18))/(2/(-6)). Calculate the remainder when 37 is divided by l(p).
12
Suppose c - 7 = 2*o, 5*o + c + 3*c = -50. Let p = 26 - o. Suppose y + p = 3*g, -5*g + 60 = -3*y - 2*y. What is the remainder when 29 is divided by g?
9
What is the remainder when ((-238)/(-6))/(7/24 + 160/(-1280)) is divided by 81?
76
Let v(g) = 3 + 5*g + 1 + 2*g - 2. What is the remainder when v(1) is divided by 14/8 - (-5)/20*1?
1
Let g(f) be the second derivative of f**3 + 62*f**2 + 149*f. Calculate the remainder when 12 is divided by g(-20).
0
Let s = -49 + 148. Let d(h) = h**2 - 7*h + 22. Calculate the remainder when s is divided by d(4).
9
Let m be ((-36)/10)/(22/(-385)). Let c = m - 41. Let s(b) = -b**3 - 7*b**2 + 6*b + 86. What is the remainder when c is divided by s(-6)?
8
Let z = 60 - -18. Suppose 140 = -10*c + 8*c. Let b = c + z. Calculate the remainder when 9 is divided by b.
1
Suppose 81*x = 86*x. Suppose 86 = 3*m + 5*c, 3*c = 2*m - x*c - 51. Let y = 33 - -74. What is the remainder when y is divided by m?
26
Let y(f) = 10*f + 73. Let k be y(-7). Suppose -k*n + 0*x = -2*x - 56, n - 20 = x. Calculate the remainder when 61 is divided by n.
13
Suppose y = 6*y - 455. Let u = -927 + 973. Calculate the remainder when y is divided by u.
45
Let l(a) = -25*a**2 - 2*a + 3*a - 10*a**2 + 9*a**2 + 1. Let m be l(1). What is the remainder when 41 is divided by ((-6)/4)/(m/176)?
8
Let h = 3 + 2. Suppose h*i = -5*g + 80, 2*i - 4*g - 80 = -3*i. Let k(n) = n**3 - 4*n**2 - 66*n + 311. What is the remainder when i is divided by k(5)?
4
Suppose -111*s + 7*s + 2288 = 0. Let d(a) = a - 3. Let x be d(0). What is the remainder when 63 - 4*x/6 is divided by s?
21
Let m(z) = -z**2 - 5*z - 10. Let c be m(-3). What is the remainder when ((-70)/c)/(23/184) is divided by 43?
11
Suppose m - 841 = -p, -21*p - m - 839 = -22*p. Suppose -33*a + 12*a = -p. Calculate the remainder when 118 is divided by a.
38
Suppose -333 = 13*f - 1178. Let z(w) = w**3 - 2*w**2 + 5*w + 4. Let u be z(-3). Let s = u + f. What is the remainder when 78 is divided by s?
6
Suppose 5*c - 90 = -5*l, -3*c - l + 22 = -6*l. Suppose s = -0*s - 2*w + 10, 0 = w + 1. Suppose c*x - 48 = s*x. What is the remainder when 142 is divided by x?
22
Calculate the remainder when 477 is divided by (1/((-1)/162))/(-2) + 3 + -4.
77
Let r(y) = 3*y**2 + y - 83. Calculate the remainder when r(-9) is divided by 27.
16
Suppose -5*g = 4*q - 125, -36*q + 31*q = 2*g - 152. What is the remainder when 67 is divided by q?
7
Let v = -67 + 91. Suppose -1794 = -52*l + 1118. What is the remainder when l is divided by v?
8
Suppose -84 = -2*m + 38. Let b = -92643 - -92871. Calculate the remainder when b is divided by m.
45
Suppose 5*i + 2470 = 5*s, 4*i = -21 + 37. Calculate the remainder when s is divided by 498.
0
Suppose y - v + 43 - 103 = 0, 0 = 4*y + v - 260. Calculate the remainder when 287 is divided by y.
31
Suppose 62*y = 4*p + 57*y - 1183, 2*y - 847 = -3*p. What is the remainder when p is divided by 14?
7
Let c(f) = -12*f - 44. Let p be c(-4). Suppose 80 + 12 = p*k + 4*j, -k + 11 = -5*j. Calculate the remainder when 146 is divided by k.
20
Let t(h) = h**3 - 6*h**2 + 4*h + 6. Let a be t(6). What is the remainder when 45 is divided by 1 + (-2 + -7)/(a/(-50))?
13
Let u = -130 + 192. Suppose 100*w + 2926 - 18711 = -105*w. Calculate the remainder when w is divided by u.
15
Let i be (-514)/8 - (-3)/12 - -1. What is the remainder when 112 is divided by -5 - i*5/(-25)*-5?
54
Suppose 6 + 33 = 13*d. Calculate the remainder when -3 + 122 + (0 + -3)/d is divided by 31.
25
Let w = -23673 + 23771. What is the remainder when 1578 is divided by w?
10
Let f(v) = -v**3 - 154*v**2 + 513*v + 6655. Suppose d - 3*d = -5*o + 55, 2*o = -3*d + 3. What is the remainder when f(-157) is divided by o?
7
Suppose 3*q - 10*q + 735 = 0. Suppose -j = 40 - q. Let z = j + -49. Calculate the remainder when 60 is divided by z.
12
What is the remainder when 488 is divided by 166 + 3*(-294)/63?
32
Let n = -52 - -52. Suppose n = x + 24 - 20. What is the remainder when 0 + (73/4 - x/(-16)) is divided by 7?
4
Let b = 2179 + -2158. Calculate the remainder when 251 is divided by b.
20
Suppose y + 2 = -2*f, -3*y + 5*y = 4*f + 12. Suppose y*k + 2*k + 3*r - 36 = 0, -k + 4*r - 10 = 0. What is the remainder when 3 is divided by ((-4)/6)/((-2)/k)?
1
Let q be 4172/21*(-6)/4. Let w = q + 337. Suppose 0 = 3*r - 4*i - 54, 3*i + 9 = -0*i. Calculate the remainder when w is divided by r.
11
Let v(d) = 39*d + 6. Let s be v(-5). What is the remainder when 6/s*-7 - (-8044)/9 is divided by 39?
36
Suppose 446*i - 806 = 441*i + 3*m, 0 = i + 2*m - 156. What is the remainder when 610 is divided by i?
130
Suppose 3*j - 3*u - 21 = 0, -2*j + 28 = 2*j + 3*u. What is the remainder when -2 + (-55)/(-15) + 1194*(-14)/(-252) is divided by j?
5
Let h(w) = -6*w**2 - 92*w + 1127. Suppose 0*s = -5*s + 3790. What is the remainder when s is divided by h(-23)?
68
Let k(s) be the first derivative of -s**3/3 + 8*s - 50. What is the remainder when 28 is divided by k(0)?
4
Let g(d) = 50*d**2 + 64*d + 193. What is the remainder when g(-3) is divided by 92?
83
Let j(x) = -x**2 - 33*x - 191. Let m be j(-8). Suppose m*y - 20 = 16. What is the remainder when 275 is divided by y?
3
Let y = 58 + -52. Suppose -2 = -2*d - 3*g + y, -d = -g - 9. Suppose -3 - d = -2*t. Calculate the remainder when 26 is divided by t.
1
Suppose -72 = 13*i - 839. Let r(s) = 3*s - 18. Let p(f) = 2*f - 9. Let k(z) = -11*p(z) + 6*r(z). Calculate the remainder when i is divided by k(-10).
28
Suppose 5*f - 11*f - 4868 = -4*m, -2*f = 3*m - 3638. Calculate the remainder when m is divided by 18.
8
Suppose -5*z - 9 + 34 = 5*r, 3*r + z = 11. Suppose r*d = 4*s + 288, 3*d + 2*s = 296 + 10. Let u(j) = 11*j + 1. What is the remainder when d is divided by u(3)?
32
Suppose 8 = -l - 4*w + 51, -4*l = -4*w - 152. What is the remainder when 399 is divided by l?
9
Let q(n) = 38*n. Let h = 19 - 17. Calculate the remainder when q(h) is divided by 5 - 1 - (17 - 9) - -30.
24
Let m(v) = -29*v - 39. Let j be m(-4). Let i = j - 55. Calculate the remainder when 79 is divided by i.
13
Suppose 15 = 7*l - 14*l + 12*l. What is the remainder when 51 is divided by l?
0
Let i = -6794 + 7432. What is the remainder when i is divided by 8?
6
Calculate the remainder when 80 + -68 + -1 + 375 is divided by 232.
154
Suppose i + 33 = a, 0*i + 4*i = -20. Suppose -24*q + 105*q - 6480 = 0. What is the remainder when q is divided by a?
24
Suppose 5*d + 8*m - 12*m - 60 = 0, 5*d = -5*m + 60. Suppose 36 = d*a - 240. Let g = 58 - -10. Calculate the remainder when g is divided by a.
22
Suppose 2*d + 0*j + 5*j = 399, 4*d - 3*j = 863. Suppose 201*i = d*i - 1606. What is the remainder when i is divided by 74?
72
Let m(s) = -s - 25. Let p be m(0). Let v = 40 + p. Suppose -2*c = -v - 15. What is the remainder when 53 is divided by c?
8
Suppose -2*k - 120 = -4*t - 3*k, 5*k + 51 = t. Suppose 5*f - 4*i = t, 2 = f - 2*i - 3. Calculate the remainder when 10 is divided by f.
3
Let d = -146 - -111. Let c = d - -98. Calculate the remainder when c is divided by 13.
11
Suppose -6007 = -81*b + 1607. Calculate the remainder when 280 is divided by b.
92
Let d be (1952/(-40))/((-6)/(-135)). What is the remainder when 2/5 - d/30 is divided by 16?
5
Suppose -2*h = -3*d + 25, 3*d - 32 = 5*h - 1. What is the remainder when 1672 is divided by d?
6
Calculate the remainder when 3824 is divided by ((-500)/(-3500))/((-1)/(-161)).
6
Let i(g) = 19*g + 5. Let z be i(-4). Let f = z + 114. Let t(x) = x**3 - 7*x**2 + 3*x - 12. Calculate the remainder when f is divided by t(7).
7
Suppose -5*i + 5*b = -88 - 37, b = -i + 19. Suppose 0 = 3*u - 14*u + i. Calculate the remainder when 16 is divided by u + 0 + 5 - (-4 + 4).
2
Suppose 9*u + k = 1939, 5*u = -6*k + 5*k + 1075. What is the remainder when 880 is divided by u?
16
Let q(s) = 36*s**2 + 6*s + 94. Calculate the remainder when q(-3) is divided by 161.
78
Suppose 0 = u + 7, -x - 6 = 28*u - 25*u. Calculate the remainder when 343 is divided by x.
13
Let y(o) = 4*o**2 - 5*o**2 - 8 - 4 + 3 - 15*o. Let p = -114 - -107. What is the remainder when y(p) is divided by 12?
11
Let i = -3 - -8. Let q = 16 - 16. Suppose q = 2*v - 7*v - 4*l + 111, -5*l - 74 = -3*v. Calculate the remainder when v is divided by i.
3