. Suppose -18 - 2 = -5*o. What is the remainder when (-3*10/9)/(306/(-3213)) is divided by y(o)?
8
Let y(d) = 3*d**2 + 3*d + 3. Let s = -3500 + 3571. What is the remainder when s is divided by y(-2)?
8
Suppose -3*g - 2*g + 4*x + 5 = 0, -25 = -5*x. Suppose -5*i + i = 3*n - 654, g*n + 2*i = 1104. Calculate the remainder when n is divided by 32.
30
Let b(t) = 3 - 138*t - 239*t - 48*t. Calculate the remainder when b(-1) is divided by 13.
12
Let g(h) = -8*h**3 - 3*h**2 + 6. Let j(a) = 2*a**3 - a**2 - a - 2. Let p be j(0). What is the remainder when g(p) is divided by 12?
10
Let y(q) = q**3 + 58*q**2 + 45*q - 59. What is the remainder when y(-57) is divided by 14?
9
Suppose 9*k - 14*k = -5*v + 570, 4*v + 4*k = 480. Calculate the remainder when 813 is divided by v.
111
Suppose 8*n - 3573 + 1005 = 0. Suppose 13*k - 1764 = -n. Calculate the remainder when k is divided by 16.
15
Suppose -r + 55 = 15. What is the remainder when 2534/21 + -45 - (4/6 - 1) is divided by r?
36
Suppose 1438*h = 1450*h - 12. What is the remainder when 283 is divided by h?
0
Suppose -2 = 2*y + 10. Let a(i) = i + 14. Suppose -5*c = 5*f - 130, -c + 0*c + 20 = -f. What is the remainder when c is divided by a(y)?
7
Let i = 17 + -16. Suppose 3*u - 3*z = 66, -5*u - 4*z + i + 82 = 0. Let v = u - 5. Calculate the remainder when v is divided by 4.
2
Suppose 5*x - 50 = 5*l, -4*x + 4*l = -3*x + 2. Let b(v) = -3*v + 65. Calculate the remainder when b(x) is divided by 4.
3
Let r(y) = -y**3 - 6*y**2 + 74*y + 44. Calculate the remainder when 459 is divided by r(-12).
19
Let v be (-4 + 3)*((-15)/1 - -5). Suppose v*f - 298 = 232. Calculate the remainder when 102 is divided by f.
49
Suppose -5*f = -4*y + 57, -3*y - 357*f + 40 = -358*f. Let i = -326 + 481. What is the remainder when i is divided by y?
12
Let x = 361 - 349. Suppose -2*u - 510 = -x*u. Calculate the remainder when u is divided by 20.
11
Let c(h) = -143*h - 882. What is the remainder when c(-7) is divided by 107?
12
Let k be ((-6)/5)/(4/(-10)). Suppose 2*v - k*r = -7, 5*r - 5 - 12 = 2*v. What is the remainder when 30 is divided by v?
2
Suppose -31*t - 74088 + 77715 = 0. Let j(r) = r**2 - 6*r + 4. Calculate the remainder when t is divided by j(8).
17
Let c(m) = m**2 + 82. Calculate the remainder when c(0) is divided by ((-7)/(-3))/((-913)/(-2739)).
5
Suppose -316*a + 43*a + 79399 = -9326. Calculate the remainder when a is divided by 14.
3
Let r(u) be the second derivative of -u**5/20 + 2*u**4/3 + u**3/2 + 17*u**2 - 10*u. Calculate the remainder when r(7) is divided by 22.
16
Suppose 74*g - 376 = 152 + 804. What is the remainder when 26115 is divided by g?
15
Let i be 2886/(-703) + 2/19. What is the remainder when (-5 - (-4 - 123 - 4)) + i is divided by 41?
40
Suppose 25 = 631*m - 626*m. Suppose x = 6*v - 2*v - 11, m*x = 4*v - 7. Calculate the remainder when 33 is divided by v.
0
Let c(o) = -13*o - 13. Let v be c(-8). Let h = 131 - v. What is the remainder when 115 is divided by h?
35
Let b = -11296 - -11936. Calculate the remainder when b is divided by 169.
133
Suppose 5*u + 30*r - 26*r = 688, -5*r + 690 = 5*u. Calculate the remainder when 519 is divided by u.
111
Suppose -109*x - 1471 - 6717 = -465*x. Suppose -3*s + 396 = -3*h, -4 = -4*s - 0*s. What is the remainder when (-2)/3 + h/(-3) is divided by x?
20
Suppose 16*n = -12*n + 5768. Suppose -1036 = -10*x - n. Calculate the remainder when 330 is divided by x.
81
Let r = 38 + -33. Suppose 0 = -27*i + 24*i - 3*s + 18, -r*s - 60 = -4*i. What is the remainder when i is divided by 6?
4
Let l(m) = 44*m - 668. Calculate the remainder when l(17) is divided by 31.
18
Suppose -1424 = -15*t + 17*t. What is the remainder when 44 is divided by t/(-32) + 3/4?
21
Suppose 2*d + 578 = 5*z - 2769, 3*z = -4*d + 2003. Calculate the remainder when 1350 is divided by z.
12
Suppose 599 + 362 - 269 = 4*c. What is the remainder when 742 is divided by c?
50
Let j = 0 - -10. Suppose -j*v + 9*v - 4*i + 36 = 0, i + 61 = v. Calculate the remainder when v is divided by 32.
24
Let p be 3*(-3)/18 - (-393)/2. Suppose 3 = 3*z - 3, -2*z + p = 3*y. What is the remainder when y is divided by 14?
8
Calculate the remainder when 2*(-5)/(-15)*(-13704)/(-16) is divided by 1.
0
Suppose 0 = -16*q + 21*q - 95. Let h = 358 + -310. Calculate the remainder when h is divided by q.
10
Let z = 209 - 130. Suppose -95 = -k - 11*y + 14*y, 3*y = -k + 95. Let d = k - z. What is the remainder when 40 is divided by d?
8
Suppose -538 = 41*d - 2752. Calculate the remainder when 589 is divided by d.
49
Suppose -192*t = -196*t - 4*x + 89004, 5*t - 111213 = 2*x. What is the remainder when t is divided by 19?
15
Suppose -3*x - 29 = 2*i, 41 - 11 = -2*i - 4*x. Let p = -8 - i. Let u(w) = -w**3 - 9*w**2 - 11*w. Calculate the remainder when u(-8) is divided by p.
4
Suppose -z + 227 - 231 = 0, -h + 5*z + 266 = 0. Calculate the remainder when h is divided by 59.
10
Suppose -199*b - 189915 + 572393 = 0. Calculate the remainder when b is divided by 1913.
9
Let u be ((-2996)/56)/((-3)/6). Let x(n) = 33*n - 2. Let t be x(-2). Let b = u + t. Calculate the remainder when 115 is divided by b.
37
Let l = 29403 + -29401. What is the remainder when (-3)/((-1)/3*1) is divided by l?
1
Suppose -3*s - 352 = -14*s. Let v(a) = a**3 + 11*a**2 + 4*a + 3. Let q be (-11)/((-22)/(-20)) - -4. What is the remainder when v(q) is divided by s?
31
Let d be (-7)/((-91)/(-156))*(-6)/(-4). Let h(w) = -3*w + 8. Suppose -f = -3*f + 34. Calculate the remainder when h(d) is divided by f.
11
Let v(n) = n**2 + 0*n**2 + 0*n**2 + 21. Suppose 0 = 14*r - 7*r + 5*c - 69, -r + c + 15 = 0. Calculate the remainder when v(0) is divided by r.
9
Suppose -1332*h + 1336*h + 3*m - 101 = 0, -3*h = 2*m - 76. Calculate the remainder when 123 is divided by h.
19
Let f(n) = n + 22. Let m = -99 + 151. Let a be m/6 + 1/((-12)/8). What is the remainder when 55 is divided by f(a)?
25
Suppose -3*g - 1290 = -3*r, -4*g - 561 + 149 = -r. Calculate the remainder when r is divided by 48.
4
What is the remainder when 1387 is divided by 6*(25 - 29 - 162/(-4))?
73
Suppose -5*p - 54 + 339 = 0. Let r(c) = -2*c + 1. Let j be r(1). Let h(x) = -14*x**3 + x**2 - 3*x - 3. What is the remainder when p is divided by h(j)?
12
Let j(h) = 14*h - 139. Calculate the remainder when j(38) is divided by 80.
73
Suppose -3*i + 41*i - 22287 = 15*i. What is the remainder when i is divided by 968?
1
Let l(q) = q**3 - 11*q**2 + 9*q - 9. Let v be l(10). Let m = 176 + -246. Let a = v - m. What is the remainder when a is divided by 26?
25
Calculate the remainder when ((-2780)/15)/((-16)/60) is divided by 32.
23
Let a(k) = 2*k**2 + 2*k + 4. Let r = -147 - -111. Let n = -20 - r. What is the remainder when a(4) is divided by n?
12
Let d = -8459 + 8480. Calculate the remainder when 1761 is divided by d.
18
Let r = -16668 + 26951. Calculate the remainder when r is divided by 278.
275
Let u(v) be the second derivative of v**5/20 + v**4/6 - 5*v**3/6 - 5*v**2/2 + 24*v - 6. Suppose 9 = x + 2*x. Calculate the remainder when 44 is divided by u(x).
19
Let j = 433 - 1338. Let v = j - -926. Calculate the remainder when 142 is divided by v.
16
Let w be (-140)/(-21) - (8/6)/2. What is the remainder when 113 is divided by (w + 315/(-20))*-4?
35
Let q(p) be the third derivative of p**4/8 + 32*p**3/3 + 52*p**2 + 2*p. Calculate the remainder when 36 is divided by q(-18).
6
Let p(f) = 87*f - 5893. Calculate the remainder when 624 is divided by p(69).
74
Let h = -324 - -249. Let w = h - -84. What is the remainder when (-572)/(-16) - 6/8 is divided by w?
8
Suppose 2*f - 5302 = -3*c + 2117, -c + 3*f + 2506 = 0. What is the remainder when c is divided by 124?
123
Suppose 0*z - 2*z = -2*o - 42, 3*o = -6. Suppose 23*p = 10354 - 3086. Let k = p + -225. What is the remainder when k is divided by z?
15
Suppose 2*a + 2*d + 244 = -0*d, d = a + 126. Let m = a + 147. What is the remainder when 91 is divided by m?
22
Suppose 14*b - 124 = 2. Let g(v) = 3*v**2 - 25*v + 13. What is the remainder when 114 is divided by g(b)?
21
Suppose 0 = 37098*x - 37134*x + 288. Calculate the remainder when 143 is divided by x.
7
Let h = 2246 + -2047. Suppose 3*f - 28 + 1 = 0. Suppose 712 = f*x + h. Calculate the remainder when x is divided by 10.
7
Let q(b) = 0 + 37 - 3*b + 2. Suppose -133 =