Suppose n - 20 = -k*n. Suppose -n*s - 282 = -4*h, h - 23 - 46 = 2*s. Calculate the remainder when h is divided by 19.
16
Suppose q + 79*l - 3582 = 84*l, 2*q = -5*l + 7269. What is the remainder when q is divided by 14?
5
Suppose -75 = 373*c - 376*c. Suppose 20*k = c*k - 180. Calculate the remainder when k is divided by 21.
15
Let z(f) = -3*f + 7. Let v = -332 + 345. Suppose -v*i + 134 = -22. Calculate the remainder when z(-5) is divided by i.
10
Suppose k = -5*j - 22, 0*k = 5*j - k + 18. Let u(d) = -d**2 - 9*d + 14. Let i be u(-10). Calculate the remainder when 57 is divided by i/(60/177) - j/20.
9
Suppose -14*c + 13*c + 15 = 0. Suppose 0 = -c*k + 13*k + 140. What is the remainder when k is divided by 35?
0
Let m = -8670 + 8812. Calculate the remainder when 334 is divided by m.
50
Let t be (-9)/(72/40)*-4. Suppose 24*d + 4*i = t*d + 220, 0 = -5*d + 4*i + 293. Calculate the remainder when 101 is divided by d.
44
Suppose -28 - 3 = -s. Suppose 3*u + 235 = 4*o, 9 = -12297*u + 12300*u. What is the remainder when o is divided by s?
30
Let t be 8/32*(0 + -50)*6. What is the remainder when (-5 - t)/(1 - -1) is divided by 3?
2
Suppose 3*z + i = -3236, -1205 + 133 = z - 3*i. What is the remainder when z/(-33)*((-15)/(-2))/5 is divided by 25?
24
Suppose -2*y - 4*x - 10 = 6, -5*x = 3*y + 22. Let p(n) = n**2 - 5*n + 10. What is the remainder when 1295/14 + (-6)/y is divided by p(7)?
22
Let q = -1730 - -1825. What is the remainder when 2273 is divided by q?
88
Suppose 0 = 23*c - 14*c + 2160. Calculate the remainder when 192/2*(-12)/c*10 is divided by 17.
14
Let y = 40 + -31. Suppose -s - y*s - 2960 = 0. Let i = -167 - s. Calculate the remainder when i is divided by 33.
30
Let v(l) = -25*l - 31. Let d = -290 - -287. Calculate the remainder when v(d) is divided by 12.
8
Let m = -498 + 525. Let b = 0 - -3. What is the remainder when m is divided by b?
0
Suppose -h + 3*x + 488 = 4*h, -x + 404 = 4*h. Let b = h + -30. What is the remainder when b is divided by (-8)/3*(-54)/4?
34
Let n = -109 + -19. Let v be (n/20)/(4/(-90)*3). Suppose 2*s - 2*t = 50, -2*s - 3*t + 4*t = -v. What is the remainder when s is divided by 13?
10
Suppose -7*k = -4*k - 6. Suppose 2*x = 7*x + k*z - 97, 29 = x - 2*z. Let s(m) = -m**3 + 6*m**2 - 4*m - 5. What is the remainder when x is divided by s(4)?
10
Let f(b) = -215*b + 198. What is the remainder when f(-4) is divided by 10?
8
Suppose 5*t + 2*j = 2*t + 275, -20 = -5*j. Suppose 0 = -27*k + 28*k - 13. What is the remainder when t is divided by k?
11
Suppose -4*s + 478 + 46 = 0. Let q = 156 - s. What is the remainder when 73 is divided by q?
23
Suppose -3*w + 101*x - 104*x = -3213, 0 = 2*x. What is the remainder when w is divided by 21?
0
Suppose 3*k + 113 = 5*j, 2*j - 45 = 9*k - 8*k. Let t = 180 + -93. Calculate the remainder when t is divided by j.
21
Suppose 31*x - 4*q - 113 = 28*x, 0 = x - 2*q - 35. Calculate the remainder when 1588 is divided by x.
40
Let o(x) = -x**3 - 12*x**2 + 36*x - 64. What is the remainder when 991 is divided by o(-15)?
68
Let s(g) = -30*g - 4. Suppose -2 + 12 = -5*y. Let x(u) = u + 25. What is the remainder when s(y) is divided by x(-6)?
18
Let w(p) = -69*p + 7*p**2 - 4*p**2 + 4*p**2 - 1 + p**3 + 76*p. Let u = 0 - -5. Calculate the remainder when w(-3) is divided by u.
4
Let w(f) = 2*f**2 + 10*f + 3. Let j be w(-5). Suppose 0 = -j*t - 5*y + 75, 0 = 3*y + 11 - 2. Calculate the remainder when t is divided by 8.
6
Let x = 52 - 4. What is the remainder when ((-1)/2*11)/((249/(-72))/83) is divided by x?
36
Let t = -99 + 185. Let l(j) = 104*j. Let h be l(4). Let a = h - 394. What is the remainder when t is divided by a?
20
Calculate the remainder when 1105 is divided by (2 + (-30)/12)/(7/(-294)).
13
Suppose 3*n + 0*n = 54. Suppose 10*f = 16*f - n. Suppose 0 = -8*i + 6*i + 3*y + 10, -f*i + 15 = -4*y. Calculate the remainder when 34 is divided by i.
4
Calculate the remainder when 45663/(-124)*4/(-2)*8/12 is divided by 180.
131
Suppose 176526 = 30*p - 49*p + 40*p. Calculate the remainder when p is divided by 29.
25
Suppose -5*m + 4 = -21. Suppose s - 16 = m. Suppose 4*w + 137 = 2*r + 9, 3*w + 313 = 5*r. Calculate the remainder when r is divided by s.
20
Suppose 5*d = -r - 148 + 727, 2*d + 2*r = 230. Suppose 0 = -5*a - 75, 3*w = -w - 1234*a + 1229*a + 169. Calculate the remainder when d is divided by w.
55
Suppose -48*h = -11037 + 3933. What is the remainder when 2216 is divided by h?
144
What is the remainder when 1714 is divided by ((-123)/15)/(((-270)/75)/18)?
33
Let b(r) = -4 - r + 4*r + r + 16*r**2 - 3*r + 6. What is the remainder when b(-4) is divided by 17?
16
Suppose 2*r - 8*m = -13*m + 223, 2*r + 3*m - 217 = 0. Suppose 6*a = 16 + r. Calculate the remainder when a is divided by 1*10/6*3.
0
Suppose -4*j = -0*j - 112. What is the remainder when j is divided by (53 - 54)/((-25)/8 - -3)?
4
Let z(j) = -55*j**3 - j**2 + 1. Suppose 2*a - 5*n - 95 = 205, n + 4 = 0. Suppose 6*d = a - 20. What is the remainder when z(-1) is divided by d?
15
Calculate the remainder when -37*31/((-217)/84) is divided by 30.
24
Let j(u) = 3*u - 4. Let l be j(-19). Let g = 65 + l. Suppose g*n + 505 = 9*n. Calculate the remainder when n is divided by 21.
17
Let d(h) = 6 + h**2 - 15 + 2 - 2. Calculate the remainder when 62 is divided by d(5).
14
Suppose 5*b + 2*w - 245 = 0, -4*b - 3*w = -431 + 228. Calculate the remainder when 2489 is divided by b.
45
Suppose -2 - 8 = 2*w, -3*w = -4*x + 1867. Calculate the remainder when x is divided by 228.
7
Suppose -245 = -3*c + 5*u, 76*c - 75*c - 4*u = 84. What is the remainder when 149 is divided by c?
69
Suppose 15218 - 14462 = 7*f. Calculate the remainder when 313 is divided by f.
97
What is the remainder when 822 is divided by (866/6 - 1)*(-1542)/(-1285)?
134
Suppose 14*p = 50*p - 1584. Calculate the remainder when 77 is divided by p.
33
Suppose 34*x = -5116 + 17084. What is the remainder when x is divided by 20?
12
Let t(v) = -23*v + 32*v - v**2 + v**3 + 10 - 12*v**2 - 22*v. Suppose 3 = 3*a + x - 41, -40 = -3*a + x. What is the remainder when t(a) is divided by 5?
4
Let y = -25 - -28. Let c(p) = 18 + 0*p + 8 + 7*p - y*p. What is the remainder when c(6) is divided by 13?
11
Suppose 4*t = w - 5, -4*t - 18 = w - 7. Let m be -2 + 7/(3 + t). Suppose -m*n + 8 + 32 = 0. Calculate the remainder when 54 is divided by n.
6
Let z(i) = -3*i**3 + 14*i**2 - 16*i + 38. What is the remainder when z(-7) is divided by 39?
32
Suppose 2*v - 2*t = 550, -6*v + 5*v = -4*t - 278. Suppose -v = -5*s - 4. What is the remainder when s is divided by ((-21)/(-6) + 0)*4?
12
What is the remainder when 1332 is divided by ((-12)/((-48)/34) - 9)*-86?
42
Let b = -341 + 1359. Suppose 44*z - b = -94. What is the remainder when 117 is divided by z?
12
Let b(m) = -m**3 + 6*m**2 + 2*m + 2. Let h be b(6). Let f be ((-108)/(-63))/(2/h). Suppose -j + 4 = -f. What is the remainder when j is divided by 10?
6
Suppose 4*i - 160 = -3*u, -2*i - 20*u = -23*u - 98. Calculate the remainder when 1290 is divided by i.
0
Suppose 5*q = -4*v + q + 296, -3*v - 4*q = -226. What is the remainder when 106 is divided by v/8 - (-65)/52?
6
Let g = -882 - -884. Let f(m) = 40*m**3 - 6*m**2 + 20*m - 26. What is the remainder when f(g) is divided by 60?
10
Suppose 17*w - 9*w = 96. Let a(r) = -2*r**2 + 28*r + 12. What is the remainder when a(w) is divided by 21?
18
Let n = -3012 - -3256. What is the remainder when n is divided by 82?
80
Let x = 10124 - 9275. Calculate the remainder when x is divided by 119.
16
Let t = 99 + -148. Let b be 4*15 + -1 - (0 - 4). Let a = t + b. What is the remainder when 47 is divided by a?
5
Suppose 3*x = 4*u - 238, 0 = -2*u + 9*x - 8*x + 120. What is the remainder when 1767 is divided by u?
59
Let c = -24694 - -24712. Let k(y) = y**2 + 7*y + 2. Let r be k(-7). Suppose 0*j + 12 = r*j. Calculate the remainder when c is divided by j.
0
Suppose 2*t + 200 = -230. Let d = 257 + t. Calculate the remainder when d is divided by 23.
19
Calculate the remainder when 756 is divided by 4 - ((-212)/14 + (-33)/(-231)).
15
Let j = 65 + -64. What is the remainder when (28/16)/(j/40) is divided by (0 + (-6)/(-7))*(-20 - -48)?
22
Suppose y + 32 + 22 = 0. Let b = 60 + y. Suppose -s - b + 7 = 0. What is the remainder when 2 is divided by s?
0
Suppose -5*q - 