t d = 21 - 21. Let t(v) = 2*v**2 + 3*v - 4. Let k be t(-6). Suppose d = 5*x - 0*x - k. Calculate the remainder when x is divided by 6.
4
Suppose 0 = -2*u - 0*u + 3*m + 95, 0 = -3*u + 4*m + 140. What is the remainder when 74 is divided by u?
34
Suppose 31 + 45 = 2*j. Suppose 3*t + 0 = 6. Suppose 4*y - o = -2*o + 448, -3*o - 210 = -t*y. What is the remainder when y is divided by j?
35
Let w = 65 - -79. Let s = -84 + w. Calculate the remainder when s is divided by 31.
29
Suppose -3*o = -10 + 4. Suppose 3*s - 20 = f - 6*f, 28 = 2*s - 4*f. Calculate the remainder when s is divided by o.
0
Let g = 815 - 489. Calculate the remainder when g is divided by 30.
26
Suppose 0 = -3*m - 2*m - 2*c + 51, -3*c - 6 = 0. Let l = 18 - m. Suppose -5*g + 9 + 91 = 0. What is the remainder when g is divided by l?
6
Suppose -8*g + 66 = -5*g. Suppose 5*s - 4*o - 178 = 0, -4*o - 66 - 36 = -3*s. Calculate the remainder when s is divided by g.
16
Suppose -25 = -f + j, -2*f - 5*j = -26 + 4. Suppose 0 = p + 6*p + f. What is the remainder when 3 is divided by (p/(-3))/(9/18)?
1
Let g(d) = d**3 + 36*d**2 - 37*d + 2. Let h be g(-37). Suppose -8 = h*z - 36. Let l(r) = 4*r**2 + 4. Calculate the remainder when l(-3) is divided by z.
12
Let c = -30 - -33. Suppose 0 = 5*s - o + 2*o - 347, c*o - 131 = -2*s. Calculate the remainder when s is divided by 18.
16
Suppose -5*p = 3*r - p - 59, 0 = -5*r - 2*p + 75. Suppose -t + c = 2*t + 7, 2*t = -c - r. What is the remainder when (94 - 2)/(t/(-2)) is divided by 12?
10
Let c = 273 + -261. What is the remainder when 309 is divided by c?
9
Calculate the remainder when (8 - (-61 + 11)) + (-2)/(-1) is divided by 19.
3
Let h(f) = -3*f + 12. Let a be h(7). What is the remainder when (-57*(-6)/a)/(-1) is divided by 21?
17
Suppose 0 = -3*d + 3*k + 69, 7 + 97 = 4*d - k. Calculate the remainder when (-3822)/(-36) - 1/6 is divided by d.
25
Let n(y) = -31*y - 12. What is the remainder when 41 is divided by n(-1)?
3
Let v(k) = k**2 - 9*k + 8. Let g be v(7). Let y(t) = -2*t - 2*t - 4*t - 8 + 4*t. Calculate the remainder when 61 is divided by y(g).
13
Suppose -i + m + 382 + 233 = 0, -3*i - 4*m = -1866. Calculate the remainder when i is divided by 10.
8
Let g = -31 - -54. Let f = 23 - 20. Suppose f*q - 281 = 4*c, 0 = q - c - 56 - 37. What is the remainder when q is divided by g?
22
Let t be 58/(-87) + 14/3. Suppose 2*u = 3*g - 99, 0*g - 3*u = t*g - 115. What is the remainder when 123 is divided by g?
30
Suppose 14*b - 2057 = -3*b. Calculate the remainder when 3386 is divided by b.
119
Let u(l) = 4*l + 33. What is the remainder when 60 is divided by u(-6)?
6
Let x = -33 + 37. What is the remainder when 5 is divided by x?
1
Suppose 150 = -5*f - 5*y, 0 = f + 2*f + 2*y + 93. Let x = 18 + f. What is the remainder when x/(-1) - (1 + 1) is divided by 5?
3
Suppose 169 + 171 = 5*x. Suppose q - 3*q - u + 72 = 0, -2*q + x = 2*u. Let y = 46 - q. What is the remainder when 14 is divided by y?
6
Suppose -4*h + 5*t - 21 = -195, 0 = -4*h - 4*t + 156. Let g = h - 4. Suppose 3*v = -0*v + 30. Calculate the remainder when g is divided by v.
7
Calculate the remainder when (-3)/((-6)/58*1/2) is divided by 13.
6
Suppose 0 = -s, 7*a - 3*a - 32 = -4*s. Suppose f - 4 = -4*k + 4, 5*k - 59 = -3*f. What is the remainder when f is divided by a?
4
Suppose 62*k - 49 = 55*k. What is the remainder when 27 is divided by k?
6
Suppose 15*k = 5*k + 720. What is the remainder when 57 is divided by ((-10)/(-15))/(4/k)?
9
Suppose 0 = 4*n - 5*c - 15 - 6, -5*n + 17 = 3*c. Suppose n*y - 5 = 3*m, 5*m - 4 - 7 = -3*y. What is the remainder when 7 is divided by m?
0
Let r be (8/(-6))/(1*-4)*9. Calculate the remainder when (-1 + 34)*4/6 is divided by (11 - 1) + 1*r.
9
Let d = 25 - -13. Let t = d + -12. Suppose -b = 10 - t. What is the remainder when 46 is divided by b?
14
Suppose -5*w + 9 + 46 = 0. Calculate the remainder when 373 is divided by w.
10
Suppose 748 = -27*s + 38*s. What is the remainder when 1560 is divided by s?
64
Let k(o) = 25*o**2 + 45*o - 46. Let p = 15 - 8. Calculate the remainder when k(1) is divided by p.
3
Suppose 36 = 3*u - 7*u. Let q = u - -11. What is the remainder when 47 is divided by -12*(0 - (q + -1))?
11
Let i = -430 - -480. What is the remainder when 92 is divided by i?
42
Let h(a) = a**3 + 7*a**2 - 13*a - 1. What is the remainder when 232 is divided by h(-8)?
37
Suppose -4*l - 52 = -6*l - 4*g, -3*g - 182 = -5*l. What is the remainder when 304 is divided by l?
32
Let i(o) = o**2 + 37*o + 224. Calculate the remainder when 1404 is divided by i(-6).
36
Let p be (7/4)/((-2)/(-8)). Suppose -15 = 3*m, -k + 2*m = m - p. Suppose 2*n + z - 40 = -z, -19 = -k*n + 5*z. What is the remainder when 67 is divided by n?
16
Suppose -8*k + 12 = -4*k. Let c(x) = -x + 7. Let a be c(k). Suppose a*j - 18 - 6 = 0. Calculate the remainder when j is divided by 5.
1
Let v(l) = -l. Let y(q) be the third derivative of -q**4/24 - 8*q**2. Let w(r) = 4*v(r) - 9*y(r). What is the remainder when w(3) is divided by 7?
1
Let p(x) = x**2 + 12*x + 9. Let f be -14 + (-2 - 2)*(-3)/6. Calculate the remainder when 15 is divided by p(f).
6
Suppose 2*t + 2*t - 28 = -5*i, 3*i - 8 = 2*t. Suppose -2*u + 2*d - 141 = d, -4*d - 136 = t*u. Let j = u + 100. Calculate the remainder when 118 is divided by j.
28
Let w = 1145 + -1135. Suppose -3*r = 3*d - 21, -2 - 17 = -4*r - d. Calculate the remainder when w is divided by r.
2
Let t(n) = 3*n - 5. Let y be -10*(-3)/(-15)*-4. Calculate the remainder when t(y) is divided by 5 - 0/3 - -2.
5
Let d(y) = -13 - 13*y + 6 + 4 + 42*y. What is the remainder when d(1) is divided by 14?
12
Let s = 775 - 764. Suppose 1 = -5*j + 16. What is the remainder when s is divided by j?
2
Let v = -4 - -6. Suppose 3*t = -3*d + 15, -2*t + 2*d - v = -4. What is the remainder when 3 is divided by t?
0
Let s(n) = 7*n - 12. Let l = -25 - -30. Calculate the remainder when 91 is divided by s(l).
22
Suppose 67*u + 752 = 75*u. Let g(x) = 4 + 3*x - x**3 + x**2 + 0 - 3*x**2. What is the remainder when u is divided by g(-4)?
22
Let d(v) = 6*v + 3. Let y(c) = -3*c - 2. Let j(n) = 2*d(n) + 5*y(n). Let x be j(-2). Suppose h + x*h - 33 = 0. What is the remainder when 53 is divided by h?
9
Let k(s) = 2*s - 4. Let a be k(-2). Let h be 7/(-2)*(a - -6). Suppose 172 = h*l - 3*l. What is the remainder when l is divided by 12?
7
Let v(k) = k**2 - 9*k - 2. Let o be v(8). Let s = o - -29. Calculate the remainder when 55 is divided by s.
17
Suppose -4*t + 176 = -0*t + 3*q, -2*q - 156 = -4*t. Suppose -20*f - 480 = -24*f. Calculate the remainder when f is divided by t.
38
Let x(i) = i**2 - i - 6. Calculate the remainder when ((-380)/14 - -2)/(4/(-14)) is divided by x(6).
16
Suppose -26*p + 24*p = 26. What is the remainder when 29 is divided by (-15)/((1 - 0)*(12 + p))?
14
Let y(x) = -x**2 - 17*x + 13. What is the remainder when 128 is divided by y(-17)?
11
Suppose -352 = -3*r - 277. Suppose -2*g = -3*z - 141, -340 = -5*g - 0*g - 5*z. What is the remainder when g is divided by r?
19
Let o = -10 + 13. Suppose 2*p + 3*p + 37 = t, 5 = t + o*p. Calculate the remainder when 82 is divided by t.
14
Suppose -115 = -2*n - n + 2*o, 4*o = 5*n - 195. Suppose 0 = -0*b - 5*b + 3035. Suppose 4*w + 59 = b. Calculate the remainder when w is divided by n.
32
Calculate the remainder when (113/3)/(21/63) is divided by 30.
23
Suppose 11*u = 330 - 22. Calculate the remainder when 6/(-4)*(-424)/6 is divided by u.
22
Suppose -3*u + 101 = 5*m, m + 107 = 2*u + 31. Calculate the remainder when 99 is divided by u.
25
Let i(p) = p**2 + 10*p - 28. Let a be i(-12). Calculate the remainder when ((-34)/a)/((-13)/(-52)) is divided by 9.
7
What is the remainder when ((845/(-10))/(-13))/((-1)/(-10)) is divided by 17?
14
Let o(j) = -2*j + 86. Let f be o(-33). Suppose 232 = -3*z - 77. Let w = z + f. What is the remainder when w is divided by 10?
9
Let i(j) = 21*j**2 + 7*j - 27. What is the remainder when i(5) is divided by 8?
5
Calculate the remainder when 189 is divided by 54/162 - (-112)/6.
18
Suppose 2*d = 8 - 4. Suppose 3*r = -2*b - 2, -3*b - 22 = -15*r + 10*r. Suppose d*m - 56 = -r*m. Calculate the remainder when 26 is divided by m.
12
Suppose 4*l - 6*v = 534, 5*l + 4*v - 418 = 192. Suppose -w - 129 = -4*w. What is the remainder when l is divided by w?
40
What