n(v) = v**3 + 14*v**2 - 12*v + 50. Let d be n(-15). Suppose -2*z = -3*o + 10, d*o - 2*o + 3*z = 30. What is the remainder when 15 is divided by o?
3
Suppose -3*h = -5*v + 41, 5*v - 34 - 4 = 4*h. Calculate the remainder when 235 is divided by v.
5
Let u(i) = 23*i**2 + 60*i - 4. What is the remainder when u(-7) is divided by 15?
13
Let p = 2426 - 2347. Let n(j) = -j**2 - 9*j + 8. What is the remainder when p is divided by n(-7)?
13
Let t(j) = j**3 - 22*j**2 - 199*j - 7. Calculate the remainder when 142*3/2 + 1 is divided by t(29).
105
Calculate the remainder when (-2710290)/(-858) - (3 + 164/(-52)) is divided by 31.
28
Let g(w) = 6*w + 34. Let z be g(-5). Let a be 2/(z/16*0 + 1). Suppose 4*q = a*c + 2*q - 58, 0 = -c + 3*q + 33. What is the remainder when c is divided by 8?
3
Let u = 108 - 106. Suppose 0 = 5*l + 71*h - 67*h - 1069, u*h + 659 = 3*l. What is the remainder when l is divided by 44?
41
What is the remainder when (4731/4482 - (-2)/(-36))*1495 is divided by 34?
33
Suppose 0 = -a - 3*f + 127, 5*a - 402 = 2*a - 2*f. Let j = a - 127. Calculate the remainder when 143 is divided by j.
8
Suppose 19*i = -3*u - 150, 23 = 4*u - 5*i - 50. Calculate the remainder when 4660 is divided by u.
5
Let v be 99*(-3)/((-27)/6). Let m be -3*(-14 + 2)*v/(-54). Let n = 49 + m. Calculate the remainder when 8 is divided by n.
3
Let s = -1140 + 1473. Calculate the remainder when s is divided by 68.
61
Let g be 15*-88*(-4)/(-20). Let q = 443 + g. Suppose 3*z - 60 = 48. What is the remainder when q is divided by z?
35
Let i be (2/8)/(-1) + (-185)/(-20). Suppose -3*h = -4*h + i. What is the remainder when 127/5 + 6/(-15) is divided by h?
7
Suppose -4*k - w = -737, -200 = -k + 2*w + 3*w. Let y = k + -172. Calculate the remainder when 115 is divided by y.
11
Let y(d) = d**2 - 4*d - 22. Suppose -108 = 5*k - t + 51, 3*t + 143 = -5*k. Let z = k - -77. Calculate the remainder when z is divided by y(8).
6
What is the remainder when 19 is divided by 705/(-2115) + (172/6)/2?
5
Let g = 157 + -116. Let p = 66 - g. What is the remainder when 10 is divided by ((-3)/2 + 2)*(-5 + p)?
0
Suppose -158 = -3*t - 38. Suppose 17*v - 14*v = 60. Calculate the remainder when t is divided by v.
0
Calculate the remainder when 317 is divided by (-5 - 3)/((-28)/371).
105
Let n = -908 - -944. What is the remainder when n is divided by 18?
0
Let t = 3190 - 3179. Let m(p) = 29*p**3 + p**2 + p - 1. What is the remainder when m(1) is divided by t?
8
Let o(c) = -2*c**3 - 4*c**2 - 28*c - 11. Let f be o(6). Let h = 793 + f. Calculate the remainder when 143 is divided by h.
29
Suppose 5 + 17 = 2*g. Suppose g = 3*c + 4*y, -5*c - 3*y - y = -29. Let d(b) = b**2 - 8*b + 13. Calculate the remainder when 131 is divided by d(c).
21
Let c(m) = 5*m**2 - 115*m + 9. Suppose 4*u - 1 = 7. Suppose 0*g + 10 = u*g. Calculate the remainder when c(23) is divided by g.
4
Calculate the remainder when -2*(4026/(-20) + 8*(-9)/360) is divided by 46.
35
Let q(t) = t**2 - 4*t. Suppose x - z + 10 = 23, 2*z + 50 = 5*x. What is the remainder when 111 is divided by q(x)?
15
Suppose a = -0*a + 194. Suppose 5*v + 4*c - 27 = 0, 987*c = -3*v + 992*c + 105. What is the remainder when a is divided by v?
14
Let t(s) = 3*s**2 + 69*s - 129. Calculate the remainder when 196 is divided by t(2).
7
Let f be (1 + 12/(-8))*4. Calculate the remainder when 38 is divided by -1 + f + 12 + 15/(-5).
2
Suppose -7*b + 4*b + 1245 = 0. Suppose 407*k = b*k - 88. What is the remainder when (-2)/(-9) - (-1101)/27 is divided by k?
8
Let l be (-1)/2 - 130/(-20). Suppose -l = -4*y + 2*y. Suppose 2*w + 4*p - 22 = 0, 0*p = -3*w - 2*p + 29. What is the remainder when w is divided by y?
0
Let c be (-281)/4 + 2 + 7/(-4). What is the remainder when 36 is divided by (-51)/(-3) + (c/(-5))/7?
17
Suppose -5*r + 7 = -8. Let g = -754 - -1105. What is the remainder when g/(-18)*2/(-3) is divided by r?
1
Suppose -243 = 26*f - 35*f. Let d = 332 - -150. What is the remainder when 1/(-5) + d/10 is divided by f?
21
Suppose 3*m = s - 12, -5*s + 6 = 2*m + m. Suppose 2*w + s*r - 5 = 0, -4*w + 3*r + 40 = -15. What is the remainder when 24 is divided by w?
4
Let j(u) = 6*u**3 + 89*u**2 - 13*u + 45. Calculate the remainder when (-2)/(1 + 1) + 80 is divided by j(-15).
4
Suppose n = -2*v + 6*n - 11, -3*v = 5*n - 21. Suppose -k - 26 = -3*i + 41, 23 = v*i - 5*k. What is the remainder when i is divided by 13?
11
Let s be (7/14)/(1/10). Suppose 50 + 260 = s*q. Suppose -5*m = -4*m - 13. What is the remainder when q is divided by m?
10
Let b(s) = 25*s + 324. What is the remainder when 3356 is divided by b(-12)?
20
Let x = -34 - -25. Let p = 24 + x. What is the remainder when 207 is divided by p?
12
Suppose 0 = 2*h - 2*u - 2, -9*u + 4*u + 25 = h. What is the remainder when 119 is divided by ((-2)/(-5))/(h/150)?
11
Let z be -1*37*(5 + -8). Suppose -2835 = -z*a + 90*a. Calculate the remainder when a is divided by 29.
19
Let y = -354 - -704. Suppose 186*a - 176*a - y = 0. What is the remainder when a is divided by 18?
17
Suppose 2*x = 6*r + 788, 4*x - 801 = 2*r + 685. Calculate the remainder when x is divided by 90.
7
What is the remainder when 312*(11/(-4) + (-92)/(-23)) is divided by 113?
51
Suppose 0 = 94*m + 11*m - 155 - 2155. Calculate the remainder when 51 is divided by m.
7
Suppose -175 = -12*o - 2035. Let h = 169 + o. What is the remainder when 193 is divided by h?
11
Let w be ((-11)/(55/(-6)) + -2)*-5. Suppose 4*d + z = 57, 0 = 5*d - 0*z - w*z - 66. Calculate the remainder when d is divided by 4.
2
Let g(l) = 7*l**2 + 6*l - 21. Let b be g(-7). Let v(a) = 7*a**3 - 2*a + 2. Calculate the remainder when v(2) is divided by 6/(-8)*b/(-15).
12
Calculate the remainder when 265 is divided by 3212/66 + 35/15.
10
Let u = -393 - -496. Calculate the remainder when u is divided by 77.
26
Suppose 3*f + 0*f - 36 = 0. Calculate the remainder when 8 - (-66)/(-22) - -53 is divided by f.
10
Suppose 2*k + 0*u = -3*u + 9, -2*u = -3*k + 46. Suppose 18*o - 7292 - 142 = 0. Suppose o = -264*w + 271*w. What is the remainder when w is divided by k?
11
Let x = 196 - -359. Suppose -x = 15*w + 1065. Let q = 120 + w. What is the remainder when 33 is divided by q?
9
Suppose c = -2*o + 16, -o + 5 = 414*c - 413*c. What is the remainder when 2262 is divided by o?
7
Let l(w) = 2833*w**2 - 42*w + 4. Calculate the remainder when l(-1) is divided by 131.
128
What is the remainder when 1221 is divided by 1/(-14 + 5005/357)?
48
Suppose -470 = -p + 622. Suppose -15*q + 3003 + p = 0. Calculate the remainder when q is divided by 25.
23
Let h be (-300)/(-35) - 12/(-28). Suppose -h*i = -29*i + 660. Calculate the remainder when i is divided by 6.
3
Suppose 0 = -2*b - 43*i + 45*i + 176, 0 = -4*b - 5*i + 325. Suppose -8*z + 6*z = v - 15, 4*z + b = 3*v. Calculate the remainder when 47 is divided by v.
1
Suppose 3*z - 2398 = -t, -15*t - z + 9581 = -11*t. What is the remainder when 7190 is divided by t?
5
Calculate the remainder when (22 + -9)/13*197 is divided by 126.
71
Let x = -10558 + 10560. What is the remainder when 386 is divided by x?
0
Suppose 0 = -2*t - 3*o + 12, -4*o - 16 = 5*t - 8*o. Suppose -m - 1 + 38 = t. Calculate the remainder when m is divided by 7.
2
Calculate the remainder when (-434)/(-16) + ((-75)/24 - -3) is divided by (-1 + -2)/((-846)/(-96) - 9).
11
Suppose 37*k - 299 = 34*k + 4*o, -4*o = -4*k + 400. Calculate the remainder when k is divided by 5.
1
Suppose 12 + 52 = 4*k. Let a = k - 38. Let w = a - -35. What is the remainder when 37 is divided by w?
11
Let r = 3450 + -3344. What is the remainder when 1058 is divided by r?
104
Let w = -182 + 258. Suppose -4*d = -13*l + 18*l - w, 5*l + 3*d = 77. What is the remainder when 76 is divided by l?
12
Let i(t) be the first derivative of -26 - t**3 + 1/4*t**4 + 2*t + 3/2*t**2. Calculate the remainder when 18 is divided by i(3).
7
Suppose 4*h = -w + 1489, 2*h - 4*w - 577 = 163. What is the remainder when 1490 is divided by h?
2
Let s(t) = t**2 + 137*t + 1024. What is the remainder when s(-141) is divided by 15?
13
Let q(g) = 20*g**2 + 17*g - 76. Calculate the remainder when q(-9) is divided by 34.
31
Let l = -118 - -111. Calculate the remainder when 9 + l/(-1) - 4 is divided by 11.
1
Let x(q) = q**3 + 8*q**2 + 18*q + 16. Let j be x(-7). Let o = j + 58. What is the rema