207 - -255. What is the remainder when i is divided by ((-1)/2)/(12/j)?
23
Let y(j) = j**2 + 61*j + 920. Calculate the remainder when 3977 is divided by y(-25).
17
Let j(v) = -16*v - 24. Calculate the remainder when ((-5)/(-5 - 0))/((16/(-564))/(-4)) is divided by j(-6).
69
Suppose -n - 9 = -2*n. Let x(p) = 185*p - 291. Let c be x(-6). Let k = 1417 + c. What is the remainder when k is divided by n?
7
Suppose 10*t - 5*t + 29 = -4*z, -67 = 5*z - 4*t. Let u(w) = w**3 + 9*w**2 - 22*w + 45. Calculate the remainder when 402 is divided by u(z).
42
Let n(k) = -8380*k + 261. Calculate the remainder when n(-2) is divided by 28.
25
Suppose -627 - 960 = -23*u. What is the remainder when 881 is divided by u?
53
Suppose 24*a = 12*a - 72. Let o(k) = -2*k**3 - 9*k**2 + 2*k - 14. What is the remainder when 245 is divided by o(a)?
81
Let a(j) = -7*j - 76 + j**3 - 20*j + 10*j**2 + 8*j. Calculate the remainder when a(-11) is divided by 12.
0
Let f(m) = -11*m**2 - 556*m + 24. Calculate the remainder when 983 is divided by f(-50).
11
Let g = 82 + 10. Suppose g*n - 86*n = 204. What is the remainder when n is divided by 7?
6
Let t(i) = -i**3 - 13*i**2 - 32*i - 12. Let a be t(-10). Suppose q + 10 = l + 2, -q = l - a. What is the remainder when 10 is divided by l?
2
Suppose j - 8 = 3*v, 4*v + 4 = 11*j - 13*j. Calculate the remainder when (3 - j)/(5/835) is divided by 14.
13
Let j = 1830 + -1656. Calculate the remainder when 178 is divided by j.
4
Let f(a) = -a**2 + 104*a - 1837. Calculate the remainder when 226 is divided by f(81).
18
Calculate the remainder when 1168 is divided by (-17025)/(-60) + -25*1/(-20).
28
Let t(z) = 29*z - 1066. Calculate the remainder when t(54) is divided by 33.
5
Suppose -4*o + o + 174 = 0. Let c = -19 + o. Suppose 21*m - 20*m = -4*n + 40, -5*n + 4*m = -50. What is the remainder when c is divided by n?
9
Suppose -2*b - 2*s + 106 = 0, 5*b - 56 = 5*s + 189. Calculate the remainder when b is divided by 16.
3
Let y be 2/46*72724 + 18/207. What is the remainder when 122 is divided by (2/(-6))/((-34)/y)?
29
Let w(i) = -42*i + 3001. Calculate the remainder when 549 is divided by w(68).
114
Let g = -10826 - -10908. What is the remainder when 708 is divided by g?
52
Let j(n) = 5*n**2 - n + 1. Let q be j(1). Suppose o - 3*p - 17 = 0, -q*p = -4*o + o + 59. Let d = 153 + -146. What is the remainder when o is divided by d?
2
Suppose 10*s - 716 - 535 = 709. Suppose 3*w = -w + 72. Calculate the remainder when s is divided by w.
16
Let m = 303 - 298. Let p(y) = 2*y**2 - 16*y + 90. What is the remainder when 116 is divided by p(m)?
56
Let w(f) be the third derivative of f**6/120 + f**5/4 + 11*f**4/12 + 10*f**3/3 - 28*f**2. What is the remainder when w(-13) is divided by 41?
31
Calculate the remainder when 3080/49 + (-7)/(-49) is divided by 1.
0
Let n = 3 - -6. Let g(o) be the third derivative of -o**5/60 - 23*o**4/24 - 23*o**3/6 - 24*o**2. What is the remainder when g(-19) is divided by n?
8
Let n(c) = 3*c**3 + 126*c**2 - c - 30. Let v(y) = 37*y + 28. What is the remainder when v(6) is divided by n(-42)?
10
Suppose -5938*h + 1025 = -5933*h. What is the remainder when h is divided by 41?
0
Suppose 0 = -m + 7. Let u be 2/(-5) - (-24)/10. Suppose 5*n - 54 = 4*f, -3*n - u*n + f = -66. What is the remainder when n is divided by m?
0
Let t = 263 + -225. Suppose -4 + 76 = 2*u + 2*l, -u + t = 3*l. Calculate the remainder when 99 is divided by u.
29
Suppose 0 = 11*w - 4*w + 21. Let c = w + 26. Let b = -40 - -175. Calculate the remainder when b is divided by c.
20
Suppose 5*t + 2*x = 1122, 2*t - 387 = 3*x + 58. Calculate the remainder when t is divided by 73.
5
Let x(l) = 65*l**2 - 394*l + 94. Suppose u - 3*z - 42 = -4*z, -5*u + 192 = -z. Calculate the remainder when x(6) is divided by u.
31
Let t be -4*(-2 + 6/8). Let l be -1 + -3*(-15)/9. Suppose l*o = -t*k + 138, -k - 2*k - 5*o + 88 = 0. What is the remainder when 75 is divided by k?
23
Let a = -9 + 102. Suppose w = a + 171. Calculate the remainder when w is divided by 38.
36
Suppose 0 = 55*a - 4280 - 230. Calculate the remainder when 106 is divided by a.
24
Let j(z) = -28*z**3 - 3*z**2 + 2*z + 5. Let w(x) = 85*x**3 + 8*x**2 - 5*x - 14. Let c(r) = 11*j(r) + 4*w(r). What is the remainder when 84 is divided by c(1)?
20
Suppose 0 = -h + 5*v + 1829 - 414, 0 = 3*h + 3*v - 4155. What is the remainder when h is divided by 29?
27
Suppose -2*r - k + 181 = 0, 193 = 5*r + 3*k - 259. Let j = 178 - r. What is the remainder when j is divided by 25?
12
Suppose -279 = 2*c - 5*c. Let u = c + 6. Let i = 108 - u. Calculate the remainder when 32 is divided by i.
5
Suppose 58*j + 1068 = 60*j + 2*l, -l + 3 = 0. What is the remainder when j is divided by 45?
36
Let i(g) = 2*g**2 - 33*g - 2540. What is the remainder when 425 is divided by i(45)?
0
Let o be (-12)/66 + 3502/22. Let b = o + -64. Let w = b + -49. What is the remainder when w is divided by 7?
4
Let g(i) = -i**3 + 7*i**2 + 6*i + 5. Suppose 2*y + d - 7 = 0, -d + 25 = -6*d. Let p(l) = 6*l**2 + 2. What is the remainder when g(y) is divided by p(-2)?
25
Suppose 0 = -2*f - 7*f - 5724. Calculate the remainder when 94 is divided by (7/(-14))/(2550/f + 4).
41
Suppose 5*l - 10*d = -11*d + 49, -d - 51 = -5*l. Suppose 2*s = 3*b - 4*b + l, -2*b + s = -30. Calculate the remainder when 96 is divided by b.
12
Suppose 0 = v - 0*v - 0*v. Suppose 1 = -2*d - 1, 177 = 3*q - 3*d. Suppose 2*y + v*y = q. What is the remainder when y is divided by 8?
5
Let h(p) = p + 12. Let d(z) = -10 - 13*z + 1 - 2 + 18*z. Let f be d(4). Calculate the remainder when 38 is divided by h(f).
17
Suppose -5*j + 13*j - 520 = 0. What is the remainder when 1752 is divided by j?
62
Suppose -199*k + 161*k + 4302 + 2538 = 0. What is the remainder when 33839 is divided by k?
179
Calculate the remainder when (-3057)/(-9)*(-504)/(-168) is divided by 46.
7
Let m(f) = 3*f - 4*f - 7*f - f**3 + 15*f**2 + 44. What is the remainder when m(14) is divided by 35?
23
Let b(t) = 2 - 6*t - 19 - 2 + 11*t**2 - t**3. Calculate the remainder when b(8) is divided by 32.
29
Suppose -35*p = 73*p - 222156. What is the remainder when p is divided by 35?
27
Suppose -4*d + 523 = 39. Suppose 0 = -4*l - 3*h + h + 198, 0 = 2*l + 5*h - 95. What is the remainder when d is divided by l?
21
Suppose 2*b + 70 = 5*i, 18 - 60 = -3*i + 3*b. Let w = -5221 + 5254. What is the remainder when w is divided by i?
5
What is the remainder when 176 is divided by 17205/333*(-12)/(-10)?
52
Suppose 3*f - 6 = -5*k - 2, 4*k = -f - 1. Suppose 5*o + f*s = -s + 3, 0 = o + s. Calculate the remainder when 68 is divided by o.
2
Let t(c) = -25*c - 1756. What is the remainder when 146 is divided by t(-71)?
13
Suppose -218*c = 222*c - 463*c + 5497. What is the remainder when c is divided by 4?
3
Suppose 30339*y - 30368*y = -1160. What is the remainder when y is divided by 6*((-20)/3)/(-5)?
0
Let l = -1 - 0. Let p be 0/(2/((-2)/l)). Suppose -2*f + 103 - 33 = p. Calculate the remainder when f is divided by 10.
5
Suppose 4*t + p - 38 - 25 = 0, t + 3*p - 24 = 0. Let h = 149 - 136. What is the remainder when (-2)/3 + 775/t is divided by h?
12
Let l(o) = -o**3 - 2*o**2 + 5*o + 10. Let t be l(-3). Suppose -5*z + z + 44 = -2*c, c + 48 = t*z. Calculate the remainder when -1*3/6*-42 is divided by z.
8
Let n = -1795 - -2803. Calculate the remainder when (-2)/7 + (13 - n/(-98)) is divided by 11.
1
Let z = 229 + -224. Suppose -52 + 202 = 4*q + 5*h, -36 = -q - 2*h. Calculate the remainder when 10/15 + q/3 is divided by z.
4
Suppose 3*k = -2*k - l - 25, -2*k = -3*l - 7. What is the remainder when k/8*1*(-776)/4 is divided by 34?
29
Let v(g) = g**3 - 7*g**2 + 6*g + 2. Let p be v(7). Suppose -9*y = -20*y + p. Suppose -9*k = -y*k - 170. Calculate the remainder when 135 is divided by k.
33
Suppose -93*l + 2785 + 7352 = 0. Calculate the remainder when 3046 is divided by l.
103
Let y = -13651 - -13775. Calculate the remainder when y is divided by 6.
4
Suppose 4*p - 4*r + 2*r = -82, r = 5*p + 104. Let s(m) = -21*m - 63. Calculate the remainder when s(p) is divided by 38.
36
Let o be (1 + 10)*(0 - -10). Suppose 0 = 111*t - o*t - 3. Suppose -5*h + 5*v + 70 = 0, -5*v = -0*h + h - 8. What is the remainder when h is divided by t?
1
Suppose -1251 = -7*c - 19. Suppose 2*x - 116 = c. Calculate the remainder wh