the remainder when 101 is divided by s(1).
23
Let k(z) = z**2 - z + 8. Let p(v) = -14*v + 1. Let s(u) = u**2 - 5*u + 2. Let b be s(4). What is the remainder when p(b) is divided by k(0)?
5
Suppose s - 82 = -0*r + 5*r, 2*s + 2*r = 104. Let g = s + -34. Suppose -7*f + 2*f = 5*x - 25, 5*x - 17 = -4*f. Calculate the remainder when g is divided by f.
7
Suppose 2*k = 4 + 16. Let d = k + -6. Suppose -y + 0 = -d. Calculate the remainder when 10 is divided by y.
2
Suppose 4*l = 2*h - 110, -335 = -5*h + 8*l - 13*l. Suppose 0*c + 3*z - 62 = -5*c, -5*z = c - 8. Calculate the remainder when h is divided by c.
11
Suppose 56 = -0*m + 4*m. What is the remainder when 152 is divided by m?
12
Let p = 228 - 134. Suppose 0 = -2*a - 4*v + 32, 2*v + 104 = 4*a - 0*v. Calculate the remainder when p is divided by a.
22
Suppose -6*k + 125 = -k. Suppose -5*n + k = 0, n = 5*i + 2*n - 60. Let q = i - 7. Calculate the remainder when 11 is divided by q.
3
Calculate the remainder when 23 is divided by (1 - 0)/(4/48).
11
Suppose -4*h - 12*h + 432 = 0. Calculate the remainder when 186 is divided by h.
24
Let m be (21/(-12) - -1)/(1/4). Let u(s) be the third derivative of s**5/30 + s**4/12 - s**2. Calculate the remainder when 34 is divided by u(m).
10
Let w = 36 - 24. Suppose -18*f + 12*f = -282. Calculate the remainder when f is divided by w.
11
Let i(o) = -39*o**3 - o**2. Let u be i(1). What is the remainder when 38 is divided by (u/(-14))/((-2)/(-7))?
8
Let q = -13 + 52. Suppose 0 = -2*l + 5*l - 30. What is the remainder when q is divided by l?
9
Let v(z) = z**2 + 5*z - 5. What is the remainder when 2 is divided by v(-6)?
0
Let l = -4 - -7. Let i = l - 1. What is the remainder when i is divided by 1?
0
Suppose 0*s + 40 = -s. Let o = -28 - s. Calculate the remainder when 1161/33 - (-4)/(-22) is divided by o.
11
Suppose -m = -2*d + 33, 4*d - 3*m = -0*d + 67. Suppose 5*t = 4*a - 34, 4*a - d = t + 26. What is the remainder when a is divided by (-160)/(-24) - (-4)/(-6)?
5
Suppose -3*r = -5*y - 28, -5*r - 2*y + 32 = -3*y. What is the remainder when r is divided by ((-4)/(-2) + 0)*(0 + 1)?
0
Let k be 5/((-76)/20 + 4). Let u = k + -11. What is the remainder when 55 is divided by u?
13
Suppose 15 = 3*b - 0*b. Suppose -2*l = -21 - b. What is the remainder when 38 is divided by l?
12
Let h be (-2 + 2 - -3) + 0. Let o(m) = h + 14*m**2 + 0*m - 4 - m. What is the remainder when 26 is divided by o(-1)?
12
Suppose x - 4 = 3*p + 2*p, -x - p + 10 = 0. Calculate the remainder when 16 is divided by x.
7
Suppose 6*s = s + 20. Suppose 3*x = 13 - 4, -2*o + s*x = 24. What is the remainder when 30 + 3/o*2 is divided by 15?
14
Suppose -3*i + 0 = -6. Let c = 0 - 0. Suppose i*r + r - 93 = c. Calculate the remainder when r is divided by 11.
9
Let m(p) = p**2 + p - 3. Let r(n) = n**3 - 13*n**2 + 13*n - 15. Let i be r(12). Calculate the remainder when 4 is divided by m(i).
1
Let a(w) = w**3 + 6*w**2 + 2*w + 3. Let p be a(-6). Let y be (4/(-3))/((-2)/p). Let m = 15 - y. What is the remainder when m is divided by 11?
10
Let s = -42 - -78. Suppose 0*x - s = -3*x. Calculate the remainder when x is divided by 7.
5
Let w(t) be the third derivative of t**4/8 + 5*t**3/6 + 3*t**2. Calculate the remainder when 49 is divided by w(4).
15
Suppose 0 = -4*h + 3*c + 50 + 37, h - c - 23 = 0. Calculate the remainder when 69 is divided by h.
15
Let n = 157 - 146. Calculate the remainder when n is divided by 8.
3
Suppose g + 8 + 2 = 3*d, -2*g = -4. Suppose 3*w - 5 = -i, 0*w - 20 = -d*i - 3*w. What is the remainder when i is divided by 2?
1
Let d(p) = -p + 11. What is the remainder when 50 is divided by d(-6)?
16
Let q = -4 - -7. Suppose 52 = q*v - p - p, -5*v + 108 = 2*p. Calculate the remainder when 78 is divided by v.
18
Let p = 48 - 81. Let s = -18 - p. Suppose x + l - 6 = 0, x + 3*l - 12 = 5*l. Calculate the remainder when s is divided by x.
7
Let s = -10 + 12. What is the remainder when s/8 + 2043/36 is divided by (4/(-2))/(2/(-15))?
12
Let h(j) = -j**2 + 9*j + 1. What is the remainder when 39 - (-2 + (2 - -2)) is divided by h(6)?
18
Let c be (-6)/(-15)*1*130. Suppose 7*h - 3*h - 36 = -2*b, 4*h = -3*b + c. Calculate the remainder when b is divided by 9.
7
Suppose 2*b - 3*q - 36 = -0*q, -5*b - 5*q + 40 = 0. What is the remainder when 16 is divided by b?
4
Calculate the remainder when 47 is divided by (-56)/42*30/(-4).
7
Let v(l) = l**2 + 14*l + 19. Let g be v(-13). Suppose 4*p = 6*p - g. Calculate the remainder when 7 is divided by p.
1
Let i(x) = -x**2 + x - 3. Let c be i(3). Let p(q) = q**2 + 5*q - 2. Calculate the remainder when p(c) is divided by 12.
10
Let t = 100 + -76. Calculate the remainder when (94/(-3))/((-4)/6) is divided by t.
23
Suppose 0 = -5*q - 0*q + 5*j + 50, 0 = 5*q + 4*j - 68. Suppose 0 = 3*f + 3 + q. Let l(u) = -u**2 - 6*u - 2. Calculate the remainder when l(f) is divided by 2.
1
Let d = 16 - 14. Suppose -4*i + 3*v = -52, -v - d = i - 8. What is the remainder when i is divided by 3?
1
Suppose 0 = -3*z + 6*z - 45. Let g(j) = -2*j + 8. What is the remainder when z is divided by g(0)?
7
Let c(n) = 14*n + 14. What is the remainder when c(6) is divided by ((-25)/10)/(2/(-20))?
23
Suppose -10 = -d + 2. Suppose m - d = -3*m. Suppose -2*t + 3*t = 5*b + 18, -m*t + 90 = 3*b. What is the remainder when t is divided by 10?
8
Let o = 3 - 2. Calculate the remainder when o is divided by 1.
0
Let t = -250 + 256. What is the remainder when t is divided by (-1)/(-1) + 1 - -1?
0
Let m be 4/((-16)/(-12)) - -6. Suppose 23 = w - m. Calculate the remainder when w is divided by 11.
10
Let k = -37 - -77. What is the remainder when 117 is divided by k?
37
Let y(g) = -13*g**3 - 3*g**2 - 6*g - 3. What is the remainder when y(-2) is divided by 40?
21
Let k(o) = 4*o**2 - 2*o - 4. Let n = 18 + -5. Calculate the remainder when k(-3) is divided by n.
12
Let p(v) = v**2 - 7. Suppose 4*q - 2*w + 5*w - 40 = 0, 0 = -3*q + 3*w + 30. Calculate the remainder when p(-6) is divided by q.
9
Let c = -3 + 2. Let v be c + (-10)/(-1) + -1. Suppose -5*u + v = -4*u. Calculate the remainder when 15 is divided by u.
7
Suppose 2*s + 4*b - 16 = 0, 2*b = -4*s - 2*b + 20. What is the remainder when 4 + 3/(-1) + 2 is divided by s?
1
Let g be (-76 - 3 - -3)/(-2). Let p = -22 + g. What is the remainder when p is divided by 6?
4
Suppose -2*r + 114 = 2*r - 5*c, -2*r + 3*c + 58 = 0. Calculate the remainder when r is divided by 10.
6
What is the remainder when 1/2 - (-354)/4 is divided by 19?
13
Let x(d) = d - 7. Let n be x(7). Suppose 5*b + 2*w = 106 + 6, -b - 4*w + 26 = n. Calculate the remainder when b is divided by 12.
10
Let k = -28 + 2. Let p = k - -47. Suppose 3*c + 3 = p. Calculate the remainder when c is divided by 4.
2
Let t = 246 - 51. What is the remainder when t is divided by 22?
19
Let t = 2 + 2. Suppose -24 - 20 = -t*p. What is the remainder when p is divided by 6?
5
Let f = -14 - -30. What is the remainder when f is divided by 6?
4
Let r = 79 + -67. What is the remainder when 46 is divided by r?
10
Suppose -z - 7 = -2*l, 2*l + z = -0*z + 5. Suppose 0*s + s = l. Suppose s*t = t + 52. Calculate the remainder when t is divided by 14.
12
Let g = 29 - -1. Suppose 125 = 3*m - 2*s, -m + s = -2*s - g. Calculate the remainder when m is divided by 12.
9
Suppose 2*m = 4*s - 16 - 14, 4*s - 4*m - 24 = 0. Let g(b) = b**3 - b**2 + b + 17. Let l be (2/2 + -1)/(-1). What is the remainder when g(l) is divided by s?
8
Suppose -4*b - 4*r = 64 + 116, 2*r + 234 = -5*b. Let a = b - -82. Calculate the remainder when a is divided by 9.
7
Suppose 3*d = 2*g - 4*g + 12, -3*g + 4 = d. Let w = -9 - -9. Suppose w*t = -d*t + 32. What is the remainder when 31 is divided by t?
7
Let j(a) = -a**2 + 7*a + 1. Let f = 6 - 1. Let v(i) = -i**2 + 7*i - 5. Let h be v(f). What is the remainder when j(h) is divided by 4?
3
Suppose 8*m - 3*m - 170 = 0. What is the remainder when 133 is divided by m?
31
Calculate the remainder when (-28)/(-8)*2 - 2 is divided by 4.
1
Let h(m) = -m**3 + 2*m**2 - m. Suppose 0 = -3*v - 5 - 1. Calculate the remainder when 71 is divided by h(v).
17
Suppose 5*u - 770 = -9*u. Let c = 41 + -22. Calculate the remainder when u is divided by c.
17
Suppose 71*q = 66*q + 515. What is the remainder when q is divided by 35?
33
Let b be (4/6)/((-2)/9). Let w = -44 + 80