the remainder when w(-16) is divided by 33.
17
Suppose 2*n + 3*n + 5*h + 310 = 0, 4*n + 243 = h. Let j = 157 + n. Let o = 177 - j. What is the remainder when o is divided by 21?
18
Suppose -4*o - 5*y + 357 = 0, -3*o + 5*y = -168 - 161. Calculate the remainder when 544 is divided by o.
54
Let g = -22179 + 22461. What is the remainder when g is divided by ((-1)/2)/((-2)/284)?
69
Let i(t) = -22*t - 69. Let g be i(-11). Let c = g + -168. What is the remainder when 48 is divided by c?
3
Let t = 32879 - 32821. What is the remainder when 7597 is divided by t?
57
Let t(b) = b**2 - 34*b + 308. What is the remainder when 77 is divided by t(24)?
9
Let p = -17309 + 17614. What is the remainder when p is divided by 87?
44
Let g(m) = 6*m - 197. Let r be g(-3). Let d = 232 + r. Calculate the remainder when 58 is divided by d.
7
Let i(k) = -k**2 + 51*k - 15. Let m be i(23). Let f = -536 + m. Calculate the remainder when f is divided by (-22)/(-1) + 1*2.
21
Suppose -373*c + 96 = b - 368*c, -3*c + 276 = 3*b. Let h(n) = 6*n**2 - n - 4. What is the remainder when b is divided by h(3)?
44
Suppose 26280 = -14*y + 22*y + 32*y. What is the remainder when y is divided by 165?
162
Let d(l) be the third derivative of -19*l**2 + 8/3*l**3 + 0*l + 7/30*l**5 + 0 - 5/12*l**4 - 1/120*l**6. Calculate the remainder when d(13) is divided by 15.
10
Let k = 9976 - 9794. Calculate the remainder when 313 is divided by k.
131
What is the remainder when (409 - 2) + (237 - 244) is divided by 26?
10
Let a be (0 + 0 - 5)*-1. Suppose y - 8 = 2*o + 18, -97 = -a*y - o. What is the remainder when (-1 - 1)/((-4)/118) is divided by y?
19
Suppose -3*t = -4*t - 29. Let h = -14 - t. Let s = 19 + 38. Calculate the remainder when s is divided by h.
12
Let x(j) = 76*j - 793. What is the remainder when x(37) is divided by 202?
201
Suppose 0 = 565*b - 545*b - 820. Calculate the remainder when 310 is divided by b.
23
Calculate the remainder when 2/(-6) + (-196021)/(-39) + 208/1352 is divided by 11.
10
Let z(m) = -m**2 + m + 56. Let y be z(-7). Suppose -9*b = -54 - y. Suppose -b*t - 11*t + 306 = 0. Calculate the remainder when t is divided by 8.
2
Let v(p) = 63*p**2. Let g be 1*-3 - (31 + 5)/(-6). Let h be 12/g - (-1 - -4). What is the remainder when v(h) is divided by 32?
31
Suppose 60 = -3*h + 237. Suppose 0*r + 4*r + 3*q = 73, 0 = -r + q + 27. Suppose -r + 26 = -4*n, a + 2*n = 18. What is the remainder when h is divided by a?
19
Let b(n) = 16*n**3 + 1. Let x be b(-1). Suppose -2*v - 95*m - 6 = -96*m, 4*m = -8. Let t = v - x. What is the remainder when 37 is divided by t?
4
Suppose 11*z - 12*z + 4*q - 2 = 0, 0 = 4*z - 3*q - 31. Calculate the remainder when 12 is divided by 4/z + 768/80.
2
Let d = 50 - 17. Let u(r) = r**3 + 14*r**2 - 19*r - 12. Let h be u(-15). Calculate the remainder when d is divided by 1/(20/h)*5.
9
Let u(o) = -o**2 + 15*o + 83. Let c be u(18). Let w = 43 - c. Calculate the remainder when 64 is divided by w.
8
Let y(f) = f**3 + 38*f**2 - 42*f - 91. Calculate the remainder when 5146 is divided by y(-39).
24
Suppose -4*b = 5*c - 1817, 8 = 4*c - 12. Let k(q) = -3*q + 7. Calculate the remainder when b/24*(-27)/(-6) is divided by k(-5).
18
Suppose -4*t + 2*t - 988 = 0. Let s = 828 + t. Calculate the remainder when s is divided by 24.
22
Suppose -b - 4 = -2*b + 3*v, -b - v + 4 = 0. Suppose s = 4*s + b*j - 296, 3*j + 3 = 0. Calculate the remainder when s is divided by 22.
12
Let r be (84/(-9))/14*9. Let h(s) = 6*s + 70. What is the remainder when 509 is divided by h(r)?
33
Suppose 92 = -20*w - 3*w. What is the remainder when 137 is divided by w/(28/(-175)) - 4?
11
Let h = 106877 - 106864. Calculate the remainder when 39 + -2 + -2 + 2 is divided by h.
11
Let z(o) = o**3 + 7*o**2 - o - 39. Let i be z(-6). What is the remainder when (0 + (-53)/(-3))*i is divided by 7?
4
Let p(x) = -x**2 + 8*x - 1. Let i be p(5). Suppose -5*u + 2*q = i, u + 5*q + 4 = 12. What is the remainder when 33 - (1 + -4) - u is divided by 13?
12
What is the remainder when 1324 - 3 - 0/(22/2) is divided by 22?
1
Let l(j) be the second derivative of j**3/2 + 45*j**2 - 59*j. What is the remainder when l(-17) is divided by 8?
7
Let u(f) = -2*f**2 - 19*f + 18. Let w be u(-10). Suppose k - 3*i + i = w, -i = 5*k - 51. What is the remainder when 159 is divided by k?
9
Let x(k) = k**3 + 14*k**2 + 27*k + 66. Let y be x(-13). Let d = 4 + -2. Calculate the remainder when 24 is divided by d/(-3 + y/(-36)).
6
Suppose -314 = -11*y + 203. Suppose -79 - 41 = -5*k. Suppose 7*b - 5*b - k = 0. Calculate the remainder when y is divided by b.
11
Suppose -2*z - k = -z - 1, 2*z - 22 = 3*k. Let r = 7 - 4. Suppose 0 = 4*w + 20, 0 = -r*t - z*w - 19 + 66. Calculate the remainder when t is divided by 15.
9
Let c = -9 - -8. Let w be -1 + 0 - (5 + 5)*c. Let h = w - -11. Calculate the remainder when h is divided by 8.
4
Let t be 34*((-4)/(40/165))/3. Let g = t + 286. Calculate the remainder when g is divided by 20.
19
Suppose 0 = -162*i + 31366 - 3016. Calculate the remainder when 332 is divided by i.
157
Let n(w) = 3*w**2 - 58*w + 458. Calculate the remainder when 204 is divided by n(12).
10
Let n(v) = v**2 + 15*v + 5. Let t be n(-15). Suppose -t*f = -8*f + 39. What is the remainder when 64 is divided by f?
12
Suppose 0*y = 3*y + 3*q - 72, -3*y + 48 = -3*q. Let t = -270 - -272. What is the remainder when 3 is divided by y/5 - (t + -1)?
0
Let l be -12*(-3)/(-18)*2. Let i(c) = -c**3 + c**2 - 3*c - 6. Let u be i(l). Suppose 4*r - u - 98 = 0. Calculate the remainder when r is divided by 24.
22
Let v(b) = -9*b**3 - 4*b**2 - 3*b. Let p(n) = 10*n - 11. Let w be p(1). What is the remainder when v(-2) is divided by 15 + (-4 - (-6 - w))?
14
Suppose 1892*n - 1864*n = 3248. What is the remainder when 314 is divided by n?
82
Suppose -8*y = -263 + 47. Suppose -y - 9 = -6*g. Suppose -2*s - 18 = -5*s. Calculate the remainder when g is divided by s.
0
Let f(i) = i**2 - 2*i - 19. Let s(k) = -2*k + 178. What is the remainder when s(32) is divided by f(8)?
27
Suppose 0 = -3*p - 4*c + 5, 5*p - 2*c = 55 - 38. Calculate the remainder when (p + 0)/3*(115 - -4) is divided by 47.
25
Let f(t) = t**2 + 21*t + 58. Suppose 4*y - 2 = 6*y, -20 = o + 3*y. Let j be f(o). Calculate the remainder when 161 is divided by 5/(-1) + j + 56.
38
Let u(r) = -r**3 + 10*r**2 + r + 15. Let x be u(11). Let d = -66 - x. What is the remainder when d is divided by 2*(4/2 + 1)?
5
Calculate the remainder when 547 - (2 + -3)*-14 is divided by 63.
29
What is the remainder when 1353 is divided by 70 + (8/18)/((-8)/(-180))?
73
Suppose z + z - 90 = -w, 5*z + 325 = 3*w. Suppose 0 = -4*j + w - 40. What is the remainder when 508 is divided by j?
13
Let j(q) = 14*q - 12. Let d = -800 + 851. Calculate the remainder when j(8) is divided by d.
49
Suppose -9 = 3*c, -3*r + 174 = -4*c + 2*c. Suppose 0 = 12*x - 16*x + 2*q + 38, -2*x = q - 33. What is the remainder when r is divided by x?
4
Let v = -208 + 71. Let r = -29 - v. Suppose -5*q - 2*z = -r, -7*z = -5*q - 3*z + 114. Calculate the remainder when 86 is divided by q.
20
Let n(w) = w**2 - 5*w - 7. Let s be n(-6). Let u = -9 + s. Calculate the remainder when u is divided by 20.
10
Let o(h) = 66*h - 6. Let a be o(8). Suppose -24 = 2*v - a. What is the remainder when v is divided by (-1199)/495 + (-99)/(-45) + (4775/(-45))/(-5)?
18
Let l(a) = 11*a**2 + 4*a + 10. Let s(m) = -11*m**2 - 4*m - 10. Let q(n) = 3*l(n) + 2*s(n). Calculate the remainder when q(-4) is divided by 82.
6
Let f(c) = 2*c - 11. Let o be f(8). Suppose 0*p = -o*p + 15. Suppose v = -5*m - p + 17, 41 = 4*v + 5*m. What is the remainder when v is divided by 3?
0
Let n(q) = -3056*q**3 - 21*q - 51. Calculate the remainder when n(-2) is divided by 260.
259
Let h be (4*3/(-24))/(4/(-80)). Suppose -h*w + 6*w = -496. Calculate the remainder when w is divided by 36.
16
Let h(p) = p**3 + 8*p**2 - 27*p - 29. What is the remainder when 355 is divided by h(-9)?
89
Let o(q) be the first derivative of -q**4/2 - 5*q**3/3 - 13*q**2/2 + 13*q + 171. Calculate the remainder when o(-5) is divided by 34.
33
Suppose -345*s = -401*s + 23408. What is the remainder when s is divided by 5?
3
Let x = 7 + 0. Let a(m) be the first derivative of -m**3/3 - 15*m**2/2 - 44*m + 34. What is the remainder when a(-8) is divided by x?
5