 2348, 8 = -2*q. Calculate the remainder when u is divided by 471.
1
Suppose -11730*s = -11726*s - 2232. Calculate the remainder when s is divided by 77.
19
What is the remainder when 647 is divided by 11 + 58 + 210/(-21)?
57
Let l = 3847 - 3825. Let f(t) = -8*t + 6. Let n be f(4). Calculate the remainder when l is divided by n*2/(-12)*3.
9
Let k = 15 - 10. Suppose -3*c = -2*g + 21, g = -4*c + k - 0. Let j(s) = -s**3 + 5*s**2 + 103*s - 556. Calculate the remainder when j(6) is divided by g.
8
Let j = -328 + 356. Let p = 13 - 22. Let r = p - -24. What is the remainder when j is divided by r?
13
Suppose -3*d + 2*a + 228 = 0, d + 143*a - 141*a = 68. What is the remainder when d is divided by 19?
17
Suppose 266*u = 244*u + 1056. Let j = -213 - -403. Calculate the remainder when j is divided by u.
46
Suppose r = 3*l, 2*l + 3*r = 4*l - 7. Let f be 4 + ((-56)/(-7) - l*2). Suppose -f*j = -31 - 417. What is the remainder when 61 is divided by j?
29
Let x be (-92)/10 - (-24)/120. Let d(a) = 10*a**2 + a - 1. Calculate the remainder when (-67)/(((-6)/x)/(4/(-6))) is divided by d(1).
7
Suppose a = -2*u + 166, -3*u + 321 = -a + 52. Calculate the remainder when 388 is divided by u.
40
Calculate the remainder when ((-3)/2)/((-45)/61140) is divided by 677.
7
Let y(g) = g**2 - 6*g + 15. Let o = 332 + -287. Calculate the remainder when o is divided by y(6).
0
Let y(l) = 2*l**3 - 3*l**2 - 6*l + 4. Let q(r) = 135*r + 766. What is the remainder when q(-5) is divided by y(4)?
31
Let u = 35 + -40. Let c = -6 + u. Let b = c + 12. Calculate the remainder when b is divided by 1.
0
Suppose 30*z - 20*z = 270. Suppose 0 = 5*h + 2*q + q - 113, -h = 5*q - z. What is the remainder when 27 is divided by h?
5
Let y(p) = 46*p. Suppose 39 + 297 = 14*t. Calculate the remainder when y(1) is divided by t.
22
Suppose g = 4*m - 45, 6*m + 2*g = 11*m - 60. Suppose m*f - l = 8*f + 231, -339 = -3*f + 3*l. Calculate the remainder when f is divided by (2/4)/(2/120).
28
Suppose -s + 0*u + u - 50 = 0, 3*u = -s - 58. Let c = -12 - s. What is the remainder when c is divided by 14?
12
Let w(c) = -65*c - 1044. What is the remainder when w(-45) is divided by 37?
31
Let g = 791 + -791. Let u(b) = -2*b + 13 - b**2 + 3*b + 0 + 2*b**2. What is the remainder when 62 is divided by u(g)?
10
Suppose -2*u + 8*u = 14376. Let w = -1557 + u. Calculate the remainder when w is divided by 35.
34
Calculate the remainder when (14 - 15)*(5 + -242) is divided by 66.
39
Let c(x) = x**2 - 31*x + 2. Let s be c(31). Suppose s*r - 278 = -4*d, 15 = 14*r - 11*r. Calculate the remainder when d is divided by 23.
21
Let n = 12439 + -12403. Suppose 8 = i - 24. Let l = i + -8. What is the remainder when n is divided by l?
12
What is the remainder when 1197*(6/(-24))/((-27)/36) is divided by 50?
49
Let o(s) = 2*s**3 + 5*s**2 - 4*s + 4. Let w(b) = -b**2 + 30*b + 80. Calculate the remainder when o(3) is divided by w(32).
11
Let n be (-4 - (-39)/9)*-3. Suppose -5*i - 4*j + 2*j - 1 = 0, -i = 2*j + 5. What is the remainder when 18 is divided by (i + -1 + n)/(12/(-84))?
4
Let i(a) = 3*a + 2. Suppose -6*t = -t - 4*j 