t is the remainder when k is divided by 8?
7
Suppose 2*q = q + 5*j + 15, j + 2 = 0. Calculate the remainder when 34 is divided by q.
4
Let g be (-3 + 2)/(1/(-2)). Let r(f) = -25*f - 156. Let t be r(-22). Suppose 5*c - w = t, c - g*w + 81 = 2*c. Calculate the remainder when c is divided by 20.
19
Let q be (0 + -2)/(4/214). Let j be 1/(-3) - q/(-3). What is the remainder when 46 is divided by (-120)/(-18)*j/(-15)?
14
Suppose 0 = -8*p - 0 + 24. Let h be 0*((-5)/(-2))/5. Suppose -2*v = -0*v + 6, p*k + 2*v - 165 = h. What is the remainder when k is divided by 15?
12
Let t(m) = -m**3 + 15*m**2 + 129*m - 6. Calculate the remainder when t(21) is divided by 45.
12
Let v = 485 + -483. What is the remainder when 2 is divided by v?
0
Let j(s) = s**3 + 9*s**2 + s - 3. What is the remainder when j(-7) is divided by 37?
14
Let n = 71 + -67. What is the remainder when 50 is divided by n + 6/(4/(-48)*-4)?
6
Suppose -228 = -11*z + 5*z. Let n = 176 - 312. What is the remainder when z is divided by n/(-14) + 4/14?
8
Suppose 0 = 3*c + 2*q - 108, 0 = -5*c + 4*c + q + 31. Let t be 1/(-3)*0 + -9. Let n = t - -18. What is the remainder when c is divided by n?
7
Calculate the remainder when 65*2*1/9*9 is divided by 22.
20
Suppose 6 = l - 6*l + 2*x, l - 3*x = -9. Suppose 3*m - 48 = -l*m. Suppose 2*v = 3*v - 31. Calculate the remainder when v is divided by m.
15
Suppose 3*q = -2 + 65. What is the remainder when 71 is divided by q?
8
Let i(s) = -s - 8. Let z be i(-7). What is the remainder when 2 is divided by (12/36)/(z/(-6))?
0
Let y(q) = -q**3 + 69 + 5*q - 69 + 3*q**2. Let w be y(4). Suppose -h + 100 = w*h. Calculate the remainder when 58 is divided by h.
18
Suppose -2*q = 10*q. Suppose 4*z - 24 = 5*g, q*z - 3*z = 5*g + 17. Calculate the remainder when 4 is divided by z.
0
Suppose 3*v - 8*v - 25 = 0. Let y = -3 - v. Suppose -s = 5, -4*m + y*m + 4*s + 48 = 0. What is the remainder when m is divided by 6?
2
Let s be (-3 - -5)*9 + -3. Let o(t) = 2*t - 13. Calculate the remainder when 135/2 - 1/2 is divided by o(s).
16
Suppose 16 + 32 = 4*o. Suppose -3*l = l - o. Let p = -21 + 28. What is the remainder when p is divided by l?
1
Suppose 0 = -7*k + 4*k - 2*g + 71, -3*g = 4*k - 96. Suppose 6*d - 275 = d. Calculate the remainder when 2/11 + 2245/d is divided by k.
20
Let k = 77 - 59. Calculate the remainder when 71 is divided by k.
17
Suppose -25*q + 34*q - 621 = 0. Calculate the remainder when q is divided by 28.
13
Let n(z) = 2*z**2 - 14*z - 7. Suppose 2*f - 14 = -2*k, -14 - 3 = -2*f + k. What is the remainder when 61 is divided by n(f)?
7
Let q = -99 - -102. Suppose 5*v = -h, q*h - 2*v - 36 = -5*v. Calculate the remainder when 28 is divided by h.
13
Let n = -37 - -107. Suppose 0*p = -5*p + n. Calculate the remainder when 67 is divided by p.
11
Let d = 7 - 4. Suppose 180 = 6*a - a. Suppose -33 - 63 = -d*w + 3*k, w + k = a. Calculate the remainder when w is divided by 9.
7
Suppose -5*y + 40 - 10 = 0. Suppose 110 = 2*b - 4*q, -b + y*q + 53 = 3*q. What is the remainder when b is divided by 15?
14
Let v be 544/6 + (-10)/(-30). Suppose 3*r - 3*z - 429 = 0, -3*r - 4*z - v + 534 = 0. Let k(i) = -4*i + 5. Calculate the remainder when r is divided by k(-8).
34
Let y be ((-32)/(-64))/((-2)/(-2264)*2). Suppose 0 = 5*g - 2*h - 381, 3*h = 4*g - y - 26. Calculate the remainder when g is divided by 19.
18
Let g = 61 - 36. Suppose 6*v - 187 + g = 0. What is the remainder when 107 is divided by v?
26
Let p(k) = -k**3 - 11*k**2 - 15*k - 13. Let y be ((-2)/4)/((-4)/40). Let v = -5 - y. Calculate the remainder when p(v) is divided by 13.
11
Suppose -2*k = -4*k + 4. Suppose -5*z + 8 = -g, 2*z + k*z - 47 = -5*g. Calculate the remainder when g is divided by 24/18 - (-4)/(-6)*-1.
1
Let u = 0 - 14. Let l = u - -40. Suppose j - l + 10 = 0. What is the remainder when 31 is divided by j?
15
Suppose 5*c = 3*h + 72, c + 12*h - 15*h - 24 = 0. Calculate the remainder when c is divided by 12.
0
Suppose -6*k + 159 = -213. Suppose 0 = -l + 1 + 3. Suppose -l*t - 3*z + 40 = -2*t, 5*t - 2*z = k. Calculate the remainder when 40 is divided by t.
12
Suppose 0 = -4*x + 3*g + 7, 0 = 5*x + g + g - 26. Suppose 32 = -x*y + 6*y. Let t(q) = q**2 - q - 10. What is the remainder when t(-7) is divided by y?
14
Suppose -2*c + 2*o + 56 = 0, c + 2*o - 19 = 6. Let f = 169 + -35. What is the remainder when f is divided by c?
26
Calculate the remainder when (-45)/30*526/(-3) is divided by 77.
32
Suppose 70 = 2*j + 5*v, 2*j = -4*v + 40 + 26. What is the remainder when (-10)/j + 62/5 is divided by 5?
2
Let a(t) = -t + 7. Let y be a(7). Suppose y = 3*j - 3*l - l - 30, -4*j + 12 = 4*l. Calculate the remainder when 41 is divided by j.
5
Suppose -807*p - 33 = -808*p. Calculate the remainder when 217 is divided by p.
19
Let m(y) = 2*y + 4. Suppose -6*r + 4*r = 60. Let l = r + 65. Calculate the remainder when l is divided by m(7).
17
What is the remainder when (-2 - -68)*75/45 is divided by 32?
14
Let n(u) = -3*u**3 + 15*u**2 + 13*u - 33. What is the remainder when 103 is divided by n(5)?
7
Let i(z) = 18*z - 2. Let d be i(3). Suppose 41*c - 45*c = 108. Let p = c + d. What is the remainder when p is divided by 14?
11
Suppose 0 = -0*w + 3*w - 333. Let m = w - 0. Calculate the remainder when m is divided by 28.
27
Let c = -871 - -915. Calculate the remainder when 791 is divided by c.
43
Let n be (-2)/(-1)*(1 + 0). Suppose n*f - 90 = -5*d, f - 124 = -2*f - 2*d. Let h = -36 - -50. Calculate the remainder when f is divided by h.
12
Suppose 27*w = 4054 + 6557. Calculate the remainder when w is divided by 66.
63
Suppose 0*v + 6*v = -102. Let t = 21 + v. Suppose -t*p - 3*m + 22 = -72, 3*p = 4*m + 83. What is the remainder when 97 is divided by p?
22
Let f = -1770 + 1789. What is the remainder when 246 is divided by f?
18
Suppose 23*h + 399 = 4746. Calculate the remainder when h is divided by 8.
5
Suppose 0 = -5*y - 2*f - 17, -3*y = 12*f - 7*f + 14. What is the remainder when 34 is divided by ((2 - 5) + 10)*(-3)/y?
6
What is the remainder when 28/35*10*(7 + -5) is divided by 6?
4
Suppose 0 = p + p. Suppose 10*l - 5*l = p, 2*l = -4*b + 60. Suppose 0 = -3*c + b - 0. Calculate the remainder when 17 is divided by c.
2
Let n = -92 + 188. Calculate the remainder when 190 is divided by n.
94
Suppose -7*f + 5*a = -8*f + 14, 3*f - 62 = 5*a. What is the remainder when 51 is divided by f?
13
Let k(s) = s**3 + 21*s**2 - 52*s - 91. Calculate the remainder when k(-22) is divided by 10.
9
Let p = 283 - 265. What is the remainder when 46 is divided by p?
10
Let s(d) = d**2 - 7*d + 8. Let h = 12 + -6. Suppose -p + 15 = 12. What is the remainder when p is divided by s(h)?
1
Suppose 1821 - 1165 = 8*d. What is the remainder when 158 is divided by d?
76
Let t(w) = -w + 7. Let a be t(-6). Let z be 648/a - 24/(-156). Suppose 2*n - n - z = 0. Calculate the remainder when n is divided by 13.
11
Let m be ((-15)/(-30))/(1/(-6)). Let l(t) = -5*t**3 - 2*t**2 - 2*t - 2. What is the remainder when l(m) is divided by 31?
28
Suppose 539 = 5*b - 2*p, 0 = b + 3*b + p - 439. Suppose -b = -2*w - 11. Calculate the remainder when w is divided by -1 + 13 + 0 + -2.
9
Let p(s) = -s**3 - 23*s**2 + 18*s + 3. Let u be p(-24). Let z = u + -110. What is the remainder when z is divided by 16?
5
Let n(h) = 4*h**2 - 26*h + 104. Let b(s) = s**2 - 9*s + 35. Let m(f) = -7*b(f) + 2*n(f). What is the remainder when m(-15) is divided by 12?
11
Let x(d) = 2 + 4*d**2 - 6 - 5*d - 1. What is the remainder when x(-3) is divided by 16?
14
Let q(t) = t + 49. Let g be q(0). Suppose -2*h - 30 = 40. Let l = g + h. Calculate the remainder when 55 is divided by l.
13
Let a = 1 + 6. Let m(g) = g + 24. Calculate the remainder when m(30) is divided by a.
5
Suppose -t - 72 = -9*t. Suppose 5*x - 60 - 64 = -3*f, -x + 18 = 4*f. Suppose -5*a + 157 = 4*q, -q - 4*a + x = -27. What is the remainder when q is divided by t?
6
Suppose 14*q = -24*q + 1786. Calculate the remainder when 175 is divided by q.
34
Suppose 2*y + 3*v - 2 = 0, 5*v - 3 + 2 = -3*y. Suppose 5*x + 52 + 73 = 0. Calculate the remainder when (-1 + 2)/((-1)/x) is divided by y.
4
Suppose 4*b - 9 = -3*l, 5*b = -l - 0*l + 3. Let w(s) = 3*s**3 - 2*s**3 + 15 + s - 2*s**3. Calculate the remainder when w(b) is divided by 8.
7
Let x = -501 + 740. What is the remaind