Suppose -n + 2 = -f. Suppose z + 0*z - f*t + 5 = 0, -5*z = t - 7. Calculate the remainder when 4 is divided by z.
0
Suppose -4*q + w = -q - 141, -3*q - 4*w = -141. Let c be (-4)/((-40)/995) - (-1)/(-2). Let l = 105 - c. What is the remainder when q is divided by l?
5
Suppose 32*l + 19*l + 51*l = 111588. What is the remainder when l is divided by 39?
2
Let v(x) = 2*x - 4. What is the remainder when (24 - 21)*3*38/6 is divided by v(8)?
9
Suppose 217*s - 80*s - 38771 = 0. Calculate the remainder when s is divided by 72.
67
Let l = -8110 - -19179. Calculate the remainder when l is divided by 173.
170
Let q be 2/6 + 20/(-21)*-7. Suppose 0 = -5*i + 4*c + 115, -2*c = 9*i - q*i - 28. Calculate the remainder when 27 is divided by i.
8
Suppose -71*m = -69*m - 8. Suppose -m*w + 2*w - 12 = -2*n, -3*n = 4*w + 17. What is the remainder when n - 4 - (-256)/8 is divided by 8?
5
Let m = 327 - 295. Let l = -421 + 513. Calculate the remainder when l is divided by m.
28
Let z = 8132 - 8104. What is the remainder when 340 is divided by z?
4
Let w(l) = l**2 + 87*l - 750. What is the remainder when w(9) is divided by (3/6)/(3/138)?
22
Calculate the remainder when 213 is divided by 4*(7/21 + (-34)/(-24)).
3
Suppose -3*p - x = -205, -18*x = -14*x + 8. What is the remainder when 260 is divided by p?
53
Let d = 13225 - 11409. Calculate the remainder when d is divided by 35.
31
Suppose 2*u + 6 = 5*u. Suppose -w = u*w. Suppose 6*b - 150 - 390 = w. What is the remainder when b is divided by 23?
21
Let a = 15 + -15. Suppose a = t + 7 - 3. Calculate the remainder when t/3*-3 - -31 is divided by 19.
16
Suppose 2*u + 91*u - 10701 = 6*u. Calculate the remainder when u is divided by 426/12 - 1/2.
18
What is the remainder when (-1 - (-10 - -7))/((-23538)/(-7842) + -3) is divided by 262?
259
Suppose -11*y = -62 + 40. Suppose -4*t - 4*j = -200, -36 = -y*j - 30. Calculate the remainder when t is divided by 18.
11
Let q(r) = -122*r + 3431. Calculate the remainder when 610 is divided by q(28).
10
Let u be (6 + -1)*34/85. Let c = -46 + 71. Calculate the remainder when c is divided by u*(138/36 - 4/(-6)).
7
Let i = -76 - -129. Let f(h) = -2*h + 4. Let s be f(0). Let p(g) = 5*g - 9. Calculate the remainder when i is divided by p(s).
9
Suppose 0 + 11 = 2*m + d, 4*d = 3*m. Suppose -397 = -m*i - 117. Calculate the remainder when i is divided by 31.
8
Suppose 32*o - 3978 = 11798. Calculate the remainder when o is divided by 78.
25
Let i(z) = z**2 - 7*z - 4. Let a be i(6). Let s be (-88)/(-66) + a/(-6). Suppose -3*w = s*w - 120. Calculate the remainder when w is divided by 12.
8
Suppose 5*c - 5*y - 25 = 0, -4*c - 4*y + y + 20 = 0. Let m(w) = -w**3 + 5*w**2 + 3*w - 2. What is the remainder when ((-8)/40)/((-4)/1220) is divided by m(c)?
9
What is the remainder when 3501 is divided by 3 - (42/(-8))/((-36)/(-480))?
70
Suppose 0 = -6*m + 494 - 296. Suppose 0 = 2*l, -m = -3*u - 4*l + 48. Let t = 12 + -1. What is the remainder when u is divided by t?
5
Calculate the remainder when (1209 - 4) + (-24 - -11) is divided by 394.
10
Suppose 9467*i - 2478 = 9464*i. What is the remainder when i is divided by 53?
31
Let c = -67 - -73. What is the remainder when 165 is divided by c + (-1 - 1) - (-240)/10?
25
Suppose 3*u + 183 = f, -4 = -u + 1. Suppose 2300 - 1676 = -69*j + 5109. Calculate the remainder when f is divided by j.
3
Let y(t) = 4*t**2 + 47*t + 272. Calculate the remainder when 1022 is divided by y(-9).
157
Suppose -3*n - 2*h + 315 = 0, 2*h + 299 + 52 = 3*n. What is the remainder when 247 is divided by n?
25
Let t(a) = 3 - 10*a + 108*a**2 + 105*a**2 - 210*a**2 + 4. What is the remainder when t(-4) is divided by (-192)/(-14) + (-8)/(-28)?
11
Suppose 533*l + 781 = 271*l + 273*l. Let q(j) = j - 2. Let a be q(3). Calculate the remainder when l is divided by -5*(-1 - a) + 2.
11
Let s = 72879 + -51434. What is the remainder when s is divided by 28?
25
Suppose 0 = 588*c - 614*c + 3068. Calculate the remainder when 166 is divided by c.
48
Let m(v) = -3*v**2 - 96*v - 4. Let c(t) = -t + 3. Let x(o) = c(o) - m(o). What is the remainder when 227 is divided by x(-32)?
32
Let r(j) = -9*j - 6. Let g(v) = -9*v - 6. Let y(k) = 3*g(k) - 2*r(k). Let m be y(-3). What is the remainder when 39 is divided by 2/7 + 309/m?
9
Let b = -1091 - -1760. Calculate the remainder when b is divided by 48.
45
Suppose 5*h + 535 = 4*s - 1627, -2694 = -5*s + 2*h. Calculate the remainder when s is divided by 30.
28
Let f = 2075 + -1894. What is the remainder when f is divided by 37?
33
Suppose 5*r = 2*i + 4*r - 16, 3*i = 2*r + 22. Let v be (280 - -5)*4*2/20. Let y = -110 + v. What is the remainder when i is divided by y?
2
Suppose 9*s - 171 = 279. Calculate the remainder when 2357 is divided by s.
7
Suppose s = 567 + 144. Suppose -268 = -g - 247. Calculate the remainder when s is divided by g.
18
Suppose 74*l + 21*l + 3916 = 22251. What is the remainder when 775 is divided by l?
3
Let b = -443 + 437. Let l(c) = 16*c + 144. Calculate the remainder when l(b) is divided by 2/(-8) - (-138)/8.
14
Suppose -m = 3*j - 65, 122 = -2*m - j + 187. Suppose -u + 75 = -22. What is the remainder when u is divided by m?
19
Let n(d) = -4*d + 66. Let f = -3669 + 3777. What is the remainder when f is divided by n(13)?
10
Let l(o) = -21*o - 53. Let i be l(10). Let n = i - -294. What is the remainder when 152 is divided by n?
28
Let x(a) = 12*a**2 - 17*a - 1. What is the remainder when 2051 is divided by x(-1)?
7
Suppose 1180*x = 1182*x - 348. What is the remainder when x is divided by 29?
0
Suppose 0*h + 50 = 5*h. Suppose -o - 6 = -h. Calculate the remainder when 67 is divided by 10 + (10 - 2 - o).
11
Suppose -103*x + 148*x - 816570 = 0. Calculate the remainder when x is divided by 165.
161
Let v = 11975 - 11957. Let u = -190 + 299. Suppose 16 = l - u. What is the remainder when l is divided by v?
17
Let i(r) = r**2 - 33*r + 76. What is the remainder when 462 is divided by i(35)?
24
Suppose -5*x = -a - 7, 9*a - 4*a = -4*x - 6. What is the remainder when -4*(0 + x)*1955/(-230) is divided by ((-4)/5)/((-2)/45)?
16
Let k = 61 + -52. Let x = -9 + k. Suppose x = -24*v + 15*v + 225. Calculate the remainder when 198 is divided by v.
23
Let t(c) = 5*c - 24. Let h be t(6). Suppose 2*n - n = -4*v + 36, 3*v - h = 0. What is the remainder when 164 is divided by n?
24
Let f(p) = 3*p**3 + 23*p**2 - 8*p + 11. Let a = 637 - 644. Calculate the remainder when f(a) is divided by 35.
25
Let b = -6 + 121. What is the remainder when b is divided by ((-4539)/2403 + 2/(-18))*(-39)/2?
37
Suppose 660 = -5*r - 2*a - 3*a, -8 = 4*a. Let b = r - -189. Calculate the remainder when 176 is divided by b.
58
Let s = -4514 - -4497. Let h = -25 + 75. Let p = h - s. What is the remainder when p is divided by 17?
16
Let x = 71 - -111. Calculate the remainder when 7084/x + (-1)/(-13) is divided by 33.
6
Suppose -225*d = -53*d - 18060. Calculate the remainder when d is divided by 21.
0
Suppose -4*p - r = -52 + 16, 4*r + 36 = 4*p. Suppose 2*m - 7*c - 190 = -9*c, 4*c - 469 = -5*m. What is the remainder when m is divided by p?
8
Let r(t) = t**2 + 7*t + 10. Let s be r(-5). Let u(q) = -q**2 + 34. Let l = 1315 + -1309. Calculate the remainder when u(s) is divided by l.
4
Suppose 4 = -i - 4*a, -4*i - 3*a + 1 = 17. What is the remainder when (-60)/(-10) - 2*i is divided by 5?
4
Suppose -1205 = -4*t + 3*v + 1775, t - 5*v - 762 = 0. What is the remainder when 1488 is divided by t?
4
Let v(f) be the third derivative of 0 + 1/24*f**4 + 1/3*f**3 + 1/10*f**5 - 11*f**2 + 0*f. What is the remainder when 26 is divided by v(-1)?
5
Calculate the remainder when 147 is divided by 43/((-215)/(-242)) - (-2)/(-5).
3
Suppose 4*x = -c - c + 450, -3*x + 333 = -3*c. Suppose -2*u - x = 2*p, -3*u + 4*p = 44 + 145. Let b = u + 63. What is the remainder when 17 is divided by b?
1
Let s = -8115 - -8367. What is the remainder when s is divided by 36?
0
What is the remainder when 104 is divided by (36 - 21)*5/3?
4
Suppose 11*v - 2151 = -230 + 1522. Calculate the remainder when 5631 is divided by v.
310
Let m be (1 - 1/5)/((-4)/(-10)). Suppose 2*g + 110 = k, -5*k + m*g - g = -550. Let b = k + -53. Calculate the remainder when b is divided by 21.
15
What is the remainder when 9961 is divided by ((-78869)/(-63) - 7) + (-8)/(-72)?
1