Let k = -20 + 24. Let i be (-2 - 1)/((-52)/(-16) - k). Suppose v - i*h = 38 - 8, 75 = 5*v - 5*h. What is the remainder when 29 is divided by v?
9
Let g = 240 + -222. Let f be ((-282)/(-12) - -5)*2/3. Suppose b - 125 = -f. What is the remainder when b is divided by g?
16
Let r(m) = 4*m**3 - 5*m**2 - 3*m - 6. What is the remainder when r(4) is divided by 33?
26
Let s(x) = x**3 + 10*x**2 + 6*x + 22. Let h be s(-8). Suppose -5*b - 62 = -h. Suppose -b*j = 10*j - 144. Calculate the remainder when 30 is divided by j.
6
Let l = -40785 - -40877. Let y = -23 - -35. Calculate the remainder when l is divided by y.
8
Let t = 189 + 40. Let g = -74544 - -74554. What is the remainder when t is divided by g?
9
Let f(m) be the third derivative of 0 + 0*m + 5*m**2 - 7/6*m**3 + 2/3*m**4 + 1/60*m**5. Calculate the remainder when 37 is divided by f(-17).
7
Suppose -374*d + 804 = -184*d - 178*d. Calculate the remainder when 1810 is divided by d.
1
Let l be (9/(-27) - 0)/((-2)/(-564)). Calculate the remainder when (-141)/l*(109 + 1) is divided by 28.
25
Suppose 2*m + 5*n - 223 = 0, 8*m - 104 = 7*m + 5*n. Suppose 5*h - 2*p - m = 0, -2 + 11 = 3*p. Calculate the remainder when 136 is divided by h.
21
Let b = -117 - -241. What is the remainder when b is divided by 46?
32
Suppose 340 - 109 = -3*t. Suppose 5*w = u + 23 + 55, 0 = -4*u - 2*w - 224. Let g = u - t. Calculate the remainder when 55 is divided by g.
17
Let x = 4898 - 4855. Calculate the remainder when 271 is divided by x.
13
Suppose -8*a = -3*a - 65. Suppose -149 = -2*r + a. Let s(k) = -k**3 - 9*k**2 + 20*k - 1. Calculate the remainder when r is divided by s(-11).
18
Let a(y) = -y**3 - y**2 + 18*y - 8. Let l = 88 - 94. Let d be a(l). Suppose -8 = 4*k - d. Calculate the remainder when 110 is divided by k.
12
Let u be ((-1)/(-2))/(13/(-10036)). Let g = u + 425. What is the remainder when 155 is divided by g?
38
Suppose 0 = -3*a - 4 - 2. Calculate the remainder when 5/2*(84 + -70) is divided by (-18)/8*(a - 2).
8
Let n(p) = -251*p - 1675. Calculate the remainder when n(-9) is divided by 13.
12
Let i(a) = -a**2 - 14*a - 23. Suppose 5*x - 35 = -25. Suppose -5*q = 4*g + 52, -x*q = -2*g + 1 - 9. Calculate the remainder when i(g) is divided by 2.
1
Let x be (7 - (-1 - -4)) + -2. Suppose -j - 14 = -x*j. Let v(z) = 77*z + 389. What is the remainder when v(-4) is divided by j?
11
Suppose z + 27*v - 2726 = 23*v, 2*z = -v + 5466. Calculate the remainder when z is divided by 12.
10
Let n be 3*(-4)/12*(-249)/3. Let z = -74 + n. Let h(v) = -3*v**3 - 2*v**2 - 2*v + 2. What is the remainder when h(-2) is divided by z?
4
Let s(o) = -406*o + 239. What is the remainder when s(0) is divided by 85?
69
Let f(k) = 10*k**3 + 2*k**2 - 2*k - 3. Let p be f(-1). Let t(l) = 31*l + 36*l - 13 - 69*l. What is the remainder when 22 is divided by t(p)?
2
What is the remainder when 21437 is divided by 4*2*56/(5264/235)?
17
Let t(l) = -2*l**2 - 60*l + 79. What is the remainder when 4449 is divided by t(-31)?
12
Suppose -3*h - 2*r + 26 = 0, -7*h + 2*h - 2*r + 38 = 0. Suppose 24*p = h*p + 306. Calculate the remainder when 79 is divided by p.
11
Let g = -120 - -123. Suppose 4*m - 41 - 302 = -5*v, 4*v + g*m = 275. Calculate the remainder when v is divided by 12.
11
Let z = 15 - 18. Let b be (2 - 7/2)/(z/(-114)). Calculate the remainder when 60 is divided by (0 + -12)*(4 - b/(-12)).
6
Let i be (2 - 1)*(35 + 0). Calculate the remainder when (-2)/10 + 1 + 427/i is divided by 3.
1
Let a(o) = -o**2 + 6*o + 12. Let t be a(6). Suppose t*w - 13*w + 305 = 0. Calculate the remainder when w is divided by 62.
57
Let q = 49398 - 47223. Calculate the remainder when q is divided by 73.
58
Suppose 27*b = 8*b + 6004. Let n = b - 274. What is the remainder when 332 is divided by n?
38
Suppose -38*f - 24*f = 5672 - 22288. Suppose -5*a + 6 + 84 = 0. What is the remainder when f is divided by a?
16
Let b(i) = i**2 - 4*i + 0*i**2 + 16 - i. Let p(w) = -36*w**2 + 540*w + 8. Let f be p(15). What is the remainder when b(f) is divided by 11?
7
Suppose -619 = 9*o - 790. Calculate the remainder when 93 is divided by o.
17
Calculate the remainder when (-12888)/(-32)*(-9 - (-124)/12) is divided by 263.
11
Suppose 4*g = 5*h + 246, 5*h + 11 = -4*g - 243. Suppose -4*s - 255 = 3*v, -s = 3*s + v + 253. Let r = h - s. What is the remainder when 114 is divided by r?
10
Suppose 4*n + 35*s - 36*s = 26, -2*s = -n + 10. Suppose 5*y = 3*y + 56. What is the remainder when y is divided by (40/n)/((-200)/(-240))?
4
Suppose -5*t = -601 + 126. Let v(c) = c**2 - 9*c + 25. What is the remainder when t is divided by v(9)?
20
Let b(g) = -g**3 + 15*g**2 + 53*g - 173. What is the remainder when b(16) is divided by 88?
67
What is the remainder when 482 is divided by (-2)/6*(109 - 160)?
6
Suppose 4*a = g - 476, -3*a = -4 - 14. What is the remainder when g is divided by 17?
7
Suppose 0 = 2*b + 24 + 18. Let u = b + 31. Calculate the remainder when 30 + 13/(78/54) is divided by u.
9
Suppose -32*h + 1954 = -29*h + 5*d, 4*d = h - 657. Calculate the remainder when h is divided by 68.
41
Let l = 0 + 0. Suppose 3*n - 56 = -5*o - 0, 4*o = 4*n + 32. Suppose a - m = 2*a - o, a - 2*m - 4 = l. What is the remainder when 25 is divided by a?
1
Suppose 2*d + 70 = 2*r - 2, -4*r = -2*d - 134. What is the remainder when 277 is divided by r?
29
Let p = 7590 + -7529. Calculate the remainder when 1890 is divided by p.
60
Calculate the remainder when (((-99)/15 + 6)*-34)/((-6)/(-20)) is divided by 11.
2
Let x be (2 + 1)*(-2)/(-3). Suppose 6*d = -6, 2*c + 3*d + 8 = 3. Calculate the remainder when 76 is divided by (x + -3 + c)/(2/(-13)).
11
Let g(h) = 6*h**2 - 1054*h - 4236. What is the remainder when 478 is divided by g(-4)?
22
Suppose 2*u + 789 = -4*q + 3289, 4*q - 6232 = -5*u. Calculate the remainder when u is divided by 613.
18
Let t(x) = -x**3 - 3*x**2 - 3*x. Let a be t(-4). Suppose 0*s - 2*s + a = 0. Suppose 0 = -2*y - 11 + 117. Calculate the remainder when y is divided by s.
11
What is the remainder when 916 is divided by (-13 - -28)*(-414)/(-54)?
111
Suppose -3*a - 73 = u - 213, 0 = -a + 2*u + 49. Suppose -54*y + 105 = -a*y. What is the remainder when 89 is divided by y?
14
Let q = -838 - -1019. Calculate the remainder when q is divided by 94.
87
Let k(o) = -o**3 + 7*o**2 + 3*o - 7. Let u be k(7). Suppose -u*j = -137 - 171. Calculate the remainder when 62 is divided by j.
18
Let a(d) = 205*d + 3322. Calculate the remainder when 1087 is divided by a(-16).
37
Suppose 11*x - 37 + 4 = 0. Suppose 12*p + x*p = 120. Calculate the remainder when 31 is divided by p.
7
Suppose 144 - 645 = 63*m - 9762. Calculate the remainder when m is divided by 38.
33
Let x(g) = -15*g + 10020 - 10020. Suppose 2*b - 51 - 181 = 0. What is the remainder when b is divided by x(-1)?
11
Suppose 2*w = -3*q + 21, 3*q - 3 = w - 18. Suppose 25 = -5*y, 9*z - w*z + 41 = -4*y. What is the remainder when 31 is divided by z?
3
Let m be 3 + (1 - 1) - -13. Suppose 0 = -m*j + 422 + 378. Suppose -q + 76 = 4*q + 2*w, j = 3*q - w. Calculate the remainder when 31 is divided by q.
15
Suppose -172*f = -429*f - 310*f + 204120. Calculate the remainder when f is divided by 16.
8
Suppose c + 5*k = -14, 10*c - k = 8*c + 5. Let w(r) = 16*r. What is the remainder when 75 is divided by w(c)?
11
Suppose -n - 6 = -4*f - 1, -4*n = -f - 25. Suppose n*k + 38 = 108. Calculate the remainder when 129 is divided by k.
9
Suppose 438*r - 435*r - 3*z = 33, 0*z = 3*z. What is the remainder when 290 is divided by r?
4
Suppose 3*w - 7*w + 3*k = -109, -5*k - 15 = 0. Let f(z) = -z**2 + 34*z + 37. What is the remainder when f(w) is divided by 19?
15
Let w = -384 + 556. Suppose -84*d = -80*d - w. What is the remainder when 80 is divided by d?
37
Let m(a) = a**2 + 15. Let o(c) = 2221*c + 31098. What is the remainder when m(0) is divided by o(-14)?
3
Let a = -24223 - -24707. Calculate the remainder when a is divided by 82.
74
Let l(b) = -3 - b**3 + 8*b**3 + 8*b**2 - 6*b**3 + 3*b + 2*b. Let x = -103 - -157. Calculate the remainder when x is divided by l(-7).
10
Let r(d) = 12*d**2 - 15*d + 43. What is the remainder when 386 is divided by r(-3)?
190
Suppose 0*c = 22*c - 2904. Let b = -78 + 148. Calculate the remainder when b is divided by 4/(-6)*(-7326)/c.
33
Let r(w) = -12*w - 12. Let n(h) = -h + 1. 