he first derivative of 17*v + 7*v**2 + 14/3*v**3 - 1/4*v**4 - 16. What is the remainder when 20 is divided by d(15)?
0
Let i(u) = -u**2 + 13*u + 10. Let t be i(14). Let p(j) = j**3 + 7*j**2 + 10*j + 2. Calculate the remainder when 16 is divided by p(t).
6
Suppose -2*l + 137 = -5*m - 5806, 0 = 2*l + 5*m - 5973. Calculate the remainder when l is divided by 42.
39
Let t = 2031 + -1666. Calculate the remainder when t is divided by 115.
20
Let s(a) = -38*a**2 - 3234*a + 79. What is the remainder when s(-85) is divided by 136?
11
Suppose 2*a + 399 = c, a = 5*c - 0*a - 1968. Suppose 0 = -15*s + c + 597. Calculate the remainder when s is divided by 36.
30
Let l = 0 + 0. Suppose 4*f = 4*o + 44, -65 + 112 = 5*f - o. Calculate the remainder when f is divided by 1 + (-2 + l - -7).
3
Suppose 0*r + 5192 = 11*r. Suppose 7*c - 228 = r. What is the remainder when c is divided by 35?
30
Suppose -7*p + 14347 = 522. Calculate the remainder when p is divided by 10.
5
Let f = -3961 - -5132. Calculate the remainder when f is divided by 581.
9
Let z = 2706 - 1396. What is the remainder when z is divided by 654?
2
What is the remainder when ((-1365)/15)/(-7) - -999 is divided by 78?
76
Suppose -2*u + 150 = 3*u. Let r be ((-36)/24)/(6/(-16)). Suppose 4*f = -r*o + 12, 2*f - 36 = 5*o - o. What is the remainder when u is divided by f?
6
Let x be (47/(-3))/(7/(-105)). Let t = -86 + x. Suppose -4*w = 3*y - 145, 2*y - 102 = 4*w + 8. What is the remainder when t is divided by y?
47
Let a(w) = w + 26. Suppose -41 = 10*l - 1801. What is the remainder when l is divided by a(21)?
35
Suppose -2*h - 2*n + 7409 = 663, h - 5*n = 3427. What is the remainder when h is divided by 1685?
12
Let c(d) = d**2 - 70*d + 1186. What is the remainder when c(48) is divided by 4?
2
Let z = 205 - 158. Suppose -z = a - 174. What is the remainder when a is divided by 13?
10
Suppose -37*c + 32*c = -10. Let q(x) = 2*x**3 - 2*x**2 - 3*x + 3. Let s be q(c). What is the remainder when 49 is divided by ((-30)/25)/(-3) + 88/s?
13
Let l be (-19)/152 + (-3250)/(-16). Suppose -6*m - 217 = l. Let g = 138 + m. What is the remainder when g is divided by 35?
33
Let p = -31725 + 31751. Suppose -4*t = -0*t + 104. Let s = -12 - t. What is the remainder when p is divided by s?
12
Calculate the remainder when 2288 is divided by (3/(-12))/(((-63)/(-4872))/(6/(-4))).
26
Let y be (-5 + (2 - -2))/((-2)/82). Let t = 49 - y. Suppose -11*g + 87 = -t*g. Calculate the remainder when g is divided by 8.
5
Suppose -7*p - 141 = -8*p + u, -u - 4 = 0. What is the remainder when 51 is divided by (-6)/27 + p/9?
6
Suppose h - p = 136, 537 = 4*h - p + 4*p. What is the remainder when h is divided by 19 + -40 - (-5 - 76)?
15
Let m(c) = 24*c - 40*c + 6 - 7. Let l be m(-1). Calculate the remainder when (-43)/(-5)*9 + l/25 is divided by 22.
12
Suppose 0 = 3*h + 5*d - 2491, 0*h - 2*h - 5*d + 1659 = 0. Calculate the remainder when h is divided by 118.
6
Let g be (-10)/25 - 3372/(-30). Calculate the remainder when (g/(-4))/(-4) + -5 is divided by 2.
0
Let o(m) = 2326*m**2 - 80*m + 80. What is the remainder when o(1) is divided by 97?
95
Let k = -4981 - -5396. Calculate the remainder when k is divided by 43.
28
Suppose 0*r = 2*r - 8. Let g be (1 - 2/(-6)) + (80/60)/2. Suppose -2 = -r*p + 2, -g*s = p - 55. Calculate the remainder when s is divided by 10.
7
Let j = 134 - 132. Suppose 0 = -2*q + 2*t + 34, 4*q + 4*t - j = 34. What is the remainder when q is divided by 10?
3
Let j(d) = 6*d**3 - 3*d**2 + 3*d. Suppose -v = 5*t - 88, 11*t + 5*v = 6*t + 80. Suppose 0*n + 36 = t*n. What is the remainder when j(n) is divided by 15?
12
Let q(p) be the first derivative of p**2/2 + p - 4. Let i(v) = 1. Let z(y) = -i(y) + 6*q(y). What is the remainder when z(12) is divided by 39?
38
Suppose -2*t - y = -610, 74*y + 1224 = 4*t + 77*y. What is the remainder when t is divided by 26?
17
Let r = -7 - -5. What is the remainder when (r + 171)*2/2 is divided by 3/(27/129)*3?
40
Let w be (-1 + (-20 - 1))*1. Let l = 422 + -396. Let n = l - w. Calculate the remainder when n is divided by 14.
6
Let s(g) = g - 2. Let y(m) = -12*m - 63. Suppose 0 = -12*i - 40 - 32. Calculate the remainder when y(i) is divided by s(4).
1
Let u(o) = -6*o + 11. Let y(p) = -22*p + 43. Let s(b) = -9*u(b) + 2*y(b). What is the remainder when 19 is divided by s(2)?
5
Let g(k) = -k**3 + 15*k**2 + 16*k + 2. Let c = -7 + 23. Let d be g(c). Suppose 4 = 3*f - d. What is the remainder when f is divided by 1?
0
Let a = -218 + 221. Suppose 266 = a*o + 170. What is the remainder when 348 is divided by o?
28
Suppose 2*l + 4*s = 166, 5*s + 350 = 5*l + 2*s. Let k(c) = 35*c + 1279. What is the remainder when l is divided by k(-36)?
16
Calculate the remainder when 156 is divided by (2/10 + (-4)/(-80))*124.
1
Suppose 5*t + 690 = 2880. Let i(h) = 6*h**3 - 2*h + 1. Let c be i(1). Suppose -t = -c*j - j. Calculate the remainder when j is divided by 38.
35
Let t(d) = d - 3. Let u(y) = -6*y + 70. Let k(i) = 2*t(i) - u(i). What is the remainder when 58 is divided by k(12)?
18
Let l(m) = -5*m - 57. Let f be l(-12). Suppose 0 = 3*t + 2*t - 15, 4*t = f*w - 60. Calculate the remainder when 70 is divided by w.
22
Suppose -30 - 40 = -10*b. Suppose -3*l = -3, -4*o + 48 - b = l. Suppose 12*a - o = 14. Calculate the remainder when 5 is divided by a.
1
Suppose 21 - 9 = 4*r. Suppose -r*x + 22 - 10 = 0. Suppose -x*p + 107 = -9. What is the remainder when p is divided by 5?
4
Let c be ((-190)/(-3))/((-16)/24). Let l = -3 - c. What is the remainder when l is divided by 19?
16
Let w = 33392 + -33108. What is the remainder when w is divided by 23?
8
Let m(z) be the first derivative of -2*z**3/3 + 5*z**2 - 4*z - 17. Let r be m(5). What is the remainder when 133 is divided by (-6370)/(-234) + r/18?
25
Let b = -1817 + 1960. Calculate the remainder when b is divided by 20.
3
Let p(i) = -13*i + 77. Let q be p(8). Let r = 126 + -64. Calculate the remainder when r is divided by 2/q - (-10591)/459.
16
Let r = -20 - -22. Let s(v) = 2*v - 1 + 19*v**r + 22*v**2 - 5*v + v. What is the remainder when s(-1) is divided by 9?
6
Suppose 0 = -2*i + 3*k - 832 + 56768, k + 139853 = 5*i. What is the remainder when i is divided by 84?
83
Let v = -4 + 5. Suppose 2*m - 16 = -3*r, 6*r - 10 = 5*m + r. Suppose -o - m*h = -37 + v, o - 34 = -h. Calculate the remainder when 95 is divided by o.
31
Suppose -444 = -2*c - 120. Suppose -3*t + 25 = 4*u - c, -5*u + t = -229. Suppose n + 6 = 4*n, -2*a = 5*n - u. Calculate the remainder when 35 is divided by a.
17
Let p(u) = u**3 + 10*u**2 + 3*u - 22. Let m = 27 - -7. Let g be m/(-4) + (-1 - 5)/12. What is the remainder when p(g) is divided by 12?
8
Let n(m) = -m**3 + 11*m**2 + 74*m - 549. Calculate the remainder when n(7) is divided by 47.
24
Let h = -110 - -286. Let b = h + -54. Calculate the remainder when b is divided by 31.
29
Suppose 77*f - 13775 = 5806 - 2949. What is the remainder when 658 is divided by f?
10
Suppose 79*d - 10949 - 1849 = 0. Calculate the remainder when d is divided by 46.
24
Let s(g) = -2*g**3 - g**2 - g - 1. Suppose 2*j = -278 - 214. Let u = j + 251. What is the remainder when u is divided by s(-1)?
0
Calculate the remainder when 1635 is divided by 45180/765 + 2/(-34) + 0.
42
Let o(t) = 1. Let i(p) = -2*p. Let n(g) = i(g) + 4*o(g). Calculate the remainder when 277/11 + 7*(-12)/462 is divided by n(-5).
11
Let i = -83488 - -83538. Suppose 0 = -n + 5*v + 11, -n + 2*n - 17 = 3*v. Calculate the remainder when i is divided by -1*n/(2*-1).
11
Let o = -13 + 14. Let z(y) = -8*y**3 + y**2 - y. Let d be z(o). What is the remainder when ((-4)/d)/((-2)/(-292)) is divided by 15?
13
Let k(x) = x**3 - 14*x**2 + 41*x - 81. What is the remainder when 5361 is divided by k(11)?
6
Suppose 2*v + 9870 = -13*v. What is the remainder when (7 - 1)/((-21)/v) is divided by 63?
62
Suppose -5*g + 227 = 3*q, -11*q = 2*g - 44 + 12. Let k(w) = -w**2 + 6. Let p be k(0). Let u = 17 - p. Calculate the remainder when g is divided by u.
5
Suppose 3*p = 12, -2*l - 3*p = -p + 168. Let t = 90 + l. Calculate the remainder when 5 is divided by t.
1
Suppose -2*l - 12 - 60 = -3*w, 3*l = -2*w + 61. Let g(c) = c + 4. Let u be 7/(-2)*(-80)/28. Calculate the remainder when w is divided by g(u).
12
Calculate the remainder when 5157 is divided 