e remainder when v is divided by 5.
3
Let g(a) be the second derivative of -1/20*a**5 + 0 - 1/3*a**4 - a**2 + 1/6*a**3 - 3*a. Calculate the remainder when 53 is divided by g(-5).
17
Suppose 0 = -65*m + 60*m + 95. Suppose 5*v = -0*v + 180. Calculate the remainder when v is divided by m.
17
Let z(h) = -2*h**3 - 2*h**2 + h - 2. Let j be z(-2). What is the remainder when (-15)/10 + 122/j is divided by 96/10 - (-2)/5?
9
Suppose 9*u + 11*u = 240. Let w(q) = -q - 3. Calculate the remainder when u is divided by w(-6).
0
Let l = 0 + -7. Let m = 4 - l. Calculate the remainder when 41 is divided by m.
8
Let z(h) = -h**2 + 11*h - 3. Suppose 3*s - 21 = -0*s. Calculate the remainder when z(s) is divided by 9.
7
Let w(p) = p**3 - 13*p**2 + 2*p - 4. Calculate the remainder when w(13) is divided by 8.
6
Suppose 0 = g - 9 - 6. Calculate the remainder when g is divided by 9.
6
Let q(s) = s**2 - 8*s - 6. Let x be 6/45 + (-148)/(-15). What is the remainder when 54 is divided by q(x)?
12
Let f(r) = 2*r - 7. Let a be (-12)/15*10*-1. Calculate the remainder when 17 is divided by f(a).
8
Let v be (-1 + 2)*62/2. Suppose 4*c - 20 = 5*u + 3*c, -2*u = -5*c + v. Calculate the remainder when ((-84)/9)/4*u is divided by 3.
1
Suppose 2*r = -2*r + 28. Let a = -1 + r. What is the remainder when 10 is divided by a?
4
Let f be 7 - (-12)/9*-3. Suppose -116 = -2*o + 2*y, 0 = -3*o + o + f*y + 111. Calculate the remainder when o is divided by 16.
15
Suppose -f = -3*f + 8. Suppose -8*a + f*a = -12. What is the remainder when (a/(-2))/(6/(-208)) is divided by 18?
16
Let i = -41 - -53. What is the remainder when 21 is divided by i?
9
Let a = 34 - 23. Calculate the remainder when 42 is divided by a.
9
Let v(f) = 14*f**2. Let b be (-2 - 0)/(0 + 2). Let s = 7 + 33. Calculate the remainder when s is divided by v(b).
12
Let l(p) = -3 + p**3 + 0*p + 0 + p + 5*p**2. What is the remainder when 46 is divided by l(-3)?
10
Suppose 0 = -0*d + 5*d - 120. Suppose s - d = -2*y, 5*s - 6*y = -5*y + 65. Calculate the remainder when s is divided by 4.
2
Let u(t) = 5*t**2 - 1 + 3 - 2*t**2 - t**2 - 5*t. What is the remainder when 40 is divided by u(4)?
12
Let v = 1 - -2. Suppose -v*s + 49 = 19. Suppose 7*f - 4*f + 4 = -2*d, 32 = 4*d - 4*f. What is the remainder when s is divided by d?
2
Let y(p) = -p**3 + 5*p**2 - 4*p + 3. What is the remainder when 7 is divided by y(4)?
1
What is the remainder when 2 is divided by 6*(-1)/2 - -4?
0
Let m(s) = s**2 + 3*s + 1. Let p be m(-4). Calculate the remainder when 38 is divided by (-12)/(-3)*(p + 0).
18
Let f = -7 - -11. Let v = f - -1. Suppose -4*m = -5*a - v*m + 80, 0 = 5*m. What is the remainder when 46 is divided by a?
14
Suppose -4*c + 76 + 16 = 0. Calculate the remainder when 67 - (-5 + 3)/(-2) is divided by c.
20
Suppose -5*w - 35 = -2*q, 2*q + 3*q - 3*w = 59. Let i = -6 + 11. What is the remainder when (-3 + 38)*4/i is divided by q?
8
What is the remainder when 4 - (0 + 3)/(-3) is divided by 3?
2
Suppose 5*p - 12 = -2. Suppose -5*x = -22 + p. Calculate the remainder when 7 is divided by x.
3
Suppose 0 = -4*o - o + 10. Suppose 0 = -q + 3*k + 23, 0*k - o*k - 10 = 0. What is the remainder when 15 is divided by q?
7
Let h = 2 - 0. Suppose 8*s - 15 = 3*s. What is the remainder when s is divided by h?
1
Suppose 158 = -4*t - 162. What is the remainder when ((-27)/(-2))/((-30)/t) is divided by 19?
17
Let m(z) = -6*z - 2. What is the remainder when m(-7) is divided by (21/(-2))/3*-4?
12
Suppose -6*a = -9*a + 9. Calculate the remainder when 5 is divided by a.
2
Suppose -8*o + 3*o - 2*q = -22, -3 = -3*q. Suppose -b + 3*b = o. Suppose -4*n + 20 = -0*n. What is the remainder when n is divided by b?
1
Suppose 4*c - n - 116 = 0, -5*c + 4*n + 113 + 32 = 0. Calculate the remainder when 2/2*(c - 1) is divided by 10.
8
Let j be 27*((-3)/(-9) - 1). Let v = 73 + j. What is the remainder when v is divided by 14?
13
Suppose -2*p + 4*p - 142 = 0. What is the remainder when p is divided by 5/(60/(-126))*84/(-49)?
17
Suppose 3*h - h + 4*n = 400, 0 = -5*h - n + 964. Calculate the remainder when h is divided by 39.
36
Let l = 244 + -216. What is the remainder when 53 is divided by l?
25
Suppose -m = -4, 2*m + 8 = 3*b + 28. Let n = 5 - b. Calculate the remainder when 25 is divided by n.
7
Suppose -3*n + 79 - 7 = 0. What is the remainder when 71 is divided by n?
23
Suppose 3*j - 99 = 3*w - 27, -w - 28 = -3*j. Let a = -11 - w. Calculate the remainder when a is divided by 4.
3
Suppose 0 = 4*s - 5*a - 183, 0*s = 3*s + 5*a - 146. Calculate the remainder when s is divided by 5/(-2)*10*-1.
22
Suppose 149 = 3*c + 32. Calculate the remainder when 232 is divided by c.
37
Let s(v) = -2*v + 3. Let l be s(3). Let b(m) = m**3 + 7*m**2 + 5*m + 3. What is the remainder when b(l) is divided by 9?
6
What is the remainder when 2*(3/(-3) + 3) is divided by 3?
1
Let c(a) = a + 10. Suppose 5*g = -3*s - 13, 2*s - 3 = 5*g - 6*g. What is the remainder when s is divided by c(-8)?
0
Let k(v) = v**3 + 10*v**2 - 2*v + 7. Let a(i) = -i**2 - 11*i + 10. Calculate the remainder when k(-10) is divided by a(-11).
7
Suppose x = 2*j + 1, 5*j = -3*x + 4 - 1. Let i be 1 + (j - (2 - 3)). Suppose -2*q + 3*k + 0 = -i, q + 4 = 4*k. What is the remainder when q is divided by 3?
1
Let m = 103 - 3. Suppose 2*v = -2*v + m. What is the remainder when v is divided by (12/1 - 3) + 4?
12
Let w = 10 - 5. Suppose -3*t + 7 + w = 0. What is the remainder when ((-4)/(-6))/((-2)/(-18)) is divided by t?
2
Suppose -104 = -2*i - 2*i. Let u(t) = -t + 15. Let s be u(0). Suppose 47 = 3*c - 5*j, 0*j - 3*j = 3*c - s. What is the remainder when i is divided by c?
8
What is the remainder when 47 is divided by (4/10)/(-1 + 186/180)?
11
Let r(z) = -z**2 - 8*z - 1. Let s be r(-5). Suppose 4*c - 8*c - 28 = 0. Let w = s + c. What is the remainder when 19 is divided by w?
5
Suppose -k + 3*k - 8 = 0. Let w = k - -15. What is the remainder when w is divided by 7?
5
Suppose d - 78 = 5*z, 3*z + 296 = 5*d - 116. Let i = 19 - -2. What is the remainder when d is divided by i?
20
Let c(b) = -b**3 + b**2 + b - 4. What is the remainder when c(-3) is divided by 16?
13
Suppose -2*y - 3*y + 72 = -2*t, y - 17 = 3*t. Calculate the remainder when 54 is divided by y.
12
Let h(b) = b**2 + 9*b + 15. Calculate the remainder when h(-11) is divided by 13.
11
Suppose 62 + 28 = 3*z. Suppose -69 = -0*p - 3*p. Suppose 3*v - p = -0*r - 5*r, -2*r = -4*v + 74. What is the remainder when z is divided by v?
14
Let r = -5 + 5. Suppose b + r*b = 2. What is the remainder when 4 is divided by b?
0
Let f be 1*3/1*1. Suppose 0*x = f*x - 162. What is the remainder when x is divided by 14?
12
Let v = 12 - 0. Suppose -4*k = -2*g + 7 + 1, g = -5*k - 3. Suppose g*t - 34 = -5*b, t - 3*b + 1 = -b. Calculate the remainder when v is divided by t.
5
Suppose 2*i = 19 + 15. What is the remainder when 50 is divided by i?
16
Let t be 3/(-6)*(0 - 24). Let x = 5 - t. Let n = 19 + x. Calculate the remainder when n is divided by 7.
5
What is the remainder when 5 is divided by -6 - -3 - (-7 - 0)?
1
Let a be 1/6 + 123/18. Suppose a*l - 5 = 2*l. What is the remainder when 2 is divided by l?
0
Let s be (-3)/(1*-3) + 1. Suppose 0 = -s*x + 14 + 60. Suppose -u = -5*c + x - 2, -3*c + 39 = 3*u. Calculate the remainder when 21 is divided by c.
5
Let g(y) be the third derivative of y**5/60 + y**4/8 - y**3/6 + 2*y**2. Let l be g(-3). Calculate the remainder when (-70)/(-5) - (l + 0) is divided by 8.
7
Let g = 70 - 8. What is the remainder when g is divided by 16?
14
Let u(z) = 8*z**2 + z. Calculate the remainder when 34 is divided by u(1).
7
Suppose 6*m = m. Suppose 0 = -m*c - 5*c - 10. Calculate the remainder when 1 + -1 - c - -18 is divided by 11.
9
Let s = -105 + 155. Let x(a) = a**3 - 8*a**2 - 6*a - 10. Calculate the remainder when s is divided by x(9).
16
Let x = -50 + 74. Let r(w) = w**3 - 5*w**2 - 2*w. Let n be r(5). What is the remainder when x is divided by (-150)/n + -2*1?
11
Let p(o) be the first derivative of -o**4/4 + 2*o**3 + 4*o**2 + 3*o - 3. What is the remainder when 18 is divided by p(7)?
8
Suppose 4*k + 19 = 55. Calculate the remainder when 16 is divided by k.
7
What is the remainder when 58 is divided by (-4)/((-40)/105) - (-3)/2?
10
Suppose -16 = 2*n + 4*b, -n - 4*b = b + 5. Let v(t) = t**3 + 9*t**2 -