- 5*f + 30 = -191, -4*f = -16. Suppose -4*l + 448 = -0*l. Let a = x + l. Calculate the remainder when a is divided by 17.
11
Suppose 0 = j - 3*j + 50. Let m = -51115 - -51204. Calculate the remainder when m is divided by j.
14
Suppose 76*f - 151037 + 54454 - 119865 = 0. Calculate the remainder when f is divided by 92.
88
Let d = -22538 + 22587. Calculate the remainder when 7197 is divided by d.
43
Let p be (1 - 7)*(-1)/2. Let o be (16/(-6))/((-4)/(-6)). What is the remainder when 75 is divided by 57/18*p - 6/o?
9
Let u be (-969)/(-18) + (-2 - 52/(-24)). Let s = u - 50. Suppose 5*t + s*g = 277, 3*t - 129 = -3*g + 39. What is the remainder when t is divided by 5?
3
Let s be (-23)/(-6) + 5 + (-203)/42. Suppose s = 3*t - 221. What is the remainder when t is divided by 21?
12
Suppose 2*h - 8496 = -34*h. Calculate the remainder when h is divided by 85.
66
Let t = 2 - 2. Suppose -5*d - 4*i + 134 = t, 4*d - 2*i = -0*d + 102. Calculate the remainder when ((-2 - -4)*(-1836)/(-36))/2 is divided by d.
25
Let k(w) = -2*w + 44. Let u(l) = 3*l**3 - 2*l**2 + l + 1. Let m be u(-2). Let r = m - -42. What is the remainder when r is divided by k(20)?
1
Suppose 28*j - 33*j + 2*w = -5437, -5*w + 3225 = 3*j. What is the remainder when j is divided by 536?
13
Let u(x) = -x**3 - 23*x**2 + 128*x + 19. What is the remainder when u(-29) is divided by 80?
73
Suppose 0*d + 4*d + 260 = -5*f, 0 = -3*d - 5*f - 200. Let p be 9 - (-9 - 10)/(-1). Calculate the remainder when 1/(p/15)*d is divided by 31.
28
Let u be 1*-25*(-26)/65. Calculate the remainder when ((-143)/5)/(u/(-25))*4 is divided by 29.
25
Suppose -3*d = k - 89, 0*k + 3*k = -4*d + 272. Suppose -202*b + 198*b = -k. Calculate the remainder when 80 is divided by b.
11
Suppose 5*a + 6762 = 99*a - 382. What is the remainder when 102 is divided by a?
26
Suppose 182*c - 1395 = 1517. What is the remainder when ((280/(-25))/(-7))/((-3)/(-150)) is divided by c?
0
Suppose -5*d - 83 = -4*d. Let c = d + 118. What is the remainder when 22/77 - (-719)/7 is divided by c?
33
Suppose 0 = -3*o - 3*s + 162, -27*o - s = -29*o + 108. What is the remainder when 81 is divided by o?
27
Let b = 1078 - 220. Suppose 0 = 17*g - 20*g + b. Suppose -4*p = -17*p + g. Calculate the remainder when 36 is divided by p.
14
Let t(z) = 3*z**2 - 14*z + 1. Let f be t(5). Suppose v = -c + f*v - 9, -2*v + 2 = -2*c. Calculate the remainder when 5 is divided by (c/(-2))/(18/(-144)).
1
Suppose 313 = 15*x + 146*x - 975. Let j = 19 - 10. Calculate the remainder when 81/2*12/j is divided by x.
6
Let s(a) be the third derivative of 0*a + 5/24*a**4 + 0*a**3 + 2/15*a**5 + 4*a**2 + 0 + 1/120*a**6. Calculate the remainder when s(-6) is divided by 16.
10
Suppose 23*x - 16830 - 186560 = -87*x. Calculate the remainder when x is divided by 60.
49
Suppose -14*r + 5791 = 555. What is the remainder when r is divided by 114?
32
Let n = 164 - 97. Suppose 4*s + 4*u - 65 = -13, 3*s - 4*u = n. Suppose -4*v = -y + 20, 47 = 3*y - 3*v + 5. Calculate the remainder when s is divided by y.
5
Let j be 3/((-6)/2) + 49. Suppose -r - j = -2*r. Let m(d) = 7*d - 25. What is the remainder when r is divided by m(6)?
14
Let j = 6 - 3. Suppose l - 3*l = -6, -x = j*l - 14. Let h = -3047 + 3052. What is the remainder when h is divided by x?
0
Suppose 0 = 7*p - 387 - 215. Suppose 0 = -257*k + 252*k + 110. What is the remainder when p is divided by k?
20
Suppose 0 = -3*j + 3*d + 44 + 10, 40 = 2*j + 2*d. Let k = j - -1. Suppose -k = -3*o + 2*o. Calculate the remainder when o is divided by 4.
0
Calculate the remainder when (3 - (-2 + 1*-5*16))*5 is divided by 413.
12
Calculate the remainder when (-12 - (-520)/39)/(4/180) is divided by 21.
18
Suppose -5*j + 2*t + 2613 = 0, -52*t - 2087 = -4*j - 47*t. Calculate the remainder when j is divided by 135.
118
Let p be (-2*1 - -267)*36/(-90). Let d = -118 - p. What is the remainder when ((-44)/d + -4)*-186 is divided by 21?
20
Let g(f) = 30*f**3 + 5*f**2 + 138*f - 561. Calculate the remainder when g(4) is divided by 83.
82
Let r be 10/(-25) - (-6)/(-10). Let m(g) = 2*g**3 - 24*g**2 - 2*g + 27. Let z be m(12). Let b = z - r. What is the remainder when 13 is divided by b?
1
Let d(k) = k**3 + k**2 + 3*k - 3. Let x(r) = 6*r**2 + 53*r + 15. Calculate the remainder when x(-9) is divided by d(2).
9
Let i = 52 + -45. Suppose -7*t - 5*v = -3*t + i, 1 = 2*t + v. Suppose -x = 2*x + 2*q - 34, -t*q = -5*x + 30. What is the remainder when 30 is divided by x?
6
Suppose 4*r + 50 = 1314. What is the remainder when r is divided by (-2)/((-60)/(-243))*-10?
73
Suppose -5*m - 20 = 2*q, 6 = 9*m - 6*m. Let n(p) = p + 21. Let k(d) = -d + 8. Calculate the remainder when k(-8) is divided by n(q).
4
Let y = 300 - 171. Calculate the remainder when (y/6 - 1)*2 is divided by (8/16)/(156/(-440) - (-4)/10).
8
Let k(i) = -21*i - 440. Calculate the remainder when 217 is divided by k(-22).
19
Suppose 0 = -5*x - 0*c + 2*c + 82, 0 = -4*x - 2*c + 62. Suppose 5*q = 9*s - 5*s - 252, 5*s + 5*q - 270 = 0. Calculate the remainder when s is divided by x.
10
Let s(c) = -c**3 - 17*c**2 + 397*c - 13. What is the remainder when 1406 is divided by s(13)?
2
Let s(u) = -u**3 + 26*u**2 - 39*u - 202. Let n(m) = -2*m - 3 + 1 + 0*m. Calculate the remainder when s(24) is divided by n(-4).
2
Let n(h) = -43*h + 345. Let z be n(9). Let y = -61 + 11. Let g = z - y. What is the remainder when 30 is divided by g?
6
Suppose 52*g - 187*g = -58455. Calculate the remainder when g is divided by 109.
106
Let i(j) = -j**2 - 13*j. Suppose -4*k - 5 = -21. Suppose -32 = 5*n - 3*r, -n = -2*n + k*r - 3. Calculate the remainder when 82 is divided by i(n).
40
Let h(o) = 3*o**3 - 12*o**2 + o + 4. Let m be h(6). Let a = 254 - m. What is the remainder when 164 is divided by a?
24
Let y be 12/(-18) + 2*(-69)/(-18). Let s = 44 - y. What is the remainder when s is divided by 33?
4
Calculate the remainder when (260 - -157) + -1 + -7 is divided by 106.
91
Let m = 443 + -439. Suppose 2244 = 2*a + 5*r, m*a + 0*a - 2*r - 4464 = 0. Calculate the remainder when a is divided by 28.
25
Let s = 198 + -198. Suppose 0 = 4*i + 2*v - 102, -3*v + 4 + 5 = s. Calculate the remainder when (4 - 1) + (-1 - -65) is divided by i.
19
Suppose -60 = 2*f - 70. Suppose -o = -2, 5*o - 11 - 34 = -f*v. Let s(m) = m**3 + 9*m**2 + 11*m - 8. What is the remainder when s(-7) is divided by v?
6
Let f be ((-9)/6)/(-1*(-2)/(-4)). Let i(r) = 9*r - 5. Suppose 0 = 3*o - 7*o - j + 314, -4*o + 304 = -4*j. Calculate the remainder when o is divided by i(f).
12
Suppose 0*q + 4*q - 196 = 0. Let n = -76872 + 77064. Calculate the remainder when n is divided by q.
45
Let t(x) = -9*x + 126. Let y be t(-14). Suppose 7*z = -5*z + y. What is the remainder when 166 is divided by z?
19
Suppose -m = -4*o + 294, 2*o - 4*m + 156 = 4*o. Suppose 10*j = -72 + 222. Calculate the remainder when o is divided by j.
14
Let f(k) = k + 25. Let t be f(-15). Suppose t*m - 116 = 8*m. What is the remainder when m is divided by 16?
10
Let v = 4177 - 4118. Calculate the remainder when 1708 is divided by v.
56
Suppose -5*w + 3*w = -30. Suppose -56*k = 111*k - 9185. What is the remainder when k is divided by w?
10
Let z be ((-9)/3)/(5 - 2). Calculate the remainder when (-9284)/(-24) - (14/(-12) - z) is divided by 26.
23
Suppose -y + 2*i + 487 = i, -2*y = 3*i - 994. What is the remainder when y is divided by 245?
1
Let z = 277 + 31. Suppose -303*f = -z*f + 100. Let u = -158 - -236. What is the remainder when u is divided by f?
18
Let x(c) = -2*c**2 - 22*c - 3. Let t be x(-11). Let j be t/1 + -134 + 11. Let g = -116 - j. What is the remainder when 27 is divided by g?
7
Let v be ((-210)/40)/((30/56)/(-5)). Let o = v - 23. Calculate the remainder when o is divided by 19.
7
Suppose -3*z - 65*m = -67*m - 140, 4*z - 4*m = 188. Calculate the remainder when 1469 is divided by z.
43
Calculate the remainder when 1455 is divided by (-24)/(-7 + -3 + 6).
3
Suppose 26 = 2*n + 3*u, 3 = 2*n - 2*u - 43. Suppose 5*r = -26 + 101. What is the remainder when n is divided by r?
4
Suppose 4*f - 38 = 2*q + 52, 3*f + 2*q - 64 = 0. Suppose 4*o = -o - 4*h + 45, 45 = 5*o - 2*h. What is the remainder when f is divided by o?
4
Suppose 21499*f - 4490 = 21494*f. Calculate the remainder when f is divided by 31.
30
Let t = 26 + -3. Let p = 8 + t