n m is divided by f?
0
Suppose 0 = -j - 5*h, h = -5*j + 4*h. Suppose j = -2*v + 102 - 14. Let l(y) = y**3 + 5*y**2 - 8*y + 7. What is the remainder when l(5) is divided by v?
41
Let u(w) = -6 + 2*w + 3*w + 0*w + 3*w. Suppose -o + 53 = -4*q + 6, 5*q - 107 = -2*o. Calculate the remainder when o is divided by u(3).
15
Suppose -95*j + 23306 = -20869. What is the remainder when j is divided by 167?
131
Suppose 89 = 2*w + 5. Suppose s + 27 = w. Suppose 3*r + s = 3*i, -2*i = i + 5*r - 55. What is the remainder when 58 is divided by i?
8
Suppose 0 = -27*n + 538380 - 44199. What is the remainder when n is divided by 13?
12
Let n(t) = 98*t - 912. Calculate the remainder when n(15) is divided by 3.
0
Let h = -8 - -5. Let n(o) = -25*o**2 + 272*o + 12. What is the remainder when n(10) is divided by -1 - (-1 - h) - -42?
37
Let z = 17 + -14. Suppose z*u + 131 = -13. Calculate the remainder when u/10*30/(-4) is divided by 10.
6
Calculate the remainder when 59 is divided by (65 - (-3 - -2))/(-18 + 20).
26
Let t(i) = -i**2 - 12*i + 47. Let n be t(-15). Suppose -z - n*z + 47 = 5*h, 5*z - 13 = h. What is the remainder when 69 is divided by h?
6
Suppose 0 = 13*z - 11*z - 10. Suppose 0 = -5*o - 2*j + 63, 67 = z*o + 5*j - 2*j. Calculate the remainder when 62 is divided by o.
7
Let j(q) = -3*q - 3*q + 8 + 4*q. Suppose 215 = -97*n - 173. Calculate the remainder when j(n) is divided by 9.
7
Suppose -2*u - 2*h + 20 = 0, 5*u + h - 35 - 19 = 0. Suppose -5*j = -4*z + u - 0, 5*j + 4*z = 21. What is the remainder when 36 is divided by j?
0
Let d be (2/(-6))/((1/9)/(-1)). Let k(s) = 5*s**2 + 3*s - 18. What is the remainder when k(d) is divided by 13?
10
Calculate the remainder when (2/(-7) - 2/(42/4467))*-1 is divided by 15.
3
Let y(k) = -k**3 - 12*k**2 + 13*k + 22. Let p be y(-13). What is the remainder when 262 is divided by 33/p*3/9*106?
50
Let u be (1/(2/26))/((-28)/(-28)). Suppose -3*g + 25 = 2*p, -u = -g - 2*g - 5*p. Let a(x) = 8*x - 38. What is the remainder when a(g) is divided by 26?
24
Let g(x) = 23*x**2 + 13*x + 13. Let y be g(-4). Let l = y - 103. Calculate the remainder when l is divided by 6.
4
Suppose 3*y + 358 = 5*k + 1111, -3*k - 753 = -3*y. Suppose y = -8*f + 1347. What is the remainder when f is divided by 46?
45
Let g(m) = -6*m + 85. Let c be g(7). Suppose r = 4*f - 1021, 2*f + 3*r - c = 478. What is the remainder when f is divided by 37?
34
Let y(r) = 9*r + 26. Let p(a) = a. Let z(j) = 3*p(j) - y(j). Let s = 5 + -3. Calculate the remainder when z(-6) is divided by s.
0
Let h = -3512 + 3732. What is the remainder when h is divided by 59?
43
Let t = -782 - -812. Calculate the remainder when -5*8/(-10) - -46 is divided by t.
20
What is the remainder when 2740 is divided by -4 - -9 - (-16 - (13 + -8))?
10
Suppose -20*h = -14*h - 36. Suppose -14 = -4*n - h. Calculate the remainder when (-2)/n + 4 + 91 is divided by 20.
14
Suppose 0*d - 3*d + 2*l + 7 = 0, 5*d + 10 = -l. Let k = d - -7. What is the remainder when (116/(-6))/(k/(-1 + -35)) is divided by 31?
23
Let h(i) be the third derivative of -28/3*i**3 + 0*i + 19/24*i**4 + 22*i**2 + 0. What is the remainder when h(6) is divided by 23?
12
Suppose -88*p + 1236 = -87*p + r, 0 = 5*r + 15. What is the remainder when p is divided by 45?
24
Let o(d) = -8*d**2 - 51*d + 7. What is the remainder when 1729 is divided by o(-6)?
4
Suppose 16*s = 20*s - 24, 4*m - 3*s - 8194 = 0. Calculate the remainder when m is divided by 43.
32
Calculate the remainder when 423 is divided by (148/(-10))/(42/(-20) - (-30 - -28)).
127
Let u = -149 - -731. Calculate the remainder when 123 is divided by (-15)/(-35) + u/14.
39
Suppose -h = 2*z - 13, -2*h + 13 = 7. Suppose -i + 3*q + 7 = 0, -z*q + 45 = 2*i + 2*i. Calculate the remainder when 49 is divided by i.
9
Let l = 1465 + 2465. What is the remainder when l is divided by 19?
16
Let w(v) = v. Let j(s) = -8*s + 11. Let r(u) = j(u) + 6*w(u). What is the remainder when 59 is divided by r(2)?
3
Suppose -473 - 406 = -3*j - 2*l, -5*j - 2*l = -1465. Calculate the remainder when j is divided by 101.
91
Suppose 0 = 6*k - 68 - 40. Suppose 3*v - 39 = k. Calculate the remainder when 78/(((-9)/(-2))/3) is divided by v.
14
Let z(s) = -s**2 - 2*s - 3. Let h be z(-2). Let a = h - -12. Suppose -12*g - 9348 = -105*g + 11*g. What is the remainder when g is divided by a?
6
Suppose 52 = 5*p + 8*p. Suppose 2*q = -9*g + 13*g + 24, -p*g + 36 = q. Suppose 0*w + 16 = 2*w. What is the remainder when q is divided by w?
4
Let c(g) = 12*g - 54. Let l be c(-14). Let k = -176 - l. Calculate the remainder when k is divided by 10.
6
Suppose -53 + 41 = -4*i. Suppose 0 = -5*y + 2*y. Suppose 4*f - 616 = -i*z - z, 4*z + f - 604 = y. What is the remainder when z is divided by 38?
36
Suppose 59 = 5*s - 4*a + 15, -3*s + 25 = -a. Suppose s + 2 = -2*q. What is the remainder when 3 is divided by (-2 + (-2 - q))/1?
0
Let b = -356 - -532. Suppose -3*w + b = 3*g + w, -5*w = -10. Calculate the remainder when 104 is divided by g.
48
Suppose 2*l + 2*d - 1064 = 0, -2*l + 4*l - d - 1061 = 0. Calculate the remainder when l is divided by 15.
6
Suppose 5*x + c = 6*x + 1605, -4*x - 6435 = c. Let g = 1625 + x. Let j = 62 + -39. What is the remainder when j is divided by g?
6
Suppose -10*q = -7*q + 117. Let r = q - -35. Let d(f) = -10*f - 4. Calculate the remainder when d(r) is divided by 8.
4
Let t(s) = 17*s**2 + 121*s - 244. What is the remainder when t(-9) is divided by 21?
2
What is the remainder when 735 is divided by (-3)/(((-3)/5)/(17 - -28))?
60
Suppose 4*c - 96 - 16 = -2*d, d = c + 56. Calculate the remainder when 138 is divided by (-2 - 6 - -9)/(2/d).
26
Let x(n) = 96*n - 340. What is the remainder when 558 is divided by x(5)?
138
Suppose 2*i + 2*o + 198 - 3902 = 0, -3*i + 3*o + 5544 = 0. Calculate the remainder when i is divided by 920.
10
Suppose -9 = -3*l, 0 = 3*b + 2*b + 2*l + 49. Let o be 35/b + 4/22. What is the remainder when 2/(-8) - (o - 402/8) is divided by 28?
25
Let z(c) = -5*c + 10. Let l be z(-5). Suppose 12*a - 5*a = l. Suppose g + 4*m - 26 = 0, g - a*m - 9 = 8. Calculate the remainder when 83 is divided by g.
17
Suppose 12 = 5*k - 8. Suppose -5*d - k*j + 86 = -98, -3*d = -5*j - 103. Let v(r) = -r - 3. What is the remainder when d is divided by v(-16)?
10
Suppose -10 - 188 = -18*k. Suppose -5*s + k*s - 1458 = 0. What is the remainder when s is divided by 6?
3
Let y be 0/(-5 - (6 - 14)). Suppose 2*q - 2 - 14 = y. What is the remainder when 60 is divided by q?
4
Let a be ((-24)/(-36))/((-3)/(-63)). Let r(h) = h + 2. Let o(l) = -10*l - 3. What is the remainder when o(-5) is divided by r(a)?
15
Let h be ((-10)/4)/((-45)/162). Suppose 19*l - 16*l + x - 126 = 0, 0 = -3*x - h. Calculate the remainder when 151 is divided by l.
22
Let m be (-25 + 24)*34/(-2)*-1. What is the remainder when 7/(-2)*(13 + m) is divided by 7?
0
Let y(b) = 1071*b + 1487. Calculate the remainder when y(-1) is divided by 7.
3
Let p(g) = -g**2 + 12*g - 5. Let s(c) = 26*c + 114. Let j be s(-3). Suppose 4*d = b + j, 0 = d - 4*b + 10 - 34. What is the remainder when p(5) is divided by d?
6
Let p = -7735 + 8020. Calculate the remainder when p is divided by 28.
5
Let w = 4929 - 4926. Let z(t) be the second derivative of t**4/6 - t**3/2 + t. Calculate the remainder when 35 is divided by z(w).
8
Suppose -2*x + 5*u + 181 = 0, -20*x + 18*x + 205 = 3*u. Suppose -x = -z + 4. What is the remainder when z is divided by 53?
49
Suppose 2*t = -t + 240. Suppose -t = -4*i + 2*i. Suppose 1135*l + 1905 + 939 = 1147*l. What is the remainder when l is divided by i?
37
Let w(q) = q - 6. Let y be (-66)/(-54) - (-2)/(-9). What is the remainder when 0/y - (-15 - 9) is divided by w(15)?
6
Suppose -68 - 243 = -l. Let t = l + -64. What is the remainder when t is divided by 62?
61
Suppose 0 = 7*g - 74 - 52. Suppose 5*v + 24 = 259. Suppose g*a + v = 821. What is the remainder when a is divided by 22?
21
What is the remainder when (3884/(-8))/(2/(-8)) is divided by 108?
106
Let w be (8/(-12))/(4/(-402)). Let s = -152 + 129. Let z = w + s. Calculate the remainder when 85 is divided by z.
41
Suppose 51 = v + 32. Suppose x = -v*x + 4620. Calculate the remainder when x is divided by 78.
75
Suppose 5*r = -k - 0*r - 14, 20 = -4*r. What is the remainder when (-4340)/465*1/(7/(-18)) is divid