v*h**4 + 0*h + 5*h wrt h.
-48*h**2
Let s(y) be the first derivative of 0*y + 13 + 12/7*y**7 + 0*y**6 + 0*y**5 + 5/3*y**3 + 0*y**4 + y**2. What is the third derivative of s(i) wrt i?
1440*i**3
Let i(u) = 4*u**2 - 43*u - 114. Let h(s) = s**2 + 2. Let f(z) = -2*h(z) + i(z). What is the derivative of f(k) wrt k?
4*k - 43
Let o(n) = 23*n**2 - 112*n - 12. Let j(d) = 24*d**2 - 111*d - 9. Let r(b) = -4*j(b) + 3*o(b). Find the second derivative of r(v) wrt v.
-54
What is the third derivative of 85*m**2 - 115*m**5 - 122*m**2 + 96*m**2 wrt m?
-6900*m**2
What is the second derivative of -3*g**3 - 24*g**4 - 2*g**2 + 62*g - 2*g**3 + 7*g + 5*g**3 wrt g?
-288*g**2 - 4
Let b(z) be the second derivative of 3*z**5/20 - 49*z**4/6 - z**3/3 + 82*z**2 + 201*z. What is the second derivative of b(k) wrt k?
18*k - 196
What is the third derivative of 4 - 1 - 5*g**2 - 53*g**3 + 28*g**3 wrt g?
-150
Suppose 2*a + 2*a = 40. What is the derivative of 12*c**3 - 2*c**3 + 3*c**3 + 0*c**3 - a wrt c?
39*c**2
Differentiate 31*p - 2*p**2 - 12 + 76*p - 229*p + 68*p with respect to p.
-4*p - 54
Let j = 53 - 51. What is the first derivative of 6*b + 8*b - 20 - 2*b - j*b wrt b?
10
Let l(w) be the third derivative of 1/30*w**5 + 0*w - 2 + 0*w**3 - 38*w**2 - 3/2*w**4. Find the second derivative of l(a) wrt a.
4
Let x(s) be the second derivative of 31*s**5/5 + 25*s**4/6 + 256*s. Find the third derivative of x(w) wrt w.
744
Let j(p) be the third derivative of 0 + 24*p**2 + 29/24*p**4 + 8/3*p**3 + 0*p. Find the first derivative of j(y) wrt y.
29
Let v(q) be the first derivative of 145*q**6/3 - 2*q**2 - q + 18. What is the second derivative of v(c) wrt c?
5800*c**3
Let f(n) be the second derivative of -121*n**7/42 + 27*n**4/2 + 164*n. What is the third derivative of f(k) wrt k?
-7260*k**2
Differentiate 511*d + 510*d - 148 + 160*d**2 - 1021*d wrt d.
320*d
Let d(h) be the first derivative of -19 + 0*h**2 + 13*h + 0*h**3 - 3/2*h**4. What is the first derivative of d(l) wrt l?
-18*l**2
Let f be (-4)/18 - 222/(-27). What is the third derivative of 2*v**2 - 2*v**3 + 3*v**2 + f*v**3 + v**3 wrt v?
42
Suppose 11*t - 28 = 13*t. Let j be (-80)/t + 8/28. Differentiate -j*z + 3 + 7 + 4*z + 12*z with respect to z.
10
Let r(y) be the first derivative of 0*y**5 + y**2 + 0*y**3 - 3 + 0*y**4 - 11/6*y**6 + 0*y. Find the second derivative of r(c) wrt c.
-220*c**3
Find the third derivative of 4*b**3 - 221*b**2 - 7*b**6 + 9*b**6 - 8*b**6 + 631*b**2 wrt b.
-720*b**3 + 24
Let y be (3/9)/((-9)/(-459)). What is the third derivative of y*d - 17*d + 3*d**2 - 10*d**3 wrt d?
-60
What is the derivative of 45 + 18*a**2 + 13 - 7 + a wrt a?
36*a + 1
Let l(q) be the first derivative of -4/7*q**7 + 0*q**4 + 0*q**2 - 5/3*q**3 + 0*q**6 + 0*q**5 + 0*q - 7. What is the third derivative of l(a) wrt a?
-480*a**3
Let j(k) = 32*k**3 + 28*k**2 + 99*k + 6. Let a(w) = -17*w**3 - 15*w**2 - 50*w - 3. Let r(t) = 11*a(t) + 6*j(t). Find the second derivative of r(s) wrt s.
30*s + 6
Let n(v) be the second derivative of 4*v**5/5 + 5*v**3/6 + v**2 - 6*v. What is the second derivative of n(w) wrt w?
96*w
Let c(y) = -2*y**3 - 29*y**2 + 199*y - 5. Let a(t) = t**3 + 15*t**2 - 100*t + 2. Let o(f) = 5*a(f) + 2*c(f). What is the second derivative of o(m) wrt m?
6*m + 34
Let w(b) = 277*b**3 + 2*b**2 + 2*b - 114. Let n(k) = 831*k**3 + 7*k**2 + 7*k - 340. Let x(g) = -2*n(g) + 7*w(g). Find the first derivative of x(r) wrt r.
831*r**2
Let h(s) = s**2 - 1. Suppose 0 = -3*r - 6 + 15. Let u be h(r). Find the second derivative of -5*j**5 - u*j - 16*j + 20*j wrt j.
-100*j**3
Find the third derivative of -111780 + 2*i**4 + 111780 - 96*i**2 - 8*i**3 wrt i.
48*i - 48
Let a(l) be the third derivative of -11*l**8/168 - l**5/60 - 23*l**4/24 - 5*l**2 - 6. Find the third derivative of a(c) wrt c.
-1320*c**2
Let s be 4*2/56 - 54/(-14). Find the second derivative of -7*y**s + y**4 + 6*y - 6*y**4 wrt y.
-144*y**2
Let i(y) be the first derivative of -y**6/15 + 2*y**3/3 - y - 21. Let k(t) be the first derivative of i(t). Find the second derivative of k(z) wrt z.
-24*z**2
Let y(p) = -p**4 + 2*p**3 + p**2 - p - 1. Let i(s) = -s**4 - 18*s**3 - 4*s**2 - 170*s + 3. Let z(w) = -i(w) - 3*y(w). Find the third derivative of z(g) wrt g.
96*g + 72
Let w(s) = -11*s**2 - 12. Let h(j) = -4*j + 4*j - 6 - 6 - 10*j**2. Let a(k) = -6*h(k) + 5*w(k). Find the first derivative of a(u) wrt u.
10*u
Let n(s) be the second derivative of 5*s**8/7 - 21*s**4/4 - 250*s. What is the third derivative of n(y) wrt y?
4800*y**3
Suppose -22*g - 6 = -23*g. Find the second derivative of 11*y**5 + 2*y**5 + g*y - 27*y wrt y.
260*y**3
Let j(w) = -12*w**2 - 2*w - 16. Let z(f) = 44*f - 45*f + 0*f**2 - 4*f**2 - 5. Let a(k) = 5*j(k) - 16*z(k). Find the second derivative of a(t) wrt t.
8
Let p(m) be the third derivative of 9*m**2 - 7/120*m**6 + 5/6*m**4 + 0 + 0*m**5 + 0*m**3 + 0*m. What is the second derivative of p(j) wrt j?
-42*j
Find the second derivative of 12*f**3 - 26*f - 52*f - 35*f wrt f.
72*f
Let k(u) be the second derivative of 3*u**7/14 + u**6/10 + 5*u**4/4 + u**3/6 - 37*u. Find the third derivative of k(f) wrt f.
540*f**2 + 72*f
Suppose 0 = -4*a + y + 11, -4*y - 1 = -21. What is the second derivative of 410 - 410 + 28*f + a*f**2 wrt f?
8
Let m(v) be the third derivative of 5*v**9/36 + v**5/12 - 29*v**3/6 + 313*v**2 + 1. What is the third derivative of m(b) wrt b?
8400*b**3
Let a be 1/2 + (-22)/(-4). Suppose 2*f + 6 = 3*f. Differentiate -4*t**2 + 6 - 3 + a*t - f*t wrt t.
-8*t
Find the third derivative of 4*d**3 - 102*d**3 + d**2 - 43*d**3 - 35 wrt d.
-846
Let o(z) = 2*z**3 - z**2 + 2*z - 1. Suppose 0 = r + 4*y - 17, -r + 5 = -2*y + 3*y. Let i be o(r). Differentiate 4*x**i - x**2 - 6 - 1 + 3 with respect to x.
6*x
Let x(r) be the second derivative of 17*r**6/10 + r**3/6 - 97*r**2/2 - 40*r. Differentiate x(c) with respect to c.
204*c**3 + 1
Find the first derivative of -20*p - 85*p - 93 + 40*p - 42*p wrt p.
-107
Let d(v) be the third derivative of 2*v**7/105 + 11*v**5/60 - 79*v**4/24 - 132*v**2. Find the second derivative of d(a) wrt a.
48*a**2 + 22
Let m(o) = -o**3 - o**2 - o. Let q(n) = 261*n**3 - 2*n**2 - 2*n + 561. Let i(c) = 2*m(c) - q(c). What is the derivative of i(l) wrt l?
-789*l**2
Suppose -6*k + 8 + 4 = 0. Let d(u) be the first derivative of -5/4*u**4 + 0*u**k + 8 - 2*u**3 + 0*u. Find the third derivative of d(w) wrt w.
-30
Differentiate -68 + 149*v**3 + 267*v**2 + 266*v**2 - 533*v**2 wrt v.
447*v**2
Let v(j) be the second derivative of 0 + 19/2*j**2 - 17/6*j**3 + 17*j. Find the first derivative of v(l) wrt l.
-17
Let j(g) be the first derivative of -43*g**3/3 - 2*g**2 + 249*g - 246. Differentiate j(o) with respect to o.
-86*o - 4
Find the second derivative of 2*y**2 + 9*y + 4*y**4 - 14 + 3 + 13 wrt y.
48*y**2 + 4
What is the derivative of 8*b**3 - 131 + 4*b**2 - 2*b**2 - 8*b**3 + 22*b**3 wrt b?
66*b**2 + 4*b
Let w be (5 - 6)*2*-1. Let m(r) = 7*r**3 + 0*r**w - 3*r**3 + 6*r**2. Let d(y) = -y**3 - y**2. Let k(c) = 2*d(c) + m(c). Find the third derivative of k(o) wrt o.
12
Let y(i) = i + 1. Let l(v) = -11*v**2 + 11*v + 209. Let f(g) = -l(g) + 11*y(g). Differentiate f(h) with respect to h.
22*h
Let l(h) be the third derivative of 2*h**7/105 - 3*h**6/20 - h**4/3 - h**3/6 + 55*h**2. What is the second derivative of l(j) wrt j?
48*j**2 - 108*j
Let g(p) = -36*p + 86. Let f(n) = -71*n + 173. Let x(h) = -3*f(h) + 7*g(h). Differentiate x(m) wrt m.
-39
Let j(w) = -5*w**5 + 16*w**3 - 76*w**2 + 4*w - 4. Let c(x) = x**3 - x**2 - x + 1. Let r(h) = 4*c(h) + j(h). Find the third derivative of r(q) wrt q.
-300*q**2 + 120
Let n be (2 + (-8 - (-11 + 5)))/2. Let m(s) be the second derivative of -7*s + 3*s**2 + n*s**4 - 1/10*s**5 + 0 + 0*s**3. What is the derivative of m(x) wrt x?
-6*x**2
Find the first derivative of -35 - 2*r**3 + 37 + 68 + 0*r**3 - r**2 wrt r.
-6*r**2 - 2*r
Let w(v) be the second derivative of -1/42*v**7 + 19*v + 0 + 0*v**5 + 0*v**2 + 0*v**6 - 1/2*v**3 - 1/2*v**4. Find the second derivative of w(z) wrt z.
-20*z**3 - 12
Suppose -2*l + 0*p - p + 5 = 0, 0 = 4*l - p - 7. Find the second derivative of 8*v**2 - 12*v + 10*v**4 - 8*v**l wrt v.
120*v**2
Let m(c) = -36*c - 194. Let f(l) = 39*l + 196. Let y(i) = -7*f(i) - 6*m(i). Find the first derivative of y(v) wrt v.
-57
Let l(c) = -c**4 - c**3 + 2*c**2 - 