se -q*i + 6*i = 112. What is the remainder when i is divided by 16?
8
Suppose 4*r - 19 = 9, 4*u + 5*r = 11139. What is the remainder when 8336 is divided by u?
8
Let o(w) = 43*w + 3. Let j be o(-3). Let n = j - -212. Let z = n + -69. What is the remainder when z is divided by 5?
2
Let b be 1*4 - -6*506/33. Suppose 0 = 3*j - b - 24. What is the remainder when j is divided by 14?
12
Suppose 0 = l + 5*b - 652 + 127, 3*l = b + 1591. What is the remainder when l is divided by 38?
36
Suppose 667 = a + 2*t, -139*a - 2*t + 1338 = -137*a. Calculate the remainder when a is divided by 16.
15
Suppose 4*l - 14 = -17*z + 20*z, 4*l + 2*z = 4. Suppose 17*r - l*r = 90. Calculate the remainder when 124 is divided by r.
4
Let u(q) = -251*q + 1933. Calculate the remainder when u(4) is divided by 463.
3
Let y = -478 + 475. Let z(m) = -m**3 + m**2 - 4*m - 7. Calculate the remainder when z(y) is divided by 12.
5
Suppose -99*c + 7617 = -303. Calculate the remainder when c is divided by 17.
12
Let c be 6/(-5)*15/6. Let t(v) = 7*v**2 - v - 1. Suppose 5*h = 5*x - x - 152, 5*x + 5*h = 145. What is the remainder when t(c) is divided by x?
32
Let l(g) be the second derivative of g**4/12 + 5*g**3/6 - 10*g**2 + 12*g. Let c = 354 + -351. Calculate the remainder when l(4) is divided by c.
1
Let z = -35 + 35. Let i be (12/(-8))/(3/(-8)). Suppose -4*q + u + 156 = z, u + i = 2*u. Calculate the remainder when q is divided by 14.
12
Let s(n) = -n**3 - 6*n**2 + 10*n + 12. Let m be s(-8). Let w = 239 + m. Suppose -5400 = -269*d - 162*d + 341*d. Calculate the remainder when w is divided by d.
59
Let o(r) = r**3 + 19*r**2 - 26*r - 7. Let g(m) = m**3 + 4*m**2 + 1. Let f(j) = 2*g(j) - o(j). What is the remainder when 247 is divided by f(8)?
22
Let y(k) = k**3 - 67*k**2 + 1065*k - 45. Calculate the remainder when y(42) is divided by 153.
126
Suppose -22*h + 795 = -19*h. Calculate the remainder when h is divided by 98.
69
Let g(l) = l**3 + 28*l**2 - 6*l + 761. Calculate the remainder when 1423 is divided by g(-29).
13
Let j be ((-6)/(-4))/(32/(-1536)). Let i = 435 - j. What is the remainder when i is divided by 17?
14
Let m = -53 + 103. Let n = 66 - m. What is the remainder when ((-27)/2)/((-8)/n) is divided by 14?
13
Let x be ((-2)/(-4))/(15/16350). Let u = -498 + x. Calculate the remainder when u is divided by 15.
2
Suppose -5*l - 24 = -499. Suppose 0 = 102*k - l*k - 518. Suppose -4*o + 78 = -2*o. What is the remainder when k is divided by o?
35
Suppose 414*o + 448 = 4*g + 407*o, -o + 101 = g. Calculate the remainder when 301 is divided by g.
91
Let h = -393 - -66. Let v = 345 + h. What is the remainder when 101 is divided by v?
11
Let c = 29367 + -29253. Calculate the remainder when 1482 is divided by c.
0
Let z be ((-3)/1)/(4 + 245/(-63)). Let n = z - -54. What is the remainder when 105 is divided by n?
24
Suppose -201 = -8*w + 457 + 262. What is the remainder when 395 is divided by w?
50
Suppose 132*f - 258 = 126*f. Let a be 3 - (-1)/(3/6). Suppose -2*p = -r - 43, 0*r = -a*r + 15. What is the remainder when f is divided by p?
20
Let w(j) = 23*j**2 + 11*j + 17. Let z be w(-2). Let b = 91 - z. Suppose -b*l + 95 = l. What is the remainder when 29 is divided by l?
10
Let b = 385 + -385. Let x(g) = g**3 + 4*g**2 + 2*g + 149. What is the remainder when x(b) is divided by ((-6)/4 - 1)*-20?
49
Suppose -6823 = -68*k + 4193. What is the remainder when k is divided by 80?
2
Let b(w) = 138*w + 7463. What is the remainder when 22447 is divided by b(-54)?
7
Let k = -75 + 188. Suppose -146*n + 3746 = 373 + 15. What is the remainder when k is divided by n?
21
Suppose -4147 - 821 = -67*o - 117*o. Calculate the remainder when 323 is divided by o.
26
Let i be -4 + 56 - 3 - 1/1. Let o = i + -41. What is the remainder when 551 is divided by o?
5
Suppose 0 = -5*d + 3*h - 620 + 1884, -2*h = -11*d + 2813. What is the remainder when d is divided by 3?
2
Suppose -3*q + 2783 = 2681. What is the remainder when 409 is divided by q?
1
Let b be ((-20)/15)/2*3 + 6186. Suppose -b + 1331 = -23*d. Let j = -20 - -73. What is the remainder when d is divided by j?
52
Let n(t) = -62*t - 654. What is the remainder when n(-36) is divided by 13?
5
Let m = -45 + 61. Suppose 0 = -7*x - 3*x - 410. Let i = x - -47. Calculate the remainder when m is divided by i.
4
Let p = -3464 + 3507. Calculate the remainder when 723 is divided by p.
35
Let u be -1 - (0/1 - 1). Suppose u = 5*k + 2*s - 5*s - 271, -3*k = -3*s - 159. Let p = -34496 + 34773. Calculate the remainder when p is divided by k.
53
Suppose -4*x = -x - 27. Suppose x*c = 13*c - 16. Suppose t + 3*o = c, 4*t = 8*t - 3*o - 76. Calculate the remainder when 42 is divided by t.
10
Suppose -6*b = 44 + 40. Let r(d) = d**3 + 13*d**2 - 14*d + 9. Calculate the remainder when 42 is divided by r(b).
6
Suppose 6*x - 2*x - 8 = 0. Suppose -x*c + 392 - 88 = t, t - 151 = -c. What is the remainder when c is divided by 40?
33
What is the remainder when 8172/39*4 + (-10)/65 is divided by 42?
40
Let m(z) = 23*z**2 + 24*z - 9. Let g be (8/(-1))/(-33 + 35). What is the remainder when m(g) is divided by 53?
51
Let t(c) = -c**3 + 3*c**2 - c - 2. Let j be -102*(121/77 - (-8)/(-14)). Let s = j + 131. Calculate the remainder when t(-4) is divided by s.
27
What is the remainder when (-6)/((28/(-17360))/((-2)/(-12))) is divided by 21?
11
Suppose -5*g + 17 = 4*s, 6 = 3*s + 3*g - 9. Suppose s*n = 7*n - 7. Calculate the remainder when 4 + 3 + n + 3 is divided by 2.
1
Let q(c) = 57*c**2 - 1. Suppose -11*z - 5*z = -1760. What is the remainder when z is divided by q(1)?
54
Let u(s) be the third derivative of 29*s**4/24 - 49*s**3/3 - 48*s**2. What is the remainder when u(6) is divided by 24?
4
Suppose -1171 = 13*i + 3015. Let l = i + 404. Calculate the remainder when l is divided by 30.
22
Let z be 101*2*(-7)/(-14). Let y = z + -66. What is the remainder when 65 is divided by y?
30
Suppose 18 = 7*a - 5*a. Let s(u) = u - 10. Let m be s(a). Let k(n) = -37*n**3 + n**2 - n - 1. What is the remainder when 75 is divided by k(m)?
37
Suppose -z + i + 98 = 4*i, -3*z + i = -334. Suppose 3*b = -4*w + 80, -23*b + 22*b + 2*w = -30. What is the remainder when z is divided by b?
26
Suppose 3509 + 73726 = 291*i - 234*i. Calculate the remainder when 1357 is divided by i.
2
Let u(b) = -555*b + 8338. Calculate the remainder when u(14) is divided by 28.
8
Let p(k) = -28. Let a(o) = o**2 - o + 28. Let b(t) = 5*a(t) + 4*p(t). Calculate the remainder when b(3) is divided by 12.
10
Suppose -140*j + 106*j + 10370 = 0. Calculate the remainder when j is divided by 140.
25
Suppose 554*v + 150 = 560*v. Suppose v*c = -552 + 1702. Calculate the remainder when c is divided by 13.
7
Let s = 286 - 406. Let v = 129 + s. Calculate the remainder when 78 is divided by v.
6
Suppose 5*d + 4*u = 4687, 2*u + 2946 = 4*d - 814. Calculate the remainder when d is divided by 182*14/252 + (2 - (-76)/(-36)).
9
Let p(s) = -21*s - 176. Calculate the remainder when 69 is divided by p(-9).
4
Let i(l) = -l**2 + 127*l - 2049. Calculate the remainder when 1568 is divided by i(108).
2
Let t(b) = 2*b - 22. Let a be t(20). Suppose 7*x - 6*x = a. Calculate the remainder when 68 is divided by x.
14
Let y be 44/20 - 10/50. Suppose -w + 33*d = 32*d - 579, -y*d + 1722 = 3*w. What is the remainder when w is divided by 20?
16
Calculate the remainder when 16 + (-32)/((-320)/7770) is divided by 150.
43
Let f(k) = 8*k**3 + k**2 + 4*k + 3. Let w be f(-2). Let o = 69 + w. Suppose -5*d + 94 + 51 = -o*m, 3*m = 0. Calculate the remainder when d is divided by 8.
5
Suppose -499*f = -491*f - 576. Calculate the remainder when f is divided by 20.
12
Suppose -4*b + 4634 = 4078. Calculate the remainder when 10003 is divided by b.
134
Let l = -3401 - -3931. Calculate the remainder when l is divided by 220.
90
Let a = -33475 + 34687. What is the remainder when a is divided by 30?
12
Let w = 4460 - 4328. Calculate the remainder when 201 is divided by w.
69
Let b be 1 - (2 - 2) - 14/(-7). Suppose -i = b, -2*i + 774 = 3*t - 6*i. What is the remainder when t is divided by 64?
62
Calculate the remainder when 3/(48/5084) - 7/(-112)*4 is divided by 103.
9
Calculate the remainder when 6763 is divided by 28/(700/(-125)) + 2259.
1
Let w = -546 + 984. Let x = -230 + w. Let n(t) = 2*t**2 + 8*t + 6. C