Let h(p) = -12*p - 106. Calculate the remainder when 54 is divided by h(z).
12
Suppose 80*o = 77*o - 3*u + 2847, -4*o - u + 3772 = 0. What is the remainder when 3768 is divided by o?
4
Let j(w) = 2*w**2 + 5*w + 4. Let o be j(-2). Suppose 6*h - 565 = h. Calculate the remainder when h is divided by (o - -2) + (18 - -7).
26
Let o = -22314 - -22833. Calculate the remainder when o is divided by 137.
108
Suppose 2*t - 7*i = -5*i + 66, -5*t - 3*i = -133. Let d(g) = 2*g**3 + 27*g**2 + 11*g - 41. Calculate the remainder when d(-12) is divided by t.
27
Let a(o) = o + 6. Let u be a(0). Suppose -3*j + 8*p - u*p + 746 = 0, 2*p = -j + 254. Calculate the remainder when j is divided by 28.
26
Suppose -14 = 17*u - 10*u. Let k(n) = -19*n**3 - 5*n**2 - 6*n - 14. Calculate the remainder when k(u) is divided by 69.
61
Let n(z) = 36*z - 78. Suppose -103*u + 106*u = 12. What is the remainder when 197 is divided by n(u)?
65
Let j(q) = 34*q**2 - 55*q - 67. What is the remainder when 1298 is divided by j(-3)?
86
Suppose 2*f + 290 = 5*y, -6*y + y + 280 = -4*f. Calculate the remainder when y is divided by 19.
3
Let u = -6563 + 11223. What is the remainder when u is divided by 1163?
8
Let g(n) = -13*n + 31. Let q be g(11). Let l = 157 + q. What is the remainder when l is divided by 56/(-21)*(1 + -7)?
13
Let g(c) = c**2 + c - 7. Let y be g(-4). Let r be (0 - (y - -2 - 3)) + 8. Suppose -2*v + 50 = -f, r*f = -13 - 3. What is the remainder when 63 is divided by v?
17
Let n(h) = -150*h**3 - h**2 + 2*h + 1. Calculate the remainder when n(-2) is divided by 70.
3
Suppose -3*j = 5*t - 10273, -202*j - 2*t + 6854 = -200*j. Calculate the remainder when j is divided by 5.
1
What is the remainder when 70 is divided by 288/528 + (-604)/(-22)?
14
Suppose -o = 5*x + o - 8, 0 = -x - 2*o + 8. Calculate the remainder when 26 is divided by x + 13 - 3/(-1).
10
Calculate the remainder when 769 + 2 - (-32)/4 - 63/7 is divided by 241.
47
Suppose -574*y + 577*y = 39. Calculate the remainder when 8319 is divided by y.
12
Let c = 33 - 17. Let x = 34 + 10. What is the remainder when x is divided by c?
12
Let p = -63 - -193. Let r = p + -99. Calculate the remainder when 91 is divided by r.
29
Suppose -138*m + 204 = -2970. What is the remainder when 43 is divided by m?
20
Suppose -4*t - 2*n + 76 = 0, t + 1 = 4*n + 29. Let q(l) = 5*l - 87. What is the remainder when 98 is divided by q(t)?
7
Let p = 21 - 15. Suppose -2*v + 5*y - 7*y + 520 = 0, -232 = -v - 5*y. What is the remainder when v is divided by p?
3
Calculate the remainder when (-7 - 2/(-9)*-9) + 439 - -9 is divided by 185.
69
Suppose 2*s - 29*w = -26*w + 66, 3*s - w - 78 = 0. What is the remainder when 189 is divided by s?
21
Suppose 4*v - 2*p = 414, 5*v + 0*p + p = 507. Calculate the remainder when 505/2*220/275 is divided by v.
100
Let i(n) = 1. Let y(p) = -11*p + 12. Let t(f) = -6*i(f) + y(f). Let z be t(-8). Let a = z + -47. What is the remainder when 184 is divided by a?
43
Suppose 0 = -2*z - 2*z + 4*a + 120, z - 4*a - 42 = 0. Let p(o) = -4*o + 79. What is the remainder when p(-4) is divided by z?
17
Let p(z) = -5*z - 3. Let r be p(0). What is the remainder when (r/(60/(-32)))/((-3)/(-150)) is divided by 28?
24
What is the remainder when 129 is divided by (-12)/(-36) + 44/3 + -5?
9
Let s(u) = u**3 + 7*u**2 - 10*u - 12. Let i be (-4)/(-6) + -122*5/(-30). Suppose 8*y - i = 5*y. What is the remainder when y is divided by s(-8)?
3
Let q = -481 - -461. What is the remainder when 78 is divided by (17/34)/(-1 - 21/q)?
8
Let p = -780 - -871. Let x(f) = -6*f - 43. Calculate the remainder when p is divided by x(-11).
22
Calculate the remainder when (-384)/256 + (-10410)/(-4) is divided by 15.
6
Suppose l = 3*x - 0 - 9, -2*x + 11 = l. Let i(m) = 2*m - 7. Calculate the remainder when (-15)/5 + 100 - x is divided by i(13).
17
Let u(i) = -5*i - 9. Let z = -3734 - -3770. Calculate the remainder when u(-18) is divided by z.
9
Let p(w) = -w**2 + 63*w**3 - 133*w**3 + 4*w**2 + 69*w**3 + 2 + 6*w. Suppose -m = 4*f - 3, m - 1 = 3*f + 2. What is the remainder when p(4) is divided by m?
1
Calculate the remainder when (-23)/((-368)/(-1696))*101/(-2) is divided by 35.
33
Suppose 13*r - 2*c + 760 = 17*r, 0 = -3*r - 5*c + 549. What is the remainder when r is divided by 47?
5
Let p(y) = 2*y + 2. What is the remainder when ((-14)/4)/((-31)/124 - (-9)/(-36)) is divided by p(2)?
1
Suppose 477 = -6*g - 351. Let r = g + 144. Suppose -m = m - 82. Calculate the remainder when m is divided by r.
5
Suppose 0 = 307*h - 332*h + 108475. Calculate the remainder when h is divided by 155.
154
Let c be -2*(3 + -2 - (6 + 0)). Suppose -155 = -c*t + 85. What is the remainder when (-2)/(-5) - (-3528)/30 is divided by t?
22
Suppose -1755 - 5630 = -35*z. Suppose 5*q = 79 + z. Calculate the remainder when q is divided by 10.
8
Let y(k) be the second derivative of 13*k**4/12 - 2*k**3/3 - 4*k**2 + 81*k. Calculate the remainder when 200 is divided by y(-2).
44
Suppose 0 = -1242*j + 1239*j - 5*u + 10446, -4*j + 13870 = -3*u. Calculate the remainder when j is divided by 99.
7
Let z(i) = 2*i**2 + 31*i - 312. What is the remainder when z(-25) is divided by 51?
10
Suppose 73*x + 2*q = 74*x - 1606, 4*q - 16 = 0. What is the remainder when x is divided by 135?
129
Suppose -38*y + 41*y + 2*c - 214 = 0, -4*y = 5*c - 297. What is the remainder when 219 is divided by y?
15
Let k = 9017 + -6818. What is the remainder when k is divided by 200?
199
Suppose 4363*v - 4028*v - 13065 = 0. Calculate the remainder when v is divided by 82/4 - 3/6.
19
Let p be -13*(9/(-2))/(1/6). What is the remainder when 137 is divided by 176/18 + 78/p?
7
Suppose -2*v + 46 = 5*j - 35, 2*v - 4*j - 54 = 0. Suppose -v*k + 35*k - 6 = 0. What is the remainder when 19 is divided by 8/3 - (-1)/k?
1
Calculate the remainder when (-202745)/(-123) - -16 - 2/(-3) is divided by 34.
33
Let k be 423 - 3/(9/(-24)). Suppose 0 = 11*u - 75 - k. Calculate the remainder when u is divided by 7.
4
Let j(d) be the first derivative of d**4/4 + 19*d**3/3 + 17*d**2/2 - 36. Suppose -59 = -b + 48. Calculate the remainder when b is divided by j(-18).
17
Let y(s) = -35*s + 2405. What is the remainder when 936 is divided by y(62)?
231
Let d = 35 - -5. What is the remainder when d is divided by (-6)/(-1)*3/6*4?
4
Suppose -t + q = -4, 2*t = -0*t + 5*q + 11. What is the remainder when ((-56)/(-10))/((-10)/(-425)) is divided by ((-360)/(-27))/(1/t)?
38
Calculate the remainder when 2005 is divided by (-54)/10*(-4520)/678.
25
Let t(h) = -h**3 + 5*h**2 + 7*h - 1. Let m be t(6). Suppose m*v - 6*v - 107 = 5*d, d = -5*v - 535. Let g = 1 - v. What is the remainder when g is divided by 37?
34
Let f = -18 - 20. Let m = 85 - 48. Calculate the remainder when m is divided by f + 42 + 1*9.
11
Let o = -90 + 95. Suppose -4*n - 8 = -4*c, c = -4*n + 3*c + 2. Suppose n*d = 2*p - 60, -3*p + 87 = o*d - 8*d. What is the remainder when p is divided by 16?
11
Suppose 76*u = 162*u - 8944. Calculate the remainder when u is divided by 29.
17
Suppose -3*x - 3*t = -0*t - 24, -t - 52 = -5*x. Suppose 10179 = -x*n - 43971. What is the remainder when (-1)/8 + n/(-120) is divided by 17?
11
Let f(q) = -q - 32. Let b be f(-26). Let j be 9/(-6)*(3 + 38/b). Suppose j*v = 70 + 15. What is the remainder when 24 is divided by v?
7
Let b be (80/50)/(10/25). Suppose 3*s = -2*u + 421, 324 = 2*s + b*u + 54. Calculate the remainder when s is divided by (-81)/(-5) - 1/5.
15
Calculate the remainder when (1683/((-63)/(-7)))/(-4 - 29/(-7)) is divided by 42.
7
Suppose -2*r - 99 = 7*n - 8*n, 3*n - 2*r - 309 = 0. Calculate the remainder when n is divided by -5*((-72)/40 - 1*3).
9
Let y = -524 - -540. Let t(z) be the first derivative of -z**4/2 - 2*z**3/3 - 3*z**2/2 + z - 9. Calculate the remainder when t(-3) is divided by y.
14
Suppose 0 = 2*x - 477*z + 474*z - 185, 4*x - 366 = 2*z. Calculate the remainder when 264 is divided by x.
82
Let h = 118 - 32. Let z = h - 74. What is the remainder when 117 is divided by z?
9
Suppose -t = 2*t, 2*t + 215 = 5*a. Let v be 8/24 - (-3749)/3. What is the remainder when (-2)/6 + v/15 is divided by a?
40
Let w = -564 - -606. What is the remainder when 458 is divided by w?
38
Let n = 10704 + -10658. Let h(v) = -v + 227. What is the remainder when h(0) is divided by n?
43
Suppose 