Calculate the remainder when w(a) is divided by 6.
4
Suppose 5*k = 5*x - 110, 5*x - 80 = -k - 4*k. Let a = 2 + x. Calculate the remainder when 38 is divided by a.
17
Let k = -2150 + 2207. Let v(i) = -i**2 + i - 3. Let w be v(4). Let g = w - -30. What is the remainder when k is divided by g?
12
Suppose -27*v - 224 = -35*v. Calculate the remainder when 135 is divided by v.
23
Suppose 11*w = 5*n + 9*w - 529, w = n - 107. Calculate the remainder when n is divided by 36.
33
Suppose 0 = 4*h - 344 + 32. Calculate the remainder when h is divided by 534/27 + 2/9.
18
Let x(s) = 5*s - 38. Let l be x(8). Suppose 4*t = -l*q + 14, q - 2*q = -5*t - 42. What is the remainder when (26/(-3))/(4/(-30)) is divided by q?
14
Suppose 33*l = 29*l + 60. Suppose 3*s - 18 - 5 = -d, -l = -d - s. What is the remainder when 43 - 0 - (0 - 0) is divided by d?
10
What is the remainder when (-3 - -2)/((-3)/678) is divided by 75?
1
Let w(k) = -k**2 - 42*k - 23. Let t(p) = 3*p - 2. Calculate the remainder when w(-41) is divided by t(3).
4
Let s = -1347 + 1374. What is the remainder when 76 is divided by s?
22
Suppose -6*y - 380 = -10*y. What is the remainder when y is divided by 50?
45
Suppose -13 = -6*f + 149. What is the remainder when 98 is divided by f?
17
Let f = 284 + -80. Suppose -3*o + 65 = -u, 3 + 1 = u. Calculate the remainder when f/10*(-110)/(-33) is divided by o.
22
Let j = -2 + 184. Calculate the remainder when j is divided by 37.
34
Suppose 53 = 5*d - 2*a, -3*a + 11 = 5*d - 47. Let s = 35 - d. Suppose s = 6*f - f + 2*r, -4*r = 3*f - 20. Calculate the remainder when 14 is divided by f.
2
Suppose -6*x = 586 - 1816. What is the remainder when x is divided by 16?
13
Suppose 93*u + 98 = 100*u. What is the remainder when 50 is divided by u?
8
Suppose 17*v + 855 = 20*v. Calculate the remainder when v is divided by 22.
21
Let v = -1487 - -1541. What is the remainder when 294 is divided by v?
24
Let b be (10/((-240)/(-18)))/((-1)/(-104)). Let o = 8 + b. What is the remainder when o is divided by 18?
14
Suppose 0 = -16*p + 8*p + 48. Calculate the remainder when p is divided by (-45)/(-6)*6/9.
1
Suppose -36*o + 16*o + 540 = 0. Calculate the remainder when 916 is divided by o.
25
Suppose 1367 = 62*s - 617. Calculate the remainder when s is divided by 4.
0
Let g(d) = 3*d**2 + 5*d + 23. Calculate the remainder when g(8) is divided by 37.
33
Let x(v) = -v + 11. Let b be x(6). Suppose q - 3*q - 95 = 5*n, 3*n + 57 = -b*q. Let y = n - -37. What is the remainder when 33 is divided by y?
15
Suppose a + 71 = q, 3*q + 10*a = 11*a + 223. What is the remainder when 195 is divided by q?
43
Suppose -82 = -2*c - 4*q, 5*c = 4*q + 224 - 33. What is the remainder when 58 is divided by c?
19
Let k = -448 - -482. Let t(m) = m**3 - 7*m**2 + 9*m - 9. Let q be t(6). Let b = k - q. Calculate the remainder when b is divided by 7.
4
Suppose 62*o - 936 = 54*o. Calculate the remainder when 463 is divided by o.
112
Suppose 30 = 2*t + t. Suppose -4*g + z = -59, -3*z + 8*z = g - t. What is the remainder when 2 + -2*56/(-2) is divided by g?
13
Let q = -6 - -32. Let y be (-29)/1 - (3 - (1 - -2)). Let l = y + 36. Calculate the remainder when q is divided by l.
5
Suppose -5*c + 8 = -c. Let t = 51 + -49. Calculate the remainder when c is divided by t.
0
Let q(v) = -v**3 + 11*v**2 - 9*v + 5. Calculate the remainder when 254 is divided by q(10).
14
Let n(l) = l**2 - 7*l. Let d be n(5). Calculate the remainder when 45 is divided by (-16)/5*25/d.
5
Suppose 0 = 2*m - 8 - 0. Suppose -m*d + a = -342, -1 = a + 1. What is the remainder when d is divided by 22?
19
Let f(o) = 3*o - 3. Let x be f(2). Suppose x*r = -r. What is the remainder when 1/(2/6 - r) is divided by 2?
1
Suppose -11*g + 0*g + 5137 = 0. Calculate the remainder when g is divided by 67.
65
Suppose h + 53 - 8 = 5*u, 15 = -3*h. Let f = u - 0. Suppose 0 = 3*r - f - 4. What is the remainder when 14 is divided by r?
2
Let w(n) = -n**3 - 11*n**2 - 36*n - 22. Let j(k) = k**2 - k - 1. Calculate the remainder when w(-8) is divided by j(-4).
17
Let o = 1200 - 1135. Calculate the remainder when o is divided by 20.
5
Let a(j) = -2*j**3 + 17*j**2 - 5*j - 6. Let n be a(8). What is the remainder when 94 is divided by 298/6 - 12/n?
45
What is the remainder when 268 is divided by (2/8)/((-6)/(-1032) + 0)?
10
Let k be 5 + (-2)/(-4)*-22. Calculate the remainder when 10 is divided by 12/2*k/(-4).
1
Suppose 0 = 21*r - 22*r - 4, 2*r = 5*g - 233. What is the remainder when g is divided by 10?
5
Let r = 86 + 214. Suppose 25*l + r = 29*l. What is the remainder when l is divided by 13?
10
Suppose 95 = -w + 8. Let j be w/3 - (7 + -5). What is the remainder when (-1)/(2/6) - j is divided by 5?
3
Suppose 5*p + 5*a = 7*p - 106, -5*p + 248 = -4*a. What is the remainder when p is divided by 7?
6
Suppose 56 = 3*p + 4*l, -2*p - l = -0*p - 29. What is the remainder when p is divided by 1?
0
Suppose -628 = 7*g - 11*g. Let x = g + -120. What is the remainder when x is divided by 19?
18
Let b(j) = j**3 - 12*j**2 - 11*j - 13. Suppose c + c - 56 = 0. Suppose -x = 5*l - c, -3*l + 1 = 3*x - 47. What is the remainder when 76 is divided by b(x)?
11
What is the remainder when 236 is divided by 26/3 + (-9)/(243/18)?
4
Suppose 3*s - 4*s - 13 = 0. Let k(l) = l**3 + 14*l**2 + 10*l - 11. Calculate the remainder when k(s) is divided by (4/(-6))/(2/(-30)).
8
Let w = -57 - -37. Let a be (3/2)/(-1)*-4. Calculate the remainder when 11 is divided by (3 + w/8)*a.
2
Let m(h) = -8*h - 75. Let t be m(-25). Let y = t + -119. What is the remainder when 27 is divided by y?
3
Let n(w) = 4*w**2 + 85*w + 2. Calculate the remainder when n(-22) is divided by 19.
11
What is the remainder when 555 is divided by (-21 + 17)*(-226)/8?
103
Suppose 0*x - 9 = -3*x. Suppose 47*q - 40*q = 0. Suppose q = x*p - 0*p - 117. What is the remainder when p is divided by 8?
7
Suppose t + 3 = -2*t, -2*y - 4*t = 0. Let j(g) = -g**3 - 4*g**2 - 3*g + 2. Let f be j(-3). Suppose h + 0 = f. Calculate the remainder when y is divided by h.
0
Let f(t) = -15*t + 67. Let m be f(4). Let v(l) = -3 - l + 6 + 7. What is the remainder when 5 is divided by v(m)?
2
Let l be (-2)/(-3) + (-34)/6. What is the remainder when (-11 - l)*(-2)/2 is divided by 2?
0
Suppose -8*i + 267 = 123. What is the remainder when 104 is divided by i?
14
Let q = 1086 - 809. What is the remainder when q is divided by 14?
11
Suppose 0 = 3*v - 5*f - 97, -81 - 54 = -5*v + 3*f. What is the remainder when 67 is divided by v?
19
Suppose -107 + 292 = 5*a + 3*h, -3*a = -h - 111. Calculate the remainder when 147 is divided by a.
36
Let p = 4794 + -3036. What is the remainder when p is divided by 16?
14
Suppose -10 = w - 26. Suppose -120 = -4*a + 2*a. What is the remainder when a is divided by w?
12
Suppose -h + 16 = -9. Let g be -28*((-5)/(-3) + (-1)/(-3)). What is the remainder when h is divided by ((-1)/12*3)/(2/g)?
4
Let y(h) be the first derivative of -h**4/4 - 2*h**3/3 - 5*h**2/2 - 2*h + 14. Calculate the remainder when y(-3) is divided by 12.
10
Let x = -512 + 882. What is the remainder when x is divided by 29?
22
Let t(c) = -c**3 - 6*c**2 - 7*c + 2. Let m = -34 - -28. What is the remainder when t(m) is divided by 23?
21
Let v(g) = 3*g**3 + 2*g - 1. Let a be v(1). Calculate the remainder when 2912/260 - 1/5 is divided by 34/8 - 1/a.
3
Let p be (-156)/(-15) - ((-24)/20)/2. Let r = p + 14. What is the remainder when 74 is divided by r?
24
Let m(o) = -o**2 - 6*o - 6. Let q be m(-4). Suppose 3*u - 13 = q*u + w, 5*u + 5*w - 85 = 0. Calculate the remainder when (3/12)/((-1)/(-172)) is divided by u.
13
Let y = 98 + -27. Let z = y - 68. What is the remainder when 3 is divided by z?
0
Let h(a) = 3*a**2 + 14*a + 16. Calculate the remainder when h(-10) is divided by 46.
38
Let m(f) = -f**3 - 15*f**2 + 2*f + 16. Let h be m(-15). What is the remainder when 74 is divided by h*(-10)/4 - -4?
35
Suppose -3*v - 3*u = -0*v - 600, -v - 3*u + 194 = 0. Let b(c) = 2*c**2 + 13*c - 4. What is the remainder when v is divided by b(-9)?
39
Suppose 2*o + 6 = i, -i - 13*o = -16*o - 1. Calculate the remainder when ((-133)/(-7))/(0 + 1) is divided by i.
3
Let y(p) = 4*p**2 + 50*p + 176. Calculate the remainder when 232 is divided by y(-6).
12
Suppose -b - b = 2, 18 = 5*s - 3*b. Let f = s + 15. Calculate the rema