Let t(s) = 12*s + 10. Suppose -587 = -9*v + 565. Let n = v + -101. Calculate the remainder when t(8) is divided by n.
25
Suppose 8*h = 4*y - 2*y + 1586, 0 = 2*h + 2*y - 394. What is the remainder when h is divided by 71?
56
Calculate the remainder when 315 is divided by (-36)/(-45)*(-30)/(-4)*35/6.
0
Suppose 23*x - 21*x + n - 4 = 0, 4*n = 5*x - 10. Suppose 6 = -c + v + 69, x*c + v - 117 = 0. Calculate the remainder when c is divided by 9.
6
Let c = 255 + -210. Suppose 0 = 4*x - 9*x - 4*q - 1, 5*q + 23 = x. Suppose x*w - j = 27, 5*j + 26 = 5*w - 29. Calculate the remainder when c is divided by w.
5
Let i(k) be the first derivative of 45*k**2 + 61*k + 171. Calculate the remainder when i(2) is divided by 11.
10
Let t(o) = -4*o + 13. Let h(p) = -2*p**3 + 12*p**2 - 5. Let z be h(6). Suppose 2*n - 4 - 32 = 0. What is the remainder when t(z) is divided by n?
15
Suppose -1 = 5*i + 4. Let u(g) = -29*g**2 - 472*g - 15. What is the remainder when u(-16) is divided by 24 + (1 - 3 - i)?
21
Suppose 827 - 1099 = -8*f. What is the remainder when 81 is divided by f?
13
Let h(n) = n**2 + 4*n - 8. Let b(k) = -k**2 + 38*k - 249. Let s be b(37). Let v = s - -263. Calculate the remainder when v is divided by h(-7).
12
Let d(q) = -8*q + 118. Calculate the remainder when -5 + (-4 + 3)/1*-303 is divided by d(11).
28
Let t = 660 - 656. Suppose -237 = t*r - 2181. Calculate the remainder when r is divided by 61.
59
What is the remainder when (-348)/(-9)*(-45)/(-20) is divided by 36 + 6 + 1 + -7?
15
Suppose 53 - 200 = 3*j. Let o = 13 - j. Suppose -18 = -2*h - 2*p - 0, 0 = 5*h + 2*p - 51. What is the remainder when o is divided by h?
7
Let v be 5*390/5 + 3. Suppose -5*a = 1018 - v. Let o = a + 199. Calculate the remainder when o is divided by 11.
8
Let l(h) = h**2 - 16*h - 40. Let n be l(-3). Suppose -n*o + 19*o - 4*s - 38 = 0, -2*s = -2. Calculate the remainder when 52 is divided by o.
10
Let w = 6800 + -6726. What is the remainder when 517 is divided by w?
73
Let p(o) = -283*o - 5646. Calculate the remainder when 1144 is divided by p(-20).
10
Let r(u) = 12*u**2 + 101*u - 93. Let f(t) = -5*t**2 - 50*t + 48. Let l(g) = -7*f(g) - 3*r(g). Calculate the remainder when 80 is divided by l(45).
14
Let q = -129 + 172. Suppose 0 = 2*w - 4*m + 9*m - 1128, 2*w = -m + 1112. What is the remainder when w is divided by q?
38
Let m(q) = -8*q + 19. Let b be m(0). Suppose -b*f - 697 = -36*f. What is the remainder when 122 is divided by f?
40
Let a(k) = 40*k - 142. Let j be a(8). Let g = 184 - j. Calculate the remainder when -2 - (-7)/((-14)/(-24)) is divided by g.
4
Let q = 279 + -199. Suppose -51*t + 5*c - 60 = -56*t, 3*t = 5*c + 116. Calculate the remainder when q is divided by t.
14
Let c(a) = 19*a**2 + 6*a + 6. Let n be (-3 - 0) + 2 + (-9)/(-3). Let y = n + 20. Calculate the remainder when c(-2) is divided by y.
4
Suppose -5*d + 20 = -3*d. Suppose 6*w + d = 11*w. What is the remainder when 29 is divided by (-3 + (w - 1))*-4?
5
Let y(d) = 2 - 42*d - 4 + 3 + 62*d. Calculate the remainder when 30 is divided by y(1).
9
Suppose -102*f - 56*f = -55616. What is the remainder when f is divided by 169?
14
Let w(l) = -3*l**3 + 4*l**2 + 13*l - 13. Let a be w(-8). Suppose -18*i + a = 73. Suppose -3*j + 37 + 56 = 0. What is the remainder when i is divided by j?
27
Suppose h - 27 = -2*g, 3*g + 10 = 25. Calculate the remainder when 576 is divided by h.
15
Suppose 0 = -10*w + 3*w - 84. Let b = 34 + w. Suppose 9*q - q - 48 = 0. Calculate the remainder when b is divided by q.
4
Let t be ((-286)/(-4))/(13/52). Suppose 2*c = c + 2*l + 50, 0 = 5*c - l - t. What is the remainder when c is divided by (-9)/((-9)/(-30)*-1)?
28
Suppose -13*s + 921 + 3246 + 123 = 0. What is the remainder when s is divided by 83?
81
Let s(i) = i**2 - 21*i + 118. Calculate the remainder when (-210)/(-13) + (-8)/52 is divided by s(9).
6
Let w(o) = -o**3 - 10*o**2 - 106. Let g be 118/5 - (40/(-25))/4. Let v = g + 4. Calculate the remainder when v is divided by w(-11).
13
Suppose 54*n - 5208 = 47*n. Suppose -3*m - 5*h + 744 = -3*h, 4*h = -3*m + n. Calculate the remainder when m is divided by 42.
38
Let i be (596/10 - 0) + (-20)/(-50). Suppose -16*u - i = -924. Calculate the remainder when u is divided by 29.
25
Let t(b) = -25 - 52 - 103 - 86 - 194*b. What is the remainder when t(-3) is divided by 11?
8
Let f(l) = -l**3 - 10*l**2 + 8*l**2 + 5*l + 0*l. What is the remainder when f(-4) is divided by 7?
5
Suppose -18*k + 185 = -13*k. Suppose 0 = 5*p + 4*b - 1078, 0 = 5*p - b - 230 - 863. What is the remainder when p is divided by k?
33
Let k(z) = -83*z + 562. Calculate the remainder when 4859 is divided by k(6).
59
Let m = -151 - -290. Suppose 0 = 2*p + 3*j - 75, -5*p + 165 = -2*j + 6. Calculate the remainder when m is divided by p.
7
Let s = -15141 - -15223. Calculate the remainder when 1466 is divided by s.
72
Suppose -31*k = 23*l - 21*l - 53, -l - 5*k = -16. What is the remainder when (-1833)/(-21) + (-2)/7 is divided by l?
10
Let m = 19 - 25. Let h(c) be the second derivative of -c**3 + 51*c**2/2 - 10*c - 9. Calculate the remainder when h(m) is divided by 30.
27
Let j = 14 - 12. Suppose -3*w = -125 - 76. Suppose 5*s = g + 286, j*s = -5*g + w + 69. What is the remainder when s is divided by 20?
18
Suppose 118 = -3*j - 185. Let f = 196 + j. What is the remainder when f is divided by (64/(-112))/((-6)/252)?
23
Let n(g) = -656*g - 12456. Suppose 5*r = -2*u + 7*u - 25, -2*u + 7 = -r. What is the remainder when 1/u - (-186)/4 is divided by n(-19)?
7
Let r(l) = -l**2 - 98*l - 485. Calculate the remainder when 11186 is divided by r(-92).
64
Let l(p) = p**3 + 14*p**2 - p - 32. Let v be l(-13). Let o be (-3)/(-6) + 35/10. Suppose -o*k + 6*k - v = 0. What is the remainder when k is divided by 19?
18
Let j = 174 + -57. Let c = j + -112. What is the remainder when 59 is divided by c?
4
Suppose 2*i + s = 431, 12*s = 17*s - 15. What is the remainder when 1923 is divided by i?
211
Suppose 3*k + k - u - 5 = 0, 5*k = u + 5. Let c(q) = k*q + 3*q**2 - 2 - 5*q + 2*q. What is the remainder when 62 is divided by c(-2)?
14
Calculate the remainder when 322 is divided by (-11)/(5/180*-3*(-3 + 7)).
25
Suppose 403*j - 84535 = -58*j - 122*j. What is the remainder when 11452 is divided by j?
142
Calculate the remainder when 21906/72 + (5/2)/(15 - 17) is divided by 147.
9
Suppose 226 = 3*q - 4*u - 1628, 4*q = u + 2472. What is the remainder when q is divided by 78?
72
Suppose -59*p = -68*p + 117. Calculate the remainder when 53 is divided by 4392/156 - 2/p.
25
Suppose -1590 = -16*h - 534. What is the remainder when h is divided by ((-30)/(-9) + -3)/(2/156)?
14
Suppose -d = 3 - 5. Let t be (-2 + 15/9)*(-9 - 384). Let g = t - 129. Calculate the remainder when d is divided by g.
0
Let a be (-10)/(-4)*(-2772)/(-30). Let o = a - 226. Let x(z) = 10*z - 7. What is the remainder when x(5) is divided by o?
3
Let r = -219 + 222. Suppose r*m + 2*m + 5 = 0, 5*z - 3*m = 528. Calculate the remainder when z is divided by 12.
9
Let s = -10 - -48. Let i be 8/(8/(-7))*1. Let k(f) = -12*f - 76. Calculate the remainder when s is divided by k(i).
6
Let p be (-12 + 10 - -3)*(0 + 70). Let h be 0 - (5 - 3)*-25. Let b = p - h. What is the remainder when 76 is divided by b?
16
Let k(d) = 3*d**2 - 148*d - 613. Suppose 2 = -0*y + y. Calculate the remainder when (19 + -2 - y)*7 is divided by k(-4).
24
Suppose 0 = -3*k + 3*j + 135, 905*k = 901*k - 5*j + 207. What is the remainder when 1919 is divided by k?
47
Suppose -83*a + 800 + 186 = 73. What is the remainder when 5674 is divided by a?
9
Suppose 7*n + 4 = -10. Let t = 1 - 2. What is the remainder when 68 is divided by -6*(t + n) - 4?
12
Suppose b - 2*x + 210 = 0, -3*x - 280 = -4*b - 1140. Let z = 23 - b. Calculate the remainder when z is divided by 27.
25
Suppose 20*c + 14*c = -c + 134295. Calculate the remainder when c is divided by 80.
77
Suppose 0 = 8*n - 12*n + 88. Suppose n = q - 5*i, i = 3*i + 10. Calculate the remainder when 101 is divided by 2/(-10) + q + (-552)/(-10).
49
Let x(h) = h + 11. Let l be (12/7)/((-5)/(245/14)). Calculate the remainder when 71 is divided by x(l).
1
Let y(j) = 418*j - 5000. What is the remainder when y(15) is divided by 71?
63
Suppose 3*y - 3*m = 177, -5*m = -55*y + 57*y - 104. What is the remainder w