late the remainder when 5 - ((-51)/12 + 10/8) is divided by q.
2
Suppose 4*i - 557 = -97. Let d(r) = -r**3 - 3*r**2 + 5. Let a be d(-3). Suppose a*b = -15 + 210. Calculate the remainder when i is divided by b.
37
Suppose 3*z - 22 = -4. Suppose -5*x - 7 = 4*k, -4*k - 1 = -3*x + z*x. Calculate the remainder when 4 is divided by k.
0
Suppose 0 = -6*j + j + 75. Suppose -2*n = -5*z + 80 + 145, 4*n = 4*z - 192. Calculate the remainder when z is divided by j.
13
Let w be (-25)/(-30) + (-2)/(-12). Suppose -2*f + w = -49. Suppose -5*j + 70 + f = 0. What is the remainder when j is divided by 6?
1
Suppose t + 7*i = 2*i + 55, 0 = 3*t + 2*i - 178. Let k be 2 + 1 + (5 - -121). Suppose -k = -5*m + 26. What is the remainder when t is divided by m?
29
What is the remainder when 95 is divided by (42/12)/(4/16)?
11
Let k = -74 - -116. Calculate the remainder when 159 is divided by k.
33
Let m = -1878 + 1904. What is the remainder when 54 is divided by m?
2
Let q = 50 - 23. Let k = q + -18. Suppose -2*t - 69 = -5*t. What is the remainder when t is divided by k?
5
Let u(z) = z**2 + 2*z. Let a be u(1). Suppose 0 = -k + a*t + 1 + 4, -4*k = 5*t - 71. Calculate the remainder when 49 is divided by k.
7
Let p(x) = x + 15. Let m be p(-16). Let h(l) = -3*l**3 - 4*l**2 + l - 3. Let v be h(-6). What is the remainder when m/2 + v/22 is divided by 12?
10
Let k = -22 + 4. What is the remainder when 59 is divided by (-170)/51*k/4?
14
Let f(l) = 2*l**2 - l - 15. Calculate the remainder when 108 is divided by f(5).
18
What is the remainder when (3/6)/(5/(-50)) + 66 is divided by 39?
22
Let l(t) = t**2 + 18*t - 10. What is the remainder when 56 is divided by l(-20)?
26
Let a(r) = r**3 + 4*r**2 + 3*r + 4. Let f be a(-4). Let m = f + 41. What is the remainder when m is divided by 19?
14
Let w(r) = 85*r - 33. Let l be w(13). Let q = -154 - -223. What is the remainder when q is divided by l/60 + (-2)/(-15)?
15
Let b be 314/(-4) + 15/6. Let l = -43 - b. What is the remainder when l is divided by 23?
10
Suppose -3*p = -8*p - 5*c + 2060, 4*p + 3*c - 1651 = 0. Calculate the remainder when p is divided by 32.
31
Let p(t) = 0*t - 2*t - 7 + 33. What is the remainder when p(-11) is divided by 17?
14
Suppose 15*l - 51 = 279. Calculate the remainder when 768 is divided by l.
20
Let b = 205 + -182. What is the remainder when b is divided by 6?
5
Suppose 298 - 9348 = -25*k. Calculate the remainder when k is divided by 46.
40
Suppose -2*l = -1 - 1. Let j(t) = 3*t - 108. What is the remainder when j(38) is divided by l?
0
Suppose 7*p = 3924 - 3861. Suppose -2*n - 6 = 0, -2 = 3*k - n - 14. Suppose 0 = 2*v + k*v - 110. What is the remainder when v is divided by p?
4
Let f = 48 + 141. What is the remainder when f is divided by 65?
59
Suppose -5*t - j = -18, -1 = 3*t + 2*j - 9. Let i(h) = h**2 - 3*h + 8. Calculate the remainder when i(t) is divided by 6.
0
Suppose -17 + 14 = -g, -3*s + 114 = -4*g. Suppose 0 = 3*d - 9, -2*y + 44 = -2*d + 4. Calculate the remainder when s is divided by y.
19
Let f = -2403 - -2517. What is the remainder when f is divided by 15?
9
Let g(f) = 7*f + 9. Let c(p) = -10*p - 13. Let w(u) = 5*c(u) + 7*g(u). Suppose 0 = 2*k - 0*k + 24. Calculate the remainder when 34 is divided by w(k).
4
Let j = 3419 - 3344. Let w = -18 + 25. Calculate the remainder when j is divided by w.
5
Let c = 451 - 401. What is the remainder when c is divided by 21?
8
Let p(a) = -20*a + 253. Calculate the remainder when 192 is divided by p(12).
10
Let q(i) = i**2 - i - 1. Let g be q(2). Let z(u) = 2*u**2 + u + 1. What is the remainder when z(6) is divided by 22 + -1 + -2 + g?
19
Let j(p) = 7*p - 3*p - 2*p - 6 + p**2 + 8*p. Suppose -6*z + 2*z - 48 = 0. Calculate the remainder when j(z) is divided by 7.
4
Let a be 4 + 1 + (-216)/72. Suppose -q - 17 = -3*u + 161, -5*q - 170 = -3*u. Suppose 0 = p + a*p - u. Calculate the remainder when p is divided by 7.
6
Suppose -3*x + 13 + 53 = 0. Calculate the remainder when (-2)/3 + (-8)/((-96)/788) is divided by x.
21
Let d be (-359)/(-7) + 16/(-56). Suppose -2*r + 4*t + 7 = -33, -d = -3*r + 3*t. What is the remainder when r is divided by 5?
4
What is the remainder when ((-138)/6 - -9)*-11 is divided by 56?
42
Let c(t) = t**3 - 20*t**2 - t + 22. Let p be (-90)/24 - 3/12. What is the remainder when 4/3 + p/(-6) is divided by c(20)?
0
Suppose -2760 = -20*n - 60. What is the remainder when n is divided by 37?
24
Let h = 73 - 70. Suppose -2*q - h*p + 16 = -5*p, 3*q + p - 44 = 0. Calculate the remainder when 35 is divided by q.
9
Suppose 6 = -3*c, 5*c - 39 = 4*j - 357. Let q = j - 72. Calculate the remainder when 14 is divided by q.
4
Suppose -3827 - 573 = -100*o. Let n = -3 + 18. What is the remainder when o is divided by n?
14
Let c be 2/6*1 + 16/6. Calculate the remainder when 13 is divided by (c/(-4))/((-42)/224).
1
Let z(h) = 5*h**3 - h - 1. Let b(w) = -w**3 - 4*w**2 + 6*w + 4. Let l be b(-5). Let q be z(l). Let k = q - -15. What is the remainder when 27 is divided by k?
7
Suppose -302 = -7*r + 1287. Calculate the remainder when r is divided by 82.
63
Let q = -12 + 27. Let u = q - 5. What is the remainder when 4 is divided by (-30)/25*u/(-4)?
1
Let j(y) = -2*y - 3. Let l be j(-13). Let p = l - 4. What is the remainder when 35 is divided by p?
16
Let p = 400 - 339. Calculate the remainder when p is divided by 21.
19
Let u(k) = -k**2 - 7*k - 9. Let s be u(-7). Let o(r) = -r - 1. Calculate the remainder when 21 is divided by o(s).
5
Let p(b) = -4*b + 3. Let g be (-20972)/168 - (-1 - 14/(-12)). Let y = g + 198. Calculate the remainder when y is divided by p(-4).
16
Suppose 0 = -5*w + 43 - 33. Suppose -2*z - 2*l + 32 = -3*l, -w*l = z - 11. Calculate the remainder when z is divided by 8.
7
Let t = 113 + 74. Let q = t + -144. Calculate the remainder when q is divided by 9.
7
Suppose 10 = -s + 46. What is the remainder when 137 is divided by 8/s - (-410)/18?
22
Let t be (-20)/(-30)*(0 + 27). Suppose 3*n - 15 = 2*h + t, -3*n + 3*h = -33. Calculate the remainder when 40 is divided by n.
7
Suppose 5*f - 170 = 4*v, 3*v - 58 - 77 = -5*f. Calculate the remainder when f is divided by 4.
2
Suppose -23 = o + z - 2*z, -16 = -4*z. Let t = -10 - o. What is the remainder when 7 + (5 - 12) - (-8 + -8) is divided by t?
7
Suppose -4*f + 2*n + 2*n = -500, 5*f = -2*n + 646. What is the remainder when f is divided by (-236)/(-7) + 10/35?
26
Let p(i) = i**3 + 13*i**2 + 10*i + 13. What is the remainder when p(-12) is divided by 7?
2
Suppose 0 = -84*n + 834 + 3534. Calculate the remainder when 98 is divided by n.
46
Suppose 0 = x + 4*y - 34, 4*y = -3*x + 3*y + 58. What is the remainder when 107 is divided by x?
17
Let r = -482 + 487. Calculate the remainder when 74 is divided by r.
4
Suppose 5*x = -x + 4*x. Suppose 5*z - y + 5 - 16 = x, -y - 8 = -4*z. What is the remainder when 5 is divided by z?
2
What is the remainder when 26 is divided by (1 + (-57)/15)/((-2)/10)?
12
Let l = -212 - -227. Calculate the remainder when 29 is divided by l.
14
Suppose 2*s - 13 + 61 = 0. What is the remainder when 55 is divided by (28/3)/(s/(-36))?
13
What is the remainder when (-2)/(7/((-21)/2)) is divided by -12*((-24)/9)/8 - 2?
1
Suppose -n - 3*i = -36, n + 5*i + 27 = 73. Let g = 6 - -5. What is the remainder when n is divided by g?
10
Let g(q) = -q + 14. Let f be g(7). Let x be (14/f)/((-1)/15). What is the remainder when x*(22/(-6) - -3) is divided by 12?
8
Suppose l - 3*l = -p - 11, l - 4*p - 16 = 0. Suppose 0 = 5*z + 5, -5*q - l*z + 16 = -0*q. What is the remainder when (1/(-3))/(7/(-294)) is divided by q?
2
Let r = 892 - 789. What is the remainder when 719 is divided by r?
101
Let s(u) = 2*u**3 + 68*u**2 - 28*u + 117. What is the remainder when s(-34) is divided by 119?
117
Suppose 9*q = 20*q - 99. Calculate the remainder when 16 is divided by q.
7
Suppose 6*v + 645 - 759 = 0. What is the remainder when 51 is divided by v?
13
Let g(s) = -5 + 3*s + 0*s + 0*s**2 + s**2. Let j be g(-5). Suppose -5*v + 2*q + 136 = 3*q, -137 = -j*v - 2*q. Calculate the remainder when 78 is divided by v.
24
Let k(g) = 2*g**2 + 5*g - 3. Let f(h) = h**3 + 3*h**2 + 2*h + 4. Calculate the remainder when k(-4) is divided by f(0).
1
Suppose 0*o - 4*o = -28. Let g(y) = -8 + 7*y + 6*y**2 + 0*y**2 - o*y**2. Calculate the remainder when 7 