11
Let l(k) = -5*k + 1. Let u(s) = 2*s - 3. Let y be u(2). Let h(p) = -5*p - 1. Let m be h(y). Calculate the remainder when l(m) is divided by 11.
9
Suppose -146 + 68 = -3*a. What is the remainder when 179 is divided by a?
23
Suppose 5*o - 7*o + 8 = -4*q, -5*o = -q - 11. Suppose -o*u + 143 = 45. Calculate the remainder when u is divided by 4*((-2)/4 + (-19)/(-4)).
15
Let u(m) = 6*m - 1. Let r = 11 - 8. Calculate the remainder when 1 + 31 - (-4 + 4) is divided by u(r).
15
Let a(j) = j**3 + 9*j**2 - 13*j - 10. What is the remainder when 137 is divided by a(-10)?
17
Let s be (2 + -5)/(6/(-4)). Suppose -3*p + 35 = s*p. Calculate the remainder when p is divided by 4.
3
Suppose 2*d + 21 = 5*d. What is the remainder when 17 is divided by d?
3
Suppose 0 = 3*m - 4*p + 1 - 0, 0 = -m - 5*p + 25. Calculate the remainder when 16 is divided by m.
1
Let c = -10 - -13. Suppose -s = w - 4, 15 = c*w - w - 5*s. What is the remainder when 7 is divided by w?
2
Suppose -20 = 5*f, 0 = -4*i + 5*f + 99 + 49. What is the remainder when i is divided by (-99)/6*(-14)/21?
10
Let t(b) = -b + 3. Let z be t(5). Let g(x) = 13*x**2 - x - 1. Calculate the remainder when g(z) is divided by (-6)/(-15) + (-88)/(-5).
17
Let k = 43 - -120. Suppose -44 - 174 = -5*y + t, 4*y + 3*t = k. Calculate the remainder when y is divided by 11.
10
Suppose -13 = b - 2*b - 3*w, 2*b - 18 = -2*w. What is the remainder when 27 is divided by b?
6
Suppose 11 + 33 = 2*t. What is the remainder when (-6)/(6/(-16)*2/8) is divided by t?
20
Let t(q) = 2*q + 1. Let c be t(3). Suppose k - c - 4 = 0. Suppose 0 = -0*p + p - k. What is the remainder when 32 is divided by p?
10
Suppose 0*q + 3*x = -3*q + 117, 3*x - 83 = -2*q. What is the remainder when q is divided by 9?
7
Let l = 26 - -48. What is the remainder when l is divided by 11?
8
Suppose -2*o + 2*y = -0*o - 28, 32 = 4*o + 4*y. Calculate the remainder when o is divided by (-22)/(-8) - (-1)/4.
2
Let n = -270 - -472. What is the remainder when n is divided by 29?
28
Let o = -97 + 58. Let a = 8 - 25. Let j = a - o. What is the remainder when j is divided by 8?
6
Let l = 99 + -45. Calculate the remainder when l is divided by 19.
16
Let q(c) = 46*c**3 + 2*c - 1. Calculate the remainder when q(1) is divided by 24.
23
Let m = -37 + 66. Calculate the remainder when m is divided by 16.
13
Let c(b) = 4*b**3 + 3*b**2 - 6*b + 3. Calculate the remainder when c(3) is divided by 41.
38
Suppose 2*w + 15 = l + 80, -5*l = 2*w - 95. What is the remainder when 102 is divided by w?
32
Let p = -23 + 16. Let t(o) = o**3 + 6*o**2 - 9*o - 1. What is the remainder when (-1)/5 + (-637)/(-35) + 6 is divided by t(p)?
11
Let t(w) = -16*w**3 + 2*w + 1. Suppose 56 = 2*v + 2*m, 3*m = m + 2. What is the remainder when v is divided by t(-1)?
12
Suppose 0 = -2*z + 221 - 51. Suppose i = -4*i + z. What is the remainder when (-5)/1*(-64)/10 is divided by i?
15
Calculate the remainder when -4 - ((-10)/75 + 926/(-30)) is divided by 10.
7
Let d(r) = -r**2 - 5*r + 3. Suppose g - 5 = -9. Suppose -k - 2*p + 45 - 18 = 0, 4*p + 108 = 4*k. What is the remainder when k is divided by d(g)?
6
Calculate the remainder when (9/3)/(-3) - -100 is divided by 25.
24
Let a = 67 - 9. Calculate the remainder when a is divided by 24.
10
Suppose 0 = 3*w + t - 0*t + 43, -67 = 5*w + 4*t. Calculate the remainder when 14/105 + (-988)/w is divided by 23.
20
Suppose 5*l = -4*n + 75 + 11, 2*n - 28 = 5*l. What is the remainder when 36 is divided by n?
17
Let h(c) = c**3 - 7*c**2 - c - 4. Let i be h(7). Let d be 9/i + 12/(-66). What is the remainder when 1/3*(-51)/d is divided by 6?
5
Suppose -8 = -4*j + 2*j. Suppose -90 = 4*x - 2*n, -93 = j*x - n - 2*n. What is the remainder when (x/15)/((-1)/5) is divided by 4?
3
Let m(i) = -2*i**2 - 13*i - 13 + 4*i**2 - 3*i**2 + 22. Calculate the remainder when m(-13) is divided by 3.
0
Let t be (-10)/(-15) + 175/3. Let w = t + -39. Let a = -12 + w. What is the remainder when a is divided by 5?
3
Suppose 0 = -5*c - 3*d + 302, -3*c = -d + 4*d - 180. Suppose -h + 0*h + 13 = 2*b, 3*h - 5*b - c = 0. What is the remainder when h is divided by 10?
7
Let r = -16 - -22. Let c(s) = -s**2 + 8*s - 7. Let u be c(r). Suppose p - 53 = 4*a, -a = -u*p + 2*a + 214. What is the remainder when p is divided by 14?
13
Calculate the remainder when (21/10 - (-3)/(-5))*38 is divided by 20.
17
Let d(y) = y**3 - 6*y**2 - 7*y. Let q be d(7). Suppose 5*n - 6*t + t = 20, q = -n - t + 6. What is the remainder when -4 + 17 + (1 - 1) is divided by n?
3
Let d be ((-22)/(-55))/((-1)/5). Let y(p) be the first derivative of -2*p**2 + 2*p + 2. What is the remainder when y(d) is divided by 4?
2
Let a = 24 + -7. What is the remainder when a is divided by 5?
2
Let z(y) = 9*y**2 + 4*y + 2. Let l(x) = -x**3 - 6*x**2 + 8*x + 5. Let o be l(-7). What is the remainder when z(o) is divided by 16?
14
Calculate the remainder when 88 is divided by ((-234)/27)/(2/(-3) - 0).
10
Let r = 16 - 7. Suppose 0*v = -4*y - v + 21, -y + 5*v = 0. Calculate the remainder when y is divided by 40/(-15)*r/(-12).
1
Let u be 8*(-6)/16*-6. Suppose -2*g - 16 = y, 2*g - 2*y + 40 = -2*g. Calculate the remainder when (-335)/g + (-4)/u is divided by 13.
11
Suppose 4 = -k - 36. Let h(q) = -q**2 - 3. Let j be h(-5). Let s = j - k. What is the remainder when 22 is divided by s?
10
Let j = -23 + 32. What is the remainder when 16 is divided by j?
7
Let o(r) = -9*r + 2. What is the remainder when o(-4) is divided by (-1)/5 - (-204)/20?
8
Let g be 409 + -7 + -2 + -1. What is the remainder when (4/6)/(14/g) is divided by 10?
9
Suppose 123 = 2*i + i. What is the remainder when i is divided by 14?
13
What is the remainder when (-4)/(-10) - 316/(-10) is divided by 11?
10
Let z(a) = a - 3. Let o be z(-9). Calculate the remainder when 2 is divided by -6*(-2)/o*-2.
0
Let w = 15 - 2. Calculate the remainder when w is divided by 4.
1
Let m(o) = 7*o**3 - 9*o**2 - 15*o + 2. Let j(h) = 3*h**3 - 5*h**2 - 8*h + 1. Let y(v) = -5*j(v) + 2*m(v). What is the remainder when y(8) is divided by 9?
6
Let s(v) = v**3 - v**2 - 5*v + 2. Let x(l) = l + 9. Let b be x(-6). Let f = -15 + 22. What is the remainder when f is divided by s(b)?
2
What is the remainder when 7 is divided by (-14)/(-7)*(-3)/(-2)?
1
Suppose 0 = -14*m + 17*m - 516. Calculate the remainder when m is divided by 35.
32
Suppose 24 = 5*g - 9*g. Let k = 9 + 0. Let r = k + g. Calculate the remainder when 8 is divided by r.
2
Suppose 17*b - 12*b = 215. Calculate the remainder when b is divided by 11.
10
Let p be ((2 - 0) + -1)*25. Let d be p/(-9) + 2/(-9). Let i = d - -4. Calculate the remainder when 2 is divided by i.
0
Suppose 0 = -7*n + 4*n + 171. Let r = n + -41. Calculate the remainder when 47 is divided by r.
15
Let h = -5 + 75. Let u(v) = -v**3 + 5*v**2 + 4*v + 4. What is the remainder when h is divided by u(5)?
22
Suppose 4*k - 7 = -3*z, 3 = -2*z + 7*z - 2*k. Suppose -4*h = -2*h - 8. Suppose 4*w - 8 - 2 = -2*g, -h*w = -8. What is the remainder when z is divided by g?
0
Let c(h) = -13*h**3 + 17*h**2 - 6*h + 2. Let w(q) = -7*q**3 + 9*q**2 - 3*q + 1. Let g(v) = -6*c(v) + 11*w(v). What is the remainder when 23 is divided by g(3)?
7
Let r(v) = -v**3 - 3*v**2 + 5*v + 5. Let k be r(-5). Let u = -21 + k. What is the remainder when 35 is divided by u?
8
What is the remainder when 12*1 + -6 + 6 is divided by 9?
3
Let i = 10 + -14. Let v = i - -6. Calculate the remainder when 42/8 + (-1)/4 is divided by v.
1
Let o(w) = -w**3 + 9*w**2 - 2*w - 7. Calculate the remainder when o(7) is divided by 26.
25
Let c(n) = n - 54. Let i be c(0). Let x = 80 + i. Suppose -2*d + d + 9 = 0. Calculate the remainder when x is divided by d.
8
Suppose 2*v - 6*v + 38 = -3*z, z - 46 = -4*v. Let p = 19 - -13. Calculate the remainder when p is divided by v.
10
Suppose 5*q - 3 = -3*u - 25, -5*q - 10 = 0. Let y = 0 - u. What is the remainder when 7 is divided by y?
3
Let w = 223 - 208. Calculate the remainder when 102 is divided by w.
12
Let l(u) = -u**2 + u + 50. Let t be l(0). Suppose -f + t = f. What is the remainder when f is divided by 9?
7
Let q be (12/15)/((-4)/(-10)). Suppose 3*o + 197 = q*t + 3*t, -3*o - 37 = -t. Let v = -2 - -16. Calculate the remainder when t is divided by v.
12
Let m = 10 - -18. Calculate the remainder when 81 is divided by m.
25
