) is divided by 18.
13
Suppose 7*k - 2*k - 68 = -4*b, -3*b - 5*k = -56. Suppose -330 = 8*q + 7*q. What is the remainder when (253/q)/((-2)/4) is divided by b?
11
Suppose 0 = -n - 2*z + 4, 0 = -n - 2*n + z + 12. Suppose -5*w + 5*p + 209 = -51, 0 = 3*w - n*p - 151. What is the remainder when 223 is divided by w?
52
Let h(v) = 16*v**2 - 4*v - 2. Let j be h(-3). Suppose 5*r - 66 = j. Suppose -128 = -3*u - r. What is the remainder when 55 is divided by u?
27
Let j(q) = q**2 + 4*q. Let g = 219 + -215. Calculate the remainder when (2/g)/((-61)/(-10) + -6) is divided by j(-5).
0
Let v(g) = 5*g - 8. Let l be v(13). Suppose 6*p - 15 - l = 0. Let c = 244 + -173. What is the remainder when c is divided by p?
11
Let x(u) = 431*u + 23319. Calculate the remainder when (4/(-3))/((-2)/78) is divided by x(-54).
7
What is the remainder when 1091 is divided by 810/14 - 2/84*-6?
47
Let o = 16327 - 16322. Suppose 0 = -2*a + 4*a - 8. Suppose -3*d - y - 8 = -5*y, -a = 4*d - 4*y. What is the remainder when o is divided by d?
1
Let m(o) = o**3 - 7*o**2 - 6*o + 3. Let g(d) be the first derivative of 4*d**3/3 + 5*d**2/2 + 11*d + 19. Calculate the remainder when g(-3) is divided by m(8).
13
Let c = 36990 + -36975. Calculate the remainder when 1048 is divided by c.
13
Calculate the remainder when (1327948/1730)/(-1 + (-7)/(-5)) is divided by 40.
39
Suppose 10*a + 0 = 30. Suppose 0 = -k + a*v + 25, 4*k - 138 = -k + 2*v. What is the remainder when 361 is divided by k?
25
Suppose -3*q + 651 = 3*p, 34*p + 619 = 37*p - q. Calculate the remainder when p is divided by 45.
29
What is the remainder when (-3 - 159/6)*(20 + -22) is divided by 10?
9
Let t be 2/(-3)*4*(-9)/2. Suppose -t*c + 21 = -9*c. Suppose 0 = -i + 21 - c. What is the remainder when 55 is divided by i?
13
Suppose 5*d = 5*x - 75, 0*x + 5*d - 25 = -5*x. Let g = 10 - x. Suppose -3*o + 0*o + 18 = g. What is the remainder when 35 is divided by o?
5
Suppose -4242*v + 4212*v = -840. Let i = 49 - -5. Calculate the remainder when i is divided by v.
26
Let z = 9444 - 9374. What is the remainder when 1104 is divided by z?
54
Let q(s) = 3*s + 91. Let v be q(-19). Let r = v - -150. What is the remainder when r is divided by 17?
14
Suppose 4*o - o = o. Let r be (o - -36)/3 - -3. Suppose -30*j + 29*j + r = 0. What is the remainder when 40 is divided by j?
10
Let j = 267 - 267. Suppose 5*s + 5 = j, s - 6*s + 90 = 5*h. Calculate the remainder when 149 is divided by h.
16
Let p(d) be the first derivative of 5*d**2 + 10. Suppose 3*g - 40 = -7. Calculate the remainder when p(3) is divided by g.
8
Suppose 0*y + 2*y - 24 = 5*n, -3*n - 12 = 0. Suppose 3*p = -5*w + 39, -y*w - 7 = -4*p - 33. Calculate the remainder when 35 is divided by w.
8
Suppose -4*f - 16 = -u, 2*u - 63 = -u - 3*f. What is the remainder when (-255 + 0)*(-242)/363 is divided by u?
10
Let v(j) = 7*j**2 - j - 2. Let x = 161 + -163. What is the remainder when v(x) is divided by 4?
0
Suppose -4*r = d - 47, -5*r - 3*d = -5*d - 75. Suppose 859 - 222 = r*n. What is the remainder when 29 is divided by 553/n - 6/21?
7
Let q(l) = 665*l + 16100. What is the remainder when 140 is divided by q(-24)?
0
Suppose 42*v = -3*v + 135. Let u = -158 + 239. Calculate the remainder when u is divided by v.
0
Let m(w) be the first derivative of 39*w - 1/2*w**2 + 21. Calculate the remainder when 66 is divided by m(22).
15
Let h = 207 + 239. Let w = h - 434. What is the remainder when 92 is divided by w?
8
What is the remainder when 203 is divided by -3*(-28 + 14) - 2?
3
Let k(p) be the first derivative of p**4/4 + p**3/3 - 53*p**2/2 + 7*p + 34. What is the remainder when 51 is divided by k(7)?
23
Suppose -h + 0*p - p + 29 = 0, 0 = 5*h + 4*p - 149. Let n(j) = j**3 + 7*j**2 - 445*j + 12. Calculate the remainder when n(18) is divided by h.
3
Suppose -13 = -3*w + 422. Let z(s) = s**2 + 20*s - 91. Let b be z(-28). Let v = -112 + b. What is the remainder when w is divided by v?
19
Let a be 55/(-15) + 1/(-3). Let t(u) = 5*u - 27. Let b(c) = 2*c - 9. Let j(q) = 8*b(q) - 3*t(q). Calculate the remainder when 21 is divided by j(a).
1
Suppose 4*q + 12*q - 9536 = 0. Suppose -287*x - q = -291*x. What is the remainder when x is divided by 24?
5
Suppose -412694 + 18713 = -73*l. Calculate the remainder when l is divided by 135.
132
Suppose 65*w - 9*s - 3 = 66*w, 3*w + 4*s - 152 = 0. What is the remainder when 4916 is divided by w?
56
Let y be (-2 + 15)*-3*2/(-6). Suppose -202 - 214 = -y*h. What is the remainder when h is divided by 18?
14
Let m(d) = d**3 + 27*d**2 + 93*d + 178. Suppose -135 = 3*h - 8*h. Calculate the remainder when m(-23) is divided by h.
20
Let r(d) = -d**2 - 146*d + 461. Calculate the remainder when 45 is divided by r(3).
3
Let m(y) = 748*y**2 - 81*y + 227. What is the remainder when m(3) is divided by 64?
60
Suppose -72 = -0*w - 4*w. Suppose 0 = 2*f + 5*c - 111 - 226, 5*c - 508 = -3*f. Let j = f + -118. What is the remainder when j is divided by w?
17
Suppose -4*g - 44 = -5*w + 92, 2*g + 128 = 5*w. Suppose 0*x + w = 5*q + 2*x, 3 = 2*q + 3*x. What is the remainder when 23 is divided by q?
5
Let v(q) = q**3 + 3*q**2 + 4*q + 6. Let l be v(10). Suppose 434 - l = -6*t. Calculate the remainder when t is divided by 40.
32
Let j be (58/(-87))/((-1)/(0 + 3)). Suppose -3*n + 3*v = 8*v - 83, -n - j*v = -29. Calculate the remainder when 38 is divided by n.
17
Suppose -5*n + 37099 = 8*y - 4*y, -y = -4*n + 29675. What is the remainder when n is divided by 14?
13
Suppose -152 = -3*p - 5*y, 0 = 4*p - 86*y + 90*y - 176. Let v(r) = 21*r - 1. Calculate the remainder when p is divided by v(1).
14
Suppose 5892 = 19*x + 99*x - 9920. What is the remainder when x is divided by 99?
35
Let q = 56 - -14. Let h = 754 - 745. Calculate the remainder when q is divided by h.
7
Let u(r) = -88*r + 975. What is the remainder when u(10) is divided by 88?
7
Suppose -4*q + 4*f = -f - 18, 5*f = 10. Suppose -5*k + 86 = -2*h, -k + 3 = 2*h - 7. What is the remainder when 680/18 - k/(-72) is divided by q?
3
Suppose p + 5*i = i + 54, -p + 47 = -3*i. Suppose -4*c - 1288 = -p*c. What is the remainder when 83 is divided by c?
27
Let i(o) = -o**3 + 11*o**2 - 8*o + 12. Calculate the remainder when i(8) is divided by 66/36 - 2 - (-219)/18.
8
What is the remainder when 461 is divided by (38/(-3) + 0)/((-230)/345)?
5
Let b(m) = -2*m - 32 - 11 + 7. Let r be b(-11). Calculate the remainder when (-1044)/(-28) - (-4)/r is divided by 10.
7
Suppose -y = -2*x + 253, -481 = -4*x + 9*y - 12*y. Suppose 69*h - x - 359 = 0. Calculate the remainder when 105 is divided by h.
0
Suppose 22*b - 41*b = -185 - 214. Suppose -160 = -t - 3*t. What is the remainder when t is divided by b?
19
Let y be (-6 - -7 - 4/6)*15. Let h = y - -36. Calculate the remainder when 244 is divided by h.
39
Let v(r) = 4*r - 3*r + 50 + 12*r + 0*r. What is the remainder when v(10) is divided by 7?
5
Let l = -16104 + 16142. Calculate the remainder when 126 is divided by l.
12
Let l be ((-6)/8)/(180/96)*-335. Let o = -100 + l. Calculate the remainder when o is divided by 8.
2
Suppose -4*p = 2*r - 278, -2*p - 2*r = -3*r - 149. What is the remainder when 265 is divided by p?
49
Let i(k) = 11*k + 1. Suppose 6*n = 8*n - 110. Let s = n - 52. Calculate the remainder when 67 is divided by i(s).
33
Let r = -1561 + 1568. Calculate the remainder when 1664 is divided by r.
5
Suppose 39159 = 34*r + 23351 - 89830. What is the remainder when r is divided by 74?
73
Let l = -354 - -486. Suppose 11*x + 22 - l = 0. What is the remainder when 37 is divided by x?
7
Let c be (1/(-12))/((-2)/18)*-20. Let x = -120 + 152. What is the remainder when x is divided by (c/(-10))/((-6)/(-68))?
15
Let d = 6355 + -4477. What is the remainder when d is divided by 118?
108
Let j = -66 - -69. Suppose -3*q - 36 = j*t, -2*q = -0*t + t + 10. Calculate the remainder when 40 is divided by ((-44)/5)/(t/35).
18
Let u be (-2)/3 + (2 - 185/(-3)). Let f = -59 + u. Suppose -45 - 155 = -f*h. What is the remainder when h is divided by 17?
16
Let f(w) = 4*w**3 - 184*w**2 + 2*w + 20. Calculate the remainder when 274 is divided by f(46).
50
Let a = -8020 - -8257. Let h = 16 - 0. What is the remainder when a is divided by h?
13
Let r(i) = 395*i**3 + 2*i**2 - i. Calculate the remainder when r(1) is divided by (-3)/42 + 2808/112.
21
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