ed by 15?
7
Calculate the remainder when 1124 + (-17 - -11)/(27/45) is divided by 51.
43
Suppose 183*i = -57*i + 305520. Calculate the remainder when i is divided by 160.
153
Suppose 3*f + 4*z - 471 = 0, 0 = -f + 5*f - z - 647. Suppose 484*c = 3*o + 487*c - 21, -2*c = o - 3. What is the remainder when f is divided by o?
7
Suppose 5*k - 725*i = -722*i + 29041, -4*k = 4*i - 23252. What is the remainder when k is divided by 30?
20
Suppose 0 = -m - i + 3*i + 12, -2*i = 6. Let j = -2 + m. Suppose 4*a - a - 2*d - 20 = 0, -60 = -j*a - 4*d. Calculate the remainder when 18 is divided by a.
8
Let k(p) = 3*p - 50. Let w be k(18). Suppose 4*g - w*t - 202 = -g, 2*t + 122 = 3*g. What is the remainder when 376 is divided by g?
40
Calculate the remainder when (6 - 3)/((-45)/(-6240)) is divided by 11.
9
Let l be (-3*8/20)/((-6)/680). Let v = -122 + l. Calculate the remainder when 36 is divided by v.
8
Calculate the remainder when 4/(-8)*4*(-2479)/74 is divided by 24.
19
Let s(l) = 18*l - 4. Let w(p) = 70*p - 17. Let x(k) = 9*s(k) - 2*w(k). Calculate the remainder when (-20)/6*(-228)/10 is divided by x(1).
16
Suppose -466 = -11*n - 92. Let q = n + 1. Let k = q + -18. What is the remainder when 32 is divided by k?
15
Suppose 4*i = -5*x + 816, 51 = i - 2*x - 153. Suppose 0 = -n + 2, -2*v + 5*n - 384 + 254 = -6*v. Calculate the remainder when i is divided by v.
24
Suppose -3*r = 5*l + 105 - 263, -3*l + 90 = -3*r. Let v be (0/2)/(-1) + 7. Suppose 24 = a + v. What is the remainder when l is divided by a?
14
Let k(s) = -2*s**2 - 13. Let l be k(11). What is the remainder when l/(-3)*4 - (41 - 38) is divided by 20?
17
Let s(u) = 416*u + 6683. What is the remainder when 257 is divided by s(-16)?
14
Suppose -2*r + 28 = x, -753*x + r - 41 = -755*x. Calculate the remainder when 2788 is divided by x.
16
Let r(s) = -s**2 + 2*s + 6. Suppose 7*q - 4 - 3 = 0. Suppose z + h = -q, 3 = -4*h - 1. Calculate the remainder when 17 is divided by r(z).
5
What is the remainder when ((-12)/(-14))/(699/388178) is divided by 430?
46
Let u(p) = -2*p**2 - 88*p - 140. What is the remainder when u(-35) is divided by 65?
35
Suppose 5*l - 4*o = -0*o - 3, 4*l - o = 2. Let w be ((-130)/(-3))/(((-35)/(-15))/(-7)). What is the remainder when l - (3 - 5) - w is divided by 35?
28
Suppose 70 = z + 2*z - 5*n, -2*z + 5*n = -45. Suppose -h = z*h - 780. What is the remainder when 117 is divided by h?
27
Suppose 2449 = 20*u - 3151. What is the remainder when u is divided by 16?
8
Let r be ((-8)/(-4) - 3)/(3/(-507)). Let a = r + -90. Calculate the remainder when a is divided by 14.
9
Suppose -15 = 3*k + 3*n, -4*k - 25 = 2*n + 5. Let i = -7 - k. Suppose -35*h = -9 - 341. What is the remainder when h is divided by i?
1
Suppose -1595 = 172*o - 8020 - 17483. Calculate the remainder when 1071 is divided by o.
98
Let w(p) = -5*p + 41. Let t(x) = -x**2 + 17*x - 35. Let l be t(14). What is the remainder when 15 is divided by w(l)?
3
Let i = -17407 + 17810. What is the remainder when i is divided by 81?
79
Let c be 42/(-441) + 15819/63. Suppose 0 = 12*k + c - 2399. What is the remainder when k is divided by 31?
24
Let g(v) be the third derivative of -5*v**4/24 - 5*v**3/2 + 51*v**2. Calculate the remainder when g(-15) is divided by 15.
0
Suppose 3*q + 39 = -3*r + 156, 0 = 5*r - 4*q - 186. Suppose 2*m = 5*m - 744. Suppose -6*i + m = -622. What is the remainder when i is divided by r?
31
Let w(s) = s**3 - 7*s**2 - 1047*s + 9485. Let v(b) = b**3 - 5*b**2 - 10*b + 10. Calculate the remainder when w(9) is divided by v(7).
34
Let g = -3143 + 2053. Let a be (g/20)/((-1)/(-2)). Let b = -66 - a. Calculate the remainder when b is divided by 12.
7
Calculate the remainder when 426 is divided by (91 + -92)/(2/(-274)).
15
Let u = 369 - 365. Let z(p) = 2*p**2 - 15*p + 69. What is the remainder when 144 is divided by z(u)?
21
Let p = -14 - -16. Suppose -p*f = f - 417. Let s = -47 + 82. Calculate the remainder when f is divided by s.
34
Suppose -4*h + 5*m = -2016, -2*h + 2*m + 633 = -377. What is the remainder when h is divided by 5?
4
Let t be ((-12)/(-7))/4 - (-7736)/14. Suppose -552*v = -t*v + 56. What is the remainder when 122 is divided by v?
10
Let p(r) = 12*r**2 + 85*r - 3. Let s be p(-7). Let m be (-5)/2 - (-5)/10. What is the remainder when m + (5/(-3))/(s/840) is divided by 20?
18
Suppose -6*y + 5*y = 2*l - 53, -3*l + 162 = 3*y. Calculate the remainder when 767 is divided by y.
52
Let l(a) = -a**2 + 27*a - 42. Suppose 4*h - 87 = -5*i, 0 = h - 4*i - 2 - 25. Suppose 13 = c - 0*c. What is the remainder when l(h) is divided by c?
11
Let t(a) = 20 + 3*a**2 - 4 - 4*a**2 - a. Suppose 3*g = -5*l + 138, -31*g = -4*l - 33*g + 110. What is the remainder when l is divided by t(0)?
11
What is the remainder when 1020 is divided by (-224)/(-12)*150/200?
12
Suppose 0 = -u + 5*c + 130, 4*u + 41*c - 412 = 43*c. Calculate the remainder when 8293 is divided by u.
93
Let s(y) = y**3 - 52*y**2 - 50*y - 171. Calculate the remainder when s(55) is divided by 9.
7
Let o(t) = 8*t + 68. Let p be o(-26). Let d = 183 + p. Calculate the remainder when 427 is divided by d.
40
Suppose 0 = -8*p + 8*p - 8*p + 440. What is the remainder when 123 is divided by p?
13
Let r(q) = 7*q**2 + 58*q + 9. What is the remainder when r(5) is divided by 96?
90
Suppose -5*w = -5*g + 1765, -10*g = -14*g + w + 1430. What is the remainder when g is divided by 29?
11
Let z = 6354 - 5688. Calculate the remainder when z is divided by 5.
1
Let o be (-5 + 2 + 3)/(-2). Let m be ((-4 - -8) + o + -3)*5. Suppose -45 = -m*i - 0*i. Calculate the remainder when 25 is divided by i.
7
Let d be (20*4/8)/(22/11). Suppose 49 = 2*z + d*o, 4*z - 46 - 19 = o. Let w(b) = b**2 - 3*b. What is the remainder when z is divided by w(5)?
7
Suppose -4*m + 38 = 2*v, 2*v - 5*m = 5*v - 60. Suppose 3 = -f, -6*w - 2*f = -w - 19. Suppose -10*c + w*c = -370. What is the remainder when c is divided by v?
24
Suppose 0*g + 36 = 5*g - 3*f, -3*f = -2*g + 18. Let t(n) = -5*n**3 + n - 1. Let s be t(1). What is the remainder when (g/s)/((-18)/720) is divided by 25?
23
Let b = 10 - 6. Suppose -2301 + 387 = -319*p. Suppose -b*y + p = -j + 41, 3*y = 4*j - 140. What is the remainder when j is divided by 12?
11
Let z(h) = 16*h + 18. Let r be z(-2). Let b = r + 32. Let p = 139 - 68. Calculate the remainder when p is divided by b.
17
Let h(a) = a + 15. Let t be (2/(-3))/((-47)/141). What is the remainder when 287 is divided by h(t)?
15
Let v be (-7 - -6)*-2 - 2. Suppose 4*t - 2*t + 5*d = 109, v = 4*t + 5*d - 223. What is the remainder when 227 is divided by t?
56
Suppose -5*z + 380 + 115 = 0. Suppose -142 = 4*i - 4*b - 638, i + 4*b = z. Suppose -8 - 58 = -11*x. What is the remainder when i is divided by x?
5
Calculate the remainder when 446 is divided by (-2)/((-2)/198*-687 - 7).
17
Let n = 28907 + -28894. Let j(o) = -13*o - 6. Calculate the remainder when j(-4) is divided by n.
7
Let l(q) be the third derivative of q**4/4 - 5*q**3 + 26*q**2 - 4. Calculate the remainder when l(37) is divided by 28.
24
Suppose -4*x = -5*y, 2*y - 3*y = 0. Suppose x*c = -c - 3*c. Suppose 14*v - 8*v - 48 = c. Calculate the remainder when 30 is divided by v.
6
Let n(l) = -l**2 + 28*l + 3. Let a be n(21). What is the remainder when (-9 + a/12)*(-276)/(-7) is divided by 5*1/(1/7)?
33
Suppose 3*q + 2*z = 5*q - 4998, -5*z - 25 = 0. Calculate the remainder when q is divided by 52.
50
Suppose 5*d - 3*r - 47 = 0, -33*r = -3*d - 31*r + 27. Let g = 3 + -4. What is the remainder when 22/(-3)*(-4 - g) is divided by d?
9
Suppose -178*w - k - 100 = -179*w, 2*k - 382 = -4*w. What is the remainder when 1057 is divided by w?
87
Let o = -9729 - -9911. What is the remainder when 907 is divided by o?
179
Suppose -2*a = 13 - 57. Let p = 9 + 100. Suppose 4*i = 235 + p. What is the remainder when i is divided by a?
20
Let n = 346 + -182. Let r = -35801 - -35887. Calculate the remainder when n is divided by r.
78
Let y = 73 + -68. Suppose -60 + 450 = y*r. Let a = -58 + 98. Calculate the remainder when r is divided by a.
38
Let b = -1603 - -1691. What is the remainder when 342 is divided by b?
78
Let z = 18 + -18. Suppose z = 2*p - 8*p + 162. Suppose 5*q - q - 28 = 0. What is the remainder when p is divided by q?
6
Let i = 9115 + -9102. Let f(s) = -15*s - 3. Calculate 