derivative of x**4/12 + x**2/2 - 8*x - 4. Let z(g) be the first derivative of q(g). What is the remainder when z(5) is divided by 15?
11
Let b(r) = -r**3 + 6*r**2 - 2*r - 5. Suppose 249 = 8*u - 127. What is the remainder when u is divided by b(5)?
7
Let f(i) = -5*i + 2. Let r = -12 + 8. Calculate the remainder when f(-6) is divided by (-2 - r)/1 - -9.
10
Let v be (3 - 0)*(11 + (8 - 16)). Suppose 5*t = 4*r + 34, -t = -r - v + 2. What is the remainder when 1*(-3)/2*-10 is divided by t?
3
Suppose -c - 2*x = -2 - 15, 3*c - 2*x = 19. What is the remainder when 20 is divided by c?
2
Calculate the remainder when (6*45/(-72))/((-6)/496) is divided by 79.
73
Suppose 259*g - 35 = 254*g. Suppose 0 = 4*p + 24 - 156. Suppose p = g*z - 4*z. What is the remainder when 21 is divided by z?
10
Let q(r) = -r**3 + 10*r**2 - 8*r - 4. Let y be q(9). Suppose -3*l - 2*c + 22 = -2*l, -y*l + 35 = -5*c. Calculate the remainder when l is divided by 4.
0
What is the remainder when (150/9)/(-4 + 38/9) is divided by 29?
17
Let i(j) = -j**3 - 6*j**2 - 2*j - 8. Let r be i(-6). Let q(z) = 11*z - 2. What is the remainder when q(5) is divided by (-55)/(-4) - r/(-16)?
11
Suppose 0 = 17*y - 2321 - 807. What is the remainder when y is divided by 59?
7
Suppose -2*j + 5*f = -25, 2*j = -0*j - f + 7. What is the remainder when 79 is divided by j?
4
Calculate the remainder when 128 is divided by ((-18)/10 + (-21)/105)*-13.
24
Suppose -3*h + 432 = 6*h. What is the remainder when h is divided by 17?
14
Suppose 4*p - 3*x = 308, -3*p - 316 = -7*p + 5*x. What is the remainder when 168 is divided by p?
20
Let k = -14 + 4. Let w = k + 17. Suppose w*x = 3*x + 56. Calculate the remainder when 54 is divided by x.
12
Calculate the remainder when 4*(-18)/24 - (1 - 19) is divided by 9.
6
Suppose r - 4*r + 480 = 0. Suppose 0 = 4*h - m - r, h = 2*m + 2*m + 40. Suppose 3*j = h + 11. What is the remainder when j is divided by 9?
8
Let i(w) = w**2 + 7*w - 161. What is the remainder when i(-26) is divided by 42?
39
Suppose 2*t + 8 = 3*o, t + 2*o = 2*t + 2. What is the remainder when 49 is divided by (-126)/t + (-8)/(-20) + -3?
9
Suppose -6*c = -110 + 92. Calculate the remainder when 33 is divided by c.
0
Suppose -3*i = -i - 3*a + 98, 0 = -2*i - 3*a - 110. Let s = -25 - i. What is the remainder when s is divided by 8?
3
Suppose -2*v + 19 + 15 = 0. Let r be 7/(-14)*(-45 - -1). Let h = r - 13. Calculate the remainder when v is divided by h.
8
Suppose -160*a + 150*a = -710. What is the remainder when a is divided by 17?
3
Let a = -95 - -77. Let j(c) = c**3 + 18*c**2 + 11. Calculate the remainder when 27 is divided by j(a).
5
Suppose -2*f - 4 = 2, 4*f = -4*a + 576. Let t = 227 - a. What is the remainder when t is divided by 28?
24
Let k be -3 + 1*-68 + -2. Let f = k - -77. Suppose -39 = -3*v - 12. Calculate the remainder when v is divided by f.
1
Suppose -2*j + 13 = -n, -5*n + 43 = j + j. Let s = 1 - -23. What is the remainder when s is divided by j?
6
Suppose -2*k + 4*k = 2*p - 24, 0 = 2*p + k - 15. Suppose p - 6 = a. Calculate the remainder when 33 is divided by a.
0
Let d(v) = -v**3 - 13*v**2 + 30*v + 12. Let z(g) = -4*g + 1. Let s be z(4). Calculate the remainder when 154 is divided by d(s).
10
Let n = 187 - 128. Suppose -4*q + 5*q + n = 4*z, -42 = -3*z + 3*q. What is the remainder when 41 is divided by z?
11
Suppose 0 = -2*c + 4*x + 60, 0 = c - 3*c + 3*x + 62. What is the remainder when 100 is divided by c?
32
Suppose 9 + 21 = 5*v. Suppose 2*r + 0*r - v = -4*s, 3*s = 2*r + 8. Calculate the remainder when s + (4/(-2) - -35) is divided by 9.
8
Let t(k) = -k**3 + 6*k**2 + 7. Let l = 18 - 16. Suppose w = 3*b - 4*w + 1, 4*w = 2*b + l. What is the remainder when t(6) is divided by b?
1
Let s = 19 - -12. Calculate the remainder when 79 is divided by s.
17
Suppose t - 148 = -5*x - 2*t, -5*x = -4*t - 176. What is the remainder when 141 is divided by x?
13
Let g(r) = 3*r**2 + 5*r + 31. Calculate the remainder when g(7) is divided by 43.
41
Let g = 21 + -3. Suppose -67*x = -64*x + 9, -3*j + 321 = -x. Calculate the remainder when j is divided by g.
16
Suppose -13 - 13 = -2*p. Calculate the remainder when 427 is divided by p.
11
Suppose -h = -n + 26, 5*n - 4*h - 132 = -h. Let t(b) = b**2 + 7*b - 16. Calculate the remainder when n is divided by t(-10).
13
Suppose -5*l + 2*b = -18, 7*l - 3*l - 28 = 5*b. Let h(v) = -v**2 + 5*v - 1. Let c = -5 - -14. Calculate the remainder when c is divided by h(l).
4
Let o(t) = -10*t**3 - 60*t**2 - 5*t - 5. What is the remainder when 94 is divided by o(-6)?
19
Suppose 5*i = -9*i + 14. Calculate the remainder when 19 is divided by i.
0
Suppose -14*z + 16*z - 5*c = 55, 2*z - c - 35 = 0. Calculate the remainder when 29 is divided by z.
14
Let t = 753 + -743. Calculate the remainder when 97 is divided by t.
7
Let t(y) = 2*y + 27. Let a be t(-12). Suppose -a*i = i - 16. What is the remainder when i is divided by 3?
1
Suppose 5*u - 2 - 413 = 0. Calculate the remainder when 162 is divided by u.
79
Let m(u) = u + 2. Let i(l) = 3*l**2 + l + 2. Let w be i(2). Calculate the remainder when m(w) is divided by 6.
0
Suppose 4*k - 47 = 81. Suppose 5*q - 4*h = 268, 351 - 77 = 5*q - 2*h. Let i = 150 - q. What is the remainder when i is divided by k?
30
Suppose k - 7*y + 2*y + 17 = 0, 12 = 4*k - 4*y. Calculate the remainder when 173 is divided by k.
5
Let d = -38 + 42. Suppose u + d*b = -0*b + 22, 2*u = -3*b + 34. What is the remainder when u is divided by 5?
4
Let i = 930 - 834. What is the remainder when 192 is divided by i?
0
Let g(k) = 4*k + 59. Let t be g(-8). Let p(o) = 6*o - 55. What is the remainder when p(t) is divided by 22?
19
Let a = 2157 + -2134. What is the remainder when a is divided by 8?
7
Let x(z) be the third derivative of z**7/2520 - z**5/30 - z**2. Let u(v) be the third derivative of x(v). Calculate the remainder when 17 is divided by u(3).
5
Let c = -94 + -27. Let k = c - -131. Calculate the remainder when 14 is divided by k.
4
Suppose -3*r + 37 - 4 = 0. What is the remainder when ((-4)/6)/(4/(-258)) is divided by r?
10
Let h = -232 - -774. Calculate the remainder when h is divided by 16.
14
Let c be 3 + (-4)/(16/(-12)). Suppose -p = -c*p + 25. Suppose 0 = 2*r - g - 4*g - 13, 0 = p*r - 4*g - 58. Calculate the remainder when 41 is divided by r.
13
Let w = 18 + -16. Let j(g) = -2*g - 2*g + w*g + 46*g**3 + 1. Calculate the remainder when j(1) is divided by 16.
13
Calculate the remainder when 313 is divided by -9*786/(-90) - (-10)/25.
76
Suppose -r = 5*j - 174, 11*r - 15*r = -2*j - 586. Calculate the remainder when 742 is divided by r.
146
Suppose 3*y + 3*m = -y - 64, 3*m - 16 = y. Let t = y + 21. Calculate the remainder when 9 is divided by t.
4
Suppose 4*g = 103 - 31. Let f = g - -5. Suppose 3*p + 0*p = c + 204, 2*c + 340 = 5*p. What is the remainder when p is divided by f?
22
Let p = 33 + -1. Let u be 1080/18 - -2*(1 - 3). Suppose 28 = 7*b - u. Calculate the remainder when p is divided by b.
8
Let c = 258 - 200. What is the remainder when c is divided by 21?
16
Let j = -2321 - -2415. Let d = 7 + 41. What is the remainder when j is divided by d?
46
Suppose 3*j = -3*x + 8*j + 209, -2*j = 3*x - 223. What is the remainder when x is divided by 23?
4
Let l = -858 + 880. What is the remainder when 37 is divided by l?
15
Suppose w - 7*l + 14 = -2*l, 22 = -2*w + 4*l. Calculate the remainder when 1/(-3) - 381/w is divided by 15.
12
Let g(m) = -m**3 - 5*m**2 + m + 2. Let s be g(-6). Let q = 7 - 3. Suppose s = 3*k - q*l, 0 = -5*k - l - l + 62. What is the remainder when 21 is divided by k?
9
Suppose 566 + 1712 = 34*q. Calculate the remainder when q is divided by 9.
4
Let z = 41 - 30. Let c = 41 + -25. Calculate the remainder when c is divided by z.
5
Suppose 4*d = -x + 50, 5*x + 5*d + 106 - 281 = 0. What is the remainder when ((-55)/(-15))/(4/6)*10 is divided by x?
25
Suppose 408 = 9*w + 3*o - 0*o, -128 = -3*w + o. Calculate the remainder when 303 is divided by w.
39
Let p(o) = -3*o**2 - o + 51. Let g(d) = 16*d**2 + 5*d - 256. Let c(w) = 2*g(w) + 11*p(w). Let v = 11 + 14. Calculate the remainder when c(0) is divided by v.
24
Let t = 1163 - 558. Calculate the remainder when t is divided by 155.
140
Let i = -41 - -50. Let g = 37 + i. Suppose 0*o + 24 = 2*o. Calculate the remainder when g is di