) = -4*t(g) + 7*w(g). What is the remainder when y(2) is divided by 23?
1
Suppose 3*q - 119 = -0*q + 4*c, -3*q = -3*c - 123. Let n = 209 - 210. What is the remainder when 57 is divided by q/6*n*-2?
12
Let x be -6 + (1 - 3)/6*-12. Let u be ((-10)/x)/(-5 - (-24)/4). Suppose -49 - 111 = -u*z. What is the remainder when 158 is divided by z?
30
Suppose 3*f - 3*m = -36, 4*f - m + 56 = -f. Let d = 65 + f. Calculate the remainder when 212 is divided by d.
50
Let j = -6717 - -6910. Calculate the remainder when 724 is divided by j.
145
Let c(s) be the third derivative of s**6/40 + s**5/60 - 5*s**4/24 - 5*s**3/6 - 101*s**2. Calculate the remainder when c(3) is divided by 15.
10
Let q = 24 + -38. Let m = q + 57. What is the remainder when 170 is divided by m?
41
Let y = 12723 + -12719. Calculate the remainder when 1*3/(-3) + 83 is divided by y.
2
Suppose 0 = 3*k - 12, 960*o + 3*k + 194 = 962*o. What is the remainder when 397 is divided by o?
88
Suppose 77 = -15*o + 242. Suppose 0 = -o*k - 92 + 334. Calculate the remainder when 40 is divided by k.
18
Let m be (-33654)/(-45) - -5 - (-16)/120. Let t = m - 589. Calculate the remainder when t is divided by 15.
14
Suppose -3*r - 5*r = -40. Suppose -a - 2 = -r. Suppose -6*v - a = -351. Calculate the remainder when v is divided by 20.
18
Let m = 43 + -19. Let s(q) = q**3 + 2*q**2 - 17*q - 4. Let o be s(-5). Suppose 654 = 4*l - 2*r, -r - o = -3*r. What is the remainder when l is divided by m?
21
Let g be 7217/5 + -7*(-12)/140. Suppose -35*l = 3*l - g. What is the remainder when 173 is divided by l?
21
Let g(n) = 8*n + 26*n + 17*n + 1. What is the remainder when g(1) is divided by (34 - 1)*(376 - 381)/((-110)/12)?
16
Let h = 52 + -37. Let f(i) = -i**2 - i + 3. Let r be f(0). Let l(j) = j**3 - 3*j + 8. Calculate the remainder when l(r) is divided by h.
11
Suppose -34680 = -95*d + 33*d - 40*d. Calculate the remainder when 351 is divided by d.
11
Let r(g) = 2*g**3 + 21*g**2 - 11*g + 2. Let a be r(-10). Let q = -199 + a. Calculate the remainder when 232 is divided by q.
11
Suppose 3508*j = 3501*j + 1512. Calculate the remainder when j is divided by 53.
4
Let r(d) = 23*d + 787 - 400 - 400 - d**2. Calculate the remainder when 78 is divided by r(22).
6
Let v = 21 - 24. Let d be 3/(-3)*-87 + -2 + v. Let y = 125 - d. Calculate the remainder when 127 is divided by y.
41
Suppose 0 = -24*t - 2*t - 642 + 1240. What is the remainder when 707 is divided by t?
17
Suppose 9*o + 2*y = 8*o + 33, -5*o + 140 = 5*y. Let d(i) = 35*i**2 - 2. Calculate the remainder when d(-2) is divided by -5 - ((3 - -1)/(-2) - o).
18
Let o(g) = g**2 - g. Let d(u) = -5*u**2 + 8*u + 5. Suppose 4*j + 2*j - 6 = 0. Let y(b) = j*d(b) + 6*o(b). What is the remainder when 56 is divided by y(-6)?
27
Suppose 19*o = -8*o - 108. Calculate the remainder when 53 is divided by (7 + 53)/((o + 5)*2).
23
Let f(v) = v**3 + 122*v**2 - 1180*v + 29. Calculate the remainder when f(-131) is divided by ((-26)/2)/(1/(-3)).
4
Let x(y) = 4*y**2 - 41*y - 79. What is the remainder when 475 is divided by x(14)?
82
Suppose -3*t - 2*w + 63 + 26 = 0, 3*w = -4*t + 119. What is the remainder when t is divided by (25/(-75))/((-1)/36)?
5
Suppose -5*q = -4*p + 1528, 2*q + 272 = 256. Calculate the remainder when p is divided by 106.
54
Let w = -48 + 69. What is the remainder when (-12)/7*77/(-2) is divided by w?
3
Let h = -3000 + 3121. What is the remainder when 250 is divided by h?
8
Suppose 593*f - 15184 = 9*f. Calculate the remainder when 2442 is divided by f.
24
Suppose l - 3*z - 5 = 24, l - 2*z - 31 = 0. What is the remainder when 767 is divided by l?
32
Let l be 1*13676/14 + (-2)/(-14). Let u(o) = -13 + 969*o + o**3 + 1 - l*o - 6*o**2. What is the remainder when u(8) is divided by 14?
10
Suppose 0 = 2*b - i + 4*i - 34, -b = 3*i - 17. Calculate the remainder when b is divided by 15.
2
Let f(i) = 2*i**2 + 28*i - 45. Let v be f(-16). Let n = 90 - v. What is the remainder when n is divided by 15?
11
Let j(c) = c - 49. Let u be j(22). Let q(i) = 2*i + 48. Let h be q(u). Let k(t) = t**3 + 7*t**2 + 5*t + 8. Calculate the remainder when k(h) is divided by 6.
2
Let d(c) = -2*c + 14. Let r(w) = w**2 - w. Let u(q) = -d(q) + 3*r(q). What is the remainder when 118 is divided by u(4)?
28
Calculate the remainder when 371 is divided by 120 + 4 + (-33)/(-15 - -4).
117
Let b(i) be the first derivative of -i**3/3 - 5*i**2 - 2*i + 81. Calculate the remainder when 197 is divided by b(-4).
21
Let g = -42 + 44. Suppose 2*u = 6*s - 4*s - 38, 5*s = -g*u - 17. Calculate the remainder when 124 is divided by 3*(-249)/(-36) + (-4)/u.
19
Let v = -3826 + 4279. What is the remainder when v is divided by 58?
47
Let i be ((-3)/(-6) - -2)/((-2)/(-780)). What is the remainder when 138 is divided by (-1)/9*1 + i/27?
30
Suppose 3*x + 76*q - 189 = 73*q, -132 = -2*x - q. What is the remainder when 156 is divided by x?
18
Suppose 5 + 10 = -5*y, -4*q + 2*y = -250. What is the remainder when (q - 86)*((-38)/10 - -1) is divided by 37?
33
Let v be (-2 + (-11)/5)/(20/(-100)). Suppose -15*r + 29 = -12*r + l, 0 = 2*r - l - v. Suppose 0 = -4*s + 14 - r. Calculate the remainder when 7 is divided by s.
0
Let a(h) = -h**3 + 14*h**2 + 7*h - 99. Let z be a(14). What is the remainder when z + 1/(-2)*-570 + -5 is divided by 40?
39
Let w = -3 + 87. Suppose 23*k = 11*k + w. Calculate the remainder when 12 is divided by k.
5
Let j be ((-5)/(-20))/((-5)/8)*-5. Suppose -6*x - 13 = -3*u - j*x, 3*x = u - 1. Calculate the remainder when 27 is divided by u.
6
What is the remainder when (2/2)/((154/462)/((-692)/(-6))) is divided by 34?
6
Let v = -1114 + 1116. Let f be (48/20)/(2/15). Suppose -w + f = 2*w. Calculate the remainder when w is divided by v.
0
Let i = 22244 - 20756. What is the remainder when i is divided by 88?
80
Suppose 2725 = 12*f + 169. Suppose 2 + 11 = d + 5*p, 41 = 2*d - 5*p. Calculate the remainder when f is divided by d.
15
Let g(r) = -4*r - r**3 + 0*r**2 - 3*r**2 - r**2 + 8 + 2*r**2. Let d = -86 - -122. Calculate the remainder when g(-5) is divided by d.
31
Let a = -7520 - -9079. What is the remainder when a is divided by 142?
139
Let j(t) = 136*t - 14. Let x be j(3). Suppose 5*z = x + 256. Calculate the remainder when z is divided by 7.
4
Suppose -8*x - 2203 = -6787. Calculate the remainder when x is divided by 21.
6
What is the remainder when 1136 - 70/(10/(-1)) is divided by 88?
87
Suppose -7*a = 431 + 955. Let t = a + 254. What is the remainder when t is divided by 41?
15
Suppose -20*v + 15*v + 275 = 0. Suppose 3*m = 5*n + v, -3*m + 4*n = -6*m + 64. Calculate the remainder when 53 is divided by m.
13
Calculate the remainder when ((-13279)/(-3))/((-119)/(-357)) is divided by 166.
165
Let z = 1883 + -1869. What is the remainder when 1860 is divided by z?
12
Suppose -33 = -f + t, 3*t = -5*f + 186 - 61. Calculate the remainder when 145 is divided by f.
5
Suppose -o = 2*u - 167, -u - 2*u = 3*o - 255. What is the remainder when 89 is divided by (83 - u)*15*1?
14
Let g = 731 - 459. Suppose 0 = 5*f - 21*f + g. Calculate the remainder when 33 is divided by f.
16
What is the remainder when -5*(-10)/50*-25*(-114)/30 is divided by (20/2)/((-1)/(-5))?
45
What is the remainder when 210 is divided by 3*(325/39 + 5)?
10
Suppose 36*l = -2581 + 3013. What is the remainder when (10/(-15))/((-2)/603) is divided by l?
9
Suppose 0 = -1765*a + 1815*a - 2850. What is the remainder when 130 is divided by a?
16
Let v = -706 - -706. Suppose m = -4*h + 5*h - 21, v = 4*h + 2*m - 78. Calculate the remainder when 39 is divided by h.
19
Let k = -3628 - -4064. What is the remainder when k is divided by 22?
18
Let n = 16482 + -16420. Calculate the remainder when 169 is divided by n.
45
Let y(f) = 2*f + 22. Let h be y(-8). Suppose 10*u - h*u = 4. What is the remainder when u/((-5 + 10)/235) is divided by 12?
11
Let v be 0/((-3)/(-6) + 15/(-6)). Suppose v = -32*g + 35*g - 75. Let y(d) = 68*d**2 - d. What is the remainder when y(1) is divided by g?
17
Let z = -10463 + 10507. Suppose 0*v + 2*v - 24 = -5*d, 0 = 5*v - 4*d - 60. Calculate the remainder when z is divided by v.
8
Let s(u) = 4*u**2 - 5*u + 4. Let a = -121 - -107. What is the remainder when s(3) is divided by -14*(-7)/a + 23?
9
Let p(y) = -y**2 - 37*y - 222. Suppose 6*v + 3*v + 144 = 0. What is the r