t r(j) = -23*j - 13. Let m be r(-1). Suppose -189 = m*h - 19*h. Calculate the remainder when 44 is divided by h.
2
Let r(o) = o**3 - 10*o**2 + o + 19. Let w(x) = 4*x + 5. Let j be w(-3). Let z be 0 - 3 - 91/j. Calculate the remainder when r(z) is divided by 17.
12
Let m(s) = 3*s**2 + 36*s + 562. Calculate the remainder when m(-19) is divided by 20.
1
Suppose -21*n = 404 + 16. What is the remainder when 19 is divided by 2/(-5) + (-6 - 428/n)?
4
Suppose -5*a + a = -84. Let l = 69 - a. Calculate the remainder when l is divided by 14.
6
Let q(d) = 8*d**3 - 26*d**2 - 10*d - 8. Let z(f) = 2*f**3 - f + 1. Let w(l) = -q(l) + 3*z(l). Calculate the remainder when w(7) is divided by 10.
8
What is the remainder when ((-12)/(-273))/(34/(-119)) + 8324/26 is divided by 54?
50
Let l(f) = -f**3 - 28*f**2 - 26*f + 69. Calculate the remainder when 1146 is divided by l(-27).
12
Let s = -240 + 105. Let w = s - -156. What is the remainder when 60 is divided by w?
18
Let z = 26532 + -25240. Calculate the remainder when z is divided by 3.
2
Suppose -745*k + 763*k - 684 = 0. Calculate the remainder when 841 is divided by k.
5
Let s = -337 - -774. Suppose 20*v - s = v. What is the remainder when 150 is divided by v?
12
Calculate the remainder when 284 is divided by (3055/(-195))/((-1)/3).
2
Suppose 5*s - 3*s - 36 = 0. Suppose 18*l = 7*l + 297. Suppose l = 7*b - 1. Calculate the remainder when s is divided by b.
2
Let k = 69 + -57. Suppose -o + 2*v + 7 + 1 = 0, k = 5*o + 4*v. Suppose -5*q = 2*x - 86, 0 = o*q - 3*q. Calculate the remainder when x is divided by 13.
4
Let c = -158 - -167. Suppose -3*p - 12 = 9. What is the remainder when c is divided by 1 - (0 + 3 + p)?
4
Let n be -2*17/(204/(-90)). Let d be 86 - 1/2*0. Let x = n + d. What is the remainder when x is divided by 26?
23
Suppose -3*c - 4*u + 69 = 0, 108*u - 69 = -3*c + 109*u. Calculate the remainder when 105 is divided by c.
13
Calculate the remainder when (2856/(-833))/((-2)/126) is divided by 179.
37
Suppose -7*i - 357 = -14*i. Let l = i - -1. Let w(g) = 3*g**2 - g - 4. What is the remainder when l is divided by w(3)?
12
Calculate the remainder when 316 is divided by ((-4)/(8/(-3)))/((-3)/(-188)).
34
Suppose -5*m = y - 915, -36*m + 39*m - 572 = 4*y. What is the remainder when m is divided by 90?
4
Suppose -71 = -3*c + 49. Suppose 42 = -3*k - 2*p + 3*p, -4*k - 56 = 2*p. What is the remainder when -3 - -2*(-1687)/k is divided by c?
38
Let z(v) = -v**3 + 22*v**2 + 27*v - 38. Let g be 25 - (1 + 8 + -7). Calculate the remainder when 319 is divided by z(g).
49
Let x(u) = u**3 + 5*u**2 + 5*u - 3. Suppose 4*l = -18 + 6. Let t be x(l). Suppose t = -0*v - 7*v + 91. Calculate the remainder when 76 is divided by v.
11
Let x(r) = -444*r - 2199. What is the remainder when x(-8) is divided by 193?
2
Let t(v) = 24*v + 16. Let z be t(-1). Suppose 9*k - 6*k - 12 = 0. What is the remainder when (-6 + 81/k)/((-3)/z) is divided by 25?
13
Let v(r) = -4*r**2 + 5*r + 46. Let y be v(-7). Let n = y + 397. What is the remainder when n is divided by 55?
47
Let b be 40/(-10) - (-7 - 2). Suppose -13*q + b*q = -136. What is the remainder when 65 is divided by -1 - -11 - (q + -18)?
10
Suppose 10*r = -8*r + 288. Let a = 27 + -25. Suppose 5*i = -b + 48, 0*b + a*b - 141 = -i. Calculate the remainder when b is divided by r.
9
Let r(o) = -1657*o - 13698. What is the remainder when r(-9) is divided by 242?
5
Let v = 5975 - 5935. Let h(i) = -7*i - 11. What is the remainder when v is divided by h(-5)?
16
Let p(o) = -o**2 + 10*o + 21. What is the remainder when 667 is divided by p(9)?
7
Suppose -7 = 7*a - 63. Let p(r) = 14*r - 375. What is the remainder when (266/a)/((-1)/(-4)) is divided by p(28)?
14
Let s(j) = -j**2 + j - 2. Let f(b) = -b**2 + 13*b - 54. Let n(q) = -f(q) + 2*s(q). Calculate the remainder when 47 is divided by n(-13).
23
Suppose d - 4*c - 2 = 92, -5*d = c - 512. What is the remainder when 393 is divided by d?
87
Suppose -4*h + 0 = -20. Let q = h + 50. What is the remainder when 270 is divided by q?
50
What is the remainder when 5206 is divided by 164 + -6 + (-50)/(-5)?
166
Let u = -19484 + 32522. Calculate the remainder when u is divided by 207.
204
Suppose 8 = 5*z - 7*z + 2*d, z + 2*d + 1 = 0. Let h be (-5 + 9)*(-2)/(-8). What is the remainder when h/z - (-1005)/45 is divided by 13?
9
Suppose -506*g + 4*n + 134 = -505*g, 5*n = -4*g + 578. Calculate the remainder when 282 is divided by g.
140
Let v(n) = 71*n**2 + 2*n + 1. Let g(q) = -3*q - 9. Let b be g(-2). Let a be (b - -5) + (-2 - 1). What is the remainder when v(a) is divided by 9?
7
Suppose -18 = -2*c - 2*y, 10*y = 2*c + 6*y - 42. Calculate the remainder when 450 is divided by c.
8
Suppose -2*v - 8 = -106. Let f(u) be the third derivative of u**5/15 + u**4/3 + u**3/6 + 8*u**2 - 4. What is the remainder when f(6) is divided by v?
46
Suppose -2*h + 3*r + 1835 = 2*h, 3*h - 1375 = 2*r. Let o = 490 - h. Calculate the remainder when o is divided by (2/(-3))/(1/(-18)).
11
Suppose 73*g = 82*g - 126. What is the remainder when (1*(-8)/10)/(4/(-230)) is divided by g?
4
Suppose z - 127 = v, -4*v - 7 = 25. Calculate the remainder when 589 is divided by z.
113
Let b be ((-6)/5)/((-12)/30). Suppose -24 = -5*y + c, -2*y + 0*c + 13 = b*c. Let s = 231 - 220. Calculate the remainder when s is divided by y.
1
Suppose -6*j + 4*j + i = 183, 4*j + 5*i + 373 = 0. Let s = j - -133. Calculate the remainder when s is divided by 25.
16
What is the remainder when 2093 is divided by 1036/8 + (-30)/(-20)?
128
Let r(j) = 30*j**2 + 19*j - 16. What is the remainder when r(4) is divided by 84?
36
Suppose 2*h = -2*z - z + 238, -4*z + 314 = h. Suppose z = 14*m - 118. Calculate the remainder when 54 is divided by m.
12
What is the remainder when 263 is divided by ((-440)/(-33))/8*27?
38
Suppose -66*f - 879 + 1803 = -1980. Calculate the remainder when 79 is divided by f.
35
Let k = 965 + -554. Calculate the remainder when k is divided by 12/216*21*(-66)/(-11) - -39.
43
Let i be (-1 - 0)/(43/(-23822)). Let x = i + -340. Calculate the remainder when x is divided by 36.
34
Suppose -h + 12 = -4*h, -4*v - h + 80 = 0. Let n(m) = 2*m**3 - 106*m**2 + 1364*m + 14. Calculate the remainder when v is divided by n(22).
7
Suppose 133*m - 171*m + 576 - 82 = 0. Calculate the remainder when (-49)/3*(-3 - 0) is divided by m.
10
Suppose -2*m - 99 + 247 = 0. Suppose m = -5*a + 119. Calculate the remainder when (-3)/5 + 1052/20 is divided by a.
7
Suppose -4*v + 3*r + 60 = 0, -v - 4*v + 80 = -5*r. Suppose 4*b - v = -2*b. Suppose 11 = -y + b*y. What is the remainder when 30 is divided by y?
8
Let p be (-1 - -35)*(-1)/(-2). Suppose p = -0*x + x. Let s(q) = -q**3 + 23*q**2 - 68*q - 143. What is the remainder when s(18) is divided by x?
15
Suppose -2*w - 10 = 3*r, 0 = 5*r + 2*w - 6*w + 2. Let k be ((-768)/9)/r*6/(-2). Let s = k + 211. Calculate the remainder when s is divided by 43.
40
Let v be (-2)/6 - (5 - (-2128)/(-3)). Suppose 2*h + h = -12, -2*h - v = -3*k. Suppose 13*c - k = 9*c. Calculate the remainder when c is divided by 21.
16
Calculate the remainder when (-33442)/(-18) - -11*18/1782 is divided by 93.
91
Suppose 10*h + 3*i = 1576, -13*h + 16*h - 414 = 4*i. Let r(f) = -3*f + 5. What is the remainder when h is divided by r(-7)?
24
Let s = -15795 + 16447. What is the remainder when s is divided by 160?
12
Let i(h) = -18*h**2 - 4*h - 9. Let p be i(5). Let s = -60 - 196. Let r = s - p. What is the remainder when r is divided by 45?
43
Let c(g) = 2*g - 18. Let t be c(12). Let j be (-357)/(-33) + t/33. Suppose -15*k = -j*k - 80. What is the remainder when 39 is divided by k?
19
Let v be (18/15)/((-9)/(-30)). Calculate the remainder when 0 + 51 + v*(-3)/6 is divided by 2/(-40)*5 + 210/8.
23
Let r be 15 - (-2 - -6)/(-4). Suppose 0*k + 11 = k - 2*m, -5*k + r = 3*m. Suppose 4*u + k*v = 2, -3*u - 3*v = -u. What is the remainder when 5 is divided by u?
2
Let j(r) = 2*r**2 - 12*r + 1. Let m(i) = -13 + 7 - 3*i + 0 + 13*i**2 - 3*i. Calculate the remainder when m(-3) is divided by j(8).
30
Let y = 369 + -366. Suppose -40 = -i + y*j, 4*i - 13*j = -11*j + 150. Let g = 15 - -2. What is the remainder when i is divided by g?
3
Suppose w = 4*j + 9 - 90, -j + 5*w + 44 = 0. What is the remainder when 29945/424 + (-3)/(-8) is divided by j?
14
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