hen r(-5) is divided by 63.
58
Let n(t) = -5*t + 7. Let m = -80 - -264. Calculate the remainder when m is divided by n(-8).
43
Suppose -58 = -6*b + 314. Calculate the remainder when 4/14 - (-110)/7 is divided by b/8 - 105/140.
2
Let l(s) = 2*s**2 + s + 1. Let b(f) = -31*f**2 + 15*f + 26. Let m(r) = -b(r) + 2*l(r). What is the remainder when m(-2) is divided by 24?
22
Let w(g) = -6*g**2 - 69*g + 109. Calculate the remainder when 3548 is divided by w(-11).
140
Suppose -3*o + 3*y - 6 = -0*y, 5*y - 18 = o. Suppose -c = -5*g - o*c + 900, -4*g + 3*c = -701. What is the remainder when g is divided by 20?
19
Let s = 3001 - 2225. Calculate the remainder when s is divided by 19.
16
Suppose -88 = -121*z + 119*z. Suppose -w = -2*y - 18, -3*w + 14 = -0*w + 2*y. What is the remainder when z is divided by w?
4
Let d(t) = 66*t**2 - 247*t + 250. Calculate the remainder when 219 is divided by d(1).
12
Let q(s) = 16*s + 542. Suppose -7*p = -169 - 1553. What is the remainder when p is divided by q(-30)?
60
Let q(u) = 3*u**3 - 3*u**2 + 6*u - 2. Suppose -1152 + 3588 = 28*k. What is the remainder when q(4) is divided by k?
79
Let q(r) = -r**2 + 11*r + 32. Let b(n) = n - 5. What is the remainder when q(10) is divided by b(9)?
2
Let s(w) = w + 424. Calculate the remainder when s(11) is divided by 97.
47
Suppose -38*q - 2714 = -55*q - 3*w, 5*q - w = 802. Calculate the remainder when 11678 is divided by q.
158
Let b(j) = 8*j**2 - 27*j + 210. Calculate the remainder when b(10) is divided by 143.
25
What is the remainder when 911 is divided by 4/84*3 + (-8)/(56/(-405))?
41
Let f be (-2 - 28/3)/((-2)/3). Suppose -5*z + 3*z + f = -5*b, -z + 5*b = -1. Let r = 152 - 107. Calculate the remainder when r is divided by z.
13
Suppose 32 + 80 = -17824*j + 17852*j. Calculate the remainder when 1084 is divided by j.
0
Let z be (2 + 1 + -3)/(4 - 1). Suppose z = -3*j + 11*j - 32. Suppose -3*a + 22 = j*l, -2 = 2*l + 2. What is the remainder when 38 is divided by a?
8
Let v(u) = u + 2. Let i be v(0). Suppose -2*x - i*g + 64 = 0, -x - 3*g = x - 59. Let h(l) = -218*l - 944. Calculate the remainder when h(-5) is divided by x.
35
Let a = -41 - -62. Let m = 21 - a. Suppose -47*x + 45*x + 26 = m. Calculate the remainder when 25 is divided by x.
12
Let c(n) = -n**3 + 19*n**2 - 26*n + 515. Calculate the remainder when 225 is divided by c(19).
15
Suppose t - 5*s = -0*t + 35, -s + 121 = 3*t. Let n be (2 + -4)*(-23 + -2). Let l = n - t. Calculate the remainder when l is divided by 6.
4
Let a = 1062 - 207. What is the remainder when ((-2)/(-3))/(5/a) is divided by 33?
15
Let f(o) = -91*o**3 + 2*o**2 - 3*o. Let z be f(1). Calculate the remainder when 16 is divided by (-2)/10 - z/40*4.
7
Suppose 56*g = 825 + 1583. Suppose 0 = -2*s - 2*s + 3*x + 48, x = s - 12. What is the remainder when g is divided by s?
7
Let r(f) = f**3 + 8*f**2 - f - 2. Suppose -4*x - 646 = -2150. What is the remainder when x is divided by r(-7)?
52
Let c(y) = 16*y - 27. Suppose -5*v + 10*v - 65 = 5*l, -2*v + 14 = l. What is the remainder when c(5) is divided by v?
8
Suppose 0 = 37*o - 31*o - 108. Suppose -24*l + o*l = -18. Calculate the remainder when ((-3)/5)/((-1)/5) is divided by l.
0
Suppose 0 = -3*k + 5*a - 6, -k + a + 6 = 2*k. Suppose 0 = 2*i - 5*g - 18, -5*i + k*g + g + 79 = 0. What is the remainder when 22 is divided by i?
3
Suppose -4 = -c, 6*u - 2670 + 468 = 3*c. What is the remainder when u is divided by 34?
29
Let j(k) = -61*k + 1850. What is the remainder when j(25) is divided by 303?
22
Let o(s) = s - 7. Suppose -g + 2*g + 7 = -4*p, -2*p = -g + 11. Let x(w) = 2*w**2 + w - 5. Calculate the remainder when x(p) is divided by o(10).
1
Let z(r) = r + 4. Suppose -14 = 5*o - 7*o. Calculate the remainder when 210/4 + o/(-14) is divided by z(7).
8
Let t = -5222 - -8686. Calculate the remainder when t is divided by 77.
76
Let x(j) = -3*j**2 - 19*j + 64. Let h be x(10). Let y = 450 + h. What is the remainder when y is divided by 13?
11
Let k(s) = 74*s**3 - 2*s**2 + s. Let b = -73 - -75. Suppose -1 = 3*t + 3*c - 5*c, -5*t - b*c = -9. Calculate the remainder when k(t) is divided by 37.
36
Let k = -6937 - -7162. What is the remainder when k is divided by 18?
9
Calculate the remainder when 1181 is divided by (-800)/(-30) - ((-63)/27 - (-5 - -3)).
20
Let d(i) = 8*i - 56. Let x be d(22). What is the remainder when 972/14 + (x/(-35))/(-6) is divided by 38?
32
Suppose -5*v + 16 = -4. Suppose v*h - 5*f = 135 + 113, -5*h = -3*f - 323. Suppose h = 3*n - 173. What is the remainder when n is divided by 9?
8
Let i(r) = -r**3 - 6*r**2 - 6*r + 6. Let q be i(-5). Suppose -b - 34 = -q. Let k = 82 + b. Calculate the remainder when k is divided by 22.
15
Calculate the remainder when 5558 is divided by -15*(-11957)/1650 - 6/(-20).
108
Let f(a) be the second derivative of 3*a**4/4 + a**3/6 + a**2/2 - 8*a - 5. Calculate the remainder when f(1) is divided by 5.
1
Suppose 51*l - 404 = -5*t + 53*l, 3*t - 199 = -5*l. What is the remainder when 175 is divided by t?
19
Let p(r) = -r**3 - 42*r**2 - 322*r + 16. Calculate the remainder when 18719 is divided by p(-32).
79
Let t be 1 - -196 - (0 - 4 - -3). Let k = -166 + t. Calculate the remainder when 319 is divided by k.
31
Let s(u) be the first derivative of u**3 - 4*u**2 + 48*u - 82. Calculate the remainder when s(6) is divided by 14.
10
Let c(o) be the first derivative of 2*o**3 + 19*o**2/2 + 40*o + 43. Calculate the remainder when 479 is divided by c(-3).
35
Suppose -2*o + 4 = 2*g, 0 = -3*g - g - 12. Suppose -709 = -o*i + 26. Suppose 19*v - i = 16*v. What is the remainder when v is divided by 25?
24
Suppose 6 = 2*p, 4*k - 38 = -3*p + 47. Let l(u) = u**3 - 19*u**2 + 20*u + 8. Calculate the remainder when l(k) is divided by 39.
37
What is the remainder when 80 is divided by (((-1)/3)/(132/7227))/((-5)/20)?
7
What is the remainder when 2424 is divided by (70/70)/(3 + 260/(-87))?
75
Suppose -151 = s + 117. Let z = 284 + s. Calculate the remainder when z is divided by 10.
6
Suppose 31*m = 33*m - 876. Suppose -6*y + 7*y + 233 = u, 0 = 2*u + 5*y - m. What is the remainder when u is divided by 29?
26
Suppose 4*y + 5*f = 1793 - 345, 1059 = 3*y - 3*f. What is the remainder when y is divided by 60?
57
Suppose -34*k - 137 - 101 = 0. Calculate the remainder when 251 is divided by k + (24/6 - -24).
20
Suppose -t - 2*u + 43 = 3, 0 = -2*t - 2*u + 84. Suppose -2*k + 277 = 3*h, -4*k = -h - 467 + 522. Calculate the remainder when h is divided by t.
43
Suppose 11*w + 37*w - 204 = 276. Calculate the remainder when 25757 is divided by w.
7
Suppose -2*u + 5002 = -4*k, -37*u - 4*k = -38*u + 2503. Calculate the remainder when u is divided by 57.
48
Let d = -897 - -925. What is the remainder when d is divided by 18?
10
Let i(w) = 5*w**2 - 3*w - 7. Let h be (-69)/46 - (-1)/(-2). Suppose 9*m - 127 = 224. Calculate the remainder when m is divided by i(h).
1
Let r be (3/9)/((-7)/42). Calculate the remainder when (-56 + 3)*r - (-4 + 4) is divided by 28.
22
Suppose -3*v = 4*c - 2*v - 1008, -3*c - v + 756 = 0. Calculate the remainder when 2/1*5*c/30 is divided by 29.
26
Suppose 0 = 21*t - 6299 - 5608. Calculate the remainder when t is divided by 139.
11
Let y be 2418/13 - (2 + 0). Suppose -3*w = 2*l - 572, -w + y = -4*l + 3*l. Calculate the remainder when w is divided by 16.
12
Let f = -117081 - -117129. Calculate the remainder when -1 + (-1 - 1) + 179 is divided by f.
32
Let h(z) = z**2 + 6*z - 29. Suppose 7*r = 9*r + 3*q - 163, 5*q + 49 = r. What is the remainder when r is divided by h(5)?
22
Let g(s) = 29*s + 1578. What is the remainder when 7556 is divided by g(-54)?
8
Let h = 21 + 332. Let m = h - 250. Calculate the remainder when m is divided by 19.
8
Let m = 2782 + -1862. What is the remainder when 699 is divided by 63/2*m/414?
69
Suppose -2285 = -92*v - 537. What is the remainder when 455 is divided by v?
18
Let c(b) = -6*b**3 + 2*b**2 + 5*b + 5. Let u be 34/(-10) - (-12)/30. What is the remainder when c(u) is divided by 29?
25
Let s = -8534 + 11400. Calculate the remainder when s is divided by 150.
16
Let h = -1464 + 1671. What is the remainder when h is divided by 53?
48
Calculate the remainder when 168096/918 + 1/(-9) is divided by 173.
10
Calculate the remainder when 1908 is divided by (-35)/(-210)*12*(117/(-2))/(-3).
3