ulate the remainder when x is divided by 13.
10
Suppose 4*v + 2*j + 69 - 233 = 0, 5*v - 219 = j. Let u(f) = 11*f**2 + 4*f. What is the remainder when u(5) is divided by v?
37
Suppose -13 - 5 = -c. Let f(p) = 15*p**2 - 15*p + 20. What is the remainder when f(2) is divided by c?
14
Suppose 70*l - 283 - 1166 - 91 = 0. What is the remainder when 28113 is divided by l?
19
Suppose -39 = -2*q + 4*t - 41, 3*q - 21 = -2*t. Calculate the remainder when 744 is divided by q.
4
What is the remainder when ((-792)/(-15))/(((-15)/(-20))/((-45)/(-24))) is divided by 16?
4
Let v = 6 + -1. Calculate the remainder when 197 is divided by 1*v - (-14 - (-10 - 3)).
5
Let y = -4516 + 4633. What is the remainder when y is divided by 10?
7
Suppose -117 = 48*d - 933. Let f be (2 - (-40)/(-6))*3. Let l = f + 23. What is the remainder when d is divided by l?
8
Suppose -28 = -5*s - r, 0 = -3*s - r + 11 + 7. Suppose s*m + 3*y - 40 = -y, -2*y = -m + 22. What is the remainder when 27 is divided by m?
3
Let g = -536 + 826. Suppose 2*p - g + 64 = 0. What is the remainder when p is divided by 38?
37
Let l(g) = -4*g**3 - 19*g**2 - 82*g - 65. Calculate the remainder when l(-8) is divided by 177.
7
Let j(b) = -186*b + 4606. Calculate the remainder when j(24) is divided by 22.
10
Let h(a) = 11*a**2 - 61*a - 183. What is the remainder when h(22) is divided by 7?
5
Let o = 24 + 23. Suppose -5*g = -o - 48. Let m(d) = -3*d + 1. Calculate the remainder when g is divided by m(-2).
5
Suppose 0 = 437*t - 359*t - 1326. What is the remainder when 455 is divided by t?
13
Suppose -72*d = -77*d - 4*a + 3833, -2299 = -3*d - 2*a. What is the remainder when d is divided by 64?
61
Let b = 3030 + -1774. Calculate the remainder when b is divided by 42.
38
Let g(m) = 7*m**2 + m - 6. Let d(f) = -18*f**2 - 3*f + 17. Let a(k) = 4*d(k) + 11*g(k). Calculate the remainder when 623 is divided by a(4).
77
Let g(w) = -3*w**3 - w**2 + w. Let b be g(-1). Suppose 8 + 12 = -5*r, x - b = -5*r. Calculate the remainder when 334 is divided by x.
19
Let m = 100 - 60. Suppose -4*n + 3*g = 41, -5*n - 65 = 5*g + 30. Let v = m + n. What is the remainder when 100 is divided by v?
22
Let r(w) = -16*w**2 - 525*w + 111. Calculate the remainder when 5397 is divided by r(-33).
9
Let q(z) = -z + 12. Let h be q(12). Suppose -4*r + 0*r = f + 2140, -3*r = h. Calculate the remainder when 106 is divided by 1/3 + f/(-60).
34
Suppose 5*m - 5*q = 320, 4*m - 217 = 3*q + 47. Calculate the remainder when 3598 is divided by m.
70
Let f(a) = -15*a + 1. Let p be (-9)/12*4 - (-1)/(-1). What is the remainder when f(p) is divided by 20?
1
Suppose 8*c = 2*c + 12. Let u be (-165)/c + 3 + (-2)/4. Let r = u + 122. Calculate the remainder when r is divided by 11.
9
Suppose 5*o + 2*u - 26 = 2*o, -24 = -2*o - 3*u. What is the remainder when 332 is divided by (-963)/(-18) + 15/o?
52
Let v = -403 - -404. Let s(u) = 155*u - 11. What is the remainder when s(v) is divided by 29?
28
Let u = -244 + 254. Suppose -27*r + 24*r + 6 = 0, 5*h - 2*r - 236 = 0. What is the remainder when h is divided by u?
8
Let q be -8*(-29*1/(-4) - 5). What is the remainder when 1/(2/72 - 0/q) is divided by 6?
0
Let u = -5334 + 5375. What is the remainder when 126 is divided by u?
3
Suppose -6*n - 110 = -374. Let b = 80 - n. Let d(y) = 11*y**2 - 2*y + 2. What is the remainder when d(-3) is divided by b?
35
Let m = 234 - 241. Let j(f) = 10*f**2 + 13*f - 8. What is the remainder when j(m) is divided by 14?
13
Let x(a) = a**2 - 2*a - 7. Calculate the remainder when (2*1)/(33 - 986/30) is divided by x(5).
7
What is the remainder when 4058 is divided by ((-356)/267)/(22/3) - 906/(-22)?
40
Let q(i) = i**3 - 42*i**2 - 98*i - 508. What is the remainder when q(45) is divided by 14?
9
Suppose 1 = 3*k - 2*k - 2*m, -4*k + 14 = -3*m. Suppose h + h - 24 = 0. Let b = h + 6. What is the remainder when b is divided by k?
3
Suppose -91 = 1162*b - 1169*b. Calculate the remainder when 750 is divided by b.
9
Suppose 0 = -z - 3*s - 50, -3*s + 2*s = -2*z - 114. Calculate the remainder when 41 is divided by (z/16 + 4)*28.
13
Let f = 1295 - -260. What is the remainder when f is divided by 65?
60
Let d(p) = -3*p**2 + 43*p - 11. Let t be d(14). Suppose 0 = -t*a - 0*a + 213. Calculate the remainder when a is divided by 27.
17
What is the remainder when (243/45 - 8 - -3)*-5 - -445 is divided by 74?
73
Let v(h) = h**2 - 9*h + 11. Let l be v(8). Suppose 0 = l*r + 4*p + 38, p - 4 - 4 = r. What is the remainder when (1288/(-6))/(-4) - r/(-15) is divided by 9?
8
Suppose 4*i - 1269 = 2*n + 675, -3*n = -2*i + 976. What is the remainder when i is divided by 122?
119
Let j be -2 - -1 - 1 - 735/5. Let w be -4*(j/2)/1. Suppose -c - 4*m = -162, -2*c + 2*m = -3*m - w. What is the remainder when c is divided by 39?
37
Suppose t = 3*d + 80, 0*d - 4*d = 0. Suppose -2*j = -7*j - t. Calculate the remainder when (-418)/j - (-5)/(-40) is divided by 4.
2
Let o(y) = 396 - y - 51*y**2 + 4*y - 394. Let f be o(-1). What is the remainder when (-3 - -2)/((-206)/f - 4) is divided by 14?
12
Let b = 355 + -172. Let j(l) = -10*l - 79. Let g(f) = -11*f - 78. Let a(q) = -2*g(q) + 3*j(q). What is the remainder when b is divided by a(-13)?
22
Suppose y - 504 = -2*l, -4*y + 745 = 3*l - 8*y. What is the remainder when 767 is divided by l?
14
Let f = -5291 + 5387. What is the remainder when f is divided by 29?
9
Let x = 4000 + -3914. What is the remainder when 8684 is divided by x?
84
Let k(c) be the third derivative of c**5/30 + 7*c**4/6 - 61*c**3/6 + 61*c**2. What is the remainder when k(-18) is divided by 26?
5
Suppose 173 = t - 57*z + 55*z, -t = -4*z - 177. What is the remainder when 9630 is divided by t?
166
Suppose 0 = 3816*q - 3850*q + 24446. Calculate the remainder when q is divided by 703.
16
Let m(l) = 15*l**2 - 3. Let y(f) = -19*f + 94. Let v be y(-25). Suppose -21*d + v = -145. What is the remainder when m(-3) is divided by d?
30
Calculate the remainder when (5 - 4)*669/(1 - 3 - -3) is divided by 223.
0
Suppose 7*n = 4*n + 5*r + 166, -r - 5 = 0. Suppose 5*o - 5*b - n = -2, 3*o - 2*b - 28 = 0. What is the remainder when 28 is divided by o?
8
Suppose -11*l - 74 = -13*l. Let a(q) = -q**3 + 13*q**2 - 8*q - 44. What is the remainder when l is divided by a(12)?
1
Let w = -61 - -64. Suppose -w*y - 3*y = 0. Suppose 5*k = -y*z + 5*z + 40, -2*z = -4. What is the remainder when 46 is divided by k?
6
Suppose -59*g + 1542 = -1467. Calculate the remainder when 441 is divided by g.
33
Suppose 4*v = g - 501 - 540, -v - 252 = -3*g. Let o = v - -618. What is the remainder when o is divided by 72?
69
Let a(s) be the second derivative of s**4/3 - s**3/3 + 15*s**2/2 - 49*s. Calculate the remainder when 28 is divided by a(0).
13
Let g(r) = -851*r + 2539. What is the remainder when g(2) is divided by 162?
27
Let v = 162 - 149. Suppose -60 - 226 = -v*z. What is the remainder when 63 is divided by z?
19
Let t = -9120 - -9233. What is the remainder when 186 is divided by t?
73
Suppose -74 = -5*w + 3*j, 3*w + 5*j - 4*j = 36. Calculate the remainder when 89 is divided by 301/w - 130/845.
20
Suppose 4*w - 2*b - 2874 = 0, -56*w + 51*w + 3573 = 4*b. Calculate the remainder when w is divided by 238.
3
Let j(p) = 73 + 9*p**2 - 11*p - 4*p + 3*p**2 - 11*p**2. Calculate the remainder when 48 is divided by j(8).
14
Let h(j) = j**3 + 63*j**2 - 293*j - 1613. Suppose -5*o = t - 180 + 23, -5*t = 15. Calculate the remainder when h(-67) is divided by o.
30
Calculate the remainder when 363 is divided by ((-3)/18)/(145/(-163560)).
175
Suppose -399 = 11*a - 7252. Let s = a - 599. Calculate the remainder when 48 is divided by s.
0
Let c(p) = -p**2 - 20*p + 490. Calculate the remainder when 3031 is divided by c(-34).
7
Let k(i) = -7*i + 2*i + i + 2*i + 69. Calculate the remainder when k(-7) is divided by 29.
25
Calculate the remainder when ((-5)/(-2))/(-30 + (-299915)/(-9996)) is divided by 159.
78
What is the remainder when 679*((-2 - 7/(-5)) + (-284)/(-140)) is divided by 137?
11
Suppose -3*w = 3*g - 2*w - 103, 0 = -g - 4*w + 27. Suppose g = 5*d - 4*k, -k - 8 = -2*d + 3. What is the remainder when 3 + 0/(0 - -2) is divided by d?
0
Suppose 0 = 5*h + 20, 3*h = -2*g + 4*h + 10. Suppose b - g + 21 = 0. What is the remainder when 4/b + 560/9 is divided by 16?
14
Let l = 14833 - 14591