8. Calculate the remainder when k(a) is divided by d.
11
Suppose 75*b = 69*b + 2094. Let h = b - 290. What is the remainder when h is divided by 12?
11
Let l(r) = r**2 + 3*r - 2. Let w be l(-5). Suppose -5*b = 15, -6*b + w*b - 46 = -i. Calculate the remainder when 98 is divided by i.
46
Let b(r) = 26*r - 6. Let p = 5 + 0. Suppose -93*q - 499 + 605 = -1847. Calculate the remainder when b(p) is divided by q.
19
Let q be (-15)/9*(-1443)/13. Let u = -24 + q. Calculate the remainder when u is divided by 9.
8
Let s(j) = -12*j - 45. Let m(i) = 35*i + 134. Let x(d) = 2*m(d) + 7*s(d). Let k be x(-8). Let t = k - 20. What is the remainder when t is divided by 4?
1
Let c(l) = 155*l - 6461. What is the remainder when 144 is divided by c(42)?
46
Suppose 6*l = 27 + 63. Suppose -3*x - l*x = -2790. Let z = x - 126. Calculate the remainder when 57 is divided by z.
28
Suppose -j - 4 = -6. Let t = -259 + 292. Suppose 2 = 4*l - z - t, z = j*l - 19. Calculate the remainder when 16 is divided by l.
0
Let v = 17 - -23. Let d(a) = -a**2 - 6*a + 32. Let p be d(-9). Suppose -p*n + 45 = -v. Calculate the remainder when 82 is divided by n.
14
Let r be -2 - -6 - (-1 + 1). Suppose 5*u = r*u + 3. Suppose -u*y + 264 = 3*y. What is the remainder when y is divided by 12?
8
Let q be 1 - 790 - 392/98. Let u = q + 799. Calculate the remainder when 44 is divided by u.
2
Suppose -4*p + 1352 = 4*k, -55*p = -57*p - 4*k + 692. What is the remainder when 1031 is divided by p?
41
Suppose 3*v + 20*v - 190 - 132 = 0. What is the remainder when 6466 is divided by v?
12
Let d be 2548/78*(-3)/2. What is the remainder when (-6503)/d + ((-36)/21 - -2) is divided by 34?
31
Let x(l) be the second derivative of 2*l**3/3 - 7*l**2/2 - 10*l. Let v be x(2). What is the remainder when 60 is divided by (-5)/(-5)*(22 + v)?
14
Let m = -25005 + 25040. Suppose 2*w = 5*h + 432, -w + h + 416 = w. What is the remainder when w is divided by m?
31
What is the remainder when (17 + 9)*(-18)/(-12) is divided by 19?
1
Suppose -4*x + 3*n = 839, 4*n - 1049 = -x + 6*x. Let v = x - -272. Calculate the remainder when v is divided by 15.
3
Let h = 4 + 48. What is the remainder when 2700/(-2100) - (-1087)/7 - (3 + 3) is divided by h?
44
Let j = -6886 + 6989. Calculate the remainder when 511 is divided by j.
99
Suppose -2*i + 76 = 2*m - 16, -8*i = 2*m - 260. Suppose o = 3*g - 13, -3*g + 29 = -0*o - 2*o. Let p = o + 23. What is the remainder when i is divided by p?
0
Let a(m) = 3*m**3 + 201*m**2 - 6*m - 64. What is the remainder when a(-67) is divided by 166?
6
Let m(d) = -13*d - 123. Let b be m(-37). Suppose 3*i - 3*k + 4*k - 271 = 0, -4*i + b = -2*k. What is the remainder when i is divided by 76?
14
Let u = -7486 - -7502. Suppose -117 = -7*d + 4*d. Suppose 2*h - d - 149 = 0. Calculate the remainder when h is divided by u.
14
Suppose 4*q + 10 = -2*a, -5*q + 3*a - 7 = -0*q. Let m be 90*(2 + 0/(-1)). Calculate the remainder when (-5 - 36/(-8))*m/q is divided by 17.
11
What is the remainder when 132 is divided by 4*(-9)/((-9)/14) + (-53 - -46)?
34
Suppose -575808 = -74*w - 118*w. Calculate the remainder when w is divided by 12.
11
Let q be 2 - 1 - (-5 - 3). Suppose -3*t = -q*t + 6. What is the remainder when 64 is divided by t + (3 + -2 - -20)?
20
Let t(b) = -3*b + 2. Let h = 56 - 50. Suppose 0 = h*c + 7 - 7. Calculate the remainder when 6 is divided by t(c).
0
Let v(g) = -8*g**2 + 441*g + 19. Suppose 0 = -3*q - 3 - 9. Let d(p) = -p**3 - 4*p**2 - 5*p - 5. Calculate the remainder when v(55) is divided by d(q).
14
Suppose u + 4*z - 784 = 0, -2*z - 779 = -u - 7*z. Calculate the remainder when u is divided by 246.
66
Let s(i) = -i**3 - 12*i**2 - 4*i + 88. Let m = 6 - -18. Calculate the remainder when m is divided by s(-11).
2
Let y(x) = -2*x + 28. Let z be y(12). Let o be (-16)/(-12)*42/z. Suppose -o*d = -9*d - 5. What is the remainder when d is divided by 1?
0
What is the remainder when 23597*26/91 - 11 is divided by 74?
71
Let c = -45419 + 45492. What is the remainder when 299 is divided by c?
7
Suppose 13154 = 79*z + 13*z - 7730. Calculate the remainder when 4776 is divided by z.
9
Suppose -256 = c - 2*c. Let j(q) = -2*q**2 - 159*q + 705. What is the remainder when c is divided by j(4)?
34
Suppose -27*x - 8920 = -47*x. Suppose 2*i - 76 = -3*y, i - 156 = -4*i + y. What is the remainder when x is divided by i?
30
What is the remainder when 322 is divided by -2*(-3*(-10)/(-15))/(4/284)?
38
Let w = 365 + -340. Suppose -w*t + 759 = -241. What is the remainder when t is divided by 3 + 1 + -3 + 8?
4
Suppose 12280*o + 9009 = 12319*o. Suppose 6*k - k = -15, -3*r + 21 = -k. Calculate the remainder when o is divided by r.
3
Suppose 0 = 10*w - 5*w - 1775. Let b = 103 - 82. Calculate the remainder when w is divided by b.
19
Let p be (-8)/(40/(-15))*6. Let r be (-12)/p - 98/(-3). Let x = r + -11. What is the remainder when 40 is divided by x?
19
Let w(x) = 5*x**2 + 5*x + 3. Calculate the remainder when (-98)/14 - -1 - -268 is divided by w(-3).
31
Suppose 0*z = 2*y - z - 192, -3*y = -4*z - 288. Let p be -2 + 3 + -1 + -3. What is the remainder when y is divided by (p/3)/((-2)/66)?
30
Let r = -107 - -77. Let s = r + -44. Let j = s + 76. Calculate the remainder when 6 is divided by j.
0
Let k = -969 - -262. Let x = k - -1271. What is the remainder when x is divided by 81?
78
Let t be (3/3)/(1/5). Suppose -428 = -t*l + 892. Calculate the remainder when l is divided by 53.
52
Let s(a) = -a**3 - 42*a**2 - 41*a + 179. Let t(k) = -2*k**3 - 28*k**2 + 9. What is the remainder when s(-41) is divided by t(-14)?
8
Let k be ((-2)/(-10) - (-5)/(-25)) + -3. Calculate the remainder when 125 is divided by (5 - 3/3) + k + 6.
6
Suppose 0 = 4*a - 5*g - 5733, 0 = 1991*a - 1989*a + 3*g - 2861. Calculate the remainder when a is divided by 354.
16
Let f = 807 - 519. What is the remainder when f is divided by 148?
140
Let q(r) = -337*r + 813. Calculate the remainder when 436 is divided by q(2).
19
Let m be (3*-1 + 20 + -17)/3. Suppose n + 2*l - 8 = m, 0 = 3*n - n - 4*l - 56. What is the remainder when 106 is divided by n?
16
Suppose 17*v + 211 = -27. Let c(o) = o**2 + 15*o + 21. Calculate the remainder when 20 is divided by c(v).
6
Let i(x) be the third derivative of -x**5/60 + x**4/4 + 27*x**2. Calculate the remainder when 214 is divided by i(2).
6
Let o(x) = -4*x**2 - 22*x + 47. What is the remainder when 936 is divided by o(-7)?
1
Let j be ((-28)/6)/((-2)/6). Let r = j - -1. Calculate the remainder when (59/(-6))/(2877/126 + -23) is divided by r.
14
Suppose 3*v + 24 = 3*o, -5*o - 3*v + 36 = -2*o. Let y = 64 - -25. What is the remainder when y is divided by o?
9
Let b = -3365 - -3460. What is the remainder when 405 is divided by b?
25
Let u be -6*(-1)/(-2) + 10/2. Calculate the remainder when 1/((-2)/174)*-1 is divided by (108 - 92) + u/(2/(-5)).
10
Let p(g) = -8*g**3 + 46*g**2 + 14*g - 3. Calculate the remainder when p(5) is divided by 39.
22
Suppose -46*d + 954 + 3646 = 0. Suppose 0 = 257*b - 255*b - d. Let n = 22 - 5. What is the remainder when b is divided by n?
16
Calculate the remainder when (61404/140)/(2/10) is divided by 12.
9
Let i(k) = 3*k**2 - 17*k + 25. Let f be (-7)/(-2) - 1/(-2). Suppose 0 = 4*q - 16 + f. Calculate the remainder when i(2) is divided by q.
0
Suppose -94*t + 126 = 2*m - 89*t, -4*t - 143 = -3*m. What is the remainder when 11128 is divided by m?
51
Let a(v) = -14*v - 60. Let b(x) = -43*x - 181. Let r(s) = -17*a(s) + 6*b(s). What is the remainder when r(-5) is divided by 20?
14
Let y be ((-14)/(-21))/2 - (-26)/3. Suppose -146 = -2*k + 14*a - y*a, 3*a = k - 71. Calculate the remainder when 330 is divided by k.
81
Suppose 3*m = -w + 208 + 181, 4*m + 4*w - 500 = 0. What is the remainder when 308 is divided by m?
44
Suppose s = -2 + 21. Suppose s*r + 212 = 23*r. What is the remainder when r is divided by 16?
5
Suppose -5*m = 2*u - 21 - 90, -3*m + 51 = -4*u. Let o = -253 + 419. Calculate the remainder when o is divided by m.
19
Suppose -16*r = -r - 30. Suppose r*n - 7 = 3*q + 38, 111 = 4*n + q. Calculate the remainder when 49 is divided by n.
22
Suppose -5*b + 44 = 4*v, -4 = 4*v - 8*v. Suppose 2*d - 95 = -5*t - 3*d, -4*d - 36 = -4*t. What is the remainder when t is divided by b?
6
What is the remainder when (-2403)/(-15)*385/33 is divided