a**4 + 0*a**2 - 6*a**4 + a**2 - 27 wrt a.
8*a**3 - 2*a
Let i(h) be the third derivative of h**7/10 - 53*h**5/60 + 3*h**2 - 5. Find the third derivative of i(j) wrt j.
504*j
Find the third derivative of 3*h**2 - 4*h**2 + 17*h**6 - 24*h**6 wrt h.
-840*h**3
Find the second derivative of 3*m - 7*m**2 + 89 - 89 wrt m.
-14
Let h(g) = -g**3 + g - 2. Let m be (-12)/(-9)*6/(-4). Let t be h(m). Find the second derivative of -2*r + r**t - 2*r**5 - r**4 wrt r.
-40*r**3
Let j = 18 + -13. Find the second derivative of 2*i**j + 21*i - 3*i**5 - 17*i wrt i.
-20*i**3
Let z(q) be the first derivative of -q**7/105 + q**3 + 3*q**2/2 - 3. Let k(h) be the second derivative of z(h). Differentiate k(t) wrt t.
-8*t**3
Suppose -3*u + 0 = -i + 6, 0 = 5*u + 5. Find the second derivative of -6*p + i*p + 0*p**5 + 3*p**5 wrt p.
60*p**3
Let k(q) be the first derivative of 0*q + 0*q**4 + 3*q**2 + 0*q**3 + 1/2*q**6 + 1 + 0*q**5. What is the second derivative of k(c) wrt c?
60*c**3
Let b = 3 + -1. Find the third derivative of -m**3 + 6*m**2 + 3*m**2 - 13*m**b wrt m.
-6
Let s(o) = -o**3 + 6*o**2 + 4*o. Let q be s(6). What is the third derivative of 24*j**4 - q*j**4 - 2*j**6 - j**2 wrt j?
-240*j**3
Let s(r) be the second derivative of r**4/12 + r**3/6 - 3*r. Let k(z) = 4*z**2 + 7*z. Let x(f) = -k(f) + 6*s(f). Find the second derivative of x(a) wrt a.
4
Let k(g) = -8*g**3 - 7*g**2 - 1. Let d(o) = -o**3 - o**2 + 1. Let j(l) = 35*d(l) - 5*k(l). What is the first derivative of j(p) wrt p?
15*p**2
Let m(r) be the second derivative of 0*r**5 + 0 - 1/4*r**4 + 0*r**2 + 0*r**6 + 0*r**3 - 1/21*r**7 - 2*r. What is the third derivative of m(d) wrt d?
-120*d**2
Suppose -2*s + 6 = 4*b - 4, b = 4*s - 2. Let p(v) be the first derivative of 2/3*v**3 + 0*v**b + 1 - v. Find the first derivative of p(a) wrt a.
4*a
What is the second derivative of 7*k - 8*k - 13*k**3 - k**3 wrt k?
-84*k
Let a be (-3)/6 + 3/2. What is the first derivative of 0 + a + 0*y**3 - 4*y**4 + 0*y**3 wrt y?
-16*y**3
Let p(s) be the third derivative of 0 + 0*s**3 + 0*s + 0*s**4 - 3*s**2 + 1/60*s**6 - 1/60*s**5. What is the third derivative of p(d) wrt d?
12
Let w(v) = v**3 - v**2 - 1. Let b(d) = -26*d**3 + 6*d**2 - 28*d + 4. Let h(l) = -b(l) - 6*w(l). What is the second derivative of h(j) wrt j?
120*j
Suppose m - 4 + 0 = 0. Find the second derivative of 3*c**3 - m*c**3 + 0*c**3 - 2*c**3 - 11*c wrt c.
-18*c
Let g(k) be the second derivative of k**6/72 + k**4/12 + k**3 - k. Let s(h) be the second derivative of g(h). Differentiate s(v) with respect to v.
10*v
Let g(t) = -5*t - 7. Let k(w) be the second derivative of -13/2*w**2 + 0 + 2*w - 3/2*w**3. Let o(u) = 11*g(u) - 6*k(u). Differentiate o(l) wrt l.
-1
Find the second derivative of 5*l - 3*l + 3*l - 6*l + 22*l**2 wrt l.
44
Let v(q) be the second derivative of -7*q**4/2 - 9*q**2 + 65*q. Differentiate v(c) wrt c.
-84*c
Let y = -15 - -17. Let s(r) be the first derivative of -r + 1 + 1/2*r**y. Find the first derivative of s(d) wrt d.
1
Let k(j) be the first derivative of 5*j**4/2 + j**3/3 + 2. Let f(h) = 11*h**3. Let w(o) = -4*f(o) + 5*k(o). What is the third derivative of w(b) wrt b?
36
Let t(x) = 30*x**3 + 9*x**2 - 5*x + 5. Let h(l) = -30*l**3 - 10*l**2 + 4*l - 4. Let i(u) = 5*h(u) + 4*t(u). Find the third derivative of i(y) wrt y.
-180
Find the second derivative of 4 - 9 + 14*c + 5 + 18*c**4 wrt c.
216*c**2
Let h(c) = 2*c**2 + 6*c - 6. Let a be h(-5). Let m be a/4 + 3/(-2). What is the second derivative of 3*f**m + f - 3*f + 4*f wrt f?
6
What is the third derivative of -3*b**2 + 5*b**2 - 13*b**5 + 0*b**2 + 21*b**2 wrt b?
-780*b**2
Let p(m) be the first derivative of -19*m**3/3 + 11*m**2/2 + 2*m - 12. Find the second derivative of p(y) wrt y.
-38
Let g = -16 - -18. What is the third derivative of 4*q**4 - 2*q**g + q**2 + 3*q**2 - 7*q**2 wrt q?
96*q
Let c(h) = 6*h + 1. Let o(y) = -17*y - 3. Suppose 7*v + 4*s + 31 = 2*v, -4*s - 16 = 0. Let j(l) = v*o(l) - 8*c(l). What is the first derivative of j(z) wrt z?
3
Let t(d) = d**2 - 7*d - 4. Let g be t(8). Find the second derivative of -2*v - 2*v + g*v + 3*v + 2*v**2 wrt v.
4
Find the third derivative of 0*a**3 + 0*a**3 - 10*a**2 - 57*a**6 + 34*a**6 wrt a.
-2760*a**3
What is the derivative of 40 - 4*r**2 + 5*r**2 + 3 + 50*r**2 wrt r?
102*r
Let t(k) be the first derivative of 9*k**4/2 - 5*k**2/2 - 25. What is the second derivative of t(w) wrt w?
108*w
Let q(y) be the third derivative of 25*y**9/252 - y**5/30 + y**4/4 + 3*y**2 - 2*y. Find the third derivative of q(v) wrt v.
6000*v**3
Let h = -32/15 - -14/5. Let t(w) be the first derivative of 0*w**4 + 1 - h*w**3 - 1/5*w**5 + 0*w**2 + 0*w. Find the third derivative of t(l) wrt l.
-24*l
Let d(w) = w**3 - w**2. Let f(c) = 2*c**4 - 6*c + 0*c**3 + 3*c**3 + 6*c. Let m(r) = 3*d(r) - f(r). Find the third derivative of m(v) wrt v.
-48*v
Let q(h) = 17*h**2 - 6*h. Let x(t) = 18*t**2 - 5*t. Let d(u) = 7*q(u) - 6*x(u). Find the second derivative of d(r) wrt r.
22
Suppose 0 = w - 5*w + 16. What is the first derivative of -5*x**w - 1 + x - 3 - x wrt x?
-20*x**3
Suppose -4*b + 3 = -b. Let f be b/(-2) + 10/4. Find the third derivative of 2*a**4 - 2*a**4 - a**4 + 2*a**f wrt a.
-24*a
Find the second derivative of -10*g - 23*g + 5*g**2 - 17*g**2 wrt g.
-24
Let y = -1 - -5. Differentiate -2 + 4*p - 4 + y - 5*p wrt p.
-1
What is the second derivative of -12*l + l**5 + 0*l + 7*l**5 wrt l?
160*l**3
Let p(j) be the third derivative of -j**6/360 + j**5/60 - j**4/12 + j**2. Let h(c) be the second derivative of p(c). Differentiate h(y) wrt y.
-2
Let y = 4 + 0. What is the third derivative of -3*c**2 + 2*c**2 + 2*c**3 - 2*c**3 - 3*c**y wrt c?
-72*c
Let r(o) be the third derivative of -o**7/21 + 3*o**4/8 + 11*o**2. What is the second derivative of r(m) wrt m?
-120*m**2
Find the third derivative of -12*j**5 - 17*j**5 + 22*j**2 + 42*j**5 wrt j.
780*j**2
Let q(d) be the third derivative of -d**5/12 - d**3/3 + 4*d**2. Differentiate q(z) wrt z.
-10*z
Let u(z) = z**4 - z**3 - z**2 - 1. Let n(x) = -4*x**5 - 4*x**4 + 4*x**3 - 3*x**2 + 4. Let k(t) = -n(t) - 4*u(t). What is the third derivative of k(o) wrt o?
240*o**2
Find the third derivative of 3*k**2 - 3*k**6 + 0*k**2 + k**6 + k**6 wrt k.
-120*k**3
Suppose -2 = -2*z - 0*z. Let o(i) = i + 1. Let g(t) = 2*t**2 - 6*t - 7. Let x(h) = z*g(h) + 6*o(h). What is the derivative of x(d) wrt d?
4*d
Let l = -4 - -9. Find the second derivative of 2*i**4 - 3*i - 4*i**l - 2*i**4 wrt i.
-80*i**3
Let a = 2 - 0. What is the third derivative of -4*k**5 + k**2 + 4*k**a - 8*k**2 wrt k?
-240*k**2
Find the third derivative of 11*n**2 - 24*n**2 + 31*n**5 + 3*n**2 wrt n.
1860*n**2
Let v(s) = -4*s**2 + 3*s. Suppose 5*b = -5 + 25. Let j(u) = -5*u**2 + 4*u + 1. Let l(a) = b*v(a) - 3*j(a). What is the first derivative of l(r) wrt r?
-2*r
Let o(g) be the first derivative of 11*g**4/2 - 2*g**2 - 2. What is the second derivative of o(x) wrt x?
132*x
Let z(y) = y - 1. Let w(p) = 4*p + 6*p**3 + 4*p**2 + 4*p**2 + 4*p**3 - 4. Let m(u) = -w(u) + 4*z(u). What is the third derivative of m(h) wrt h?
-60
What is the derivative of -6*l - 3 + 6*l + 5 + 12*l**2 wrt l?
24*l
Find the third derivative of 7*r**2 - 7*r**2 - 10*r**3 + 12*r**2 wrt r.
-60
Let k(q) be the first derivative of -8*q**7/7 - 11*q**3 + 4. Find the third derivative of k(g) wrt g.
-960*g**3
Let k(d) be the first derivative of -5*d**5 - 2*d**5 + 8*d**5 + 3 - d. Differentiate k(o) wrt o.
20*o**3
Let t(l) = l**2 + 8*l. Let p be t(-9). Let b(m) = -m + 12. Let x be b(p). Find the first derivative of h**x - 3 - 2*h**3 + 2 wrt h.
-3*h**2
Find the third derivative of -9*n**2 + 0*n**2 - 116*n**4 + 88*n**4 wrt n.
-672*n
Let p(u) = -55*u**3 - 76*u**2 + 11*u. Let r(f) = 11*f**3 + 15*f**2 - 2*f. Let i(l) = -2*p(l) - 11*r(l). What is the third derivative of i(c) wrt c?
-66
Let c(y) be the first derivative of -2*y**4 - 23*y**3/3 - 6. What is the third derivative of c(a) wrt a?
-48
Let c = -17 - -20. Let h(v) = -v. Let s(k) = k + 2. Let o(f) = c*h(f) - s(f). Differentiate o(y) wrt y.
-4
Let v(y) be the second derivative of -y**8/560 + y**5/60 - y**3/2 - 3*y. Let l(j) be the second derivative of v(j). What is the second derivative of l(r) wrt r?
-36*r**2
Let z(v) = -5*v**2 - 11*v - 3. Let g(x) = -x**2 - x - 1. Let s(a) = -3*g(a) + z(a). What is the second derivative 