5*h - 409 + 4, 2*h - 156 = c. Calculate the remainder when h is divided by f.
16
Let o = -55 + 60. Suppose 4*u - 684 = 4*x, 0*x - 5*x - o*u = 865. Calculate the remainder when ((-2)/4)/(-1 + (-170)/x) is divided by 15.
13
Let b(h) = h**3 + 17*h**2 - 574*h + 58. Calculate the remainder when 12851 is divided by b(17).
125
Suppose 3*a - 6 = 0, y - 3*a + 8*a = 37. Suppose 0 = 16*u - 96*u + 10240. What is the remainder when u is divided by y?
20
Let a(g) = -g**2 - 11*g - 12. Let o be a(-9). Suppose 50 = o*b - b. Suppose -51 = -q + b. What is the remainder when q is divided by 22?
17
Suppose 3*l - 121 - 176 = 0. Let q(u) = -7*u + 244. Let f be q(9). Let s = 198 - f. Calculate the remainder when l is divided by s.
14
Let o(k) = 2*k**2 + 6*k + 6. Let g be o(-4). Calculate the remainder when 39 is divided by 4/g - (-636)/28.
16
Let u = -262 - -121. Let p = u + 284. Let c = -6402 + 6431. What is the remainder when p is divided by c?
27
Let d(z) = -z**3 - 13*z**2 - 11*z + 27. Let v be d(-12). Suppose -2*i + 17 = -v. Let a = 60 - i. What is the remainder when a is divided by 16?
12
Let x = -404 + 590. Suppose -4*g + x = 2*g. Suppose -5*n + 74 = 4*w, -1 = -2*n - 4*w + g. Calculate the remainder when 24 is divided by n.
10
Suppose 0 = -4*v + 4*p + 420, v + 0*v - 117 = -3*p. Suppose -12*a - 5*f + 51 = -11*a, -2*a - 4*f = -v. What is the remainder when 221 is divided by a?
53
Let u(f) = -4*f - 82. Let w be u(-19). What is the remainder when 25 is divided by -3*(34/w - -3)?
1
What is the remainder when (353 - 212)*(2 - -1) is divided by 56?
31
Suppose 14*y + 12 = 2*y. What is the remainder when (-42)/(-21)*((-466)/(-4) - y) is divided by 59?
58
Let f be (-9)/(-1 - 1/2)*-492. What is the remainder when -3*(f/135 - 2/(-10)) is divided by 35?
30
Suppose -201*z + 147*z + 1728 = 0. What is the remainder when 1918 is divided by z?
30
Let o = 33 + -13. Let d(g) = -g**3 - g**2 + 8*g - 16. Let p(f) = -f**3 + 6*f**2 + 3*f + 22. Let k be p(7). Calculate the remainder when d(k) is divided by o.
16
Let p(w) be the second derivative of 5*w**4/12 - 2*w**3/3 - 3*w**2/2 - 93*w + 1. What is the remainder when 13 is divided by p(-1)?
1
Let u(r) = 63*r + 2657. Calculate the remainder when u(-31) is divided by 163.
52
Suppose 31*y - 138*y = -76826. What is the remainder when y is divided by 9?
7
Suppose -27*m = -33342 + 6548 - 2015. What is the remainder when m is divided by 51?
47
Suppose 0 = 2*t - 80 + 22. Calculate the remainder when t is divided by 22*((-65)/26 - 1*(-2 - 1)).
7
Let v(a) = -258*a - 998. What is the remainder when 127 is divided by v(-4)?
25
Calculate the remainder when (-47)/752 - (-4 - (-50564)/(-64)) is divided by 53.
52
Let j(s) = -2*s - 2*s + 2 + 52 - s + 6*s. What is the remainder when j(19) is divided by 39?
34
What is the remainder when (7346/(-6) - -1)*(-2124)/118 is divided by 182?
180
Suppose -25 = 5*z, -2*z - 17 = w - 13. Suppose -4*o + 14 = i - w, 0 = -4*i - 3*o + 41. Calculate the remainder when 23 is divided by i.
7
Let r = 1855 + -1759. What is the remainder when 1047 is divided by r?
87
Let f(a) = -a**3 + 2*a**2 + a + 1. Let r be f(2). Let p be 2204/(-406) + 9/21. What is the remainder when (r/(-5))/(p/25) is divided by 3?
0
Let v(b) = 2*b**2 + 19*b - 3. Let w be v(17). Suppose 10*m + 3*m = 2106. Suppose 10*q - m = w. Calculate the remainder when q is divided by 54.
52
Let m = -880 - -1467. What is the remainder when m is divided by 146?
3
What is the remainder when 918 is divided by (-28)/(-56)*1*168?
78
Let m be ((-68)/32)/(-17) + (-1262)/(-16). Let v = 152 - m. Let d(t) = 5*t + 7. Calculate the remainder when v is divided by d(6).
36
Let m = -57 + 95. Let q be -1 + 1/((-1)/(-3)) + 2. Suppose -5*o + 44 = q. What is the remainder when m is divided by o?
6
Let m = 196 + -15. Let c(h) = -3*h - 2. Calculate the remainder when m is divided by c(-16).
43
Suppose 4*b = 3*b - 3*b + 128. Calculate the remainder when 511 is divided by b.
31
Suppose 10*p - 13*p = -5*d + 924, p = 2. Suppose -d = -5*i + 4*v, 0 = 2*v + 2 + 6. What is the remainder when 12/15 + 2856/30 is divided by i?
28
Suppose -5*k = 4*s - 75, 0 = -3*k + 5*s + 35 + 10. Let n(g) = g + 4. Let z be n(-4). Suppose -d - 3*d + 288 = z. What is the remainder when d is divided by k?
12
Suppose -1128*r = -1082*r - 598. Let x be 1/5 + (-18)/(-10). Suppose g + 3*v + 5 = 2*g, 10 = x*g + 5*v. What is the remainder when r is divided by g?
3
Suppose 4*j + a = 8410 - 2201, 6200 = 4*j + 4*a. What is the remainder when j is divided by 38?
33
Let r = 5987 + -5942. Calculate the remainder when 899 is divided by r.
44
Suppose -26*p + 2760 = 318*p - 114*p. Suppose -5*q = -94 + 4. Calculate the remainder when q is divided by p.
6
Let k = 27112 + -27105. Calculate the remainder when 643 is divided by k.
6
Let a = -15839 + 16329. What is the remainder when a is divided by 82?
80
Let c = -25 + 35. Let z(o) be the first derivative of -o**3/3 + 9*o**2/2 + 15*o - 2. What is the remainder when 29 is divided by z(c)?
4
Let r be 1/4 - (-110)/(-88). Calculate the remainder when (80/(-50))/((6/1515)/r) is divided by 58.
56
Suppose 3*n = 4*f - 950 - 282, -n = 4. Calculate the remainder when 947 is divided by f.
32
Let a = -1 - -2. Suppose -5*x - t = -12, 4*t = 6 - 18. Suppose 3*j - x*s = -j + 25, 4*j + 2*s = 30. Calculate the remainder when j is divided by a.
0
Let b = 585 + -585. Suppose 50*s - 359 - 891 = b. Calculate the remainder when 123 is divided by s.
23
Let p(k) = k**2 + 121*k + 2630. What is the remainder when 156 is divided by p(-27)?
64
Suppose -5*u = 3*m - 2832, -48*u + 4*m + 1705 = -45*u. Suppose -5*z = -b + 47, -b - 3*z = z - 65. What is the remainder when u is divided by b?
54
Let r be (-10)/(-15)*-3 + 950. Suppose 0 = -78*c + 90*c - r. What is the remainder when c is divided by 20?
19
Let r = 1047 + -959. What is the remainder when 526 is divided by r?
86
Let c(m) = 2*m**2 + 33*m + 23. Let h be c(-16). Let s(a) = 2*a**2 - 8*a + 17. What is the remainder when s(h) is divided by 6?
5
Let c(l) = -4*l - 8*l + 0*l - 13. What is the remainder when c(-3) is divided by 2?
1
Suppose -133*d + 87205 = -22*d + 21937. What is the remainder when d is divided by 59?
57
Let s(d) = d**3 + 20*d**2 - 43*d + 108. Let h(z) = 2*z**3 + z + 2. Let a(p) = h(p) - s(p). What is the remainder when 303 is divided by a(18)?
37
Let x = -93 + 260. Let o(s) = s**3 - s**2 - 61*s - 21. What is the remainder when x is divided by o(-7)?
13
What is the remainder when 16/(-56) - (-50060)/35 is divided by 159?
158
Suppose -2*w + 24 = -w + 2*b, -5*w - 3*b = -64. What is the remainder when 924 is divided by w?
4
Let p = -5008 - -5027. Calculate the remainder when 80 is divided by p.
4
Let d(r) = -r**2 + 22*r - 12. Let l be d(22). What is the remainder when (22450/12)/25 - 2/l is divided by 26?
23
What is the remainder when 156 is divided by 87/2 - ((-260)/8 + 35)?
33
Let g = 83 + -48. Let j be (g/(-20))/((-2)/24). Suppose 37 = 3*s - o - j, 130 = 5*s + 5*o. Calculate the remainder when 39 is divided by s.
18
Let t be (4/14 - 5/(-7)) + -11. Suppose 0 = 4*f - 20, f - 3*f - 14 = -3*j. What is the remainder when 17 is divided by (t/j)/(4/(-32))?
7
Suppose -4*w = 4*z - 520, 2*z - 342 = w - 76. Calculate the remainder when 245 is divided by z.
113
Let m(z) = 2*z - 2. What is the remainder when m(5) is divided by (-15)/(-9)*81/45?
2
Let w = -524 - -1265. Suppose -5*d + 18*d = w. What is the remainder when d is divided by 16?
9
Suppose 124*r - 138*r = -6258. Suppose -r = -9*x - 69. What is the remainder when 92 is divided by x?
8
Suppose -18*x = -22*x - 2*f + 92, -x + 2*f + 18 = 0. Calculate the remainder when 144 is divided by x.
12
Let f(a) be the second derivative of a**4/12 + 5*a**3/6 - a**2/2 + a. Suppose -1014 = 455*y + 419*y - 900*y. What is the remainder when y is divided by f(-6)?
4
Suppose 0 = -553*b - 126657 + 3755443. What is the remainder when b is divided by 12?
10
Suppose -4*t = -3*i + 3 + 27, -9 = 3*t. Suppose 0 = 3*h - 12 - 99. Calculate the remainder when h is divided by i.
1
Suppose l + 559 = 9*l + 15. What is the remainder when 673 is divided by l?
61
Let i = 206416 - 206221. Suppose -m + 49 = -2*n, -m - 3*n + 91 = m. What is the remainder when i is divided by m?
7
Suppose 62*h - 603 - 9751 = 0. What is the remainder when h is divi