by 72.
67
Let t(f) = f - 4. Let z be t(3). What is the remainder when 12/(26/4 - (-400)/(-80)) is divided by (-3)/6*z*12?
2
Suppose 28*u = 3*l + 27*u - 404, -4*l + 4*u = -544. Calculate the remainder when l is divided by 75.
59
Let q be (20/(-15))/(((-20)/9)/5). Let l(p) = 3*p**2 + 5*p + 0 + 0 + q*p**2 + 10 + p**3. Calculate the remainder when l(-5) is divided by 10.
0
Let m(s) = 5*s**2 + 46*s + 137. Calculate the remainder when 233 is divided by m(-8).
55
Suppose 24656 - 8472 = 34*h. What is the remainder when h is divided by 53?
52
Let z(s) = 12*s**2 + 45*s - 115. Calculate the remainder when z(10) is divided by 27.
23
Let r(s) = -s**3 - 11*s**2 - 36*s + 67. Calculate the remainder when 40747 is divided by r(-8).
160
Let c(k) = k**2 - 17*k + 15. Let h be c(17). Suppose 9*l + 3 = -h. What is the remainder when 54 is divided by (-5)/(2/2)*-2 + l?
6
Let p = 2 - -2. Let w = p - 1. What is the remainder when 11/4 - (-12 + 94/8) - -13 is divided by w?
1
Suppose 4*i - 3*g + 9 = -13, -3*i + 4*g - 20 = 0. Calculate the remainder when -7 + 107 + (3 - i) is divided by 36.
35
Suppose y - 5*y + 24 = 0. Let b = 185 + -197. Let c = 22 + b. What is the remainder when c is divided by y?
4
Suppose -71 = -7*z + 34. Let m = 42 - 39. Calculate the remainder when (14/m)/(((-5)/(-45))/1) is divided by z.
12
Suppose -3*x + 143 = -2*c, 39*x + 5*c + 179 = 43*x. What is the remainder when 157 is divided by x?
4
Let o = 199 - 181. Suppose 0 = o*q - 16*q - 12. What is the remainder when 21 is divided by q?
3
Suppose -7707*j + 7714*j - 280 = 0. Let t(o) = -73*o + 1. What is the remainder when t(-6) is divided by j?
39
Let j be 1*26/(1 - 3). Let h(w) = -9*w - 85. Calculate the remainder when 222 is divided by h(j).
30
Let r = -8232 + 8325. Suppose -3*v + 22 + 35 = 0. What is the remainder when r is divided by v?
17
Let k(q) = -7*q**3 - 3*q - 2. Suppose 5*d = 2*x + 219 - 51, 2*x = 4*d - 170. What is the remainder when x/(-3) + (-12)/(-9) is divided by k(-1)?
7
Let g = -98 - -115. Let d(l) = 5*l - 56. Calculate the remainder when 136 is divided by d(g).
20
Suppose 0 = -27*x - 37*x + 2880. What is the remainder when x is divided by 24?
21
Suppose 2781 = 35*v + 16. What is the remainder when 388 is divided by v?
72
Let p be 225/(-135)*(31*-1 - -1). Suppose -18 = d - p. Calculate the remainder when 98 is divided by d.
2
Let n be 9405/77 + (-1)/7. Suppose -91 - 31 = -2*m + 5*h, 0 = -2*m + 4*h + n. Calculate the remainder when m is divided by 1/(((-11)/(-682))/((-1)/(-2))).
30
Suppose -41 - 55 = -2*b. Suppose 51 = -6*d + 153. Calculate the remainder when b is divided by d.
14
Let d(w) = 6*w - 41. Suppose 4*i = 2*o - 44, 0*i - 31 = -3*o - i. Let f = -3 + o. What is the remainder when 102 is divided by d(f)?
11
Suppose 0 = -108*c + 164852 + 285076. What is the remainder when c is divided by 144?
134
Let n(y) = y - 46. Let v be n(7). Let p be 12/3 - v*2. Suppose p - 208 = -7*t. What is the remainder when 89 is divided by t?
17
Let q = -5781 - -6098. What is the remainder when q is divided by 51?
11
Let m(y) = 16*y - 65. Let j be (-3)/(-27)*-3 - 160/(-30). Calculate the remainder when 29 is divided by m(j).
14
Let g be (-54)/4*(-2)/3. Suppose -4*i + g = -i. Suppose 204 = 5*d + j, -60*j - 144 = -4*d - 64*j. Calculate the remainder when d is divided by i.
0
Suppose -2*q + 680*u + 680 = 683*u, 4*q + 3*u - 1354 = 0. What is the remainder when q is divided by 85?
82
Let z(y) be the first derivative of -35*y**2/2 - 3*y + 3. Let o(u) = 5*u**2 - 131*u + 23. Let k be o(26). What is the remainder when z(k) is divided by 26?
24
Suppose 0 = -12*p + 175 + 65. Suppose 2*z - 4*o - 32 = -2*z, 3*z - 2*o - p = 0. Suppose -3*q + 56 + z = 0. Calculate the remainder when 93 is divided by q.
13
Let u be ((-150)/(-4))/(-5)*(-156)/9. Suppose g + 122 - u = 0. Calculate the remainder when 35 is divided by g.
3
Let g(q) = q**2 + 11*q + 17. Let c(h) = -h**2 + 7*h + 7. Let z be c(9). Let o(j) = j**3 + 7. What is the remainder when g(z) is divided by o(0)?
3
Let q(x) = x**3 + 10*x**2 + 25*x + 21. Let y be 0 + -6 - (10 - 10). Calculate the remainder when 101 is divided by q(y).
11
Let l(t) = 18*t - 40. Let m(u) = u. Let h(b) = 2*l(b) - 20*m(b). What is the remainder when h(12) is divided by 19?
17
Suppose 5*b - 8*b - i = -155, -4*b = 2*i - 208. What is the remainder when 176 is divided by b?
23
Let s(u) = -11*u - 6. Suppose -269*q + 3861 = 218*q - 6366. Calculate the remainder when s(-4) is divided by q.
17
Suppose 2*i + 5*m - 2*m = 35, -3*i - 2*m = -65. Let x(c) = 86*c**2 - 4*c - 4. Calculate the remainder when x(-1) is divided by i.
11
Let z(h) = -h**2 - 23*h - 104. Let v be z(-7). Suppose -v*r + 381 = -419. Calculate the remainder when r is divided by 17.
15
Let i = 107 - -298. Let y = -394 + i. Suppose 3*b + 57 = 6*b. Calculate the remainder when b is divided by y.
8
Suppose 379 = -4*a + 395. Suppose 3*l = s - 11 - 64, -l = -a. Calculate the remainder when s is divided by 45.
42
Suppose 91*w = -232*w + 7627 + 6585. Calculate the remainder when 517 is divided by w.
33
What is the remainder when 7/(-14) - (101673/(-22))/13 is divided by 352?
3
Let u = -4870 - -4961. What is the remainder when 270 is divided by u?
88
Let p(i) = -i**3 - 10*i**2 + 38*i + 44. What is the remainder when 680 is divided by p(-13)?
53
Suppose -15*g + 7*g = -5624. Suppose -g = -14*o - 87. What is the remainder when o is divided by 13?
5
Let w be (9 + -18)/(0 - (-2)/154). Let d = 826 + w. What is the remainder when d is divided by 24?
13
Let y = -609 + 625. What is the remainder when 68 is divided by y?
4
Let k(w) = -23*w**2 - 28*w + 62. Let a be k(2). Let x = a + 113. What is the remainder when x is divided by 19?
8
Suppose 4*b = -12, -3*b = -2*a - 2 + 47. Let x(d) = 13*d. What is the remainder when x(4) is divided by (132/a)/(-2)*-3?
8
Let g = 458 - 466. What is the remainder when 18/(-28)*-72 + g/28 is divided by 7?
4
What is the remainder when 75 is divided by (62/155)/(4/30)*(-220)/(-30)?
9
Let o(f) = 15*f**2 + 33*f - 67. Calculate the remainder when 144 is divided by o(2).
26
Calculate the remainder when -8*(-6 - 77/(-14)) + 509 is divided by 136.
105
Suppose 522 = 3*s + 2*s + 4*k, -328 = -3*s + 5*k. Let a = 175 - s. Calculate the remainder when a is divided by (60/25)/((-6)/(-30)).
9
Let f = -44 + 79. Let v(y) = 41*y**2 + 0*y - 4*y - 8*y - 10 + 166*y**2. Calculate the remainder when v(-1) is divided by f.
34
Suppose 15*l + 1150 = -10*l. Let x = l + 63. Let h = 98 + -51. What is the remainder when h is divided by x?
13
Suppose -2*x - 4 + 8 = v, -2*x + 8 = -v. What is the remainder when 24 is divided by x?
0
Let r = 4632 + -4592. Calculate the remainder when 621 is divided by r.
21
Let z(o) be the second derivative of 11*o + 3/2*o**4 - 1/20*o**5 - 3*o**3 + 0 + 33/2*o**2. Calculate the remainder when 55 is divided by z(17).
7
Suppose 159 = 6*u + 2355. Let c = 381 + u. What is the remainder when 172 is divided by c?
7
Suppose -2*w + 317 = 3*f, -5*w = -4*f - 111 - 693. What is the remainder when 280 is divided by w?
120
Let x(g) = 2*g**2 - 28*g + 3. Let f be x(14). Suppose 4*y - r = 831, -f*r - 25 = -16. Calculate the remainder when y is divided by 26.
25
Let d(q) = q**2 - 37*q + 8. Let w(x) = 2*x**2 - 38*x + 8. Let l(m) = -2*d(m) + 3*w(m). What is the remainder when l(10) is divided by 7?
1
Let k = -87 + 102. Suppose -6*a - 51 - k = 0. Let l = -8 - a. What is the remainder when 11 is divided by l?
2
Suppose -3*r + c - 3 = -2*c, r + 2*c - 11 = 0. Suppose 5*x = -0*k - 2*k + 132, -r*x + 5*k = -73. Calculate the remainder when x is divided by 2/2 + 72/(-9)*-1.
8
Suppose 0 = 3*c - 3*k - 2370, 233 = 2*c - k - 1344. What is the remainder when c is divided by 388?
11
Suppose 5*z - 183*i + 185*i = 5943, -5*i - 5985 = -5*z. Calculate the remainder when z is divided by 98.
15
Let c(t) = -12*t - 165. Let l(b) = 12*b + 158. Let x(s) = -3*c(s) - 4*l(s). What is the remainder when 66 is divided by x(-13)?
9
Let s(b) = 2*b**3 + 49*b**2 + 57*b + 109. Calculate the remainder when s(-23) is divided by 43.
41
Let b(u) be the second derivative of u**5/10 + 11*u**4/6 - u**3/2 - 27*u**2/2 - 108*u. Calculate the remainder when 15 is divided by b(-11).
3
Let s = 502 - 494. What is the remainder when 161 is divided by (-1107)/(-82)*s/6?
17
Suppose 140462 