.
29
Let j(v) = -16*v**3 + 7*v**2 - 3*v - 8. Calculate the remainder when 1781 is divided by j(-1).
17
Let n(o) = -o**3 + 42*o**2 - 214*o + 63. Calculate the remainder when 324 is divided by n(36).
54
Suppose -u - u = -6. Let k be (-36)/30*10/u. Let h(c) = -c**3 - 3*c**2 + 3*c + 5. Calculate the remainder when h(k) is divided by 6.
3
Suppose -49*h + 188034 = 25*h. Calculate the remainder when h is divided by 16.
13
Suppose -p - 4*p = 50. What is the remainder when 219 - p*12/30 is divided by 57?
52
Let o = -287 + 1274. Calculate the remainder when o is divided by 66.
63
Suppose 4*r - 572 = 628. Let a be 73/15 - (-40)/r. Suppose -a*t + 152 = 2*b - 4*b, -100 = -3*t - b. Calculate the remainder when t is divided by 11.
10
What is the remainder when (-8)/(-32)*(0 - -4) + 117 is divided by 109?
9
Suppose 2*b + 5*u - 8 = 0, 0 = -4*b + 3*u + 31 + 11. Suppose 46*k = 3*k - 57*k + 900. What is the remainder when b is divided by k?
0
Let g(w) = 6*w**2 + 100*w - 549. What is the remainder when 266 is divided by g(5)?
64
Let t = -250 + 442. What is the remainder when t is divided by 104?
88
Suppose 120 = 8*z - 3*z. Let w = 428 + -444. Calculate the remainder when z is divided by ((-1)/(-4))/((-8 - w)/288).
6
Suppose p = 5*v - 295, -5*v + 104 = -2*p - 196. What is the remainder when 310 is divided by v?
20
Let h = 3555 + -3524. What is the remainder when 958 is divided by h?
28
Suppose 424 = -3*k + 439. Suppose k*h - 70 = -5*l, 0 = 4*l - h - 25 - 6. Calculate the remainder when 51 is divided by l.
6
Let l(s) = -4*s**3 - 10*s**2 - 9*s. Let h(i) = -i**3 - i**2 - i + 1. Let c(g) = 3*h(g) - l(g). What is the remainder when 3*((-10)/3 - -6) is divided by c(-6)?
2
Let p = 3129 - 3026. Calculate the remainder when 11945 is divided by p.
100
Let h = 228 - 232. Calculate the remainder when 119 is divided by (-40)/30*(-10)/h*-3.
9
Suppose 0 = 21*d - 38*d + 3*d + 2324. What is the remainder when 20748 is divided by d?
164
Suppose -621 - 9 = -15*r. Let t = 2 - -10. Calculate the remainder when r is divided by t.
6
Let v(k) = -k**3 + k**2 - k + 2. Let j be v(0). Suppose 5*a = j*x - 47, -2*a = 4*x + 3*a - 49. Calculate the remainder when 90 is divided by x.
10
Suppose 1280 = 4*m + 141*y - 136*y, 5*m - 2*y - 1567 = 0. Calculate the remainder when m is divided by 16.
11
Suppose 95 + 146 = 4*n - 3*u, 4*u = -12. Let y(k) = 20*k + 86. Let j be y(-11). Let i = j + 164. What is the remainder when n is divided by i?
28
Suppose f = 123*h - 127*h + 394, 5*f + 455 = 5*h. What is the remainder when 2810 is divided by h?
94
Let w(b) = -4 - 5*b**2 - b**3 + 0*b**3 + 49*b - 51*b. Suppose n - 44 = -30. What is the remainder when n is divided by w(-5)?
2
Let m(j) = j**2 - 8*j - 14. Let h be m(10). Suppose h*w = 4*w - 16. Let p(g) = -3*g - 13. What is the remainder when 21 is divided by p(w)?
10
Suppose -a - b + 19 = 0, -3*b - 2*b = -5. Suppose 25*t - a*t = 210. Calculate the remainder when 59 is divided by t.
29
Suppose u = -5*a + 3439, -2*a + a = 5*u - 683. Let b = 963 - a. What is the remainder when b is divided by 6?
5
Let j be (2090/(-66))/(10/(-12)). Suppose 20*g - j*g + 5544 = 0. What is the remainder when g is divided by 52?
48
Let r = -6 + 16. Suppose 2*x - 77 = -3*n + 26, -4*x + 3*n + 125 = 0. Calculate the remainder when x is divided by r.
8
Suppose 186 = 9*t + 24. Suppose -3*z - 2*m + 362 = 0, -98 = -5*z + 5*m + 472. Calculate the remainder when z is divided by t.
10
Let w = 3028 + -2174. What is the remainder when w is divided by 22?
18
Calculate the remainder when ((-1)/5)/(-1) + 128/10 is divided by 12/5*(611/39 + -14).
1
Calculate the remainder when 668 is divided by ((-48)/(-96))/(3004/(-752) - -4).
10
Let s = -53 - -62. Suppose -5*c = s*c + 14. Calculate the remainder when 50 is divided by c + (4 - (3 - 55)/4).
2
Suppose 2*u + 128 = -0*u. Let z = -36 - u. Let r(k) = -2009*k + 4024. What is the remainder when z is divided by r(2)?
4
What is the remainder when 4453 is divided by (2 - (-16 - -15)) + 43?
37
Let f = -1446 - -1470. Let d = 122 + -83. Calculate the remainder when d is divided by f.
15
Let o be ((-6)/(-10))/((-34)/(-2040)). What is the remainder when 44 is divided by (o/28)/(6/42)?
8
Let s(l) = -2*l + 82. What is the remainder when s(14) is divided by 15?
9
Suppose 3*r + 122 = 428. Let k(q) = 3*q**2 - 78*q + 229. What is the remainder when r is divided by k(23)?
14
Suppose -34*x = -14*x + 6720. Let w = -292 - x. What is the remainder when w is divided by 24?
20
Suppose -d = u + 57, -2*u + 6*d - 3*d - 89 = 0. Suppose -53 = -x - 2*q, -q = q. Let h = u + x. What is the remainder when 1 is divided by h?
0
Suppose 4*f - 82 + 14 = 0. Suppose 8 = 3*c - 7, -5*h + 2*c + 5435 = 0. Suppose -14*w + h = -3*w. Calculate the remainder when w is divided by f.
14
Suppose -5*f = u - 25, -3*f = -5*f - 4. Let i(l) = -l + 168. Calculate the remainder when i(77) is divided by u.
21
Suppose 311*z = 305*z + 288. Suppose -3*f - b + 400 = 0, -520 = -4*f - b - 3*b. What is the remainder when f is divided by z?
39
Let r(o) = o**2 - 3*o - 36. Suppose 4*s + 24 = -2*q - 4, 32 = -4*q - 2*s. What is the remainder when 123 is divided by r(q)?
15
Let v(l) = l**3 + 12*l**2 - 15*l - 4. Let c be (26/10 + 5)*45. Suppose 5*j - t = -5*t + 333, 5*j - c = -t. What is the remainder when j is divided by v(-13)?
3
Suppose 4*m - 40 = -m + 2*n, 4*n + 24 = 3*m. What is the remainder when -4 + (-5 + 642)/7 is divided by m?
7
Let q = 6348 + -5433. What is the remainder when q is divided by 129?
12
Let r = 419754 - 419723. Let f(s) = s**3 - s**2 - s + 16. What is the remainder when r is divided by f(0)?
15
Let c = 6798 + -6722. What is the remainder when c is divided by 1 + 19 + -2 - -2?
16
Let x = 10013 - 9296. What is the remainder when x is divided by 328?
61
Suppose 0 = 2*b - 4, -5*q - 4*b + 261 = -172. Suppose 2*v = 7*v - q. What is the remainder when v is divided by (-145 - -146)/(4/(-18) - (-1)/3)?
8
Let b(l) = -2*l**2 - 50*l - 30. Let j be b(-24). Suppose 0 = 3*y + 2 - 5, -4*y = -2*h + j. What is the remainder when 12 is divided by h?
1
Let c = 24 - 23. Suppose 0*g - g = -c. Let a = 308 + -305. What is the remainder when a is divided by g?
0
Suppose 67 - 15 = 26*d. Let y = -45 - -113. What is the remainder when y is divided by d?
0
Let h(f) = -2*f**2 + 5*f + 15. Let p be h(4). Suppose p*u = u + 50. Suppose 3*k = k + 196. What is the remainder when k is divided by u?
23
Let z(m) be the second derivative of -29*m + 17*m**2 + 0 - 17/12*m**4 - 1/6*m**3 + 1/20*m**5. Calculate the remainder when 117 is divided by z(17).
15
Suppose 13*b - 9742 + 2605 = 0. What is the remainder when b is divided by 133?
17
Let z = -29250 - -29257. Suppose 5*m - 2*t - 4 = 1, -20 = -4*t. Suppose 43 = 2*p + m. What is the remainder when p is divided by z?
6
Suppose -7*m + 5*m + 3*m = 0, -10 = 4*u + 5*m - 74. Let b = 108 - 13. What is the remainder when b is divided by u?
15
Let b = 610 - 530. What is the remainder when 925 is divided by b?
45
Suppose 51*y = 55*y - 2*u - 300, 4*y = -5*u + 272. What is the remainder when 874 is divided by y?
71
Let p = -51 + 31. Let b = 0 + 2. What is the remainder when (0 - 5)*(3 - (-76)/p) is divided by b?
0
Suppose -2*u + 30*a = 34*a - 28, -5*u - 4*a = -58. Calculate the remainder when 139 is divided by u.
9
Suppose 0 = 120*o - 145*o + 17175. What is the remainder when o is divided by 5?
2
Suppose -3*c = -8*c + 45. Suppose -2*s = -f - 181, -s - 39*f = -38*f - 86. Calculate the remainder when s is divided by c.
8
Suppose -46*y - 32*y + 33852 = 0. Calculate the remainder when y is divided by 216.
2
Let r = 160 + -136. Suppose -28*l - r = -32*l. Calculate the remainder when 16 is divided by l.
4
Suppose 0 = -1329*o + 1316*o + 741. What is the remainder when 207 is divided by o?
36
Suppose -3*u + 273 = 3*s, 0 = u + 2*u - 5*s - 297. Let j be 0 - 4/2 - (5 + 71). Let d = u + j. What is the remainder when 31 is divided by d?
15
What is the remainder when 4741 is divided by 228*2158/312 + 0*(-1)/2?
10
Calculate the remainder when (4673/(-6))/(1169/42 - 28) is divided by 19.
18
Let q(j) = 5*j - 66. Let i be q(14). Calculate the remainder when (-5)/(-20)*i + 157 is divided by 40.
38
Suppose b = -5*z + 62, 14*z = 6*b + 12*z - 308. What is the remainder when 10345 is divided by b?
49
Let w(s) be the third d