remainder when 228 is divided by n?
21
Let y(f) = -3*f**3 + f**2 + 4. Let x be y(3). Suppose -191 + 147 = -p + 2*a, -5*p - 3*a + 155 = 0. Calculate the remainder when (-4 - -1)*1 - x is divided by p.
31
Let s(n) be the first derivative of 2*n**2 + 2*n + 40. What is the remainder when 135 is divided by s(11)?
43
Let c(b) = 34*b**2 - 28*b + 8 - 11 + 6 - 2*b**3 - 19. Calculate the remainder when 281 is divided by c(16).
41
Let b be 6*3/(-18)*4. Let y = 24 - b. What is the remainder when (16/(-10))/((4/(-80))/((-91)/(-56))) is divided by y?
24
Let g(h) = 87*h + 135. Calculate the remainder when 158 is divided by g(-1).
14
Suppose -18*c - 74 + 722 = 0. Suppose c + 100 = 4*f. What is the remainder when f is divided by 7?
6
Let k = -3845 + 3850. What is the remainder when 243 is divided by k?
3
Suppose 4*x = 3*c + 105 + 276, -c - 95 = -x. Suppose 120*n + 53*n = 49132. What is the remainder when n is divided by x?
92
Suppose 0 = -22*u + 106 + 6640 + 24076. What is the remainder when u is divided by 127?
4
What is the remainder when 202950/528 + 10/16 is divided by 10?
5
Calculate the remainder when 349 is divided by 525/63*39/5.
24
Let l(b) be the third derivative of 29*b**5/60 - b**4/24 - b**3/6 - 14*b**2. Suppose -456 - 787 = -11*d. Calculate the remainder when d is divided by l(-1).
26
Suppose 0 = 240*q - 242*q + 24. Calculate the remainder when 242/q - 29/174 is divided by 5.
0
Let y(f) = -f. Let g be y(-9). Let l be 1/((0 - 6/g) + 1). Suppose 0 = 2*r + r + l*h - 123, 47 = r + 3*h. What is the remainder when r is divided by 14?
10
Let n(d) = 17*d**3 - 13*d**2 - 4*d + 9. Let j(u) = 9*u**3 - 6*u**2 - 2*u + 5. Let a(x) = 7*j(x) - 3*n(x). What is the remainder when a(3) is divided by 101?
97
What is the remainder when (-65)/20 - -3 - (-6204)/48 is divided by 33?
30
Let a(y) = 5*y**2 - 3*y + 1. Let j be a(3). What is the remainder when 198 is divided by j - (2/3 + 11/(-3))?
38
Suppose 2*y + 2*s + 16 = 6*s, 2*s - 14 = 4*y. Let u = -3 - -20. Calculate the remainder when (y*74/4)/(4/(-20)) is divided by u.
15
Suppose 160*q - 157*q + 350 = 5*b, -3*b + 5*q = -210. What is the remainder when b is divided by 21?
7
Suppose 0 = 302*b - 326*b + 576. Calculate the remainder when -1*(-213 - 1)/1 is divided by b.
22
Suppose 13*g - 8*g = 6*g. Calculate the remainder when (g + (-24)/(-20))/((-1)/(-15)) is divided by 11.
7
Suppose 0 = -5*a + 4*t + 74, a - 2*t + 40 = 4*a. Suppose a*p + 3*p - 748 = 0. Calculate the remainder when 481 is divided by p.
41
Let n = 724 + -431. Suppose 2*p + 3*x - 285 = -p, 3*p + x - n = 0. Suppose 39 = -10*v + p. What is the remainder when 28 is divided by v?
4
Let a = 12809 + -12540. Calculate the remainder when a is divided by 38.
3
Let i = -952 + 962. What is the remainder when 34 is divided by 4 + 9 + i/(-2)?
2
Suppose 0 = 3*v + 12, a - 346 - 32 = -3*v. What is the remainder when a is divided by 18?
12
Suppose 547 = -6*a + 15*a - 857. What is the remainder when a is divided by 53?
50
Suppose 17335 - 16971 = 26*z. Let x = 5 + -11. Let h(w) = 3*w**2 + 2*w - 1. Calculate the remainder when h(x) is divided by z.
11
Let m = -3980 - -4002. What is the remainder when 239 is divided by m?
19
Let u(m) = -m**3 - 1. Suppose 7 - 8 = v. Let c be u(v). Suppose -y = -3*n + 323, 5*n + c*n - y - 539 = 0. Calculate the remainder when n is divided by 37.
34
Suppose -4*h + 5 = -39. Suppose 8*a - 2105 = -2089. Suppose a*b = -h*b + 637. Calculate the remainder when b is divided by 17.
15
Suppose 5*x = -p - 10, -p - 2 + 13 = -2*x. Suppose -1 = h + 4*w - 28, -h = -p*w - 72. Calculate the remainder when h is divided by 17.
13
Calculate the remainder when (-1)/((-20)/130 + (-147)/(-975)) is divided by 117.
91
Let h(z) = 181*z - 49. Let y be h(11). Suppose -y - 1226 = -22*n. What is the remainder when n is divided by 74?
70
Let j = -3 - -17. Let u(k) = 5*k**2 - 19*k - 8. Let b(m) = -4*m**2 + 18*m + 7. Let i(g) = 4*b(g) + 3*u(g). What is the remainder when 48 is divided by i(j)?
12
Let t = -134 - -138. Let v(r) = 3*r**2 + 6*r - 43. What is the remainder when 74 is divided by v(t)?
16
Suppose -208 = -5*r + 9*r. Let b = r + 77. Suppose u + 18 = 90. Calculate the remainder when u is divided by b.
22
Let o(z) be the first derivative of -19*z - 34 - 9/2*z**2. What is the remainder when 33 is divided by o(-4)?
16
Suppose 2*y = 2*r - 824, -796*y + 833 = 2*r - 795*y. What is the remainder when r is divided by 64?
31
Suppose 0 = -3*g - o + 2484, -4*g + 8*o - 9*o = -3312. Suppose g*d - 818*d = 70. Let m = 3 + 0. What is the remainder when d is divided by m?
1
Suppose 0 = -7*z + 4256 + 1659. What is the remainder when z is divided by 417?
11
Let i be 14*(69/(-115))/((-14)/20). Suppose -i*l + 165 = -7*l. Calculate the remainder when 131 is divided by l.
32
Suppose -24*k + 113 - 17 = 0. What is the remainder when 120 is divided by (2/k)/((-13)/(-728)) - -5?
21
Let h(y) = 6 + 2*y + 3*y + 4*y. Calculate the remainder when h(8) is divided by ((-154)/66)/(7/(-48)).
14
Suppose 305 + 57 = 98*w - 30. Let m = 7 + -2. Suppose -m*x - 2*i + 109 = 0, 2*x - 5*i - 74 = -2*x. Calculate the remainder when x is divided by w.
1
Suppose 2*f - 741 = 9*u - 8*u, 2*f - 731 = 3*u. What is the remainder when 573 is divided by f?
200
Suppose 8*s - 10*s = 0. Suppose s = -4*n + 5*k + 173, -n + 209 = 4*n + k. What is the remainder when 208 is divided by n?
40
Let x be (-2172)/(-8) - (-15)/10. Let c = x + -125. What is the remainder when c is divided by 10?
8
Suppose 0 = -43*q + 42*q - 4*i + 50, -5*i - 22 = -2*q. Let z be 2/2 - -1*21. Suppose 4*f - z = 10. What is the remainder when q is divided by f?
2
Suppose 367*l = 372*l + 3*v - 118, 0 = 4*l - v - 74. What is the remainder when 24 is divided by l?
4
Suppose 324*g - 3894 - 966 = 0. Suppose 0 = 3*t + c - 48, 0 = 4*t + 3*c - 4*c - 57. Calculate the remainder when g is divided by t.
0
Suppose 3*b = -j + b + 219, 2*j = -2*b + 434. Suppose -3*w + u = 2*w + 19, 4*w + 14 = 2*u. Calculate the remainder when j is divided by (w/6)/(8/(-372)).
29
Suppose 0 = -2*x - 1 - 11. Let v(m) = m**3 + 10*m**2 - 3*m - 25. Calculate the remainder when -9*(-3)/x*-14 is divided by v(-10).
3
Let d = 12 - 0. Let l(t) = 36*t + 428. What is the remainder when l(-9) is divided by d?
8
Suppose 3*p + 2*p = -5*g + 445, -5*p + 441 = 3*g. Let y = -882 + 904. What is the remainder when p is divided by y?
21
Suppose -836*p + 1203*p = 217264. What is the remainder when p is divided by 360?
232
Suppose -3*d = 91*z - 95*z - 847, -d + 276 = 5*z. What is the remainder when 300 is divided by d?
19
Let s be 50/8 - (13/4)/13. What is the remainder when 70 is divided by (s - -29) + (0 + 6)/3?
33
Suppose -31*x + 56743 = -52966. What is the remainder when x is divided by 10?
9
Suppose -i + 4*i = 18. Let q be (-20)/(-8)*(-40)/(-50). Calculate the remainder when 24 is divided by q*3/(i/13)*1.
11
Suppose 589 = -48*m + 61*m - 698. Calculate the remainder when 1212 is divided by m.
24
Let d(r) = 15*r**2 - 643*r - 35. Calculate the remainder when 456 is divided by d(43).
48
Suppose a + 14 = 8*a. Suppose 4*r - 124 = -4*h, 8*h - 3*h - a*r = 127. What is the remainder when 269 is divided by h?
26
Suppose -3*f = 2*t - 10, -14 = -f - 3*f - 2*t. Suppose s - 28 - 11 = -3*n, f*s = 4*n - 52. Calculate the remainder when 48 is divided by n.
9
Suppose 0*z = -4*z - h + 79, 0 = 3*z + 5*h - 38. What is the remainder when 1798 is divided by z?
13
Let o(r) = -r**2 - 7*r - 4. Suppose k = -3*z + 20, -22*z + 0*k + 3*k = -25*z. What is the remainder when z is divided by o(-3)?
2
Let i(y) = -48*y + 46. Let u(l) = -25*l + 24. Let b(n) = 3*i(n) - 5*u(n). Calculate the remainder when b(-2) is divided by 39.
17
Suppose 2*c + 14*n = 16*n + 80, -7*n = 42. What is the remainder when 688 is divided by c?
8
Let u be (-6)/(-9)*(-3 - 0). Let i(p) = -11*p + 1. Calculate the remainder when i(u) is divided by ((-20)/(-15))/(12/81).
5
Suppose -5*l + 2 = -3. Let p(g) = 81*g - 14. Let r be p(3). Let x = r - 227. Calculate the remainder when x is divided by l.
0
Let b = -6684 - -6725. Calculate the remainder when 166 is divided by b.
2
Suppose 11*p - 1 = 10*p. Let t(g) = 20*g**3 + 4*g**2 - 4*g - 1. What is the remainder when t(p) is divided by (10/(-3))/(2/(-6))?
9
Suppose 2*n = -4*y + 3170, -2*y - 2765*n + 2768*n + 1589 = 0. Calculate the 