Let u = -84 - -91. Calculate the remainder when 49 is divided by u.
0
Suppose 2*x - 6 = -x. What is the remainder when (55/x - 2)*(-22)/(-3) is divided by 38?
35
Let n = 32 + -19. Suppose 0 = -2*x + s + 7, -s = -4*x - 0*x + n. Suppose x*w = -5*k + 26, k + 6 = -0*w + 5*w. Calculate the remainder when 6 is divided by k.
2
Suppose -2*g - 111 = -13. Let o be 23/7 - (-14)/g. Suppose -5*r + 4*t = -94, -o*r + 5*t + 17 = -42. What is the remainder when 51 is divided by r?
15
Suppose -59*f = -61*f + 50. What is the remainder when 140 is divided by f?
15
Suppose -5*h = f - 46, -f - 6 = 2*h - 40. Calculate the remainder when 204 is divided by f.
22
Suppose -6*t = -0*t + t. Suppose 5*a - p - 578 = t, a = -2*p - p + 106. Calculate the remainder when a is divided by 30.
25
Suppose 16*h - 22 - 42 = 0. Calculate the remainder when 1*33*(-3)/(-9) is divided by h.
3
Suppose -60 = -13*f + 57. Calculate the remainder when 14 is divided by f.
5
Suppose -l + 497 = 5*f + 3*l, -3 = -l. Suppose -2*w + 33 = -f. What is the remainder when w is divided by 17?
14
Suppose -q + 28 = 5*t, t + 22 = 6*t + 4*q. What is the remainder when 1*(-2 + 3)*61 is divided by 3/(t/2) - -20?
19
Let i(y) = y**3 + 11*y**2 + 7*y - 3. Calculate the remainder when 76 is divided by i(-10).
22
Suppose -11*j = -503 + 118. Let m = 57 - j. What is the remainder when 87 is divided by m?
21
Let v = 190 - 122. What is the remainder when 339 is divided by v?
67
Suppose -21*u - 2978 + 9971 = 0. Calculate the remainder when u is divided by 67.
65
Let a be (-7)/(-3) + (-3)/9. Suppose 2*u + 3*y - 69 = 0, -a*u = -2*y - 33 - 11. Calculate the remainder when 107 is divided by u.
26
Let c be 20 + 1 + -4 - -3. Suppose -2*b = s + 44 + c, 0 = -3*b + 3. What is the remainder when 15 is divided by 11/s - 37/(-6)?
3
Let s = 1439 - 1437. Calculate the remainder when ((-16)/2 + -1)*-1 is divided by s.
1
Let x(i) = 50*i**2 + 4*i - 7. Let g be x(2). Suppose -6*t + g - 33 = 0. Calculate the remainder when 165 is divided by t.
25
Let m(s) = -s + 3. Let n(v) = v - 9. Let p be n(9). What is the remainder when (-1 - (-42)/18) + 29/3 is divided by m(p)?
2
Suppose -5*j - 3*r + 26 = 3, -4*r = 16. Suppose -z - 6 = z - 4*g, -g = -5. What is the remainder when z is divided by j?
0
Let x be 1/(-3) + (-98)/(-6). Let p = -26 + 20. Let j = p + x. What is the remainder when 37 is divided by j?
7
Let u(l) = l + 16. Let z be u(-4). Calculate the remainder when 19 is divided by (z/10)/((-28)/15 + 2).
1
Suppose 7*r - 424 = -r. Let m(g) be the second derivative of 17*g**4/12 + g**3/6 - 2*g. What is the remainder when r is divided by m(1)?
17
Let z(d) = 2*d**3 + 40*d**2 + 27. Let u(q) = 50*q**3. What is the remainder when u(1) is divided by z(-20)?
23
Let l(y) = -y**2 + 5*y - 4. Let f be l(3). Let h(t) = 2*t - 1. Let g be h(f). Suppose -g*c + 24 = -0*c. Calculate the remainder when 29 is divided by c.
5
Suppose -22*u - 183 = -4*j - 17*u, 3*j + 7*u - 105 = 0. Calculate the remainder when 322 is divided by j.
28
Let v(q) = 6*q - 7. Let a = 33 - 12. What is the remainder when v(8) is divided by a?
20
Let m(w) = w**3 + 11*w**2 + 12*w + 24. Let u be m(-10). Let k(p) = 10*p + 4. What is the remainder when k(u) is divided by 9?
8
Let o = 16 + -8. Let q = 107 + -38. Calculate the remainder when q is divided by o.
5
Let t(n) = 20*n**2 + 13*n - 14. Suppose 0 = 3*o - 7 - 8. What is the remainder when t(1) is divided by o?
4
Suppose 2*h = -s + 9, 3*h = -2*h + 3*s - 5. Suppose 5 = h*v - 1. What is the remainder when (4/(-10))/((-12)/(-390)*-1) is divided by v?
1
Let h(l) = 5*l - 34. What is the remainder when (595/10)/(3/6) is divided by h(9)?
9
Suppose -2*p = -5*p + 240. Let w = 5 - 43. Let v = p + w. What is the remainder when v is divided by 15?
12
Suppose -2 = 2*q - 14. What is the remainder when q is divided by (8/10)/(2/5)?
0
Let g = 1067 + -680. Calculate the remainder when g is divided by 98.
93
Suppose 0 = i - 53 - 4. Suppose 40*d + 30*d = 1400. Calculate the remainder when i is divided by d.
17
Suppose -3*f + 99 = -2*d, 4*d - 120 = -3*f - d. Calculate the remainder when 173 is divided by f.
33
Let c(x) = -14*x**3 + 6*x**2 + 18*x - 4. What is the remainder when c(-3) is divided by 29?
26
Let g(s) = -24*s**3 + s + 1. What is the remainder when (-4)/(-6)*6/4*143 is divided by g(-1)?
23
Let w = 69 - 26. Calculate the remainder when 256 is divided by w.
41
Let x be (-13 - (-3)/(-3))*12/8. Let z = 51 - x. What is the remainder when z is divided by 19?
15
Calculate the remainder when ((-618)/(-27))/(20/90) is divided by 19.
8
Let f = 186 + -122. What is the remainder when 188 is divided by f?
60
Suppose 3*h = -2*l + 13, 2*l + 3*h = -3*l + 28. Let r(y) = -2*y**2 + 11*y + 4. What is the remainder when 35 is divided by r(l)?
8
Let p(q) = q**3 + 8*q**2 + 13*q + 12. Calculate the remainder when 88 is divided by p(-4).
16
Suppose 0 = 5*w - 9*w - 20. Calculate the remainder when (-12)/15 - 89/w is divided by 4.
1
Suppose 83 - 19 = v - 3*h, 4*v - 3*h = 292. Suppose 2*z = 4*d - 156, 4*d + 3*z - 156 = -z. Calculate the remainder when v is divided by d.
37
Let o(i) = i - 3. Let s(x) be the third derivative of x**3/3 - 2*x**2. Let k(m) = -3*o(m) - 5*s(m). What is the remainder when k(-14) is divided by 14?
13
Suppose 22*d - 1780 = 1146. Calculate the remainder when d is divided by 17.
14
Let d(y) = -y**3 + 9*y**2 - 3*y - 1. What is the remainder when 6936/45 - ((-32)/(-30))/8 is divided by d(8)?
37
Let p be (5 - 1)/((-14)/(-77)). Calculate the remainder when (8/(-10))/(p/(-1925)) is divided by 18.
16
Let i(f) = -8*f + 369. What is the remainder when 98 is divided by i(45)?
8
Let w(u) = -1. Let c(m) = 2*m - 56. Let a(n) = -c(n) + 4*w(n). What is the remainder when a(0) is divided by 18?
16
Let n be 4/12*-3 + 6. Suppose 2*r - 21 = -n. What is the remainder when 15 is divided by r?
7
Suppose -4*a - 19 = 2*n - 37, -5*n + 53 = 2*a. Calculate the remainder when 2/(-6) - (-308)/6 is divided by n.
7
Suppose 0 = -5*b - 25, -4*l + 2*b + 10 = -3*l. Let y be 43/(l + -2 - -3). Let s = y + -30. Calculate the remainder when 49 is divided by s.
10
Suppose 3*x - 2*x = 4*j - 55, j - 25 = 4*x. What is the remainder when 62 is divided by j?
10
Suppose 2*w - 5*q = -0*w + 249, 4*w = -5*q + 513. What is the remainder when w is divided by 44?
39
Let s = -7625 + 7630. Let c = -10 - -15. Suppose -c*r - 75 = -5*j, r + 24 = 2*j + 5*r. What is the remainder when j is divided by s?
4
Suppose -97 - 1157 = -38*f. Calculate the remainder when 126 is divided by f.
27
Suppose 21*h + 675 = 2922. Calculate the remainder when h is divided by 27.
26
Let b(q) = q**2 - 2*q - 1. Let p be b(-3). Let z = 26 - p. Suppose n + 3*n - z = 0. Calculate the remainder when n is divided by 3.
0
Let b(t) = -t**2 + 2*t + 16. What is the remainder when 19 is divided by b(5)?
0
Suppose -226*w + 39 = -223*w. Let k(i) = i**3 - 13*i**2 + i - 9. What is the remainder when k(w) is divided by 1?
0
Let i(j) = 8*j - 256. Calculate the remainder when i(39) is divided by 14.
0
Suppose 66 = 3*l - 0*l. What is the remainder when -1 + (68 - (3 + -1)) is divided by l?
21
Let a(l) = -l**2 - 11*l - 20. Let x be a(-8). Suppose x*y = 73 + 15. What is the remainder when 85 is divided by y?
19
Suppose 11 = 3*c - 13. Let w = 22 + c. What is the remainder when w is divided by 8?
6
Suppose -2*i + 3*i = 57. Let t = 38 + 46. Suppose -5*w = -5*z - 90, -z = -4*w - 3*z + t. What is the remainder when i is divided by w?
17
Suppose 9*v - 89 = 73. Calculate the remainder when 19 is divided by v.
1
Suppose -2*b = -4*y + 22, b = 4*y - 10 - 17. What is the remainder when y is divided by 5?
3
Let w = 3 - -15. Suppose 2*j - 7*j + 170 = 0. Suppose -c = -w - j. Calculate the remainder when c is divided by 18.
16
Let c = 2 - 0. Suppose c*i = 10 + 38. Let u = i - 14. What is the remainder when 27 is divided by u?
7
Let x(m) = -4*m**2 + m + 8 + m**2 + 4*m**2 - m**3. Let q be x(0). Let p = q + -4. What is the remainder when 10 is divided by p?
2
Let d = -32 - -36. Suppose 5*i + 15 = -0*i, -118 = -d*n - 2*i. What is the remainder when 120 is divided by n?
27
Let w(i) = 2*i + 36. Let t be w(-5). Suppose 3*y = k - t, -3*k + k + 48 = -5*y. What is the remainder when k is divided by (6 - 5)*1*4?
2
Let p = -37 - -39. Let q(u) = u**3 + 2*u**2 - 2. Let y be q(-3).