he remainder when d is divided by 21.
12
Let d = 16 - -18. Suppose 2*q + 4*p + p - 1 = 0, -4*q = 3*p + 5. Let g = q - -14. What is the remainder when d is divided by g?
10
What is the remainder when ((-6)/(30/(-25)) + -7)*-57 is divided by 23?
22
Let k(l) = l**3 - 5*l**2 + 5*l - 1. Let s(m) = -m**2 + m. Let o(x) = k(x) + 6*s(x). Let t = -54 - -87. What is the remainder when t is divided by o(10)?
6
Let u(p) = -p**3 - p**2 + 3*p + 3. Let o(t) = 5*t**2 + t + 4. Let x(b) = b**2 - 19*b - 2. Let z be x(19). What is the remainder when o(z) is divided by u(-3)?
10
Suppose 5*j = m + 130, -24 = -5*j - 4*m + 81. What is the remainder when j is divided by 7?
4
Let j = -274 - -586. Suppose -3*r - j = -5*p, 2*p = -2*p - r + 236. Calculate the remainder when p is divided by 17.
9
Suppose -3*f + 5*y + 11 = 0, 5*f - 8*y - 15 = -3*y. Suppose -2 = -z + 3*n, 2*n + 2*n = -f*z + 14. What is the remainder when 23 is divided by z?
3
Let a(v) = 4*v**2 - 16*v + 31. What is the remainder when a(0) is divided by 12?
7
Suppose -2*v + 5 = 2*r + 1, -4*v = 0. Suppose 0 = r*z - 3*l - 22, -4*z + 2*l = -z - 23. What is the remainder when z is divided by 2?
1
Suppose 6*a + 191 = 227. Suppose p - 20 = 5*b, 22 = 3*p + 5*b - b. Calculate the remainder when p is divided by a.
4
Let x(j) = j - 21. Let q be x(17). Let m(s) = 6*s**2 - s + 1. Let c be m(-2). Let v = c + q. What is the remainder when v is divided by 13?
10
Let a(c) = 3*c**2 + 2*c - 1. Let j be a(-3). Let h = j - -5. Calculate the remainder when (14 - (2 + 11)) + (-96)/(-2) is divided by h.
24
Suppose 3*q = 5 + 13. Let w be 1 - (-1 + q)*1. What is the remainder when 36 is divided by (-574)/(-42) + w/6?
10
Suppose -2*d = -6*d - 12. Let f(n) = -6*n - 9. Calculate the remainder when 22 is divided by f(d).
4
Suppose 63 = 3*m + 3*o, m = 2*m - 3*o - 9. Suppose 15*c = m + 12. What is the remainder when 13 is divided by c?
1
Suppose 7*s - 240 = 4*s. Calculate the remainder when 391 is divided by s.
71
Let m be (6/(-1) + 2)/(-1). Suppose w + 2*w + 4*v - 814 = 0, 3*w - 829 = -v. Suppose m*d + 66 - w = 0. What is the remainder when d is divided by 8?
5
Suppose 5*i = -4*l + 493, 5*l - 3 = 7. Calculate the remainder when i is divided by 29.
10
Let f = 2426 - 1664. What is the remainder when f is divided by 51?
48
Let h = -17 + 12. Let c(r) = 3*r**2 + 48*r + 68*r - 100*r + r**2. What is the remainder when 39 is divided by c(h)?
19
Suppose -5*a - 4*m = -2, 0 = 2*a + m - 4*m - 10. What is the remainder when (-39)/(a/8*-6) + -1 is divided by 11?
3
Let a = -38 + 49. What is the remainder when 38 is divided by a?
5
Calculate the remainder when (156/(-13) - -194) + 0 + 3 is divided by 17.
15
Let h = -195 + 240. Calculate the remainder when h is divided by 12.
9
Let v(h) = h**2 + 4*h + 4. Let r be v(4). Suppose 6*s + r = 9*s. Suppose -2*u - 21 = -5*u. What is the remainder when s is divided by u?
5
Let a(g) = -g**2 + 17*g + 22. Let i be a(18). Suppose 4*l - l = -5*t + 29, i*t - 2*l - 10 = 0. Calculate the remainder when 97 is divided by t.
1
Let z be 0 - (-2)/(-22) - (-231)/(-121). Let j be 1/(0 - -1) + 0. Let b = j - z. What is the remainder when b is divided by 3?
0
Let l(f) = -15*f + 25. Let w(a) = 5*a - 8. Let m(h) = -4*l(h) - 14*w(h). Suppose 4*b = -44 + 156. What is the remainder when m(-7) is divided by b?
26
Suppose 13*x - 25 = 144. Calculate the remainder when 658 is divided by x.
8
Calculate the remainder when 209 is divided by 424/6 + (552/36)/(-23).
69
Let a = 31 - 13. Suppose 5*d - 19 = 2*z, 4*d + 4*z - 4 = -0. Suppose -c - 5*l = -d*l - 61, 0 = 5*c + 2*l - 265. Calculate the remainder when c is divided by a.
15
Suppose -3*b - 3*r - 9 = -24, -r = -3*b + 11. Let d = 49 + b. Let z(l) = -4*l - 21. Calculate the remainder when d is divided by z(-12).
26
Let q = -129 - -175. Suppose -436 = -10*v - q. Calculate the remainder when 154 is divided by v.
37
Suppose 0 = t + 3*t - 20. Let f be 4/((-32)/(-70)) + (-2)/(-8). Calculate the remainder when (f/5)/(1/10) is divided by t.
3
Let l be -2*(-1 + 6/(-1)). Suppose 2*n = -8, 6*b + 4*n + 6 = b. Suppose -l = s - b*s. Calculate the remainder when s is divided by 5.
4
Let u = -15 + 38. Suppose 40 + u = 3*w. Suppose -5*x = -2*j - 21 - 287, -5*x + j = -304. Calculate the remainder when x is divided by w.
18
Calculate the remainder when (-5826)/(-18) - 7 - 4/(-3) is divided by 54.
48
Suppose -4*q + 60 = 4*n, -17 = 3*n - 5*q - 46. Let j(d) = d**3 - 11*d**2 - 25*d - 5. What is the remainder when 15 is divided by j(n)?
7
Suppose -207*z = -209*z + 16. Calculate the remainder when (5/(-1))/((-9)/18) is divided by z.
2
Let z be (6 - 5)/(2/32). Let u be 603/24 + (-2)/z. Suppose u = f + 4*f. What is the remainder when 18 is divided by f?
3
Let y(z) = z**2 + 2*z + 55. Calculate the remainder when 1262 is divided by y(-6).
77
Let q = 14 + -19. Let s = q - -35. Let o = -7 + s. Calculate the remainder when o is divided by 9.
5
Let y(b) = b**2 + 4*b + 146. Calculate the remainder when y(0) is divided by 49.
48
Let z = -115 - -143. What is the remainder when 75 is divided by z?
19
Suppose 2*s + 2 = 12. What is the remainder when (21/9)/((266/42)/19) is divided by s?
2
Suppose -94 + 14 = -5*w. What is the remainder when 157 is divided by w?
13
Let c(o) = 2*o + 24. Calculate the remainder when 129 is divided by c(5).
27
Suppose 19*n + 14*n - 4488 = 0. Calculate the remainder when n is divided by 52.
32
Let u = 73 + -42. Suppose -4*i - u + 83 = 0. What is the remainder when i is divided by 7?
6
Suppose 0 = 3*p - 8*p + 265. Let g be 2*(-1)/(-4)*252/7. Let c = g - -10. Calculate the remainder when p is divided by c.
25
Let b(f) = -f**3 + 6*f**2 - f - 2. Suppose 21 = 4*a + 3*j, -4*a - 5*j + 1 = -10. Suppose -6*n = -a*n + 27. Calculate the remainder when b(4) is divided by n.
8
Let y(r) = 6*r - 15. Let i be y(6). Suppose 6 = 5*x - 49. Let c = i - x. What is the remainder when 25 is divided by c?
5
Let y(c) = 33*c**2 + 18*c - 12. Calculate the remainder when y(-6) is divided by 10.
8
Let j = -133 + 191. Suppose 0 = k - 3*k + 2*z + j, -3*k = z - 87. Calculate the remainder when k is divided by 8.
5
Let r be -2 - (-2 + (-25)/(-5)). What is the remainder when 51 + 1 + 15/r is divided by 13?
10
Let j = -234 - -255. Calculate the remainder when 124 is divided by j.
19
Let m be 98/21 + (-2)/(-6). Let s = 8 - m. What is the remainder when s is divided by 1 + (0 - 2)/(-2)?
1
Suppose -a = -h + 3*h - 60, -3*h - 153 = -3*a. What is the remainder when a is divided by (14 - 6)*(-168)/(-48)?
26
Suppose 0 = -6*f + 90 + 6. What is the remainder when f is divided by 4?
0
Let a(p) = 8*p**2 + 4*p + 2. Suppose 4*y + 18 = -5*y. What is the remainder when a(y) is divided by 7?
5
Let v = -38 + 88. Let r = 58 - v. Suppose -p - 4*c + 35 = 0, 3*p + 2*p - 3*c - 60 = 0. Calculate the remainder when p is divided by r.
7
Let j(n) = n**2 - 3*n + 7. What is the remainder when 202 is divided by j(5)?
15
Suppose -2*m + 87 = 29. Suppose -4*r = -h + m, -2*h + 65 = h - r. Calculate the remainder when 186 is divided by h.
18
Let g = 402 - 300. Calculate the remainder when g is divided by 22.
14
Let l = -12 - -9. Calculate the remainder when ((-10)/l)/((-1)/(-21)) is divided by 36.
34
What is the remainder when 23 is divided by (8/10)/((-16)/(-80))?
3
Suppose -4*s = -2*x + 186, -5*x - s = -3*x - 201. Calculate the remainder when x is divided by 7.
1
Let b(n) = -78*n - 8. Let a be b(4). Let p be (a/(-12))/((-1)/(-3)). Suppose 5*i + 5 = -5, 0 = 4*k + 4*i - p. What is the remainder when 86 is divided by k?
20
Suppose -3*p - 10 = -118. Let i be 2*(p/8)/3. What is the remainder when 23 is divided by (i - 1)/(1/6)?
11
Suppose -512 = -13*g + 5*g. Calculate the remainder when g is divided by (-111)/(-9) + (-2)/(-3).
12
Suppose 5*z + 129 = 5*u + 9*z, 2*u = z + 49. What is the remainder when 196 is divided by u?
21
Let a = -116 - -127. What is the remainder when 197 is divided by a?
10
Suppose -80*c = -87*c + 14. What is the remainder when 3 is divided by c?
1
Suppose 0 = -2*g + 4*f + 2 + 12, 0 = -5*g - 2*f - 1. Let n(s) = s**3 - 5*s**2 - 2*s - 6. What is the remainder when n(6) is divided by g*(-1 + 2)*3?
0
Let o = 32 - 38. Suppose 3*l + 24 + 78 = 0. Let p = o - l. What is the remainder when p is divided by 10?
8
Let q = 0 + 78. Suppose -3*h = -3*g + q - 3, 0 =