80 = 0, 0*f - 80 = -2*o + 2*f. What is the remainder when o is divided by ((-16)/10)/((-2)/15)?
11
Let c be 7/(-21)*(1 - 10). Suppose -5*l + c + 67 = 0. What is the remainder when l is divided by 0 + 6 + -1 - 0?
4
Let w = 30 + -12. Let r(n) = -n**3 + 12*n**2 + n - 2. Calculate the remainder when w is divided by r(12).
8
Calculate the remainder when 1 is divided by (-4)/6 + 20/12.
0
Let i = 69 - 62. What is the remainder when 29 is divided by i?
1
Let k(o) = -o**3 - 9*o**2 + 9*o + 2. What is the remainder when 35 is divided by k(-10)?
11
Let z(y) = -4*y**3 + 4*y. Calculate the remainder when z(-2) is divided by 15.
9
Let b = -13 + 9. Let p be ((-6)/b)/((-3)/8). Calculate the remainder when 2/p - (-11)/2 is divided by 3.
2
Let h = 21 + -67. Let k = 41 - h. Suppose 0 = 5*y + 32 - k. What is the remainder when 21 is divided by y?
10
Suppose 5*w + 3*r - r - 183 = 0, -2*w + r = -66. Let c = 25 + -13. What is the remainder when w is divided by c?
11
Let g(o) = -7*o + 2. Let x be g(-4). Suppose -2*c - x = -a + c, c = -4*a + 120. Calculate the remainder when a is divided by 11.
8
Suppose -75 = -3*m + 24. Let p be (4/2)/((-2)/6). What is the remainder when m is divided by (68/(-6))/(p/9)?
16
Let q(j) = 2*j**2 + 3*j + 1. Let n = 118 + -36. Calculate the remainder when n is divided by q(-4).
19
Let a(u) = 7*u + 3. What is the remainder when a(2) is divided by 5?
2
Suppose 2*y - 6 = -2*b, -3*y + 0 + 3 = 0. What is the remainder when 25 + b/(2/3) is divided by 15?
13
Let m(w) = 5*w - 31. Calculate the remainder when 19 is divided by m(7).
3
Let i(d) = d**2 - 12*d + 9. What is the remainder when 25 is divided by i(12)?
7
Suppose 0 = 4*o + 2*k - 8, 3*k - 12 = -3*o - 2*o. Suppose -4*x = 0, o*q - q = 5*x - 15. Calculate the remainder when q is divided by 9.
6
Suppose -4*z = 4*x - 28, 3*x - z = -2*z + 17. Suppose 3*y = -2*o + 133, -5*y - o = -4*o - 209. Calculate the remainder when y is divided by (x - 6)/(1/(-22)).
21
Let u(g) be the second derivative of g**5/20 - g**4/3 + 5*g**3/6 - 5*g**2/2 + g - 5. Let r = 3 - -1. What is the remainder when 43 is divided by u(r)?
13
Suppose 2*n + 5 = 7*n, 5*z = 3*n + 122. Let t = 15 - 6. Calculate the remainder when z is divided by t.
7
Let o be 1 - (1 + 3) - 1. Let v = -3 + 11. Let s = v + o. Calculate the remainder when 10 is divided by s.
2
Let j be -6 - (2 + 0) - -2. What is the remainder when 34 is divided by (j/(-8))/(3/36)?
7
Let a = 19 - 11. Let m(n) = -n**2 + 10*n - 8. Let y be m(9). Calculate the remainder when a is divided by (-9 - -3)/(-1 - y).
2
Suppose 0 = 4*g + 8, 0 = -5*x + g + 3*g + 23. What is the remainder when 8 is divided by x?
2
Suppose 0 = -2*b - 4*i + 108, b + i - 99 = -b. Calculate the remainder when b is divided by 10.
8
Let p = 3 - 4. Calculate the remainder when 33/5 - 6/(-15) is divided by 0 - (p - 2) - -1.
3
Let b(l) = -l**2 - 3*l + 2. Let r be b(-3). Let u(z) = 0 + 5*z**r + 1 + 2*z + 1. Calculate the remainder when 35 is divided by u(-2).
17
What is the remainder when (21/(-14))/((-2)/12) is divided by (4/(-6))/(1/(-6))?
1
Let x be (158/4)/((-2)/(-4)). Suppose x = -4*u + 219. Suppose -18*h = -12*h - 108. What is the remainder when u is divided by h?
17
Suppose -66 = -3*h + 21. Suppose 7 = 3*c - 5, c - 51 = -p. Suppose 2*x + 79 = 5*y, x - 11 = -4*y + p. Calculate the remainder when h is divided by y.
14
Suppose -2*p - 15 = -7*p. Suppose -2*v = 4*w - 14, 61 = 2*v + p*v - 3*w. Calculate the remainder when 30 is divided by v.
8
Let n = -88 + 164. Suppose 2*u - 5*u - 86 = -4*q, -4*q - 2*u = -n. Calculate the remainder when 39 is divided by q.
19
Let l be ((-2)/(-3))/(16/(-1128)). Let b = 71 + l. What is the remainder when 45 is divided by b?
21
Suppose 2*w - 91 = 99. What is the remainder when w is divided by 24?
23
Suppose -20 = 11*h - 97. Calculate the remainder when 26 is divided by h.
5
Let n(g) = -2*g**3 - 6*g**2 + g + 6. Let l(v) = v**3 - v. Let m(r) = l(r) + n(r). What is the remainder when 17 is divided by m(-6)?
5
What is the remainder when (-1)/(-4) - 51/(-4) is divided by 16/((-1 - -2) + 0 + 1)?
5
Let y(i) be the second derivative of 5*i**3 - i**2/2 - i. Suppose 0*v + 4*m = 2*v + 10, 0 = -5*v - 3*m + 14. What is the remainder when y(v) is divided by 15?
14
Let l be ((-8)/3)/((-3)/(-9)). What is the remainder when 38 is divided by l/(-4)*(-26)/(-4)?
12
Suppose 5*d = -0*d, t = 2*d + 111. Suppose -3*h + 48 + 118 = -5*j, -2*h + 3*j = -t. What is the remainder when 9*h/9*1 is divided by 15?
12
Let h(r) = r**3 - 6*r**2 + r - 3. Let q be (-18)/(-4)*8/(-6). Let m = q - -13. What is the remainder when h(m) is divided by 14?
11
Let w = -671 - -449. Calculate the remainder when 2/(-7) + w/(-42) is divided by 4.
1
Let y be 15/25*1*5. Suppose -y*s - 4*v + 3 = 0, -s - 5*v = 4*s - 5. What is the remainder when 1 is divided by s?
0
Let v(h) = -h. Let j(t) = -2*t. Let g(p) = j(p) - v(p). Let n be g(3). Calculate the remainder when 1 - (n - -2 - 41) is divided by 15.
13
Let y = 18 + -7. Calculate the remainder when y is divided by 8/(-6)*9/(-2).
5
Suppose 0*i - 8 = i. Let f = i + 25. Let m(v) = -v**3 + 5*v**2 - 3*v + 2. Calculate the remainder when f is divided by m(4).
5
Let u be (-3)/(((-84)/80)/7). Suppose 2*p - u = -0*p. What is the remainder when 38 is divided by p?
8
Suppose -6 = 3*x, -y - x + 0*x = -13. What is the remainder when 28 is divided by y?
13
Suppose -p - 2*p - 90 = -5*m, -2*m + 2*p + 32 = 0. Calculate the remainder when 59 is divided by m.
17
Let v = 232 + -207. What is the remainder when 71 is divided by v?
21
Let l = -22 - -40. What is the remainder when 34 is divided by l?
16
Suppose -77 = -7*m + 126. What is the remainder when 57 is divided by m?
28
Calculate the remainder when 112 is divided by 27/1 - (-5 + 3).
25
Suppose 0*s = 3*w + 5*s - 15, 5*w - 5*s = 25. What is the remainder when 24 is divided by w?
4
Let d = -13 - -90. Calculate the remainder when d is divided by 13.
12
Let o(l) = -164*l**2 - l + 1. Let h be o(1). Calculate the remainder when h/(-4) + 0/2 is divided by 21.
20
Suppose w + 2 = 0, 0*w - 16 = -4*q - 4*w. Calculate the remainder when q is divided by 5.
1
Suppose -t = -2*t + 4. Let d = t - -1. Calculate the remainder when d is divided by 2.
1
Suppose m - 1 = -b + 5*m, -5*b + 51 = 3*m. Calculate the remainder when ((-12)/b)/((-3)/72) is divided by 11.
10
Suppose 0 = -4*p + 2*p - 162. Let o(a) = 15*a - 1. Calculate the remainder when p/6*2/(-1) is divided by o(1).
13
Let r(q) = 24*q - 2. What is the remainder when r(2) is divided by ((-48)/(-10))/(6/20)?
14
Let s(q) = 7*q**2 + 4*q + 8. What is the remainder when 81 is divided by s(-2)?
25
Suppose -33 = -0*m - 3*m. Suppose 4*u - 55 = 29. What is the remainder when u is divided by m?
10
Let s = -5 + 21. Suppose -4*h + 6 = -0*l - 5*l, 0 = 4*h - s. What is the remainder when 4 is divided by l?
0
Let g(l) = l**3 - 20*l**2 + 3*l + 27. What is the remainder when g(20) is divided by 9?
6
Suppose -3*w = -3*f + 132, 3*w - 183 = -7*f + 3*f. What is the remainder when f is divided by 16?
13
Let u = -38 - -61. What is the remainder when 90 is divided by u?
21
Suppose -4*j + 14 - 6 = 0, 5*p - 413 = -4*j. Let r = 117 - p. Calculate the remainder when r is divided by 13.
10
Let o(i) = -7*i - 9. Let y be o(-7). Let k be ((-2)/5)/((-2)/y). Suppose -s + 6 = -k. What is the remainder when s is divided by 5?
4
Let t = 28 - 17. Calculate the remainder when 32 is divided by t.
10
Let n = 45 - 9. Suppose -3*u - n = 4*y + u, 5*y + 21 = 3*u. Let s = 1 - y. What is the remainder when 12 is divided by s?
5
Suppose -19*t + 14*t = -20. Calculate the remainder when 15 is divided by t.
3
Let b(i) = -i**3 - 19*i**2 + 19*i + 1. Calculate the remainder when 82 is divided by b(-20).
19
Let c = 56 + -18. Let v(i) = -i**3 - 5*i**2 + 5. Let j be v(-5). Suppose 3*l - 5*h = 50, 102 = j*l - h + 2*h. Calculate the remainder when c is divided by l.
18
Let q be (-6)/(-27) + (-68)/(-18). Suppose -q*g = -4*m - 24, 2*g - 2*m - 7 = g. Calculate the remainder when g is divided by 4.
1
Let q(o) = -o + 4. Let u be q(-4). Suppose -4*l = -6*l + u. Calculate the remainder when l is divided by 2.
0
What is the remainder when 9/1*77/21 is divided by 9?
6
Let n(m) be the second derivative of 7*m**3/6 - 5*m**2/2 + 5*m. Calculate the remainder when n(6) is divided by 19.
