 m(i) = i**3 - 9*i**2 + 18*i + 16. What is the remainder when 67 is divided by m(3)?
3
Let x(z) = -4*z - 18. Let k be x(-6). Let b(s) = 3*s - 7. Let t be b(k). Suppose 14*r - 21 = t*r. Calculate the remainder when 13 is divided by r.
6
Suppose 0 = -15*s + 2*s + 39. Calculate the remainder when 603 is divided by s.
0
Let g = -436 - -476. What is the remainder when 154 is divided by g?
34
Suppose -104 = 4*r + 4*h, 3*r + 72 = h + 2*h. Let l = r - -13. What is the remainder when 3 is divided by 7/((-28)/l) + -1?
1
Calculate the remainder when (-3 - 49/(-14))*738 is divided by 37.
36
Let t(l) be the first derivative of 19*l**2/2 + 2*l - 10. Let i be t(5). Suppose 5*m - 78 = i. What is the remainder when 68 is divided by m?
33
Let b(g) = 9*g - 1. Let x be b(1). Suppose 115 = -x*v + 363. Calculate the remainder when v is divided by 8.
7
Suppose 4*l + 155 + 423 = 5*x, x = -l + 121. What is the remainder when x is divided by 12?
10
Suppose -3*j - j = 3*v - 50, v + 42 = 4*j. Suppose 0 = 5*d - 5*a - 10, 4*a = -d + j + 16. What is the remainder when (d + -4)*22/3 is divided by 12?
10
Let y be ((-2)/(-2) + -2)*-1. Let c(b) = 7 - b + y + 2 - b**2 - 6*b. Calculate the remainder when 39 is divided by c(-7).
9
Suppose 3*m - 12 = -4*l - 0*m, -m = -3*l - 4. Suppose l = -4*k + 57 - 13. Calculate the remainder when 18 is divided by k.
7
Let a = -53 + 94. Calculate the remainder when 282 is divided by a.
36
Let b be (380/18)/(-5) + (-22)/(-99). Calculate the remainder when (-6)/b*8/(-12)*-52 is divided by 9.
7
Let a = -1 + 1. Let u be (30 - 2/2) + a. Calculate the remainder when 70 is divided by -3 + 1 + (u - 3).
22
Suppose 15 = 2*c - 9. Let j(y) be the third derivative of 19*y**6/40 + y**5/60 + y**4/12 - y**3/3 + 15*y**2. Calculate the remainder when j(1) is divided by c.
10
Let q(d) = 26*d - 131. What is the remainder when 459 is divided by q(8)?
74
Let r = 21 - 17. Suppose -r - 3 = -t. Let n = 1 + 1. What is the remainder when t is divided by n?
1
Let u(y) = -14 - 2 + 4 + 4*y + 2. Calculate the remainder when (-148)/(-6)*(-18)/(-12) is divided by u(5).
7
Suppose 0 = 5*d + 4*l - 227, 3*l - 10 = 3*d - 130. What is the remainder when d is divided by 25?
18
Let y be 493/3 - (12/9)/1. Let v = y - -7. Calculate the remainder when v is divided by 29.
25
Let g(k) = k**3 - 6*k**2 + 3*k + 1. Suppose w - 32 = -2*p - 11, 2*w + 38 = 4*p. What is the remainder when g(6) is divided by p?
9
Let t(q) = -49*q + 541. Calculate the remainder when 53 is divided by t(11).
1
Suppose 0 = -3*b + 47 - 11. Let d = 23 + -18. Calculate the remainder when b is divided by d.
2
Suppose -22*z = -441 - 241. What is the remainder when 102 is divided by z?
9
Let i = -430 + 512. What is the remainder when i is divided by 45?
37
Suppose 0 = -3*k + 4*g + 284, 4*k + 141 - 533 = 2*g. Calculate the remainder when 197 is divided by k.
97
Suppose 3*p + 5*t - 208 = 0, 2*p + 0*p = 2*t + 160. Let s = 113 - p. What is the remainder when 72 is divided by s?
35
What is the remainder when 37 is divided by (6/(-2))/((-37)/259)?
16
Let l(g) be the third derivative of 2*g**5/15 + g**4/12 - g**3/3 - 9*g**2. Calculate the remainder when 236 is divided by l(2).
32
Suppose -25 - 455 = -4*y. What is the remainder when y is divided by 3?
0
Let s be -3*((-171)/38)/((-2)/4). Let f = -27 - -4. Let l = f - s. Calculate the remainder when 12 is divided by l.
0
Let t(z) = 3*z**2 + 3*z + 3. Let y be t(-2). Suppose -8*d + y*d - 18 = 0. Suppose -4*n = -6 - d. Calculate the remainder when 11 is divided by n.
5
Suppose -g = -5*m + 3*g + 254, 104 = 2*m - 4*g. Let h(w) = -43*w + 142. What is the remainder when m is divided by h(3)?
11
Suppose 20 = y - 5*l, 3*y - 2 = 2*l + 19. Suppose y*j - 152 = -3*j. What is the remainder when 94 is divided by j?
18
Suppose 7*f = 6*f - 45. What is the remainder when 3 - (4 - 4) - f is divided by 10?
8
Let d = 23 + -4. Calculate the remainder when 16/(-14)*(-189)/(-270)*-90 is divided by d.
15
Suppose -f + 367 = 4*n + 50, 0 = 4*n - 20. Calculate the remainder when f is divided by 17.
8
Let z(o) = -5*o. Let a be (6/(-4))/((-1)/(-2)). Let f = 369 + -340. What is the remainder when f is divided by z(a)?
14
Let j = 77 + -78. Let x(p) = -2*p - 1. What is the remainder when (9/((-135)/20))/(j/15) is divided by x(-6)?
9
Suppose -147*j + 20 = -146*j. What is the remainder when 579 is divided by j?
19
Let w(u) = -u**3 + 8*u**2 - 5*u - 1. Let g be (-2 - (-1 + -1)) + 2. Calculate the remainder when w(7) is divided by 15*(g/6 - 0).
3
Suppose 0 = -2*d + 4*r + 880, d + 4*r - 231 = 215. Calculate the remainder when d is divided by 18.
10
Let r(b) = -b**2 + 21*b - 11. Suppose -389 - 101 = -5*z. Suppose 0 = i + 4*i - 2*q - z, 3*i = -3*q + 42. Calculate the remainder when r(16) is divided by i.
15
Suppose -r - r = 0. Suppose 2*a - 5*s = 6, -s + 2*s = r. Suppose -3*u = -q - 13, a*q - 20 = -2*u - 4. What is the remainder when u is divided by 4?
1
Let g(l) = 3*l + 177. What is the remainder when g(-39) is divided by 13?
8
Let p = 126 + -54. Let y = -1415 - -1440. Calculate the remainder when p is divided by y.
22
Let o(f) = 11*f - 11. Let m(r) = -r**3 + 4*r**2 + 2*r + 17. Let w be m(5). Suppose 3*t - 16 = -t. Calculate the remainder when o(w) is divided by t.
3
Suppose -z + 4*y = -327, y + 134 + 199 = z. What is the remainder when z is divided by 48?
47
Suppose 5*h = -4*d + 64, 0*h = d - 5*h + 9. Suppose 6*j - 762 = 138. Suppose -6*x + x = -j. Calculate the remainder when x is divided by d.
8
Let c = 65 - -8. Suppose 3*u = -0*k - k + 43, -10 = 5*k. Calculate the remainder when c is divided by u.
13
Suppose 672 = 119*h - 71*h. What is the remainder when 1215 is divided by h?
11
Let p = -34 - -36. Suppose p*n - n - 10 = 0. What is the remainder when 28 is divided by n?
8
Let n = -157 - -182. Calculate the remainder when 73 is divided by n.
23
Suppose g - 5*h - 120 = -2*h, -5*g - h = -520. Calculate the remainder when g is divided by 57.
48
Let n = 25 + -10. Suppose 0*g - 3*g - n = 0. Let s(t) = -t**3 - 5*t**2 - 2*t - 7. What is the remainder when 3 is divided by s(g)?
0
Let b = 1897 - 1849. What is the remainder when 75 is divided by b?
27
Let j = -45 + 52. Suppose 8*g - 22 = j*g. What is the remainder when 43 is divided by g?
21
Let z be (4 - 19/4)/((-4)/16). Suppose z*d - 22*d + 437 = 0. Let q(c) = 15*c**2 + c. Calculate the remainder when d is divided by q(-1).
9
Let l = 25 + -18. Suppose 29 = -0*c - c. Let x = c - -41. Calculate the remainder when x is divided by l.
5
Suppose -3*l - 15 = 0, -4*v + 4*l + 1057 = 3*l. What is the remainder when v is divided by 67?
62
Suppose -33 = -2*u + 33. What is the remainder when 35 is divided by u?
2
Let p(f) = -9*f - 5. Let r = -59 - -102. What is the remainder when r is divided by p(-3)?
21
Suppose -4*l - 115 = -31. Let x be 7/3 + (-14)/l. Suppose 0*a = -x*a - 3*b + 36, 0 = a - 2*b - 24. What is the remainder when 45 is divided by a?
13
Suppose 7*c + 144 = 5*b + 4*c, 5*b + 4*c - 158 = 0. What is the remainder when b is divided by 8?
6
Suppose -3*t + 243 = -0*t - 3*b, 2*b = -3*t + 233. Let c = t + -76. Calculate the remainder when 12 is divided by c.
0
Suppose -3*u - 4*n = -229, -2*u - 2*n - 50 = -206. What is the remainder when u is divided by 14?
13
Suppose 5*j - 255 = 2*l, -4*l + 73 - 191 = -2*j. What is the remainder when 193 is divided by j?
46
Suppose n - 3*j = 51, n + 3*j - 91 = -2*j. Suppose 12*q - 10*q - n = 0. Suppose 34 = 5*a - 11. Calculate the remainder when q is divided by a.
6
Suppose 2*h = -14*h + 432. Suppose -4*a = -d - 312, d - 162 = -2*a - 0*d. Calculate the remainder when a is divided by h.
25
Suppose 5*v - 75 = -5*w, 2*v - v + 2*w - 18 = 0. Let t = -10 + v. Suppose -t*n - 48 = -b + 33, 243 = 3*b - 3*n. What is the remainder when b is divided by 21?
18
Let y(g) = -3*g**2 - 24*g + 1. Let t be y(-8). Calculate the remainder when 46*t - (-3 - 1 - -3) is divided by 14.
5
Let m(s) = -2*s - 3. Let l be m(-3). What is the remainder when 11/((-26)/9 + l) is divided by 25?
24
Let s be -1 - 6 - 1/1. Let k(d) = -d**3 - 7*d**2 - 8*d - 7. Let l be k(-4). Let u = s - l. What is the remainder when 29 is divided by u?
14
Calculate the remainder when 5/7 - (-55215)/315 is divided by 156.
20
Let o(q) = -10 + 18 - q - 9. Let a be o(-5). Suppose -12 = -a*y, 0 = -2*h - 2*h + y