. Suppose -l*h = -2*w + 12, 0 = 5*w + h - 0*h - 64. What is the remainder when w is divided by 8?
4
Suppose -727*y + 2096 = -723*y - 4*p, 2*p + 14 = 0. Calculate the remainder when y is divided by 173.
171
Suppose 35648 = 10*m + r, 43 = 4*r + 51. Calculate the remainder when m is divided by 47.
40
Suppose 0 = 7*m - 522 + 88. Suppose -67*n + m*n + 180 = 0. Let r(s) = -s**3 - s + 13. What is the remainder when n is divided by r(0)?
10
Suppose 10*v + 3106 = -149*v + 14872. What is the remainder when 335 is divided by v?
39
Let q = -76 - -127. Let n(a) = 99 - 30 - 12 + 10 + 101 + 50*a. What is the remainder when q is divided by n(-3)?
15
Suppose -66 = -32*k + 26*k. Suppose 26*c = 25*c + k. Calculate the remainder when c is divided by 10.
1
Let i(h) be the second derivative of -h**4/12 - 7*h**3/2 - 14*h**2 + 74*h. What is the remainder when 107 is divided by i(-19)?
7
Let y(a) = -a - 21. Let d be y(-32). Let p(c) = 10*c - 80. What is the remainder when p(d) is divided by 27?
3
Suppose 5*z + g - 262 = 0, 2*g + 113 = 4*z - 105. Let w(t) = 160*t + 50. Calculate the remainder when w(2) is divided by z.
52
Calculate the remainder when 2/6*(-9)/9 + 3755/15 is divided by 43.
35
Let p(c) be the third derivative of c**5/60 - 29*c**4/24 + 8*c**3 - c**2 + 6. Calculate the remainder when 197 is divided by p(28).
17
Let u = 18630 - 18598. Calculate the remainder when 1180 is divided by u.
28
Suppose 4*d = -4*z + 240, -4*d = 5*z - 52 - 190. Suppose 4*f - 1227 = -339. Calculate the remainder when f is divided by d.
48
Let y = -200 - -632. Let g = -75 + y. What is the remainder when g is divided by 24?
21
Calculate the remainder when 487 is divided by (-2)/43 - 17640/(-215).
77
Suppose 5*q = -15, 5*m - m - 14 = 2*q. Calculate the remainder when ((208/10)/4)/(m/10) is divided by 15.
11
Suppose 2982 = -n + 2974, -3*y = 5*n - 11. Calculate the remainder when 1221 is divided by y.
14
Let w(q) = -q**3 + 8*q**2 + 3*q + 3. Suppose -j - o = -24, 4*j - j - 67 = -2*o. Calculate the remainder when w(7) is divided by j.
16
Suppose -27 = -3*q - 24. Let c be 3 + q - (-9 - -8). Suppose c*h - 266 = -3*f, 3*f - h - 3*h = 284. Calculate the remainder when f is divided by 24.
20
Suppose 4*h - y = 16, -y + 12 = 2*y. Let w(t) = 5 + 8*t**3 + 15*t - 6*t**2 - 14*t**3 + h*t**3. Calculate the remainder when 89 is divided by w(-8).
11
Let k(o) = 2*o**2 + o + 9. Let g = -12 + 12. Let n(l) = -l**3 - l**2 + 17*l + 2. What is the remainder when n(-5) is divided by k(g)?
8
Suppose -51*c = -6176 - 723 - 1669. What is the remainder when 3369 is divided by c?
9
Let l = 199 + -179. Suppose -18*o = 3*c - 20*o - 828, -c - 4*o = -276. Calculate the remainder when c is divided by l.
16
Let o(v) = v**2 + 12*v - 12. Let w = -17 + 14. What is the remainder when o(-14) is divided by 40/12*w/(-2)?
1
Suppose 0 = -4*a - n + 170, 5*a + 4*n - 208 = 5*n. Suppose 3*r + 261 = 5*h, -15*h + 16*h - 4*r = a. What is the remainder when 156 is divided by h?
48
Let i be (38/76)/(1/8). Calculate the remainder when 60/(-80) + 171/i is divided by 5.
2
Let h = -8322 + 8715. What is the remainder when h is divided by 124?
21
Suppose -932 = 432*y - 12596. Let k(d) = -d**3 + 6*d**2 + 3*d + 4. Calculate the remainder when k(4) is divided by y.
21
Suppose t = 2*j - 106, 8*j - 3*t = 5*j + 159. Let a(d) = 8*d**3 - d**2 - 1. Calculate the remainder when a(3) is divided by j.
47
Suppose -1039*i = -1009*i - 1920. What is the remainder when 727 is divided by i?
23
Let h(s) = -15*s + 2. Let m(q) = -15*q + 1. Let l(w) = 3*h(w) - 4*m(w). What is the remainder when 1353/21 - 24/(-224)*-4 is divided by l(1)?
13
Let c = 17 - 9. Suppose -12*g + 782 = 34*g. Calculate the remainder when g is divided by c.
1
Suppose 5*i = 3*i + 112. Suppose -2*h = -u + 26, 13*u - 5*h + 25 = 15*u. What is the remainder when i is divided by u?
16
Suppose 12955 = 6*w + 10837. What is the remainder when w is divided by 162?
29
Suppose 35 - 15 = 4*s. Suppose -5*m + 15 = 0, -4*w = w + s*m - 70. Calculate the remainder when 44 is divided by w.
0
Let u(h) = h**3 - 8*h**2 - 8*h + 21. Let l be (6 - 3)/3 - (1 - 9). Let p be u(l). Suppose 4*i = -i + p. Calculate the remainder when i is divided by 3.
0
Calculate the remainder when 1480 is divided by 107 + -3 - (-40)/(0 - 8).
94
Suppose -2*s = 3*j - 3986, j = s - 2830 + 832. Calculate the remainder when s is divided by 18.
16
Suppose 66 - 36 = 3*s. What is the remainder when 306 is divided by s?
6
Suppose -4*s - 5*l + 1183 = 0, 284*s - 289*s + 2*l = -1421. What is the remainder when 1123 is divided by s?
262
Let z = 1 - -2. Let d(u) = u**3 - 4*u**2 - 193*u + 39. Calculate the remainder when d(16) is divided by z.
2
Calculate the remainder when (-25)/((-175)/(-14)) - (-905 + 1) is divided by 21.
20
Suppose 4744 = -78*m + 11452. Suppose -2*q + 38 = 2*g, 2*q = -1 - 5. Calculate the remainder when m is divided by g.
20
Let l(n) = 1643*n**2 + 32*n + 71. Calculate the remainder when l(-2) is divided by 10.
9
Let v = 365 - 351. Let u = -43 - -63. Let o = -16 + u. Calculate the remainder when v is divided by o.
2
Let s = -10 - -20. Suppose s = -9*k + 11*k. What is the remainder when k is divided by 2*1 + 3 + -3?
1
Let v(l) = -2*l**3 + 2*l + l**3 - 1 - 8*l - 4*l**2. What is the remainder when 44 is divided by v(-3)?
4
Let s(n) = 13*n**2 - 3. Let g be s(-1). Calculate the remainder when 23 is divided by (-36)/(-15)*g + 4/(-2).
1
Suppose 3*c - 133*q = -136*q + 111, 3*c = 3*q + 147. Calculate the remainder when ((-6)/(-2))/(9/222) is divided by c.
31
Suppose 0*v + 2*v + 2*m = 1164, -2*v + 1171 = -5*m. Suppose 9*t = -2*t + v. Calculate the remainder when t is divided by 29.
24
Let m = -117 - -202. Calculate the remainder when m is divided by (-6)/((270/(-12))/15).
1
Suppose 3*f + 25 = 40. Let g(b) = b**2 - 6*b + 3. Let r be g(6). Let v(t) = 7*t - 4. What is the remainder when v(r) is divided by f?
2
Suppose 59*h + 135 = 17. What is the remainder when 92 is divided by (-10 - -14)/(h/(-31))?
30
Suppose 0 = 4*j + 5*m + 33, -2*j + 4*m = -2 - 14. Let x = j - -5. Suppose y - x - 2 = 0. Calculate the remainder when 5 is divided by y.
0
Let f = -56 + 36. Let u be (-4)/(f/845) - -1. Let d = u - 64. Calculate the remainder when d is divided by 18.
16
Let k = -527 + 530. Let y(z) = 21*z**2 - 5*z + 9. What is the remainder when y(k) is divided by 27?
21
Suppose 1 = 7*p - 48. Suppose 2*z + 2*x - 13 = p, -5*z + 36 = -2*x. Suppose -u = s - 8, -3*u - u = -2*s - z. Calculate the remainder when 26 is divided by s.
2
Let x(r) = -r**2 + 203. What is the remainder when 559 is divided by x(14)?
6
Let n(z) = 17*z**2 - 13*z + 49. Suppose -13*r = -8*r - 5*b, 3*r = 4*b - 3. What is the remainder when n(r) is divided by 83?
80
Let f(n) = -6*n. Let r(d) = -d**2 + 3. Let z be r(-2). Let s be f(z). Calculate the remainder when 62 is divided by 1 + 0 - (s - 22).
11
Let i(a) = 39*a - 3322. Calculate the remainder when 2423 is divided by i(86).
23
Let p(m) = 3*m**2 - 3*m**2 + 3*m**2 - m - m**2. Let k be p(1). Calculate the remainder when 2*1/k*(-66)/(-12) is divided by 7.
4
Let i be (-8)/28 - 51/(-7). Suppose -i*q + 550 = -2*q. Suppose 172 - 24 = 4*l. What is the remainder when q is divided by l?
36
Suppose -5*z = 14*z - 684. Suppose -26*c + z = -146. What is the remainder when c is divided by (-14)/63 + 29/9?
1
Suppose 14 = -p + 5*t + 48, -4*t = -2*p + 86. Let m(i) = -7*i**2 + 238*i - 137. What is the remainder when m(33) is divided by p?
45
Let t be (-65)/(-20) - 4 - (-6)/8. Suppose 4*c - 5*m - 11 = 0, t = c + c - 5*m + 7. Calculate the remainder when 3/(-6)*-6*20 is divided by c.
6
What is the remainder when (3 - 5876/(-28)) + (-215)/(-35) + -6 is divided by 115?
98
What is the remainder when (-5)/(15/3303)*152/(-114) is divided by 7?
5
Suppose 820 = -308*m + 318*m. What is the remainder when m is divided by 22?
16
Calculate the remainder when 42/3 + 235 + 432 is divided by 128.
41
Suppose -78*k - 1269 + 1687 = -4574. What is the remainder when 443 is divided by k?
59
Let x = -48110 + 48193. Let q(b) = 2*b**2 - 5*b + 1. What is the remainder when x is divided by q(6)?
40
Suppose 11*i = 21*i - 30. What is the remainder when (-205 - i)/(-4) - 0 is divided by 1*19*(3 - 2)?
14
Suppose 0 = -8*h + 4*t + 856, 560 = 4*h - 4*t + 116. What is the remainder when 824 is divid