k + 64*k. What is the remainder when k is divided by 456?
13
Let c(x) be the second derivative of -x**5/20 - x**4/3 + x**3 + 5*x**2 + 42*x. Calculate the remainder when c(-8) is divided by 55.
53
Suppose -4*h + 4752 = 572*p - 575*p, -4*h + 4732 = 2*p. Calculate the remainder when h is divided by 570.
45
Suppose 0 = -4*s - 2*h + 726, -s + 41 = 8*h - 133. What is the remainder when 486 is divided by s?
122
Let d = 1978 - 904. Suppose 5*k + k - d = 0. Calculate the remainder when k is divided by 9.
8
Let a(c) = 110*c + 2677. What is the remainder when 678 is divided by a(-24)?
12
Let g = 27580 - 27538. What is the remainder when 2299 is divided by g?
31
Suppose -u - 289 = -291, 0 = -4*m + 3*u + 1410. Calculate the remainder when m is divided by 24.
18
What is the remainder when ((-1)/((-5)/6))/((-43)/(-146200)*15) is divided by 45?
2
Let m = 48 + 301. Suppose -253 = -14*z + m. Let d(y) = -y**3 + 5*y**2 - 3*y + 5. What is the remainder when z is divided by d(4)?
7
Let k = -755633 - -755647. What is the remainder when (-2)/3 + 245/3 is divided by k?
11
Let d(j) = -j**3 + 12*j**2 + 4*j - 19. What is the remainder when 39 is divided by d(12)?
10
Suppose 0 = g + 3*q - 24, 17 - 127 = -4*g + 2*q. Let o be 6/g - (-3)/((-108)/(-316)). Suppose -18 = -o*c + 6*c. Calculate the remainder when 53 is divided by c.
5
Let l(q) = 3*q**2 + 154*q - 63. What is the remainder when l(-52) is divided by 18?
5
Let x be -2 + ((-20)/(-5) - 6). Let i be (0/(x - 1))/2. Suppose -174 = -4*m + 5*a, i = -3*m + 5*m - a - 84. Calculate the remainder when 162 is divided by m.
39
Let m(r) = 101*r**3 + 4*r**2 + 50*r - 107. Calculate the remainder when m(2) is divided by 206.
199
Suppose -4*p - 25 = 4*f - 37, -f + 3 = -p. Suppose -7*v + 2575 = -2*v + 5*n, -3*n = p. What is the remainder when v is divided by 47?
45
Suppose -5*s - t + 95 = 0, s = -3*t + t + 10. Let j = s + 27. Let y = j + -26. Calculate the remainder when y is divided by 8.
5
Let w = -3 - -9. Let q = w - -7. Suppose -14*y = -42 - 84. Calculate the remainder when q is divided by y.
4
Suppose -5*a = 4*s - 111, s - a = 3*s - 63. Suppose 4*d - s = -q, -2*q + 5*d = -q - 61. What is the remainder when q is divided by 13?
7
Suppose -2*u = -24*z + 19*z - 393, -12 = -4*z. Suppose u + 1206 = 15*o. Suppose 103 = 5*b + 23. Calculate the remainder when o is divided by b.
14
Suppose 4*w - 2*k = 488, -2*k = -41*w + 40*w + 119. Calculate the remainder when w is divided by 77.
46
Suppose -2*t = -g - 176, 5*g = -26*t + 28*t - 176. What is the remainder when t is divided by 66?
22
Let x(g) = 3*g**3 - 5*g**2 + 5*g - 10. Let d be x(3). Let m = 12 + d. Let v = -20 + m. What is the remainder when v is divided by 18?
15
Suppose -60*q + 70*q = 20. What is the remainder when (-206 - q)*1/(2/(-1)) is divided by 37?
30
Let r = 13477 - 11916. What is the remainder when r is divided by 56?
49
What is the remainder when (-20148)/8*(56/24 - 3) is divided by 12?
11
Suppose -3*o + 36 = -2*o. Calculate the remainder when (-3 - -6 - 6)*(-7654)/129 is divided by o.
34
Let y = 242 - 34. Suppose 0 = -10*t + y + 112. Suppose -3*z + 413 = -64. Calculate the remainder when z is divided by t.
31
Suppose 4*f - 5*q = 3 + 2, -3*f = -2*q - 2. Suppose f = 2*a, -254 - 1153 = -3*c + 4*a. What is the remainder when 59 is divided by (-2)/(-8) - (5 - c/28)?
11
Suppose 0*k = 3*k - l - 26, -3*k - 4*l + 31 = 0. Let o be 5 + -2 + (11 - k). Calculate the remainder when 114 is divided by (o - 3)/((-1)/(-29)).
56
Let q be -1*(-5 + 1 + 21/(-1)). Suppose 1205 + 895 = q*c. Suppose -5*x - 4*l = -129, 0 = 4*x - 2*l - 2*l - 132. Calculate the remainder when c is divided by x.
26
Let x(v) = -604 - v**3 + 16*v**2 + 0*v**3 + 573 - 9*v. Calculate the remainder when 410 is divided by x(15).
56
Let q = -607 - -467. What is the remainder when ((-2)/(-4))/((-2)/(-60)) is divided by (8/14)/((-20)/q)?
3
Suppose 802 + 2647 = 58*b - 263. What is the remainder when 1023 is divided by b?
63
Let g = 40 + -36. Suppose -i = 3*i + 4*m - 108, g*i + m = 120. Calculate the remainder when i is divided by 7.
3
Suppose s + 126 = 2*s + 5*r, 441 = 4*s - r. Let m be 1258/s*3/2. Let a(w) = 3*w - 46. What is the remainder when 11 is divided by a(m)?
1
Calculate the remainder when 1021 is divided by (8/(-6))/2 - -2*(-10089)/(-54).
275
Let k = -8261 - -8372. Suppose 0 = -3*z, -4*l + 6*l - 3*z - 68 = 0. What is the remainder when k is divided by l?
9
Suppose 0 = -41*p + 2095 - 1849. What is the remainder when 332 is divided by p?
2
Let v be (-2)/(-3*(-2)/(-210)). Suppose -2*s = -4*b - v, 11*s - 4*b = 13*s - 110. What is the remainder when 132 is divided by s?
42
Let k(x) = x**3 - 16*x**2 + x - 11. Let b be k(16). Suppose 4*v = b*j + 228, 6*v - 10*v = -3*j - 220. Calculate the remainder when 310 is divided by v.
50
Let d be 4/10 + 88274/190. Suppose 5*r - d = l, -16 = 4*l + 4. Calculate the remainder when r is divided by 49.
43
Let l = -183 + 155. Calculate the remainder when 390 is divided by (l/(-42))/((-4)/(-474)).
74
Let f = 15 - -10. Suppose -19*h = -509 - 859. What is the remainder when h is divided by f?
22
Let u = 12883 + -12842. What is the remainder when 4837 is divided by u?
40
Let m(u) = 73*u**2 + 3*u - 18. Let s be m(3). Let q = s + -375. Calculate the remainder when q is divided by 40.
33
Let b = -21457 - -21523. Calculate the remainder when 2375 is divided by b.
65
Suppose 0 = 2*w - 12. Calculate the remainder when 38 is divided by (534/24 - w/(-8)) + -3.
18
Let i be 2/7 - (-12)/21*10. Suppose r - 2*o = 364, 2*o = -r + i*r - 1796. What is the remainder when r is divided by 91?
85
Let c be 2*88/(-28) + 2/7. What is the remainder when (-20)/(2/c*(-2 + 4)) is divided by 19?
11
Suppose 13*c = -j + 77, 6*j = 2*c + 10*j - 8. Let b = 304 + -129. Suppose -c*m + m = -b. Calculate the remainder when m is divided by 20.
15
Let o(z) be the second derivative of -5*z**3/6 - 105*z**2/2 + 82*z. What is the remainder when 38 is divided by o(-23)?
8
Suppose 0 = 5*x - 41*r + 45*r - 730, 3*r = 5*x - 695. Let z be (172/(-6))/((-3)/(-9)). Let q = x + z. What is the remainder when q is divided by 21?
14
Let m(b) = 5*b**2 - 147*b + 3132. What is the remainder when m(20) is divided by 730?
2
Calculate the remainder when 20/(-30)*(3 - 6)*581 is divided by 13.
5
What is the remainder when 4620*(222/30 - 7) is divided by 38?
24
Let n(d) = -4*d**3 + 204*d**2 + 2*d - 47. What is the remainder when 3683 is divided by n(51)?
53
Suppose -26*d + 49*d - 22*d = 46. What is the remainder when 336 is divided by d?
14
Let w(o) = -15*o - 8 - 11 + 0*o - 41. Let k(i) = -6*i**3 - i**2 + i + 1. Calculate the remainder when k(-2) is divided by w(-5).
13
Suppose 2*f = -a + 88, -4*f + 0*a + 164 = 5*a. Calculate the remainder when 407 is divided by f.
39
Let m(t) = -2*t**3 - 5*t**2 + 3*t + 1. Let f be 2/8 + (-3754)/8 + 1. Let c = 687 + f. Calculate the remainder when c is divided by m(-4).
34
Suppose 12*d - 4*d = 64. Suppose d*g - 160 = 32. Calculate the remainder when 190 is divided by g.
22
What is the remainder when -1 + 414 - 4*63/28 is divided by 72?
44
Let g(j) = j - 6. Let n be g(22). Let m = -3 + n. What is the remainder when 154 is divided by m?
11
Suppose 5*n - 3*p = 796, 0 = 4*n + 28*p - 25*p - 653. What is the remainder when 965 is divided by n?
160
Let a = -2480 - -2503. Calculate the remainder when 769 is divided by a.
10
Suppose -366*r = -113*r - 68816. Calculate the remainder when r is divided by 87.
11
Let h = -247 - -587. Suppose -a + 362 - h = 0. What is the remainder when 192/5 + 2/(-5) is divided by a?
16
Let q(m) = -8*m**2 + 629*m - 356. What is the remainder when 4345 is divided by q(78)?
27
Let l(d) = 49*d**3 + d**2 + 4*d - 2. Suppose 0*k + 13*k = 26. Let h be l(k). Calculate the remainder when h/8*3/9*8 is divided by 23.
19
Let b = 76 - 27. Let y = 87 - b. Suppose -38*r = -39*r + y. Calculate the remainder when r is divided by 8.
6
Suppose -5*f - 35 = -5*u, 4*u - 15*f - 63 = -18*f. Calculate the remainder when 3417 is divided by u.
9
Let l(v) = v**2 + 18*v + 4. Let g be l(-8). Let x = g + 393. Calculate the remainder when x is divided by 29.
27
Suppose 3*x = 2*o + 74, 2*x - o = -x + 76. Let w = x + -46. Let u(k) = -4*k - 47. What is the remainder when u(w) is divided by 17?
16
Let f be -6 - -82 - (7 - 1). Suppose f = 3*