0*t, a + 2*t - 51 = 0. Let z = a + -31. Calculate the remainder when 39 is divided by (16/52)/2 - (-256)/z.
9
Let r = -1 + 1. Suppose x - 8 = -r. Calculate the remainder when 0/x + (-117)/(-3) is divided by 10.
9
Let o(k) = -25*k**3 - 3*k**2 + 4*k + 29. Let i(q) = -4*q**3 - q**2 + q - 1. Let n(z) = -6*i(z) + o(z). Calculate the remainder when n(0) is divided by 19.
16
Suppose -9*g + 11*g - 2*k - 30 = 0, -4*g + 5*k + 61 = 0. Calculate the remainder when 1637 is divided by g.
13
Suppose -4*y + 1723 = 7*l - 10*l, -3*l = 3*y - 1287. What is the remainder when y is divided by 196?
38
Let i = 12000 - 11840. Calculate the remainder when 609 is divided by i.
129
Let r(m) = -17*m**3 - 2*m**2 + 2*m + 22. Calculate the remainder when r(-3) is divided by 116.
109
Let x(k) = -k**2 - 7*k - 7. Suppose -3720 = -21*l + l. Let m = -183 + l. What is the remainder when m is divided by x(-5)?
0
Suppose 8*h - 156*h + 12141 = 23*h. What is the remainder when h is divided by 16?
7
Let y(z) = -z**3 + 53*z**2 - 228*z + 3945. Suppose b = 6*b - 3*p - 874, 4*b + 5*p - 677 = 0. What is the remainder when b is divided by y(50)?
38
Let v = 45 + -5. Suppose -32*d + v*d = 256. Let s = d + -22. What is the remainder when 58 is divided by s?
8
Let y(z) = 8*z**2 - 2*z - 3. Let i = 21629 - 21434. What is the remainder when i is divided by y(-2)?
30
Suppose -9*b + 7*b + 280 = 4*v, 0 = -3*v - b + 212. Calculate the remainder when v is divided by 28.
16
Suppose 35*q + 352 - 1052 = 0. What is the remainder when 42 is divided by q?
2
Suppose -4*c + i = 7, -4*c - 7*i = -12*i + 19. Calculate the remainder when ((-128)/(-10))/(c/25*-5) is divided by 13.
12
Let z(c) = -c**2 + 15*c + 34. Let b be z(17). Let h(w) = 3*w**2 - 1. What is the remainder when b/(-1) + 1/((-5)/(-15)) is divided by h(-1)?
1
What is the remainder when 1878 is divided by (-13)/8*-58 + (-8 - 155/(-20))?
92
Suppose -3*l + j = -47, 4*l + 4*j + 8 - 44 = 0. Suppose d = -l + 18. What is the remainder when 7 is divided by d?
3
Let m(v) = 11*v - 26. Let x be m(16). Suppose 0 = 21*u - 27*u + x. Calculate the remainder when 95 is divided by u.
20
Let f = 53 - 46. Suppose -f*y + 900 = 2*y. Suppose -4*v + y = -2*v. Calculate the remainder when v is divided by 27.
23
Suppose -3*p = -q - 6, -p + q - 14 = 6*q. Let y be ((-10)/15)/((6/(-423))/p). Suppose 3*t + y - 95 = 0. What is the remainder when 45 is divided by t?
13
Let n(z) = 2*z**2 + 89*z - 1569. What is the remainder when 312 is divided by n(-59)?
28
Let g = -209 + 361. Let u = -17 - -28. What is the remainder when g is divided by u?
9
Let j(y) = -y**3 - 68*y**2 + 582*y - 125. What is the remainder when j(-76) is divided by 142?
5
Suppose 4*w + 536 = 1304. Let f = 73 + -3. Calculate the remainder when w is divided by f.
52
Let a = -16 + 27. Suppose -26*q - 156 = -0*q. Let n = a + q. What is the remainder when 6 is divided by n?
1
Let l = 157 - 167. What is the remainder when 137 is divided by (-4 + 8)*l/(-4)?
7
Let p(s) = s**3 + 14*s**2 + 15*s - 133. What is the remainder when p(-11) is divided by 9?
2
Let f = 376 + -373. Suppose f*g + y - 21 = 2*g, -4*g = 5*y - 88. Let l = 28 - -20. Calculate the remainder when l is divided by g.
14
Let y(i) be the first derivative of 2*i**4 - 4*i**3/3 - 3*i**2 + 12*i - 139. What is the remainder when y(4) is divided by 40?
36
Let q = 449 - 445. Suppose -a = -3*w + 8, q*a - 8 = 2*a. What is the remainder when 129 is divided by w?
1
Let t(y) be the second derivative of 7*y**3/3 - 21*y**2/2 - 12*y + 1. What is the remainder when t(8) is divided by 24?
19
Suppose -107051*a + 107068*a = 17357. What is the remainder when a is divided by 3?
1
Suppose 71*n - 1042 - 1301 = 0. What is the remainder when 282 is divided by n?
18
Let t(l) = -l**3 + 13*l**2 - 7*l - 10. Suppose 6*z - 7*z = -4. Let j(u) = -u + 16. Let y be j(z). What is the remainder when t(y) is divided by 26?
24
Let a(h) = -2788*h + 941. Calculate the remainder when a(-8) is divided by 41.
39
Let d = 13521 + 9774. Calculate the remainder when d is divided by 32.
31
Let i(y) = 17*y**2 - 11*y + 21. Let n be i(2). Let z = 260 + n. Calculate the remainder when z is divided by 30.
27
Suppose -19*c - 10*c + 435 = 0. Suppose -4*p + 25 = -c. Calculate the remainder when 139 is divided by p.
9
What is the remainder when 8/16 - (-41)/2 - (-1 - 2) is divided by 3 - 0 - -2*1?
4
Let j = -38 + 86. What is the remainder when (-2 - -5) + 6 + 85 is divided by j?
46
Let c = -16267 - -16318. What is the remainder when 2649 is divided by c?
48
Let h(o) = -o**2 - 15*o + 64. What is the remainder when 163 is divided by h(-18)?
3
Suppose 5*p = -4*r + 1977, 8*r = -p + 9*r + 408. Calculate the remainder when p is divided by 14.
9
Let v(c) = -3*c**2 + 6*c - 6. Let n be v(1). Suppose -7 = -y + 1. Calculate the remainder when n + (-1)/((-1)/33) is divided by y.
6
Suppose -2*g = 4*b - 12, 0 = -4*g + 3*b - 2 - 7. Suppose 6*y - 42 = -g*y. What is the remainder when ((-22)/(-6))/(2/6) is divided by y?
4
Suppose 5*o + 2284*z - 83 = 2288*z, 55 = 3*o - 5*z. What is the remainder when 2050 is divided by o?
10
Let j be (5/3)/((-3)/18). Calculate the remainder when 4/j - (-82)/5 is divided by ((-2)/4*-6)/(17 - (-627)/(-38)).
4
Let a = -572 - -1344. Let u = a - 707. What is the remainder when 112 is divided by u?
47
Let s be 4/(-10) + 15504/85. Let z = s - -1. Calculate the remainder when z is divided by 27.
21
Suppose 0 = -5*p + 543 + 297. Suppose -8*b + p = -5*b. Suppose 2*o - b = 5*g, 2*o - 3*g + g - 44 = 0. What is the remainder when 106 is divided by o?
16
Let l = -4572 + 5312. Calculate the remainder when l is divided by 364.
12
Suppose -82*i + 75*i = -70. What is the remainder when 64 is divided by i/(-15)*1/2*-36?
4
Let c = -74 + 80. Let n = -131 + 211. Suppose n = 11*b - 261. Calculate the remainder when b is divided by c.
1
Let b be 7*4/84*24. Suppose 0 = -u - 3*f + 33, b*u - 6*u = f + 94. What is the remainder when u is divided by 24?
21
Let j = -44 - -46. Suppose -5*t + j*t = -78. Suppose 2086 - 36 = 10*c. Calculate the remainder when c is divided by t.
23
Let s = -1945 - -6802. Calculate the remainder when s is divided by 7.
6
Suppose 4*g - 22 = -3*x + 39, 5*g = -x + 79. Suppose 3*t = -2*n + 430, g*n - 215 = 15*n + 4*t. Calculate the remainder when n is divided by 20.
15
Let a(l) = -l**3 - 39*l**2 - 170*l + 188. What is the remainder when 291 is divided by a(-34)?
103
Suppose -4*m - 20 = 0, 53 = -21*g + 22*g - 2*m. Calculate the remainder when g is divided by 24.
19
Let w = 16548 - 14456. What is the remainder when w is divided by 1042?
8
Let s = -666 - -690. Calculate the remainder when 477 is divided by s.
21
Suppose -q + 5*b - 21 = 0, -3*q - 8*b - 99 = -11*b. Let u = q - -118. Calculate the remainder when u is divided by 20.
2
Suppose -157 = -a + 3*h, -282 = -3*a + a - 2*h. Let k(s) = 22*s**3 + 91*s**2 - s - 13. Calculate the remainder when a is divided by k(-4).
28
Suppose 0 = 2*b + 2, 0 = 9*u - 8*u + b + 1. Suppose u = 3*z - 9*z + 306. Suppose -14 = 4*r + 6, 0 = 2*p + r - z. Calculate the remainder when p is divided by 4.
0
Suppose -3*x = 2*x - 2*v + 341, 3*v + 326 = -5*x. Let q = x + 70. Suppose 78 = 3*w + q*w. What is the remainder when 51 is divided by w?
12
Let b be -3 + 0 - (-36 - -524). Let f = -483 - b. Suppose -4*r = -a - 12 - 40, -2*a = -8. What is the remainder when r is divided by f?
6
Let y(q) = -q**3 + 7*q**2 + 8*q - 4. Let z be y(6). Suppose 5607 = 73*u - 10*u. Let l = u - z. Calculate the remainder when 33 is divided by l.
6
Let j be 3 + 30/36 + 2/12. Suppose -j*k - 411 = 5*o - 1161, -3*o = 5*k - 450. Let u = -93 + o. What is the remainder when u is divided by 30?
27
Let w(f) = -f**3 - 14*f**2 - 3*f - 10. Let r be w(-14). Suppose 0 = 4*v - 108 + r. Let d = 54 + -1. What is the remainder when d is divided by v?
15
Suppose -24*h + 38*h = 0. Suppose 15*z - 13*z - 14 = h. Let x = -14 + 48. What is the remainder when x is divided by z?
6
Let j = 720 + -597. What is the remainder when 1466 is divided by j?
113
Let z(n) = n**3 - n**2 - n + 8. Let s be z(0). Suppose u = 2, -s*d = -4*d - u - 26. What is the remainder when ((-15)/20)/((-99)/1980) is divided by d?
1
Suppose k - d - 4*d = 30, 0 = 3*d + 15. Suppose -5*t - 1105 = -k*q, -t - 5 + 1 = 0. Calculate the remainder when q is divided by 22.
19