s divided by 2.
1
Let w be 23/7 - (-14)/(-49). Suppose -3*h = 16 - 82. Suppose -c + w*c = h. What is the remainder when 20 is divided by c?
9
Let r(n) be the second derivative of -9*n**5/20 - n**4/6 + n**2/2 - 3*n. Calculate the remainder when -2 - 25*(-2)/2 is divided by r(-1).
7
Let n(t) = -t**3 + 4*t**2 - 2*t - 2. Let k be n(2). Suppose 3*f + k = 8. What is the remainder when f is divided by 1?
0
Suppose -2*m - 3*m + 45 = 0. Suppose -m + 104 = 5*n. What is the remainder when 55 is divided by n?
17
Let q(s) = s**2 + 2. Let k be q(0). Let i(p) = -k*p + 8 + p + 7. What is the remainder when 29 is divided by i(0)?
14
Let v = -11 + 39. Let r = v + -23. What is the remainder when 8 is divided by r?
3
Let x = 36 - 22. What is the remainder when 123 is divided by x?
11
Let u = -40 - -56. Calculate the remainder when 40 is divided by u.
8
Suppose -4*v = 10 + 6. Let l = v - -6. Suppose 0 = h + 5*q - 25, -7*q = -l*q - 5. Calculate the remainder when h is divided by 11.
9
Let c = 20 + -13. What is the remainder when 19 is divided by c?
5
Let j be 0/(-1) - (1 + 8). Let s be (1/3)/((-9)/81). Let r = s - j. What is the remainder when 16 is divided by r?
4
Let i = 972 + -672. Suppose -i = -4*w - 4*h, 1 - 67 = -w + 2*h. Suppose j - w = -3*j. What is the remainder when 52 is divided by j?
16
Let c(f) = 6*f + 4. Calculate the remainder when 109 is divided by c(4).
25
Suppose 3*q + q = 136. What is the remainder when q is divided by 7?
6
Suppose -34 = -2*n + 6. What is the remainder when n is divided by 12?
8
Let p(j) = 9*j**3 + j**2. Let t(r) = r**2 - 3*r. Calculate the remainder when t(-3) is divided by p(1).
8
What is the remainder when 90 is divided by 6/39 + (-802)/(-26)?
28
Let g(r) = r**3 - 2*r**2 - 5*r + 3. Suppose 2*k = -35 + 183. What is the remainder when k is divided by g(4)?
14
Let s(m) = -m**2 - m + 3. Let p = 5 + -5. Suppose -5*o + 5*x = -30, -5*o + x + 37 = 3*x. Calculate the remainder when o is divided by s(p).
1
Suppose t + 0*n + 60 = 3*n, 4*t + 305 = -n. Let p = -47 - t. What is the remainder when p is divided by 10?
8
Suppose 5*a + 0*a = 50. What is the remainder when 17 is divided by a?
7
Calculate the remainder when ((-549)/36)/((-2)/8) is divided by 32.
29
Suppose -8*j + 5*m = -4*j - 35, 25 = j + 2*m. Calculate the remainder when 23 is divided by j.
8
Suppose 5*n - 33 = 2*k, 2*k - 6*k + 2*n = 42. Let d = 12 + k. Calculate the remainder when 4 is divided by d.
1
Let g(v) = 2*v**2 + 2*v + 4. Calculate the remainder when ((-6)/(-4)*18)/((-5)/(-10)) is divided by g(3).
26
Let z(m) be the third derivative of -m**6/120 - m**5/12 - m**4/6 + 2*m**3/3 + m**2. Suppose -8 = -d + 5. What is the remainder when z(-5) is divided by d?
11
Let n be 2/(-5) + 65/(-25). Let q(r) = r**2 + 2*r + 2. What is the remainder when q(n) is divided by 2?
1
Let n(s) = s**3 + 6*s**2 - 5*s - 6*s + 4*s - 8. Calculate the remainder when n(-6) is divided by 19.
15
Suppose -15 = -s - 2*s. Let k = 3 + -7. What is the remainder when (k/(-6))/(5/60) is divided by s?
3
Let k = -1 - -4. Suppose -c + 0*c = -k. What is the remainder when 85/10 - (-2)/(-4) is divided by c?
2
Let y = -2 - -6. Let o = y + 8. What is the remainder when 45 is divided by o?
9
Let g(t) = 16*t**2 + 2*t - 1. Calculate the remainder when -96*(13/(-2) - -6) is divided by g(1).
14
Let u(r) = -11*r**3 + 4*r**2 + 4*r - 5. Let y(g) = 10*g**3 - 3*g**2 - 3*g + 4. Let b(i) = 3*u(i) + 4*y(i). What is the remainder when 23 is divided by b(1)?
7
Suppose -3*m = n - 4, -m - 2*n = -0*m + 2. Let g(i) = 6*i - 7. What is the remainder when 6 is divided by g(m)?
1
Suppose -20 = -3*h - 110. Let p = 51 + h. Calculate the remainder when 41 is divided by p.
20
Suppose 6*z - 4*z = 28. Let l(n) = -20*n. What is the remainder when l(-2) is divided by z?
12
Let i = 35 + 27. Let d(o) = 15*o**2 + 2*o + 3. Calculate the remainder when i is divided by d(-1).
14
Let w = 2 - -9. What is the remainder when w is divided by 6?
5
Let j = 5 + -4. Let h be 0 + -11 + 0/j. Let v = h + 39. What is the remainder when v is divided by 15?
13
Let w(h) = 7*h - 10. Calculate the remainder when 51 is divided by w(3).
7
Let s = -4 - -6. Suppose -s*b = -3*b + 42. Suppose 5*m + b = 132. What is the remainder when m is divided by 5?
3
Let q = -232 - -371. Calculate the remainder when q is divided by 35.
34
Let b = 3 - 1. Suppose -3*m + b = -v + 2*m, 5*v + m = 16. Suppose -2*p = v*p - 10. Calculate the remainder when p is divided by 1.
0
Let u(p) = -p**2 - 20*p - 47. Suppose -m = -0*m + 3*k - 12, -3*m - 3*k + 24 = 0. Calculate the remainder when u(-16) is divided by m.
5
Let x(i) = -33*i**3 - i**2 - 2*i - 1. What is the remainder when x(-1) is divided by 12?
9
Suppose -i = 0, l + 4*i - 38 = 4. Suppose 19 = -3*b + 64. What is the remainder when l is divided by b?
12
Let r = 21 - 7. Calculate the remainder when 55 is divided by r.
13
Suppose 4*c - 215 = -27. Suppose -c = -3*r + 37. Let f = -17 + r. Calculate the remainder when 21 is divided by f.
10
Suppose 0 = f + 4*f - 40. What is the remainder when 26 is divided by f?
2
Calculate the remainder when 47 is divided by 1/(-5) - 732/(-60).
11
Let f(u) be the second derivative of u**4/8 - u**3/6 - u**2 - 3*u. Let k(s) be the first derivative of f(s). What is the remainder when k(5) is divided by 8?
6
Let m(o) = -6 - 4*o - 2*o - 7*o**2 + 9*o**2. What is the remainder when m(-4) is divided by 17?
16
Let z(g) be the third derivative of g**4/8 - 2*g**3/3 - 25*g**2. Let x be (-1)/(8/10 - 1). Calculate the remainder when 21 is divided by z(x).
10
Let v(q) = 12*q - 15. Calculate the remainder when v(6) is divided by 20.
17
Suppose -6*x = -11*x + 60. Let s = -5 - -10. What is the remainder when s*(34/10 - -1) is divided by x?
10
Suppose 27 + 45 = 2*i. Suppose 0 = -d + 8 + 5. Calculate the remainder when i is divided by d.
10
Let f = 74 - 30. Calculate the remainder when f is divided by 23.
21
Suppose 0 = -h - 3 + 7. Suppose -h*r - 100 = -9*r. Suppose 0 = j + j - r. What is the remainder when j is divided by 4?
2
Let f(y) = -2*y + 3. Let g be f(-6). Calculate the remainder when (-6)/g - (-247)/5 is divided by 17.
15
Suppose 6*m - m = 10. Let v be (-1)/(1 - 10/12). Calculate the remainder when ((-6)/(-4))/(-3)*v is divided by m.
1
Let y(l) = l**3 - 2*l**2 + 2*l - 7. Calculate the remainder when y(4) is divided by 17.
16
Suppose l - 5*l - 4 = 0. Let h = 3 - l. Suppose h*w = 3*i - 5 + 13, 3*w - 4*i + 1 = 0. What is the remainder when 9 is divided by w?
4
Let i(t) = 4*t + 4. Let a be i(4). Suppose 0 = -0*b + 2*b - a. What is the remainder when 18 is divided by b?
8
Suppose d + 0 - 8 = 3*m, 5*d + m = 8. Let h be (-546)/10 + d/(-5). Calculate the remainder when (h/(-10))/(1/4) is divided by 8.
6
Suppose 2*h = h, 2*x - 4 = -4*h. Calculate the remainder when x is divided by 1.
0
Let g be 0 + (-3)/(-1) + 0. Suppose 3*n - 50 = -m, 126 = 4*m - 4*n - 10. Calculate the remainder when m is divided by -10*(g + -1)/(-2).
8
Let n = 14 + -12. Suppose a - 1 = 5*o + 29, -n*a + 5*o + 75 = 0. What is the remainder when a is divided by 16?
13
Suppose 94 = 3*x - 125. Calculate the remainder when x is divided by 19.
16
Suppose 3*y - 16 = 2*s + 2*s, 3*y = -4*s + 8. Let l(g) = -g**2 + 10*g - 3. Calculate the remainder when l(9) is divided by y.
2
Suppose -2*j - 3*p + 26 = 2*p, -2*j - 3*p = -30. Calculate the remainder when j is divided by 7.
4
Let g = 28 - -5. What is the remainder when 130 is divided by g?
31
Let b = 31 + 154. What is the remainder when ((-16)/(-20))/(2/b) is divided by 25?
24
Let j = 198 - 158. What is the remainder when 278 is divided by j?
38
Calculate the remainder when 72 - (-2 - -5 - (-2 - -5)) is divided by 15.
12
Let k(u) = u**3 + 7*u**2 - 2*u - 3. Suppose 0 = -2*l + l + 2*g - 5, 3*g + 6 = -3*l. What is the remainder when k(l) is divided by 10?
9
Suppose -x + 2*s + 17 = -0*s, -3*s = x - 37. What is the remainder when 47 is divided by x?
22
Let h(k) = -k. Let d be h(-5). Let z(m) = 3*m. Suppose -2*y = -0*v + 2*v - 46, -v = -3*y + 89. Calculate the remainder when y is divided by z(d).
13
Let j(q) = -q + 3*q**2 - 1 - q**2 - q - q**2. Let r be j(2). What is the remainder when 19 - (r + 2)*-1 is divided by 7?
6
What is the remainder when 29 + (4 + -2 - 3) is divided by 8?
4
Suppose 3*w = -w - 5*g + 172, -5*w = -4*g - 174. L