 is divided by j(-8).
106
Let m = -38 - -237. Let j(y) = -3*y**3 - 18*y**2 + 42*y + 314. Calculate the remainder when m is divided by j(-5).
25
Let k(o) = 12*o**2 + 6*o + 38. Let g be k(-17). Suppose 47*p - p - g = 0. What is the remainder when p is divided by 28?
18
Suppose -45*t = 48*t - 21111. What is the remainder when t is divided by 109?
9
Suppose 345*l - 132 = -4*q + 343*l, 3*q - 3*l = 72. What is the remainder when 225 is divided by q?
15
Let x(f) = 36*f + 475. Calculate the remainder when 155 is divided by x(-11).
76
Suppose 65 - 21 = w - 4*r, -3*w + 3*r + 141 = 0. What is the remainder when 1913 is divided by w?
41
Suppose -3320 = -5*s + 5*a, 4*s - 2662 = -19*a + 22*a. Calculate the remainder when s is divided by 48.
46
Suppose -i = -4*r - 181 - 22, i = -2*r + 221. Suppose 17 = -5*g - 168. Let v = g + 73. Calculate the remainder when i is divided by v.
35
Suppose -3*c = -5*p - 4 + 41, 5*c - 5 = -5*p. Suppose -n = -p*n + 8. Suppose 3*t + n = t, 67 = 3*b + 2*t. Calculate the remainder when b is divided by 8.
7
Suppose -1831 = -14*n - 10315. Let l = -533 - n. Calculate the remainder when l is divided by 37.
36
Let c(z) = 523*z - 1883. Calculate the remainder when c(12) is divided by 1464.
1
Suppose 326*s = 3*y + 324*s - 1757, -5*y + 2*s + 2927 = 0. Calculate the remainder when y is divided by 51.
24
Let b(o) = 4*o**2 + 12*o - 51. Let m be b(-11). Suppose 0 = -37*q + 698 + m. What is the remainder when 37 is divided by q?
10
Let z(c) = -9*c**2 - 173*c + 6. Let g = 263 + -118. Calculate the remainder when g is divided by z(-19).
13
Suppose z + 150 = n + 5*z, -3*n + 434 = -4*z. What is the remainder when 595 is divided by n?
11
Suppose 0 = 5*n - 0*n. Suppose 0 = -3*v - 4*f - 199, -f - 187 = 3*v - n*f. Let g = 78 + v. Calculate the remainder when 63 is divided by g.
12
Let p = 775 + -762. Let l(o) = -4 + 15*o - o + 11. What is the remainder when l(4) is divided by p?
11
Let j(u) = -u + 5. Let f be j(3). Suppose 4*v - 3*i = 80, 10 = 2*i + 2. What is the remainder when f + 12/(-4) - -44 is divided by v?
20
Let q(c) = c**2 - 7*c - 4. Let n be q(8). Suppose 15*d = 19*d - 12. Suppose 0 = r - 4, 109 = d*b + n*r. What is the remainder when b is divided by 12?
7
Let w = -31 + 44. Calculate the remainder when 302/18 + w/((-936)/(-16)) is divided by 23/4 - (-17)/68.
5
Let k be ((-8)/(-16) - (-270)/4) + 3. Suppose -7*j + k = -139. Calculate the remainder when 76 is divided by j.
16
Suppose 3*l = 3, 4*s - 3*l + 6*l = 475. Calculate the remainder when s is divided by 19.
4
Suppose -6*s = 12 - 42. Suppose -3*w - 7 = s, 290 = 5*m - 5*w. Calculate the remainder when 160 is divided by m.
52
Let x = -334 + 340. Suppose -x*d = -286 + 208. What is the remainder when 192 is divided by d?
10
Let g = 914 - 870. Calculate the remainder when g is divided by (-13 + 9)*(-1 - 1).
4
Suppose 1440*v = 1406*v + 7208. What is the remainder when 646 is divided by v?
10
Let w = -578 - -645. Suppose 3*c = 2*c + 600. What is the remainder when c is divided by w?
64
Let t(p) = 55*p**3 - p**2 - 15*p + 16. What is the remainder when 204 is divided by t(1)?
39
Suppose 11*l + 712 = 15*l. Suppose 0 = -5*v + 2*j + l - 8, 3*j = 4*v - 143. Let z = 39 - 33. What is the remainder when v is divided by z?
2
Let j(i) = 0*i + 17*i**3 + 0*i + 1. What is the remainder when j(1) is divided by -3 + (-14)/((-42)/33) + -4?
2
Let g = -9318 - -9365. Calculate the remainder when 1221 is divided by g.
46
Let x(w) = -181 - 58 + 39*w - 12 + 13. What is the remainder when 98 is divided by x(7)?
28
Suppose -12 = -d + 4. Let t = -222 - -252. What is the remainder when t + 6*((-48)/18)/4 is divided by d?
10
Suppose 12785 + 11212 - 3949 = 112*n. What is the remainder when 836 is divided by n?
120
Suppose 0 = -0*a - 2*a + 10. Suppose -a*n - 215 = -865. Let m(b) = 29*b - 111. What is the remainder when n is divided by m(5)?
28
Suppose 2*o = -72 - 8. Let b be (0 + (-1 - 2))/(12/o). Suppose -2*i + b = g - 0, 0 = -3*g. What is the remainder when 7 is divided by i?
2
Suppose -m - 214 + 245 = 0. Let n = -25 + m. Calculate the remainder when 39 is divided by n.
3
Suppose -11*k = -6*k - 25. Suppose k*y = -22 + 137. Suppose -f + 2*t + y = 0, 0*t - 4*t - 8 = 0. Calculate the remainder when 112 is divided by f.
17
Let o = -121 - -151. Calculate the remainder when (-405 - 3)*(-10)/o is divided by 47.
42
Suppose -r + 11 = -2*x + 3*x, 85 = 5*x - r. Suppose 7*w - 238 = 6*w. Calculate the remainder when w/8 + (-4)/(-16) is divided by x.
14
What is the remainder when (-2)/4 - (8 + 104/(-16)) - -175 is divided by 11?
8
Let d(k) = k**3 + 95*k**2 - 201*k - 489. Calculate the remainder when d(-97) is divided by 24.
22
Suppose 0 = -2*p + 12 + 28. Calculate the remainder when 134 is divided by (-188*(-1)/p)/(1/5).
40
Let y = 107 - -25. Suppose -4*i + 94 + 83 = -5*d, 3*i = 3*d + y. Calculate the remainder when 257 is divided by i.
42
Let y(p) = p**2 + 22*p + 68. Let m be y(-27). Let w = m - 6. What is the remainder when w is divided by 20?
17
Let k be (24/(-9))/(-4)*66. Suppose 0 = -g - 0*g + k. Calculate the remainder when 1/(3/(-18))*(-5)/((-210)/(-602)) is divided by g.
42
Let k = 239 + -201. Suppose -3*u + 453 = 3*j, 2*j - 3*u - 244 = k. Calculate the remainder when j is divided by 31.
23
Suppose h - 553 = 259. Suppose 0 = 7*b - 238 - h. Calculate the remainder when b is divided by 22.
18
Let t(r) = -61*r + 1000. Calculate the remainder when 480 is divided by t(14).
42
Let l(p) = -63*p - 2. Let n be l(1). Let s = n + 79. Let g(i) = i**2 + 2*i + 41. Calculate the remainder when g(0) is divided by s.
13
Let l(b) = 5*b**2 - 7*b - 23. Let q(v) = -4*v**2 + 7*v + 23. Let y(n) = 5*l(n) + 6*q(n). What is the remainder when y(-7) is divided by (-30)/(-50) - 42/(-5)?
5
Suppose -72*n + 69*n - 402 = -4*c, -2*c = 5*n - 240. What is the remainder when 352 is divided by c?
37
Let n(l) = l**3 + 28*l**2 - 5*l + 55. Calculate the remainder when n(-28) is divided by (-11)/2*(-342)/19.
96
Suppose 2616 = -10*a - 1274. Let n = a + 417. What is the remainder when 383 is divided by n?
19
Let o(f) = -3*f**3 + 12*f**2 + 51*f + 26. Calculate the remainder when o(-5) is divided by 11.
6
Let t = -1110 - -1171. What is the remainder when 112 is divided by t?
51
Let i(r) = r**3 + 6*r**2 - 72*r - 361. What is the remainder when 3035 is divided by i(-9)?
43
Suppose -d + 27 = 2*d. Suppose -5*y - 152 = 4*l - 3*y, -2*y = -3*l - 121. Calculate the remainder when d is divided by (-6)/l + 264/143.
1
Let y(q) be the third derivative of -13*q**4/6 - 41*q**3/3 + 29*q**2 - 3. What is the remainder when y(-6) is divided by 59?
53
Suppose t + 338 - 573 = 0. Let d = 277 - t. Let y = 26 + -15. What is the remainder when d is divided by y?
9
Let c(a) = -a**3 - 6*a**2 + 6*a + 9. Let y = 3282 + -3142. Calculate the remainder when y is divided by c(-7).
12
Let z = 6226 - 6147. What is the remainder when z is divided by 23?
10
Let p(b) = 5*b - 79. Let o(u) = -5*u - 8. Calculate the remainder when p(29) is divided by o(-4).
6
Let i = -115 - -119. Suppose j + 3*w - 48 = 0, -2*w = i*j - 0*j - 212. What is the remainder when 215 is divided by j?
53
Let z = 10543 + -9504. What is the remainder when z is divided by 344?
7
Let f = 6 - -7. What is the remainder when 27 - 88*(-20)/160 is divided by f?
12
Let x = -303 + 410. Let y = 3 - 1. What is the remainder when x is divided by y/(-3) - (-113)/3?
33
Suppose 4*g + 6 = 26. Suppose -r + 8 = -g*d, -2*d = r - 0*d + 6. What is the remainder when 3380/36 + r/(-18) is divided by 24?
22
Let c(d) = 19*d**2 + 14*d + 23. Let k(t) = t**2 - 13*t - 16. Let p be k(14). Calculate the remainder when c(p) is divided by 15.
11
Suppose -37*w + 5*m + 625 = -32*w, 377 = 3*w - 4*m. What is the remainder when 4673 is divided by w?
122
What is the remainder when (2/(-6))/(607/(-606) + 1) is divided by -15 - (10 - (40 - -15))?
22
Suppose 18 = 6*i - 0*i. Suppose -i*a - 5*a = -128. Calculate the remainder when 63 is divided by a.
15
Let s(v) = v + 6. Let m be 580/52 - 4/26. Let q be s(m). Suppose -w = h - 6, 0 = -5*w - 4*h - q + 43. What is the remainder when 3 is divided by w?
1
Let l = 4 + -1. Let b be 2592/20 - (-2)/(-5)*-1. Let m = b - l. Calculate the remainder when m is divided by 26.
23
Let u = 474 + -626. Let g = 155 + u. What is the remainder when 8 