70*n. Calculate the remainder when 42 is divided by q(o).
6
Suppose 12 = -4*x, 2*x - 83 = 5*s + 71. Let h = -29 - s. Suppose 4*j - 7 = -b - 15, -j - 36 = -4*b. Calculate the remainder when b is divided by h.
2
Let i = 101 - 171. Let q = -42 - i. Let z = 38 + -23. Calculate the remainder when q is divided by z.
13
Calculate the remainder when (51129/(-18))/(-19) - (-1)/2 is divided by 14.
10
Let b(j) = 64*j**3 - 4*j**2 + 4*j - 2. Calculate the remainder when b(3) is divided by 51.
19
Suppose 23 = 20*y - 77. Let s = y + 5. Calculate the remainder when 60 is divided by s.
0
Let s = 3394 - 3116. What is the remainder when s is divided by 132?
14
Let f = 3 - -4. Let s(t) = 196*t + 599. Calculate the remainder when s(-3) is divided by f.
4
Let h(j) = -73*j + 8717. What is the remainder when 1158 is divided by h(119)?
18
Let k(t) = 73*t - 5487. What is the remainder when k(96) is divided by 51?
42
Let l(d) = -d + 105. What is the remainder when 229 is divided by l(-85)?
39
Calculate the remainder when 1070 is divided by (-32)/(-432)*-3 - (1336/(-18) + 1).
48
Let t(d) = -16*d - 2. Let g be (-3)/6*-4*36/8. Suppose -4*m = g - 5. Calculate the remainder when 25 is divided by t(m).
11
Suppose z + 118 = -13. Let j = 75 - z. What is the remainder when j is divided by 13?
11
Suppose 797 = -4*j - 3*c, -8*j + 3*c + 403 = -10*j. Let n = 275 + j. Calculate the remainder when n is divided by 22.
12
Let l = -6889 + 8145. Calculate the remainder when l is divided by 97.
92
Let x(t) = 49 - 107 - 15*t + 52. Calculate the remainder when 160 is divided by x(-1).
7
Let b(q) = q**3 - 6*q**2 - 2*q + 22. Let c be (-28 + (4 - 2))/(-2). Let g = c + -6. What is the remainder when b(g) is divided by 18?
3
Suppose 4*l = 83 + 597. Suppose 2023*i + 2010*i = -1270*i - 403*i + 205416. What is the remainder when l is divided by i?
26
Suppose -25*n - 437 = -1892 - 3220. Calculate the remainder when 2040 is divided by n.
170
Calculate the remainder when 2156 is divided by (-8)/96*-1593 + 15/12.
12
Let m = 2050 + -2039. Calculate the remainder when 201 is divided by m.
3
Let y(a) = -a**2 + 61*a - 234. What is the remainder when y(13) is divided by 85?
50
Let s = -32 + 70. Let l(o) = 8*o**2 + 3*o - 7. Let x = -14 + 17. What is the remainder when l(x) is divided by s?
36
Let o = 341 - 336. Suppose -3*u - 119 = -o*j, 14*u = -2*j + 17*u + 44. What is the remainder when 98 is divided by j?
23
Let o(n) = -2*n**2 - 8*n + 652. Calculate the remainder when o(0) is divided by 55.
47
Let s(p) = 2*p**2 - 12*p + 25. Let n be s(-11). Suppose 4*u = -5*l - n, 2*u + 203 = l - 0*l. Let f = -70 - u. What is the remainder when 153 is divided by f?
29
Let o(m) = -m**3 + 10*m**2 + 12*m - 8. Let n be o(11). Let j be (111 + -6)*(-3)/n. Let i = j - -215. Calculate the remainder when i is divided by 37.
36
What is the remainder when 6 + (3/(-2))/((-159)/625612) is divided by 23?
20
Calculate the remainder when (-1080)/(-70)*(-126)/(-12) is divided by 33.
30
Suppose 5*d - 3*s - 1344 = 0, d - 6*d + 1312 = s. What is the remainder when 1054 is divided by d?
262
Let m(y) = -y + 5. Let x be m(6). Let d be (0 + 3)*x*-1. Suppose -d*o + 48 = 3*o. What is the remainder when 10 is divided by o?
2
Let w(l) = 2*l**3 + 14*l**2 + 11*l + 19. Suppose -4*f - 28 = 2*d, 0 = -2*f + 2*d - 5*d - 18. What is the remainder when 146 is divided by w(f)?
21
Let x(s) = 5*s**3 + s**2 + s - 2. Let c be x(1). Suppose -26*f = -23*f - 4*j - 487, -c*f + 5*j + 805 = 0. What is the remainder when f is divided by 27?
22
Let g be (-492)/4 + 2 + -5. Calculate the remainder when (6 + (-13)/3)/((-2)/g) is divided by 36.
33
Let b(g) = -7*g**3 + 2*g**2 + 15*g - 5. Suppose -60 = -11*n + n. Let m be b(n). Calculate the remainder when 115 is divided by (-6)/(-21) + m/(-35).
37
Let i = 393 + -51. Suppose -2*w = 8*w - 860. Suppose 5*z + 5*y + 112 = i, 2*z = y + w. What is the remainder when z is divided by 12?
8
Let d(p) = 56*p**3 + 15*p - 15. What is the remainder when 192 is divided by d(1)?
24
Let h(z) = -11*z**2 + 140*z + 12. Calculate the remainder when h(8) is divided by 176.
76
Let d = -7459 - -12709. Calculate the remainder when d is divided by 17.
14
Calculate the remainder when (-64 + 20)*189/(-6) is divided by 19.
18
Let l(v) = -8599*v + 60241. What is the remainder when (-8)/2*(-87)/4 is divided by l(7)?
39
Suppose 6539 = 121*y - 3867. Calculate the remainder when y is divided by 77.
9
Let g = 11 - 7. Suppose 2*t - 3*t = g*a - 14, -2*a = 2*t - 40. Suppose 6*l = 4*l - 5*y + 145, -2*l = -2*y - 180. Calculate the remainder when l is divided by t.
19
Let m(j) be the third derivative of j**6/40 + j**5/60 + j**4/8 + j**3/6 - 6*j**2. Let c be m(2). Let z = 36 - c. What is the remainder when 1 is divided by z?
0
Suppose -246 = -3*u - 3*t, -2*u = -2*t - 137 - 7. Suppose 75*x = u*x - 44. What is the remainder when 161 is divided by x?
7
Let o(u) = 5*u - 7. Let f be o(2). Suppose 0*a - f*a + 399 = 0. Suppose -134*w + a*w + 84 = 0. What is the remainder when w is divided by 22?
18
Suppose 262*d = 257*d - 5*y + 635, -6*d = -5*y - 707. Let s(x) = -2*x**3 + 3*x**2 + 2*x + 2. Calculate the remainder when d is divided by s(-2).
18
Suppose -3*x - 33*v + 405 = -36*v, 2*x - 282 = -v. Let d(h) = -38*h - 3. What is the remainder when x is divided by d(-1)?
34
Suppose f - 3*d - 50 = 0, -2*d = 3*f - 148 + 53. What is the remainder when 2/5 + ((-15432)/(-15))/8 is divided by f?
24
What is the remainder when 643 is divided by 56/24*621/161?
4
Let z(j) = -j**3 + 8*j**2 - 5*j + 2. Suppose 4028*l = 4096*l - 66980. What is the remainder when l is divided by z(5)?
49
Suppose 61*k - 3040 = 45*k. Let n = 234 - k. What is the remainder when 144 is divided by n?
12
Suppose 2*q - 15 = -a, 2*a - 27 = -5*q + 13. Suppose 4*v = -3*p + 55, -4*p = 12*v - q*v - 30. Calculate the remainder when 31 is divided by v.
5
Suppose -4*t = -t - 90. Suppose 2*w - 25*u = -t*u + 330, 3*w - u - 495 = 0. What is the remainder when w is divided by 83?
82
Let m = 269 + -16. What is the remainder when m is divided by 49 + -1 + 9/3?
49
Let y(k) = k**2 - 22*k - 1. Let c be y(27). Let b = c + -61. Calculate the remainder when b is divided by 11.
7
Let l(p) = -p**2 - 14*p + 18. Let b be l(-8). Let s be ((b/4)/(-3))/(7/98). Let m = -41 - s. What is the remainder when 106 is divided by m?
34
Suppose 113*h - 4207 = -139. What is the remainder when 219 is divided by h?
3
Let p(r) = 3*r**2 - 34*r - 49. Let d = 29 + -6. Calculate the remainder when p(19) is divided by d.
20
Let j(n) be the first derivative of -n**4/4 + 14*n**3/3 + 33*n**2/2 - 13*n + 106. What is the remainder when 51 is divided by j(16)?
0
Let o = 7779 - 6022. Calculate the remainder when o is divided by 1750.
7
Suppose 3*t - 80 = -2*t + 5*f, t = -5*f + 28. Suppose h + 8 = -l + 69, 5*l - 345 = 5*h. Let w = 136 - l. What is the remainder when w is divided by t?
17
Suppose -5*q - 184 + 164 = 0. Suppose -291 = -l - d, 2*d - 1179 = -4*l - 5. What is the remainder when l is divided by (-15)/((q/48)/((-3)/(-9)))?
56
Suppose -20*q + 1084 = -76. Suppose 7*x - q = 131. Suppose -15 = -l + r + r, r = -2. Calculate the remainder when x is divided by l.
5
What is the remainder when (2/(-4))/((-2)/28) is divided by (150 + 0)/15 - 25/5?
2
Let v = 1479 + -1456. Let q = -2 - 1. Calculate the remainder when v is divided by 1*(-9)/(q + 2).
5
Let h(q) = -26*q + 2370. Calculate the remainder when 325 is divided by h(90).
25
Let q(x) = -19*x - 12. Let u be (-2)/(-4 + 4 - (-1)/2). Let r(o) = -4*o - 2. What is the remainder when q(u) is divided by r(-6)?
20
Suppose -10*a + 4672 = 34*a + 1856. Calculate the remainder when a is divided by 21.
1
Suppose 179 = 5*h - j, 3*h + 3*j - 437 = -344. Calculate the remainder when 1499 is divided by h.
29
Let d(h) = 0*h - 2 + 29*h**2 - 7 - 21 - 9*h - 2*h**3. Calculate the remainder when d(14) is divided by 15.
10
Let h(a) = 14 + 16*a - a**2 - 54 + 3. Let n be h(13). What is the remainder when 2*n/(4/11) is divided by 4?
3
Suppose o = -5*x - 2*o + 19, -2*o - 14 = -2*x. Suppose 2*f - 14 = 2*t, x*t + f + 41 = -0*f. Calculate the remainder when 2/t + 109/4 is divided by 7.
6
Suppose 5*t + 5*c - 2520 = 0, 142 = -c + 139. Calculate the remainder when t is divided by 27.
21
Let a = 7119 + -7104. Calculate the remainder when 908 is divided