ppose 5*y + 50 = -13*y + 176. Let k(w) be the second derivative of w**3/3 - w**2/2 - 2*w. Calculate the remainder when k(6) is divided by y.
4
Let c(z) = -z + 45*z**2 + 27 - 6*z - 43*z**2 + z - 4*z. What is the remainder when c(4) is divided by 19?
0
Suppose 0 = 5*l - 0 - 95. Suppose -127 = -3*h - l. Suppose -3*f = -4*f, 3*p + 2*f = h. Calculate the remainder when 46 is divided by p.
10
Let k(g) = 288*g**3 + 2*g**2 - g - 2. Let w be k(-1). Let r = w + 370. Calculate the remainder when r is divided by 21.
20
Let i be -4 - 3/(-1) - -3. Suppose 0 = -5*y + 3*n + 45, -2*n + 0*n + i = 2*y. Suppose -3*v + 684 = y*v. What is the remainder when v is divided by 20?
16
Let g(f) = -20*f - 12. Let l be g(-5). Let o = -130 - -135. Suppose o*i - l = 227. Calculate the remainder when i is divided by 6.
3
Let r be (-348)/(-5) - (-18)/(-30). Suppose 102 = 3*s - r. Suppose -33 = -9*k + s. What is the remainder when 58 is divided by k?
8
What is the remainder when 3489 is divided by ((-90)/(-3))/1*13/((-130)/(-6))?
15
Calculate the remainder when 27/(-180)*-40 - (-86)/(-4)*-36 is divided by 46.
44
Suppose -o + 2 + 5 = z, 65 = 5*o - 5*z. Suppose 16 - 422 = -25*t + 1069. What is the remainder when t is divided by o?
9
Let j be (2/2)/((-6)/(-132)). Suppose j + 28 = 2*b. Calculate the remainder when b is divided by 14.
11
Let f(h) = -h**3 - 135*h**2 - 519*h + 725. Calculate the remainder when 148 is divided by f(-131).
8
Suppose -2101 = -i + 1623. Calculate the remainder when i is divided by 62.
4
Let l = 4187 - 2386. Calculate the remainder when l is divided by 22.
19
Let q be -3 + (-1)/(-2) + 115/(-2). Let a = q + 63. What is the remainder when 4 is divided by a?
1
Let z = 15490 + 168. What is the remainder when z is divided by 15?
13
Suppose -d - 3 = -4*d, d + 187 = 4*j. Let r = 134 + -74. Let p = r + -52. What is the remainder when j is divided by p?
7
Suppose -6*n + a = -5*n + 25, 5*a = 15. What is the remainder when (n/(-66))/(2/264) is divided by 0 + 1 + (0 - -22)?
21
Let c = -25388 + 25665. Calculate the remainder when c is divided by 36.
25
Let i = 1143 - -4062. Calculate the remainder when i is divided by 8.
5
Let x = 17725 + -17696. What is the remainder when 4407 is divided by x?
28
Suppose 5*a = 4*i - 161, 280 - 135 = 5*i + 5*a. Suppose 0 = -4*t + 3*x + 651, 4*t - x - 723 = -66. What is the remainder when t is divided by i?
29
Calculate the remainder when 579 is divided by ((-172)/129)/((-3)/6*(-16)/(-174)).
28
Suppose 880 = 10*o - 730. Let d = 186 - o. What is the remainder when 120 is divided by d?
20
Suppose 0 = -t - u - 60, -4*u = 5*t - 2*u + 303. Let v = t - -95. Suppose -4*r = 5*g - 497, -r + 0 = -g + 103. What is the remainder when g is divided by v?
33
Let s = 4124 + -4107. Calculate the remainder when 76 is divided by s.
8
Let r = -3 - -15. What is the remainder when (38 - 22)/(1 + (-28)/32) is divided by r?
8
Let f(x) = -3*x + 11. Let z be f(3). Calculate the remainder when z*(-1 + 2 - -39) is divided by 23.
11
Let y(r) be the second derivative of -r**4/12 - r**3/2 - 3*r**2 + 11*r. Let v be y(-2). What is the remainder when (8/6)/(((-24)/54)/v) is divided by 4?
0
What is the remainder when ((-12)/(-24))/((-2043)/1022 + 2) is divided by 29?
18
Let u = 85 - 103. Let z = 94 + u. Suppose 9*m = 8*m + 40. Calculate the remainder when z is divided by m.
36
Suppose -d + 172 = d. Suppose 0 = -2*i + 4*l + 20, 3*l - 175 = -154. What is the remainder when d is divided by i?
14
Suppose -4*x = -3*b + 1830 + 383, 0 = x - 4. Calculate the remainder when b is divided by 124.
123
Let l = 951 + -335. Suppose 4*h = -3*u + l, -h - 3*h + 5*u = -616. Let q(g) = g**3 - 13*g**2 + 14*g + 7. What is the remainder when h is divided by q(12)?
30
Let j(w) = -4*w - 13. Let d = 23 - 45. Let h = -17 - d. Calculate the remainder when j(-10) is divided by h.
2
Calculate the remainder when 330 is divided by 34 - ((25 - 26) + (-3 - -2) + 2).
24
Suppose -5*a - 25 = 0, -2*a + 5 + 30 = r. What is the remainder when (-64)/80 + ((-11)/((-22)/(-3)) - (-6669)/30) is divided by r?
40
Let z(n) = 15 - n**2 - 3*n + 4*n - n**2 + 3*n**2. Let d(b) = 15*b - 1. What is the remainder when d(6) is divided by z(0)?
14
Suppose -4*a + u + 2038 = -297, 1752 = 3*a - u. Calculate the remainder when a is divided by 38.
13
Let h = -29 + 34. Suppose -53 = -3*r + 4*c, 0 = 2*r - 5*c - 8 - 39. What is the remainder when r is divided by h?
1
Let d = -389 + 401. Let i(b) = -2*b**3 + 28*b**2 - 26*b + 5. Calculate the remainder when i(d) is divided by 45.
44
What is the remainder when (-247)/(-2) + 1/2 is divided by -2 - 6 - (-52)/2?
16
Let q be (-3)/3*(4 + -1 - 3). Suppose -4*t - 5*h = -77, -3*t + q*h - h + 55 = 0. What is the remainder when t is divided by 12?
6
Suppose -47 + 111 = 16*o. Suppose -9 = -0*k - 3*k. Suppose -5*i + 3*q = -11 + 4, 0 = 3*i + k*q - 9. Calculate the remainder when o is divided by i.
0
Let c(y) = 311*y**2 + 17*y + 17. What is the remainder when c(-1) is divided by 1?
0
Let f = 4083 + -4048. Calculate the remainder when 93 is divided by f.
23
Suppose 23*x - 3628 - 15232 = 0. Calculate the remainder when x is divided by 113.
29
Let f(u) = 24 + 7*u**2 - 8*u**2 - 2*u**3 - 3*u**2 - u + u. Calculate the remainder when f(-4) is divided by 25.
13
Suppose 109 + 188 = 3*p. Let t be ((-535)/75 - -2) + (-2)/(-15). What is the remainder when p is divided by 30 + (25/t)/((-1)/1)?
29
Let x(i) = -3*i - 4. Let p(h) = -h + 4. Let j be p(6). Let s(z) = -1. Let m(f) = j*s(f) + x(f). What is the remainder when 49 is divided by m(-4)?
9
Suppose 27 = -19*q + 313 + 512. What is the remainder when 456 is divided by q?
36
Suppose -28 = 61*k - 62*k. Suppose -d - k = -16. What is the remainder when (-52)/d + -4 - 825/(-9) is divided by 32?
28
Let y = 4364 + -4269. What is the remainder when 485 is divided by y?
10
Suppose 0 = 2*c - 2*z - 1068, z - 1344 + 261 = -2*c. Calculate the remainder when c is divided by 292.
247
Suppose -6*h + 5*h + 61 = 0. What is the remainder when h is divided by (-2211)/(-88) + -1 + (9 - (-146)/(-16))?
13
Let g = -1907 + 1950. Calculate the remainder when g is divided by 17 + 2/2 - 3.
13
Suppose -9 - 21 = -6*d. Let c be 2/1 - (5 - (d + 20)). Calculate the remainder when 29 is divided by 174/11 + c/121.
13
Let f = -42 + 71. Calculate the remainder when f is divided by (6/(-4) - 3)*(-5 - 13/(-3)).
2
Suppose -9*i - 5*i = -294. Suppose -z + 5 = 3. Suppose -55 - 67 = -z*h. What is the remainder when h is divided by i?
19
Let r = 24405 - 24378. Calculate the remainder when 6335 is divided by r.
17
Let j = -540 - -599. Suppose -53*l = -j*l + 714. What is the remainder when l is divided by 10?
9
Let m(x) = -8*x - 71. Let n be m(-11). Let i = 14 + n. Suppose -7*z + 102 = -z. What is the remainder when i is divided by z?
14
Let a(p) = -3*p - 38. Let q(u) = -4*u - 38. Let s(d) = 5*a(d) - 4*q(d). Let w be s(-7). Let n = w + 59. What is the remainder when 31 is divided by n?
3
Let c = 232 - 229. Suppose 4*v + l - 34 = 2*v, 5*l = -c*v + 65. What is the remainder when 298 is divided by v?
13
Let t(g) be the first derivative of -3*g**2 + 8*g - 17. Let w be t(3). What is the remainder when (1704/(-30))/(4/w) + 1 is divided by 36?
35
Suppose 0 = -466*k + 491*k - 3150. What is the remainder when k is divided by 17?
7
What is the remainder when (-6080)/(-12)*(-27)/(-18) - -11 is divided by 1?
0
Let d(u) = 8*u**2 - 2. Calculate the remainder when 193 is divided by d(2).
13
Suppose -158 = -w - 26 - 2. What is the remainder when 237 is divided by w?
107
Calculate the remainder when ((-660)/550)/(((-1)/(-35))/((-14)/4)) is divided by 13.
4
Let p be 4/64*-4 + (-42)/(-8). Suppose p*x - 30 = -5. Calculate the remainder when 37 is divided by x.
2
What is the remainder when 221 is divided by 2*(2 - -10)*(6 + 13 + -15)?
29
Suppose 0 = n - 8*j + 6*j - 9, n - 11 = 4*j. Suppose -4*i + n*i = -5*z + 106, -3*z + 6 = 0. What is the remainder when i is divided by 23?
9
Let w be 11/22 - 939/6. Let i = 181 + w. Calculate the remainder when 70 is divided by i.
20
Let i(s) = s + 5. Let f be i(-8). Suppose 2*g = -0*g + 16. Calculate the remainder when g is divided by f + 2 + -3*2/(-1).
3
What is the remainder when 256 is divided by -12*17/(-816)*636?
97
Suppose -24*q + 19*q = b - 136, b = -q + 24. Calculate the remainder when