 5*a**2 - 11*a - 1. Suppose 0 = -4*v - 4, 2*v = m + 46 - 45. Calculate the remainder when 109 is divided by j(m).
11
Let a = -397 + 1055. Suppose -18*g = -a - 386. What is the remainder when g is divided by 5?
3
Let f(z) = 12*z**3 + z**2 - 5*z + 3. Let g be f(2). Calculate the remainder when 109 is divided by (-496)/g*(1 - 4).
13
Let o(s) = 3*s**2 + 7*s + 2. Let w(v) = -25*v**2 - 2898*v + 290. What is the remainder when o(5) is divided by w(-116)?
54
Let m(u) be the second derivative of -u**5/10 + u**4/4 + 2*u**3 - 5*u**2 + 2*u. Let n be m(4). Calculate the remainder when 3/7 - 1956/n is divided by 12.
11
Let n(z) be the second derivative of z**5/20 - 17*z**4/12 + 17*z**2/2 + z. Let q be (34/4)/(2*(-3)/(-12)). What is the remainder when n(q) is divided by 5?
2
Suppose 0 = 2*h - 4, -4*m = -5*h + 81 - 23. Let u = m - -13. Suppose 2*i + i = 2*c + 3, -4 = -4*i + 3*c. What is the remainder when u is divided by i?
0
Let l(i) = 17*i**2 + 308*i + 95. Calculate the remainder when l(-24) is divided by 355.
10
Suppose 21*m = 3*l + 26*m + 1189, -6 = 3*m. Let z = 411 + l. What is the remainder when 664 is divided by z?
16
Suppose -1123 = -5*s - 4*b, 2*s - 202 - 201 = 5*b. Calculate the remainder when s is divided by 62.
33
Let y = -50 + 221. Let j = -167 + y. Calculate the remainder when 6 is divided by j.
2
Suppose -3 = 2*h - 9. Suppose 3*o - 2*x - 188 = -h*x, -o + 58 = -2*x. Calculate the remainder when 121 is divided by o.
59
What is the remainder when (10908/3780 + (-2)/7)*25 is divided by 41?
24
Let m = -8894 + 9130. Calculate the remainder when 1167 is divided by m.
223
Suppose 0 = -4*q, 2*k + 460 - 1724 = -q. Calculate the remainder when k is divided by 159.
155
Let h(m) = m**3 + 29*m**2 + 185*m - 1. What is the remainder when 205 is divided by h(-10)?
9
What is the remainder when 4298 + 2 + (-10 - 1) is divided by 143?
142
Let w = 2119 + -1834. Calculate the remainder when w is divided by 22.
21
Let j = -319 + 321. Let f = -4 + 1. Calculate the remainder when j is divided by 1*f + -6 + 11.
0
Let k(d) = d + 31. Suppose -5*u - 3 = 5*f - 38, -2*f + 4*u + 14 = 0. What is the remainder when 150 - (3 - 0)/(-3) is divided by k(f)?
37
Let y(l) = 18*l + 94. Let v be ((-12)/(-7))/(-6) + 51/7. Calculate the remainder when y(v) is divided by 37.
35
Let k = -2160 + 2244. Calculate the remainder when k is divided by 78.
6
Let q = 870 + -300. Suppose -6*r = 9*r - q. What is the remainder when 73 is divided by r?
35
Let x = 519 + -513. Suppose -5*g + 1950 = -p + x*p, -g = 2*p - 778. What is the remainder when p is divided by 15?
13
Suppose -3*a + 513 = -5*f, 332 = 2*a - 0*a - 5*f. Let c = 54 - 28. What is the remainder when a is divided by c?
25
Let j(f) = f**3 - 4*f**2 + 27*f - 258. What is the remainder when j(8) is divided by 71?
1
Let a(z) = -16*z**2 + 159*z - 11. Suppose 12*k + 0*k = 108. Calculate the remainder when a(k) is divided by 19.
10
Suppose 140*i = 148*i - 2032. Suppose -59*j + 61*j - i = 0. Calculate the remainder when j is divided by 12.
7
Let t(m) = -4*m**2 + m + 8. Let s be t(0). Suppose 4*n = -7 + 31. What is the remainder when 1/(-3) - (s - 574/21) is divided by n?
1
Let r = -572 - -867. What is the remainder when r is divided by 45?
25
Let q = 1223 + -493. What is the remainder when q is divided by 364?
2
Suppose 349 + 263 = 6*s. Suppose 240 = 2*o - 2*h, -54*o + 53*o - 5*h = -s. What is the remainder when o is divided by 33?
18
Suppose 0 = -2*z - 6*y + 1224, 60*y - 61*y - 608 = -z. Calculate the remainder when z is divided by 213.
183
Let j(w) = 2*w**3 - w - 1. What is the remainder when 15/(-20)*(-9 + -77 + 2) is divided by j(2)?
11
Let x = 4 - 1. Suppose 0 = -8*s - 39*s - 47. What is the remainder when 3 is divided by x - ((2 - s) + -3)?
0
Let i(j) = -j**3 + 15*j**2 + 185*j - 2114. Suppose 5*h - 3*a = 160, -a + 21 = h - 3. What is the remainder when i(11) is divided by h?
28
Suppose 3150 = -477*u + 519*u. What is the remainder when 600 is divided by u?
0
Suppose 24*n - 2907 = 7*n. Suppose 3*w = 3*m - 243, w - n = 2*m - 4*m. Calculate the remainder when m is divided by 31.
22
Suppose 3*q - 2824 = -4*i + 290, -4*i + q = -3106. Calculate the remainder when i is divided by 122.
45
Let i(j) = 6*j**3 - 3*j**2 - j + 3. Let a = 81562 - 81525. Calculate the remainder when i(3) is divided by a.
24
Let m = -2121 + 2149. Let c(v) = 54*v + 3. What is the remainder when c(3) is divided by m?
25
Suppose -6*t + 19*t - 2369 = -10*t. Calculate the remainder when 1538 is divided by t.
96
Suppose 107340 = -289*b + 77*b + 1033144. What is the remainder when b is divided by 141?
137
Let t = 91 - -27. Let n = -18500 + 18533. Calculate the remainder when t is divided by n.
19
Suppose -4*d = -2*q - 0*q, 4*q + 3*d = 0. Suppose -2*l = -22 - q. What is the remainder when 18 is divided by l?
7
Suppose 1145*j = 1134*j + 8283. What is the remainder when j is divided by 108?
105
Let g = 29 - 22. Let s be g/(56/12)*(-16)/(-6). Suppose 6*u = -s*u + 130. Calculate the remainder when 48 is divided by u.
9
Calculate the remainder when (-97412)/(-30) - (333/(-135))/(-37) is divided by 29.
28
Let z = -38 + 39. What is the remainder when (76 + -2 + z)*(-65)/(-39) is divided by (34 - 1) + (0 - 1)?
29
Suppose -3 = 4*b - 15. Suppose 3*f = -2*s + 18, 6 = 3*f - b*s + 3. Suppose 3*r + 12 = f*u - 0*r, -9 = -3*u - r. What is the remainder when u is divided by 1?
0
Let m = 260 + -167. Suppose -2*a + 7*a - 100 = -5*p, 5*a - 4*p = 64. Suppose -13*g + a = -12*g. Calculate the remainder when m is divided by g.
13
Let a be (-88)/66 - ((-2110)/(-6) + 1). Let i = -215 - a. Calculate the remainder when i is divided by 31.
15
Suppose -193 = -5*d + 2*m, 2*d - 54 = 120*m - 125*m. What is the remainder when 450 is divided by d?
6
Suppose 106*j - 20 = 105*j. Calculate the remainder when 41 is divided by 13 - (-20)/j*(0 + 1).
13
Let v = -347 + 784. Suppose 18*k - 3415 = v. Calculate the remainder when k is divided by 36.
34
Suppose 20 = 3*t - t. Let a = 16 - t. Suppose a*q - 157 = -49. Calculate the remainder when 33 is divided by q.
15
Let c be -6*(-3 + (-25)/(-10)). Suppose -7 - 14 = -c*j. Calculate the remainder when ((-7)/(-5) + 4)*5 is divided by j.
6
Let v = 14877 + -14619. What is the remainder when 1530 is divided by v?
240
Let o be (0 - -4)*(45/(-18) + 11). Suppose -4115 = -o*t - 783. Calculate the remainder when t is divided by 9.
8
Let u(a) = -a**3 - 19*a**2 + a + 21. Let t be u(-19). Suppose 4*y = 19 + 49. Let j = y - t. Calculate the remainder when 58 is divided by j.
13
Suppose 10*v = -348 + 2118. What is the remainder when 2653 is divided by v?
175
Let k = -2652 - -6349. Calculate the remainder when k is divided by 137.
135
Let r = -2817 - -3816. Calculate the remainder when r is divided by 40.
39
Suppose 5*s = 2*s + 57. Suppose 6*n = 11*n + 5*k - 210, 5*n - k - 180 = 0. Calculate the remainder when n is divided by s.
18
Suppose -51*s + 47*s = 3*t - 1246, 1251 = 3*t + 3*s. What is the remainder when t is divided by 21?
2
Let t(b) = b**2 - b + 8. Let v(f) = -f**2 - 21*f + 40. Let s be v(-23). What is the remainder when 82 is divided by t(s)?
32
Let w(f) = -15*f**3 - 100*f**2 - 14*f - 9. What is the remainder when 4151 is divided by w(-8)?
2
Let l = 4481 - 4017. What is the remainder when l is divided by 80?
64
What is the remainder when 906 is divided by ((-124)/155)/((-20)/125)?
1
Suppose 0 = -81*b + 475 + 4061. What is the remainder when 119 is divided by b?
7
Suppose -16 = -f - 3*f, 0 = 4*s - f - 80. Suppose -3*l + 792 = 3*z, z + 6 - 4 = 0. What is the remainder when l is divided by s?
14
Let r(w) = 346*w - 1. Suppose 1859*o = 1829*o + 1740. What is the remainder when r(1) is divided by o?
55
Calculate the remainder when 187 is divided by 1/((-4)/(-90))*228/95.
25
Suppose -6*o + 2274 + 402 = 0. Suppose 0 = -8*h - o + 1486. Calculate the remainder when h is divided by 27.
22
Suppose -17*y + 79 = -6. Suppose -y*b + 153 = -1482. Calculate the remainder when b is divided by 41.
40
Let j(m) = m + 23. Let n be j(-10). Let y = 20 - n. Suppose 3*b - 66 = -4*v, -y = -4*v + 3*v + 4*b. What is the remainder when v is divided by 6?
3
Let o(s) = 5*s**3 - 4*s**2 + 3*s - 7. What is the remainder when 57 is divided by o(2)?
11
Suppose -2*k = 3*g - 852, -k - 848 = -3*k - 2*g. Suppose -k = -35*r + 