k). What is the second derivative of h(c) wrt c?
-20*c**3 + 2100*c**2
What is the second derivative of 8*m**5 - 6*m**5 - 23*m - 76*m wrt m?
40*m**3
Let c(n) be the first derivative of -n**6/40 + 7*n**3/3 + 15*n**2/2 - 6. Let m(b) be the second derivative of c(b). Find the first derivative of m(j) wrt j.
-9*j**2
What is the third derivative of -36 + 2*i**2 + 5*i**4 + 4*i**5 + 510*i**3 - 1022*i**3 + 512*i**3 wrt i?
240*i**2 + 120*i
Let c be 8/6 - (-1236)/18. Find the second derivative of -c*y**4 + 13*y + 71*y**4 + 9 - 9 wrt y.
12*y**2
Let f(z) = -z**5 + 2. Let w(k) = 59*k**5 + 3*k**4 + 89*k**2 - k + 6. Let t(s) = -3*f(s) + w(s). Find the third derivative of t(b) wrt b.
3720*b**2 + 72*b
Let w(o) = -o**3 - 8*o**2 - 8*o + 1. Let t be w(-7). Suppose 0 = -3*k + 1 + t. Differentiate -3 - k*m**4 - m**4 - 6 - m**4 with respect to m.
-20*m**3
Find the second derivative of 29*l**4 + 14*l**4 + 8*l**4 + 15*l + 8 - 4 wrt l.
612*l**2
Let u(k) = -k**3 + 4*k**2 + k. Let v be u(3). Find the second derivative of w + v*w**5 + 9*w + 9*w - 26*w**5 wrt w.
-280*w**3
Let z(n) be the second derivative of -23*n - 47/12*n**4 - n**2 + 0*n**3 + 0. What is the derivative of z(a) wrt a?
-94*a
Find the second derivative of 20*f**2 - 84*f**2 + 26*f - 1 + 8*f**2 + 32*f**2 - f**3 wrt f.
-6*f - 48
Let o(l) be the second derivative of -33*l**5/20 - l**4/6 - 13*l**2 + 2*l + 22. Find the third derivative of o(m) wrt m.
-198
Let c(z) be the first derivative of -4*z**6/45 - z**5/5 + 4*z**3 + 12. Let u(f) be the third derivative of c(f). Find the second derivative of u(v) wrt v.
-64
Suppose -3*u - 96 = -147. Differentiate 33*q + 15*q - u - 26*q wrt q.
22
Suppose 0 = 5*x + 3*q - 122, 4*x - 2*q - 80 = -0*q. Let z = x + -17. Differentiate 3 - z - 8*c + 11 wrt c.
-8
Let m = 312 - 307. Let x(k) be the first derivative of 4 + 0*k**2 - m*k - 5/3*k**3. What is the derivative of x(n) wrt n?
-10*n
Suppose 7*f - 3*f = 8. What is the third derivative of 2*m**2 + 117*m**6 - 118*m**6 - m**f wrt m?
-120*m**3
Suppose 0*k + 10 = 5*k. Find the third derivative of -3*s**2 - 2*s**k + 34*s**5 - 33*s**5 wrt s.
60*s**2
Suppose -4*i + 2 = -2. Suppose -3*g + 23 = -4*m, -i = -g - 2*m - 0. What is the second derivative of -3*d**2 - g*d**3 - d + 3*d**2 + 0*d wrt d?
-30*d
Let a(h) be the third derivative of 0 - 11/6*h**3 - 1/8*h**4 - 5*h**2 + 0*h. What is the derivative of a(y) wrt y?
-3
Let h(n) = -8*n**3 + 11*n**2 + 22*n + 1082. Let a(g) = 6*g**3 - 6*g**2 - 12*g - 541. Let o(b) = 11*a(b) + 6*h(b). Differentiate o(z) with respect to z.
54*z**2
Differentiate 2*f**3 + 67*f - 773 + 440 - 605 wrt f.
6*f**2 + 67
Let b be -1*12/8*-2. Let w(o) = -37*o**2 - 6*o - 26. Let q(s) = 184*s**2 + 32*s + 130. Let g(h) = b*q(h) + 16*w(h). Find the first derivative of g(a) wrt a.
-80*a
Let u(g) be the first derivative of 5*g**4/4 - 30*g**2 + 53. Find the second derivative of u(b) wrt b.
30*b
Suppose -3*d - 3*s + s = -22, 3*d + 4*s - 14 = 0. Let i = d - 7. Find the second derivative of i*f**5 + 0*f + 3*f**5 - 4*f - f**5 wrt f.
100*f**3
Find the second derivative of -5*a**3 + 58*a + 25*a**3 + 9*a**3 - a**3 wrt a.
168*a
Suppose -3*b = -7 - 26. Let t = b + -8. Find the second derivative of -x**3 + 13*x - 10*x + 3*x**t + 0*x**3 wrt x.
12*x
What is the derivative of 14*g**3 - 58 - 66*g**3 + 20*g**3 wrt g?
-96*g**2
Let n be ((-3)/((-9)/(-21)))/(-1). What is the second derivative of 20*s + n*s**2 - 10*s**2 - 12*s**2 wrt s?
-30
Suppose -3*k + 18 + 7 = -4*h, -4*k - 2*h + 48 = 0. What is the third derivative of k*j**5 - 7*j**2 - 12*j**5 - 7*j**2 wrt j?
-60*j**2
Let r(d) = 9*d**2 + 2*d - 1. Let k be r(1). Suppose 3*i = s + 5, -2*i = -s - 3 + 1. What is the third derivative of -k*f**2 - s*f**3 + 87*f - 87*f wrt f?
-24
Let d be 21/(-14)*(1/1 - 3). What is the third derivative of 3*f**2 + d*f**2 - 7*f**4 + 2*f**2 wrt f?
-168*f
Let g(j) be the third derivative of -31*j**2 + 0 + 3/20*j**5 + 0*j**3 - 13/120*j**6 + 0*j**4 + 0*j. What is the third derivative of g(o) wrt o?
-78
Let j(b) = -18*b**3 + b**2 + 16*b + 2. Let i(q) = -72*q**3 + 5*q**2 + 64*q + 9. Let o(k) = 4*i(k) - 18*j(k). Find the third derivative of o(x) wrt x.
216
Let w(f) be the first derivative of -3*f**5/5 - 7*f**3/3 + 81*f - 49. What is the first derivative of w(r) wrt r?
-12*r**3 - 14*r
Let x(f) = 74*f**3 + 5*f**2 - 15*f + 202. Let v(a) = -37*a**3 - 3*a**2 + 8*a - 101. Let w(t) = 5*v(t) + 3*x(t). What is the second derivative of w(o) wrt o?
222*o
Let a(i) = -4*i - 14. Let y(g) = -g - 3. Let d = 14 - 6. Let m = d - 6. Let h(x) = m*a(x) - 11*y(x). What is the first derivative of h(s) wrt s?
3
Let t be (-12)/(-21) + (-85)/(-35). What is the first derivative of q**3 - 10*q**4 + 4 - q**t - 9 wrt q?
-40*q**3
Let a(l) = l**3 + l**2 + 1. Let m(k) = -18*k**3 + 2*k**2 + 37*k + 2. Let d = -56 + 57. Let p(u) = d*m(u) - 2*a(u). Find the second derivative of p(f) wrt f.
-120*f
Let v(b) = b**3 + 8*b**2 - 11. Let p be v(-8). Let s = p + 14. What is the second derivative of -5 + r**3 + 2 + s - 6*r wrt r?
6*r
What is the third derivative of -27*d**5 + 67*d**5 - 5*d - 3*d**2 - 2*d**2 - 67*d**5 + d wrt d?
-1620*d**2
Suppose 16 = -4*v - 0*v. Let m be v/10 + 16/40. What is the first derivative of 0*p + m*p + 8*p - 1 wrt p?
8
Let n(s) be the first derivative of 22*s**5/5 + 2*s**3/3 - 7*s**2/2 - 17. What is the second derivative of n(v) wrt v?
264*v**2 + 4
Let s be (-6*(-2 + 3))/((-12)/18). Differentiate -4 - s*r**2 + 2*r**2 - 2*r**2 - 1 wrt r.
-18*r
Find the third derivative of -405*a**4 + 7*a**2 - 45*a**3 - 111*a + 0*a**2 + 407*a**4 + 0*a**2 - 3*a**2 wrt a.
48*a - 270
Let p = -1581 + 1584. Let d(s) be the second derivative of -7/6*s**3 - p*s**2 + 0 - 13*s. What is the derivative of d(j) wrt j?
-7
Let r be (28/(-70))/((-2)/10). What is the derivative of 9 + 23*u - r - 37*u wrt u?
-14
Let f = -989 - -1002. Let b(s) be the first derivative of 0*s**3 + 0*s + 0*s**4 + 9/2*s**2 - f + 2/5*s**5. Find the second derivative of b(a) wrt a.
24*a**2
What is the second derivative of -38*l - 6*l - 11 - 11*l**2 + 5*l**3 + 24 - 14 wrt l?
30*l - 22
Let y = -31 - -33. Find the second derivative of 707*h**y - 707*h**2 - 7*h**3 - 14*h wrt h.
-42*h
Suppose -3*v - i - 85 = 2*v, 5*v + 85 = -3*i. Let c = v - -22. Find the second derivative of -k**3 - 41*k**5 + 49*k**c + k**3 + 6*k wrt k.
160*k**3
What is the first derivative of -164 + 113*u**2 + 65*u**2 - 158*u + 81*u + 77*u wrt u?
356*u
What is the third derivative of -100*p**2 + 28 + 20 + 168*p**3 - 50 wrt p?
1008
Find the second derivative of 5*r**2 + 5*r**5 - r**5 - 27*r + 53*r - 35*r wrt r.
80*r**3 + 10
Let x(a) be the third derivative of 127*a**4/12 + 15*a**3 + 482*a**2. Differentiate x(l) wrt l.
254
Let h(b) = -177*b**3 - 309*b**2. Let n(w) = -w**2. Let v(x) = -h(x) + 3*n(x). What is the third derivative of v(g) wrt g?
1062
Let v(c) be the second derivative of 16*c**2 + 0 + 4/5*c**5 + 0*c**3 + 0*c**4 - 10*c. Differentiate v(h) with respect to h.
48*h**2
Let t(n) be the third derivative of 1/14*n**7 + 0 + 2/15*n**5 + 0*n**6 + 0*n**4 + n**2 + 0*n**3 + 0*n. What is the third derivative of t(x) wrt x?
360*x
Find the third derivative of 32*j**2 - j + 241*j**5 + 11*j**5 + 79*j**2 + 86*j**2 wrt j.
15120*j**2
Suppose 70 = 4*t + u + 2*u, 3*t = 5*u + 38. Suppose -o + 3*c = -c - 21, c = -4*o + t. Differentiate 4*n**3 + 13 - o - 14*n**3 with respect to n.
-30*n**2
Let p(t) = -95*t - 59. Let o(w) = 190*w + 116. Let d(q) = 3*o(q) + 5*p(q). What is the derivative of d(h) wrt h?
95
Let a(c) = c + 4. Let j be a(-2). Find the third derivative of -4*h**3 + h**2 + 11*h**3 + 2*h**3 + h**j wrt h.
54
What is the third derivative of -407*q**2 - 5*q**3 - 8*q**3 + 18*q**6 + 32*q**3 - 15*q**3 wrt q?
2160*q**3 + 24
Let l(d) be the first derivative of -15 + 0*d**2 + 3*d + 0*d**3 + 15/4*d**4. Differentiate l(j) with respect to j.
45*j**2
What is the first derivative of -g**2 + 52 - 6*g**3 + 71 + 6*g**2 + 131 + 29 wrt g?
-18*g**2 + 10*g
Let r(h) be the second derivative of 0*h**4 + 0*h**2 + 2/15*h**6 - 24*h + 13/3*h**3 + 0*h**5 + 0. What is the second derivative of r(o) wrt o?
48*o**2
Suppose 3*y = -0*y - 126. Let a = 196 - y. What is the second derivative of a*d**2 + 7*d - 249*d**2 - 2*d wrt d?
-22
Let f(v) be the first derivative of v**3/6 + 7*v**2/2 - 5*v + 7. Let b(h) be the first derivative of