731*(-15)/225 - ((-9)/15 + 0) is divided by 20/(-6)*2*-3.
16
Let l = 7644 + -6426. What is the remainder when l is divided by 401?
15
Let x be (-4)/14 - (-14)/49. Suppose -6*n - 9 + 21 = x. Suppose 259 = 2*o + c, 2*c + 277 = n*o - 3*c. Calculate the remainder when o is divided by 22.
21
Suppose -263*f + 2242717 - 377341 = 25*f. What is the remainder when f is divided by 216?
213
Suppose 63*q - 22933 = 14*q + 6124. What is the remainder when q is divided by 193?
14
Let d = -29851 - -29890. What is the remainder when 452 is divided by d?
23
Let o(r) = 6*r**2 - 12 - r**3 - 25*r + 7*r + r + 21*r. Let l be ((-2)/(-4))/((-3)/(-30)). Calculate the remainder when o(l) is divided by 12.
9
Let c(f) = 92*f**2 + 55*f + 1. What is the remainder when 411 is divided by c(-1)?
31
What is the remainder when (-3 - (847/(-44) + -6))/(1/8) is divided by 47?
37
Suppose -2*c - 3*h - 96 = -3*c, 4*h + 4 = 0. Suppose 2*d + 35 = 5*u, -4*d - 4*u + 8*u - 88 = 0. Let x = -13 - d. Calculate the remainder when c is divided by x.
9
Suppose 5*n - 21 = -1. Let k(v) = 2*v**3 - 2*v**2 - 13*v + 3. What is the remainder when k(n) is divided by 31?
16
Let x(k) be the third derivative of k**5/15 + k**4/6 + k**3/3 - 2*k**2. Let v = -7024 + 7062. What is the remainder when v is divided by x(-2)?
8
Suppose -4*c = -0*c - 2*d + 60, -4*d + 16 = 0. What is the remainder when c/(65/(-10)) - -45 is divided by 12?
11
What is the remainder when ((-2)/(-8))/((3/2238)/(11 + -7)) is divided by 84?
74
Let v = -50 - -113. Let k(u) = -5*u - 11. Let s be k(-10). Let a = s - 16. Calculate the remainder when v is divided by a.
17
Let y = -27 + 32. Let h(j) = y*j - j**2 + 3 + 0*j + 6*j - 23. What is the remainder when h(6) is divided by 7?
3
Suppose -189 - 199 = -5*a - v, 0 = -a - 5*v + 92. Let f = 991 + -962. Calculate the remainder when a is divided by f.
19
Let d(z) = -4*z**2 - 323*z + 518. What is the remainder when 3991 is divided by d(-82)?
103
Let i = -132 - -117. What is the remainder when -6*(380/i + 2) is divided by 11?
8
Suppose 6 = 3*h - x, -4*h + 3*x + 1 = -7. Suppose 3*i + 33 = h*m, -5*i - 27 = -2. Let s = m + 28. Calculate the remainder when s is divided by 20.
17
Suppose 14*x + 123 = 417. Suppose 0 = u + 2*k - 243, 3*u - 759 = -17*k + x*k. What is the remainder when u is divided by 14?
11
Suppose 271 = 7*z + 40. Calculate the remainder when 9932 is divided by z.
32
Suppose -5*p = -v + 384, 3*p + 375 = v + p. Suppose o = 5*u + 137, 3*o = -u + 2*u + v. Let x(l) = -5*l - 99. What is the remainder when o is divided by x(-26)?
29
Let z = 1383 + -1373. Calculate the remainder when 558 is divided by z.
8
Suppose -286 = 5*u + 5*p - 4*p, 5*u = 3*p - 302. Let o = u + 58. Suppose o = w - 4 - 4. Calculate the remainder when 29 is divided by w.
5
Suppose -22*x + 20*x + 1518 = j, 0 = -5*x - 5. What is the remainder when j is divided by 109?
103
Let q be (2 + 4)*8*9/432. Let y(z) = 87*z - 30. Calculate the remainder when 275 is divided by y(q).
47
Let d(c) be the second derivative of c**3 + 5*c**2 + 2*c**2 - 13*c**2 + 21*c + 3*c**2. Calculate the remainder when d(10) is divided by 14.
12
Suppose -72 = -4*c - 9*t + 4*t, -t = 2*c - 36. Calculate the remainder when 665 is divided by c.
17
Let g(d) = 18*d - 23. Let u(x) = 12*x - 12. Let v(o) = 3*g(o) - 5*u(o). Let z be 1*(-2 + (-2 - -1)). Calculate the remainder when 42 is divided by v(z).
6
Calculate the remainder when 23535/120 - (-3)/(-24) is divided by 101.
95
Let y = 224 + -219. Suppose r + 4*k - 80 - y = 0, -2*r + 120 = -2*k. What is the remainder when r is divided by 24?
17
Let p(b) = -6*b**3 + b. Let a(x) = 2*x**2 - 37*x - 37. Calculate the remainder when p(-1) is divided by a(-1).
1
Suppose z = f + 56, -f - 19 = -2*z + 39. Let m = f + 120. Suppose 5*u - 68 = 3*u + b, 4*b = 3*u - 97. What is the remainder when m is divided by u?
31
Suppose -31*a - 62*a + 26622 = 8301. What is the remainder when a is divided by 16?
5
Let g = -1 + 11. Let k = -191 - -193. Suppose -4*d = -2*u - 146, 2*d = -k*u + 14 + 62. What is the remainder when d is divided by g?
7
Let z be (-38)/(-6) + (-7)/21. What is the remainder when (20/z - 2) + 1408/6 is divided by 48?
44
Suppose -170*x = -153*x - 833. Calculate the remainder when 198 is divided by x.
2
Suppose -h = -2*n + 7*n - 384, 0 = -3*h + 12. Suppose n = 5*s + 4*j, j = 3*s - s - 33. Calculate the remainder when s is divided by 13.
3
Suppose 3*a = 2*c + 45, -6*a + a + 50 = 5*c. Suppose -b = 5, -o - b + 95 + 242 = 0. Suppose -o + 34 = -4*y. What is the remainder when y is divided by a?
12
Suppose 0 = 25*p - 3209 + 184. Calculate the remainder when p is divided by 23.
6
Let m(r) = 221*r**2 + 23*r - 57. What is the remainder when m(3) is divided by 496?
17
Suppose 37*j - 556 = 3141 - 441. What is the remainder when 289 is divided by j?
25
Suppose -13197 = -71*d + 30681. Calculate the remainder when d is divided by 62.
60
Let t(w) = 5*w**2 + 15*w + 2. Let j be t(-2). Calculate the remainder when 197*(-7 - j) + 9 is divided by 85.
36
Let j = -5856 - -5973. What is the remainder when 4327 is divided by j?
115
Suppose 3*g - 830 + 275 = 0. Suppose g*z - 62 = 183*z. Calculate the remainder when z is divided by (-4)/6 - 53/(-3).
14
Suppose -3*r = 5*m - 920, -4*r + 382 = -32*m + 34*m. What is the remainder when m is divided by 168?
13
Let w(r) = -124*r + 1 - 3 - 1 - 1. Let n be w(-5). What is the remainder when n/21 - (-1)/(-3) is divided by 10?
9
Suppose 142*w - 16517 = 17553 + 1288. Calculate the remainder when 602 is divided by w.
104
Let j(c) = -c**2 - 161*c + 1049. What is the remainder when j(6) is divided by 30?
17
Suppose 8*m - 7*m = 6. Suppose -570 = 4*n + m*n. Let v = n + 272. Calculate the remainder when v is divided by 36.
35
Suppose 0 = -4*x + j - 0*j + 24, -4*j = 16. Suppose -i + 1 = 0, -41*c + 14 = -39*c + 4*i. Calculate the remainder when c is divided by x.
0
Calculate the remainder when 10/15 + (-1982)/(-6) is divided by ((4 - 10)/12)/(2/(-268)).
63
Suppose -727*r + 658*r = -1035. What is the remainder when 357 is divided by r?
12
Suppose -2*n + 400 = i, 2*i + 3*n + 372 = 1176. Calculate the remainder when (47/94)/(((-9)/i)/(-3)) is divided by 39.
29
Let n = 18085 - 17532. Calculate the remainder when 598 is divided by n.
45
Let a = 239 - 233. Let z(i) = i**3 - 8*i**2 + 15*i + 2. Calculate the remainder when 138 is divided by z(a).
18
Let l(w) = 11*w**3 - 7*w**2 + w + 3. Let o be l(-3). What is the remainder when o/(-108)*432/10 is divided by 49?
46
Let o(s) = 11*s - 154. Let d be o(16). Suppose -d*z + 8*z = -238. What is the remainder when 63 is divided by z?
12
Let t = 5559 + -5503. Calculate the remainder when 544 is divided by t.
40
Suppose -538*q - 463 = -539*q + 2*v, 2*q - 956 = -v. What is the remainder when 497 is divided by q?
22
Suppose k - 101 = -4*v, -2*k - 2*k - 5*v + 437 = 0. Suppose 0 = -3*t - 4*z + 56, 0 = t - 4*t + 3*z + 63. What is the remainder when k is divided by t?
13
Let p(g) = 3*g**2 + 4*g - 10. Let s be p(5). Suppose s - 751 = -9*a. Calculate the remainder when a is divided by 13.
9
What is the remainder when 65 is divided by (1/(-4))/(12 + 539/(-44))?
0
Let f(w) = w**2 + 6*w + 6. Suppose 3*c + 6 + 3 = 0. Let u(q) = q**3 + 8*q**2 + 5*q + 7. Calculate the remainder when u(c) is divided by f(-7).
11
Let j be 4288/18 - (12 + (-530)/45). Let h = 277 - j. What is the remainder when 153 is divided by h?
36
Calculate the remainder when 375/35 + -11 + 152*66/28 is divided by 63.
43
Suppose -4*j + 238 = 4*l - 1782, 2*l - 1018 = 2*j. Let w = 575 - l. What is the remainder when 151 is divided by w?
15
Let t(r) = 20*r**3 + 7*r**2 - 16*r + 7. Calculate the remainder when 1847 is divided by t(1).
11
Suppose 5*f - 72 = f. Let u(j) = j**3 - 90*j**2 - 1699*j + 367. Calculate the remainder when u(106) is divided by f.
13
Let p = -291 + 310. Suppose -3*x - 5*b = -48, -3*b - 13 = -2*x + p. What is the remainder when x is divided by 10?
6
Suppose 3*z + 14 = -4. Let i(s) = -s**3 - 6*s**2 + 3*s + 34. What is the remainder when 173 is divided by i(z)?
13
Let b(j) = -j**2 - 32*j + 1. Let w(n) = 5*n**2 + 35*n + 5. Calculate the remainder when b(-25) is divided by w(-8).
41
Let k = 197 + -136. Let a be -1 + (-2 - (0 - 90)). Let m = a - k. What is the remainder when 126 is divided by m?
22
Let n(x) = x**3 + 26*x