19 wrt z.
68*z**3
Let y(p) = 9*p**3 + 7*p**2 + 28*p + 7. Let r(o) = 4*o**3 + 3*o**2 + 14*o + 3. Let b(g) = 7*r(g) - 3*y(g). Find the second derivative of b(m) wrt m.
6*m
Let v(x) = -x**2 - x. Let n be 9/12 + 2/8. Let y(z) = 3*z**4 - 5*z**2 - 5*z + 2. Let t(l) = n*y(l) - 5*v(l). Differentiate t(k) with respect to k.
12*k**3
Suppose -4*n = -5*t + n, -3*t - n = -12. Let f be t/(-1 + 8/5). What is the third derivative of -7 + 3*i**f - 3*i**2 + 7 + 0*i**2 wrt i?
180*i**2
Let d(c) be the third derivative of 0*c**3 + 0*c - 2*c**2 + 0*c**4 + 1/30*c**6 + 1/15*c**5 + 0. What is the third derivative of d(g) wrt g?
24
Differentiate 0 + 88*o**4 - 74*o**4 + 4 + 11 with respect to o.
56*o**3
Suppose -2*s + 0*s = -12. Let t(n) be the second derivative of 1/30*n**s + 0*n**3 - n + 0 + 0*n**5 + 0*n**4 + n**2. Differentiate t(z) with respect to z.
4*z**3
Let m(u) = -8*u - u**2 - 4 - u + 2*u. Let i be m(-6). What is the third derivative of -i*s**3 + 0*s**3 - s**2 + 0*s**3 wrt s?
-12
Let o(c) be the second derivative of -c**8/3360 - c**7/2520 - c**4/6 + c. Let x(g) be the third derivative of o(g). What is the third derivative of x(w) wrt w?
-12
Let s(j) be the second derivative of j**4/6 + j**3/6 + 7*j**2/2 - 5*j. Let z(n) be the first derivative of s(n). What is the derivative of z(x) wrt x?
4
Let a(y) be the third derivative of -y**5/60 + 4*y**3/3 + 11*y**2. What is the first derivative of a(l) wrt l?
-2*l
Find the third derivative of x**2 - 8*x**2 + 12*x**2 - x**5 wrt x.
-60*x**2
Find the third derivative of -x**5 + 6*x**5 - x**2 - 5*x**2 + 3*x**2 wrt x.
300*x**2
Let m(n) be the third derivative of 1/210*n**7 + 0*n**5 - n**2 + 0*n**4 + 0*n + 1/6*n**3 + 0 + 0*n**6. Differentiate m(l) wrt l.
4*l**3
Suppose -8*k = -9*k. Find the second derivative of k*n + 0*n + 3*n - n**2 wrt n.
-2
Let u(a) = -6*a**2 + 4. Let j(k) = 9*k**2 - 6. Let z be (-39)/(-9) + (-4)/(-6). Let t(r) = z*j(r) + 7*u(r). Find the first derivative of t(c) wrt c.
6*c
Let c(k) be the second derivative of 5*k**7/42 + 17*k**3/6 + k**2/2 - 24*k. What is the second derivative of c(h) wrt h?
100*h**3
Find the third derivative of 24*l**4 + 30*l**4 + 14*l**2 - 36*l**4 wrt l.
432*l
Let m(c) be the second derivative of 7*c**6/10 + 17*c**3/6 - 16*c. What is the second derivative of m(t) wrt t?
252*t**2
Let o(x) be the first derivative of x**4 - 4*x**2 + 5. Find the second derivative of o(d) wrt d.
24*d
Let p(n) be the second derivative of -n**6/10 + 3*n**2 + 5*n. What is the first derivative of p(z) wrt z?
-12*z**3
Find the second derivative of k + 8*k + 2125*k**3 - 2063*k**3 wrt k.
372*k
Let q(p) = 1. Let x(g) = 17*g**2 + 14*g - 1. Let n(o) = -q(o) - x(o). What is the second derivative of n(v) wrt v?
-34
Find the first derivative of 2 + 3 - 4 - 4*v**2 + 3 wrt v.
-8*v
Suppose h + 4 = 2*h. Suppose 0 = -h*s + 7 + 5. What is the second derivative of -z**3 - 2*z**3 - z + z**s wrt z?
-12*z
Let x(n) = -3*n + 2 + n**2 + 2 + 0. Let y(s) = -4*s + s**2 - 2*s + 7 + 0*s. Let f(p) = -7*x(p) + 4*y(p). What is the second derivative of f(m) wrt m?
-6
Let j be (-1)/7 - (-144)/28. What is the derivative of -a + a - 6*a**3 + j - 1 wrt a?
-18*a**2
Let v(k) be the second derivative of 5*k + 0 - 9/2*k**2 + k**3. What is the first derivative of v(x) wrt x?
6
Suppose -5*w + 4*w = -2. What is the derivative of 8*k**4 - 18*k**3 + 1 + 18*k**3 - w*k**4 wrt k?
24*k**3
Find the second derivative of -6 + 7*s**5 + 6 + 5*s - 4*s**5 wrt s.
60*s**3
Let w = 9 - 5. Suppose -w*b = 3 - 11. What is the third derivative of -2*d**6 - 3*d**2 + 0*d**b + d**2 wrt d?
-240*d**3
Suppose -4*x + f + 15 = 0, -5*x - 6*f = -2*f - 24. What is the second derivative of -x + s**3 - 2*s + 4 wrt s?
6*s
Let c(g) = 2*g**4 - 7*g**3 - 7*g - 6. Let u be -5 + 0 - (1 + 1). Let a(b) = -b**4 + 4*b**3 + 4*b + 3. Let i(m) = u*a(m) - 4*c(m). Differentiate i(r) wrt r.
-4*r**3
Let n = 1 - -3. What is the second derivative of -4*u + 3*u + n*u**2 + 2*u wrt u?
8
Let d be (-42)/(-10) + (-5)/25. Find the second derivative of 5*j**4 - 2*j - 2*j - 5*j**d - 2*j**4 wrt j.
-24*j**2
Let j(l) = -1. Let n(z) = -4*z + 2. Let y(d) = 8*j(d) - n(d). Differentiate y(x) with respect to x.
4
Let z(v) = v + 8. Let l be z(-6). What is the third derivative of -2*o**6 - 4*o**3 + 3*o**l + 4*o**3 - 4*o**2 wrt o?
-240*o**3
Suppose -8 = 4*m - 3*r, m + m + 5*r - 22 = 0. Let d be (-2 + 0)/m + 4. Find the third derivative of -u**3 - u**3 + 0*u**d + u**2 wrt u.
-12
Let j(m) be the third derivative of -m**8/168 + 11*m**7/105 - m**4/24 - m**3/6 + 12*m**2. Find the second derivative of j(y) wrt y.
-40*y**3 + 264*y**2
Let f = -5 + 8. Let x be 136/36 - 2/(-9). What is the derivative of -v**f + 9*v - 9*v + x wrt v?
-3*v**2
Suppose -3*d = d - 8. Suppose -2*z - 10 = 4*k, -d*z + 5*k = 2 - 28. Differentiate f**3 + f**3 - 1 - f**z with respect to f.
3*f**2
Suppose 0*x + 3*x = 12. Suppose -v = -x*v + 9. Find the second derivative of -f + 0*f**v + f**3 - 2*f wrt f.
6*f
Let b(f) be the third derivative of 0*f**4 + 0*f + 0 + 1/60*f**6 + 5/6*f**3 + 2*f**2 + 0*f**5. What is the first derivative of b(c) wrt c?
6*c**2
Let r(b) = -7*b**3 - 21*b**2 - 5*b. Let y(p) = -4*p**3 - 11*p**2 - 3*p. Let a(f) = -3*r(f) + 5*y(f). What is the third derivative of a(d) wrt d?
6
Find the third derivative of 3*t**4 + 14*t**6 - 24*t**6 + 4*t**2 - 3*t**4 wrt t.
-1200*t**3
Let d(p) = -2*p**4 + 6*p**3 - 6*p**2 - 48. Let w(j) = -4*j**4 + 11*j**3 - 11*j**2 - 95. Let c(q) = 11*d(q) - 6*w(q). Differentiate c(x) with respect to x.
8*x**3
Let y(r) be the second derivative of -7*r**6/10 - 13*r**2 - 3*r. Differentiate y(l) wrt l.
-84*l**3
Let y(c) = 17*c**3 - 14*c - 5. Let p(l) = -17*l**3 + 15*l + 4. Let x(f) = 5*p(f) + 4*y(f). Find the second derivative of x(g) wrt g.
-102*g
Let m(h) be the first derivative of -3*h**5 + h + 15. What is the first derivative of m(k) wrt k?
-60*k**3
Suppose m + 0 = 1. Let g be (-4)/(-2) - (-1 + m). What is the first derivative of -x**g - 1 + 3 - 1 wrt x?
-2*x
Let z be (-45)/35 - 2/(-7). Let u = 1 - z. What is the second derivative of a**2 - u*a + 4*a + a wrt a?
2
Let f be (-2)/11 + (-336)/(-33). Suppose 0 = -x + 3*x + 3*y + 6, 5*x + 5*y = -f. What is the third derivative of 6*i**2 + x - 4*i**2 + 0 + 2*i**6 wrt i?
240*i**3
Let o(s) = -s**2 + 10*s + 3. Let g be o(7). Differentiate 33*x + 3 + 3 - g*x with respect to x.
9
Let o(b) be the third derivative of -1/168*b**8 + 0*b**7 + 0*b**3 + 0 + 0*b - 2*b**2 + 0*b**6 - 1/24*b**4 + 0*b**5. What is the second derivative of o(z) wrt z?
-40*z**3
Let g(f) = -f**4 - 12*f**2 + 11. Suppose 0 = -2*w + 2 + 2. Let y(i) = i**2 - 1. Let c(a) = w*g(a) + 22*y(a). What is the third derivative of c(k) wrt k?
-48*k
Let n(d) be the second derivative of 11*d**6/30 - 12*d**2 + 20*d. What is the derivative of n(z) wrt z?
44*z**3
Let f(x) be the second derivative of -1/4*x**4 - 5*x + 0*x**3 + 3/2*x**2 + 0. Find the first derivative of f(t) wrt t.
-6*t
Let i(u) = -10*u**2 - 5. Let k(q) = 21*q**2 + 9. Let f(p) = 5*i(p) + 2*k(p). Differentiate f(l) with respect to l.
-16*l
Let d(k) be the first derivative of -k**5/20 + 2*k**3/3 - 2*k - 4. Let n(x) be the first derivative of d(x). What is the second derivative of n(m) wrt m?
-6*m
Let d(t) = 7*t**3 - 6*t**2 - t. Let n(s) = -6*s**2 + 11*s**2 - 6*s**3 + 0*s**3. Let c(y) = -5*d(y) - 6*n(y). What is the second derivative of c(l) wrt l?
6*l
Let c(o) be the third derivative of -o**7/42 + 2*o**3/3 - 7*o**2. Differentiate c(x) wrt x.
-20*x**3
Suppose h + 2*b = 3*b + 6, 5*h + 5*b = 10. What is the second derivative of -10*v - v**h - 2*v**4 + 5*v wrt v?
-36*v**2
Let u be ((-2)/2)/((-2)/16). Differentiate -11 + 2*a**4 + 1 + u with respect to a.
8*a**3
What is the third derivative of 4 - w**5 - 4 + 3*w**5 - 3*w**2 wrt w?
120*w**2
Suppose h = -1, 5*w - h - 5 = 6. Find the second derivative of y**2 - y**2 + y - 5*y + y**w wrt y.
2
Let g(z) be the third derivative of z**8/112 + 2*z**5/15 + 3*z**2. What is the third derivative of g(r) wrt r?
180*r**2
Let d = 96 - 56. Suppose 2*u + 4 = 3*u, 3*u - d = -4*y. Differentiate -2 - 3 + y - 2*k**2 with respect to k.
-4*k
Let d(f) be the third derivative of 0*f + 0*f**4 + f**2 + 0 - 1/3*f**3 + 1/30*f**5. Find the first derivative of d(g) wrt g.
4*g
Find the first derivative of -108*h + 108*h - 14 - 15*h**2 wrt h.
-30*h
Let k(s) = -18*s