l = 5 - 3. Suppose m = 0, 23 = -p + l*p + 2*m. What is the remainder when p is divided by 8?
7
Let c(s) = s**2 + 4*s - 5. Calculate the remainder when ((-13)/(-4))/(3/12) is divided by c(2).
6
Suppose -4*x - 7 + 91 = 0. What is the remainder when 60 is divided by x?
18
What is the remainder when 1*165 + (1 - 1) is divided by 42?
39
Let n = 45 + -36. What is the remainder when 24 is divided by n?
6
Let n(d) = d**3 - 9*d**2 + 8*d + 4. Let l be n(8). Suppose -l*c + 8*c - 101 = -5*p, c + p - 24 = 0. Calculate the remainder when 36 is divided by c.
17
Let g(y) = y**2 - 2. Suppose 2*w - 12 = 2*n - w, 20 = -n + 5*w. Let u be g(n). Calculate the remainder when (0 + 2)/(u/(-23)) is divided by 8.
7
Suppose 0 = -2*c + 3*c - 2. What is the remainder when 44 is divided by 17 - -5*c/(-5)?
14
Suppose 4*c = 2*h + 3*c - 25, -4*c + 30 = 5*h. What is the remainder when 54 is divided by h?
4
Suppose -4*j + 102 + 30 = 0. Let l = 44 - 39. Suppose -103 = -l*n - j. What is the remainder when 25 is divided by n?
11
Let l(k) = k**2 - 4*k + 4. What is the remainder when 30 is divided by l(6)?
14
Suppose 47 = 2*b - 7. Let s(c) = c**3 - 7*c + 2 + 0 + 3*c + 3*c**2. Calculate the remainder when b is divided by s(2).
13
Let h = -87 + 119. Calculate the remainder when h is divided by 12.
8
Let v = -20 + 23. Suppose -2*n - f + 25 = 0, -2*f - 20 = v*n - 4*n. Calculate the remainder when 38 is divided by n.
10
Let p be 41 + 2 + -2 + -1. Suppose 4*l + l - p = 0. Calculate the remainder when 14 is divided by l.
6
Suppose -3*w - 28 = -5*w. What is the remainder when 111 is divided by w?
13
Suppose -5*s - 75 = -0*s. What is the remainder when (-16)/((s/6)/5) is divided by 11?
10
Suppose 0*x + 3*x = -18. Let j be x/(-3) + -1 + 4. Suppose 4*f - 5*w = 87, 0*w + j*w = f - 3. Calculate the remainder when f is divided by 15.
13
Let u = -20 + 22. Let i = 137 - 272. What is the remainder when 12 is divided by (u/6)/((-9)/i)?
2
Let y = 152 + -246. Calculate the remainder when 47 is divided by y/(-6) - 5/(-15).
15
Let l(q) be the second derivative of -4*q**5/5 - q**4/6 + q**2/2 + 4*q. What is the remainder when l(-1) is divided by 9?
6
Suppose d + 4*r = -64, 3*d + 165 = -r - 82. Let n = 121 + d. What is the remainder when n is divided by 13?
11
Let f(z) = z**2 - z + 3. Suppose 0 = -4*a + y - 3*y + 62, 4*y + 11 = a. What is the remainder when (1 - (-4)/6)*a is divided by f(3)?
7
Suppose 3*i - 14 - 36 = 2*z, 3*z - 6 = 0. Calculate the remainder when i is divided by 5.
3
Let t be 2/(3 - 1) - -1. Suppose 0 = 2*w - t*b + 3*b - 47, -5*w - 3*b + 115 = 0. Calculate the remainder when w is divided by 14.
12
Suppose 2*t = 5 + 1. Suppose u = 4*q, -5*u + 5*q + 12 = -t. Calculate the remainder when 6 is divided by u.
2
What is the remainder when ((-18)/(-24))/((-2)/(-16)) is divided by 4?
2
Suppose 5 = -u, 0 = -2*h - 4*u - 4 + 2. Calculate the remainder when 16 is divided by h.
7
Let o(s) = s**3 + 4*s**2 + 4. Let g be o(-4). Suppose 5*n = -3*i - g, 5*n - 2*n = -5*i - 12. What is the remainder when 3 is divided by n?
0
Let r(j) = j**3 + 3*j**2 - 2*j + 1. Suppose -5*b + 65 = -0*b. What is the remainder when b is divided by r(-3)?
6
Calculate the remainder when 10 + -6 - (-1 + -48) is divided by 19.
15
Suppose 2*z = -4*c + 2, z + 13 + 0 = 5*c. What is the remainder when 8 is divided by z/2 + (-7)/(-2)?
0
Let r(b) = -3*b - 24. Let z be r(-10). What is the remainder when 10 is divided by z - (-6 + 2 + 4)?
4
Let i(y) = 0*y - 2*y + 7*y. Let u = 544 - 525. What is the remainder when u is divided by i(2)?
9
Suppose 5*u + 2*o - 132 = 0, o + 128 = 5*u - o. Calculate the remainder when u is divided by 7.
5
Let j(h) = h**3 - 6*h**2 + 8*h. Suppose -3*s = -5 - 4. Suppose -4*f + 85 = s*n, 4*f - f + 4*n - 55 = 0. What is the remainder when j(6) is divided by f?
23
Suppose -7*z - 8 = -9*z. Suppose 0 = 3*l + 9, -2*l + l = q + 4. Let v = 1 - q. What is the remainder when z is divided by v?
0
Calculate the remainder when 36 is divided by (0 - (1 - 2))*(14 - -5).
17
Suppose -y + 0*y = -3*h - 14, -3*y = -h - 10. Let c be ((-3)/h)/(2/(-88)). Let q = c - -82. What is the remainder when q is divided by 17?
15
Let y = -25 + 30. Let p be (5/(-4))/(1/(-4)). Let f(u) = u**3 - 4*u**2 - 4*u + 4. What is the remainder when f(p) is divided by y?
4
Suppose 3*h + f + 16 = 3*f, -3*f = 3*h + 6. What is the remainder when 28 is divided by (0 + -1)/(h/60)?
13
Suppose -k = -3*a - 30, -2*k + a + 54 = -3*a. What is the remainder when k is divided by ((-9)/4)/((-9)/24)?
3
Calculate the remainder when (-1)/(-1*(-1)/(-101)) is divided by 26.
23
Suppose -5*s = -120 + 5. What is the remainder when s is divided by -13*(0 + (5 - 6))?
10
Let h(p) = 16*p**2 - 6*p - 3. Let l(c) = c + 1. Let d(a) = h(a) + 4*l(a). Calculate the remainder when 44 is divided by d(1).
14
Let y = -111 + 118. Calculate the remainder when 27 is divided by y.
6
Let n = -12 + 43. Calculate the remainder when n is divided by 16.
15
Suppose -5*w = -3*i + 28, 21 = 4*i - 4*w - 19. Calculate the remainder when 54 is divided by i.
10
Let g(u) = -25*u - 2. Calculate the remainder when g(-3) is divided by 15.
13
Let w be 592/14 - (-4)/(-14). Let n = 8 + -2. Suppose 5*b - y - w = -2*y, 0 = b + y - n. What is the remainder when b is divided by 5?
4
Suppose 43 = 3*i + 5*a, 4*i - 3*a + 8 - 46 = 0. Suppose -3*c + 6*c = 279. Suppose -2*y - y + c = 0. Calculate the remainder when y is divided by i.
9
Let n(r) = -r - 4. Let j = 4 - 8. Let f be n(j). Let t(z) = -z + 79. Calculate the remainder when t(f) is divided by 20.
19
Suppose q = -3*q + 36. What is the remainder when 7 is divided by 6 + (-4)/(12/q)?
1
Let q be (-8)/12*(-3)/(-2). Let a = q + 10. What is the remainder when a is divided by 3?
0
Suppose -38 = 8*w - 10*w - 3*b, 5*w - 104 = -3*b. Calculate the remainder when 59 is divided by w.
15
Let g(s) = -s**3 - s**2 + s + 20. Let a be g(0). Calculate the remainder when 61 is divided by 412/a + 2/5.
19
Let a(o) = 2*o - 9. Let q be a(6). Suppose -25 = -q*x - x - y, 0 = -3*x + 5*y + 13. Let p = 21 - 11. What is the remainder when p is divided by x?
4
Suppose -l + 5*j = -5*l + 54, 4*l + 2*j = 60. Suppose -141 - 24 = -5*o + 5*b, -3*b - 157 = -5*o. What is the remainder when o is divided by l?
13
Suppose -3*k + 2*k + 4 = 0. Suppose -c + 3 + 17 = 0. Suppose -k*t = c - 60. Calculate the remainder when 28 is divided by t.
8
Let n(i) = -i**3 - 7*i**2 + 8*i + 9. Let q be n(-8). Suppose q = -2*t + 5*t. Suppose -32 = 2*b - t*b. Calculate the remainder when b is divided by 11.
10
Calculate the remainder when 45 is divided by (-3 + 4 + 0)*-1 + 13.
9
Let y = -1 + 11. Calculate the remainder when 36 is divided by y.
6
Let r(x) = -x**3 - 5*x**2 - 4*x - 6. Calculate the remainder when 27 is divided by r(-5).
13
Let j = -12 - -20. Let z(a) = a**2 - 5*a - 4. Calculate the remainder when z(j) is divided by 7.
6
Suppose -k - 2 + 3 = 2*f, k - 4 = f. What is the remainder when 6 is divided by k?
0
Let f(a) = 5*a. Calculate the remainder when 59 is divided by f(3).
14
Let c = 87 + -73. What is the remainder when 31 is divided by c?
3
Let r = 6 - -3. Suppose 36 + r = 5*q. Calculate the remainder when 25 is divided by q.
7
Let y(x) = -x**2 - 14*x - 12. Calculate the remainder when y(-9) is divided by 5.
3
Suppose 67 = 5*u + 22. Calculate the remainder when 35 is divided by u.
8
Let n(u) be the second derivative of -2*u**5/5 - u**4/12 + u**2/2 + 3*u. Let o be n(1). What is the remainder when 35 is divided by ((-9)/(-4))/((-2)/o)?
8
Let j(l) = l**3 - 6*l**2 - 13*l - 6. Calculate the remainder when j(8) is divided by 4.
2
What is the remainder when 56 is divided by (5/10)/((-1)/(-38))?
18
Let q be 6/5*20/6. Let m = 21 - q. Calculate the remainder when 49 is divided by m.
15
Let s = 32 + -24. What is the remainder when s is divided by 3?
2
What is the remainder when 47 is divided by ((-80)/25)/((-2)/10)?
15
Let c(s) = -s - 1. Let i be (-1)/(-1 - (-18)/15). Let q be c(i). Suppose -2*j + 16 = q*r + 2*j, 0 = -j. What is the remainder when 6 is divided by r?
2
Let k(o) = -o**2 - 5*o - 2. Let u be k(-3). Let t = -1 + u. Suppose 0 = 19*a - 23*a + 8. What is the remainder when t is divided by a?
1
Suppose -2*o - 8 = -84. What is the remainder when o is divided by (-40)/(-6)*(-3)/(-2)?
8
Let l = -33 + 70. Let v = l - 3. Calculate