vided by 13?
11
Suppose 661*x - 677*x + 1968 = 0. Calculate the remainder when x is divided by 9.
6
Let f = -15 - -20. Suppose -k + 8*u + 17 = 4*u, -k + 19 = -f*u. What is the remainder when 51 is divided by k?
6
Let p = 138 + -65. Let d be (50/(-30))/((-2)/6). Suppose -d*m = -3*x + 184, -3*x - 5*m = -61 - p. What is the remainder when x is divided by 11?
9
Let d(k) = -k**2 + 13*k + 8. Suppose z - 3 = 2*r - 3*r, -3*r - 2*z + 14 = 0. What is the remainder when d(11) is divided by r?
6
Calculate the remainder when 112 is divided by -24 - -40 - (-4)/2.
4
Suppose -11*a + 464 + 207 = 0. What is the remainder when 226 is divided by a?
43
Suppose -4*k + w + 46 = 4*w, 3*w = 6. Suppose 4*m = 2*m + 16. Let g(a) = a**2 - 7*a - 4. What is the remainder when k is divided by g(m)?
2
Suppose 5*x = 3*a + 234, -4*x + 7*x + a - 146 = 0. Suppose -9*z + x = -z. Let q = z - 0. Calculate the remainder when 10 is divided by q.
4
What is the remainder when 58 + -1 + -84 + 84 is divided by 31?
26
Let w(n) = 17*n**2 - 3*n - 10. What is the remainder when w(7) is divided by 7?
4
Let m(d) = d**3 - 9*d**2 - 8*d - 18. What is the remainder when 6 is divided by m(10)?
0
Let c(x) = 2*x**2 - 8*x + 5. Let m(a) = -4*a**2 + 15*a - 9. Let n(r) = -11*c(r) - 6*m(r). Calculate the remainder when 29 is divided by n(-2).
7
Let m be (0 - -1322)/2 + 4. Suppose 1119 = 5*r + 2*h, 4*r - 2*h - m = r. Calculate the remainder when r is divided by 45.
43
Let d(a) = a**3 + 19*a**2 + 20*a - 2. Let z be d(-18). Calculate the remainder when z*((-2)/4)/1 is divided by 9.
1
Suppose 4*u - 4*c = -112, u + 20 = -0*u + 3*c. Let n = -18 - u. Let k = n + -11. What is the remainder when 6 is divided by k?
0
Let s(g) = -g**3 - 4*g**2 + 15*g + 18. Let x be s(-6). Suppose -3*p - 6*p + 216 = x. What is the remainder when p is divided by 7?
3
Suppose -4*i = 24 - 144. Suppose 75 = 5*h - 5. Suppose -l + h = l. What is the remainder when i is divided by l?
6
Suppose 3*i - 34 = 2*k, 4*k = 5*i + k - 55. Suppose 2*s = 4*c - 8, 3*c - 5*c = 2*s - 10. Suppose u - s*u = -5. Calculate the remainder when i is divided by u.
3
Let v = -424 + 1732. What is the remainder when v is divided by 23?
20
Let b = 47 - 60. Calculate the remainder when 44 is divided by ((-2)/(-4))/(b/(-234)).
8
Calculate the remainder when 80 is divided by (27/(-45) + 1)/((-2)/(-210)).
38
Let h = 93 - 26. Let m = -10 + 14. Calculate the remainder when h is divided by m + (16 - (4 - 1)).
16
Let n = 191 - 82. Suppose 4*a = 23 + n. Calculate the remainder when 128 is divided by a.
29
Suppose -b - 487 = -4*p, -p + 2*p - 136 = 5*b. Suppose 65*s = 81*s - 496. What is the remainder when p is divided by s?
28
Suppose 3*k - 9*k + 192 = 0. Suppose -q - k + 38 = 0. Suppose x - 5 = -v, 3*v = -q*x + x + 19. Calculate the remainder when 4 is divided by v.
1
Let y(m) = -m - 2. Let v be y(5). Let i(q) = q**2 + 5*q + 7. Let s = 242 + -181. Calculate the remainder when s is divided by i(v).
19
Suppose 0 = -3*t - 4*m + 101, 2*t = 2*m + 58 + 14. What is the remainder when 145 is divided by t?
5
Let y(o) = -o**2 + 10*o + 12. Let m(s) = 1. Let w(z) = 4*m(z) + y(z). Suppose 9 = -p + 108. Calculate the remainder when p is divided by w(9).
24
Suppose 3*u - 4*g - 30 = -g, 15 = -5*g. Suppose -u = -2*o + 23. Calculate the remainder when 104 is divided by o.
14
What is the remainder when 7 is divided by 2*2 - (10 - (-54)/(-6))?
1
Suppose 0 = 5*f - 32*u + 28*u - 393, 0 = -4*f - 4*u + 336. Calculate the remainder when f is divided by 35.
11
Suppose 2*w + 2*w - 20 = 0. Suppose w*x = -0 + 10. Let h(g) = 9*g**2 + 7*g + 3. What is the remainder when h(-1) is divided by x?
1
Let h(d) = 126*d - 85. Calculate the remainder when h(10) is divided by 38.
35
Let z be ((-90)/(-25))/(2/5). Suppose -z*b + 8*b = -126. Calculate the remainder when 105 is divided by ((-6)/(-7))/(3/b).
33
Calculate the remainder when ((-133)/(-14) + -9)*774 is divided by 5.
2
Let c be (12/14)/((-1)/(-14)). Let v = 41 - 36. Suppose 4*o = x - 4*x + c, 42 = v*o - 3*x. What is the remainder when o is divided by 4?
2
Calculate the remainder when 223 is divided by (-4)/(-38) + (-5454)/(-171).
31
Suppose -345*z = -431*z + 1462. Calculate the remainder when z is divided by -6*((-10)/4)/5.
2
What is the remainder when 106 is divided by (-35 + -2)/(1 + -2)?
32
Calculate the remainder when (5 - 29)*(-230)/40 is divided by 28.
26
Let m(w) = w**3 + 3*w**2 - 3*w - 3. Let o be m(-3). Suppose o*q - 64 = 242. Let x = -21 + q. Calculate the remainder when 58 is divided by x.
28
Suppose -13*q = -4*q - 3006. Calculate the remainder when q is divided by 28.
26
Suppose 3 = -3*n + 18. Suppose -7*b = 13*b. Suppose -n*q + 55 = -b*q. Calculate the remainder when 41 is divided by q.
8
Suppose 74 = 2*c - 4*a, -2*c + 5*a + 72 = -0*c. Let b = 102 - c. What is the remainder when b is divided by 21?
19
Let b(g) = g**2 + 4*g + 4. Suppose 0 = 5*c - 8*c - 12. What is the remainder when 19 is divided by b(c)?
3
Suppose -99*g = -102*g + 6. Let l(r) = 6*r**2 + 3*r - 1. What is the remainder when l(g) is divided by 16?
13
Let m be (-10)/(1/(1/(-2))). Let a(f) = f**3 - 6*f**2 + 7*f - 2. What is the remainder when (2/(10/(-65)))/(-1) is divided by a(m)?
5
Let z(y) = -9*y - 8. Suppose v + 4 = 3*v. Let j be v/(-3) - (-336)/(-36). Calculate the remainder when z(j) is divided by 17.
14
Suppose 19 - 1 = 6*s. Suppose o = 2*r - 5*r + 24, s*o + 4*r - 62 = 0. Calculate the remainder when 33 is divided by o.
15
Calculate the remainder when 193 is divided by (-22)/(-18) + -1 - (-6000)/216.
25
Let i be (0 + 2 - 2)/2. Let n = -4 - -7. Suppose b - n*b + 28 = i. Calculate the remainder when 41 is divided by b.
13
Suppose 128*s = 110*s + 216. What is the remainder when 1991 is divided by s?
11
Let s(y) = y**2 + 17*y + 14. Let c be s(-16). Calculate the remainder when 61 is divided by (29/87)/(c - (-86)/42).
5
Suppose -120 = 2*c - 6*c. Calculate the remainder when 533/6 - (-3)/18 is divided by c.
29
Let o(y) = y**3 - 19*y**2 - 122*y + 58. Let l = 93 + -64. What is the remainder when l is divided by o(24)?
9
Let f be -17*(-2)/(-3 - -5). Let t = f + -10. Suppose -2*u - 2*l + 9 = -23, -5 = -l. Calculate the remainder when u is divided by t.
4
Suppose 9 = -j + 10, 5*j = -3*w + 50. What is the remainder when 415 is divided by w?
10
Suppose -2*i + 4*c = 8, 0 = i + 2*i - c - 13. Let f(x) = 2*x**2 + 10*x + 17. Calculate the remainder when f(-6) is divided by i.
5
Suppose -6*m + 5*p = -5*m - 70, 2*m = -2*p + 80. Let o(i) = i**3 - 6*i**2 + 6*i + 7. Calculate the remainder when m is divided by o(5).
9
Let r = 3 + 0. Suppose 0*c = r*c - 42. Suppose 0 = x + 2*x - 72. Calculate the remainder when x is divided by c.
10
Let g = 439 + -379. What is the remainder when g is divided by 12?
0
Suppose 68 = p - 3*z, -2*z = -4*p - 7*z + 221. Let x = -9 + p. Suppose 3*q - x - 35 = 4*h, -104 = -4*q + 3*h. What is the remainder when q is divided by 13?
10
Let h(m) = m**3 - 2*m**2 - 5*m + 3. Let z be h(3). Suppose -r + 4*f = -30, r - 44 = -r + 4*f. What is the remainder when (-213)/(-4) + z/12 is divided by r?
11
Suppose 1092 = 42*t - 462. What is the remainder when t is divided by 80/4*(-1)/(-2)?
7
Let t(b) = b**2 - 6*b. Suppose 8*g = 10*g - 54. Calculate the remainder when g is divided by t(7).
6
Let m = 126 + -119. Calculate the remainder when (-8)/(-6)*(-5 + 35) is divided by m.
5
Suppose 1577*a = 1594*a - 3587. Calculate the remainder when a is divided by 46.
27
Suppose 7*z + 50 = 6*z. Let a = 111 + z. Let d(b) = -b**2 - 16*b + 16. Calculate the remainder when a is divided by d(-15).
30
Suppose 128*n = 34*n + 21996. What is the remainder when n is divided by 68?
30
Let t = 361 + -358. Let h = 4 - 1. Calculate the remainder when h is divided by t.
0
Let t be (51/9 + -6)/(1/12). What is the remainder when (262/t)/((6 + -1)/(-10)) is divided by 34?
29
Let p(h) = -111*h - 164. Calculate the remainder when p(-14) is divided by 24.
22
Let f be (32/(-7) + 2)*-21. Let u = f - 36. Suppose -4*i + 5 + 23 = 0. Calculate the remainder when u is divided by i.
4
Let o(k) = -7*k**2 + 20*k - 8. Let h(b) = -15*b**2 + 40*b - 17. Let x(t) = 4*h(t) - 9*o(t). Calculate the remainder when x(8) is divided by 15.
6
Let v = -5227 + 5238. Suppose -5*a = -5*g - 175, g + 65 = 2*a - 0*g. What is the remainder when a is d