by c.
1
Let l(n) be the third derivative of -n**6/120 + n**5/15 + n**4/12 - n**3/3 - 3*n**2. Suppose r = -3*r + 8. Calculate the remainder when 39 is divided by l(r).
9
Suppose -150 = 11*v - 14*v. Calculate the remainder when v is divided by 13.
11
Suppose 59 = 5*s + 4. Let p be 16/6*(-51)/(-4). Suppose -3*n = 9, 0*n - p = -v + n. What is the remainder when v is divided by s?
9
Let q(c) = -c**2 + 4 - 2 + 5*c - 15*c. What is the remainder when q(-8) is divided by 10?
8
Let s be (-72)/(-42) + (-2)/(-7). Calculate the remainder when 78 is divided by 11 - -11 - 1*s.
18
Let p = -144 - -244. Suppose 5*z + 20 + p = 0. Let s = z - -37. Calculate the remainder when s is divided by 7.
6
What is the remainder when 47 is divided by 12 - (4 - 0/4)?
7
Let s be ((-12)/10)/(6/(-20)). Let i be -1 - -2 - (-2 - s). Let g = 6 + i. Calculate the remainder when g is divided by 5.
3
Suppose 0 = -5*m + 3*m + 1520. Let i(y) = -4*y - 2. Let j be i(4). Calculate the remainder when (-8)/36 - m/j is divided by 22.
20
Let z(l) be the third derivative of -5*l**4/12 - l**3/6 + l**2. What is the remainder when z(-2) is divided by 10?
9
Suppose 6*x = -1 + 61. Calculate the remainder when 49 is divided by x.
9
Calculate the remainder when 1/(1/(-70)*2)*-1 is divided by 12.
11
Let r = 37 - 21. Let v = r - -4. Let x(h) = -h**2 + 5*h + 3. What is the remainder when v is divided by x(4)?
6
Let l(c) = -6*c**2 - 1. Let j be l(1). Let h(u) = u**2 + 6*u - 3. Suppose 16 - 46 = -5*v. Calculate the remainder when v is divided by h(j).
2
Let m(s) = -s + 3. Let p = 107 + -104. What is the remainder when p is divided by m(2)?
0
Suppose c - 35 = 8. Let w = -18 + c. Suppose -8*j + 3*m + 45 = -3*j, -4*m = j - 9. Calculate the remainder when w is divided by j.
7
Let a be -3 + 1 + 1 + -1. What is the remainder when (-2)/(-4) - 115/a is divided by 15?
13
Suppose -3*b - 5*j = -140, 7*j + 100 = 3*b + 2*j. Calculate the remainder when 117 is divided by b.
37
Suppose -2*y + 150 = -y. Calculate the remainder when y is divided by 38.
36
Let t(o) = o**2 - o + 20. Suppose 3 = 5*v - 17, 4*g + v = 4. Let b(i) = 8*i**2 + 2*i + 1. What is the remainder when t(g) is divided by b(-1)?
6
Let j be 2/(-6)*0/(-3). Suppose -2*z + 7*z + 5 = j. What is the remainder when (-33)/(((-9)/(-6))/z) is divided by 12?
10
Let b = 5 - 3. Let g(t) = 2 - 2*t**3 - 5*t - 7*t**b - 2. Calculate the remainder when g(-4) is divided by 19.
17
Let n = 101 + -86. What is the remainder when 58 is divided by n?
13
Suppose 4*m + 617 = 3*q, -3*q + 79 = -3*m - 539. What is the remainder when q is divided by 42?
39
Let k = 10 + -2. Let b(h) be the third derivative of 5*h**4/24 - h**3/2 + h**2. Calculate the remainder when b(5) is divided by k.
6
Suppose -4*m + w + 163 = 0, 0*m - 2*w - 166 = -4*m. Let q = m + -21. Calculate the remainder when q is divided by 7.
5
Let d = -114 + 131. What is the remainder when 152 is divided by d?
16
Suppose 11 = -2*a + 3*a. Let f(q) = -9*q - 4. Let c(x) = 1. Let d(h) = -c(h) + f(h). Calculate the remainder when d(-4) is divided by a.
9
Let o(y) = 23*y - 2. Let h be o(2). Let u = 65 - h. Let c = 25 + 37. Calculate the remainder when c is divided by u.
20
Suppose 0 = -4*q + 8. Let g(h) = h**3 - 5*h**2 + 5*h - 1. Let y be g(4). Suppose -q*c + 145 = y*c. Calculate the remainder when c is divided by 15.
14
Suppose -3*k + 2*a = -k - 8, 5*k - 3*a = 14. Let v(y) = 29*y**3 - 2*y**2 + y. Suppose -4*j - 5 = -45. Calculate the remainder when v(k) is divided by j.
8
Let b(k) = -k**3 + 7*k**2 - 6*k + 6. Suppose 19 - 4 = 3*g. Calculate the remainder when b(g) is divided by 9.
8
Suppose -386 = 2*t - 3*t. Let m be t/4 + (-3)/6. Suppose -5*s + m = -s. What is the remainder when s is divided by 13?
11
Calculate the remainder when 26 is divided by -8*6/(72/(-15)).
6
Suppose -12*x + 8*x = -36. Suppose -z - 1 + x = 0. Suppose 5*t - 25 = 0, -5*k + 2*t - 1 = -6. Calculate the remainder when z is divided by k.
2
Let z(l) = -l**3 + 2*l**2 + 7*l - 6. Let b be z(4). Let p = -1 - b. What is the remainder when (4/3)/((-2)/(-39)) is divided by p?
8
Suppose -3*a + 5*o + 72 = 0, 6*a - o = 3*a + 84. What is the remainder when a is divided by 17?
12
Suppose -26 = -4*d + 70. Suppose -5*x + 3*x = 4, -o - x + 21 = 0. Let h = o - 10. Calculate the remainder when d is divided by h.
11
Let p(v) = 12*v**2 + 4*v + 2. Let w = 13 - 16. What is the remainder when p(w) is divided by 33?
32
Let y = 110 - 88. Let u = 102 - 185. Let o = u - -126. Calculate the remainder when o is divided by y.
21
Suppose -5*w = -10 - 10. Let d be ((-12)/10)/((-9)/120). Calculate the remainder when w/d + 7/4 is divided by 2.
0
Let q(i) be the second derivative of 39*i**5/20 - i**3/6 + 2*i. Calculate the remainder when q(1) is divided by 10.
8
Let u(b) = 3*b - 3. Let v be u(-3). Let p = 7 - 24. What is the remainder when 6/v*(-1 + p) is divided by 5?
4
Suppose j + 5*z = z + 8, 3*j + 2*z = 14. Let w(l) = -l**3 + l + 6. Let o be w(0). What is the remainder when 252/24*8/o is divided by j?
2
Suppose 4*w - 3*w = 2. Suppose 4*k + w*i = 70, 2*k - 2*i - 92 = -3*k. Calculate the remainder when k is divided by 10.
8
Let n = -15 + 26. Calculate the remainder when 14 is divided by (-2)/n - 57/(-11).
4
Suppose -c + x + 17 = 2*x, -3*x = -5*c + 117. Suppose 4*s = -g + 32, 19 + 1 = 4*s. What is the remainder when c is divided by g?
9
Suppose -2*a = -10, 65 = 8*p - 3*p - 5*a. What is the remainder when 53 is divided by p?
17
Suppose -o - 4 + 3 = 4*b, 0 = -4*o + b - 4. Let v(t) = 11*t**2 - 1. Let f be v(o). Let h = -5 + f. Calculate the remainder when h is divided by 2.
1
Let h(y) = -3*y + 3. Let u(l) = -3*l**3 + 3*l - 4*l**2 + 2 + 3*l**2 + 1. What is the remainder when h(-10) is divided by u(-2)?
16
Let p(j) = j - 96. Let m be p(0). Let w be (12/36)/((-2)/(-834)). Let r = m + w. What is the remainder when r is divided by 15?
13
Let d = -8 + 12. Suppose 0 = -3*t - 12, -2*p + 6*p + 5*t - d = 0. Calculate the remainder when p is divided by 2.
0
Let d be 0 + (-3 - (-189)/3). Suppose c - d = -0*c. Let h = c - 15. What is the remainder when h is divided by 12?
9
Suppose d = 5*d - 16. Suppose d*l - 3*h = 89, 3*l + 2*h - 73 = 3*h. Suppose 0 = -3*g - 6, -3*g = 2*w - 7*g - l. What is the remainder when 25 is divided by w?
7
Let l(u) = 21*u - 3. Let x = 61 + -40. Calculate the remainder when l(4) is divided by x.
18
Let y = -31 + 62. What is the remainder when 60 is divided by y?
29
Let b = -6 + 7. Let x be ((-30)/b)/(2 - 1). Calculate the remainder when (2 - x)*(-1)/(-1) is divided by 11.
10
Suppose 0 = -4*a - 4*w + 3*w + 81, a + 3*w - 34 = 0. Suppose -3*i - b = -110, -5*i + 4*b = 3*b - 186. What is the remainder when i is divided by a?
18
Calculate the remainder when 13 is divided by ((-32)/12)/((-2)/6).
5
Let l(m) be the third derivative of m**4/6 - 4*m**3/3 + 6*m**2. What is the remainder when 30 is divided by l(6)?
14
Suppose -2*s = s, 0 = 3*h + 4*s - 42. What is the remainder when 69 is divided by h?
13
Suppose -p + 503 = 4*n, 2*p + 0*n - 3*n = 951. Suppose -2*z = -0*z - 3*h + p, -4*z + 2*h = 954. What is the remainder when 41 is divided by z/(-21) + (-4)/14?
8
Suppose -5*a = -2*a - 264. Calculate the remainder when a is divided by 18.
16
Suppose 0 = -2*r + 3*r - 61. Suppose 0 = 5*z - d - r, 59 = 5*z - 2*d + 2. What is the remainder when 24 is divided by z?
11
What is the remainder when -10 + 9 + 16 + 1 is divided by 14?
2
Suppose 0 = -v + 13 + 11. Suppose -4*p + v + 4 = 0. Let j = -5 + 8. What is the remainder when p is divided by j?
1
Let v be 5 + -4 - 0/(-1). Let a = 1 - v. Let q(w) = w + 14. Calculate the remainder when q(a) is divided by 5.
4
Let h = -15 - -1. Calculate the remainder when 648/63 + 4/h is divided by 4.
2
Suppose 0 = -0*k + 4*k - 100. Suppose -91 = -5*j + 2*i, 0 = -4*j + 3*i + 52 + k. What is the remainder when 32 is divided by j?
15
Suppose -2*c + 2 = -c. Suppose -3*d + 4*d = -12. Let g = d - -13. What is the remainder when c is divided by g?
0
Suppose i + 4*z = 23, 6*z - 3*z - 24 = -3*i. Suppose 0 = 3*p + 2*g - 367, 5*g = 2*p - i*p + 144. What is the remainder when p is divided by 30?
29
Let u(g) = 7*g + 4*g**3 + g**2 + 6*g**2 - 3*g**3 + 7. Let s be u(-6). Let q = s - -3. What is the remainder when 7 is divided by q?
3
Let r = 6 + -3. Suppose 0 = -2*p + 6*p, 4*j - 28 = r*p.