i(m) = 5*m + 98. Let r(n) = -n**3 - 5*n**2 - 4*n + 5. Let s be (-1)/2 - 14/4. Calculate the remainder when i(-17) is divided by r(s).
3
Suppose 94*o = 104539 + 159037. Calculate the remainder when o is divided by 11.
10
Let j be -1 - (-2)/3 - (-336)/63. Let x(m) be the first derivative of m**2/2 + 18*m - 4. What is the remainder when x(j) is divided by 14?
9
Let t(y) = -21*y + 522. What is the remainder when t(-15) is divided by 65?
57
Suppose 13*t - 30406 = -6*t - 4*t. Suppose 13 = 4*p - 95. Calculate the remainder when t is divided by p.
26
Suppose -96*i - 1820 = -116*i. What is the remainder when i is divided by 36 - 1 - (13 - 12)?
23
Let n(l) = -l**3 + 5*l**2 + 2*l + 1. Suppose -y - 5*o = -32 + 35, -5*y + o = -89. Suppose 3*c - 37 = y. What is the remainder when c is divided by n(5)?
7
Let c be 7*(36/(-14) + 3). Suppose -r + s = -20, -2*s = c*r + 15 - 60. What is the remainder when 19 is divided by r?
2
Suppose -5*o - 758 + 862 = -c, 5*c = -o. Calculate the remainder when 1439 is divided by o.
19
Suppose 247 = -7*u - 6*u. Let h(f) = -f**3 - 18*f**2 + 22*f + 63. Calculate the remainder when 44 is divided by h(u).
2
Let r be 18/54*(-1 + -2). What is the remainder when 97 is divided by (-312)/(-18 - -12) + 5 + r?
41
Suppose 0 = -4*i - 4*y + 72, 9*i = 4*i - 3*y + 78. What is the remainder when 13220 is divided by i?
8
Let u(g) = g**2. Let r = -9088 - -9089. Calculate the remainder when u(2) is divided by r.
0
Let j(x) = -4*x + 100. Let c be j(25). Suppose 9*y - 63 = -c*y. What is the remainder when 97 is divided by y?
6
Let v = 497 + -226. Let s = v - 255. What is the remainder when -3 - -1 - (-64 + 1) is divided by s?
13
Suppose 13 = z - 4*w - 7, -2*z + 28 = -4*w. What is the remainder when 197 is divided by (-6)/z*3828/(-99)?
23
Let v be ((-268)/335)/(2/(-10)). Suppose 3*a - 201 = -3*c, 0 = v*c - 0*a - 3*a - 233. Calculate the remainder when 203 is divided by c.
17
Suppose 16*o - 5679 = 6401. Let c = 762 - o. Calculate the remainder when 63 is divided by c.
0
Suppose 414 = w - 20*a - 208, 4*a = 4*w - 1956. What is the remainder when w is divided by 88?
42
Suppose 1276*h = 1267*h + 61254. Suppose 57*g - 16*g = h. Calculate the remainder when g is divided by 6.
4
Suppose 0 = v + 4*z - 348, 3*v + z = -2*z + 1017. Suppose 3*o + o = 4*g + v, -2*g = o - 78. Let d = o + -22. Calculate the remainder when d is divided by 21.
18
Let l = 14480 + -14405. Calculate the remainder when 79 is divided by l.
4
Suppose 5*j - 2*j = -5*n + 263, -5*j + 3*n + 495 = 0. What is the remainder when 247 is divided by j?
55
Let o(l) = 37*l - 54. Let b be o(6). Suppose -2*z + b = -2. What is the remainder when z is divided by 37?
11
Suppose -q + 26 = -58. Suppose -4*m + q + 56 = 0. Calculate the remainder when ((-8)/(-16))/((-3)/(-822)) is divided by m.
32
Let r = -18806 - -18894. Calculate the remainder when 11087 is divided by r.
87
Suppose -3*p - 5*m = -1229, -2*m = 12*p - 10*p - 822. Calculate the remainder when p is divided by 35.
28
Let c(a) = 2*a**3 - 72*a**2 - 96*a + 847. Calculate the remainder when 37 is divided by c(37).
4
Let k(f) = f**3 - 192*f**2 + 182*f + 1865. Calculate the remainder when 972 is divided by k(191).
96
Let t(y) = 19*y + 150. Let k(b) = -b**2 + 19*b - 41. Let o be k(2). Calculate the remainder when 46 is divided by t(o).
12
Suppose -45 = -4*u + 2*k + 21, 1 = -k. Suppose -8*x = -2*x - 30. Let i(s) = -s**3 + 6*s**2 - s - 14. What is the remainder when u is divided by i(x)?
4
Let p(j) = -3*j**3 + 194*j**2 + 4*j + 4049. Suppose -2*o - 3*o + 235 = 0. Calculate the remainder when p(65) is divided by o.
37
Suppose -5*k - 7*k + 1080 = 0. Let w(v) = 2*v**2 + 3*v - 2. Calculate the remainder when k is divided by w(2).
6
Let s(l) = l**3 + 12*l**2 + 7*l - 23. Let r be s(-11). Suppose r*q + 35 = 26*q. What is the remainder when 19 is divided by q?
5
Let r(c) = -177*c**3 + 2*c**2 + 9*c + 20. Calculate the remainder when r(-2) is divided by 12.
10
Let g be 3*(0 + 3 + -4)/(-1). Suppose -5*p = -2*r + 633, 5*r - g*p + 342 = 1896. Calculate the remainder when r is divided by 31.
30
Suppose -5*v - 38*q + 1195 = -43*q, -4*q = 0. What is the remainder when v is divided by 61?
56
Let c be 4*2/40 - (-38)/10. Suppose c*o = -0*o. Let x(n) = n**2 + n + 12. What is the remainder when 45 is divided by x(o)?
9
Suppose 0 = 4*y - 5*d - 62, 0 = 3*y - 3*d - 2*d - 39. What is the remainder when y is divided by 15?
8
Suppose 5*t - 5*j = 745, -2*t + 5*j = 9*j - 298. What is the remainder when 390 is divided by t?
92
Let c = -152 + 154. Suppose -2*g - 45 = -z, 0 = -c*z + z + 3*g + 48. What is the remainder when 272 is divided by z?
38
Suppose 7*k - 20 = -20. Suppose -28*g + 2761 - 941 = k. Calculate the remainder when 389 is divided by g.
64
Let u = 7 + -3. Suppose -2*d + 14 = 4*g, 5*g - d - 11 - 10 = 0. Calculate the remainder when 65 is divided by g + (-4 - u*-6).
17
Suppose m + 6*r - r - 1161 = 0, -1159 = -m - 3*r. Suppose 5*f = -2*l - 620 + 2042, m = 4*f - 3*l. Calculate the remainder when f is divided by 17.
14
Suppose -10 = -2*p - 0. Let x(z) = -3636 + 0*z + 3655 + p*z. Calculate the remainder when x(8) is divided by 10.
9
Let r = -128 - -172. Let k = r - 8. Calculate the remainder when k is divided by 8.
4
Let f(j) = 5*j**2 - j - 9. Let r(m) = 6*m**2 - 9. Let l(y) = -7*f(y) + 6*r(y). Suppose 55*n + 4*n = 885. Calculate the remainder when n is divided by l(-6).
0
Let i(h) = 3*h**2 + 8*h - 41. Let d be i(-7). What is the remainder when 957 is divided by 2/(((-55)/d)/(-11))?
17
Let s be 3352/(-40) + 12/15. Let h(b) = b**3 + 5*b**2 - 33*b + 25. Let n be h(-8). Let p = s + n. What is the remainder when 96 is divided by p?
12
Suppose -2210 = -30*u + 13*u + 12*u. Calculate the remainder when 890 is divided by u.
6
What is the remainder when 47400/55 + 3 + -3 + (-105)/(-33) is divided by 32?
1
Suppose 0 = -174*k + v + 57765, -75*k + 1337 = -71*k + 3*v. Suppose -4*m - 30 = -5*m - 3*s, 62 = m - 5*s. What is the remainder when k is divided by m?
38
Let q(a) = 2*a**3 - 11*a**2 + 9*a - 73. Calculate the remainder when 691 is divided by q(6).
11
Suppose 32 + 52 = g. Suppose 10*i = 6*i + g. Let j = 5 + i. Calculate the remainder when 129 is divided by j.
25
Suppose -187*t = -186*t - h - 848, h + 1697 = 2*t. Calculate the remainder when t is divided by 1.
0
Let x(j) = -j**3 - 12*j**2 - 14*j - 6. Let b(u) = u**2 + 66 - u**2 + 4*u**2 - 74 + u**3 - 8*u. Calculate the remainder when x(-11) is divided by b(-5).
6
Let f(k) = -13*k - 88. Let x be f(-7). Suppose 4 = 2*m - 5*z - 12, x*m + 4*z - 24 = 0. What is the remainder when 25 is divided by m?
1
Suppose 20*y + 48*y - 3604 = 0. What is the remainder when 188 is divided by y?
29
Let w(u) = -u**3 - 33*u**2 - 2*u - 45. Let v(f) = -2*f**3 + 5*f**2 + 21*f - 16. What is the remainder when w(-33) is divided by v(4)?
1
Let v(n) = n**3 + 8*n**2 + 8*n + 7. Let u be v(-6). Suppose -3*d = u - 10. What is the remainder when 124 is divided by d + 28 - (1 - 5)?
24
Let n = -953 - -972. Suppose -2*l = 24*m - n*m - 237, -4*l = -2*m - 510. What is the remainder when l is divided by 39?
9
Suppose 2*r - 19 = -5*y, 5*r - 3*y - 13 = -4*y. Suppose -r*o + 39 - 19 = 0. Calculate the remainder when 219 is divided by o.
9
Suppose -106 = -2*w - 82. Suppose 0 = w*u - 0 - 84. What is the remainder when 20 is divided by u?
6
Let i(c) = 9*c - 19. Let s = 90 - 43. Suppose -48*t + 8 = -s*t. Calculate the remainder when i(t) is divided by 14.
11
Suppose 2*z = -8*v + 12*v - 98, -z + 1 = 0. What is the remainder when 4019 is divided by v?
19
Suppose 5*j = l - 24, -3*l + 14 = 2*j - 7. Calculate the remainder when 42 is divided by (-15)/(-135) + (125/l - -2).
10
Let m be 5*(84/(-30) - -4). Calculate the remainder when m*(-8)/(-36) + (-1280)/(-30) is divided by 23.
21
Let q(m) = -3526*m - 1923. Calculate the remainder when q(-6) is divided by 163.
162
Let t(j) = -7*j + 10. Let w be t(-1). Suppose w*v = 16*v + 3. Suppose -g + s - 117 = -v*g, 9 = 3*s. What is the remainder when g is divided by 12?
9
What is the remainder when 528/5016 + 7484/19 is divided by 25?
19
Let s = 1040 + -987. What is the remainder when 221 is divided by s?
9
Calculate the remainder when (8/(-2))/((3/2)/((-26271)/126)) is divided by 50.
6
Suppose 0 = -4*a - 2*i + 3952, 2*a = 4*i + 2018 - 52. Calculate th