be z(x). What is the remainder when 16 is divided by o/4 + 100/16?
4
Suppose 1 = -3*q - 11. Let c(a) = -a - 1. Let l(m) = -5*m - 6. Let p(j) = 11*c(j) - 2*l(j). What is the remainder when 9 is divided by p(q)?
4
Suppose 4*b - x = 1 + 103, -5*x = -2*b + 52. Suppose 4 = q - 0*q. Suppose 5*l - 55 = -2*c, 4*c - 62 = -q*l - 6. What is the remainder when b is divided by l?
8
Suppose 0 = 4*o - 109 + 41. What is the remainder when 101 is divided by o?
16
What is the remainder when 31 is divided by -17*(4 - (6 - 1))?
14
Let l be (-233)/(-4) + 3/(-12). Let m = -39 + l. Let d = -25 + 81. Calculate the remainder when d is divided by m.
18
Calculate the remainder when ((-4)/18*-3)/((-40)/(-2700)) is divided by 17.
11
Suppose 0 = 5*j - 8*j + 72. Suppose -8*z = -6*z - j. What is the remainder when 47 is divided by z?
11
Suppose -g = 3*g - 268. Calculate the remainder when g is divided by (-69)/12*(-10 - -6).
21
Suppose -2*z + 16 = -56. Suppose 0 = -5*n + 2*n + z. Calculate the remainder when 35 is divided by n.
11
Let c be (-368)/(-60) + 2/(-15). Suppose m = c*w - 2*w - 32, 3*w - 4*m = 37. Calculate the remainder when 27 is divided by w.
6
Let n(s) = -s**3 - 15*s**2 - 15*s + 17. Let x be n(-14). Let d = -13 + x. What is the remainder when 52 is divided by d?
16
Let p = 35 - 4. Let f = -16 + 27. What is the remainder when p is divided by f?
9
Let l be ((-8)/10)/((-2)/20). Let g = l - 5. Suppose 4*x - 37 = -p + 14, g*p = -4*x + 57. What is the remainder when 34 is divided by x?
10
Let n(u) = 3*u - 4. Let j be n(-4). Let v = -4 - j. What is the remainder when (170/35)/(2/14) is divided by v?
10
Let n = 15 - 7. Suppose 5 = 2*p - 19. Suppose b = 3 + p. Calculate the remainder when b is divided by n.
7
Let a = 142 - 94. What is the remainder when 191 is divided by a?
47
Let l(j) = 10*j - 4. Calculate the remainder when l(1) is divided by 4.
2
Let x(t) = 2*t**2 - 5*t + 2. What is the remainder when x(5) is divided by 10?
7
Suppose -53 + 17 = -3*k. Suppose 13*l - k*l = 1. What is the remainder when l is divided by 1?
0
Suppose 3*z + 5 - 17 = 0, -k + 2*z = 3. What is the remainder when 23 is divided by k?
3
Let n = 84 + -45. What is the remainder when 77 is divided by n?
38
Calculate the remainder when 93 is divided by (-6)/(9/3) + (25 - -1).
21
What is the remainder when (68/2)/((-3)/(-9)) is divided by 26?
24
Let z(g) = 4*g - 6. Let d(m) = -2*m + 3. Let f(o) = 5*d(o) + 3*z(o). Let n be f(9). Let i = 3 + n. What is the remainder when 35 is divided by i?
17
Suppose 3*i + 4*y = 4 + 19, 0 = -i + 2*y + 1. Suppose -21 = -3*z + i*g, 0*z = -2*z + 5*g + 19. Calculate the remainder when (3/(-2))/((-1)/2) is divided by z.
1
What is the remainder when (5 + -6)/((-3)/93) is divided by 17?
14
Suppose -3*z + 61 = i, -2*z + 5*i = -0*z - 35. What is the remainder when 38 is divided by z?
18
Suppose -14 = -5*g + 46. What is the remainder when g is divided by 8?
4
Let s(w) = -2*w - 7. Let v(f) = -6*f - 21. Let p(d) = 7*s(d) - 2*v(d). Calculate the remainder when 14 is divided by p(-6).
4
Suppose 2*h - 42 = -0*h. Calculate the remainder when 104 is divided by h.
20
Suppose 4*f - 8*j = -13*j + 113, 4*j = -12. Calculate the remainder when 157 is divided by f.
29
Let l = -5 + 7. Suppose -x + 25 = -l. What is the remainder when (-1 + -2)*1 - -82 is divided by x?
25
Let i(k) be the second derivative of k**5/20 - 5*k**4/12 - k**3/2 + k**2/2 + 2*k. What is the remainder when i(6) is divided by 5?
4
Suppose -88 = -4*r - k, -4*k - 110 = -5*r - 0*k. What is the remainder when r is divided by 13?
9
Let c = 40 + 5. What is the remainder when c is divided by 24?
21
Suppose -b + y + 39 = 0, -3*y + 127 = 4*b - 57. Suppose 2*q + r - 77 = 0, -5*r + b = q + 18. What is the remainder when q is divided by 14?
12
Suppose -3*s = -x + 14, 2*x = 4*x - 5*s - 26. What is the remainder when 22 is divided by x?
6
Suppose -2*h - 6*h = -120. Calculate the remainder when 104 is divided by h.
14
Let d = -154 + 80. Let r = -47 - d. Calculate the remainder when 52 is divided by r.
25
Let f(y) = y**2 + 3*y - 8. Let z be f(-6). Suppose -z = 2*c + 2. What is the remainder when ((-159)/c)/((-2)/(-4)) is divided by 18?
17
Suppose 2*f - 2*i - 4 = -0*i, 0 = i + 1. Let h = 5 + -4. What is the remainder when h is divided by f?
0
Let o = 2 - 1. Let x be (18/(-2))/(o/(-2)). Calculate the remainder when 25 is divided by 166/x - 2/9.
7
Suppose -8*t = -3*t - 15. Suppose -5*b = 3*o - 1 + 8, 0 = -3*b + t*o + 15. Let w = b - -3. Calculate the remainder when 6 is divided by w.
2
Suppose -3*j = 2*a - 101, -55 = -4*a + 2*j + 171. Let u(w) = 85*w + 1. Let f be u(1). Let n = f - a. Calculate the remainder when n is divided by 11.
9
What is the remainder when ((-9)/(-27))/((-2)/(-90)) is divided by 9?
6
Let m = 16 + -9. Suppose -4*o - 399 = -m*o. Suppose -137 = -3*s - a, -s + 2*a - o = -4*s. Calculate the remainder when s is divided by 16.
15
Let m(p) = -p**2 + 10*p + 13. Let h be m(11). Suppose -h*s + 71 - 3 = 0. What is the remainder when s is divided by 18?
16
Let w = 131 - 123. What is the remainder when 60 is divided by w?
4
Let w = 25 + -17. Let y = -13 + 3. Let q = y - -32. Calculate the remainder when q is divided by w.
6
Suppose -2*w - 46 = -a, -24 + 94 = -3*w + a. Calculate the remainder when (2 + w)*9/(-6) is divided by 17.
16
Suppose -24 = -2*x + 4*p + 10, -p - 21 = -x. Suppose x = 3*r - 17. Calculate the remainder when 53 is divided by r.
11
Let f(p) = -p**3 + 5*p**2 + 3*p - 5. Let d be f(6). Let v = -5 - d. Calculate the remainder when v is divided by 7.
4
Let g(u) = u + 7. Let j be g(-5). Let d = 2 - j. Suppose -2*r - 3*z + 22 = d, -5*z + z = -5*r + 9. What is the remainder when 9 is divided by r?
4
Let m be (3/(-3))/(2/(-4)). Suppose m*w - 24 = -2*w. Calculate the remainder when (-17)/(-3)*(-9)/(-3) is divided by w.
5
Let z(c) = 3 + 0*c - 3*c**2 - 3*c + 5*c**2. Calculate the remainder when z(3) is divided by 7.
5
Let z(h) = 3*h - 4. Suppose -9 = -t + 7. Suppose 6*b - 2*b - t = 0. Calculate the remainder when 22 is divided by z(b).
6
Let o(g) = g + 8. Let b = -4 + 4. What is the remainder when (-4)/((-12)/45) - b is divided by o(0)?
7
Suppose -r - 14 + 40 = 0. Calculate the remainder when 57 is divided by r.
5
Suppose 19 = -5*z - 16. Let k = -11 - z. Calculate the remainder when ((-2)/k)/((-2)/(-28)) is divided by 4.
3
Suppose 21 = 5*y - 2*x, -y = -6*y + 3*x + 19. Suppose 5*r - 2*r = -9. Calculate the remainder when (-20 + -7)*1/r is divided by y.
4
What is the remainder when (0 + 28)*(-84)/(-48) is divided by 10?
9
Suppose -3*j = -0*n + n - 108, 0 = -n + 5*j + 76. Suppose n = 3*d + d. Calculate the remainder when -1 + 69 - (-1 + -1) is divided by d.
22
What is the remainder when 56 is divided by (-10)/15*(-171)/6?
18
Let u = 4 + 4. Suppose -4*d = -7*d + 270. Suppose -4*v + 2*p = -d, -8*v + 119 = -3*v + 4*p. Calculate the remainder when v is divided by u.
7
Suppose -4*d = -3*z - 420, 3*d + 3*z - 2*z - 302 = 0. What is the remainder when d is divided by 21?
18
Let g = 9 + -9. What is the remainder when 105 is divided by (g - -30) + -7 + 4?
24
Let g = 13 + -8. Suppose -221 = -3*u + w, -u + g*w = u - 130. Suppose -4*f + 7*f = u. What is the remainder when f is divided by 14?
11
Let t = -21 - -44. Calculate the remainder when t is divided by 13.
10
Let r = 11 - -21. What is the remainder when 62 is divided by r?
30
Let j(b) = -29*b - 7. Let s be j(-5). What is the remainder when (-4)/(-8)*s + -3 is divided by 23?
20
Let l(z) = -z**3 - 4*z**2 - 5*z - 1. What is the remainder when 37 is divided by l(-4)?
18
Let v be 0*(-4 + (-9)/(-2)). Let m(h) = -h**2 - h + 74. What is the remainder when m(v) is divided by 19?
17
Let d(r) = 40*r**2 + r - 1. Suppose -164*i = -168*i + 84. Calculate the remainder when d(1) is divided by i.
19
Let r be (-2)/(3 + -1)*11. Calculate the remainder when (-3 - -2)*2*r is divided by 8.
6
Suppose 0 = -2*l + 5*f + 16, -5*f + 0*f = -3*l + 19. Let v(b) = b**3 + b**2 - 2*b. What is the remainder when v(l) is divided by 8?
6
Let d(g) = -5*g + 2*g**2 + 0*g**2 + 3*g**2 - 7 - 4*g**2. Let b be d(6). Let f = 1 - b. What is the remainder when f is divided by 2?
0
Let q(r) = -2*r - 5. Let c be q(-4). Let h = -139 + 243. Suppose n + c*n = h. What is the remainder when n is divided by 9?
8
Calculate the remainder when