e the remainder when 2021 is divided by (3/10)/(660/1102200).
17
Let r = -12555 + 12495. Suppose -21 - 99 = -5*f. Let u = f - r. What is the remainder when u is divided by 30?
24
Let m be 3/(-12) + (-338)/(-8). Suppose -7836 = 9*o - 7881. Calculate the remainder when 55 is divided by m/o + 14/(-35).
7
Let p(i) = i**3 - 5*i**2 + 4*i - 4. Let o be p(4). What is the remainder when 4/(-18) - (3256/18)/o is divided by 12?
9
Suppose -15 = -4*z + 3*x, 5*z = 4*z - 5*x + 21. Suppose -z*n + 42 = n. Suppose -p - w = -10, 4*p = 3*p + w + n. Calculate the remainder when 14 is divided by p.
6
Let b(a) = 2*a**2 - 68*a + 50. Let t be b(33). Suppose -r + 20 = -0*r. What is the remainder when t/24 + 220/6 is divided by r?
16
Let f(x) = 8*x + 2. What is the remainder when f(8) is divided by 14*((-91)/(-26) + -1)?
31
Let p(v) be the second derivative of 5*v**4/12 + 2*v**3 - 12*v**2 - 63*v. Calculate the remainder when 613 is divided by p(-5).
39
Let v be ((-30)/8)/(21/(-4676)). Calculate the remainder when 16/20*5/5*v is divided by 14.
10
Suppose -38*r + 4*y = -43*r + 340, -3*r + 236 = -4*y. Calculate the remainder when 1650 is divided by r.
66
Suppose 5*g = -15, -3*g + 1011 = 47*r - 42*r. Calculate the remainder when r is divided by 26.
22
Suppose 0 = -29*d + 35*d - 54. Suppose -55 = d*s - 118. Suppose 2*h + 5*a - 35 = 0, 2*a = 6 + 4. What is the remainder when s is divided by h?
2
Let u(w) = w**3 + 11*w**2 - 2*w - 14. Suppose -a = 8*a + 99. Calculate the remainder when u(a) is divided by (((-75)/6)/(-5))/(1/2).
3
Suppose 0 = -0*b - 3*b + 63. Suppose -2*i - 3*i + 20 = 0. Suppose 3*z - 220 + 6 = -i*v, 2*v + 3*z - 104 = 0. Calculate the remainder when v is divided by b.
13
What is the remainder when ((-992)/(-48))/((-3)/(-18)) is divided by 26?
20
Suppose 30*v - 208992 = -54*v - 0*v. Calculate the remainder when v is divided by 166.
164
Suppose 113178 + 284490 = 62*d. Calculate the remainder when d is divided by 31.
28
What is the remainder when 4563 is divided by 9 - 20/70*-161?
53
Suppose 0 = -0*j - 5*j + 2*l + 59, -2*j + 35 = 3*l. Suppose 75 = 3*k - 5*c, -5*k + j = -4*c - 125. What is the remainder when 52 is divided by k?
22
Let p(g) = -6*g**3 - 10*g**2 + 8*g - 18. Calculate the remainder when p(-8) is divided by 16.
14
Let b be (9/18 + (-286)/(-4))*-3. Let r = -133 - b. What is the remainder when r is divided by 29?
25
Suppose 0 = 4*o - 4 - 4. Suppose o*j = j + 74. Calculate the remainder when j is divided by 414/22 - ((-312)/143 - -2).
17
What is the remainder when 1444 is divided by (28/(-2))/(((-110)/(-33))/(-5))?
16
Suppose 0 = 3*o - 119 - 88. Suppose 0 = 5*k - 2*k - o. Let q(l) = -l**3 + 11*l**2 + 11*l + 24. Calculate the remainder when k is divided by q(12).
11
Let v(j) = -8*j + 111. Let n be v(14). Calculate the remainder when 120 is divided by (-19)/((n/2)/((-10)/(-20))).
6
Let k(i) = i**3 - 18*i**2 + 105*i - 58. Calculate the remainder when k(17) is divided by 36.
34
Let k = 5825 - 5811. Suppose -v - 3*v = -212. What is the remainder when v is divided by k?
11
Let y(o) = -o**3 - 5*o**2 - 4*o + 7. Let l(q) = -9*q**2 - 146*q - 13. What is the remainder when y(-6) is divided by l(-16)?
10
Let w(h) = -10*h + 4. Let d(j) = j. Let z(v) = -3*d(v) - w(v). Let u be z(3). Let r = 36 - u. What is the remainder when 24 is divided by r?
5
Let v(m) = -5*m - 90. What is the remainder when 408 is divided by v(-20)?
8
Let o(z) be the first derivative of -7*z + 2*z**2 - 11 + 1/4*z**4 + 8/3*z**3. Calculate the remainder when 26 is divided by o(-7).
12
Suppose -3*m + 750 = 3*d - 519, 405 = d + 4*m. What is the remainder when d is divided by 213?
3
Suppose -g = -4*v + 4*g + 33, 75 = 5*v + 5*g. Let p(r) = 3*r + 6 - 19 - 2*r + 2*r. What is the remainder when 43 is divided by p(v)?
20
Let x(g) = g**2 - 8*g - 3. Let b be x(7). Let w be (17 + -26)/((-3)/b). Let v = -21 - w. What is the remainder when 35 is divided by v?
8
Let t(v) = -18*v + 114. Let j be t(6). Suppose j*b - 251 = -221. Calculate the remainder when 8 is divided by b.
3
Suppose 1038*y - 1043*y = -35. Calculate the remainder when 8482 is divided by y.
5
Suppose -8*t + 504 = -26*t. Let d = 71 + t. What is the remainder when d is divided by 9?
7
Let a be 8/18 + 13120/45. Let h = a - 250. What is the remainder when 85 is divided by h?
1
Suppose 2*b - 451 = -3*y, -437 = -3*y - 14*b + 19*b. What is the remainder when y is divided by 28?
9
Suppose 42*r - 4476 = -46*r + 5028. Let u(j) = j**2 + j + 28. What is the remainder when r is divided by u(0)?
24
Suppose -2*t = 2 - 0. Let s be 2 + ((-62)/6)/(t/3). Suppose -3*x - 22 = -o, x - 45 = -5*o + s. What is the remainder when 79 is divided by o?
15
Let r = -131 - -164. Let g(j) = j**2 - 10*j + 17. Calculate the remainder when r is divided by g(9).
1
Let j(l) = -23*l - 61. Let s be j(-5). Calculate the remainder when (36/s)/(3/1233) is divided by 92.
90
What is the remainder when (3500/84*42/(-4))/((-2)/4) is divided by 146?
145
Suppose 2053 = -201*h + 202*h - 4*f, 3*h - 4*f = 6191. What is the remainder when h is divided by 67?
59
Suppose 0 = 1074*l - 1078*l. Suppose 4*c + 4*j - 40 = -l*c, -5*c + 2*j + 36 = 0. Calculate the remainder when ((-2)/4)/(1/(-40)) is divided by c.
4
Let m(b) = -b**2 - 13*b - 11. Let n be m(-13). Let j = n - -30. Suppose -3*x + 55 = j. What is the remainder when 45 is divided by x?
9
What is the remainder when 13619 is divided by (76/14 + -6)*(-973)/2?
275
Let u(b) = -2*b**2 + 9*b + 18. Let w be u(6). Let j = 54 - 16. Suppose w = -m - t + 6*t + j, -4*t = 16. What is the remainder when 52 is divided by m?
16
Let k(x) = 2*x**2 + 158*x + 22. What is the remainder when 36804 is divided by k(0)?
20
Let a = -7658 - -7711. What is the remainder when 1906 is divided by a?
51
Suppose 2527 - 33547 = -20*s. What is the remainder when s is divided by 21?
18
What is the remainder when 3347 is divided by -1 + -63*2/(-14)?
3
Let k be -13 - (3/5)/(3/(-15)). Let s be 5/((-25)/k) - -1. Suppose -s*f + d + 76 = f, -38 = -2*f - d. Calculate the remainder when 55 is divided by f.
17
Let x = -35 - -59. Let v(k) = 2*k - 42. Let a be v(x). Suppose -2*i = -4*i + a. What is the remainder when 6 is divided by i?
0
Suppose -2*a = -5*v - 256 + 70, 4*a + 7*v = 474. What is the remainder when 620 is divided by a?
80
Let d = 8604 - 8427. What is the remainder when 430 is divided by d?
76
Suppose -z + 5*m + 274 = 0, -1611*z + 1286 = -1606*z - 4*m. Let c(v) = 3*v**2 + 6*v + 6. Calculate the remainder when z is divided by c(-5).
50
Let l = -671 - -679. Suppose -3*o + 134 = l. Calculate the remainder when o is divided by 2.
0
Suppose -17397 = -2*j - 3*l, -3*j - 2*l + 21574 + 4534 = 0. Calculate the remainder when j is divided by 134.
130
Let x(o) = 51*o + 1703. Let z(g) = g**2 + 6*g - 9. Suppose -15 = -5*p - 60. Calculate the remainder when x(-32) is divided by z(p).
17
Suppose 67*t = 60*t + 112. Suppose -8*u + 6*u - 5*f = -80, 2*u - 40 = 5*f. Calculate the remainder when u is divided by t.
14
Suppose -3*c = -7*c - 12. Calculate the remainder when 1 + (254 - c) + -2 is divided by (2 + -4)*129*4/(-24).
41
Suppose -465*i - 139 - 767 = -471*i. What is the remainder when 2265 is divided by i?
0
Let m(x) = -8*x**3 - 8*x**2 - 4*x + 43. What is the remainder when m(-6) is divided by 56?
51
What is the remainder when (-46055)/(-604)*(-12)/(-5) is divided by 80?
23
Suppose 2*k + 4*o - 624 = 0, 2*k - 290*o = -288*o + 636. Calculate the remainder when k is divided by 38.
12
Suppose t = 4*a + 13, 0*t + 3*a = 4*t - 13. Suppose k + y = 2*k, 4*k - 5*y + t = 0. What is the remainder when (-52)/13*k*-31 is divided by 43?
38
Suppose -i - r + 48 = 0, i + 3*r - 44 = 12. Suppose 22*j - 8*j = 420. Suppose 16 = 2*p - j. Calculate the remainder when i is divided by p.
21
Suppose 11*w + 4216 = 12429 + 9618. What is the remainder when w is divided by 232?
229
Suppose 4*m - 136 = -0*m. Suppose 4*j = 4, -4*p = p - 3*j - 7. Suppose -4*k - 4 = -2*v - p*k, -k = 2*v - 16. What is the remainder when m is divided by v?
4
Suppose 2*m = -5*q + 10, 4*q + 39 - 50 = -m. Suppose -3*c - 76 = -p, 0 = 3*p - q*p + 2*c + 78. Calculate the remainder when p is divided by 17.
14
Suppose 0 = x + l - 20, -55 = -3*x + 4*l - 9. What is the remainder when 69 is divided by x?
15
Let z(r) = -5*r**3 + 41*r**2 - 8*r - 2. Let h be z(8)