 Suppose -4*y + 17 = s, -2*s + 52 = y + y. What is the remainder when s is divided by z(p)?
7
Let c(f) = f**3 + 5*f**2 - 10*f - 23. Let d be c(-5). Suppose 24*z + 39 = d*z. What is the remainder when 40 is divided by z?
1
Let u(z) = -z**3 - z**2 + 2*z + 4. Let l be u(0). Suppose 4*w + 93 - 14 = 5*s, -l*s - 3*w + 57 = 0. What is the remainder when 73 is divided by s?
13
Suppose b + 220 = 3*b. What is the remainder when b is divided by -6*(-3)/6*3068/156?
51
Let q(v) = v**2 - 12*v + 20. Let p be q(10). Suppose -2*f + 186 - 176 = p. Calculate the remainder when 9 is divided by f.
4
Suppose -78 = 26*z - 32*z. Suppose -5*t = -15, 0*t + 108 = 3*q - t. Suppose -q = -0*s - s. What is the remainder when s is divided by z?
11
Suppose -45*r + 34170 = -32160. What is the remainder when r is divided by 10?
4
Suppose 2*r + 0 - 13 = -a, 3*r - 21 = -2*a. Suppose 4*x = 4*t + 180, 93 = -5*t - r*x - 182. Let o = -28 - t. What is the remainder when 63 is divided by o?
19
Let h = -30260 + 33856. Calculate the remainder when h is divided by 10.
6
Let u(x) = 3*x**3 - 23*x**2 - 4*x - 26. Let m be u(8). Suppose -5*t + 235 = 5*s, -157 = -3*s + 11*t - m*t. Calculate the remainder when 164 is divided by s.
17
Calculate the remainder when 134 is divided by (3068/295)/((-8)/(-10)).
4
Let l = 27007 + -26996. Calculate the remainder when 8500 is divided by l.
8
Let u(l) = l**3 - 9*l**2 - 14*l - 14. Let g be u(10). Suppose -4*z = -58 - 154. Calculate the remainder when z is divided by (3 - 7)/(12/g).
17
Let w(s) = s**2 + 5*s + 83. Let q be w(27). Suppose 3*i = -4*v + q, i = v + 272 + 39. What is the remainder when i is divided by 35?
33
Suppose 5*x - 6 = 9. Let k(s) = -7*s**2 - 152*s + s**x - 2*s**2 - 6 + 148*s. Calculate the remainder when k(10) is divided by 14.
12
Suppose -3*x + 90 = 5*t, -2*t - 13*x = -10*x - 27. Let h = -48 - -151. What is the remainder when h is divided by t?
19
Let j = -5 + 16. Let t(m) = -m**3 + 19*m**2 - 37*m - 156. What is the remainder when t(8) is divided by j?
10
Let m(f) = -f**3 + 15*f**2 + 38*f - 51. Calculate the remainder when 3908 is divided by m(17).
15
Let r = -36 - -41. Let c(b) = b**3 - 2*b**2 + 21*b - 72. Calculate the remainder when c(r) is divided by (57/(-2))/(3/(-4)).
32
Let k be (-1 + -23)*(-3)/2. Let g = k + -25. What is the remainder when 1*-58*1/(-2) is divided by g?
7
Suppose 0 = -0*w + 5*w - 5*d - 1315, -5*d + 829 = 3*w. Let z = w + 596. Calculate the remainder when z is divided by 51.
48
Let v(p) = -261*p - 109. Calculate the remainder when 594 is divided by v(-1).
138
Calculate the remainder when (19681 - -134) + (3 - -17) is divided by 29.
28
Let u = -5 - -7. Let j(m) = 6*m**2 - 2*m + 1. Let p be j(1). Suppose 0 = 53*t - 48*t - p. Calculate the remainder when u is divided by t.
0
Let i be (-43)/(-2) - (-17)/(-34). Suppose -23*f + 382 = -i*f. Calculate the remainder when f is divided by 24.
23
Suppose 56*b + 4*b = -15*b + 9075. What is the remainder when 714 is divided by b?
109
Suppose -a = 5*a - 330. Let w be 1 - (-3 + a) - -3. Calculate the remainder when (-1360)/w - (-1)/(-3) is divided by 8.
4
Let i = -6247 - -6344. Calculate the remainder when 578 is divided by i.
93
Let s(v) = -5*v - 1. Let f be s(-3). Suppose 26 = -f*d - 30. Calculate the remainder when ((-236)/8*d)/2 is divided by 15.
14
Let x be (12 + -13)/(1/(-7)). What is the remainder when ((-106)/(-4))/(x + (-26)/4) is divided by 11?
9
Let b be (2*1)/(-10) + (-15189)/305. Suppose 0*p + p + 2*n = 4, 4*p - 81 = 5*n. Calculate the remainder when -2*1 - (-5 + b) is divided by p.
11
Suppose 19*x - 191720 = -305*x - 39440. What is the remainder when x is divided by 48?
38
Suppose 0 = -4*i - 18 - 26. Let t(s) = 2*s**2 + 10*s - 14. Let y(j) = 2*j**2 - 6*j - 56. What is the remainder when t(i) is divided by y(8)?
22
Let u(q) = q**3 + 6*q**2 - 8*q - 16. Let l be 1/((-33)/204) - (-8)/44. What is the remainder when u(l) is divided by 7?
4
Let g = -19822 + 34625. What is the remainder when g is divided by 22?
19
Let r(z) = 91*z**3 + 1. Let q be r(-1). Let l be (-36)/q + 326/10. Suppose l = 5*m + 8, -4*b = 5*m - 125. What is the remainder when b is divided by 14?
11
Suppose -22*o = -17*o - 5*f - 535, -844 = -8*o + 5*f. What is the remainder when 135 is divided by o?
32
Suppose y = 3*g - 73, -2*g + 3*g = -5*y + 51. Suppose -1855*v + 1850*v - 45 = 5*c, -4*v - 40 = 2*c. What is the remainder when g is divided by c?
0
Suppose -5*u + 0*m = 4*m + 246, -u - 5*m - 66 = 0. Let f = u - -83. Let g(s) = s**2 - 2*s. What is the remainder when f is divided by g(5)?
7
Let i(k) = -534*k + 9. Calculate the remainder when 809 is divided by i(0).
8
Let f(d) be the first derivative of -d**3/3 + 5*d**2/2 + 6*d - 21. Let t be f(6). Calculate the remainder when (3 - (53/2 + t))*-2 is divided by 7.
5
Calculate the remainder when 146 is divided by (-6 - (-90)/15) + 2/(-2)*-117.
29
Let p = -18 - -20. Suppose 2*g - 41 = -4*y - 3, -5*y - p*g = -45. Suppose 2*l - y*l + 285 = 0. Calculate the remainder when l is divided by 12.
9
Suppose -2*h - 5 = -f, 2*h - 8 = 6*h. Let n be 2/(-5)*-25 - (0 - f). Suppose n*d + 13 = 464. What is the remainder when d is divided by 11?
8
Suppose -26*u + 7800 = 190*u + 84*u. Let d = -47 + 83. Calculate the remainder when d is divided by u.
10
Suppose 83 - 305 = -14*j + 520. Calculate the remainder when 467 is divided by j.
43
Let u(p) = p**2 - 21*p - 3879. Calculate the remainder when 571 is divided by u(75).
58
Suppose -56*h + 1666 = -42*h. Let s = 949 + -887. What is the remainder when h is divided by s?
57
Let n = -61 - -36. Let c = 37 + n. Calculate the remainder when c is divided by 5.
2
Let x(c) = -c**3 - 8*c**2 + 10*c + 13. Let o be x(-9). Suppose -486 = -o*u + 58. What is the remainder when u is divided by 35?
31
Suppose -1335 - 3689 = -204*b + 2728. Calculate the remainder when 3828 is divided by b.
28
Suppose i - 13 = -4*b, b + 3*i = -b + 19. Suppose -103 = c - b*c. Let u = 12492 - 12440. What is the remainder when c is divided by u?
51
Suppose 6*h + 57 = 165. Suppose 43 = 4*c - 3*u - 34, c = 2*u + h. Suppose -q + 39 = 2. Calculate the remainder when q is divided by c.
17
Let h be ((-8)/(-40)*2)/((-4)/(-10)). Let q(t) = 62*t**3 + t**2 + 2*t - 3. What is the remainder when q(h) is divided by 11?
7
Suppose -5*x + 0*x + 120 = 0. Let c(k) = k**2 + 14*k + 53. Calculate the remainder when x is divided by c(-4).
11
Let o = 64 + -170. Let c = 116 + o. Calculate the remainder when 44 is divided by c.
4
Suppose 47*w = 2235 + 7071. Calculate the remainder when 599 is divided by w.
5
Let x be 1*-2*3/(-2). Suppose -6*r + x*r = -39. Suppose -40*t = 64*t - 3432. Calculate the remainder when t is divided by r.
7
Let v = 8543 + -8470. What is the remainder when v is divided by 31?
11
Suppose 4*h = -4*f + 328, f = -5*h - 46 + 144. Suppose 10*y = f - 48. Calculate the remainder when y is divided by (3/(-4))/(-1)*4.
0
Let b(o) = -13*o - 27. Let h(r) = -r**2 + 7*r - 16. Let u be h(4). What is the remainder when b(u) is divided by 7?
4
Let w be 24/228 - (-3441)/(-19). Let d = 203 + w. What is the remainder when 230 is divided by d?
10
Suppose -3*l = -18*r + 17*r - 52, -l = 5*r - 44. Calculate the remainder when ((-15)/5)/((-2)/50) is divided by l.
18
Let u(o) = 5*o**2 + 471*o + 1865. Calculate the remainder when u(-4) is divided by 53.
8
Let y be 4/(-3)*(-9)/30*-125. Let t = y + 69. Suppose 83 = 20*i - t*i. Calculate the remainder when i is divided by 12.
11
Let a = 4127 + 15299. Calculate the remainder when a is divided by 335.
331
What is the remainder when 367 is divided by (-228)/(-190)*(-40)/(-12)*201/4?
166
What is the remainder when 433 is divided by 15/2 + 20/((-920)/69)?
1
Let a(q) = 2*q**2 - 15*q + 55. What is the remainder when a(23) is divided by 110?
108
Let f be (-1)/(-3 + ((-200)/(-12))/5). Calculate the remainder when 51 is divided by ((-16)/72*-30)/((-1)/f).
11
Suppose -5*o - 4 = -3*r + 9, -3*r + 2*o + 43 = 0. Let m(g) = 15*g**2 + 5*g + 4. Calculate the remainder when m(-3) is divided by r.
19
Let s be ((-1)/(-3))/(3/(-117)). Let w = s + 27. Suppose -256 = -170*y + 166*y + 240. Calculate the remainder when y is divided by w.
12
Let g = -199 - -210. Suppose -20*f + 2115 = -g*f. What is the remainder when f is divided by 14?
11
Let n(w) = -2*w**3 - 11*w**2 + 6*w + 7.