 2*u + 2223. Calculate the remainder when y(113) is divided by 47.
5
Let j = -190785 + 190908. Suppose 2*f + 6*t - 12 = 3*t, -f + t + 11 = 0. Calculate the remainder when j is divided by f.
6
Let k(j) = 2*j**2 + 194*j + 68. What is the remainder when k(-98) is divided by 68?
60
Let v be (-3)/(-3 + 0) - 148. Let o = v + 158. What is the remainder when o is divided by 5?
1
Suppose -a = -2*q + 2, -2 - 2 = a. What is the remainder when (q - -1)/(1 + 0) - -60 is divided by 31?
29
Let y = 23 + 15. Let q = y - 20. Suppose z + z - u = 139, 0 = -2*z - u + 141. What is the remainder when z is divided by q?
16
Let o(f) = -f**3 - 5*f**2 - 4*f + 3. Let k be o(-4). Let q be (-80)/240 - (-35)/(-3). What is the remainder when 73 + (q/(-3) - k) is divided by 20?
14
Suppose -2*w = 3 - 25. Suppose 24 = -10*s + w*s. Suppose 4*k + 450 = 6*m - m, -4*m = k - 381. What is the remainder when m is divided by s?
22
Let r(x) = -10*x + 1. Let n(d) = -3*d - 33. Suppose -52 + 10 = 3*g + 3*w, 4*g = -w - 65. Calculate the remainder when r(-6) is divided by n(g).
7
Suppose 75*s - 122 = 253. Suppose -n - 2*n = 0. Suppose -2*i - y + s + 4 = n, -i = -y. What is the remainder when 9 is divided by i?
0
Suppose 144 = -2*s - 2*s. Suppose -95*n + 89*n + 396 = 0. Let m = n + s. Calculate the remainder when m is divided by 8.
6
Let s = -1 + 10. What is the remainder when (1001/273)/(1/12) is divided by 110/s + 4/(-18)?
8
Let x(d) = 18*d**2 + 7*d - 6. Suppose -3*u - 773 = -278. Calculate the remainder when ((-4)/6)/(1/u) is divided by x(1).
15
Suppose -m - 2361 + 2407 = 0. Calculate the remainder when 368 is divided by m.
0
Suppose 6*i = 13*i - 63. Calculate the remainder when 49 is divided by 3*(57/6 - i/18).
22
Let l = 14521 + -14407. Calculate the remainder when 2732 is divided by l.
110
Let o(n) = -n**2 + 8*n + 11. Let f = -68 - -68. Suppose 5*i - 18 - 12 = f. What is the remainder when 85 is divided by o(i)?
16
Let x(a) = -a**3 + a**2 + a + 33. Calculate the remainder when x(0) is divided by 1 - 0 - 7/(-20 - -7 - -12).
1
Let c = -1239 + 1277. What is the remainder when 778 is divided by c?
18
Suppose -5*o + 5*k + 27 = -63, 78 = 4*o - k. Let t = 33 - o. What is the remainder when 64 is divided by t?
12
Suppose 0 = 2*l - 13 - 11. Suppose -3*k = 5*s - 19, -k + 1452 = 5*s + 1449. What is the remainder when l is divided by k?
4
Let u(z) = -z**3 + 13*z**2 - 23*z + 24. Suppose 5*p = 3*f - 1019, 0*f - 5*p = 3*f - 1069. Let k = f + -234. Calculate the remainder when k is divided by u(11).
10
Calculate the remainder when 9 - 2 - 3/((-6)/1112) is divided by 71.
66
Let y be (-142)/((-8)/5 + (-30)/75). Let i = -51 - -3. Let g = y + i. What is the remainder when 43 is divided by g?
20
Calculate the remainder when 404 is divided by (-60)/22*(-3674)/501.
4
Suppose 1254 = 5*o + 3*u, -4*o + 29*u = 24*u - 1018. What is the remainder when 513 is divided by o?
9
Let s(j) = 304*j + 1925. What is the remainder when s(-5) is divided by 59?
51
Let n(p) be the second derivative of 39*p**4/4 - 4*p**3/3 + 69*p. Calculate the remainder when n(-1) is divided by 64.
61
Let s(q) = 5*q**2 + 25*q - 28. Let n be s(-6). Suppose 4*d - 89 = -3*l, -17 = -n*d - 19. What is the remainder when 59 is divided by l?
28
Let r(y) = -2*y**2 + 9*y - 14. Let w be r(4). Let x = -52 + w. Let f = -40 - x. What is the remainder when f is divided by 6?
4
Let b = 459 + -441. Let o = -4 - -6. Suppose o*h = c - 41, 3*c = h + 2*h + 114. What is the remainder when c is divided by b?
17
What is the remainder when 1007 is divided by 61 + (-7 - 6)/1?
47
Let f(h) = 39*h**2 + 7*h + 25. Let j be f(-3). Let g = 367 - j. Calculate the remainder when 285 is divided by g.
9
Let s = -32 - -35. Suppose 5*v - 43 + 184 = -3*b, 177 = -4*b - s*v. Let k = 54 + b. Calculate the remainder when 68 is divided by k.
8
Let g(c) = c - 37. Let t(u) = u - 1. Let l(m) = -g(m) + 4*t(m). Calculate the remainder when l(23) is divided by 58.
44
Let p be (-26784)/(-8)*(10/4 - 2). Suppose 0 = -2*k - 1566 + p. Calculate the remainder when 277 is divided by k.
7
Suppose 12 = 3*q, 5*d - 31 = -5*q - 1. Suppose -d*s = 3*i - s + 71, -5*s - 67 = 3*i. Let w = i - -26. Calculate the remainder when w is divided by 1.
0
Suppose 0 = 216*p - 114*p - 9690. What is the remainder when 1040 is divided by p?
90
Let m = 6750 - 6484. Calculate the remainder when m is divided by 258.
8
Suppose -22*j = 30*j - 39*j - 5915. Calculate the remainder when j is divided by 21.
14
Let j = 5429 - 5411. What is the remainder when 2497 is divided by j?
13
What is the remainder when (-4 - 18)/((-14)/16*(-16)/(-56)) is divided by 52?
36
Let q(c) = 4*c + 101. Let p be (0 - 0)/(-3*(-10)/15). Let n be q(p). Let m = n - 92. Calculate the remainder when 17 is divided by m.
8
Suppose l + 13 = 21. What is the remainder when 206 is divided by l/(-22) + 3870/55?
66
Let q(b) = -b**3 + 2*b**2 + 35*b - 20. Let d be q(-6). Suppose 57*i - d*i + 282 = 0. What is the remainder when i is divided by 41?
36
Suppose -4*m = x + x - 74, -2*m + 8 = 0. Let r = 185 + 4. Let k = r + -75. What is the remainder when k is divided by x?
27
Suppose 12 = -4*a, 6*a - 11*a = -3*g + 270. Suppose -3*q - g = -4*j - 2*q, -4*q + 80 = 4*j. What is the remainder when j is divided by 9?
3
Let f = 49 + -32. Suppose 51*l - 47*l = 168. What is the remainder when l is divided by f?
8
Let i be -39 - -381 - (-1 + -3). Let w = i - 279. What is the remainder when 104 is divided by w?
37
Let z(b) = -b**3 - 15*b**2 - 12*b - 168. Let t be z(-15). Suppose 2*x + y - 466 = 0, 16*y + 446 = 2*x + t*y. Calculate the remainder when x is divided by 41.
26
Let g(l) = -2*l**2 + 48*l - 172. Calculate the remainder when g(14) is divided by 14.
10
Let b be (-7)/2*(-33972)/133. Suppose -39*a + b = -1173. What is the remainder when 740 is divided by a?
51
Suppose -28*z + 434 + 53 = -1753. Calculate the remainder when 396 is divided by z.
76
Let x be 11/((-297)/6) - (-40)/18. Let z(w) = 35*w - 33. Calculate the remainder when z(x) is divided by 19.
18
Let j = -3861 - -3993. Calculate the remainder when 508 is divided by j.
112
Suppose -66*q + 64*q + f = -167, 0 = -2*q + 2*f + 172. What is the remainder when 45 is divided by (-52)/(-9) + (2 - 144/q)?
3
Suppose 131*p - 134*p + 61 = 4*r, -p + 17 = r. Calculate the remainder when (-67)/(-1)*(0 - -1) is divided by p.
4
Let l be (0/1)/(-1) + (-48)/(-1). Suppose 0*c - 2*c + 92 = -4*d, -4*c = -4*d - 100. Let u = l + d. What is the remainder when u is divided by 3?
0
Calculate the remainder when 1/(26874/13436 + 8*3/(-12)) is divided by 160.
158
Let k = 2047 - 1881. Calculate the remainder when k is divided by 70.
26
Let m(g) = 4*g - 21. Let z be m(4). What is the remainder when (-88)/(-14) + (-4)/14 is divided by (95/57)/(z/(-9))?
0
Let k = -997 - -1739. Suppose 3*b + r + 450 = 0, 5*b + r - 2*r + k = 0. Let a = b - -215. What is the remainder when a is divided by 25?
16
Suppose -607 - 170 = -7*f. Suppose -76 - 156 = -8*r. What is the remainder when f is divided by r?
24
Suppose -4*g + 3*g - 3*q = -85, -95 = -g - q. Let t(m) = -3*m**3 - 9*m**2 + 7*m + 6. What is the remainder when g is divided by t(-4)?
22
Let d = -12201 + 12313. Calculate the remainder when 318 is divided by d.
94
Suppose 13*s + 78*s = 134*s - 3354. Calculate the remainder when 83 is divided by s.
5
Suppose -7*z = -9*z + 8. Suppose 30 = -4*i + 42. What is the remainder when z is divided by i?
1
Suppose -3*s = 2*g - 8230, 1223*s - 1221*s + 3*g = 5490. Calculate the remainder when s is divided by 43.
33
Let i(g) = 15*g - 24. Let u be i(3). Calculate the remainder when (81/(-4))/(u/(-224)) is divided by 31.
30
Let a(h) = 9*h**2 + 6*h + 8. Suppose 0 = 4*x - 5*d + 31 + 258, 5*x + 310 = -4*d. Let u = 64 + x. What is the remainder when 158 is divided by a(u)?
30
Calculate the remainder when ((-24)/(-15))/(2/35) is divided by ((8/(-14))/(-1))/(1416/44604).
10
Suppose -2021*k + 1941*k + 5680 = 0. What is the remainder when k is divided by 4*(-1 - (-29)/4)?
21
Calculate the remainder when 3*(-2)/((-12)/694 - 0/(-13)) is divided by 71.
63
Let r(j) = -12*j - 133. Suppose 262*k - 241*k = -420. Calculate the remainder when r(k) is divided by 67.
40
Let g = -18 + 40. Suppose -3*y + 2*y = 3*f - g, f + 4*y = -11. Suppose 3*p - 36 = -f*p. Calculate the remainder when 3 is divided