4?
29
Suppose 3*x = n, -9 = -n - 2*n. Let p be 1/1 + 2/x. Suppose p*i = -8 + 98. What is the remainder when i is divided by 12?
6
Let y be 0 + -7 + -51 + 39. What is the remainder when 64 is divided by 54*((-19)/6)/y?
1
Suppose 5*q + 550 = 6*r - r, 3*q - 2*r = -334. Let x = q + 129. What is the remainder when 673 is divided by x?
13
Let p(o) = -o**3 - 45*o**2 - 46*o - 71. What is the remainder when 814 is divided by p(-44)?
15
Let t = -6 + 9. Let r(k) = 23*k - 4. Let w(o) = -o**2 - 26*o - 110. Calculate the remainder when r(t) is divided by w(-18).
31
Let h(a) = -a**3 - 53*a**2 + 48*a - 155. Calculate the remainder when h(-54) is divided by 55.
4
Suppose -14*l + 13*l + 206 = 5*j, -2*l - j = -367. Suppose -h - 26 = 4*k, k + 27 = -2*h - 2*k. What is the remainder when l is divided by (1/(h/(-39)))/(3/12)?
25
Let b(i) = -63*i - 1. Suppose 5*v + 2 + 8 = 2*h, 0 = 4*h + 5*v - 20. Calculate the remainder when b(-1) is divided by (11/(-5))/(h/(-50)).
18
Let p(a) = -24*a**3 + 2*a**2 + 2*a + 1. Let i(r) be the first derivative of 24*r**3 + r**2 + 3*r - 44. What is the remainder when i(-1) is divided by p(-1)?
23
Let n = -205 - -205. Suppose 9*j - 30 - 51 = n. Let l = -74 + 118. Calculate the remainder when l is divided by j.
8
Suppose -27 = -2*o - 29 + 42. What is the remainder when o is divided by 20?
0
Suppose 0 = m + 4*b - 56, 2*m + b = -3*m + 204. Calculate the remainder when 144 is divided by m.
24
Calculate the remainder when (-21)/((-20)/(2640/18)) is divided by 62.
30
Let q be (-5)/((50/(-4))/5). Let p = 32 + -32. Calculate the remainder when 89 is divided by q + (-4)/(-2 + p) + 19.
20
Let j be (-50 + 5/(-5))/(-3). Let z(y) = -9*y + 26. Let a(u) = -19*u + 51. Let c(d) = 4*a(d) - 9*z(d). What is the remainder when c(j) is divided by 28?
27
Let v(w) = 14*w**2 - 2940*w + 36. Let l be 0/((-4)/6*-3). Calculate the remainder when (l - 1/(-1)) + 104 is divided by v(210).
33
Let d = 408 + -681. Let c = d + 464. Calculate the remainder when c is divided by 48.
47
Suppose -8*u + 19*u - 319 = 0. What is the remainder when (-3 - -4)/(1/83) is divided by u?
25
What is the remainder when 270 is divided by -4*3/6*(-31 - 13)?
6
Let u(i) = -i**3 + 4*i**2 + 117*i - 625. Let o(r) = 340*r + 1. Calculate the remainder when o(1) is divided by u(9).
19
Let p(y) = 5*y + 64. Let d be p(-7). Suppose d - 85 = -7*v. Calculate the remainder when v is divided by 3.
2
Suppose 23*u - 12545 + 999 = 0. What is the remainder when u is divided by 155?
37
Let b(r) = 0 + 1 + 3*r**2 + r - 8. Let t(d) = 22*d + 261. Let f be t(-12). What is the remainder when 33 is divided by b(f)?
16
Let v(c) = 19*c - 168. Calculate the remainder when 244 is divided by v(16).
108
Let n(x) = -99*x**2 + 3*x - 129. Let i(w) = w**2 + 6. Let g(j) = -18*i(j) - n(j). Calculate the remainder when g(3) is divided by 53.
52
Let c(z) = -2*z**2 - 9*z + 13. Let o(h) = -h**2 + h. Let n(f) = -c(f) + 3*o(f). Let j = -102 + 121. Calculate the remainder when j is divided by n(10).
5
Let j(z) = z**3 - 26*z**2 + 28*z - 50. Let a be j(25). Suppose 725 = -a*g + 3225. What is the remainder when g is divided by 26?
22
Suppose -i = -2*f - 12, -3*i = -f + 4*f - 54. Suppose -d - i = -5*d. Suppose d*b - 9 = -2*x + 19, 5*x + 20 = 0. Calculate the remainder when 44 is divided by b.
8
Let u(w) = -9*w**2 - 7. Let n be u(5). Suppose -119 = -2*a - 25. Calculate the remainder when a is divided by 2/5 + n/(-20).
11
Suppose 2 = r, -6*r = 5*q - 2*r - 23. Suppose -4*l + y + 72 = 0, q*y - 7 = l - 25. Calculate the remainder when 16 - 456/96*-4 is divided by l.
17
Suppose 0 = -2674*l + 2634*l + 3240. Calculate the remainder when 411 is divided by l.
6
Let x(y) = -371*y**3 + y**2 + 4*y + 3. Let t be x(-1). Let b = -324 + t. What is the remainder when b is divided by 0 + 0 - (-48)/3?
15
Let m(n) = -n**3 + 8*n**2 + 9*n - 4. Let v be m(-4). Suppose v = -2*w - 84. What is the remainder when 110 is divided by (21/(-2))/(w/16 - -7)?
26
Suppose 0 = 1567*k - 1575*k + 48. Let a be (-2)/(-12) + (-12)/72. Suppose x = -5*q + 14 + 2, a = 2*x - q - 54. What is the remainder when x is divided by k?
2
Suppose 111 - 78 = 11*s. Suppose -380 - 88 = -w - 5*r, 2406 = 5*w + s*r. Calculate the remainder when w is divided by 44.
43
Let a(k) = -29*k**3 + 2*k**2 + 6*k - 3. Let g be a(2). Let m = g - -226. What is the remainder when 19 is divided by m?
8
Suppose 144 = 2*i + i. Let v(q) = q**2 + 4*q + 3. Let x be v(-3). Suppose x = 3*l - i - 24. What is the remainder when l is divided by 14?
10
Suppose 2*n + 10*g + 980 = 11*g, 8 = 4*g. Let i = 533 + n. What is the remainder when 87 is divided by i?
43
Let s(o) = o**2 - 11*o - 143. What is the remainder when s(32) is divided by 172?
13
Suppose -5828 + 4288 = -70*z. Suppose -b + 3*d = -d - 171, -b - 4*d + 139 = 0. Let u = b - 92. Calculate the remainder when u is divided by z.
19
Suppose 2*i - 2*u - 204 = 0, 11*u - 516 = -5*i + 10*u. What is the remainder when i is divided by 28?
19
Let a be (-2)/((-24)/81)*(-20)/(-15). What is the remainder when (-100)/36 - -3 - (-196)/a is divided by 6?
4
Let f = 5 - 1. Suppose 2*s - 20 = -3*z + 2*z, 4*z = -f*s + 80. Suppose -13*a - a = -798. Calculate the remainder when a is divided by z.
17
Let h(y) = y**2 + 4*y - 11. Let m be h(8). Let r = 151 - m. Suppose -2*i + 51 = q, 5*q = 2*i + q - 26. What is the remainder when r is divided by i?
20
Let h(k) = k**2 + 6*k + 5. Let v be h(-11). Let t be (-678)/(-13) - -1 - v/390. Suppose -t = -3*c + 4. What is the remainder when 33 is divided by c?
14
Let p = -90 + 102. Let x(i) = i**2 - 8*i - 36. Let t be x(p). Let l = t - -25. Calculate the remainder when l is divided by 20.
17
Let a be 0 + (-8)/(8/(-95)). Let q = a + -51. What is the remainder when 218 is divided by q?
42
Let z(j) = -j**2 - 14*j - 21. Let d be z(-12). Suppose -5*p = -d*r - 2146, -91*r - 4 = -89*r. What is the remainder when p is divided by 54?
50
Let b(j) = -7 - 3 - 5*j + 7*j - 3*j. Let x be b(-6). What is the remainder when ((-4)/(-6))/(6*x/(-3852)) is divided by 27?
26
Let o(g) = 4*g**2 + g + 3. Let i(d) = -2*d**2 + 29*d + 21. Let h be i(9). Let w = -96 + h. What is the remainder when o(4) is divided by w?
23
Suppose 151 = 5*f + 4*b, 6*f - 4*f + 4*b - 70 = 0. Calculate the remainder when 2476 is divided by f.
19
Suppose 10*z = -11*z + 399. Calculate the remainder when 157 is divided by 182/8 + z/76.
19
Calculate the remainder when 4 + 16180/6 - (7/(-3) - -1) is divided by 82.
78
Let w(d) = 43*d**2 - d - 1. Suppose -2939*r + 2944*r + 152 = 3*h, 4*h + r = 264. Calculate the remainder when h is divided by w(-1).
21
Let y(b) = 66*b - 16. Let t(c) = -6*c - 75. Let r be t(-13). Calculate the remainder when y(r) is divided by 61.
60
Suppose -3*t - 570 = -171. Let d = -51 - t. Suppose 0 = m - 4*q, -5*m + 3*q + 87 = -32. What is the remainder when d is divided by m?
26
Let t = 41 - -253. Suppose 0*r - t = -21*r. What is the remainder when 305 is divided by r?
11
Let m(i) = 25*i**2 - 83*i + 15. What is the remainder when m(-3) is divided by 58?
25
Calculate the remainder when 134 is divided by ((-28)/42)/(4/(-168)).
22
Let j = -9397 - -11817. What is the remainder when j is divided by 162?
152
Let q = 158 + -74. Suppose -5*n + 252 = 2*p + p, p = -n + q. Suppose -8*f = -15*f + p. Calculate the remainder when 83 is divided by f.
11
Let p(i) be the third derivative of 8*i**4/3 - 79*i**3/3 - 67*i**2. What is the remainder when p(5) is divided by 83?
79
Let d = 14837 - 14801. What is the remainder when 51 is divided by d?
15
Let l(i) = -7*i + 133. Let n be l(19). Suppose 9*w - 511 + 205 = n. What is the remainder when 101 is divided by w?
33
Let k = 230 + -211. What is the remainder when 85 is divided by k?
9
Let b(y) = 3*y - 30. Let z be b(16). What is the remainder when (z - (-4 + 10)) + 1 + 0 is divided by 20/(-35)*(-6 - 1)?
1
Let p(w) = -w**2 - 6*w + 73. Let g be p(-12). Let t = -28 + -4. What is the remainder when 95 is divided by (5/((-20)/t))/(g/3)?
23
Let p = -9579 + 9635. What is the remainder when 225 is divided by p?
1
Suppose -4*d + 1543 = 231. What is the remainder when d is divided by (12/(384/(-80))*1)/(2/(-12))?
13
Let c = 270 + -200. What is the remainder when 2155 is divided by c?
55
Suppose 47*j = 2351 - 800. Calculate the remainder when j is divided by 11.
0
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