 is divided by -2 - -8 - (-1 - (10 - -16))?
14
Let a(g) = g + 826. Calculate the remainder when a(-10) is divided by 13.
10
Let h(y) = -9*y + 116. Let l be h(14). Let p = l + 25. What is the remainder when 24 is divided by p?
9
Suppose 132*z - 47936 - 45708 = -32*z. What is the remainder when z is divided by 550?
21
Let j = 145 + -53. Suppose -345*f - 295 = -350*f - 3*i, -3*f + 4*i + 148 = 0. What is the remainder when j is divided by f?
36
Let l = -19098 + 19184. What is the remainder when 20294 is divided by l?
84
Suppose 4*b + 24 - 152 = 0. Let c(i) = 2*i**3 + 80*i**2 - 83*i - 17. Let j be c(-41). Let v = b - j. Calculate the remainder when 30 is divided by v.
6
Let u be (195/6)/(6/4 - 1). Suppose -2*b = -5*r - 14, b + 3*r + 14 = 3*b. Calculate the remainder when (9 - (-1 - -6)) + u is divided by b.
6
Let b = 482358 + -482320. What is the remainder when b is divided by 13/2 + (-1)/2?
2
Suppose -2*b + 13820 = h, 8*b - 9*b + 6896 = 4*h. What is the remainder when b/135 - (-4)/5 is divided by 18?
16
Let c = -83 + 284. Suppose 3*q - 70 = -5*o, -7*q + 5 = -8*q. Calculate the remainder when c is divided by o.
14
Suppose 2*r - 18 = 3*g, -3*g + 7*g + 14 = 2*r. Calculate the remainder when r is divided by ((-65)/30)/(26/(-12) + 2).
2
Suppose 0 = -194*c - 16751 + 42359. What is the remainder when c is divided by 36 - (-1 - (2 - 5))?
30
Let s(v) = -5*v - 46. Let j be s(-20). Let m = j - 42. Suppose -2*t = m - 34. Calculate the remainder when 48 is divided by t.
4
Let d(b) = 2*b**3 + 32*b**2 - 50*b + 39. What is the remainder when d(12) is divided by 18?
15
Let p(o) = -8*o + 790. What is the remainder when p(-47) is divided by 15?
11
Let v be 1*(-37 + 2*(-5)/5). Let m = v + 82. Calculate the remainder when 83 is divided by m.
40
Calculate the remainder when 3357 is divided by (-9 - -11)*117/18.
3
Let x be 9/8 - (-1)/(-8). Let i(w) = 101*w**2 - w. Let v be i(x). Suppose v = 12*r - 7*r. Calculate the remainder when r is divided by 5.
0
Let b(d) = -d**3 - 4*d**2 + 4*d + 2. Let g = 340161 + -340076. What is the remainder when g is divided by b(-5)?
1
Suppose -6*p = g - 120, 150 = -3*g - 5*p + 601. Calculate the remainder when 672 is divided by g.
24
Suppose -13*a + 34*a - 119 - 196 = 0. Calculate the remainder when ((-65)/3)/((-2)/30) is divided by a.
10
Let q(l) = -l**3 + 21*l**2 - 27*l + 144. Let b be q(20). Suppose -39 = -b*c + 25. What is the remainder when 141 is divided by c?
13
Calculate the remainder when 1 + (-132)/(-33) - (2 + -5992) is divided by 125.
120
Let s(f) be the third derivative of f**5/15 - f**4/4 - f**3/6 + 36*f**2 - 2. Let z = 11 - 2. What is the remainder when s(3) is divided by z?
8
Suppose -2*t - 16 = 4*a, -t + 2*t = 4*a + 10. Suppose -l = -41 - 42. Calculate the remainder when l is divided by (5 + 64/(-3) - t)*-3.
40
Let n(h) = -3*h**2 - 328*h + 8522. Suppose 15 = 3*v + 3. Suppose 8 - 40 = -v*k. Calculate the remainder when k is divided by n(-131).
1
Suppose -4*v + 21 = -27. Suppose -1304*w + 1301*w + 3*r = -360, 135 = w - 4*r. What is the remainder when w is divided by v?
7
Let x = 176 - 87. Let w(k) = 30*k + 105. Suppose 537 - 516 = -7*s. Calculate the remainder when x is divided by w(s).
14
Let i(z) = -z**3 - 2*z**2 + 4*z - 8. Let m be i(-6). Suppose q = -3*q + m. Suppose 429 = 18*t - 8*t + 349. Calculate the remainder when q is divided by t.
4
Suppose -1694 = -6*i - 1658. Suppose -6*u - i*u = -2172. Calculate the remainder when u is divided by 47.
40
Let j(z) = z. Let y(q) be the first derivative of -q**3/3 + 9*q**2/2 + 7*q + 7. Let c(n) = 6*j(n) + y(n). What is the remainder when 32 is divided by c(15)?
4
Let u(i) = 52*i**2 - 20*i + 22. Calculate the remainder when 1100 is divided by u(2).
150
Let t be 12/(-20) - 465/(-25). Suppose t*j = 14*j + 308. Calculate the remainder when j is divided by 21.
14
Suppose 175*m + 28*m - 27221 - 2503 = 16763. Calculate the remainder when m is divided by 15/2 + (-1)/2.
5
Let r(u) = -8*u - 49. Let x be r(-22). Let p = x - 36. Suppose -5*j = 3*t - 52 - p, 5*j = 20. Calculate the remainder when t is divided by 14.
13
Suppose 0 = -n + p + 2, n + 5*p + 15 - 5 = 0. Suppose n = 9*k + 24*k - 594. Calculate the remainder when 35 is divided by k.
17
Let k(t) = t. Let h(w) = w**2 + 4*w - 69. Let q(r) = h(r) + 2*k(r). Calculate the remainder when q(-15) is divided by 4.
2
What is the remainder when 234 is divided by 191 - 0 - (-118 - -137)?
62
Let u(r) = -628*r + 5184. What is the remainder when 638 is divided by u(8)?
158
Let r(b) = b**3 - b**2 - 8*b + 141. Let h = -215 + 215. What is the remainder when r(h) is divided by 11?
9
Let c = -13 + 27. Let v = c - -15. Suppose 2879 - 181 = 19*j. What is the remainder when j is divided by v?
26
Let m(z) = -7*z**3 - 66*z**2 + 5*z + 14. Calculate the remainder when 732 is divided by m(-10).
4
Suppose -220 = -z - 2*d, -z = -4*z - 2*d + 660. What is the remainder when 230 is divided by z?
10
Let o = -4176 + 4301. What is the remainder when 1083 is divided by o?
83
Let d be 1/8 + (-6 - -9)/(-24). Suppose m + 172 + 79 = 3*q, -q - 2*m + 79 = d. What is the remainder when q is divided by 37?
9
Suppose 5*s = 5*x + 35, 2*s = -4*x + 7*s - 28. Let a(z) = 7*z + 52. Let r be a(x). Let g = r - -1. Calculate the remainder when 14 is divided by g.
2
Let a(o) = -2*o**3 + 23*o**2 - 25*o + 14. Let u(z) = 25*z**3 - 4*z**2 - z + 2. What is the remainder when u(3) is divided by a(10)?
62
Let r(n) = -n**3 - 6*n**2 + 51*n + 141. Calculate the remainder when r(0) is divided by ((-29)/(-3))/((-1)/(-3)).
25
Suppose -5*v + 2*u + 6947 = 20, 0 = -3*u + 12. Calculate the remainder when v is divided by 87.
82
Let y be (-2)/((16/(-48))/((-4)/(-6))). What is the remainder when 25 is divided by 2 + 2 + -5 + y?
1
Suppose 29*j + 2589 = 3198. Calculate the remainder when j is divided by 4*-8*(-4)/8.
5
Suppose -424*d = -425*d. Let r(o) = 12*o - 1. What is the remainder when d - -86 - (47 + -46) is divided by r(1)?
8
What is the remainder when 844 is divided by -5 + (-214)/(-30) + (-64)/480?
0
Let c = 32679 - 28408. Calculate the remainder when c is divided by 12.
11
Let z be (-33)/(-3) + (1 - (2 - -1)). Suppose 3*x - 49 - 9 = -5*d, 2*x - 41 = -d. What is the remainder when (z - -6)/(9/21) is divided by x?
14
Suppose -920 = -15620*t + 15616*t. Calculate the remainder when 20928 is divided by t.
228
Let n = 24 - 48. Let c = n - -31. Suppose 0 = 3*i - 9, -y - 2 = -4*i + 7. What is the remainder when c is divided by y?
1
Suppose -3*d - 126 = -5*d - v, -d = 3*v - 68. Calculate the remainder when 99 is divided by d.
37
Let c(n) = n**3 - n**2 - 6*n + 7. Let d be c(3). Suppose 5*z = d*z - 206. Let b = -28 + 49. What is the remainder when z is divided by b?
19
Suppose 10*n + 4*f = 6*n, -4*f = 3*n + 2. Suppose -5*r = 2*o - 58, 0 = -3*r - 6*o + o + 31. What is the remainder when r is divided by n?
0
Suppose 1263*o = 1256*o + 24304. What is the remainder when o is divided by 1156?
4
Suppose 7*m + 391 - 496 = 0. Calculate the remainder when 0/(-2) - 1*-87 is divided by m.
12
Let r(u) = -6*u + 5*u - u + 3*u + 4*u - 121. Calculate the remainder when 357 is divided by r(29).
21
Suppose s - 11*v + 7*v = 1711, 5*s - 8505 = -5*v. What is the remainder when s is divided by 11?
9
Let s(l) = 5*l**2 + 3*l + 2. Suppose -18 = -2*t, 8*d + 138 = 12*d + 2*t. Calculate the remainder when d is divided by s(-2).
14
Let x(q) = -100*q - 3. Let d be x(-2). Let f(r) = -57*r - 311. Let w be f(-7). Suppose -w*p = -89*p + d. What is the remainder when p is divided by 25?
22
Suppose 25*j - 3549 = -66*j. Suppose 2*k - 3*v - 22 = v, -4*k = v - 8. Suppose 27 = -k*y + 4*y + h, h + j = 2*y. What is the remainder when y is divided by 5?
2
Let n(g) = 21*g**3 + g**2 - 16*g - 52. Let h be n(-3). Let m = h + 589. What is the remainder when 53 is divided by m?
26
Let u(r) = 8*r - 196. Let z be u(24). Let j(p) = 19*p**2 - 6*p - 9. What is the remainder when j(z) is divided by 14?
11
Suppose -1500 = -5*l - 4*n + n, 616 = 2*l - 2*n. Suppose -265*o = h - 268*o - 12, o - 28 = -5*h. What is the remainder when l is divided by h?
3
Let f(a) = 6*a - 10. Let n(v) = -18 - 58*v + 68*v - 27. What is the remainder when f(4) is divided by n(5)?
4
Suppose -87 = q + t - 131, -5*q + 214 = 3*t. Let r be 3/3 - (-4)/1. Suppose 5*a + 2*k - 89 = 27, 4*a = -r*k + 10