lculate the remainder when 134 is divided by v.
22
Let h(k) = -k**2 - 15*k + 17. Let o(j) = -2*j**2 - 16*j + 14. Let y(n) = 5*h(n) - 4*o(n). What is the remainder when 261 is divided by y(4)?
30
Suppose 0 = -296*h + 146834 + 101255 + 76623. What is the remainder when h is divided by 1097?
0
Let a(c) = 8*c + 32. Suppose 0 = -2*o + 2*l + l - 10, 2 = -o + 3*l. Let q be a(o). Let g = -24 - q. Calculate the remainder when 70 is divided by g.
6
Let v(q) = q**3 + 9*q**2 - 6*q + 19. Let j be v(-10). Calculate the remainder when (151 + -3)*2/4 is divided by ((-14)/j)/((-2)/(-33)).
8
Let a(z) = -z**3 + 6*z**2 - 5*z - 6. Let v be a(3). Let j(b) = 77*b - 79. What is the remainder when j(v) is divided by 24?
23
Suppose -4*g = -g + 3*i - 84, 3*g - 2*i - 104 = 0. What is the remainder when (0 - -29)/(16/g) is divided by 10?
8
Let x(t) = t**2 - 54*t - 1107. Calculate the remainder when 45 is divided by x(-16).
6
Calculate the remainder when 400 is divided by 3052/872 - (-3)/6*95.
43
Let k(p) = 18*p - 133. Let t be k(-8). Let y = t - -299. What is the remainder when 104 is divided by y?
16
Let d = 125 + -119. Calculate the remainder when 70 is divided by (3 + 1 - d)*45/(-6).
10
Let i = 9568 + -8257. Calculate the remainder when i is divided by 1310.
1
Let o(l) be the first derivative of l**4/4 - 2*l**3/3 + 9*l**2/2 - 9*l + 78. Calculate the remainder when 14 is divided by o(2).
5
Let s(u) = -u**2 + 76*u + 431. What is the remainder when 90 is divided by s(81)?
12
Let g(n) = -n**2 - 10*n - 20. Let l be g(-7). Suppose -l = w, -2 = -4*v - w - w. What is the remainder when (4 - v)/(1665/(-560) + 3) is divided by 23?
20
Suppose 3*v = 4*p + 6, -3*p - 8 = -9*v + 5*v. Suppose 110 = 4*r + v*d + 36, -2*r - 3*d = -47. What is the remainder when 47 is divided by r?
15
Suppose 8*y = 3*y - 310. Let b = y + 79. Let u(p) = 23*p + 2. What is the remainder when u(2) is divided by b?
14
Suppose -v = 4*v - h - 22, h = -v + 8. Calculate the remainder when 647 is divided by v.
2
Suppose -3*p + 77 - 8 = 0. Suppose -n - 833 = -3*r, -3*r + 8360*n + 749 = 8365*n. What is the remainder when r is divided by p?
20
Let a be (-4)/9 - (-931)/171. Suppose 5*l - 2*t = 324, a*l - 275 = 3*t + 51. Calculate the remainder when l is divided by 23.
18
Let f = 35 + -54. Let g(i) = i**3 + 19*i**2 - 7*i - 107. Calculate the remainder when g(f) is divided by 16.
10
Suppose -16*a + 19*a = -2*k + 1096, -6 = -3*k. Calculate the remainder when a is divided by 40.
4
Let t = 20 - 18. Suppose -u = -5*n + 18, -3*n + 5*n = t*u + 4. Suppose -u*d - 2 = -26. What is the remainder when 58 is divided by d?
10
Let t = -371 + 571. Let z(q) = q**2 + 44*q - 605. What is the remainder when t is divided by z(-56)?
66
Let l(k) = k**2 - 6*k - 28. Let c be l(11). Suppose -i + j + 31 = 0, -23*i - 5*j + c = -21*i. What is the remainder when 99 is divided by i?
21
Let h(u) = -3*u + 19. Let t be h(5). What is the remainder when (1 - t)/((-93)/45 - -2) is divided by 12?
9
Let z(s) = -544*s + 3813. Calculate the remainder when z(-9) is divided by 10.
9
Let n(s) = 107*s**2 + 16*s + 23. Let d(v) = 71*v**2 + 11*v + 16. Let i(u) = -7*d(u) + 5*n(u). Let f = 34 - 21. What is the remainder when i(-1) is divided by f?
12
Suppose 0 = 34*x - 23699 - 4215. Calculate the remainder when x is divided by 272.
5
Suppose -2*l + 3*z + 355 = 0, -29*l + z - 375 = -31*l. What is the remainder when l is divided by 80?
25
Let t(k) = 2*k**3 - 53*k**2 - 18*k - 42. Let q be t(27). Suppose -9*o - 210 = -3*p - 11*o, -3*p - 5*o = -q. Calculate the remainder when p is divided by 49.
23
Suppose -2*d + 13*d = 3*d + 3048. Calculate the remainder when d is divided by 77.
73
Let f = -38275 + 38358. Suppose -53 = -3*o + 2*r, 5*o - 90 = 8*r - 3*r. Let i = o - -1. What is the remainder when f is divided by i?
11
Let j(q) = 9*q**3 + 2*q**2 + 2*q. Let t be j(-3). Let b = 351 + t. Let f = 38998 + -38967. What is the remainder when b is divided by f?
27
Let n = 71 - 64. Suppose 77 = x + 5*c, 6*c = -x + n*c + 77. What is the remainder when 459 is divided by x?
74
Suppose -2*r - 2*r + 132 = 0. What is the remainder when r is divided by (480/408)/((-14)/(-119))?
3
Let o = -6 + 56. Calculate the remainder when (-1085)/(-2 + -3) - (17 - 19) is divided by o.
19
Let f be (-3)/(12/(-35)) + 4/16. Let o(y) = 2*y**2 - 15*y + 18. Let b be o(f). Suppose r - b + 0 = 0. Calculate the remainder when r is divided by 16.
13
Let k = -1431 + 192. Let y be (-24)/(-9)*(-18)/(-8). Calculate the remainder when (k/(-63))/(2/y) is divided by 15.
14
Suppose 150 - 540 = -4*j + 234. What is the remainder when 3115 is divided by j?
151
Suppose -295 = 6*d - 319. Suppose 3*t - 210 = -d*t. Calculate the remainder when 60 is divided by t.
0
Let o(x) = -x**3 - 19*x**2 - 38*x - 37. Let i be o(-18). Suppose 311*j - i*j + 432 = 0. What is the remainder when j is divided by 34?
2
Suppose -108 + 52 = -28*i. Suppose 0 = 4*b + 2*y - 70, 0*b - 2*y = -i*b + 26. What is the remainder when 27 is divided by b?
11
Suppose 63 = -0*w + 7*w. Calculate the remainder when w/(99/350) + 4/22 is divided by 6.
2
Let j(f) = -12*f + 89. Let q be j(7). Suppose 3*w - 25 = -a - a, q*a - 15 = 2*w. Calculate the remainder when 149 is divided by a.
4
Let o(c) = 1443*c + 11918. What is the remainder when o(-8) is divided by 32?
22
Let j(t) = 16*t**2 - 2*t - 16. Let q = 70 - 49. What is the remainder when j(3) is divided by q?
17
Let c(t) = -65*t + 2415. What is the remainder when 2049 is divided by c(37)?
9
Let g = -134 - -183. Suppose -14*p + g = -455. Suppose 3*q - q + x - 25 = 0, 3*q - 51 = 3*x. What is the remainder when p is divided by q?
8
Let u = -6022 - -6406. What is the remainder when u is divided by 158?
68
Suppose 3*i - 921 = -5*z - 113, 0 = -2*z + 3*i + 298. Calculate the remainder when z is divided by 50.
8
Suppose -3*m = -15*h + 10*h + 148, 2*h = -2*m + 72. What is the remainder when 55 is divided by -90*(-2 - h/(-18))?
15
Let d(r) = -r**2 + 27*r - 55. Let g be d(10). Let c = g - 102. What is the remainder when 34 is divided by c?
8
Let m(x) = -x**3 + 9*x**2 + 219*x + 2. What is the remainder when 127 is divided by m(-11)?
10
Let i be 1*-16 - (8 - 11). Let n be i/((-455)/(-10)) + (-200)/(-14). Suppose 8 = -p + n. What is the remainder when 10 is divided by p?
4
Let q = 70 + -56. Let o be (-4 - (2 - q)) + -1. Suppose -o*a + 3*a + 5*r = -173, 0 = -5*a + 4*r + 214. What is the remainder when 123 is divided by a?
39
Let a(x) = 10 - 5 + 4*x - 8*x + 6. Calculate the remainder when 20 is divided by a(0).
9
Suppose 24*r - 25*r + 3700 = 0. Suppose -q + 25 + 13 = 0. What is the remainder when ((-12)/10)/((-30)/r) is divided by q?
34
Suppose -4*y = -m - y - 41, 2*m - 5*y + 80 = 0. What is the remainder when m/(-70)*(95 - 1) is divided by 11?
3
Suppose 2*y + 3164 = -2*y. Let h = y + 797. Let w = -60 + 88. What is the remainder when w is divided by h?
4
Let b(u) = -2*u**3 - 4*u**2 + 40*u - 21. Let d be b(-8). Let o = d + -243. Calculate the remainder when o is divided by 17.
14
Suppose p - 5*p - 12 = 0, -5*p = -3*v + 27. Calculate the remainder when (-46)/(-6) - (-12)/(-18) is divided by v.
3
Let l = 804 + -411. What is the remainder when l is divided by 48?
9
Let u = -41 + 104. Let t(w) = -2*w**2 + 18*w + 4. Suppose -3*o - o - r + 28 = 0, -28 = -4*o - 5*r. What is the remainder when u is divided by t(o)?
31
Let x(m) = 1575*m - 853. What is the remainder when x(6) is divided by 50?
47
Suppose -3*a + 172 = -992. Suppose 2*w - a = -3*w - 4*g, -12 = 4*g. Let n = w - 60. What is the remainder when 59 is divided by n?
19
Suppose 2*k + 4*x - 304 = -954, 2*x = 0. Let z = 351 + k. Calculate the remainder when 84 is divided by z.
6
Let y(s) = 7*s**2 - 107*s - 671. Calculate the remainder when 444 is divided by y(-7).
23
Let m(g) = -g**2 + 18*g + 103. Let p = -83 + 110. What is the remainder when p is divided by m(-4)?
12
Let z(i) = -2*i**2 - 97*i + 445. What is the remainder when z(-50) is divided by 101?
93
Let q = 14890 - 14845. Suppose 3*a = -a + 528. What is the remainder when a is divided by q?
42
Let z = 1421 - 1263. What is the remainder when z is divided by 29?
13
Let q = -106991 + 107039. Calculate the remainder when (-1)/(-2)*0 + 206 is divided by q.
14
Suppose u = 3*f + 61, 4*f - 58 = -2*u + 64. What is the remainder when 219 is