2
Suppose 527 = 5*a - 588. What is the remainder when a is divided by 110?
3
Let y(l) = 3*l**2 - l + 2. Let a(q) = -2*q**3 - 21*q**2 - 40*q - 3. Let t be a(-8). Calculate the remainder when t/16*4 - (-502)/8 is divided by y(-3).
30
Let q(h) = 17*h - 147. Let s be q(9). Suppose -152 = -s*d + 172. Suppose y - 39 = 5*a, 2*y - 47 = -y + a. Calculate the remainder when d is divided by y.
12
Suppose -2*i - x = -4339, -5*x + 4840 - 497 = 2*i. What is the remainder when i is divided by 62?
61
Let h(r) = 5*r**2 + 13 - 12 - 4*r**2 + 16 + 22*r. Let i(q) = q**2 - 10*q - 6. Let u be i(8). What is the remainder when 30 is divided by h(u)?
13
Let q be (-1)/(-5) - 8036/(-70). Suppose 0 = 3*j - q - 272. Let f = j + -120. What is the remainder when 69 is divided by f?
6
Suppose -1685 - 2823 = -49*v. What is the remainder when v is divided by 19?
16
Let q = -207 - -209. Suppose q*p + 2664 = 26*p. What is the remainder when p is divided by 19?
16
Suppose 3*y - 31 - 74 = 0. Let b(f) = f**3 - 22*f**2 + f - 10. Suppose 5*h = -h + 132. What is the remainder when y is divided by b(h)?
11
Suppose -40*d - 61*d + 2656300 = 0. What is the remainder when d is divided by 192?
188
Let p(b) = b**2 + 2*b - 3. What is the remainder when (96/20)/(126/(-35) - -4) is divided by p(2)?
2
Suppose 0 = c - 46 - 65. Suppose -261*o = -234*o - 1458. Suppose -5*t + c = -o. Calculate the remainder when 98 is divided by t.
32
Let n = -11 + 28. Suppose 4 = 15*x - n*x. What is the remainder when 4/(1/((-59)/x)) is divided by 30?
28
Suppose -176 = -3*w - 4*h, -h = 5*w - 3*h - 328. Suppose 3*c = -c + w. Suppose -14*n = -173 - 457. Calculate the remainder when n is divided by c.
13
Suppose 3*r = 10*r - 511. Calculate the remainder when r is divided by 43.
30
Suppose -4*i - 484 + 546 = -2*v, -3*i + 4*v = -49. Calculate the remainder when 142 is divided by i.
7
Suppose -3286*p = -3278*p + 2256. Let a = 132 - p. Calculate the remainder when a is divided by 16.
14
Suppose 0 = -22*x + 19*x + 18. Suppose x*u - 9*u = -12. What is the remainder when 17 is divided by u?
1
Suppose 14*a - 6 + 6 = 0. Let h(l) = -l**2 + 4*l + 21. What is the remainder when 60 is divided by h(a)?
18
Suppose 61*z = 114*z - 3233. What is the remainder when 236 is divided by z?
53
Suppose n + 4091 = -5*p, 4*p - 9*n + 3272 = -10*n. Let c = p - -1097. What is the remainder when c is divided by 56?
54
Suppose 0 = -3*r + 3*k + 1836, -4*r + 1341*k + 2424 = 1343*k. Calculate the remainder when r is divided by 298.
12
Let n = 474 - 412. Calculate the remainder when 932 is divided by (n/124)/(2/416).
100
Suppose -3*p - 2*w = -160, 0 = -5*p - 7*w - 0*w + 263. Calculate the remainder when 969 is divided by p.
51
Let p = 646 + -600. Calculate the remainder when 263 is divided by 115/p*(-1 - 111/(-5)).
51
Let v(a) = -868*a + 4633. Calculate the remainder when v(5) is divided by 106.
81
Let h(f) = 4*f + 55. Let t(d) = 8*d + 112. Let j(a) = -5*h(a) + 2*t(a). Calculate the remainder when 38 is divided by j(-16).
12
Let s be 157 + (3 + -7)/4. Suppose 3*z = -4*r + s, r - 3 = -2*z + 31. What is the remainder when r is divided by 26?
16
Suppose 0 = -5*l + w + 4271, 4*w - 285 = -3*l + 2250. Calculate the remainder when l is divided by 179.
137
Let u be 578 + 1 + 1 + -7. Let w = u + -566. Calculate the remainder when 404 is divided by w.
5
Let a(v) = -v**2 + 509*v - 4000. What is the remainder when 60 is divided by a(8)?
4
Suppose 18*u - 1776 - 3711 = 1497. What is the remainder when u is divided by 30?
28
Let c(h) be the first derivative of -h**4/4 - 4*h**3 + 29*h**2/2 + 16*h - 30. Calculate the remainder when c(-14) is divided by 1.
0
Suppose 0 = -3*n - 3*d + 537, -2*d = -4*n + 857 - 171. Let r = 134 + -112. What is the remainder when n is divided by r?
20
Suppose -3*k + 3 = 0, 8*k - 29 = -5*g + 4*k. Calculate the remainder when 111 is divided by g.
1
Let o be (2 - (2 + -4)) + 15. Suppose 6 = 5*i - o. Let z = 1414 + -1407. What is the remainder when z is divided by i?
2
Let b(u) = 5*u + 6*u**2 + 4 + u + 0*u**2. Let s = -27893 + 27913. What is the remainder when b(-4) is divided by s?
16
Suppose -148*r + 3*f + 1063 = -143*r, 0 = -r - 3*f + 191. Calculate the remainder when 429 is divided by r.
11
Suppose 20 = 4*n - 0*n, -5*x = 5*n + 40. Let j = x - -15. What is the remainder when (1 - j) + 216/4 is divided by 14?
11
Let k = -48 - -65. Let v(w) be the third derivative of -w**6/120 + 3*w**5/10 - 13*w**4/24 - w**3 + 9*w**2. What is the remainder when v(k) is divided by 33?
29
Let b(h) = 40*h + 9*h**3 + 12 - 8*h**3 + 22*h**2 + 1. Let j be (-34 - 4)/2 - 1. What is the remainder when 64 is divided by b(j)?
12
Suppose -231 + 252 = 3*u. Calculate the remainder when ((-6)/15 + 2)/(22/1045) is divided by u.
6
Suppose -17*i + 834 = 698. What is the remainder when 606 is divided by i?
6
Let d be (-4)/(-10) + (-2576)/(-10). Let n = d + -90. Let j = 6906 - 6887. Calculate the remainder when n is divided by j.
16
Suppose -4*m = 2*n - 14, 0 = -3*m - 6*n + 2*n - 2. Suppose m*b = 30*b - 360. What is the remainder when b is divided by 3?
0
Let u = -65 - -56. Let p(j) = -j**3 - 5*j**2 + 14*j - 9. Let i(g) = -5*g**3 + 2*g + 2. Calculate the remainder when p(u) is divided by i(-2).
37
What is the remainder when 187 is divided by (-8)/(-96)*-2 - (-10)/(-24)*-394?
23
Suppose -14*m + 4815 + 171968 = 28705. Calculate the remainder when m is divided by 73.
65
Suppose 1 = d - 1. Suppose 271 = 67*f - 42 - 22. Calculate the remainder when f is divided by d.
1
Let r(m) = 212*m - 214. Let g be r(1). Suppose 47 = 5*a - 53. What is the remainder when ((-1140)/50)/((-46)/a - g) is divided by 21?
13
Let s(u) = -17*u + 87. Let r be s(-4). Suppose r = -10*f + 565. What is the remainder when 153 is divided by f?
30
Suppose g + 3*l = 6*l + 12, -3*g - 3*l = -36. Suppose g*v - 263 = -1439. Let u = 119 + v. Calculate the remainder when 60 is divided by u.
18
Let i(l) = 2*l**2 + 239*l + 285. Calculate the remainder when 335 is divided by i(-119).
3
Let p = 6527 + -12494. Calculate the remainder when (2/3)/((-26)/p) is divided by 39.
36
Suppose -25*p = -153165 - 45185. What is the remainder when p is divided by 23?
22
Let o = -10151 - -10218. Calculate the remainder when 932 is divided by o.
61
Let l(g) = -10*g**2. Let u be l(-2). Let v be (-1625)/26 + 6/4. Let z = u - v. Calculate the remainder when 31 is divided by z.
10
Let s = 28 - 13. Calculate the remainder when ((-40)/170)/2 + (-3884)/(-68) is divided by s.
12
Let v = -448 - -450. Let n = 52 - 3. Suppose -v*s = m - 7, -3*m - s = -6*m + n. What is the remainder when 56 is divided by m?
11
Let q(w) = -w**3 + 10*w**2 + 35*w + 116. Calculate the remainder when 1244 is divided by q(12).
4
Suppose -4*w + 7*w - 9 = 0. Suppose -2*c - 59 = -5*g, 0 = 3*g - w*c - 2 - 37. What is the remainder when (12/(-5))/(g/(-110)) is divided by 5?
4
Suppose 0 = 12*h - 2315 + 623. What is the remainder when 312 is divided by h?
30
Let l(a) = 2*a**3 - 7*a**2 + 53*a - 177. What is the remainder when 3208 is divided by l(4)?
46
Calculate the remainder when (-11 - (-92)/8)/(2/8140) is divided by 20.
15
Let l = -81 - -116. Let y be (20/(-6))/(5/(-45)*6). Let i(r) = 7*r - 26. What is the remainder when l is divided by i(y)?
8
Let c be (14 + 6)*(6 - (-58)/(-10)). Suppose 18 = -o - c*m + 46, -3*m = -3. Let q(u) = 117*u + 1. Calculate the remainder when q(1) is divided by o.
22
Suppose 2*f - 213 + 199 = 0. Suppose -f*s = -12*s - 2*v + 240, 2*s = 5*v + 67. Calculate the remainder when s is divided by 27.
19
Let h = -316 + 469. Suppose -h = 3*b + 5*o - 586, b - 111 = 5*o. Calculate the remainder when b is divided by 67.
2
Let v be (-63)/(-36) + (-3)/(-12). Suppose 0 = -3*k - 5*z - 37, 3*z = v*k + 2*z + 42. Calculate the remainder when ((-62)/10)/(k/95) is divided by 11.
9
Suppose 23*u = 91 + 76 + 86. Let k = -10 - -28. Calculate the remainder when k is divided by u.
7
Suppose -4 - 20 = -4*q. Suppose 3*c + 156 = q*c. Suppose 4*d - 76 = 3*y, d + 3*d = -5*y + 76. What is the remainder when c is divided by d?
14
Let h be 79*3*(-13)/(-39). Let v = 73 - h. What is the remainder when 88 is divided by (81/v)/(-9)*6?
7
Suppose -4*d - 2*p - 12 - 4 = 0, 4*p + 8 = 0. Let x(n) = -19*n**3 + 3*n**2 - 3*n. What is the remainder when x(d) is divided by 24?
21
Let h be 9*(0/(-3) - 8).