when ((-18065)/30)/((-70)/1652) - (-4)/(-30) is divided by 20?
11
What is the remainder when 302 is divided by (-3)/(-9*(-9)/54*(-4)/76)?
36
Let a(k) = k**3 - 10*k**2 - 22*k - 34. Let y be a(12). What is the remainder when 22 is divided by ((-26)/y + -5)/((-8)/20)?
4
Suppose 7*t - 20 = 3*t. Suppose 2*w - 2*g - 274 = 0, 4*w = 2*w - t*g + 309. Suppose 55*i - 1200 = 5*i. Calculate the remainder when w is divided by i.
22
Let c(a) = 4*a - 152. Let u be c(39). Suppose -h = 4*n - 64, h - 68 = -u*n - n. Calculate the remainder when 238 is divided by h.
46
Let v = 2 + 2. Suppose 0*r - 4*r = v*h - 284, h - 79 = r. Let k(z) = -3356*z - 16754. Calculate the remainder when h is divided by k(-5).
23
Let g = -3862 + 3948. What is the remainder when g is divided by 52?
34
Suppose -15611*t + 15603*t = -144. What is the remainder when 1724 is divided by t?
14
Let s = 144 - -8. What is the remainder when 763 is divided by s?
3
Let c be (-171)/(-36) - (-3)/(-4). Let h be (4/c + -2)*(-1 - 2). Calculate the remainder when 69 is divided by h + -2 + -5 + (-14)/(-1).
9
Let t = 11058 + -11030. Calculate the remainder when 2630 is divided by t.
26
Let d = 4540 + -4520. Calculate the remainder when 375 is divided by d.
15
Let o = -19875 + 19941. Calculate the remainder when 405 is divided by o.
9
Suppose 216 = -3*p + b + 2077, -2*p = -3*b - 1236. Calculate the remainder when p is divided by 30.
21
Let g be 95/(-30)*2*-3. What is the remainder when (15/2)/3*20 is divided by 2 + g + (-36)/9?
16
Suppose 7*t - 63 = -28. Let s = -29 - -36. Suppose s*h - 2*h = c - 19, -3*c - t*h = -97. What is the remainder when c is divided by 6?
5
Let b(w) = 83*w - 2878. Calculate the remainder when 391 is divided by b(35).
13
Let n = 27 - 20. Suppose 2*b + 0*l = l + n, -4*b + 4*l + 20 = 0. Calculate the remainder when 16 is divided by b.
0
Suppose -17*t + 2*m = -22*t + 790, 0 = -3*t + 4*m + 448. What is the remainder when 306 is divided by t?
150
Suppose x = 2*w + 145, 0 = 4*x - 3*x - w - 143. Suppose 3*n + x - 111 = 0. Calculate the remainder when 21 is divided by -4*(-2)/n - 256/(-20).
9
Suppose -5*f - 43 + 83 = 0. Let u(d) = -45*d**3 + 3*d + 3. Let z = -35 - -34. Calculate the remainder when u(z) is divided by f.
5
What is the remainder when (578/(-102))/(1/(-15)) is divided by (33/(-2))/((-6)/8)?
19
Suppose -5*y + 150 = -2320. Suppose -13*j + 2626 = -y. What is the remainder when j is divided by 27?
24
Let o = 2952 - 2868. What is the remainder when 148 is divided by o?
64
Let v(x) = 3*x**2 - 12*x - 13. Calculate the remainder when 190 is divided by v(-3).
40
Let z = -6 + 17. Suppose -9*t - 50 = -z*t. Let n = -131 + 138. Calculate the remainder when t is divided by n.
4
Suppose -11 = -2*l + z + 4, -10 = -l - 2*z. Calculate the remainder when 0 + (-21 - 4) + 133 is divided by l.
4
Let n be (-3)/(-2) + (-6370)/28. Let q = n + 265. Let x = 24 - 4. What is the remainder when q is divided by x?
19
Calculate the remainder when 1575/(4 + 11) + 14 is divided by 19.
5
Let l = 66 - 4. Let t = 62 - 30. Calculate the remainder when l is divided by -3 + (t - 5) - 3.
20
Suppose -54579 = -331*c + 78*c - 86*c. Calculate the remainder when 211 is divided by c.
50
Let y = -536 + 832. Suppose -2*a = 6*a + y. Let c = a + 61. Calculate the remainder when c is divided by 14.
10
Suppose -2*p + 119 = -111. Let c be 81 - ((-21)/6 + (-5)/(-10)). Suppose -5*j + 61 = -c. Calculate the remainder when p is divided by j.
28
Suppose 0 = 5*t + 18 - 168. Let v(z) be the third derivative of 89*z**5/60 - 7*z**4/24 + 2*z**3/3 + 24*z**2. What is the remainder when v(1) is divided by t?
26
Let t be (-2 - -6)/((-6)/(-309)). Suppose 53 = -2*d - 237. Let v = d + t. Calculate the remainder when v is divided by 21.
19
Let s = 68 + -39. Let q(o) = 1534*o + 21583. What is the remainder when q(-14) is divided by s?
20
What is the remainder when -7*(3/(-8) - (-18796)/(-224)) is divided by 123?
98
Calculate the remainder when 1119 - ((-17)/34)/(3/(-54)) is divided by 262.
62
Let i be (-12)/(-9)*21/(-14) - -15. Suppose -i*v - 1 = -7567. What is the remainder when v is divided by 65?
62
Let k(s) = -4*s - 404. Let x be k(0). Let p = 445 + x. What is the remainder when 860 is divided by p?
40
Let y be (-11)/(-77) + 1931/7. Suppose -3*b = b - y. Calculate the remainder when b is divided by 6/(-42) - (-129)/21.
3
Let v = -12 - -4. Let m(y) be the second derivative of y**5/10 + 4*y**4/3 - y**3 - 7*y**2 - 1180*y. Calculate the remainder when 132 is divided by m(v).
30
Suppose 10 = r + 4*r - 5*c, -11 = -3*r + 2*c. Suppose -3*t - 56 = -r*t. Let o(n) = -2*n + 41. Calculate the remainder when 32 is divided by o(t).
6
What is the remainder when 422 is divided by 4/(-8)*(-10)/20*632?
106
Suppose 0 = -4*s + 3*j - 269, -5*s = 4*j + 309 + 4. Let k = s + 94. Calculate the remainder when k is divided by (1 - 2 - 0) + 21 + 2.
7
Suppose -17 = -3*c + 1. Suppose 131 = 16*v - 46 - 127. What is the remainder when v is divided by c?
1
Let d(s) = 493*s**2 + 975*s + 1. Calculate the remainder when 221 is divided by d(-2).
14
Let g(y) = 18*y**2 + 537*y + 75. Calculate the remainder when 284 is divided by g(-30).
119
Let w be (1/(-4)*-2)/(3/888). Suppose 0 = 2*m - w - 24. Let r = m - 8. Calculate the remainder when r is divided by 20.
18
Suppose -2*l = -6*l + 268. Suppose -3*r - 569 = -4*k, 328 = 2*k - 2*r + 44. Suppose -k = -15*z + 112. What is the remainder when l is divided by z?
16
Let d(g) = g**3 - 13*g**2 - 7*g - 153. What is the remainder when d(16) is divided by 36?
35
Suppose 0 = v - 4*m - 72, 4*v + 5*m - 267 = 63. What is the remainder when v is divided by 0*(3 + -2) - -22*1?
14
Let h(i) = i + 16. Suppose 3*q - 3*x = 366, -q - 3*x + 120 + 10 = 0. What is the remainder when q is divided by h(-7)?
7
Suppose z - 26 = 3*l, -2*z - 2*z + 144 = -2*l. Calculate the remainder when (-40)/15*(-51)/(-34) - -117 is divided by z.
37
Let v(c) = 32*c + 179. Let l be v(11). Suppose -17*o + 387 = -l. Calculate the remainder when 104 is divided by o.
50
Let l be 264/60 + 2/(-5). Suppose l*i = 6*i - 190. What is the remainder when i is divided by 30/(-120) - (-97)/4?
23
Let s(n) = -2*n**3 + n**2 - 2*n - 1. Let v be s(-3). Let b = -37 + v. Let k = 56 - 39. Calculate the remainder when b is divided by k.
14
Suppose -x - 5*s = -5, x + 1559*s = 1563*s + 5. What is the remainder when 226/6 + 1/3 is divided by x?
3
Let x(a) = 60*a + 3. Let v be x(1). Suppose -24*r + 423 = v. What is the remainder when 18 is divided by r?
3
Suppose -10*a = 5*a - 105. Suppose 0 = -a*p + 2*p - 4*r + 161, -p = -r - 34. Calculate the remainder when 120 is divided by p.
21
Let w be 6/(-48)*-8*5. Suppose 0 = 3*c + 4*x - 19, w*c + 7 = -4*x + 44. Calculate the remainder when 15 is divided by c.
6
Let k(b) = 14*b + 100. Let o be k(-7). Suppose 0 = -g + o*c + 40, 14*g - 9*g - 5*c - 210 = 0. Calculate the remainder when 86 is divided by g.
42
Let t = 401 - 377. Suppose -t*b - 1841 = -31*b. Calculate the remainder when b is divided by 24.
23
Suppose -21*n - 99*n - 169*n = -21386. Let t(m) = 6*m**2 - 3*m - 1. Let d be t(-2). Let a = d + n. What is the remainder when a is divided by 28?
19
Let g = -23 + 50. Suppose -21*k - d = -18*k - 617, -21*d = 4*k - 685. What is the remainder when k is divided by g?
19
Calculate the remainder when 80 is divided by 10 + -1 - (-82)/41.
3
Calculate the remainder when 3891 is divided by 37597/861 + (-2)/3.
21
Let t(h) = -h**3 - 4*h**2 - 5*h - 1. Let w = 6 - 8. Let c be t(w). What is the remainder when (6/5)/(c + (-256)/260) is divided by 41?
37
Calculate the remainder when (-36)/(-15)*70/4 is divided by 860/45 + (-440)/(-495).
2
Let g = 20 - 2. Suppose -2*l - 4*o + 7*o = -g, 32 = 4*l - 4*o. Calculate the remainder when (-92)/(-10) - (-2)/(-10) is divided by l.
3
Let y = 1328 - 860. Let b = 477 - y. What is the remainder when 475 is divided by b?
7
Let z(y) = 2*y**2 - y + 1. Let r be z(1). Let d be (5/6*r)/(2/42). Suppose -d*c + 28*c + 56 = 0. Calculate the remainder when c is divided by 3.
2
Let h(z) = z**2 - 10*z + 1. Let m be h(3). Calculate the remainder when 32 is divided by (-11 - m)*2/3.
2
Let p = -10942 - -11133. What is the remainder when p is divided by 39?
35
Suppose c + 4*t - 16 - 14 = 0, 4*c - 4*t = 0. Calculate the remainder when 293 is divided by c.
5
Let p(