p = -55, 4*h = -p + 39 + 26. Suppose 3*m + 18 = g - 7, -25 = 2*m + g. Calculate the remainder when (-76)/20 + 4 - 568/m is divided by h.
12
Suppose h + 36 = -3*h. Let c(j) = j + 28. Suppose 2*s + 2*s + 2*d = 210, 4*s + d - 215 = 0. What is the remainder when s is divided by c(h)?
17
Suppose 0 = 2*h - h + 2, -o - 5*h + 43 = 0. Calculate the remainder when 1695 is divided by o.
52
Suppose -q - x = -0 - 177, 3*q = 5*x + 563. Calculate the remainder when q is divided by 63.
55
Let n be 13 - (-5)/(-15)*3. Suppose -9*l - 21 = -n*l. What is the remainder when 20 is divided by l?
6
Calculate the remainder when 153 is divided by (-24)/(-9)*(-1035)/(-60).
15
Suppose 5*p - 302 = -4*b - 54, p - 37 = -5*b. Suppose -g + 3*g - 46 = 3*l, -2*l = -3*g + 64. What is the remainder when p is divided by g?
12
Let w(k) = 17*k + 6. Let q be w(5). Let c = q + -46. Calculate the remainder when c is divided by 23.
22
Suppose 3*x + 6 = 4*o - 10, -19 = -5*o + 4*x. What is the remainder when 17 is divided by o?
3
Suppose -15 = 4*y - 155. Let s be y + 1 - (0 + 4). Let o = -19 + s. Calculate the remainder when o is divided by 5.
3
Let o = -472 - -274. What is the remainder when o/(-3)*(-2 - 0 - -3) is divided by 17?
15
Calculate the remainder when 11 is divided by ((-9)/(-2))/(46/92).
2
Let n(m) be the first derivative of -25*m**4/4 + 2*m**3/3 + 2*m**2 + 2*m + 16. Suppose -272 = -3*i + 22. Calculate the remainder when i is divided by n(-1).
23
Suppose 0*d = -d + 10. Let b = -2 + d. What is the remainder when 21 is divided by b?
5
Let c(y) = -2 - 3 + 11 + 3*y + 8. What is the remainder when 25 is divided by c(0)?
11
Let r(s) = -s**3 + 14*s**2 + 15*s + 3. Suppose -1 = 4*g - 17. Suppose 0 = -g*t + 3*t + 15. Calculate the remainder when 4 is divided by r(t).
1
Suppose 902 = 23*f - 41. What is the remainder when f is divided by 11?
8
Suppose -528 = -8*d + 744. What is the remainder when d is divided by 28?
19
Suppose -4*t - 2*o = 22, 0 = 4*t - o + 11 + 2. Let h be (-20)/t*2/2. Suppose -45 - 5 = -h*k. Calculate the remainder when 18 is divided by k.
8
Suppose -2193 = 41*t - 58*t. What is the remainder when t is divided by 34?
27
Let c(y) = -21*y + 564. Calculate the remainder when c(18) is divided by 61.
3
Let z(x) = -x**3 - 30*x**2 + 28*x - 73. Calculate the remainder when 73 is divided by z(-31).
13
Suppose 7*h - 67 - 73 = 0. What is the remainder when h is divided by 2/(-8) + 4/(-32)*-58?
6
Let r(c) = 64*c**2 + c. Let g(m) = 64*m**2 + 2*m - 1. Let l(q) = 2*g(q) - 3*r(q). Let n be l(-2). What is the remainder when 42 is divided by n/(-24) + 2/12?
9
Let y(t) = 27*t**2 + 2*t - 1. Calculate the remainder when 131 is divided by y(-1).
11
Let q(t) = -15*t + 3*t**2 - 13 + 4 - 12 - 4*t**2. What is the remainder when 37 is divided by q(-12)?
7
Suppose -d + 10 = -4. Let z(c) = -16*c - 1. Let u be z(1). Let m = 25 + u. What is the remainder when d is divided by m?
6
Let j(p) = 8*p + 1. Let b be j(-1). Let x = 13 + b. Suppose 102 = x*t - 48. What is the remainder when 98 is divided by t?
23
Let p(h) = h**2 - 10*h + 13. Let v be p(6). Let j(c) = -c**3 - 12*c**2 - 13*c - 5. What is the remainder when j(v) is divided by 3?
2
Let w(d) = 2*d**3 - 17*d**2 - 9*d + 15. Calculate the remainder when 223 is divided by w(9).
13
Let x(c) = -9*c + 257. What is the remainder when x(5) is divided by 58?
38
Let b(k) = -20*k + 4. Let n be b(-3). Let p = 44 - n. Let s = p - -29. What is the remainder when 35 is divided by s?
8
Suppose 191*z - 185*z - 1758 = 0. What is the remainder when z is divided by 74?
71
Let p(a) = a**3 - 6*a + 6*a**2 - 3*a**2 + a**2 - 4 + 3. Let n be p(-6). Let c = 83 + n. What is the remainder when c is divided by 12?
10
Calculate the remainder when 65 is divided by 18/(-9) + (-68)/(1*-2).
1
Let o = -1258 + 1368. Calculate the remainder when 466 is divided by o.
26
Suppose -4*m - 840 = -25*m. Calculate the remainder when m is divided by 24.
16
Let z(r) = -2*r**3 + 15*r**2 + 7*r + 12. What is the remainder when 16 is divided by z(8)?
0
Let k = -9 + 17. Let t(s) = 0*s**2 + k*s**3 + 1 + 2*s + 50*s**3 + s**2 - 4*s. What is the remainder when t(1) is divided by 15?
13
Let z(t) = t**2 - 17*t + 32. Calculate the remainder when z(-8) is divided by 48.
40
Let p = -10 + 49. Let r = p + 38. Calculate the remainder when r is divided by 13.
12
Suppose -13 - 5 = 3*q. Let i(v) be the third derivative of -11*v**4/24 - 4*v**3/3 - v**2. What is the remainder when i(q) is divided by 15?
13
Let o = 38 - 26. Let i = -303 + 342. Calculate the remainder when i is divided by o.
3
Let b be 1/(4/(21 - -3)). Suppose -10 = -b*p + 80. What is the remainder when p is divided by 9?
6
Let f(r) = 2*r**2 - 9*r - 20. Calculate the remainder when 448 is divided by f(10).
88
Let y = 378 + -193. Calculate the remainder when y is divided by 58.
11
Let d = -18 + 33. Let u(r) = -3*r**3 - 2*r**2 + 8*r + 17. Calculate the remainder when u(-3) is divided by d.
11
Suppose 9*u - 7 = 2. Suppose -u = -x, 0*n = -4*n - 3*x + 211. Calculate the remainder when n is divided by 11.
8
Calculate the remainder when 11436/10 - 27/45 is divided by 13.
12
Suppose -12*s = 21*s - 1023. What is the remainder when 196 is divided by s?
10
Suppose -f - 9 = 18. Let q = 35 + f. Calculate the remainder when 55 is divided by q.
7
Suppose -104 = -4*y + 2*q, 19*q = 18*q. What is the remainder when 283 is divided by y?
23
Let u = 1267 + -1194. What is the remainder when u is divided by 15?
13
Let m = 80 + -57. Let x = m - 18. Suppose -o + x*o = -5*z + 169, -2*z + 125 = 3*o. What is the remainder when o is divided by 22?
19
Let k(u) = u**3 + 7*u**2 - u - 10. Let r be k(-7). Let l = r + 13. What is the remainder when l is divided by 1/(5/20) - -2?
4
Suppose -4*b + 750 = b. Let t be (-12)/18 - b/(-9). Suppose -r - n - 1 = -2*n, 4*n = t. What is the remainder when 7 is divided by r?
1
Suppose 0 = -r - 5*a + 86 - 5, -3*r - a + 187 = 0. Calculate the remainder when 190 is divided by r.
7
Let g = -970 + 1042. Calculate the remainder when 142 is divided by g.
70
Calculate the remainder when ((-112)/136)/7 - 5852/(-34) is divided by 46.
34
Let s(i) = -4*i**2 + 27*i - 9. Let b be s(8). Let p = b - -74. What is the remainder when p is divided by -1 + 1/(2/20)?
7
Let a = -5 - -11. Suppose 2*f = a*f - 28. What is the remainder when f is divided by ((-1 - -13) + -2)/2?
2
Suppose 0*p - 379 = -5*x - p, 302 = 4*x + 2*p. Calculate the remainder when x is divided by 13.
11
Let s = -25 + 29. Suppose s*z - 4*h - 16 = 0, 2*z + 8 = 4*z + 5*h. Suppose 4*i - 73 - 8 = 3*r, -z*r = -i + 30. Calculate the remainder when 53 is divided by i.
17
Let m = 142 - 100. Suppose 5*f = 15, 0*k = -k + 2*f + 9. Calculate the remainder when m is divided by k.
12
Let v = -403 - -549. What is the remainder when v is divided by 25?
21
Let v = -2 + 8. Suppose 25*a + v = 27*a. What is the remainder when a is divided by 3?
0
Let f = -58 + 60. What is the remainder when 4 is divided by (-17 - -18)/((-1)/(-8)*f)?
0
Let x(b) = -3*b + 5*b + 9*b - 5. Calculate the remainder when 31 is divided by x(2).
14
Let h = 43 - 12. Let l(b) = -b + 35. Let k be l(0). Let i = 26 + k. What is the remainder when i is divided by h?
30
Suppose -23*r + 24*r + n - 7 = 0, 2*r + n = 16. Suppose 2*z - 5 - 1 = 0. Calculate the remainder when 19 + z/(3/(-2)) is divided by r.
8
Suppose -2398 = 7*q - 3490. Calculate the remainder when q is divided by 42.
30
Let i be (-8)/(-12) + 1/3. Let f be 63/27 + i/(-3). Suppose 5*b + 211 = 3*h + 66, h = f*b + 49. What is the remainder when h is divided by 23?
22
Suppose 10*n - 507 + 477 = 0. What is the remainder when n is divided by 2?
1
Let l = -30 - -58. Calculate the remainder when 80 is divided by l.
24
Suppose 6*c = 7 - 31. Suppose -3*o + 2*m + 288 = o, -2*o + 4*m + 156 = 0. Calculate the remainder when o is divided by 24/7*(c + 11).
22
Suppose 30 = -2*n + 3*n. What is the remainder when ((-20)/n)/(4/(-162)) is divided by (2/3)/((-4)/(-30))?
2
Suppose 0 = -6*t + 517 + 233. Suppose 3*w + 2*w - 118 = 3*a, -3*a = -12. What is the remainder when t is divided by w?
21
Let r = -117 - -77. Let p = r + 60. What is the remainder when 96 is divided by p?
16
What is the remainder when (-3)/18*28*(-6)/4 is divided by 9/6*16/6?
3
What is the remainder when 2/(-14)*-3 - 248124/(-322) is divided by 1