se -12*o = -i*o + 2*w + 696, 3*w - 566 = -4*o. Calculate the remainder when o is divided by 6.
2
Suppose 4*s - d - 860 = 0, -5*s - 5*d = -554 - 571. Calculate the remainder when 222 is divided by s.
5
Suppose 0 = -63*m - 7672 + 77917. Calculate the remainder when m is divided by 40.
35
Let y(c) = -9*c + 45. Let j be y(11). What is the remainder when 129 is divided by -18 + 13 - j/3?
12
Suppose -o - 24 = -3*o. Calculate the remainder when (-84)/(-4)*(-63)/(-147) is divided by 54/o - 2/(-4).
4
Suppose 2*k - 2*w = 810, -20*w - 1219 = -3*k - 18*w. Let u = k - 350. What is the remainder when u is divided by 12?
11
Let b = -127 - -130. Let o be 13*b - (-30 - -30). Suppose 48 = -38*m + o*m. Calculate the remainder when 95 is divided by m.
47
Let j = 5873 - 5813. What is the remainder when 528 is divided by j?
48
Suppose -y - 1830 = -4*w, 3*w + 5*y - 904 = w. Let r = -370 + w. Calculate the remainder when r is divided by 16.
7
Let a = -3472 + 3613. Calculate the remainder when 991 is divided by a.
4
Let w(n) = -82*n + 1177. Calculate the remainder when 183 is divided by w(13).
72
Suppose -526*s = -498*s - 65688. Calculate the remainder when s is divided by 24.
18
Let g = -33916 + 33921. Let a(f) be the second derivative of -f**3/6 + 13*f**2/2 + 2*f. What is the remainder when a(0) is divided by g?
3
Suppose 18*q - 735 = 13*q. Let l = q + -136. Calculate the remainder when 32 is divided by l.
10
Let w(j) = 18*j + 130. Let z(q) = -5*q**3 - q**2 + 5*q - 5. Let g be z(1). Calculate the remainder when w(g) is divided by 7.
1
Let z(h) = -4179*h + 29277. Let n = -20 - -40. What is the remainder when z(7) is divided by n?
4
Suppose -25*o - 10213 + 11338 = 0. Calculate the remainder when 3012 is divided by o.
42
Let u = -103 - -210. Suppose -a + 147 = 4*o - 2*a, -3*o + u = -4*a. Let j = -38161 + 38305. Calculate the remainder when j is divided by o.
33
Suppose 5*r + t - 722 = 0, 7*t - 11*t + 8 = 0. Calculate the remainder when 2447 is divided by r.
143
What is the remainder when 3/7 - 1 - (-857935)/455 is divided by 37?
35
Let j = -98 - -97. What is the remainder when 471 is divided by ((-57)/2 + j)/((-20)/40)?
58
Let o = -18536 + 18567. What is the remainder when 73964 is divided by o?
29
Suppose 28 = 5*k - k. Let m(y) = 11*y - 2. Suppose -67 + 88 = 3*t. What is the remainder when m(k) is divided by t?
5
Let d = -1592 + 2598. Calculate the remainder when d is divided by 77.
5
Suppose 12*c + 12 + 300 = 0. Let g(v) = -v**3 - 27*v**2 - 26*v + 38. What is the remainder when 70 is divided by g(c)?
32
Suppose 4*l + 5 + 3 = -2*c, -5 = 2*c + 3*l. Suppose 37*x - c = 36*x. Suppose -a = -x*p, -4*a + 2*a + 3*p = -1. Calculate the remainder when 11 is divided by a.
1
Let k = 16 + -1. Suppose 0 = 2*s - 24 + 18. Suppose -2*u + 445 = 5*o, 2*o + s*u = -0*u + 178. Calculate the remainder when o is divided by k.
14
Let w(r) = -r**3 + 64*r**2 - 63*r + 122. Calculate the remainder when w(63) is divided by 9.
5
Let i(l) = l**2 - 14*l - 47. Let p = 10 + -6. Suppose 0 = -a + p*a - 51. What is the remainder when 13 is divided by i(a)?
1
Let x(d) = -d**3 + 7*d**2 - 4. Let r be x(7). Let j = 0 - r. Let k = -6 - -7. What is the remainder when j is divided by k?
0
Let y = -219 + 1028. Calculate the remainder when y is divided by 21.
11
Suppose 31*r - 1933 - 1968 - 2299 = 0. What is the remainder when 910 is divided by r?
110
Let l be -1 + -1 + (19 - (-6)/(-2)). Suppose y - 5*o - 2 = -0*y, 2*y = 5*o + l. Suppose 714 - 222 = y*v. Calculate the remainder when v is divided by 21.
20
Let q = -28 - -33. Suppose -q*d + 211 = -4*p - 21, d + 2*p - 38 = 0. Suppose a - 4*z - 27 = 0, a - 18 = 2*z + 7. What is the remainder when d is divided by a?
21
Suppose -2*z = 4*i - 0*z + 1512, -z = i + 380. Let d = i - -435. Calculate the remainder when 174 is divided by d.
56
Let m(r) = 6*r**2 - 209*r + 114. Calculate the remainder when m(37) is divided by 23.
20
Let v = 80 + -75. Suppose 69 + 7 = -o - v*k, -4*o + k - 304 = 0. Let s = -67 - o. Calculate the remainder when 22 is divided by s.
4
Let a(j) = -j**2 + 2*j + 15. Let v be 1/2*-4 - -3. Let f be 0/(3 + -3 + v). What is the remainder when a(f) is divided by 8?
7
Suppose 5*h - 16*v + 15*v - 693 = 0, -4*v - 687 = -5*h. Let u(j) = -j**3 + 5*j**2 + 2*j - 3. What is the remainder when h is divided by u(3)?
13
Let x(g) = 4*g - 10. Let t(u) = -1142*u - 9079. What is the remainder when t(-8) is divided by x(8)?
13
Let z(b) = 7*b**2 - b - 1. Let i be z(-2). Suppose 10 = -f + i. Let t(h) = h**2 - h - 37. What is the remainder when f is divided by t(7)?
4
Let m = -907 - -911. Calculate the remainder when (-1)/(((-3)/(-151))/(-3)) is divided by -31 + 67 + m/2.
37
Let x = 8088 + -8023. Calculate the remainder when x is divided by 17.
14
Let d = 6793 + -6529. Calculate the remainder when 543 is divided by d.
15
Suppose 21*s = 25*s - 76. Let u = s + -14. Suppose -27 = -u*i + 4*i. Calculate the remainder when i is divided by 11.
5
Let u be 2388/2*(-2)/(-6). Suppose -28*r = -u - 302. What is the remainder when 115 is divided by r?
15
Let m be (-6)/(-10) - 137/(-5). Calculate the remainder when 183 is divided by m + -23 + 2 + 10.
13
Suppose -27*o = -130*o - 45*o + 225848. Calculate the remainder when o is divided by 16.
6
Let y be ((-384)/40 + 10)/((-2)/(-80)). Suppose 4*u + 3*n = 7*n + 52, -2*u + y = 3*n. What is the remainder when 338 is divided by u?
8
Let w(a) = 3*a**2 + 11*a - 14. Suppose 18 = 8*x - 11*x. Calculate the remainder when -1 - 330/(-2 + -1) is divided by w(x).
25
Let s(o) = -o**2 - 18*o + 4. Let a be s(-18). Suppose -26 = -k + a. What is the remainder when (36/k)/(6/(-80)*-1) is divided by 9?
7
Suppose 4*i - 28 = -4*y, 5*i - 5*y + 3*y - 49 = 0. Let u = 11 - i. Suppose u*h - 38 + 12 = 0. Calculate the remainder when h is divided by 4.
1
Let l = -430 - -480. Let f = 66 - -32. What is the remainder when f is divided by l?
48
Let l be ((-156)/(-30))/(-3*(-6)/45). Let t = 20 - l. Suppose -t*z - 46 = -235. Calculate the remainder when 79 is divided by z.
25
Calculate the remainder when 4453 + 2 + -5 + 0 + 13 is divided by 194.
1
Calculate the remainder when 678 is divided by ((-8)/(-16))/(1/12) - (-166 + 2).
168
Suppose -5*f + 0*b = -b + 299, -5*f + 2*b - 303 = 0. Let i = 132 + f. Calculate the remainder when i is divided by 25.
23
Suppose 152*p + 12189 = 203*p. Calculate the remainder when p is divided by 43.
24
Suppose -4*b - 12 = w, 0 = w + 3*b + 4 + 4. Suppose 8 = f - w. Suppose -198 = -18*d + f*d. Calculate the remainder when 130 is divided by d.
31
Let d = 1749 + -1593. Calculate the remainder when 933 is divided by d.
153
Suppose -4*o - 20*i + 40 = -24*i, 3*o + 2 = -5*i. What is the remainder when 17 is divided by o?
5
Suppose 3*n = 15, -n + 11 = 17*s - 15*s. Suppose -3*g - 7*l + 9*l + 9 = 0, -4*l - s = -3*g. What is the remainder when 5 is divided by g?
0
Let p(q) = q**2 - 7. Let g = -200 + 207. What is the remainder when p(g) is divided by 0/(-1) + (-2 - -17)?
12
Let a(f) = -10*f**2 + 17*f + 67. Let r(h) = -17*h**2 + 34*h + 134. Let b(n) = -5*a(n) + 3*r(n). Calculate the remainder when b(15) is divided by 11.
9
Let d(j) = -15*j - 65. Let u be d(-10). Let a = 187 + -67. Let x = a - u. Calculate the remainder when 68 is divided by x.
33
Let m(x) = x**3 + 25*x**2 - 46*x - 387. Suppose -3*n + 18 = p, -3*p + 2*n + 43 = -0*n. Calculate the remainder when m(-26) is divided by p.
13
Suppose 0*b + 8*b = -600. Let s = -38 - b. What is the remainder when s is divided by 10?
7
Let m(x) = -4*x. Let p be m(-10). Suppose 3*u - 56 = p. Suppose 0 = -b - 4*r + 99, -68*b = -67*b - 5*r - 90. Calculate the remainder when b is divided by u.
31
Let p(b) = -55*b - 1. Let d be 1/(-9) + 16/(-18). Let i be p(d). Suppose 38*s - 39*s + i = 0. What is the remainder when s is divided by 11?
10
Suppose 0 = 3*v - 2*z + 16, -6 = -3*z. Let h(k) = 2*k**2 + 6*k - 2. What is the remainder when h(-6) is divided by v/34 + (10816/(-136))/(-13)?
4
Suppose -3*z + g = 5*g + 89, 6 = -3*g. Let f = 53 + z. Suppose 34 = 3*l - 0*l - 4*u, u = 2*l - f. Calculate the remainder when 39 is divided by l.
11
Calculate the remainder when 2163 is divided by (-640)/(-80) + (16/2 - -1).
4
Let f be (-4 + -3 + 7 + -4)*-1. Suppose 18*n = 17*n + f. Suppose n*x = 5*x + 4*d, 25 = 5*x - 5*d. Calculate the remaind