8. Let q = f + 386. Let w(z) = 35*z + 1. What is the remainder when w(2) is divided by q?
11
Let f be -1 + (15 - 2/1). Suppose 3*q + f = 6*q. Suppose 4*m = -3*l + 16, 4*l + 3*m - 26 = -7. What is the remainder when l is divided by q?
0
Let g = 17478 + -17446. What is the remainder when 2107 is divided by g?
27
Suppose -15*v + 4*w + 24450 = 0, 3260 = 17*v - 15*v - 3*w. Calculate the remainder when v is divided by 6.
4
Let r be (-3 + -2)*27/(-15). Suppose 3*u = 15 + r. Calculate the remainder when 1/(((-92)/23)/(12*-3)) is divided by u.
1
Suppose -1113 = -5*j + 3707. Let w = j + -867. Calculate the remainder when w is divided by 37.
23
Suppose -175 - 1175 = -18*m. Let s = -71 + m. Calculate the remainder when 16 is divided by s.
0
Suppose -7*y + 11*y = 192. Suppose x - 24 = i - 0*i, -2*x - 120 = 4*i. Calculate the remainder when y is divided by (-144)/(-14) - i/(-98).
8
Suppose -3*z = -g - 305, 5*z = -2*g + 5*g + 919. Calculate the remainder when (-44)/g + 2/((-28)/(-1846)) is divided by 46.
40
Let i(j) = 329*j + 660. Calculate the remainder when i(2) is divided by 40.
38
Let u(f) be the third derivative of -f**4/2 + 5*f**3/2 - 8*f**2. Calculate the remainder when u(-5) is divided by 20.
15
Let r(y) = -5*y**3 + 3*y**2 - 1. Let x be r(-2). Suppose -129 = -4*d + x. What is the remainder when d is divided by ((-9)/(-12))/((-9)/(-276))?
22
Suppose -6*c = -5*c - 1. What is the remainder when 163 is divided by (-6)/6*c*82/(-2)?
40
Let o(a) = 8*a - 220. Let y(b) = 5*b - 111. Let m(c) = -2*o(c) + 5*y(c). What is the remainder when m(17) is divided by 6?
2
Let t(k) = k**2 + 4*k - 26. Let w(x) = -2*x**2 + 23*x - 5. Let v be w(11). Calculate the remainder when 96 is divided by t(v).
28
Let v(r) = 79*r**3 - 8*r**2 + 29*r - 28. What is the remainder when v(2) is divided by 11?
3
Suppose -40*y + 8788 = -9652. What is the remainder when y is divided by 43?
31
Suppose -4*x + 732 = 2*x. Let n = -96 + x. What is the remainder when n is divided by 14?
12
Let y be (((-140)/(-5))/(-4))/((-1)/2). Suppose 0 = 5*d - y - 21. Suppose -3*t = -19 + d. Calculate the remainder when 11 is divided by t.
3
Let b(f) = -f**3 + 8*f**2 - 4*f - 12. Let n be b(7). Suppose -n*q = 4 + 23. Calculate the remainder when 6 is divided by q/1 - (6 + -11).
0
Let n(i) = 97*i**2 - 437*i - 2. Calculate the remainder when n(5) is divided by 16.
14
Suppose -38*u = -35*u - 3*b - 1185, 3*b = -2*u + 820. Calculate the remainder when u is divided by 7.
2
Let h(f) = -f**3 + 4*f**2 - 4*f + 3. Let g be h(2). Calculate the remainder when 284 is divided by -21*(-54)/24 - g/(-4).
44
Suppose -4*j = 2*o - 626, -5*j + 781 = 162*o - 158*o. What is the remainder when j is divided by 4?
1
Let s(k) = 19*k**2 - k - 8. Suppose 3 = -5*u + 6*u. What is the remainder when s(u) is divided by 23?
22
Let h = 21298 + -20911. Calculate the remainder when h is divided by 37.
17
Let z(b) = b**2 - 16*b + 31. Let h = 198 + -183. Suppose g = -2*t + 6, -6 = -g - t + 2. Calculate the remainder when z(h) is divided by g.
6
Suppose v = 2*y - 4030, 27*v - 28*v = -3*y + 6048. What is the remainder when y is divided by 5?
3
Let i = -2018 + 2079. Calculate the remainder when 425 is divided by i.
59
Suppose 4*q + 284 = 4*c, -5*q + 6*q = 5*c - 371. Calculate the remainder when c is divided by 23/(-5)*(1 - 6).
6
Suppose -152*y = -246*y - 190*y + 451844. Calculate the remainder when y is divided by 55.
51
Suppose 13 = f - 10. Let j = f + -38. What is the remainder when 79 is divided by (4/(80/(-36)))/(1/j)?
25
Calculate the remainder when (-2)/(-12) - (-14776)/48 is divided by 227620/4370 + (-2)/23.
48
Let d(m) = -m**3 + 9*m**2 - 11*m + 1. Let p be d(8). Let g = 94 - p. Suppose -w = -127 + g. Calculate the remainder when 29 is divided by w.
9
Let t(l) = -l**3 + 8*l**2 + 5*l - 79. Calculate the remainder when 8703 is divided by t(7).
3
Suppose 5*f - 6*f = -17. Let z(x) = 23*x + 49. Let u be z(-2). Calculate the remainder when 780/17 - ((-318)/102 + u) is divided by f.
12
Let v = -270 + 275. Suppose 3*f + 802 = 4*z, v*z - 320 = 2*f + 686. Calculate the remainder when z is divided by 52.
46
Suppose -5*q + 780 = 2*d + 221, 4*d - 5*q = 1013. Calculate the remainder when d is divided by 74.
40
Let m be 196 + -2*(-1 + 0). Suppose m - 18 = 5*p. Let v(w) = 54*w - 524. What is the remainder when v(11) is divided by p?
34
Let l be (-27 + 3)/(-3) + 158. Let o = 5 + l. What is the remainder when o is divided by 25?
21
Calculate the remainder when 272 is divided by (10/9*3)/((-200)/(-5700)).
82
Let m be (-1 - 2326) + (-8 - 32)/8. Calculate the remainder when m/(-14) - (-30)/70 is divided by 56.
55
Let r be 516/(-9) + (-16)/(-12). Let b = r - -84. Calculate the remainder when 108 is divided by b.
24
Let z be -153*3/(-6) + 2/(-4). Suppose -75*y + z*y - 47 = 0. Suppose 0 = -2*v + 2, 4*i - 4*v = -2*v + 46. What is the remainder when y is divided by i?
11
Let d(a) = -a + 28. Let x be d(-13). Suppose -2*b + o + x = 9, -2*b = 4*o - 42. Calculate the remainder when 60 is divided by 930/102 - 2/b.
6
What is the remainder when (196493/(-77)*-7)/15 + (-6)/(-45) is divided by 66?
3
Let c = 6591 + -6383. Calculate the remainder when c is divided by 12.
4
Let d(z) = z**2 - 4*z - 14. Let w(a) = -a + 3*a**2 + a**2 + 0*a - 3*a**2 + 4. Calculate the remainder when d(10) is divided by w(5).
22
Let z = -26 - 1. Let k(q) = -q**3 - 27*q**2 + 4*q + 118. Calculate the remainder when 99 is divided by k(z).
9
Suppose -3*p + 7*h + 824 = 2*h, 0 = -p - h + 264. Calculate the remainder when 286 is divided by p.
18
Let t = -1625 - -2533. Suppose -78 = 80*r - 83*r. Calculate the remainder when t is divided by r.
24
Let p = -9326 - -11167. Calculate the remainder when p is divided by 142.
137
Let u(k) = 0 - 2*k + 0*k - 1. Let l be (-1 + 7)*(-16)/32. Calculate the remainder when 8 is divided by u(l).
3
Let o = 29805 + -29800. Calculate the remainder when 10403 is divided by o.
3
Let q = -65 + 250. Let s = q + -263. Calculate the remainder when s/(-2) - (-4)/8*-6 is divided by 19.
17
Let f(h) = -4*h - 18*h**3 - h**2 + 6 - 4*h - 8*h + 22*h - 7*h**3. What is the remainder when 69 is divided by f(-1)?
21
Suppose -4*f + 3*k + 89 = 0, -143*k - 111 = -2*f - 138*k. Calculate the remainder when f is divided by -3*(-1 - (-1)/3).
0
Let r = 17 + -7. Suppose -r = 2*s, -s - 2*s = -3*u + 294. Calculate the remainder when u is divided by 5880/378 - ((-60)/27)/5.
13
Suppose y - 3*a - 364 = 0, 0 = 2*y - 102*a + 100*a - 720. What is the remainder when y is divided by 33?
28
Suppose -3*b = -3*y + 126, b + 183 = 4*y - 0*b. Suppose -4*d - 5*n = -400, 0 = -d + 266*n - 267*n + 99. What is the remainder when d is divided by y?
1
Suppose -z - 2*z - 2*d = -185, 3*z - 180 = 3*d. Suppose 33 = 2*p - z. Suppose 37 + p = 6*b. What is the remainder when b is divided by 8?
6
Let q = -3650 - -5012. Calculate the remainder when q is divided by 71.
13
What is the remainder when 9337 is divided by (-90)/117*(-18 - 8)?
17
Suppose 4 = 4*n - 4. Let c(m) = 15 + 2*m**3 + 12 - m**3 + 0*m**n - m**2. What is the remainder when 80 is divided by c(0)?
26
Suppose -393 = -3*s - 5*g, -3*s = -4*g - 392 - 82. What is the remainder when s is divided by 1/((-2)/(-10)) - -2?
6
What is the remainder when 308 is divided by (-1)/((4 + -11)/140)?
8
Suppose -7*o - 15518 - 6154 = 0. Calculate the remainder when 214 is divided by o/(-43) + (-1)/(-2)*2.
68
Suppose 0 = -4*j - 2*i + 288, -7 = -3*i + 5. Let q = j - -750. Suppose -3*l = -13*l + q. Calculate the remainder when l is divided by 28.
26
Suppose -15*o + 494 = -4*o - 9*o. Calculate the remainder when o is divided by 45.
22
Let c be (4/12)/((-4)/48). Let z be (84/(-22) - c) + 126/33. Suppose -4*r + 340 = -z*a, -a + 83 = -2*r + 3*r. What is the remainder when r is divided by 17?
16
Let v(w) = -w**3 + 82*w**2 + 63*w + 2278. What is the remainder when v(83) is divided by 254?
110
What is the remainder when 105150/(-125)*30/(-9) is divided by 104?
100
Let i(d) = 7*d**2 + 6*d + 4. Let y be i(-2). Suppose l + 24 = y. Let k(c) = -6*c - 10. What is the remainder when 27 is divided by k(l)?
13
Suppose -1 = -q, 3*y + 4*q = 161 - 16. What is the remainder when 2123 is divided by y?
8
Let m(a) = -377*a - 6921. What is the remainder when m(-22) is divided by 27?
23
Suppose 60 = -4*p + 9*p. Let m be (-84