wrt m.
40*m**3
Let w(h) = h**3 - 2*h**2 - 4*h + 1. Let v be w(5). What is the second derivative of -v + 56 - 5*p**2 + p wrt p?
-10
Let v(k) be the second derivative of -2/3*k**4 + 0*k**3 + 0 - 7*k + 3/2*k**2. What is the first derivative of v(x) wrt x?
-16*x
Let u = 8 + -5. Let q(j) = 2*j**4 + 3*j**3 - 3*j + 3. Let t(s) = -s**4 - s**3 - s**2 + s - 1. Let n(y) = u*t(y) + q(y). Find the third derivative of n(k) wrt k.
-24*k
Let z(u) be the first derivative of 6*u**5/5 + 19*u**2/2 - 22. What is the second derivative of z(d) wrt d?
72*d**2
Suppose -d = -h, -4*d - h = -2 - 8. Suppose d*x - 12 = -2*x. Find the third derivative of 5*o**2 + 2*o**4 - x*o**2 + 0*o**2 wrt o.
48*o
What is the derivative of 17 + 4 - 14 - 12*a**4 wrt a?
-48*a**3
Suppose a - 2*t - 6 = 0, -4*t = 2*a + t + 6. What is the derivative of 4 - 8 - a*p + 1 wrt p?
-2
Let s = 784/5 + -156. Let f(x) be the first derivative of 0*x**4 + 0*x**3 - s*x**5 - 4 + x**2 + 0*x. Find the second derivative of f(b) wrt b.
-48*b**2
Let m(r) be the first derivative of 10*r**3/3 + 3*r**2 + 2. What is the second derivative of m(i) wrt i?
20
What is the second derivative of -5*t**3 - 35*t**3 + 7*t**3 + 33*t - 12*t**3 wrt t?
-270*t
What is the third derivative of -3 + 25*b**2 + 3 + 53*b**5 - 12*b**5 wrt b?
2460*b**2
Let i(j) be the first derivative of -j**6/30 - j**4/6 + 3*j - 3. Let g(c) be the first derivative of i(c). What is the third derivative of g(z) wrt z?
-24*z
Let v(u) be the first derivative of 0*u - 3/5*u**5 + 0*u**2 + 0*u**4 - 2/3*u**3 - 4. Find the third derivative of v(k) wrt k.
-72*k
Let r(a) be the first derivative of 0*a**3 + 0*a**2 - 1 + 2*a + 0*a**4 + 3/5*a**5. Differentiate r(f) wrt f.
12*f**3
Let b be 2 + 58/(-30) + (-3)/(-5). Let p(h) be the second derivative of -h + 0 + b*h**3 + 1/2*h**2. Differentiate p(f) with respect to f.
4
Let t = -23 - -23. Let x(q) be the first derivative of t*q**3 - 2/5*q**5 + 0*q**2 - q + 0*q**4 - 1. What is the derivative of x(k) wrt k?
-8*k**3
Suppose -3*r = -4*r + 5*a + 23, 5*r - 5*a = 35. Suppose -2*i + 14 = 2*c, c - 4*i + 25 = 4*c. Differentiate -5 + t**3 + 3 + r*t**c wrt t.
12*t**2
Let y be (-1)/((0 + 2)/(-2)). Let j(k) = 8*k**3 - 3*k**2 + 3. Let l(g) = g**3 - g**2. Let z(c) = y*j(c) - 3*l(c). Differentiate z(d) with respect to d.
15*d**2
Let a be 4/(-10) + (-39)/15. Let r be 1/a - 1/(-3). Find the second derivative of u**3 + r*u + 2*u + 0*u**3 wrt u.
6*u
Let q(v) = v - 3. Let u be q(5). Suppose -2 = -2*f + 5*b - 23, -4*b = -20. What is the third derivative of -2*h**5 - 3*h**f + 2*h**u + 3*h**5 + 0*h**2 wrt h?
60*h**2
Let b(i) = 10*i**2 - 8*i - 6. Let u(l) = 7 - 1 + 9*l - 10*l**2 + 1. Let q(d) = 7*b(d) + 6*u(d). Find the second derivative of q(p) wrt p.
20
Let b = 2 + 3. Let j = -2 + b. What is the second derivative of j*z + 0*z**5 - z**5 - 5*z wrt z?
-20*z**3
Let q(m) be the second derivative of 0 - 3/56*m**8 + 0*m**5 - 5*m + 0*m**7 + 0*m**3 + 0*m**2 + 0*m**6 + 1/3*m**4. Find the third derivative of q(r) wrt r.
-360*r**3
Let l be (-3)/9 + 40/12. What is the second derivative of 7*t**4 - 7*t**4 + 0*t + 6*t**4 - l*t wrt t?
72*t**2
Let n(s) be the second derivative of -s**8/56 + 2*s**7/7 + 2*s**4/3 - s**3/2 - 18*s + 2. Find the third derivative of n(g) wrt g.
-120*g**3 + 720*g**2
Let h(v) = -v**6 + v**2 + v. Let u(d) = -9*d**6 + 3*d**2 + 4*d. Let s be ((-12)/4)/(3/(-4)). Let c(y) = s*h(y) - u(y). Find the third derivative of c(f) wrt f.
600*f**3
Differentiate -916*w - 10 - 5*w**2 + 916*w with respect to w.
-10*w
Let k(h) = 5*h**5 - 2*h**2 + 3*h - 3. Let g(p) = 4*p**5 - 2*p**2 + 2*p - 2. Let d(u) = -3*g(u) + 2*k(u). What is the third derivative of d(x) wrt x?
-120*x**2
Suppose -l = -0*l - 1, -10 = 3*h + 2*l. Let g = 11 + h. Find the second derivative of 7 - g - 3*r**2 + 3*r wrt r.
-6
Let g(c) be the second derivative of c + 0*c**2 + 0 - 1/30*c**6 + 0*c**3 + 0*c**5 - 1/12*c**4. What is the third derivative of g(f) wrt f?
-24*f
Let s(k) = 46*k + 63. Let u(m) = -45*m - 62. Let h(o) = -4*s(o) - 5*u(o). Differentiate h(f) wrt f.
41
Let o(l) = -l**2 - 4*l + 3. Let x be o(2). Let v be (x/12)/(1/(-4)). What is the second derivative of -t - t**v + t + t wrt t?
-6*t
Let w(n) be the third derivative of n**8/56 + n**7/105 - n**5/15 + 3*n**4/8 + 5*n**2. Find the third derivative of w(z) wrt z.
360*z**2 + 48*z
Suppose 0 = 6*h - 5*h + 3, h = 3*j - 12. What is the second derivative of m - m**3 + 3*m**3 - m**j wrt m?
6*m
Let s(r) be the third derivative of 11*r**6/40 - 17*r**4/24 - 17*r**2. Find the second derivative of s(y) wrt y.
198*y
Let i(b) be the first derivative of b**6/180 + b**5/60 - b**3 - 1. Let m(y) be the third derivative of i(y). What is the second derivative of m(u) wrt u?
4
Let a(i) = i**2 - 2*i - 4. Let w be a(4). Let c(o) be the first derivative of 0*o**3 + 3/2*o**2 + 0*o - 2 + 3/4*o**w. Find the second derivative of c(h) wrt h.
18*h
Let r(t) be the second derivative of -2*t + 0 + 0*t**4 + 0*t**3 - 3*t**2 + 1/5*t**5. Differentiate r(o) with respect to o.
12*o**2
Find the second derivative of 33*y**4 + 4*y + 0*y + 2*y - 28*y wrt y.
396*y**2
Let l(d) = -30*d**5 + 5*d**4 - 42*d. Let z(q) = q**5 - q**4 + q. Let c(u) = l(u) + 5*z(u). What is the second derivative of c(i) wrt i?
-500*i**3
Let j be (9*-1)/3 + 0. Let y(r) = -r**2 + 1. Let c(i) = 2*i**2. Let k(o) = j*y(o) - 2*c(o). Differentiate k(t) with respect to t.
-2*t
Let c = -5 + 9. Let v(m) = -3*m**4 + 5*m**3 + 5. Let w(s) = 2*s**4 - 4*s**3 - s - 4. Let g(b) = c*v(b) + 5*w(b). Find the second derivative of g(u) wrt u.
-24*u**2
Let x(q) be the second derivative of q**8/84 + q**5/60 + 2*q**2 + q. Let c(v) be the first derivative of x(v). What is the third derivative of c(r) wrt r?
240*r**2
Let c(v) be the third derivative of 0*v + 0*v**7 - 4*v**2 + 0*v**4 + 0 + 1/30*v**5 + 0*v**3 + 5/336*v**8 + 0*v**6. What is the third derivative of c(a) wrt a?
300*a**2
Suppose -4*c + 7*c - 3 = 0. Let m(t) be the first derivative of -c + 0*t**2 + 1/3*t**3 + 2*t. Find the first derivative of m(l) wrt l.
2*l
What is the third derivative of -7*i**6 - 26*i**2 - 4*i**6 + 3*i**6 + 28*i**2 wrt i?
-960*i**3
Let f(d) = -16*d**4 - 4*d**3 + 11. Let x(c) = -33*c**4 - 9*c**3 + 21. Let l(o) = -9*f(o) + 4*x(o). What is the first derivative of l(b) wrt b?
48*b**3
Let r be (-2)/11 + 32/176. Let f(s) be the first derivative of -1/4*s**4 + r*s + 0*s**3 + 3 + 3/2*s**2. What is the second derivative of f(y) wrt y?
-6*y
Let z(n) be the third derivative of 0*n**6 + 1/2*n**3 + 0*n + 0*n**5 + 0*n**4 + 0 + 1/105*n**7 - 3*n**2. Differentiate z(d) wrt d.
8*d**3
Let a(f) be the third derivative of -4*f**7/105 - 11*f**5/30 - 16*f**2. Find the third derivative of a(g) wrt g.
-192*g
Suppose -2*w + 3*q + 4 = -1, 0 = 5*w + q - 21. What is the derivative of -w*f - f - 2*f - 2 + 6*f wrt f?
-1
Let p(c) be the third derivative of 1/30*c**5 + 3*c**2 + 0*c**3 + 0 + 0*c**6 + 0*c + 0*c**4 + 1/105*c**7. What is the third derivative of p(z) wrt z?
48*z
Let s be (1/4)/((-2)/(-8)). Differentiate -2*m + 4 - s - 1 + 4*m wrt m.
2
Suppose -y - 3 = -9. Find the second derivative of 2*s**5 - 4*s - y*s**5 - 4*s**5 + 9*s**5 wrt s.
20*s**3
Let q(b) be the second derivative of 0*b**3 - 3*b + 0 - 1/20*b**5 + 0*b**2 + 1/4*b**4. What is the third derivative of q(y) wrt y?
-6
Let w(t) = t - 1. Let r(a) = -2*a - 5. Let y be -1 - 3 - (0 + -3). Let h(x) = y*r(x) + w(x). What is the first derivative of h(p) wrt p?
3
Let h = 1 + 3. Find the first derivative of -2 + 4 - h*w - 3 - 1 wrt w.
-4
Let f(z) be the first derivative of -3/4*z**4 - 3*z - 3 + 0*z**2 + 0*z**3. What is the first derivative of f(o) wrt o?
-9*o**2
Suppose -3*j + 3*x = -21, 3*x - 10 = -2*j + 4*x. Let l = 7 - j. Find the third derivative of r**4 - 3*r**2 + r**2 - 3*r**l wrt r.
-48*r
Let w(d) be the third derivative of d**6/20 - 11*d**5/30 - 8*d**2. What is the third derivative of w(o) wrt o?
36
Let z be 47/9 - (-8)/(-36). Suppose -4*x - 5*g = -8, z*x - 4*g = 4*x + 2. What is the second derivative of -4*k + k + k**2 - 2*k**x wrt k?
-2
Let k(b) be the third derivative of 0 + 1/15*b**5 - 3*b**2 + 0*b**4 + 0*b**6 - 1/70*b**7 + 0*b**3 + 0*b. What is the third derivative of k(h) wrt h?
-72*h
Let f(n) be the first derivative of -n**8/560 - n**5/60 + n**3 - 2. Let d(s) be the third derivative of f(s). What is the second