- 4*n**4 wrt n?
-12*n**3
Let a(i) be the first derivative of 119*i**4 + 13*i**2 - 6*i + 531. Find the second derivative of a(p) wrt p.
2856*p
Let o(z) be the first derivative of 1/4*z**4 - 3*z + 0*z**2 + 0*z**3 - 1. Differentiate o(d) with respect to d.
3*d**2
Let l(d) = 25*d**3 - 2*d**2 + d. Let f be l(1). Let v = f + -20. What is the derivative of -3*a**v + 6*a**4 - 12 + 5*a**4 wrt a?
32*a**3
What is the second derivative of -82*g**4 + 488528 - 488528 + g**3 - 199*g wrt g?
-984*g**2 + 6*g
Let s(u) = 56*u**5 - 18*u**4 + 337*u + 16. Let m(i) = 28*i**5 - 8*i**4 + 169*i + 7. Let g(j) = -9*m(j) + 4*s(j). What is the second derivative of g(t) wrt t?
-560*t**3
Find the second derivative of 113*q**3 - 3*q**5 + 38*q - 96*q + 46*q + 30*q + 20*q + 2 wrt q.
-60*q**3 + 678*q
Let r(c) = 5*c + 2. Let p(a) = a**2 + 5*a + 3. Let f = -109 - -107. Let n = 1 - -2. Let q(u) = f*p(u) + n*r(u). Find the second derivative of q(k) wrt k.
-4
Let s(v) = -v**2 + 5*v + 5. Let p be s(5). What is the second derivative of -24*n + 40*n**p - 6*n + 0*n wrt n?
800*n**3
Let b(w) be the first derivative of 0*w - 7*w**2 - 11/3*w**3 + 37. What is the second derivative of b(g) wrt g?
-22
Let z(l) be the first derivative of -156*l**2 - 23*l + 183. Find the first derivative of z(i) wrt i.
-312
Let f(y) be the second derivative of -11*y**5/10 - y**4/6 + 31*y**2/2 + 47*y. What is the third derivative of f(t) wrt t?
-132
Let o(d) be the third derivative of 31*d**7/105 - 65*d**3/6 - 201*d**2. What is the derivative of o(y) wrt y?
248*y**3
Let r(l) = 2*l**5 + l**4 - l**2 + l. Let j(w) = 2*w**5 + 2*w**4 + 4*w + 75. Let x(z) = -j(z) + 2*r(z). What is the second derivative of x(v) wrt v?
40*v**3 - 4
Suppose -26 + 2 = -6*f. Suppose 9*t = 10*t - f. What is the first derivative of -6 + 2*l**4 + 4*l**4 - 17*l**t wrt l?
-44*l**3
Let m = -20 - -28. Let w be (m/(-6))/((-8)/12). What is the third derivative of -4*g**4 - 2*g**4 - 6*g**2 - 2*g**w + 2*g**4 wrt g?
-96*g
Let h(g) = -2*g**3 - 2*g**2 + 3*g + 2. Let l be h(-2). Let w = l - -2. What is the third derivative of -u**w + 2*u**2 - 5*u**6 + 11*u**6 wrt u?
600*u**3
Let h(a) = -12*a**3. Let y be h(-1). Suppose 3*s - 9 = y. Differentiate 1 + 2*p**2 + s*p**2 - 4*p**2 with respect to p.
10*p
Let a = 153 + -123. Find the first derivative of -29*p + a + 6 + 3 wrt p.
-29
Let n(c) be the first derivative of 22*c**6/15 + 11*c**4/4 + 18*c + 26. Let v(g) be the first derivative of n(g). Find the third derivative of v(y) wrt y.
1056*y
Find the third derivative of -q**4 - q**4 + 9*q**2 - 9 + 27*q**4 + 22*q**4 wrt q.
1128*q
Let r(x) be the first derivative of -2*x**3/3 - 30*x**2 - 69*x - 26. Differentiate r(m) wrt m.
-4*m - 60
Let m(b) be the second derivative of 25*b**3/6 + 7*b**2 + 4*b. What is the first derivative of m(z) wrt z?
25
Let i(h) be the first derivative of -h + 17*h + 2 - 15 - 7*h**2. Differentiate i(v) with respect to v.
-14
Let k(y) = 574*y**3 - 2*y**2 - 5*y + 102. Let z(s) = 861*s**3 - 3*s**2 - 7*s + 151. Let g(r) = -7*k(r) + 5*z(r). Find the third derivative of g(w) wrt w.
1722
Suppose -8*q = -9*q. Suppose -5*h + q = -5. Find the first derivative of 8*p**3 - h + 4 + 5 wrt p.
24*p**2
Find the second derivative of j + j + j**4 - 180 + 165 wrt j.
12*j**2
Let l = 9 + -6. What is the derivative of 9 + x**3 + 8 - 12*x**l + 3 wrt x?
-33*x**2
Suppose 24 - 30 = -2*m. Find the third derivative of -75*t**2 - 3 + m + 14*t**3 + 97*t**2 wrt t.
84
What is the third derivative of -148*p**5 - 16*p**2 + 52*p**3 + 54*p**3 - 106*p**3 - 8*p**2 wrt p?
-8880*p**2
Suppose -2*f = -5*r, 0 = -2*r + f - 3 + 2. What is the third derivative of -k**3 + 104*k - 104*k - 16*k**r - 14*k**4 wrt k?
-336*k - 6
Let x(z) = 4*z**4 + 6*z**3 + 72*z**2. Let y(o) = -2*o**4 - 5*o**3 - 72*o**2. Let r(c) = -4*x(c) - 5*y(c). Find the third derivative of r(d) wrt d.
-144*d + 6
Let q(x) be the first derivative of 7 - 13*x + x**3 - 15 + x - 3*x**3. Differentiate q(o) wrt o.
-12*o
Let p(f) be the third derivative of f**9/504 - 11*f**7/30 + 37*f**5/60 - 174*f**2. Find the third derivative of p(k) wrt k.
120*k**3 - 1848*k
Suppose -r = -y - 0*r + 8, 0 = 5*y + 2*r - 5. Suppose b + 8 = 3*b + 2*j, 2*b = 2*j. What is the second derivative of -38*u + 39*u + u**y + b*u**3 wrt u?
18*u
Let d(k) = -114*k**2 + 342*k + 4. Let g(z) = -239*z**2 + 683*z + 7. Let x(f) = 7*d(f) - 4*g(f). Find the second derivative of x(p) wrt p.
316
Let w(n) = -11*n**3 + n + 2. Let o be w(-1). Suppose 13*h = 11*h + o. What is the third derivative of -2*r**4 + 0*r**4 - h*r**2 - 6*r**2 wrt r?
-48*r
Let g(f) = -f + 3. Let v be g(-5). Suppose 16 = v*w - 4*w. Find the third derivative of 0*l**3 + 0*l**3 + 0*l**2 - 5*l**w + 5*l**2 wrt l.
-120*l
Suppose -5*k = 3*z - k - 67, -z = 3*k - 24. Let u = -18 + z. Differentiate -w**2 + 4 + 0 - u*w**2 wrt w.
-8*w
Let p(k) be the third derivative of 37*k**6/12 + k**5/60 - 5*k**4 + k**3/2 + k**2 - 59. Find the second derivative of p(s) wrt s.
2220*s + 2
Let f(z) be the second derivative of 0 + 1/3*z**4 - 3/28*z**8 + 0*z**6 + 0*z**7 + 0*z**3 + 0*z**2 - z + 0*z**5. Find the third derivative of f(b) wrt b.
-720*b**3
Suppose -2*s + 11 + 4 = -3*g, 21 = 4*s - 3*g. What is the derivative of -13 - 24 - 6*w**s + 34 wrt w?
-18*w**2
Let t(b) be the third derivative of -41*b**9/126 + 23*b**5/15 - 8*b**2 + 3*b. What is the third derivative of t(i) wrt i?
-19680*i**3
Let f(w) = -4*w + 34. Let l be f(8). What is the first derivative of 54 + 38 - 103 + 4*x**l wrt x?
8*x
Let y(n) = 498*n**2 + 5*n + 501. Let v(w) = -2490*w**2 - 24*w - 2511. Let j(b) = -5*v(b) - 24*y(b). Find the first derivative of j(o) wrt o.
996*o
Let a(y) be the first derivative of 2*y**6/15 + 7*y**4/12 + 7*y - 4. Let l(i) be the first derivative of a(i). What is the third derivative of l(n) wrt n?
96*n
Let s(x) be the second derivative of x**9/2160 - x**6/120 + x**4/3 - x. Let g(c) be the third derivative of s(c). What is the second derivative of g(v) wrt v?
84*v**2
Find the third derivative of -11*i**3 + 0*i - i + 4*i + 226*i**2 - 42*i**2 + i**6 wrt i.
120*i**3 - 66
Let f(b) be the second derivative of 0*b**5 + 0*b**4 + 0 - 11/30*b**6 + 0*b**3 + b - 7/2*b**2. Differentiate f(w) wrt w.
-44*w**3
Let m(b) = b**3 - 14*b**2 + 13*b + 8. Let x be m(13). What is the second derivative of 5*z**5 - 10*z**5 - 15*z - x*z**5 wrt z?
-260*z**3
Let d(m) be the third derivative of -149*m**7/105 + m**4/8 + 7*m**3/6 - 212*m**2. Find the second derivative of d(c) wrt c.
-3576*c**2
Let w(k) be the second derivative of k**6/30 - 7*k**5/10 - k**4/6 - 3*k**3/2 - 74*k. Find the third derivative of w(d) wrt d.
24*d - 84
Let v(q) = -7*q**2 - 28. Let n(h) = -10 + 2*h**2 + 8 + 11. Let y(c) = 17*n(c) + 6*v(c). Find the first derivative of y(k) wrt k.
-16*k
Let v(u) = 511*u**2 + 80*u - 10. Let l(r) = -769*r**2 - 120*r + 16. Let m(p) = 5*l(p) + 8*v(p). Find the second derivative of m(y) wrt y.
486
Let f(z) = -4*z**2 + 9 + 2*z - 9*z**3 + 7*z - 5*z. Let j(a) = -a**3 - a**2 + a + 1. Let x(w) = -f(w) + 4*j(w). Differentiate x(l) wrt l.
15*l**2
Let m(i) = -69*i**4 - 4*i**3 - 207*i. Let b(n) = 208*n**4 + 11*n**3 + 621*n. Let p(j) = -6*b(j) - 17*m(j). Find the second derivative of p(q) wrt q.
-900*q**2 + 12*q
Let a(q) be the first derivative of -11*q**8/336 + q**5/60 + 8*q**2 - 20. Let u(n) be the second derivative of a(n). Find the third derivative of u(d) wrt d.
-660*d**2
Let p(f) = -f - 12. Let u be p(-13). Let s be 7 + -5 + (0 - u). Differentiate s + 0 - 3*t + 1 + 0*t with respect to t.
-3
Suppose -5*x - 7 + 52 = 0. Find the third derivative of -2 - w**2 + 2 - x*w**4 + 4*w**4 wrt w.
-120*w
Let b(j) be the third derivative of -17*j**6/60 - 3*j**5/10 + 113*j**2. What is the third derivative of b(z) wrt z?
-204
Let n(c) be the second derivative of c**6/10 - c**5/2 + 13*c**4/6 - 13*c + 2. What is the third derivative of n(p) wrt p?
72*p - 60
Suppose 5*i = i + 48. Suppose -h + 4*h - 1 = -5*r, r - 3 = -2*h. What is the derivative of -i - 7*v**3 + h + 1 wrt v?
-21*v**2
Let p = -6 + 8. Suppose p*c - 12 = -c. Differentiate 7 - 10*z + c*z - 2 with respect to z.
-6
Let w(x) be the first derivative of 104*x**7/7 - 40*x**3/3 - 9. Find the third derivative of w(z) wrt z.
12480*z**3
Let j(x) be the first derivative of x**2/2 + 25*x + 10. Let g be j(-18). What is the second derivative of -10*