 30 = -n. Calculate the remainder when n is divided by 10.
9
Let z = 1 - 6. Let h = 10 - z. What is the remainder when 43 is divided by h?
13
Suppose -3*y + 60 = -0*y. What is the remainder when 34 is divided by y?
14
Let z(o) be the second derivative of -5*o**3/6 - 3*o**2 + 4*o. What is the remainder when 27 is divided by z(-4)?
13
Let t = -49 + 158. What is the remainder when t is divided by 11?
10
Let c = -5 - -3. Calculate the remainder when 58 is divided by (-15 + 5)/(c/4).
18
Suppose 14*w + 3 = 15*w. What is the remainder when 18 is divided by (-7)/(-1) + (6 - w)?
8
Suppose -3*t + 129 = 5*s, 3*t = -4*s + 15 + 90. Calculate the remainder when s is divided by 9.
6
Let n = 146 - 94. What is the remainder when 259 is divided by n?
51
Let d(y) = -4*y + 7. Let r(n) = -1. Let c(x) = 4*d(x) + 28*r(x). Suppose -1 - 3 = 4*k. What is the remainder when c(k) is divided by 9?
7
Let w(i) = -i + 2. Suppose -8 = -2*o + z - 3, 2*z = -3*o + 18. Suppose u = -m - 15, -7 = -o*u + 4*m - 43. Calculate the remainder when 25 is divided by w(u).
11
Suppose -3*x = -x + 14. Let a = x + 12. Suppose -5*t + 15 = 4*o, -10 = -2*t - 3*o - 4. What is the remainder when a is divided by t?
2
Suppose 3*i - 3*x - 84 = 0, -2*i + 4*x + 50 + 0 = 0. What is the remainder when 91 is divided by i?
29
Let j(m) = 6*m - 1. Let v be j(-5). Let p = -6 - v. What is the remainder when p is divided by 13?
12
Suppose -2*i - 2*i + 222 = 5*f, -2*f = 5*i - 286. Calculate the remainder when i is divided by 15.
13
Suppose 0 = x - 2*d - 2, -x = -0*x + 4*d - 8. Suppose l + x - 102 = 0. Let r = l - 40. What is the remainder when r is divided by 20?
18
Let c = 4 + -2. Suppose -c*h + 108 = m, 0 = -h - h + 2*m + 96. What is the remainder when h is divided by 18?
16
Let d be (-8)/(-14) - 3408/(-14). Suppose 4*j + d = 4*b - 0*j, b = -3*j + 53. Calculate the remainder when b is divided by 15.
14
Let n = 4 + -2. Suppose n*i = t - 8, -4*i = -5*t - 0*i + 58. What is the remainder when 27 is divided by t?
13
Suppose -q = -4*q. Suppose q = -2*g + 6*g - 132. Let v = 13 - -4. What is the remainder when g is divided by v?
16
Let l = 18 - 13. Suppose 5*k = -2*j + 4, l*k + j = -0 + 2. Let n = 1 + k. Calculate the remainder when 2 is divided by n.
0
Let d = -29 - -58. What is the remainder when 84 is divided by d?
26
Let p(v) = -v**2 + 4*v + 13. Calculate the remainder when 18 is divided by p(0).
5
Suppose -5*h + 121 = -4*m, -h - 3*m - 54 = -3*h. What is the remainder when h is divided by 6?
3
Let i = -21 + 39. Calculate the remainder when i is divided by 5.
3
Let u(j) = j + 2. Calculate the remainder when (-1 + 4)*(-44)/(-6) is divided by u(6).
6
Let u(r) = 2*r**2 - 11*r + 4. Calculate the remainder when u(10) is divided by 33.
28
Let o = 35 - -14. Let z be 2/7 + 1211/o. Let w = z - 4. Calculate the remainder when w is divided by 11.
10
Suppose v - 1 = 37. What is the remainder when 150 is divided by v?
36
Let m be ((-12)/(-10))/(12/40). Suppose -11 = -m*l - 3. Suppose 4 - 7 = -y, 25 = 4*x - y. What is the remainder when x is divided by l?
1
Suppose -37 = -2*f + 77. What is the remainder when f is divided by 10*(-5)/((-5)/2)?
17
Suppose 35 = 2*n + 9. Calculate the remainder when 23 is divided by n.
10
Let g(x) = -x + 5. Let v be g(7). Let y be 1 + (-3)/3*v. Suppose 0 = -0*n + 5*n + 5*h - 200, 2*h = -y*n + 118. Calculate the remainder when n is divided by 20.
18
Let u = 8 - 2. Calculate the remainder when 15 is divided by u.
3
Suppose -o - 7 + 3 = 0. Let j(z) = 5*z + 1. Calculate the remainder when j(1) is divided by (-4)/(-4 + 7 + o).
2
Let b(v) be the second derivative of -v**5/20 + v**4/2 + 3*v**3/2 - 3*v**2 + 2*v. Let u be b(7). Let n = 2 + u. What is the remainder when 29 is divided by n?
9
Let m be (66/3)/(4 - 2). Suppose 0 = 6*r - m*r + 15. Calculate the remainder when 6 is divided by r.
0
Suppose -2*v - 3*v = 0. Suppose v = w + 2*w - 4*q - 117, q = -5*w + 172. Suppose 0*k + 60 = 5*k. What is the remainder when w is divided by k?
11
Let v = -8 + 21. What is the remainder when 24 is divided by v?
11
Suppose 3*i - i + 35 = 5*y, 5*y = 5*i + 20. Calculate the remainder when 26 is divided by y.
8
Let g(x) = -x - 3. Let j be g(-7). Suppose j*i + 0*i = 88. Calculate the remainder when i is divided by 12.
10
Let a = -7 - -38. What is the remainder when a is divided by 16?
15
Calculate the remainder when 1*1*(73 - 2) is divided by 24.
23
Suppose -3*g + 13 = 1. What is the remainder when (g/(-6))/((-1)/72) is divided by 13?
9
Let q(s) be the second derivative of -s + 0 + 3/2*s**2 - 1/6*s**3. What is the remainder when 28 is divided by q(-7)?
8
Let v(y) = y**3 - 2*y + 2. Let x be v(2). Suppose 31 - 100 = -3*n. What is the remainder when 269/4 + x/8 is divided by n?
22
Let v = -22 - -48. What is the remainder when v is divided by (0 + -14)*(0 - 1)?
12
Let y = -14 - -8. Let w(f) = f**3 + 6*f**2 - f - 1. Calculate the remainder when 9 is divided by w(y).
4
Suppose -3*g = 9, 2*j - 4*g - 77 = g. Suppose 270 = 4*o + 26. Calculate the remainder when o is divided by j.
30
Let i(o) = -2*o**2 + 16*o + 5. Let b(c) = -c**3 + 8*c**2 - 6*c + 3. Let u be 0 - 2 - (-1 + -8). What is the remainder when i(7) is divided by b(u)?
9
Let c be ((-6)/(-9))/((-1)/(-60)). Suppose 6*k - k - c = 0. What is the remainder when 14 is divided by k?
6
Let q = -68 - -73. What is the remainder when q is divided by 2?
1
Let q(m) = 3 - 3*m**2 + 0 + 4*m**2 - 4*m. What is the remainder when 4 - 1 - (-2 + 1) is divided by q(4)?
1
Let p(w) = -5*w**3 + 4*w**2 - 4. Let c be p(3). Let n = -50 + -16. Let m = n - c. Calculate the remainder when m is divided by 10.
7
Let y(v) = -2*v**2 - 5*v - 13. Let p(h) = h**2 + 2*h + 7. Let d(a) = 7*p(a) + 3*y(a). Calculate the remainder when 19 is divided by d(0).
9
Calculate the remainder when 27/(-63) + (-282)/(-21) is divided by 4.
1
Suppose -5*p = -2*q - 11, p + 5*q = 10 + 3. Suppose -22 = -p*a - 4. Let s(l) = 12*l**3 - l**2 - l + 1. What is the remainder when s(1) is divided by a?
5
Suppose 4*o - 7 - 13 = 0. Suppose -k + o*k - 20 = 0. Calculate the remainder when 9 is divided by k.
4
Let x = 2 - -6. Suppose -x - 7 = -g. Let t = 27 - -2. Calculate the remainder when t is divided by g.
14
Calculate the remainder when 51/(-6)*(-1 + 3 - 4) is divided by 4.
1
Let s(m) = -4*m - 13. Calculate the remainder when s(-7) is divided by 9.
6
Let o(b) = 3*b - b**2 - 2*b + 7 + 5*b. Let d be o(7). Suppose -5*g + 2*i = -34, d = -i - 3*i - 8. What is the remainder when 10 is divided by g?
4
Let f = -117 - -159. What is the remainder when f is divided by 4*-11*(-2)/8?
9
Suppose 3*r = 29 + 55. Calculate the remainder when r is divided by 11.
6
Let i = -40 + 66. Let u = i + -17. Calculate the remainder when 2 - 3*3/u is divided by 1.
0
Let v(z) = z - 1. Calculate the remainder when 34 is divided by v(10).
7
Let w = 96 - 11. What is the remainder when w is divided by 11?
8
Let s(h) = 5*h**2 + 2*h + 2. Let q(k) = -2*k - 1. Let o be q(1). What is the remainder when s(o) is divided by 11?
8
Let y(w) be the first derivative of -w**3/3 - 5*w**2/2 - 2*w + 4. Calculate the remainder when y(-4) is divided by 2.
0
Let k(i) = i**3 + 8*i**2 - 7*i - 9. Let n be k(-9). Let y be (-5 + 3)/((-1)/2). Let l = y - n. What is the remainder when l is divided by 17?
14
Suppose 4*o - 20 + 0 = 0. Suppose -d + 10 + 8 = 5*y, 5*d - o*y = 0. What is the remainder when 4 is divided by d?
1
Let l(a) = 7*a - 2. Suppose -5*w + 91 = 2*h, 0 = -3*w + h + 38 + 10. What is the remainder when l(5) is divided by w?
16
Suppose -5*m - 20 = -110. Calculate the remainder when 23 is divided by (-9)/1*m/(-27).
5
Let r(i) = -12*i**3 - 2*i**2 - i. Suppose -o - 5 = 1. Let w be 10/o + (-2)/(-3). What is the remainder when 31 is divided by r(w)?
9
Suppose 0 = 3*x + 2*a + 22, -3 = a - 7. Let n = 28 + x. Calculate the remainder when (0 - -17)*(0 + 2) is divided by n.
16
Suppose u + 1 - 5 = 0. Suppose -f - 2*f - 89 = -5*y, 5*y + u*f = 103. What is the remainder when y is divided by 10?
9
Suppose -4*j = -5*j - 9. What is the remainder when 17 is divided by (-1 - 1)/(3/j)?
5
Let m(v) be the third derivative of -7*v**4/6 + v**3/6 - 3*v**2. Let x be m(-3). Suppose -5*g + x + 25 = 0. What is the remainder when g is divided by 12?
10
Suppose -4*j + 62 = 2*o, -4*o - 2*j = -74 - 62. Let f = -19 + o.