 -14. Calculate the remainder when a is divided by 5.
4
Suppose 7*y - 563 - 550 = 0. What is the remainder when y is divided by 20?
19
Let c(v) = 3*v**2 + 2*v + 4. Let w(n) = -n**2 + 10*n - 4. Let s = 22 + -18. Calculate the remainder when c(3) is divided by w(s).
17
Suppose g = -140 + 214. What is the remainder when 283 is divided by g?
61
Let j(g) = -g**3 + 16*g**2 + 18*g - 14. Let f be j(17). Suppose 29 + 55 = f*l. Calculate the remainder when l is divided by 15.
13
Suppose -4*d + 3*d = 228. Let u = d - -340. Suppose i = 2*l - u, -2*l = -4*i - 6 - 112. Calculate the remainder when l is divided by 14.
13
Suppose -3*n + 97 = 5*k, 6*k - 4*k - 5*n = 14. Suppose t = k + 36. Suppose 2*o + 5*w = 77, t = 2*o + w - 20. Calculate the remainder when o is divided by 19.
17
What is the remainder when 49 is divided by 75/50 + (-37)/(-2)?
9
Suppose 2*c - n = 68, -8*n = -5*c - 10*n + 188. Calculate the remainder when 264 is divided by c.
12
Let c = 22561 + -22553. Let m(g) = -5*g + 6. What is the remainder when m(-5) is divided by c?
7
Let d = -670 - -775. What is the remainder when d is divided by 8?
1
Suppose -1832 = -42*m + 352. Calculate the remainder when 518 is divided by m.
50
Let a be (-21)/28 - 59/(-4). Suppose -50 = -4*l + a. Let x = -11 + l. What is the remainder when 14 is divided by x?
4
Let p = 11 + -9. Let n = 2 + p. Let j(h) = -h**3 + 7*h**2 - 3*h - 5. What is the remainder when j(n) is divided by 16?
15
Let t(h) = -h**3 - 8*h**2 - 9*h + 9. Let f be t(-7). Suppose -f*s + 26*s = 75. Calculate the remainder when 73 is divided by s.
23
Suppose 8 = 2*w + 2*w. Let l(z) = -66 - 8*z + 4*z**w + 69 - 3*z**2 - 2*z**2. Calculate the remainder when 69 is divided by l(-5).
15
Let u = -54 + 83. Let p = -18 + u. Calculate the remainder when 19 is divided by p.
8
Suppose 0 = -13*x + 54 - 2. Calculate the remainder when 31 is divided by x.
3
Let d(o) = o + 35. Let z = 37 - 53. What is the remainder when d(z) is divided by 5?
4
Let u = 109 - 74. Suppose 0 = -3*j - 2*l + u, -2*j - 14 = -4*j + l. Calculate the remainder when j is divided by 6.
3
Suppose 4*p + 104 = 4*t, 2*t = -5*p + 90 - 10. Let l(h) = -h**3 - 18*h**2 - 22*h + 34. Calculate the remainder when l(-17) is divided by t.
29
What is the remainder when (-471)/(-4)*176/66 + -5 is divided by 13?
10
Suppose 5*y + 97 = h, -5*y + 44 = -3*h + 385. Let w = h + -83. What is the remainder when w is divided by 4/4 + (-1 + 4 - -6)?
9
Let h(q) = q**3 - 5*q**2 + 5*q - 3. Let z = -6 - -29. Suppose -3*v = -5*t + z, 2*t + 4*v - 6 = 2*v. Calculate the remainder when t is divided by h(4).
0
Suppose -p + 5 = m - 2*m, 8 = 2*p - 4*m. What is the remainder when p is divided by (6 - 66/10)*-5*1?
0
Let x(t) = -t**3 - 11*t**2 - 7*t - 67. Let d = -22 - -41. What is the remainder when d is divided by x(-11)?
9
Suppose 278*d = 11*d + 6675. Let c(w) = w**2 - 3*w - 5. Let z be c(4). What is the remainder when d is divided by (-15)/(-2) - z/(-2)?
4
Suppose 203 = 5*l - n, 2*n - 7*n - 113 = -3*l. Calculate the remainder when 187 is divided by l.
23
Let i = -30 - -32. Suppose i*r + s = 8, 0*r + 2 = r + s. Calculate the remainder when 14 is divided by r.
2
Suppose -2*n - 2*k - 30 = -3*n, 5*n - 111 = -3*k. What is the remainder when n is divided by 11?
2
Suppose 35*c = 31*c + 476. What is the remainder when c is divided by 20?
19
Let x(i) = 16*i + 6. Let j(s) = 11*s - 7. Let n = 70 - 67. What is the remainder when x(6) is divided by j(n)?
24
Suppose -62*a = 25*a - 31233. What is the remainder when a is divided by 92?
83
Let z = 43 - 22. Calculate the remainder when 17 is divided by 3 + z*1/3.
7
Suppose 4*n - 957 = 5*v, 21*n - 20*n = -3*v + 235. Calculate the remainder when n is divided by 20.
18
Let h(m) = 22*m**2 + 3*m + 1. Let n be h(-2). Let i = n - 78. Calculate the remainder when -2 + (0 - -1) - -7 is divided by i.
1
What is the remainder when 19 is divided by -1*(-3 + -2) - -7?
7
Calculate the remainder when 188 is divided by ((-1)/(-5))/((-15)/(-75))*38.
36
Suppose 0 = -3*j + 12, 40*p - 304 = 36*p + 5*j. Calculate the remainder when p is divided by 22.
15
Suppose -330 = -8*i + 662. What is the remainder when i is divided by 30?
4
Calculate the remainder when 131 is divided by (-2)/(-6) + -125*14/(-105).
12
Suppose 90*g = 697 + 113. What is the remainder when 86 is divided by g?
5
Suppose -2*t - 5*k = -36, -t + 5*k + 20 = 4*t. Suppose -t*p = p - 162. What is the remainder when p is divided by 3?
0
Let g = 9 + 12. Let s(j) = -2*j**2 + 2*j + 346. Calculate the remainder when s(12) is divided by g.
19
Let m be (0 - (2 + 33/9))*21. Calculate the remainder when 10/(0 + -2 + (-252)/m) is divided by 44.
41
Let u(t) = -2*t - 5. Let f be u(-5). Let c = 8 - f. Suppose -21 = -c*y + j - 1, -4*y - 4*j = -16. Calculate the remainder when 16 is divided by y.
4
Suppose 4*p + 0*p + 8 = 4*n, 2 = 5*n - p. Suppose n = -7*j + j + 24. What is the remainder when j is divided by 1?
0
Suppose 29 = 3*p - 2*f, -p + 4*f + 47 = 4*p. Let a = -1762 - -1768. Calculate the remainder when p is divided by a.
5
Suppose 0 = 5*v + 3*x - 5*x - 355, 0 = -5*v - x + 370. What is the remainder when v is divided by 70?
3
Suppose -2*p = -p - 2. Calculate the remainder when 13 is divided by p/4*(21 - 5).
5
Suppose 39 - 59 = -2*c. What is the remainder when (-4)/(-6)*(-222)/(-4) is divided by c?
7
Let p be (4 - 18) + 3 + 1. Let w = 48 + p. What is the remainder when w is divided by 5?
3
Let k = 591 + -197. Suppose 4*n = -3*x + 298, n + n = -4*x + k. Suppose 4*f - g = x, 4*f + 0*g + 4*g - 108 = 0. Calculate the remainder when 73 is divided by f.
23
Calculate the remainder when 116 is divided by 11/(-55)*2 + 234/10.
1
Suppose 2*l = -l + 216. Suppose 6*p - l = 2*p. Suppose -3*f = -6*f + 96. Calculate the remainder when f is divided by p.
14
Let s be (-1)/(-2)*0 + 2. Let c(b) = -b + 2*b + 2*b**s + 2*b**2 - 3*b + 4. What is the remainder when c(-3) is divided by 12?
10
Calculate the remainder when (2/(-4))/((-12341)/(-1764) - 7) is divided by 22.
16
Let n(w) = 4*w + 81. Let u(t) = -t**2 + 6*t - 4. Let r be u(4). Let p = 24 + r. What is the remainder when n(0) is divided by p?
25
Suppose 0 = -2*g + 75 - 29. What is the remainder when (186/(-1488))/(-2*3/4272) is divided by g?
20
Suppose 3*q - 98 = -4*u, 0 = -2*u - 7*q - 31 + 91. Calculate the remainder when 1698 is divided by u.
19
Let b be 17/(3 + (-20)/5). Let z = b + 27. Calculate the remainder when 10 is divided by (-1)/((-5)/z) + 4.
4
Suppose 3*m - 10 = 8*m. What is the remainder when 68 is divided by 3 - (4 - -14)/m?
8
Suppose -4*i = -143*b + 142*b + 39, 5*i = -5*b + 145. What is the remainder when b is divided by (-2)/(-4) + (-62)/(-4)?
15
Let o = 30 + -25. Suppose -m - o*p - 19 = 0, 4*p + 50 = 7*m - 2*m. Calculate the remainder when 29 is divided by m.
5
Suppose -2*b + 105 = g, -3*g + 240 = 5*b - 72. Let m = -10742 - -10769. Calculate the remainder when g is divided by m.
18
Let z = 91 - 80. What is the remainder when z is divided by 4?
3
Let s(f) = -f**2 + 16*f + 20. Calculate the remainder when s(15) is divided by 21.
14
Let v(s) = 5*s**2 - 23*s. Suppose 3*q - 32 = -q. Suppose 3*f - q*f + 244 = 3*j, -2*f = 3*j - 103. What is the remainder when f is divided by v(5)?
7
Suppose 2*l = -2*l - 108. Let i = l + 138. Suppose p - 5*j = 6, -4*p - 41 = 3*j - i. Calculate the remainder when 62 is divided by p.
14
Suppose -2 = -4*m + 6. Let w(i) = 4*i**2 + 3*i - 2. What is the remainder when 78 is divided by w(m)?
18
Let q = 612 + -104. What is the remainder when q is divided by 51?
49
Suppose 5*q - 3*q - 36 = 0. Calculate the remainder when 2/(-16)*-8 + 33 is divided by q.
16
Calculate the remainder when (-15)/(-90) - 1388/(-24) is divided by 16.
10
Let h(q) be the third derivative of q**6/120 - 7*q**5/30 + 11*q**3/6 - 6*q**2. Calculate the remainder when 1 + 1 + 15 + 4 is divided by h(14).
10
Let m = 47 - 34. Let g(n) = -n**3 + 9*n**2 - 4*n - 8. Calculate the remainder when g(6) is divided by m.
11
Suppose -s = -12 - 17. What is the remainder when 111 is divided by s?
24
Suppose 0 = -19*r + 14*r + 70. Suppose 70 = 7*c + r. Calculate the remainder when c is divided by 6.
2
Suppose 0 = 3*z - 481 - 41. What is the remainder when z is divided by ((25/(-2))/(-5))/(2/20)?
24
Let h(y) = 0*y - 5*y**3 + 6*y**3 + 7*y**2 - 7 + 2*y. Suppos