164 = 3*z, 0 = -l*z - 5*o + 212. What is the remainder when 107 is divided by z?
11
Suppose 7*g - 6*g = 57. Suppose -g*s - 396 = -61*s. Calculate the remainder when s is divided by 34/(0 - -2)*(53 + -52).
14
Suppose 22 = 3*v - 50. Let y(j) = -552*j - 782. Let l(t) = -19*t - 27. Let n(m) = -115*l(m) + 4*y(m). What is the remainder when n(-4) is divided by v?
21
Suppose 2932*r - 7242 = 2898*r. Calculate the remainder when r is divided by 95.
23
Let z(s) be the first derivative of -2*s**2 + 162*s + 184. Calculate the remainder when z(36) is divided by 4.
2
Suppose 101*i - 29 = 97*i + q, -4*q = -5*i + 50. Suppose a - 3 = 3. Suppose a*z - 156 = 2*z. What is the remainder when z is divided by i?
3
Let l(n) = -140*n - 4823. What is the remainder when 1347 is divided by l(-35)?
38
Let p be 8/(-6)*((-143)/52 + 2). Let g = -62 + 89. What is the remainder when ((-4)/(-16)*1)/(p/316) is divided by g?
25
Let r(a) = -2*a**3 - 5*a**2 + a - 9. Suppose -3*s - 5*j + 5 = 0, j + 2*j = 3. Suppose s = 3*u - 6 + 18. Calculate the remainder when r(u) is divided by 9.
8
Suppose -62*w = -63*w - 2*j + 269, 13*w - 3272 = -j. What is the remainder when 11545 is divided by w?
250
What is the remainder when 704 is divided by 127232/544 - (-4)/34?
2
Suppose 89 = -5*h + 919. Suppose 4*b - h = 118. Calculate the remainder when 203 is divided by b.
61
Let p(w) = 10 + 1348*w + 14 - w**2 + 2*w**2 - 1338*w. Let v be p(-6). Suppose m + 24 = -v*q + q, -q = 3*m - 24. What is the remainder when q is divided by 3?
0
Let p be 23/(-6) - (-375)/450. Calculate the remainder when p + 1/(-1) + 31 + -2 is divided by 16.
9
Let h = -2054 + 2069. Let q = 9 + -52. Let t = q + 86. Calculate the remainder when t is divided by h.
13
Suppose -1545*y - 1775 = -1550*y. Let x = 373 - y. Suppose 3*d - 50 - 88 = 0. What is the remainder when d is divided by x?
10
Let z(j) = j**3 - 12*j**2 - 14*j + 3. Let x be z(13). Calculate the remainder when 121 is divided by (615/75)/((-2)/x).
39
Let n = 42378 + -41636. What is the remainder when n is divided by 133?
77
Suppose -13*b = 1354 - 1796. Calculate the remainder when 2242 is divided by b.
32
Suppose 0 = x + 18. Let j = x - -28. What is the remainder when (-2)/(-10) - (-968)/j is divided by 25?
22
What is the remainder when 27 is divided by (100/10 - 11)*(-1 - 18)?
8
Let u(g) = 69*g - 3240. Calculate the remainder when u(56) is divided by 308.
8
Let l(s) = -142*s - 717. What is the remainder when l(-8) is divided by 60?
59
Let u = -1 + 1. Suppose 4*i - 264 - 8 = u. Let c = -298343 - -298367. Calculate the remainder when i is divided by c.
20
Calculate the remainder when 304 is divided by (3 - 88/24)/(-4 - 6870/(-1719)).
113
Suppose 2822 = 17*g - 645 + 832. Calculate the remainder when 533 is divided by g.
68
Let r = -52 - -217. Suppose 13 = -5*b - 2, -3*u - b + r = 0. Calculate the remainder when 105 is divided by u.
49
Let k(h) = -2*h + 20. Let g(c) = -c**2 - 14*c - 18. Let o be g(-13). What is the remainder when k(o) is divided by 34/2 - 6*(-30)/(-36)?
6
Suppose -22*f + 17*f + 2808 = -r, 4*r - 2818 = -5*f. What is the remainder when f is divided by 14?
2
Let t(u) = u**3 + 10*u**2 - 9*u - 4. Calculate the remainder when t(-8) is divided by -6*23/(-3) + 4.
46
Let v(h) = -h**3 + 6*h**2 - 7*h - 4. Let o be v(4). Suppose o = -5*p - w + 60, -3*w + 14 = 3*p + 2*w. What is the remainder when p is divided by 7?
6
Let i = -637 - -3255. Suppose 0 = -3*q + 4*r + 1566, -q + 4*r + i = 4*q. What is the remainder when q is divided by 31?
30
Suppose z + 4807 = 4*n, 35*n - 1199 = 34*n + 3*z. What is the remainder when n is divided by 56/3 - 18/27?
14
Let g be 4030/(-22) + 6/33. Let t = -157 - g. Calculate the remainder when 154 is divided by t.
24
Suppose -2627*d + 180 = -2624*d. What is the remainder when d is divided by 6?
0
Let j(d) = -d + 44. Let k be j(0). Suppose 19*u + 23*u - 84 = 0. Suppose q - u*q = r - k, -9 = 3*q. Calculate the remainder when r is divided by 13.
8
What is the remainder when 3/165*-33 - (-1 - 1413/5) is divided by 20?
3
Let f(p) = 2*p**3 - 18*p**2 - 39*p - 7. Calculate the remainder when (-2)/6 + (-550)/(-3) is divided by f(11).
39
Let j = -704 + 779. What is the remainder when 4199 is divided by j?
74
Let o(t) = 3*t + 104 + 12 + 5*t. Calculate the remainder when o(-13) is divided by (3/(-6))/((-1)/6).
0
Suppose -1071 = -2*u + h + 61, 5*h = -4*u + 2278. Calculate the remainder when u is divided by 68.
23
Let u = 97 - 92. Suppose -u*c - 2*i = -340, -5*c - 1 = -2*i - 321. What is the remainder when 329 is divided by c?
65
Let t(y) = -3*y + 5 + 21*y - 2. Suppose -q + 9*a = 7*a, 0 = -4*a + 8. What is the remainder when t(q) is divided by 19?
18
Let r(p) = p**2 - 3*p - 58. Let g be r(8). Let b(k) = k**2 + 15*k - 43. What is the remainder when 153 is divided by b(g)?
10
Suppose 4*s = -7*u + 5*u + 750, 2*s - 2*u - 384 = 0. What is the remainder when s is divided by 4?
1
Let p = -3803 + 3838. Suppose u - 9 + 0 = 0. Calculate the remainder when p is divided by u.
8
Suppose 4*l = 3*l - 5*s + 277, -4*l + 1076 = 4*s. What is the remainder when 742 is divided by l?
208
Calculate the remainder when (206/6)/((-1)/(-3)) is divided by (375/250)/(-3*(1 - 31/30)).
13
Let z = 3220 - 3210. Let m = -116 - -184. What is the remainder when m is divided by z?
8
Let l(k) = -3*k + 15. Suppose 0 = 6*x - 336 + 84. Suppose 3*t + x = -4*r + 12, -t + 16 = -3*r. Calculate the remainder when l(r) is divided by 7.
5
Suppose -f - 5 = -30. Let x(l) = -44 + 7*l + 28 + f + l. What is the remainder when x(5) is divided by 10?
9
Let s be 5 + 2 + -1 + (9 - 13). Suppose 0 = -z + s, 0 = -4*o + z - 3*z + 432. Calculate the remainder when o is divided by 19.
12
Suppose 10*s = 26*s + 16. Let h = 8 + 4. What is the remainder when s/4 + -2 + 370/8 is divided by h?
8
Let l(c) be the third derivative of 4*c**5/15 - 5*c**4/8 + 17*c**3/3 - c**2 - 171. Calculate the remainder when l(4) is divided by 58.
56
Suppose -x + 0*x = -25. Calculate the remainder when 11501/(-106)*7*4/(-98) is divided by x.
6
Let z(o) = 9*o**3 - 126*o**2 - 46*o + 67. Calculate the remainder when z(20) is divided by 125.
122
Let u(b) = -3*b**3 - 3*b**2 - 9*b - 34. What is the remainder when 466 is divided by u(-3)?
43
Let v = 63 - 40. Suppose 22*r - v*r = -96. Let t = r - 49. Calculate the remainder when t is divided by 8.
7
Calculate the remainder when (-1 - 99)*(-22 - (-777)/74) is divided by 30.
10
Let b be (-344)/(-72) - 4/(-18). Suppose 0 = -b*g + 10, -4*f - 2*g = 2*g - 88. Let m = -590 - -629. Calculate the remainder when m is divided by f.
19
Let x be -5 - 4 - 2/3*6. What is the remainder when 47 is divided by x/((-7)/(12 + -5))?
8
Suppose 0 = 135*c - 13973 - 36112. Calculate the remainder when c is divided by 106.
53
What is the remainder when 350 is divided by -11 + -6*32/(-6)?
14
Let x = -17607 + 18283. What is the remainder when x is divided by 242?
192
Let d(a) = 16*a**2. Let n be d(-2). Let q = n - 39. Calculate the remainder when 62/(-2)*68/(-17) is divided by q.
24
Let y(j) = j**3 + 19*j**2 + 4. Let x be y(-19). Suppose 8 = -x*r - 4. Calculate the remainder when 50 is divided by (8 - (2 + 1))*5 - r.
22
Let h be 24*(2 + 16/12). Calculate the remainder when 108 is divided by (-55)/2*(-64)/h.
20
What is the remainder when ((2 - (-28)/(-16)) + 1)/((-32)/(-74752)) is divided by 34?
30
Let h(m) be the third derivative of m**6/120 - 2*m**5/15 + 3*m**4/8 - m**3/2 - 11*m**2. What is the remainder when 25 is divided by h(7)?
3
Let x be 0 - (-238)/22 - 36/(-198). Let s(k) = k**3 - 9*k**2 - 22*k + 16. Calculate the remainder when 83 is divided by s(x).
3
Let a(i) = -53*i**3 + 6*i**2 + i + 52*i**3 - 4*i - 10. Let q(p) = p**2 + 1. Let v(n) = a(n) + 5*q(n). Calculate the remainder when v(4) is divided by 14.
11
Suppose 938 = 764*y + 765*y - 1522*y. Calculate the remainder when 688 is divided by y.
18
Let t = 5374 + -5343. Calculate the remainder when (-1)/(-3) - (-1292)/12 is divided by t.
15
What is the remainder when (27/2)/((-6)/(-328)) is divided by -5 + 216/18 + -11 + 23?
16
Let c(s) = 5*s**3 - s**2. Let k be c(1). Suppose 3*p = -p - k*f, p = -5*f - 4. Calculate the remainder when 9 is divided by 2/p - 2/(-4)*6.
4
Suppose 32*r = 2*m + 37*r - 29, 0 = -3*m + 4*r + 9. Suppose -3 - 21 = -3*x. Suppose 0 = 6*f - m*f + x. Wha