ulate the remainder when g(j) is divided by 7.
6
Let g(v) be the third derivative of -v**6/120 - 3*v**5/20 - v**4/8 - 3*v**2. What is the remainder when g(-9) is divided by 8?
3
Let i(y) = -4*y - 6. Let s be (-2)/(-3 + (-14)/(-4)). What is the remainder when -2*(21/(-2) - -1) is divided by i(s)?
9
Suppose 3*d + 24 = 6*d. Let w(g) = 2*g - 5. What is the remainder when 30 is divided by w(d)?
8
Suppose -a = h - 9, 3*a - 5*a + 3 = -h. Calculate the remainder when 8 is divided by a.
0
Suppose 0 = -43*d + 41*d + 8. Let s = 20 - 5. Calculate the remainder when s is divided by d.
3
Let d(z) = 53*z**2 + z + 1. Suppose -4*p = 4*t - 12 - 72, -4*t - 78 = -5*p. Calculate the remainder when d(-1) is divided by p.
17
Suppose 12 = -5*q + 32. Suppose -q*c = 5*a - 99, 9*c - 72 = -4*a + 4*c. What is the remainder when a is divided by 8?
7
Suppose -5*g = 104 + 116. What is the remainder when 22 is divided by (-1)/(-2) - g/8?
4
Let v be (0 + -1 + 132)/1. Suppose v = 3*c - 82. Calculate the remainder when c is divided by 18.
17
Let g(r) = -9*r + 9. Let j be g(5). Calculate the remainder when j/(7/(-2) - -3) is divided by 15.
12
Suppose -5*k = -9*p + 4*p + 105, 2*p + 2*k - 30 = 0. Calculate the remainder when 142 is divided by p.
16
Let p = -27 - -29. What is the remainder when (-4 + 2)/((-2)/3) is divided by p?
1
Suppose 133 = -3*f + 10*f. What is the remainder when 34 is divided by f?
15
Let x(g) = -g**3 + 9*g**2 - 7*g + 9. What is the remainder when 66 is divided by x(8)?
15
Let q = 41 + 6. Calculate the remainder when q is divided by 16.
15
Suppose 0 = 2*g - 4*x - 30, 0 = -3*g - g + 4*x + 44. Suppose 71 = 5*a + p, 2*p + 47 = 3*a + g*p. Calculate the remainder when a is divided by 4.
2
Let l = 10 - -3. What is the remainder when 49 is divided by l?
10
Let x = 135 + -43. Calculate the remainder when x is divided by 19.
16
Suppose 9*j = 5*j + 4. Suppose -j - 4 = -x. Suppose x = i - 0. What is the remainder when 8 is divided by i?
3
Let f = 11 - 16. Let x(j) = -j**3 - 6*j**2 - 5*j + 3. What is the remainder when 6 is divided by x(f)?
0
What is the remainder when 173 is divided by 4/(-8) + 0 - (-23)/2?
8
Let r(s) = -2*s + 78. Let k be r(0). Suppose k = -3*a + 261. Calculate the remainder when a is divided by 16.
13
Let g(i) be the second derivative of i**5/20 + 7*i**4/12 + i**3 + 3*i**2/2 - 2*i. Let o be g(-6). Calculate the remainder when 5 is divided by (-2)/(-1 + 1/o).
2
Let u(y) = 6*y**2 - 5. What is the remainder when u(-2) is divided by 10?
9
Let n(l) = -l**2 + 20*l + 32. What is the remainder when n(17) is divided by 21?
20
Let z(r) = 5*r**3 + 3*r**2 - 3*r + 2. Calculate the remainder when z(2) is divided by 13.
9
Let p(a) = 12*a - 2. What is the remainder when p(3) is divided by 24/6 + 0 + 8?
10
Suppose 0 = -2*u - 3 + 23. Calculate the remainder when 18 is divided by u.
8
Let i be 148/5 + 12/30. Suppose -b - i = -4*k + 18, -5*k - 3*b = -60. What is the remainder when 43 is divided by k?
7
Let u(q) be the third derivative of q**4/12 + q**3/3 + q**2. Let x = 118 + -78. What is the remainder when x is divided by u(6)?
12
Suppose t + 0*t = -5*f + 7, 4 = -4*f. Calculate the remainder when 47 is divided by t.
11
Let v = -17 + 28. What is the remainder when 41 is divided by v?
8
Let q = -16 + 55. What is the remainder when q is divided by 14?
11
Let z(k) = -20*k. Let y be z(1). Let b be (334/(-4))/((-2)/y). Calculate the remainder when b/(-20) + 6/(-8) is divided by 14.
13
Let w(v) = 2*v - 1. Let q(y) = y. Let f(m) = -7*q(m) + 3*w(m). Suppose 3*h - 11 = -32. What is the remainder when 10 is divided by f(h)?
2
Suppose 3*h + 3*p - 48 = 0, 3*h + 5*p - 25 = 29. What is the remainder when 15*(26/10 + -1) is divided by h?
11
Let b = -4 + 30. Let f be (12/10)/(1/(-10)). Let h = f + 21. Calculate the remainder when b is divided by h.
8
Suppose -11 = 2*f - 41. What is the remainder when f is divided by 9?
6
Suppose -40 = -2*x + 4. What is the remainder when 41 is divided by x?
19
What is the remainder when 37 is divided by (-5)/(-30) + 59/6?
7
Suppose -m - 5 + 56 = 0. What is the remainder when m is divided by 13?
12
Let a(o) = -2*o - 2 + 2*o**2 + 4 - 3 - o**2. What is the remainder when 4 is divided by a(3)?
0
Let f = 3 - -1. Suppose -5*y - 17 = -2*t, -y + 0*y + 45 = f*t. Suppose -2*n = -3*b + n + 84, 3*b - 2*n = 88. Calculate the remainder when b is divided by t.
10
Let r(y) be the first derivative of y**3/3 + y**2/2 - y + 10. Calculate the remainder when r(-3) is divided by 2.
1
What is the remainder when (-6)/(-4)*24*6/12 is divided by 6 - (-2)/((-4)/(-2))?
4
Suppose 4*w + 17 = -2*n + 43, 3*n - 49 = -w. What is the remainder when 50 is divided by n?
16
Let l = -57 - -39. Calculate the remainder when 46 is divided by 1/1*-2 - l.
14
Suppose -3*l = 5*c, -3*c - 2*l = 1 - 0. Suppose 3*z = -4*r + 17, c*r + r = -5*z + 15. Let u = 4 + 3. What is the remainder when u is divided by r?
2
Let w(z) = 3*z**2 - 41*z + 23. Calculate the remainder when w(14) is divided by 8.
5
Suppose -5*z = -3*s + 91, 2*s - 2*z + 19 = 77. Suppose -2*c - 3*c = -50. What is the remainder when s is divided by c?
7
Let c(v) = -2*v**3 - v**2 + 2*v - 1. Suppose -2*d - 2 = -4. Let i be c(d). What is the remainder when 30 is divided by (24/6)/((-1)/i)?
6
Let b(o) = -o - 6. Let t be b(-6). Suppose t = -5*y - n - 7, 0 = -3*y - 4*n + 9 - 3. Calculate the remainder when (y/(-6))/((-3)/(-279)) is divided by 16.
15
What is the remainder when 34 is divided by 1/(-4) - (-294)/24?
10
Calculate the remainder when 114/(-15)*(-25)/10 - -1 is divided by 7.
6
Let r = 15 + -18. Calculate the remainder when r - (-48 - (2 + -3)) is divided by 15.
14
Let q = -41 - -52. Calculate the remainder when 54 is divided by q.
10
Let v(d) = -d**3 + 12*d**2 + 13*d + 5. Let k be v(13). Suppose 2*c - 31 = -b, -3*b - k = -4*b. Calculate the remainder when 37 is divided by c.
11
Suppose i + 2*z + 1 = 39, -4*i = 5*z - 161. Suppose 12*y - 7*y = 55. What is the remainder when (-3)/1 + 1 + i is divided by y?
9
Suppose -16 = 2*t - 30. Suppose 4*s - 96 = 5*l, 0 = -3*s - 2*l - 3*l + 37. What is the remainder when s is divided by t?
5
Let p = 7 + -3. Suppose 5*g + 4*a + a - 5 = 0, 5*g = 4*a - 31. Let x(h) = -h**2 - 5*h - 3. Calculate the remainder when p is divided by x(g).
1
Let t(c) = -c**2 - 4*c + 5 + c**3 - 5*c + 8*c**2. What is the remainder when 24 is divided by t(-8)?
11
Let s = 1 - -7. Suppose 465 + 635 = 5*o. What is the remainder when (o/(-30))/((-1)/3) is divided by s?
6
Let l be 2/(6/15 - 0). Suppose 57 + 38 = l*u. Let g(p) = 5*p. Calculate the remainder when u is divided by g(2).
9
Suppose -v - 3*r = -37, 2*v + 7*r = 3*r + 80. Let x = v + -20. What is the remainder when x is divided by (-29)/(-2) + 2/(-4)?
12
Suppose -20*u = -19*u - 4. Suppose 2*c = -u*v + 90, -v + 18 = -0*c - c. What is the remainder when 41 is divided by v?
20
Let f = 132 + -92. Calculate the remainder when f is divided by 14.
12
Let p be -4 + 6 + -4 - -9. Let v(q) = q**3 - 6*q**2 - 3*q. What is the remainder when v(p) is divided by 5?
3
Suppose -21 = -v + 4. What is the remainder when v is divided by 7?
4
Let o = -128 + 192. Suppose 0 = h - 1 - o. Calculate the remainder when h is divided by 22.
21
Suppose 3*i - 4*x + 33 = -54, 0 = 2*i - 5*x + 65. Let j = i + 43. Calculate the remainder when j is divided by 7.
4
Let m = -33 - -57. Let f = m - 15. What is the remainder when f is divided by 5?
4
Suppose 3*q + 3*g = -q + 44, -g = 3*q - 28. Let w(t) = t**2 - 10. Calculate the remainder when w(q) is divided by 14.
12
Suppose 2*q + 76 = 4*q. Let x(v) = -v**2 + v + 13. What is the remainder when q is divided by x(0)?
12
Let f(x) = -2*x**3 - x**2 - 6*x + 2. Calculate the remainder when f(-3) is divided by 17.
14
Suppose 50 = 4*r - 9*r - 5*x, -75 = 4*r - 3*x. Suppose -5*m = -58 - 37. Calculate the remainder when m is divided by (r/(-2))/((-21)/(-28)).
9
Suppose -m - 2*n = 4*m + 10, 2*n = -10. Suppose -5*f - 21 + 116 = m. Calculate the remainder when 74 is divided by f.
17
Let h(b) = 14*b**2 - 18*b**2 + 21*b**2. What is the remainder when h(-1) is divided by 5?
2
Suppose 88 = 2*k + 18. Suppose -4*i + p + k = 0, 2*p + 1 - 21 = -2*i. What is the remainder when i is divided by 4?
1
Suppose 126*v - 124*v = 152. Calculate the remainder when v is divided by 26.
24
Let t(c) = -c**