*y - 545 = -2*w, 2*w + 100*y - 98*y = 524. Calculate the remainder when w is divided by 131.
3
Let c be 2/((-24)/(-3)) - 25/4. Let x be 500/(-8) - (15/c + 2). Let v = x + 72. Calculate the remainder when v is divided by 6.
4
Suppose 15*v + 280 = 8*v. Calculate the remainder when 5/v + (-651)/(-24) is divided by 10.
7
Let s = 46 - 45. Calculate the remainder when 253 is divided by 6/(-27)*(13 - s)*-6.
13
Suppose 3*f = l - 0*l + 9, 5*l - f = 25. Suppose -13 = -2*x + d, 5*d - 8*d + l = 3*x. What is the remainder when 99 is divided by x?
4
Let n(r) be the first derivative of -r**4/4 - 2*r**3/3 + 7*r**2/2 - 7*r + 126. Let h be 4/(-14) - 132/28. What is the remainder when 63 is divided by n(h)?
30
Suppose -15*m = -17*m + 520 - 448. Suppose -642 = -7*j + 4*j. What is the remainder when j is divided by m?
34
Calculate the remainder when 2732 is divided by (42156/216 - (-1)/(-6))*7.
2
Let a(z) = z**3 - 11*z**2 + 33*z + 10. Suppose o + 5*t - 3 = 2*o, -o = -t - 9. What is the remainder when a(7) is divided by o?
9
Let h = 1030 + -583. Let n = h - 389. Calculate the remainder when n is divided by 10.
8
Suppose -c + 97 = 4*d, 4*c - 382 = 3*d - 13. Suppose -15*u - 3 + c = 0. Let h(o) = -o**3 - o**2 - 2*o + 3. What is the remainder when u is divided by h(0)?
0
Calculate the remainder when 96 is divided by ((-2670)/356)/(1/(-8)).
36
Let r = 223 - 21. Calculate the remainder when r is divided by 2/5 + 57456/1710.
32
Let f(p) be the third derivative of -p**4/24 + 16*p**3/3 - 49*p**2. Calculate the remainder when 31 is divided by f(20).
7
Let s = 6021 + -5576. What is the remainder when s is divided by 164?
117
Let k = 13599 + -13489. Suppose -2*s + 7*s = -2*j + 76, -5*s = 0. What is the remainder when k is divided by j?
34
Suppose 0 = 2*d - 9*w + 13*w - 140, -170 = -2*d + w. What is the remainder when 283 is divided by d?
37
Let d(l) = 5*l - 57. Let k be d(12). What is the remainder when (68 - 4)*1 - (0 - k) is divided by 34?
33
Suppose -7*u = -2*u - 13145. Suppose -9*q + u = -20*q. Let t = q + 399. Calculate the remainder when t is divided by 54.
52
Suppose -2*k - 4*j = 32 - 66, -2*j + 77 = 5*k. Calculate the remainder when 10211 is divided by k.
11
Let k = -10 + 598. Suppose -r = -4*o - 5*r + k, r + 300 = 2*o. Calculate the remainder when o is divided by 29 - (-3 - (2 + -4)).
29
Suppose -2*g - 2400 = 24*g - 101*g. Calculate the remainder when 600 is divided by g.
24
Suppose -3*n + 3*u = -221 - 73, n - 98 = 4*u. Calculate the remainder when n is divided by 1/((-2)/(-102) + 0).
47
Let f be (3/(-9))/(2/(-12)). Suppose -f*l + 22 = -40. Let c = -424723 + 424815. What is the remainder when c is divided by l?
30
Suppose -3*i - 3*g = -84, -9*i + 84 = -6*i - 5*g. Let s(m) = m**2 - 4*m - 142. Calculate the remainder when s(-14) is divided by i.
26
Let u(i) = 2*i + 1. Let x(g) = 5*g + 69. Let z(k) = -3*u(k) + x(k). Calculate the remainder when z(-17) is divided by 22.
17
Suppose 129*w - g = 128*w + 18, 7*w + g - 94 = 0. Let p(f) = -111*f. What is the remainder when p(-2) is divided by w?
12
Let j = 2 + 0. Suppose -3*u = -j*u - 4, 4*u - 17 = k. Let o(q) = -8*q**3 - 2*q**2 - 2*q + 1. What is the remainder when 35 is divided by o(k)?
8
Let f(y) = 2*y**2 + 67*y + 46. Suppose -22*x + 25*x = 147. What is the remainder when x is divided by f(-33)?
10
Let h(y) = y**2 + 39*y - 54. Let r be h(-45). Let v = -173 + r. Let k = 23 + -11. What is the remainder when v is divided by k?
7
Suppose -157 = -2*f + 48 + 33. Calculate the remainder when ((-5902)/(-78))/(1/3) is divided by f.
108
Suppose 28 = 34*n - 27*n. Suppose -q + 57 = x - 59, 0 = -q - n*x + 122. What is the remainder when q is divided by 58?
56
Suppose 3 = -3*d - 2*a, -62*a + 63*a = 0. Let h(u) = 36*u**2 + u - 1. What is the remainder when 475 is divided by h(d)?
33
Let l = 136 - -644. What is the remainder when l is divided by 157?
152
Suppose 5*r - 37 + 22 = 0. What is the remainder when (r + 2 + -36)*-2 is divided by 21?
20
Suppose -13*h + 12*h + 1 = 0. Let w(t) = 14*t - 6. Let c be w(h). Suppose -c = -11*l + 7*l. What is the remainder when l is divided by 1?
0
Let a(r) = -2*r**2 - 16*r - 4. Let q be a(-7). Calculate the remainder when 1/(-2) - -179*q/20 is divided by 13.
11
Let v = -1389 + 1412. Let f = 513 + -470. What is the remainder when f is divided by v?
20
Suppose -10*s + 243 = -s. Let g = s + -25. Let k(d) = d + 8. What is the remainder when 26 is divided by k(g)?
6
Suppose -22*k - 114452 = -42*k + 74868. Calculate the remainder when k is divided by 36.
34
Suppose -5*b + 8 = v, 2 = -v - 3*b + 8. Suppose 0 = v*m + 5*h - 8, -5*h + 3 - 1 = 2*m. What is the remainder when 46 is divided by m?
4
Let w(k) = -14*k - 878. What is the remainder when 517 is divided by w(-68)?
73
Suppose 7*j - 28 - 21 = 0. Suppose -i - 25 = -6*i. Suppose t - 3*g - i = 1, 0 = 4*g - 8. Calculate the remainder when t is divided by j.
5
Let c(r) = r**3 - 2*r - 1. Let i be c(3). Let d = i - 14. Let l = 86077 + -86060. Calculate the remainder when l is divided by d.
5
Let b(i) = -16*i - 4. Let x be b(-7). Let y = x - 67. What is the remainder when 204 is divided by y?
40
Suppose -l + 17 = 3*f + 11, 0 = 5*f - 10. Suppose -q + 13 + 9 = l. What is the remainder when q is divided by 3?
1
Suppose 3*v + 6*b - 33 = 0, -77*b = v - 78*b - 2. Let j(n) = 47*n + 2. Calculate the remainder when j(1) is divided by v.
4
Let k = -19637 + 19683. Calculate the remainder when 565 is divided by k.
13
Suppose 0 = -40*p + 35*p + 85. Let b be (-261)/(-6)*(-4)/3. Let z = -32 - b. Calculate the remainder when z is divided by p.
9
Let c = -4625 - -5431. Calculate the remainder when c is divided by 31.
0
Suppose u - 12*u = -33. Suppose -4*w + u*f - 5040 = 0, -3*f - 847 - 1673 = 2*w. Calculate the remainder when (-2)/13 + w/(-39)*7 is divided by 19.
17
Suppose -5*u = -2*n + 1648, -4*n - 2*u = -1614 - 1634. Calculate the remainder when n is divided by 92.
78
Let r be (-1 - 1)*((-161)/14 + 7). Let t(w) = w**2 - 11*w + 28. What is the remainder when 25 is divided by t(r)?
5
Suppose z + w = 779, -905 = -2*z - 5*w + 671. What is the remainder when 3097 is divided by z?
5
Let j(v) = v**3 + 4*v**2 - 8*v - 32. Let r be j(-4). Calculate the remainder when 52 is divided by (r/(-2) - 5) + 25.
12
Let h(j) be the third derivative of j**4/4 + 34*j**3/3 - 8*j**2 + j. Calculate the remainder when h(-5) is divided by ((-6)/8)/(3/(-84)).
17
Suppose 5*g + 8 = 4*g. Let i be -3 + 7/(-7) + 7. Calculate the remainder when 18 is divided by (i - g) + 3/9*0.
7
Suppose -225*q + 72805 + 76820 = 0. What is the remainder when q is divided by 101?
59
Let g(u) = -2*u**2 + 31*u - 8. Let i be g(8). Let h(x) = -x - 1. Let l be h(-7). Suppose -l*t + 10*t - i = 0. Calculate the remainder when t is divided by 17.
11
Suppose 6*w - 60*w + 7938 = 0. Suppose 17*a - 18*a - 3*g = -25, 4*g = -5*a + w. What is the remainder when -7*(-1 + -1 - 20) is divided by a?
30
Let w = -76 - -90. Let z(u) = u**3 - 13*u**2 - 5*u - 37. Let h be z(w). Let k = h - 75. What is the remainder when k is divided by 6?
2
Suppose l - 32 = x, 7*l - 8*l - x = -30. What is the remainder when -2 + -2 + 0 + 529 is divided by l?
29
What is the remainder when (132/(-5))/(105/(-2625)) is divided by 37?
31
Suppose 68*n - 175 = -5*g + 63*n, -4*g - 2*n = -144. Calculate the remainder when g is divided by 10.
7
Let h = 33 - -189. Let s = -130 + h. What is the remainder when s is divided by 12?
8
Suppose -5 = 2*a + 5. Let h be (a/(75/(-1270)))/(6/(-9)). Let i = -115 - h. Calculate the remainder when 71 is divided by i.
11
Let m(b) = -1 - 6*b - 4 + 3 - 3. Suppose d - 23 + 16 = 0. What is the remainder when m(-6) is divided by d?
3
Let h(g) = -2*g - 20. Let n be h(-9). Calculate the remainder when (-255)/n - 10/20 is divided by 43.
41
Suppose -2*t + 509 = 3*m, -578 - 99 = -4*m - t. Suppose -5*w = -81 - m. Suppose b - w + 35 = 0. Calculate the remainder when 25 is divided by b.
10
Let z(d) = -283*d - 1685. Calculate the remainder when 1675 is divided by z(-6).
11
Calculate the remainder when 1 - (-1*8 - 1) is divided by 7 - 42/6 - -13 - 9.
2
Suppose -6*n + 182 = 8*n. Suppose 28 = 4*o - w, 4*o + 2*w - 27 = n. What is the remainder when 69 is divided by o?
5
Suppose 4*t = 8, 0 = 3*y + 5*t - 165 - 106. Suppose -5*l - 3 = -383. Let k = l + y. What is the 