g = 2*b - 248. Let q = -176 + g. Suppose z - q = -z. Calculate the remainder when z is divided by 20.
17
Let o = -663 + 743. What is the remainder when 174 is divided by o?
14
Suppose -22*v = -l - 23*v + 48, -2*v + 10 = 0. Calculate the remainder when 53 is divided by l.
10
Suppose -3*x + 31 = -5*g - 82, 5*g + 4*x + 106 = 0. Let v = 45 + g. Calculate the remainder when v is divided by 13.
10
Let z = 85 + 22. What is the remainder when z is divided by (27/54)/(2 - (-107)/(-54))?
26
Let k = -111 + 59. Let w = k - -60. Calculate the remainder when 22 is divided by w.
6
Suppose 3*b - 5*z = -15, 3 + 3 = -5*b + 2*z. Suppose 4*w + n - 58 = b, -5*n = -4*w - 0*w + 70. What is the remainder when 38 is divided by w?
8
Let c = -1178 - -1728. What is the remainder when c is divided by 108?
10
Suppose 0 = 1223*t - 1225*t + 18. What is the remainder when t is divided by (-2 - (-6)/4)*-12?
3
Suppose -1534 + 7503 = 47*c. Calculate the remainder when c is divided by 9.
1
Let l = 24 - 18. What is the remainder when 56 is divided by ((-6)/7)/(l/(-84))?
8
What is the remainder when -128*(5 + 264/(-32)) is divided by 42?
38
Let p(w) be the first derivative of -5*w**4/4 - w**3/3 + w**2/2 - 13. What is the remainder when 101 is divided by p(-2)?
33
Let y(j) = 4*j**2 + 5*j + 4. Let w = 4 - 4. Suppose -2*k - k - 3*c + 306 = w, 5*c = 20. Calculate the remainder when k is divided by y(-3).
23
Suppose -10*p = 3*p - 572. What is the remainder when 94 is divided by p?
6
Suppose -2*x + 15 = -17. What is the remainder when 50 is divided by x?
2
Let k(q) = 0*q + 11*q - 2*q - 4*q + 3. Calculate the remainder when k(9) is divided by 10.
8
What is the remainder when (1284/24)/((-1)/(-2)) is divided by 37?
33
Suppose 2*h = 5*x + 83, -4*h + 4*x + 235 = 39. Let v = 1121 + -1110. Calculate the remainder when h is divided by v.
10
What is the remainder when ((-1017)/12)/(-3) + 130/(-104) is divided by 14?
13
Let u(i) = -20*i + 478. What is the remainder when u(14) is divided by 25?
23
Let o = 285 - 191. What is the remainder when o is divided by (-465)/(-20) - (3 + 30/(-8))?
22
Let k(t) = 7*t**3 + t**2 - 4*t + 4. Let l be k(2). Let b = l + -9. What is the remainder when b is divided by 16?
15
Let u = 17 + -13. Suppose u*i - 60 = 80. What is the remainder when i is divided by 9?
8
Suppose 0 = 18*q - 15*q - 39. Calculate the remainder when q is divided by 9.
4
Suppose 3*a = -5*q + 248, 68 = -3*q - a + 216. What is the remainder when q is divided by 38?
11
Let b(x) = -x**3 + 26*x**2 - 27*x + 56. What is the remainder when 118 is divided by b(25)?
4
Let m = -231 - -374. What is the remainder when m is divided by 36?
35
Let m = 3071 - 1292. What is the remainder when m is divided by 137?
135
Suppose 4*w - 259 + 87 = 0. What is the remainder when 54 is divided by w?
11
Let d = -1 + 9. Suppose d*y - 324 = 2*y. Calculate the remainder when y is divided by 1/(-4) + (-342)/(-24).
12
Suppose -9*p + 991 = 262. What is the remainder when p is divided by 19?
5
Suppose -57 = -k - 7. Suppose -2*p = 24 - k. What is the remainder when 51 is divided by p?
12
Let l = -14 + 37. What is the remainder when -1 + 93 + (-7 - -4) is divided by l?
20
Let n(z) be the second derivative of z**4/12 - 7*z**3/6 + 9*z**2/2 - 35*z. Calculate the remainder when n(12) is divided by 10.
9
Let j be (-20)/(-6) + (5 - (-80)/(-15)). Calculate the remainder when (4/j - 2)*945/(-14) is divided by 12.
9
Suppose 5*q - 59 = -9. Let t(a) = -a**3 + 11*a**2 - 7*a + 19. What is the remainder when t(q) is divided by 10?
9
Suppose -3*z - 20 = 2*z. Let p = -4 + 2. What is the remainder when (-46)/z + 1/p is divided by 4?
3
Suppose -28*z + 4526 = 45*z. What is the remainder when 330 is divided by z?
20
Let v(j) = 5*j - 8. Calculate the remainder when 35 is divided by v(7).
8
Suppose -3923 = -19*f + 5102. Calculate the remainder when f is divided by 34.
33
Let c = -39 - -41. What is the remainder when 20 is divided by (-39)/c*4/(-6)?
7
Let c = 223 + -156. Suppose -7*y - 116 = -361. Calculate the remainder when c is divided by y.
32
Suppose 0 = 5*i - 8*i. Calculate the remainder when 4 + i - (1 + -20) is divided by 9.
5
Calculate the remainder when 1/(-2)*-9*12 is divided by (6/(-9))/((-36)/1026).
16
Let i(x) = x**2 + 15*x + 12. Let s be i(-6). Let p = 78 + s. Calculate the remainder when p is divided by 10.
6
Let f = -13 - -16. Suppose 9 = -f*o - 6. Calculate the remainder when 11 is divided by o/10 + (-22)/(-4).
1
What is the remainder when (-2 + 5/(-2))*-2 is divided by (31 - 32)/(2/(-4)*1)?
1
Let r(n) = n**2 + 43*n + 480. Suppose 0 = 5*x - 40. What is the remainder when r(-25) is divided by x?
6
Suppose 5*x = 10*x + 65600. Calculate the remainder when x/(-140) - 4/(-14) is divided by 48.
46
Let f(d) = d + 15. Let p be f(-11). Suppose -z = p*z. Suppose -9*y + 4*y + 230 = z. Calculate the remainder when y is divided by 12.
10
Suppose 3*w - 2*w = -12. Let o(q) = -3*q - 11. Calculate the remainder when o(w) is divided by 9.
7
Suppose 13*n - 2214 + 524 = 0. Calculate the remainder when n is divided by 46.
38
Let y(z) = 0*z**3 - 2*z**2 + 0*z**3 - z**3 + z + 13 + z**2. Calculate the remainder when 62 is divided by y(0).
10
Suppose 3*g + o = -109, 0*g + 91 = -2*g + 3*o. Let w = g - -40. Calculate the remainder when 3 is divided by w.
1
Suppose -4*o = 3*i - 200, o - 5*i = -10*i + 50. Calculate the remainder when 347 is divided by o.
47
Suppose 175 = 23*q + 12*q. What is the remainder when 15 is divided by q?
0
Let q(o) = 5*o**2 + 29*o - 3. Calculate the remainder when 95 is divided by q(-7).
17
Let k(u) = 38*u**2 + u - 1. Let n be k(1). Suppose s = h - n, -3*s + 3*h - 104 = 2*h. Let p = -23 - s. Calculate the remainder when 17 is divided by p.
7
Let f(u) = -7*u + 1. Let r(g) = 7*g + 7. What is the remainder when r(3) is divided by f(-2)?
13
Calculate the remainder when -1 + 9*(4 + 17)/1 is divided by 82.
24
Suppose 3*v + 5*o = -0*o - 6, -12 = -5*v - o. Let d = 7660 + -7549. Calculate the remainder when d is divided by (-4 + v)*(-27 + -1).
27
Let p(d) = 3*d**2 + 7*d - 2*d**2 + 8 + 2. Let k be p(-7). Let q = 51 - k. Calculate the remainder when q is divided by 22.
19
Suppose -3*j - i + 12 = -6, -5*i = -j + 22. Suppose 2*g - g = -j. Let n = g - -28. Calculate the remainder when 60 is divided by n.
18
Suppose 0*b = -b + 3. Suppose -9 = -3*s + b. Suppose -4*l = u - 4, -u + 3*u = -s*l. What is the remainder when 5 is divided by l?
1
Let i(s) = -s**3 - 18*s**2 - 31*s + 20. What is the remainder when 7 is divided by i(-16)?
3
Suppose -200 + 35 = -5*m. Suppose -2*z = -2*h + 68, -5*h + z = -0*z - 186. Let a = h - m. Calculate the remainder when 19 is divided by a.
4
Let a(y) = -y - 7. Let g(c) = 2*c + 15. Let m(f) = 13*a(f) + 6*g(f). Let o be m(-11). Suppose -4*q + o = -3*q. Calculate the remainder when 37 is divided by q.
7
Suppose k - 4*l = 8, 0 = k + 3*k + l - 15. Suppose -2*n - 4*y = -20, -y - 70 = -k*n - 12. Let x = -33 - -58. What is the remainder when x is divided by n?
11
Suppose -11 + 6 = -o. Suppose 0 = 5*n + o*c - 115, -5*n + 0*c = -c - 139. Suppose -4*f + 2 = -2, -4*h + n = -f. Calculate the remainder when 20 is divided by h.
6
Suppose 3*c - 10 = 5. Suppose -c*t = -6*t + 10. Calculate the remainder when 37 is divided by t.
7
Let s(o) = -14*o - 1. Let w = 35 - 36. Calculate the remainder when 36 is divided by s(w).
10
Let p(t) = -11*t. Let v(k) = 2*k**2 + 15*k + 7. Let w be v(-7). Let h(y) = y**2 + y - 6. Let b be h(w). What is the remainder when p(b) is divided by 17?
15
Suppose -474*d = -468*d - 132. Calculate the remainder when 27 is divided by d.
5
Let v = 56 - 90. Calculate the remainder when 1/((-11)/(-22) + v/76) is divided by 10.
9
Let h(k) = -k**3 - 15*k**2 + 14*k. Let m be h(-16). Suppose 11*r - 15*r = -m. Calculate the remainder when 37 is divided by r.
5
What is the remainder when (((-11808)/40)/9)/((-5)/25) is divided by 91?
73
Let m = -1795 + 1800. Calculate the remainder when 707 is divided by m.
2
Suppose 3*r - 49 = 236. Calculate the remainder when 39 is divided by -1*(-1 - r/5).
19
Let p = 56 + -36. Calculate the remainder when 36 is divided by p.
16
Let h be 2 - 1 - (5 + -2) - -20. Suppose 0*j + h = 3*j. What is the remainder when j is divided by 4?
2
Let y(u) = -142*u + 1179. What is the remainder when 212 is divided by 