k - 2*y, 3*y + 9 = 0. What is the remainder when k is divided by 16?
10
Let c(l) = -l**2 - 8*l + 49. Let s be c(-11). What is the remainder when 126 is divided by 14 - (s - 7) - (-4 - 1)?
6
Let z = -426 + 536. Suppose -3*c - 23 = -z. Calculate the remainder when 101 is divided by c.
14
Let n(j) be the second derivative of -7*j**3/6 + 17*j**2/2 - 98*j. Suppose 2*p + 8 = 0, -2*w + p + 13 = 3. Calculate the remainder when n(0) is divided by w.
2
Suppose -5*d + d + 6 = -2*c, 3*c + 5*d - 2 = 0. Suppose 3*x - 2 = -14*w + 16*w, 4 = 5*w - 3*x. Calculate the remainder when 10 - (-2 - -2) - c is divided by w.
1
What is the remainder when 133 is divided by ((-60)/(-27))/(((-160)/(-72))/20)?
13
Suppose 50*x - 46*x + 32 = 0, 2*s - 4*x - 362 = 0. Calculate the remainder when 2821 is divided by s.
16
Let a(k) be the first derivative of 3*k**2/2 - 16*k + 8. Let x be a(7). Suppose -x*w - 72 = -6*w. Calculate the remainder when w is divided by 15.
12
Let i(x) = -x**3 + 16*x**2 - 21*x + 36. Let n be i(15). Calculate the remainder when 108/2 - (1 - 2) is divided by (-83)/(-3) - 18/n.
27
Suppose -697 = -7*f + 843. Let b = 235 - f. What is the remainder when 56 is divided by b?
11
Suppose 157*a - 232839 - 192753 = -31679. What is the remainder when a is divided by 48?
13
Let d(p) = 11*p**2 + 33*p - 105. Let r(g) = 6*g**2 + 17*g - 52. Let x(k) = 3*d(k) - 5*r(k). Calculate the remainder when 27 is divided by x(3).
13
Suppose -4*p + 52 = -2*p. Let m = 541 + -481. Suppose -6 + m = 6*h. Calculate the remainder when p is divided by h.
8
Suppose -2433 = -2*p - 3*m - 2388, 61 = p - 4*m. What is the remainder when 7189 is divided by p?
28
Let j be (-3)/(-12)*0/(-2). Suppose 5*w - 9*w + 112 = j. Let f = -34 - -42. What is the remainder when w is divided by f?
4
Let f = -229 - -254. Let r = f - 12. What is the remainder when 102 is divided by r?
11
Let y(s) = 4*s - 41. Let m(t) = t**3 + 6*t**2 + 2*t - 5. Calculate the remainder when m(-4) is divided by y(12).
5
Let o = 15 - 11. Suppose -4*g + 28 = -8*g. Let z(y) = -2*y - 7. What is the remainder when z(g) is divided by o?
3
Let g = 61466 - 61430. Suppose 3*t = 3*q + 3 + 6, 4*t + 3*q = -9. Suppose t = 3*j - 12 - 27. What is the remainder when g is divided by j?
10
Let t = 10683 - 10648. Calculate the remainder when t is divided by 19.
16
Let i(y) = 60*y**2 - 206*y + 610. Calculate the remainder when i(3) is divided by 10.
2
Let m = -2253 + 2282. Calculate the remainder when 578 is divided by m.
27
Suppose 0 = 52*j + 638 - 14. Let u be (-152)/(-10) + 1/(-5). Let q = u + j. Calculate the remainder when 62 is divided by q.
2
Let b(j) = -j**3 + 3*j**2 + 18*j - 3. Let h be b(6). Let i(f) = 12*f**2 + 3*f - 5. Calculate the remainder when i(h) is divided by 24.
22
Let c(u) = -74*u - 4298. Calculate the remainder when c(-71) is divided by 38.
6
Let x(q) = 45*q - 214. Let n be x(18). Suppose -n*a - 396 = -602*a. What is the remainder when 66 is divided by a?
0
Suppose 7 = -m - 5*z, -2*z - 14 = -2*m - 5*z. Let y = m + 9. Suppose -285271 = -274*w - 282805. What is the remainder when y is divided by w?
4
Let a(o) = -49*o - 594. Let g(i) = 74*i + 891. Let m(n) = -8*a(n) - 5*g(n). What is the remainder when 162 is divided by m(-12)?
30
Suppose 5*i = -3*w + 190, 0 = 2*w + 4*i - 6*i - 116. Suppose 0 = 20*y - 14*y - w. Calculate the remainder when 268 is divided by y.
8
Let p(y) = -5*y - 5. Let j be p(-2). Suppose -2*f - 54 = -j*f. What is the remainder when f is divided by ((-108)/(-90))/(3/25)?
8
Let l(p) = 2111*p + 14819. Let m = -3 - -12. Calculate the remainder when l(-7) is divided by m.
6
Let n(v) = -v**3 - v**2 + 13*v + 14. What is the remainder when n(-8) is divided by 55?
28
Suppose 0 = 2*z - 0 - 6, -5*u = -5*z + 5. Suppose -12 = -u*m - 2. Suppose 5*h + m*i = 70, -h - 6 = -4*i - 45. What is the remainder when h is divided by 7?
5
Suppose 41 = -5*p + 236. Calculate the remainder when p is divided by (0*7/(-42))/1 - 32/(-2).
7
Suppose 9*f - 8*f = 4*d + 67, -3*d - 39 = -3*f. Calculate the remainder when (-12)/(-18) - 1 - 1212/d is divided by 47.
20
Let v be (-117)/(-26) + (-1 - (-1)/2). Suppose -2*s + 3 = b + 7, 4*b - v*s = 8. Suppose -7*p - 5 + 341 = b. What is the remainder when p is divided by 13?
9
Suppose 5*v - 74*y - 390 = -79*y, -5*v + 2*y = -446. Calculate the remainder when v is divided by 58.
28
Suppose -10*z + 261 = 11. Suppose -31*m + z*m + 576 = 0. What is the remainder when m is divided by 33?
30
Let f = 497 - -39. Suppose -2296 = -55*n - f. Let c(v) = v**3 - v**2 - v + 94. Calculate the remainder when c(0) is divided by n.
30
Let x(z) = 28*z**2 - 2*z + 18. Let o be x(3). Suppose 0*a = -6*a + o. What is the remainder when 175 is divided by a?
43
Suppose -907*u + 913*u - 6456 = 0. What is the remainder when u is divided by 151?
19
Let r = 7229 - 7155. What is the remainder when 226 is divided by r?
4
Let o(n) = -5*n + 86. Suppose 9*m + 135 = -0*m. Calculate the remainder when o(m) is divided by 42.
35
Suppose 3*s + 338 = 4*u - 184, s = -u + 120. Calculate the remainder when 746 is divided by u.
116
Let z(f) = 33. Let i(g) = -g - 33. Let n(v) = -3*i(v) - 2*z(v). Calculate the remainder when 88 is divided by n(4).
43
Suppose 29*o - 7*o + 13*o - 175 = 0. Calculate the remainder when 269 is divided by o.
4
Suppose -3466*f - 19295 = -3483*f. What is the remainder when f is divided by 167?
133
Let u be 13 + 239411/119 + (-2)/(-14). Let r(n) = 67*n**2. What is the remainder when r(1) is divided by (-15)/(u/(-1332)) + 2/15?
7
Calculate the remainder when 8/(-88) - 1788/(-66) is divided by 12 - (-6)/(-3) - 0.
7
Suppose -2*c + s + 58 = 0, -3*c = 2*s - 51 - 8. Suppose 4*y - 338 = -2*v + 58, -3*v + 495 = 5*y. Calculate the remainder when y is divided by c.
24
Suppose 0 = -15*q + 5*q - 2660. Let w = q - -281. Calculate the remainder when 43 is divided by w.
13
Let f(l) = l**3 - 89*l**2 + 1228*l - 208. Let i = -75 - -36. Let k = i + 66. Calculate the remainder when f(72) is divided by k.
26
Suppose -2*f = -v + 39, -160 = 3*v - 2*f - 297. What is the remainder when 117 is divided by v?
19
Suppose -26*u = -31*u - b + 1178, -3*u = -2*b - 712. What is the remainder when u is divided by 82?
72
Let t = 241 + -161. Suppose t = 30*q - 100. What is the remainder when q is divided by 2?
0
Suppose 114*d + 3072 = 108*d. Let w = -416 - d. Calculate the remainder when 285 is divided by w.
93
Let v(n) = -55*n - 189. What is the remainder when v(-5) is divided by 4?
2
Calculate the remainder when 265 is divided by (352/(-12))/((-5)/(-15)*-1).
1
Let n = -75 - -75. Let x(p) = p**3 + p**2 + 2. Let v be x(n). Suppose -6 = -2*t + v*h, -4*t + 4*h + 12 = 2*h. Calculate the remainder when 19 is divided by t.
1
Calculate the remainder when 421 is divided by 31/(744/2784) - 1*5.
88
Let h be 0 - (-7 + (1 - -5 - 3)). Suppose 4*v - 171 - 37 = -2*w, h*w + 167 = 3*v. What is the remainder when 423 is divided by v?
52
Suppose -5*w + 521 = 3*c, 4*c - 9*w - 703 = -14*w. Suppose 1008 = -166*t + c*t. Calculate the remainder when t is divided by 17.
12
Suppose 0 = 5*h - 5*n + 25, 0 = h - 4*h + 2*n - 12. Let k(w) = 2*w**3 + 26*w**2 + 23*w + 2. What is the remainder when (-1)/h*(60 + 8) is divided by k(-12)?
6
Let d(l) = 199*l**2 - 30*l - 31. Calculate the remainder when 636 is divided by d(-1).
42
Let d(x) = 2*x**2 + 16*x + 41. Let l be d(-8). Suppose 0 = v + 4*p - l, 10*v + 3*p = 9*v + 43. Calculate the remainder when 391 is divided by v.
48
Let g be ((-4)/(-14))/((-300)/(-42) + -7). Suppose 44 + 57 = -3*c + g*a, -2*c - 4*a - 94 = 0. Let d = c + 51. Calculate the remainder when 38 is divided by d.
10
Let h = -10 - -35. Suppose 0 = t + 3*r - h, -4*t - r + 90 = r. Calculate the remainder when 183/4*(-13 + 5)/(9 - 15) is divided by t.
17
Let z(f) = 2*f + 3. Let s = 618 + -403. Suppose -2*n - s = -5*y + 2*n, y - 42 = n. Calculate the remainder when y is divided by z(11).
22
Let d(n) = 50*n + 3553. Calculate the remainder when 51 is divided by d(-71).
0
Let g = 25397 + -25367. What is the remainder when g is divided by 8?
6
Let s = 33 + 29. Let v(n) = n**3 + 6*n**2 + 13*n + 99. Let g be v(-6). Suppose g = 68*l - 67*l. What is the remainder when s is divided by l?
20
Let v = -6315 - -6473. What is the remainder when 852 is divided by v?
62
Suppose 126 = 16*h - 50. Suppose h*