the remainder when 57 is divided by 729/36 - (-1)/o?
17
Suppose 2*t = d - 2, -3*d = t - 6 - 0. Suppose t = -11*m + 756 + 289. What is the remainder when m is divided by 15?
5
Suppose f + 13 = 3*o, -5*f = 3*o + 13 + 16. Let i(s) = s**3 + 8*s**2 + 6*s + 8. What is the remainder when 27 is divided by i(f)?
12
Let g(x) = x**3 + 3*x**2 - 47*x - 11. Suppose 7*h = 16*h + 72. What is the remainder when 74 is divided by g(h)?
29
Let o = 3 + -15. Suppose -4*j + 291 = -3*y, 3*j + 641*y - 217 = 642*y. What is the remainder when j is divided by 152/6 - (-4)/o?
22
Let b be -1 + 4/((0 - -4) + -3). Suppose -133 = 2*w - 7*w + 2*a, -5*w + 132 = -b*a. Calculate the remainder when w is divided by 5.
2
Suppose -119053 = -26*k + 28913. Calculate the remainder when k is divided by 78.
75
Suppose 5*p - 119 - 68 = -2*l, l - 4*p - 61 = 0. Let d = 24 + 15. What is the remainder when d is divided by (-192)/(-27) - 9/l?
4
Let m = 43558 + -43463. Let h be 2 - (-4)/(12/21). Suppose 4*n - 5*s - 106 = 0, -h = 4*s - 1. What is the remainder when m is divided by n?
23
Suppose -4*r = 53 - 173. Suppose -5*t - 20*x = -23*x - 297, 2*t = -2*x + 106. Calculate the remainder when t is divided by r.
27
Suppose 0 = -5*c, 2*c - 17 - 45 = -2*a + 4*c. What is the remainder when 122 is divided by a?
29
Let b = -275 + 286. Suppose 5 = 2*v - k, -3 = 3*v - 4*k + 2. What is the remainder when (3 - -8) + (b - 5) is divided by v?
2
Suppose -17*v = 12*v - 783. Suppose 233 = 3*i - 325. Calculate the remainder when i is divided by v.
24
Let i be 2 + 2 + (-5 - -5 - -4576). Suppose 4726 + i = 47*j. What is the remainder when j is divided by 50?
48
Suppose -253*q + 123 + 2486 = -174. What is the remainder when 6092 is divided by q?
9
Suppose 26*r = -26*r + 11388. What is the remainder when r is divided by 79?
61
Suppose -p + 3*u + 84 = 0, 0*u + u + 2 = 0. What is the remainder when p is divided by (27/(-108) - 83/(-12))*3?
18
Suppose 0 = l - 0*l - 27. Suppose 0 = 4*u + 3*z - 11 - 12, 4*z = -3*u + 26. Suppose 0 = -4*i + u*i + 104. Calculate the remainder when i is divided by l.
25
Let y = 240 - 182. Let b = y + -44. Calculate the remainder when b is divided by 7.
0
Let j(l) = 3*l - 2. Let h be j(3). Let v = 17 - h. Calculate the remainder when 10 is divided by -2 + (v - 4/1) + 2.
4
Let j be (6/(-30)*8)/(4/10). What is the remainder when 39 is divided by 15 + 7 + j + 2?
19
Let z(p) = -28*p + 719. What is the remainder when 131 is divided by z(21)?
0
Let d(b) = -25*b + 67 + b**3 + 8*b**2 - 117 - 69. What is the remainder when d(-9) is divided by 15?
10
Suppose -23*y + 30*y - 35 = 0. Calculate the remainder when 93 is divided by ((-3)/y - -1)/(124/9920).
29
Let f be (25/15)/((-5)/(-15)). Suppose 2*y - 3*z = -f*z + 120, y = 2*z + 75. What is the remainder when 387 is divided by y?
62
Let x = 121 - 119. Let v = -496 + 528. Calculate the remainder when v is divided by x.
0
What is the remainder when 176 is divided by 428/10 - (-1244)/(-1555)?
8
Suppose 4*z - 54 = 2*f, -9 = -3*z + z - 5*f. Suppose -190 = -2*h + 14*k - z*k, h - 3*k = 97. What is the remainder when h is divided by 16?
14
Let l(g) = 10*g**2 + 70*g - 136. Calculate the remainder when 392 is divided by l(-10).
64
Suppose 2*b = 2, -i = -2*b - 3*b + 1. Let y(f) = 2*f**3 - 2*f**2 - 11*f + 5. Let z = 114 + -84. What is the remainder when y(i) is divided by z?
27
Let u(r) = -7*r - 54. Let i be u(-8). Let o(v) = v**3 + v**2 - 2*v + 2. What is the remainder when 4 - (3 + -1) - -34 is divided by o(i)?
6
Let u be (-13488)/48 + (-1 - 1). Let h = -265 - u. What is the remainder when 266 is divided by h?
14
Let i be 22/(-154) + 58/14*1. Suppose 5*l + 3*a = 16, -2 = -3*l + i*a - 4. What is the remainder when 46 is divided by l?
0
Let k = -256 + 103. Let u = k - -216. Suppose -2*a + 0*a = 5*h - 55, 5*h - 4*a - 85 = 0. What is the remainder when u is divided by h?
11
Let h(i) = -924*i + 8. Calculate the remainder when 3301 is divided by h(0).
5
Suppose 5*w + 3*p = 3 + 14, -2*w - 3*p = -5. Suppose -v + 2 = 4. Let h(t) = -9*t - 5. Calculate the remainder when h(v) is divided by w.
1
Let g(u) = -41*u - 1. Suppose -18083*q + 18109*q = 8294. What is the remainder when q is divided by g(-1)?
39
Suppose -r + 105 = 11*f, -6*r + 2*f = -8*r + 350. What is the remainder when 1302 is divided by r?
28
Let o = 1 - -9. Suppose -s + o = -7. Let i(y) = -2*y**3 + 61*y. What is the remainder when i(-6) is divided by s?
15
Let h be (-310)/(-6) - (-15)/45. Suppose -4*j + 16*b + h = 18*b, -5*b = j + 5. Suppose -2*r - r = -15. Calculate the remainder when j is divided by r.
0
Let b(g) = 35*g + 208. Let w(d) = 7*d + 42. Let j(l) = -2*b(l) + 11*w(l). Calculate the remainder when 20 is divided by j(-6).
0
Suppose -3*i + 236 = -4*b + 5*b, -5*i + 230 = b. Let f = 209 - 146. What is the remainder when b is divided by f?
56
Let k = 25292 + -23497. What is the remainder when k is divided by 45?
40
Let k(c) = c**3 + 10*c**2 + 3*c - 7. Let f be (-3)/(5/10*(-1)/2). Suppose f*n + 180 = 18*n. What is the remainder when k(-6) is divided by n?
29
Suppose -3101 - 3507 - 7780 = -654*o. Let t(f) = -10*f - 5. What is the remainder when t(-4) is divided by o?
13
Suppose -28*n + 314160 = 76*n + 106*n. What is the remainder when n is divided by 491?
23
Let a = -32633 + 32685. What is the remainder when 445 is divided by a?
29
Let b(d) = -17*d**3 + d**2 + 2*d + 1. What is the remainder when 35/(-5)*(0 - 1/(4/28)) is divided by b(-1)?
15
Let v = -96 - -99. Suppose 0 = 5*w + v*s - 2*s - 666, -s = -w + 138. Calculate the remainder when w is divided by 15.
14
Suppose 2*g - 32 = -2*l, 5*l - g - 2*g = 112. Suppose -730 = 22*c - 1984. Calculate the remainder when c is divided by l.
17
Let x(i) = -36*i - 76. Calculate the remainder when 55 + (-56)/(-35) + (-4)/(-10) is divided by x(-3).
25
Suppose -6*m + 36 = -3*m. Let k = 20 + 14. Let s = 37 - k. Calculate the remainder when m is divided by s.
0
Let i(y) = y**3 + 32*y**2 - 20*y - 132. What is the remainder when i(-32) is divided by 8?
4
Let u(z) = -2*z**2 - 6*z + 41. Let w be u(-6). Suppose -739 + 964 = w*g. Let d(m) = m**2 + m - 3. Calculate the remainder when g is divided by d(-3).
0
What is the remainder when -13 - (-10 + 63)*-61 is divided by 25?
20
Let s(b) = -4*b + 60. Let x = 265 - 218. Calculate the remainder when s(-43) is divided by x.
44
Let p = 2199 + -2063. What is the remainder when p is divided by 41?
13
Suppose 5*s - 5*f = 240, 0 = -2*s + 19*f + 26 + 138. Calculate the remainder when 110 is divided by s.
22
Suppose -18*c + 13*c = 2*g - 210, 3*c = 4*g + 126. Let q(k) = 2*k**2 - 4*k + 2. Let d be q(5). Let x = c - d. Calculate the remainder when 46 is divided by x.
6
Suppose 0*l + l - 37 = -3*t, 3*l - 61 = t. Let x be l/99 - ((-14)/(-9))/(-2). What is the remainder when 86 is divided by 30 - 1*x/4*4?
28
Suppose -318*s = -127*s - 2865. Let b(g) = -g + 46. Calculate the remainder when b(0) is divided by s.
1
Suppose 4*n + 12 - 40 = 0. Suppose 0 = h + 4*f + n, 5*h - f - 4*f = 15. Let v = -29 + 36. What is the remainder when v is divided by h?
0
Let q = -2301 - -2367. Calculate the remainder when 139 is divided by q.
7
Suppose 0 = -5*k + 4*s + 282, 0*k + 6*s + 162 = 3*k. Suppose 5*j - k = -3. Calculate the remainder when 515 is divided by j.
9
Suppose 7*f = 6*f + a + 55, 3*f + 4*a - 179 = 0. Suppose o - f = 51. Calculate the remainder when o is divided by 14.
10
Let u = 6632 + -5900. What is the remainder when u is divided by 179?
16
Suppose 2*z + 729 = 12*z + 17*z. What is the remainder when 2910 is divided by z?
21
Let u = -101 + 148. Let r = -313 + u. Let b = -156 - r. What is the remainder when b is divided by 37?
36
Suppose r - 2*b + 115 = -18, 4*r + 547 = 3*b. Let j = 144 + r. What is the remainder when 50 is divided by j?
0
Let h(b) be the second derivative of -b**5/10 - 25*b**4/12 - 13*b**3/6 + b**2 + 64*b - 5. Let v = 30 + -42. Calculate the remainder when 40 is divided by h(v).
12
Suppose -2*n = -8, -4*n = 25*h - 27*h + 54. What is the remainder when 264 is divided by h?
19
Let s(b) = -b**2 - 93*b - 1860. Calculate the remainder when s(-41) is divided by 160.
112
Let f(w) be the first derivative of w**4/2 + 2*w**3/3 - 3*w**2/2 + 2*w - 11. What is the remainder when 16 is divided by f(1)?
1
Suppose b + 0 - 5 = -3*i, -2*i = 0. Let t(n) = -b*n