s + 25*s = -3, 5*a - 5*s = 440. Calculate the remainder when 369 is divided by a.
5
Let h be 3/1 - (-6 - -2). Suppose 2*f - 3 = f, 4*a - 3*f = 195. Calculate the remainder when a is divided by (-14)/49 - (-191)/h.
24
Let r = -26 - -26. Suppose r = -4*z + 16, -2*u - 3*z + 112 = -0*u. Let m = 93 - 80. Calculate the remainder when u is divided by m.
11
Let a = 265 + -299. Let b = 15 - a. Calculate the remainder when b is divided by 29.
20
Suppose 7 = -17*l - 10. What is the remainder when (l*42)/(-18 - -16) is divided by 13?
8
Let i = 870 + -1312. Let u = i + 709. Calculate the remainder when u is divided by 68.
63
Let v(k) = -7*k**2 + 8*k + 15. Let i(s) = s**2 - s - 2. Let l(g) = -4*i(g) - v(g). What is the remainder when l(-7) is divided by 34?
32
Let f(y) = 2*y + 69. Let v be f(7). Let k = v - 15. Suppose -94 - 5 = -5*c + 4*d, 4*c - 72 = 5*d. Calculate the remainder when k is divided by c.
22
Let m(b) = -b**3 - b**2 + b. Let v(o) = -6*o**2 - o + 2. Let f(x) = 2*m(x) - v(x). What is the remainder when 61 is divided by f(-2)?
13
Suppose 5 + 43 = 3*c. Suppose -3*m + 277 = n, -19*m + 18*m + 88 = -4*n. What is the remainder when m is divided by c?
12
Let f = -140 - -142. Suppose -51 = -f*z - z. Calculate the remainder when 101 is divided by z.
16
Suppose 0*l + 2*l + 214 = -4*c, 5*l = 4*c + 235. What is the remainder when 40/(-6)*792/c is divided by 47/2 + 15/10?
21
What is the remainder when (9/(-48))/(144/(-1447008)) + (-1)/8 is divided by 46?
44
Let u(y) = y**3 + 8*y**2 + 2*y + 31. What is the remainder when u(-7) is divided by 24?
18
Calculate the remainder when 2290 is divided by 31/((-279)/234)*4/(-13).
2
Let u = 259 - 200. Let t = 88 - u. Calculate the remainder when t is divided by 22.
7
Let g = 5675 - 5433. Calculate the remainder when 255 is divided by g.
13
Let k(s) = -3*s**2 + 17*s - 8. Let g = -12 - -9. Let i = 8 + g. What is the remainder when 5 is divided by k(i)?
1
Suppose 0 = 150*t - 997 + 97. Calculate the remainder when t is divided by (-13 + 1)*(-17)/51.
2
Suppose 0 = -3*s + 15, 6*h + s = 2*h + 193. Suppose 0 = -52*d - 305 + 825. What is the remainder when h is divided by d?
7
Suppose 44*x + 3*c + 100 = 45*x, -4*c - 94 = -x. What is the remainder when 437 is divided by x?
83
Suppose -l + 135 = -3*b, 0 = -4*l + 4*b + 145 + 435. Calculate the remainder when 2544 is divided by l.
144
Let i(y) = 0*y**2 + 0*y**2 + 6 - 1 - 6*y + 2*y**2. Let o be i(-5). Suppose q - g - 11 = 3*g, 3*q + g = o. Calculate the remainder when q is divided by 14.
13
Let h = -1 + 4. Suppose -2*l + 33 - 48 = -x, -3*l = -2*x + 27. Suppose 11*f - 34 = x*f. Calculate the remainder when f is divided by h.
2
Calculate the remainder when 734 is divided by 4/18 - ((-33)/(-55) - 15385/225).
54
Suppose 9*i - 1451 = 709. Suppose 21*y - 16*y = i. Calculate the remainder when 141 is divided by y.
45
Suppose -22*i - 3*w + 18 = -18*i, 0 = 3*i - 4*w - 1. Suppose -10 = -x - 3*t - 0*t, -6 = i*t. What is the remainder when 73 is divided by x?
9
Let r(i) = i**2 + 5*i - 296. What is the remainder when 1306 is divided by r(-20)?
2
Let q(g) = 6*g + 49. Let b = 18 - 16. Suppose b*c - 17 - 3 = 0. What is the remainder when c is divided by q(-7)?
3
Suppose -y = -5*t + 2*y + 21, -4 = -2*t - y. Suppose 10 = 2*w - w + 4*d, 0 = t*w + 5*d - 2. Calculate the remainder when 55 is divided by (-1)/(-18)*14*w*-3.
13
Suppose -435 = -5*x + 315. Suppose 16*o = o + x. Calculate the remainder when o is divided by 3.
1
Let g(r) = -r**3 + 17*r**2 + 22*r - 17. Let h be g(15). Let z = h - 753. What is the remainder when 55 is divided by z?
5
Suppose -63*j - 122*j = -92870. Calculate the remainder when j is divided by 12.
10
Let g be (-3)/(((-30)/8)/(-5)). Let r(c) = -20*c + 5. Suppose 5*y - 10*y + 125 = 3*z, 2*y + z = 49. Calculate the remainder when r(g) is divided by y.
19
Let x(g) = -g**3 + 27*g**2 + 18*g - 17. Let v be x(22). What is the remainder when (-24)/(-64) + v/24 is divided by 31?
24
Let v(p) = -p**2 + 27*p + 18. Let l be v(15). What is the remainder when l + (7 - (-42)/(-3)) is divided by 32?
31
Suppose 3*k + x = 12, 4*k - 6*x + x = 35. Suppose 215 - 52 = -4*d - k*n, 5*d + 2*n + 208 = 0. Let t = d + 73. What is the remainder when 91 is divided by t?
29
Let r(v) be the second derivative of v**5/20 + 11*v**4/12 + 2*v**3/3 + 67*v**2/2 - v - 12. What is the remainder when 37 is divided by r(-11)?
14
Let o(a) = -13*a**2 - 428*a + 3643. Let r be (-2)/(-8) + 261/12. Let c = -4 + r. What is the remainder when c is divided by o(7)?
8
Suppose -10*z + 748 + 3617 = -25. Suppose -6*p = -40 - 620. What is the remainder when z is divided by p?
109
Let v = -68686 + 68745. Suppose 0*d + 48 = d. What is the remainder when v is divided by d?
11
Let p(w) = w**3 + 10*w**2 - 65*w - 91. What is the remainder when 186 is divided by p(-14)?
11
Let n(r) = -r**2 + r + 1054. Let a = 318 - 11. Calculate the remainder when a is divided by n(-31).
59
Let m = -80 + 83. Suppose 2*g + m*g = -4*a + 8, -a - 15 = -3*g. What is the remainder when 2/(-8) - 164/(-16) is divided by g?
2
Let q be -5 + 3 - (-1 + 1). Let j(t) = -t**3 - t**2 - t - 2. Let l be j(q). Let k = 3 + l. What is the remainder when k is divided by 2?
1
Let u(x) = 8*x - 12*x**2 + 3 + 9*x - 3*x**3 + 2*x**3 - 2*x. Let o be u(-14). Suppose 71 - o = -n. Calculate the remainder when n is divided by 30.
24
Suppose 0 = 2*m + 3*t - 195, 5*m + 4*t = 2*t + 482. Let c be m/20 - 8/10. Suppose -n = -1, 2*z - c*n = n + 71. What is the remainder when 75 is divided by z?
37
Suppose -6 = -11*v + 27. Suppose -v*g + 5*z + 1 = 0, -5*z + 11 = 3*g - 0*z. Calculate the remainder when g is divided by 2.
0
Let n = 1216 + -1092. What is the remainder when 624 is divided by n?
4
Let c(i) = 19 + i**3 - 37*i**2 - i + 42*i**2 - 24. Calculate the remainder when 23 is divided by c(-4).
8
Suppose 4*n + 173 = -5*c + 512, 2*c - n = 120. Suppose 0*h = 5*a - h + 169, 2*h - 66 = 2*a. Let v = 57 + a. What is the remainder when c is divided by v?
17
Let o(z) = z - 92. Let v(u) = 31. Let g(y) = -4*o(y) - 11*v(y). What is the remainder when g(-8) is divided by (-1106)/(-91) - 2/13?
11
Suppose -23*y - 32*y = -2475. Calculate the remainder when 647 is divided by y.
17
Suppose 5*b = 5*a - 90, 4*b + 7 = 2*a - 21. Suppose 56 = 8*y - 4*y. Calculate the remainder when a is divided by y.
8
Let c = -4218 + 5834. Calculate the remainder when c is divided by 81.
77
Let o(y) = 64*y**2 - 215*y - 8. Calculate the remainder when 456 is divided by o(4).
144
Let g(n) = -15*n**2 - 3*n - 3. Let v(k) = k**2 + 8*k - 12. Let t be v(-9). Let y be g(t). Let z = -120 - y. What is the remainder when 25 is divided by z?
7
Suppose 17*n = 63*n - 31188. What is the remainder when n is divided by 9?
3
Let g(j) = 36*j - 1882. What is the remainder when g(67) is divided by 128?
18
Suppose -44*h + 122*h = 54*h + 3768. Calculate the remainder when 1078 is divided by h.
136
Suppose -42*x + 14 = -35*x. Suppose 5*a + 3*v - 103 = 0, -3*a - x*v + 57 = v. Calculate the remainder when 114 is divided by a.
22
Let b = -8705 - -8760. What is the remainder when 23/((-3)/(-3 + -90)) is divided by b?
53
Suppose -35*y - 21 = -42*y. Suppose -8*j = -4*f - y*j + 129, -2*f + 32 = 4*j. What is the remainder when 40 is divided by f?
14
Let h = 305 + -283. What is the remainder when 171 is divided by h?
17
Calculate the remainder when (-2912)/(-52)*(-228)/(-28) is divided by 145.
21
Suppose -11*q = -15*q + 5*j + 5778, -5*q + 4*j = -7227. What is the remainder when q is divided by 85?
2
Suppose -225*t + 244046 = 120*t + 5306. What is the remainder when t is divided by 676?
16
Suppose f - 4*v + 761 = 0, 3*f = -2*v - 606 - 1663. Let k = 782 + f. Calculate the remainder when 272 is divided by k.
22
Let b be (4/(-6))/((-16)/12)*0. Let x be -2*-1*(1 + b)*1. Let k(v) = v**2 + 2*v - 6. Calculate the remainder when 10 is divided by k(x).
0
Suppose 2*k = 5*u - 8, 0*k - 4*k = u - 6. Calculate the remainder when 29 is divided by (k - (-9)/(-6))*(-396)/22.
2
Let w(i) = 27*i + 162. Let g be w(-6). Suppose g = 5*b + 3*k - 2*k - 260, 250 = 5*b + 3*k. What is the remainder when b is divided by 17?
2
Let i be -5 - (-36)/4 - (2 + 2). Suppose -2*r + 3*s + 139 = i, -3*s + 50 = -3*r + 263. What is the remainder when 157 is divided by r?
9
Suppose -4863*m + 4858*m = j - 16514,