Let g be s(-6). Suppose -2*f = g - 84. Calculate the remainder when (-15)/10*f/9*-20 is divided by 8.
4
Let n(q) = q**3 - 10*q**2 - 2*q + 1. Let l be n(15). Calculate the remainder when (-9)/7 + 1 - l/(-14) is divided by 20.
18
Suppose 0*u + 3*u = k + 146, -5*k = 3*u + 748. Let l = k - -315. Calculate the remainder when l is divided by 21.
19
Let n be 2 + 34 + -14 + 21. Suppose -k + x - 29 = -2*k, -2*k + n = -x. Calculate the remainder when k is divided by 8.
0
Let u(h) = 4*h**3 + 5*h**2 - 9*h + 95. Let b(c) = c**3 + c**2 - 2*c + 24. Let w(y) = 9*b(y) - 2*u(y). What is the remainder when 72 is divided by w(0)?
20
Suppose i - 84 = -4*v - i, -3*v + 49 = 5*i. Suppose -70 = v*o - 300. Calculate the remainder when 28 is divided by o.
8
Let w(q) = 637*q**2 + 11*q - 20. What is the remainder when w(2) is divided by 8?
6
Let r = 3880 - 3806. Calculate the remainder when r is divided by 8.
2
Let v be -2 + -1 - 0/(-27). What is the remainder when 43 is divided by (-4)/v*(-6)/4*-4?
3
Suppose -26 + 6 = -a + 5*v, -4*a + 4*v + 112 = 0. Calculate the remainder when 1048 is divided by a.
28
Let c(p) = -33*p - 40*p + 63*p + 7 + 6*p**2. Suppose -2*m = -k - 35, 3*m - 3*k = 50 + 7. Calculate the remainder when c(4) is divided by m.
15
Suppose -2*t + 3*q = -3*t + 14, -4*t + q + 56 = 0. Let m(a) = -3*a**2 + 81*a - 333. What is the remainder when m(11) is divided by t?
13
Let p(d) = 210*d + 8061. What is the remainder when 136 is divided by p(-38)?
55
Suppose -61408 = -1389*o + 1085*o. Calculate the remainder when 3639 is divided by o.
3
Suppose -2*f + 8*f - 18 = 0. Suppose f*u - 2*g = 282, -5*u + u + 5*g = -376. Calculate the remainder when u is divided by 2/(-11) + (-7174)/(-374).
18
Suppose 0 = -o + 3*d + 332, -44 - 635 = -2*o + 3*d. Let m = o + -341. Calculate the remainder when 29 is divided by m.
5
Let x(j) = 4*j**2 + 96*j + 21. Let u(i) = 6*i**2 + 144*i + 31. Let y(d) = -5*u(d) + 8*x(d). Let n = 45 - 32. What is the remainder when y(-25) is divided by n?
11
Suppose -309*m + 4431 - 414 = 0. What is the remainder when 272 is divided by m?
12
Suppose -4*p - 259 = -23*p + 672. What is the remainder when 412 is divided by p?
20
Suppose -20 = -4*x, h + 4*x - 7*x + 51 = 0. Calculate the remainder when 6 + h/((-3)/(-1)) - -45 is divided by 6.
3
Suppose 0*m - 118 = -3*l + 2*m, -5*l + m + 185 = 0. Suppose -6*z + l = -234. What is the remainder when 125 is divided by z?
35
Let s be 15/(-6)*12/(-10). Suppose 2*t + s - 54 = 3*n, -2*n + 126 = 4*t. What is the remainder when 477 is divided by t?
27
Suppose 4*v - 8*v + 2*s = -34, 2*v - 2*s = 12. Let u(a) = 25*a - 1. Let g be u(5). Suppose -2*y = 2*y - g. Calculate the remainder when y is divided by v.
9
Let m be (-61 - 1)/(134/(-4221)). What is the remainder when (-4 + 6)/(-4) - m/(-14) is divided by 26?
9
Suppose -27*s + 5825 = -973 + 561. What is the remainder when 692 is divided by s?
230
Let t = -18017 - -18064. Calculate the remainder when 2674 is divided by t.
42
Suppose -2*y - s = 2 + 3, -s - 3 = 0. Let r be (-120)/y*9/12. Calculate the remainder when 27 is divided by 56/42*r/8.
12
Let s = 8 - -21. Let v be (-12)/7*(-28)/8. Let f(h) = -h**3 + 6*h**2 + 5*h - 20. Calculate the remainder when s is divided by f(v).
9
Suppose 4*x = 39 - 11. What is the remainder when -13*(2/29 + 2790/(-2610)) is divided by x?
6
Suppose 4 = 17*n - 15*n. Suppose -n = -5*y + 13. Suppose -h + 13 = -y*m, -2*h + 3 + 23 = 5*m. What is the remainder when 18 is divided by h?
5
Let n = 747 + 86. Let i = n - 522. Suppose 4*v = -3*t + i, 2*v - 3*t - 129 = 4. Calculate the remainder when v is divided by 11.
8
Let q(c) = -39*c + 164. What is the remainder when q(-33) is divided by 33?
32
Calculate the remainder when (-10942)/(-11) - 10/((-220)/6) is divided by 111.
107
Let l be (-6)/14 + 31/7. Suppose -l*h + 22 = -0*n + 5*n, 3*n = 5*h - 9. What is the remainder when n is divided by 2 - (0/4)/(-8)?
0
Suppose 94457 = 56*h - 120303. Calculate the remainder when h is divided by 19.
16
Let n(i) = -18*i + 3. Let y be n(0). What is the remainder when (5 + 63/(-18))*106/y is divided by 28?
25
Suppose -395 + 227 = -7*t. Suppose 0 = 30*g + t*g - 4482. Suppose -x + 140 = 4*x. What is the remainder when g is divided by x?
27
Suppose 688*s = 682*s + 30. Suppose -s*l + 168 = 7*l. Calculate the remainder when 25 is divided by l.
11
Suppose 0 = -4*i + j + 100, -j + 84 = 156*i - 152*i. What is the remainder when 1919 is divided by i?
10
Suppose 2*n - 5 - 5 = 0. Let z be 0/1 + -2*(-23)/(-2). Let t = -15 - z. Calculate the remainder when t is divided by n.
3
Let b = -3657 - -5081. Calculate the remainder when b is divided by 12.
8
Let y be -1 + 3/(-2)*(-20)/6. Suppose 21 = -y*w + 93. Suppose 4*b = -5*u + 81, -2*b + 3 + w = u. Calculate the remainder when 51 is divided by u.
12
Let z = -90 + 134. Suppose -5*x - 4*d + 7 = -z, 0 = -x + 2*d + 13. What is the remainder when 115 is divided by x?
5
Calculate the remainder when ((-80)/(-90))/(6/1917) is divided by 117.
50
Let u(y) be the first derivative of 4*y**3/3 + 9*y**2 - 5*y - 59. Calculate the remainder when u(-8) is divided by 12.
11
Let k = -440 + -54. Let f = -483 - k. Calculate the remainder when 142 is divided by f.
10
Let c be ((-66)/9)/((-6)/36). Suppose c*m - 40*m = 200. What is the remainder when m/6*7/((-14)/(-24)) is divided by 17?
15
Let p(g) = -207*g + 4161. What is the remainder when 303 is divided by p(20)?
9
Let s(n) be the first derivative of -n**3/3 - 13*n**2 - 50*n - 176. Suppose -2*c - 40 = -2*t, -5*t = 6 + 9. What is the remainder when 55 is divided by s(c)?
17
Let v = 13573 - 13058. Calculate the remainder when v is divided by 20.
15
Suppose 143*i = 17543 + 4336. Calculate the remainder when 759 is divided by i.
147
Let o(g) = 5*g**2 - 13*g + 27. Suppose -s = 0, 4*z - 6*s - 20 = -5*s. Calculate the remainder when o(z) is divided by 25.
12
What is the remainder when 0 + ((-1)/(5/4) - (-718)/10) is divided by (-1182)/(-30) + (-2)/5?
32
Suppose -352*r + 234*r + 472 = 0. Suppose 4*o = -0*o + 156. Let a = -24 + o. What is the remainder when a is divided by r?
3
Suppose -54 = l - 10*l. Let z(j) = j**3 + 17*j**2 - 18*j + 13. Calculate the remainder when z(-18) is divided by l.
1
Let x be -128*(-9)/(-7)*63/(-36). Suppose -3*n + x = 120. What is the remainder when n is divided by 19?
18
Suppose -2*p - 692 = -5*g + 861, 4*g + p = 1245. Calculate the remainder when g is divided by 24.
23
Suppose -2*p + 7 = q, 4 = -3*p - q + 16. Suppose -3*r - p*v + v + 43 = 0, -60 = -4*r - 4*v. What is the remainder when 203 is divided by r?
16
Let o = 14666 - 14648. What is the remainder when 12829 is divided by o?
13
Let t(n) = 13*n - 51. Let y be t(5). Suppose -4*z = -y*z + 230. Calculate the remainder when 268/(-6)*(-6)/4 is divided by z.
21
Let d(t) = 120 - 41 - 16*t + 5*t. Calculate the remainder when 32 is divided by d(6).
6
Suppose 5*a + 15 = 0, 315 = -2*q - 6*a + 3*a. Let t = 163 + q. What is the remainder when (1 + (-2 - 0))*-29 is divided by t?
9
Suppose 42*k + 5*g = 41*k + 170, 876 = 5*k - g. Calculate the remainder when k is divided by 47.
34
Let l = 496 + -463. Suppose -35*g = -l*g - 644. Calculate the remainder when g is divided by 65.
62
Let q = 2240 + 2803. What is the remainder when q is divided by 97?
96
Suppose 0 = -120*j + 3*j + 4797. What is the remainder when j is divided by 13 - 0/(-3)*1?
2
Let a(x) = 1169*x - 6911. Let c(k) = 2*k**3 - 1. What is the remainder when a(6) is divided by c(3)?
50
Let o(z) = -z**2 + 29*z + 1881. What is the remainder when 399 is divided by o(59)?
66
Calculate the remainder when 517 is divided by 2*5/(-175) - (-1017)/35.
24
Suppose -388*c = -391*c + 357. Calculate the remainder when c is divided by 45.
29
Let m(l) be the first derivative of -l**4/4 - 3*l**3 - l**2/2 - 6*l - 150. What is the remainder when 4 is divided by m(-9)?
1
Suppose -3*v + 108 = a + 2*a, -4*v + 5*a = -108. Suppose 4*x + 27148 = 5*k + 26602, 4*k + 3*x = 536. Calculate the remainder when k is divided by v.
26
Suppose 2*z + 3*o = -391 + 402, 0 = z - 5*o - 38. Let i(d) = 3*d**3 - d**2 - 3*d + 2. What is the remainder when i(2) is divided by z?
3
Let u = -8498 + 8724. What is the remainder when u is divided by 119?
107
Let t = 6598 - 6545. What is the remainder when 307 is divided by t?
42
What is the rema