- 11*d**2 - 55*d. Let r(z) = -2*h(z) + 11*v(z). What is the second derivative of r(g) wrt g?
-120*g**2
Let b(l) be the second derivative of -l**6/2 - l**3/3 - 15*l. Find the second derivative of b(u) wrt u.
-180*u**2
Suppose -1 + 3 = 3*t - 2*j, 0 = 5*t - j - 1. Let h(g) be the first derivative of 3/2*g**2 + 1 - g**3 + t*g. Find the second derivative of h(w) wrt w.
-6
Let i(h) be the first derivative of -4 - h + 7/2*h**2. What is the first derivative of i(m) wrt m?
7
Suppose 0 = -s + 4*s - 6. Find the third derivative of -k**s - 3*k**5 + k - k wrt k.
-180*k**2
Let w(g) = 2*g**2 + 2*g - 2. Let i be w(-2). Suppose i*q = 6*q - 16. Find the third derivative of -4*h**4 + 4*h**2 + 8*h**4 + h**q + 0*h**4 wrt h.
120*h
Let m = -2 - -4. Suppose -4*i + 12 = -m*a, 4 - 2 = a. What is the second derivative of q**i + 5*q - 2*q - 4*q wrt q?
12*q**2
Let s(g) be the first derivative of 7*g**6/6 - 7*g**2/2 + 7. Find the second derivative of s(o) wrt o.
140*o**3
Find the second derivative of -3 + 41*w**2 - 5*w**2 + 3 + 40*w wrt w.
72
Let s(m) be the third derivative of 1/10*m**5 + 0*m**4 + 0 + 0*m + 5*m**2 - 1/6*m**3. Find the first derivative of s(l) wrt l.
12*l
Let t be (4/1 - 0) + -1. Let n be (1 + (-10)/6)/(10/(-75)). What is the second derivative of -8*d**3 - d + t*d**3 + 2*d**n + 5*d**3 wrt d?
40*d**3
Let b(q) = -q**2 + 5*q + 8. Let i be b(6). Suppose -20 = 2*m - 7*m. Differentiate -2*v**4 + 6*v**m - 2 - i*v**4 wrt v.
8*v**3
Let m(j) be the third derivative of -1/40*j**6 + 0*j**5 + 0*j**3 + 0 + 1/8*j**4 + 0*j - 3*j**2. What is the second derivative of m(n) wrt n?
-18*n
Let x(i) be the second derivative of -17*i**8/56 + 5*i**4/12 - 14*i. Find the third derivative of x(b) wrt b.
-2040*b**3
What is the third derivative of 51*a**4 - 51*a**4 - 14*a**2 + 5*a**6 - 20*a**2 wrt a?
600*a**3
Let n(v) = v**2 - 2*v - 5. Let h be n(4). Let r be 2/4*2*h. What is the second derivative of 2*t**4 - t**4 + r*t**4 + 0*t**4 - 2*t wrt t?
48*t**2
Let q(l) be the first derivative of l**8/1680 - l**4/24 + l**3 - 2. Let s(d) be the third derivative of q(d). Find the first derivative of s(g) wrt g.
4*g**3
Suppose z = 2*z - 2. What is the first derivative of 3*m**3 + 1 - 1 + z + m**3 wrt m?
12*m**2
Let p(v) be the second derivative of 0*v**4 - 2*v**2 + 0*v**3 + 0*v**5 + 0 + 1/3*v**6 + 5*v. Differentiate p(h) wrt h.
40*h**3
Let w be (-2 - -1)/((-3)/6). Let m = 22 + -16. What is the third derivative of 6*o**4 + o**w - m*o**4 + 2*o**6 wrt o?
240*o**3
Let i(d) = -d**3 - d**2 + d + 1. Let f(z) = 3*z**3 - z**2 + 6*z - 3*z**2 - z**2 - z**2 + 16. Let y(r) = -f(r) + 6*i(r). Find the first derivative of y(b) wrt b.
-27*b**2
Let y(i) be the third derivative of 1/20*i**5 - 3*i**2 - 4/105*i**7 + 0*i**6 + 0 + 0*i**4 + 0*i**3 + 0*i. Find the third derivative of y(h) wrt h.
-192*h
Let f(n) = -2*n**4 + 9*n**3 - 2*n. Let t(g) = -g**4 + 4*g**3 - g. Let u be -2*(-2)/2*2. Let i(h) = u*f(h) - 9*t(h). Find the second derivative of i(b) wrt b.
12*b**2
Find the third derivative of -28*i + 30*i**6 + 92*i**2 - 61*i**2 + 28*i wrt i.
3600*i**3
Let x(a) be the first derivative of -5*a + a**2 - 2*a**2 - 8 - a**3 + a**2. Differentiate x(j) with respect to j.
-6*j
Find the third derivative of 318 - 3*x**4 + 2*x**2 - 318 wrt x.
-72*x
Suppose 2*l - 3*h = -4, 2*l - 4*h + 4 = -l. Differentiate -8*g**3 + 4*g**3 + 5 + 0 - l wrt g.
-12*g**2
Let n(a) = 17*a**2 - 17*a - 5. Let k(i) = -26*i**2 + 26*i + 8. Let c(b) = -5*k(b) - 8*n(b). Find the second derivative of c(r) wrt r.
-12
Let n be 2*3/((-6)/5). Let m(g) = 6 + 18*g**2 - 2 - 16*g**2. Let f(w) = -3*w**2 - 7. Let r(s) = n*m(s) - 3*f(s). Differentiate r(d) with respect to d.
-2*d
Let x(i) = 3*i**2 - 3. Let k(a) = -a**2 + 1. Let s(t) = 9*k(t) + 2*x(t). Differentiate s(p) wrt p.
-6*p
Differentiate 9*q - 65 + 2*q**3 + 20*q + 29 - 3 with respect to q.
6*q**2 + 29
Let k(r) = 5*r**3 + 3*r**2 - 5. Let d(u) = -u**2 - 1. Let b(f) = -5*d(f) + k(f). Find the third derivative of b(o) wrt o.
30
Find the second derivative of -8*t - 10*t**2 + 17*t**2 - 4*t + 3*t wrt t.
14
Let q = -5 + 5. Differentiate -k + q*k + 6 - k with respect to k.
-2
Let w(f) be the second derivative of -f**4/24 - f**3/2 + 3*f**2/2 - f. Let n(y) be the first derivative of w(y). What is the derivative of n(a) wrt a?
-1
Let z(u) = u**3 + u**2. Let g(s) = 4*s**4 + 4*s**3 + 4*s**2 + 28. Let o(l) = -g(l) + 4*z(l). Differentiate o(p) wrt p.
-16*p**3
Find the third derivative of -6*y**3 + 7*y**3 - 66*y**2 + y**3 + 6*y**6 wrt y.
720*y**3 + 12
Let m(q) be the second derivative of q**7/840 - q**5/20 + q**3 + 3*q. Let z(b) be the second derivative of m(b). What is the second derivative of z(h) wrt h?
6*h
Let o(p) = -21*p**4 - 5*p**3 + 5*p**2 - 4*p - 12. Let h(c) = c**3 - c**2 + c. Let i(b) = -5*h(b) - o(b). What is the second derivative of i(y) wrt y?
252*y**2
Let d(t) be the first derivative of -9*t**4/4 + 14*t**3 + 13. Find the third derivative of d(w) wrt w.
-54
Let i(r) be the third derivative of 0*r - 4*r**2 + 0*r**3 + 1/15*r**5 + 1/4*r**4 + 0. What is the second derivative of i(z) wrt z?
8
Let f(q) be the first derivative of 0*q + 0*q**2 - 4 - 1/3*q**3 - 3/4*q**4. Find the third derivative of f(u) wrt u.
-18
Suppose -3*p = 2*n - 12, 2*p = 5*p - 6. Let j(h) be the first derivative of h**3 - 2*h**n + 2*h - 1 - 4. Differentiate j(r) with respect to r.
-6*r
Let l(z) be the first derivative of -z**4/6 + z**3/6 - 2*z**2 + 2. Let x(d) be the second derivative of l(d). Differentiate x(b) wrt b.
-4
Let b(r) be the second derivative of -1/12*r**4 + 3/56*r**8 - 4*r + 0*r**2 + 0*r**5 + 0 + 0*r**7 + 0*r**6 + 0*r**3. Find the third derivative of b(m) wrt m.
360*m**3
Let g(l) be the second derivative of l**7/1260 - l**6/240 - l**4/12 + 5*l. Let u(f) be the third derivative of g(f). Find the second derivative of u(d) wrt d.
4
Let r(y) be the second derivative of 1/7*y**7 + 0*y**5 + 0*y**3 + 0*y**6 + 4*y + 0*y**2 + 0 - 5/12*y**4. Find the third derivative of r(x) wrt x.
360*x**2
Suppose 0 = f - 3*x + 5 - 16, 3*f - x = -7. Let w(v) = v**2 + 4*v + 2. Let m be w(f). Find the first derivative of m + 3*l**2 - l**2 + 0 wrt l.
4*l
Let b = 3 + 1. What is the third derivative of 9*v**b - v**2 - 13*v**4 + 3*v**2 wrt v?
-96*v
Let k(d) = d**2 - 4*d - 2. Let c be k(5). Find the first derivative of -4*i - 1 - 2 + c*i wrt i.
-1
What is the third derivative of 18*f**5 + 6 + 2*f**5 + 10*f**5 - 4*f**2 wrt f?
1800*f**2
Let y be (-1 + 0/3)*-1. Let p = 6 - y. Let t(g) = 4*g**3 + 7. Let v(k) = -3*k**3 - 6. Let d(j) = p*t(j) + 6*v(j). Find the first derivative of d(q) wrt q.
6*q**2
Let f(t) be the third derivative of 0*t**6 + 0*t**5 - 1/24*t**4 + 0*t**3 + 0 - 1/105*t**7 + 5*t**2 + 0*t. What is the second derivative of f(l) wrt l?
-24*l**2
Let u = 10 - 6. Let h(g) = 4*g**2 + 2*g - 4. Let z(r) = r**3 + 5*r**2 + 3*r - 5. Let d(s) = u*z(s) - 5*h(s). What is the second derivative of d(q) wrt q?
24*q
Let z(d) = 2*d**2 + d - 2. Let u be z(-2). Find the third derivative of -3*b**5 + 2*b**4 - 4*b**4 + 2*b**u - 4*b**2 wrt b.
-180*b**2
Let k = -10 - -13. What is the second derivative of c**3 + 2*c**3 + c**k - 5*c + c**3 wrt c?
30*c
Let s(u) = u**2 - 2*u - 3. Let w be s(3). Suppose 10 + w = 2*c. What is the third derivative of -1 + h**c + 1 + h**2 wrt h?
60*h**2
Let p = -2 - -8. Let u = p - 1. What is the second derivative of -3 - 4*i + 3 + u*i + 3*i**3 wrt i?
18*i
Let p(h) = 3*h**2 + 7*h - 5. Let d(z) = -4*z**2 - 8*z + 4. Let w(b) = -4*d(b) - 5*p(b). What is the second derivative of w(r) wrt r?
2
Let y = -12 + 14. What is the second derivative of 4*n - 161*n**2 + 0*n**5 + 161*n**y - 2*n**5 wrt n?
-40*n**3
Let g(n) = n**3 - 5*n**2 - 7*n + 9. Let p be g(6). Suppose 0 = 7*t - p*t. Find the third derivative of -2*v**2 + 2*v**4 + 2*v**4 + 0 + t wrt v.
96*v
Let a(r) be the third derivative of r**8/168 - 17*r**5/60 + 24*r**2. Find the third derivative of a(l) wrt l.
120*l**2
Differentiate -3*a**2 - 10*a**2 + 4 + 7 with respect to a.
-26*a
Let i be (-2)/(-3) + (-170)/(-6). Find the second derivative of 7*n**5 + i*n + 24*n - 55*n wrt n.
140*n**3
Suppose -2*q - 3*q + 20 = 0. Suppose 0 = h + 4*z - 5*z - 7, 0 = h - q*z - 22. Find the third derivative of h*x**5 - 5*x**2 + 1 + x**2 - 1 wrt x.
120*x**2
Let m(o) be the third derivative of o**7/21 + 7*o**3/2 - 9*o**2. Find the first d