 -5*n + i - 3*i + 52, 0 = 2*i - 2. Suppose -n*y + 243 = 13. What is the remainder when 111 is divided by y?
19
Calculate the remainder when 1135 is divided by (-2)/(-3)*2*47499/284.
20
Suppose -2*u + 4*y = -812, -2*u - u - 5*y = -1262. Suppose -3*h - u = -6*h. What is the remainder when 16/12*h/8 is divided by 6?
5
What is the remainder when 108*(40/8 + 6 + 2) is divided by 44?
40
Suppose -3*r + 11 - 2 = 0. Suppose 0 = p - r*p + 56. Suppose -6*t = -4*t - 166. What is the remainder when t is divided by p?
27
Suppose 0 = -2*y - 2*j - 18, 5*j + 52 = -4*y + 14. Let g be (y/(-2))/((-5)/(-30)). Let a = g + 38. Calculate the remainder when a is divided by 12.
11
Suppose 0 = o - 14 + 2. Let k(t) = 42 + 0*t**2 + 28 - t**2 + t**3. What is the remainder when k(0) is divided by o?
10
Let d(n) = 20*n - 135. Let f be d(7). Suppose -506 = -5*g + 2*u, -f*g + 55*u + 497 = 56*u. What is the remainder when g is divided by 2/(3*(-2)/(-102))?
32
Suppose 0 = -4*g + 10*g - 432. What is the remainder when 860 is divided by g?
68
Suppose -3*m + 1149 = 4*a + 298, 0 = 3*m + 3*a - 852. Suppose 19*n + m = 34*n. What is the remainder when 168 is divided by n?
16
Suppose -822 = 29*v - 35*v. Suppose 5*b = 3*u - v, 0*u = -5*u + 3*b + 223. What is the remainder when 174 is divided by u?
42
Let s(h) = -6*h - 209. Let q(f) = 6*f + 1. Let b(t) = -5*q(t) + s(t). Calculate the remainder when 73 is divided by b(-7).
35
Calculate the remainder when ((-61)/2)/(800/(-174400)) is divided by 55.
49
Suppose 65 = 20*h - 175. Calculate the remainder when 124 is divided by 376/12 + h/18.
28
Let d = 42 + -23. Let z(u) be the third derivative of u**6/120 + u**5/10 - 3*u**4/8 - 7*u**3/3 - 58*u**2. Calculate the remainder when z(-5) is divided by d.
18
Suppose 3*h - 20 = -h. Let v(y) be the third derivative of y**5/30 + y**4/12 + y**3/2 - y**2. Calculate the remainder when v(h) is divided by 16.
15
Suppose 37 = v + 3*j, -j = 2*j - 6. Let z = 20888 - 20833. Calculate the remainder when z is divided by v.
24
Let v(d) = -2*d**2 - 66*d - 135. Calculate the remainder when 1065 is divided by v(-29).
95
Let h = -18733 + 19274. Calculate the remainder when h is divided by 125.
41
Let u(q) = -q**3 + 20*q**2 - 11*q + 2. Let n = -35 - -54. Let c be u(n). Suppose -c - 34 = -4*d. Calculate the remainder when d is divided by 8.
7
Let w(a) = a**3 - 10*a**2 - 12*a + 13. Let r be w(11). Suppose r*c - 265 = -5*l + 7*c, 4*c = 16. Calculate the remainder when 222 is divided by l.
51
Let m = 217 + -193. Suppose 0 = 3*w - 16 - 122. Suppose 6*r - 10 = r, 4*t = 3*r + w. What is the remainder when m is divided by t?
11
Let m(o) = -o**3 + 2*o**2 - 7. Let k be m(-5). Let c = k + -127. What is the remainder when ((-102)/5)/((-8)/80) is divided by c?
40
Calculate the remainder when 998/36*(20 + -2) is divided by 27.
13
What is the remainder when 594 + 24/(-13 - -19) is divided by 29?
18
Suppose -4*m + 16 = 0, -d + 0 + 8 = 3*m. What is the remainder when 4/((d - -2)/(-22)) is divided by (-10)/(-1) - (-7 + (-11 - -13))?
14
Suppose 0 = o + 686 - 709. Suppose o*p + 17*p - 840 = 0. What is the remainder when 251 is divided by p?
20
Let r = -2 + 9. Suppose -17*f + 3344 = -11*f + 32*f. Calculate the remainder when f is divided by r.
4
Let p = 19262 - 17972. Calculate the remainder when p is divided by 87.
72
Suppose -6*v - 5*n + 84 = 0, 0 = -5*v + 3*n + 29 + 41. What is the remainder when 363 is divided by v?
13
Let h(r) = 97 + 2*r - 201 + 99. Let k be h(-3). Let x = 28 + k. What is the remainder when x is divided by 7?
3
Let o = 5605 + -4207. Calculate the remainder when o is divided by 14.
12
Let w = 31625 + -31610. Suppose 0 = -5*s + 33 + 102. Calculate the remainder when s is divided by w.
12
Suppose -33*d - 2*d - 5040 = 0. What is the remainder when d/(-192) + (-682)/(-8) is divided by 4?
2
Suppose 0 = 2*y - 5*h + 2*h - 632, 5*y - 1571 = 3*h. Let u = -152 + y. Suppose 7 = 3*a - 116. What is the remainder when u is divided by a?
38
Suppose 37 + 41 = 25*n + 3. Let b(r) be the third derivative of r**6/60 - r**5/60 + r**4/12 + r**3/6 - r**2. Calculate the remainder when b(n) is divided by 11.
8
Let l(g) = g**3 - 7*g**2 + 20*g + 4. Calculate the remainder when 1149 is divided by l(7).
141
Calculate the remainder when (-1)/(-16) + 22*634/64 is divided by 54.
2
Let r(y) = -34*y - 18 + 75*y - 32*y. Let z be r(9). What is the remainder when 79 is divided by 286/14 - 27/z?
19
Suppose -9*j - 62412 = -12*j - 5*r, 0 = -5*j + 4*r + 104020. What is the remainder when j is divided by 103?
101
Let k(l) = -438 - 449 + 39*l + 734. Calculate the remainder when 13 is divided by k(4).
1
Suppose w + 15 = -5*i + 62, 0 = 4*i + 5*w - 25. Let k(y) = 3*y + 80. Let q be k(-24). Suppose 14 - q = v. Calculate the remainder when i is divided by v.
4
Let u = -93 + 181. Let x = u - 87. What is the remainder when 168 is divided by (-2)/(-1 + x*(-15)/(-17))?
15
Suppose d + 4*d = -r + 105, -4*d = 4*r - 468. What is the remainder when (r/(-48))/(1/(-50)) is divided by 22?
15
Suppose 9*r = -4*g + 369, 19*g - 3*r = 17*g + 147. Calculate the remainder when 575 is divided by g.
8
Suppose 23 = -f - g, 2*g = -3*g + 25. What is the remainder when -4*(1211/f + -4) is divided by 16?
13
Suppose -c + n = 4*c - 48, 0 = -c - 4*n - 3. Suppose c*w = -7*w + 768. What is the remainder when 573 is divided by w?
45
Let a = -6059 + 6691. What is the remainder when a is divided by 77?
16
Suppose -4*a - 1700 + 64 = 0. Let f = a - -495. Calculate the remainder when f is divided by ((-2)/(-5))/(1/110).
42
Let z = 8 - 9. Let g(w) be the first derivative of -9*w**4/4 + w + 24. What is the remainder when 49 is divided by g(z)?
9
Let h(p) = 3*p**2 - 4*p + 1. Let g = 36 - 32. Suppose g*v = -3*a + 44, 0*v + v = -4*a + 63. What is the remainder when h(5) is divided by a?
8
What is the remainder when 259 is divided by ((-18)/8)/((-99)/66)*58?
85
Calculate the remainder when (-5)/(-40) - 7342/(-16) is divided by ((-7)/2)/(25/(-150)).
18
Let g(p) = -3 + p + p**2 + p**2 - 5*p - 3*p**2. Let f be g(-5). Calculate the remainder when f/(-36) - (-1670)/18 is divided by 16.
13
Let k = -403 + 457. What is the remainder when 985 is divided by k?
13
Suppose -2*b + 112 = -382. Let t(z) = z**2 + 3*z - 104. What is the remainder when b is divided by t(-14)?
47
Suppose 0 = -5*s + 2*j + 464, s + 5*j - 109 = -0*j. Let a = 9 - 105. Let d = a - -115. Calculate the remainder when s is divided by d.
18
Suppose 4*x - 1040 = -4*q, 15*q - 12*q = -4*x + 780. Suppose 77*t - q = 67*t. What is the remainder when 363 is divided by t?
25
Let c(j) = -2*j**3 - 14*j**2 - 8*j - 8. Let w be c(-6). Let f(m) = 4*m + 85. Calculate the remainder when w/10*(15 + -25) is divided by f(-19).
5
Suppose 2*y + 136 = 6*y. Suppose 0 = -2*u - 4*l + 12, -5*l - 105 = y*u - 39*u. Calculate the remainder when 73 is divided by u.
9
Let u(r) = r**3 - 14*r**2 + 22*r + 78. Let n be u(12). Suppose -h + n = 3*w - w, 2 = 2*w. Calculate the remainder when (-1*2)/(-2) - -102 is divided by h.
51
Suppose w - 3*r - 12 = -0*r, 4*w - 6 = -2*r. Let d(v) = 4*v + 2. Let c = -3 + 56. Calculate the remainder when c is divided by d(w).
11
Suppose 458 = 6*v + 158. Suppose -k - 4*l = -47, -v + 3 = -k - 2*l. Calculate the remainder when k is divided by 18.
11
Suppose 2*n + 5*a + 10 = 3*n, 5*a - 20 = 0. Let o = 34 - n. Suppose -v = 3*s + s - 128, v + o = 0. Calculate the remainder when s is divided by 17.
16
Suppose 0 = -6*v + 9 + 9. Let i(d) = 4*d**3 - d**2 - 11*d + 27. Calculate the remainder when i(v) is divided by 32.
29
Let k(t) = -11*t**2 + 13*t - 4. Let x be k(-5). Let n = x + 385. Calculate the remainder when 72 is divided by n.
31
Suppose -14 = -x + 2. Suppose -4*n + 6*n - n = 0. Calculate the remainder when (3 - n)*129/9 is divided by x.
11
Let y = 2032 + -1681. What is the remainder when y is divided by 44?
43
Let s = -2198 + 2303. Suppose 0 = -t - 4*t + 270. Calculate the remainder when s is divided by t.
51
Let m be ((-18)/42 + (-198)/28)*14. Let d = m + 112. What is the remainder when 52 is divided by d?
3
Let a = -771 - -778. Suppose -3*r = a*r - 1520. Let x = 110 + -59. What is the remainder when r is divided by x?
50
Suppose 6 = -4*x - 6. Let v be 5 + 707/21 - (-2)/x. Suppose -4*a + v = -94. Calculate the remainder when 128 is divided by a.
29
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