4 + i. Calculate the remainder when v is divided by 48.
45
Let i = -919 - -1519. Suppose -13*k + 43*k - i = 0. Calculate the remainder when 159 is divided by k.
19
Let b(r) = 4*r**3 - 17*r - 12. Let q(g) = 5*g**3 - 18*g - 12. Let v(o) = -4*b(o) + 3*q(o). Let c = 17 - 23. Calculate the remainder when v(c) is divided by 37.
33
Suppose -587*z + 595*z - 6128 = 0. What is the remainder when z is divided by 206?
148
Suppose -16*h = 471 - 4647. Calculate the remainder when h is divided by 52.
1
What is the remainder when ((-48)/3)/((-19)/(-190)*-1) is divided by 115?
45
Suppose -5*s = 257*t - 256*t - 299, 0 = s - t - 67. What is the remainder when 1072 is divided by s?
35
Let x = 3589 - 3480. What is the remainder when 975 is divided by x?
103
Let l be 55/(-22)*(-16)/10. Let b be (321 + -5)/(3*l/18). Suppose 2*v + 138 = -5*i + 626, 0 = -2*v + 2*i + b. What is the remainder when v is divided by 40?
39
Let n = -3455 - -4661. What is the remainder when n is divided by 111?
96
Suppose 5*w - 5*h - 23256 = -1741, 0 = -3*w - 3*h + 12897. Calculate the remainder when w is divided by 105.
101
Suppose -35*p + 2639 = -931. What is the remainder when 202 is divided by p?
100
Suppose -54 = -0*o + o. Let y = 53 + o. What is the remainder when 43 is divided by ((-46)/(-6))/(y/(1 - 4))?
20
Let z = -13380 + 13401. What is the remainder when 1734 is divided by z?
12
Let o(m) = -4*m - 41. Let s(t) = -5*t - 41. Let v(i) = -3*o(i) + 4*s(i). Let y be v(-5). What is the remainder when (-6)/((-30)/235) + y is divided by 17?
12
Let l(a) = 3*a**3 - 5*a**2 - 13*a - 13. Let c(m) = 10*m**3 - 14*m**2 - 39*m - 39. Let f(n) = 2*c(n) - 7*l(n). What is the remainder when 152 is divided by f(8)?
46
Let w(g) = g**3 + 38*g**2 - 75*g + 213. Calculate the remainder when 18419 is divided by w(-40).
11
Suppose -g + t + 17 = 0, 0 = 3*t - 4*t + 5. Suppose 145 + 141 = g*f. Calculate the remainder when 297 is divided by f.
11
Let c(q) = 17*q + 2. Suppose 0 = 8*j + 885 - 517. What is the remainder when c(4) is divided by -32 - j - (-3 - 1)?
16
Suppose -2*n + 7356 = -4*u, -3*n = -0*n - 4*u - 11042. Calculate the remainder when n is divided by 18.
14
Suppose 1 = 8*h + 17. Let r = 16 + h. Calculate the remainder when r is divided by 2.
0
Let x(l) = 444*l - 876. What is the remainder when (2 + -1)/1 - -103 is divided by x(2)?
8
Let k(b) = 7 + 9*b - 15 - 12. Let u(t) = t**3 + t**2 - 25*t - 22. Let y be u(-5). What is the remainder when 9 is divided by k(y)?
2
Let h = 6002 - 5984. Let u = 7 - 5. Suppose 0 = 2*f - 10, 2*f = u*y - 135 + 9. What is the remainder when y is divided by h?
14
Let a(z) = z**3 - 8*z**2 + 2*z + 21. Let s = 137 - 135. Suppose -4*r + h = -37, -4*r + 50 = -4*h - s. What is the remainder when 71 is divided by a(r)?
34
Suppose -69*w - 13164 = -160686. Calculate the remainder when w is divided by 93.
92
Suppose -5*a = 5*x + 45, -6*x + 29 = -4*a - 3*x. Let l(i) = -i**3 - 6*i**2 - 5*i - 15. Calculate the remainder when l(a) is divided by 84.
69
Suppose -374 = 5*q + 2*j, -3*q = -0*q + 3*j + 219. Let g = q - -314. What is the remainder when g is divided by 22?
18
Let m = -13274 - -13447. What is the remainder when 2087 is divided by m?
11
Calculate the remainder when 93 is divided by (-196)/(-70)*(33 - (3 + 0)).
9
Suppose 0 = 4*g - y - 665 - 190, -3*g = 5*y - 670. What is the remainder when g is divided by 93?
29
Let p(s) = 178*s**2 - s - 1. Suppose 73 - 74 = t. What is the remainder when p(t) is divided by 33?
13
Let g(w) = -w**3 + 4*w**2 + 7*w + 13. Let u be g(6). Let d(p) = p**2 + 17*p + 21. Calculate the remainder when 75 is divided by d(u).
12
Calculate the remainder when 3/(-42)*6 - 1962/(-21) is divided by 92.
1
Suppose -55*m + 648 = -837. Calculate the remainder when 374 is divided by m.
23
Let w(x) = x**3 - 12*x**2 + 52*x - 293. What is the remainder when 938 is divided by w(10)?
20
Let o(w) = w**3 - 17*w**2 + 74*w + 15. Let s be o(9). Suppose 4*t = 4*v - 1772, -5*t + 846 + s = 2*v. Calculate the remainder when v is divided by 89.
86
Suppose -2*z - 446 = -5*z + 5*n, 5*z - 740 = 5*n. Suppose 9*k - 267 - z = 0. Calculate the remainder when k is divided by 18.
10
Suppose -r = 4*r. Suppose r = -2*u + 61 + 301. Calculate the remainder when u is divided by 61.
59
Let j be 104390/(-338) + (-4)/26. What is the remainder when (112/21)/(-8)*j/2 is divided by 44?
15
Suppose -26*u = -10*u - 4461 + 1437. Calculate the remainder when u is divided by 178.
11
Suppose 0 = -37*f - f + 2*f + 19260. What is the remainder when f is divided by 4?
3
Let k(t) = -605*t + 3917. Calculate the remainder when k(6) is divided by 225.
62
Suppose -63 = -5*q + 57. Suppose 2*v + l - 39 = 0, 9*l = -v + 6*l + 32. Calculate the remainder when q is divided by v.
7
What is the remainder when 149 is divided by (-9 + -1 + 7/7)/(8/(-72))?
68
Suppose g = 5*m + 55, 3*m + g = -4*g - 5. Let f = -11 - m. What is the remainder when 0 - 3 - f - (-118)/1 is divided by 7?
4
Suppose -2*j - 2*t - 1 = -19, 4 = 2*t. What is the remainder when 615 is divided by j?
6
Let k(w) = w**3 + 2*w**2 - 7*w + 6. Let u = -355 + 358. Let h = 13 + -2. What is the remainder when k(u) is divided by h?
8
Let t(g) = -g**3 - 8*g**2 + g + 11. Let b be t(-8). Suppose 0 = -3*l + 3*h + 129, b*l - 3*h + 141 = 6*l. Calculate the remainder when l is divided by 6.
3
Let f(i) = -7*i - 2. Let n be f(1). Let o be 4/6 - 30/n - 3. What is the remainder when 14 is divided by 77/21 + o/3?
2
Let j(z) = -5*z + 51. Let t be j(-3). Let b = 2 + t. Calculate the remainder when b is divided by -62*1/(-2) - 3.
12
Let z = -12 + 13. Suppose -4*m - i + 9 = 0, -2*m + 10*i = 5*i + z. Calculate the remainder when 60/(-9)*(-3)/2 is divided by m.
0
Let y = 23 - 25. Let i be (44/(-8))/(y/(-4)*1). Let f = 73 + i. Calculate the remainder when f is divided by 22.
18
Suppose 3*l = 4*f - 1395, -6*l + 7*l + 1045 = 3*f. Calculate the remainder when f is divided by ((-5)/4)/(3/(-24)).
8
Calculate the remainder when 201 is divided by (2 - -38 - -2)/(18 - 2001/115).
61
Let t be 175/(-14)*(5 + -3). Let i = t + 37. Calculate the remainder when i is divided by (4 - 7) + 5 + (2 - 1).
0
Let i = 228 + -237. What is the remainder when 32 is divided by (-5 - -23)*(30/i - -4)?
8
Suppose 799*w = 810*w - 6391. Calculate the remainder when w is divided by 65.
61
Suppose 3*k - 6356 = -14*t + 19*t, 14796 = 7*k - 3*t. What is the remainder when k is divided by 88?
0
Let d = 1 - -2. Let i be (12/9)/(24/36). Suppose -d*y + 55 = 2*t, 0 = -i*y - 3*t + 29 + 16. Calculate the remainder when 57 is divided by y.
12
Suppose -24*f = -578 - 1874 - 332. What is the remainder when 245 is divided by f?
13
Let p(l) = l + 18. Suppose 115 = 4*u + 13*v, -10 = -u + 5*v - 2*v. Calculate the remainder when u is divided by p(-9).
1
Suppose -t + 19 = -5*j, 12*j = 2*t + 5*j - 35. Calculate the remainder when t is divided by (-15)/(-6)*(-12)/(-10).
2
Let n = 14 - -5. Suppose 0 = 67*f - 72*f + 75. Let t = n - f. What is the remainder when 5 is divided by t?
1
Let m = 44 - 2. Suppose 3*k + 112 = 5*c, -2*c + 3*k + 37 + 6 = 0. What is the remainder when m is divided by c?
19
Suppose -v + 71 + 75 = 3*o, -v + 99 = 2*o. What is the remainder when o is divided by 33?
14
Let t = 29 - 28. Calculate the remainder when 99 is divided by (t/2)/((-7)/(-322)).
7
Suppose 5*i = -x - 3 + 2, -4*x = 5*i - 41. Calculate the remainder when x is divided by 9/((-18)/4) + (-66)/(-6).
5
Suppose -4*h - 2*x = -804, -2*x = h - 13 - 194. What is the remainder when 3779 is divided by h?
197
Suppose -y + 2*y - 4 = 0. Suppose -15 = -f - y*f. Suppose -3 - 114 = -f*g. Calculate the remainder when 155 is divided by g.
38
Let l(x) be the third derivative of 35/6*x**3 + 0*x - 6*x**2 + 0 - 1/8*x**4. What is the remainder when 74 is divided by l(8)?
8
Suppose 0 = y - 11*p + 8*p - 439, -436 = -y + 4*p. What is the remainder when (2/(-6))/((-1)/309) is divided by (-1512)/y*(-8 + 0)?
22
Suppose 12*c - 93 = -213. What is the remainder when 74 is divided by ((-65)/c)/((-4)/(-8))?
9
Suppose -4*p + 9392 = -62*p + 39842. What is the remainder when p is divided by 67?
56
Calculate the remainder when 3/9 - (117/(-78) - 6758/12) is divided by 13.
6
Suppose 18177 = 3*m + 2*a, -19*a - 60659 = -10*m - 18*a. Calculate the remainder when m is divided by 21.
17
Suppose -5*s = 2*k - 50