- 3*i**2 + 5*i**4 - 14*i**5 wrt i.
-840*i**2
Let s(c) = 4*c**6 + 91*c**5 + 18*c**2. Let u(l) = -17*l**6 - 366*l**5 - 72*l**2. Let i(g) = -9*s(g) - 2*u(g). What is the third derivative of i(k) wrt k?
-240*k**3 - 5220*k**2
Find the third derivative of -5*d**2 + 11*d - 364*d**6 + 860*d**4 - 1721*d**4 + 861*d**4 + 0*d**2 wrt d.
-43680*d**3
Let r(l) be the first derivative of l**6/10 + 7*l**5/20 + 35*l**2/2 + 20. Let f(x) be the second derivative of r(x). What is the third derivative of f(t) wrt t?
72
Let d(z) be the second derivative of z**8/6720 + 17*z**5/120 + z**4/4 + 21*z. Let x(s) be the third derivative of d(s). Find the first derivative of x(j) wrt j.
3*j**2
Let g be 1/3 + 238/42. Let d be (36/(-10))/(g/(-15)). Find the second derivative of 14*o**3 + d*o - 19*o**3 - 2*o wrt o.
-30*o
Let q(w) = -381*w**3 + 4*w**2 - 32*w + 2. Let o(r) = -761*r**3 + 10*r**2 - 65*r + 5. Let y(v) = 2*o(v) - 5*q(v). Find the second derivative of y(k) wrt k.
2298*k
Let q(z) be the third derivative of -11*z**4/6 + 7*z**3/2 + 26*z**2. Find the first derivative of q(o) wrt o.
-44
Let a(i) = -i**2 + 25*i - 48. Let p be a(22). Differentiate -23 + 4 - p + 46*y**2 wrt y.
92*y
Let h be (0 + -12)*2/(-6). Suppose 22*i = 13*i + 36. Differentiate 4*s**4 - 3*s**4 + 7 - i*s**4 + 6*s**h wrt s.
12*s**3
Let d(f) = 18*f**2 - 6*f + 9. Let g(t) = -10 - 20*t**2 - 3*t**2 + 7*t - 2*t + 5*t**2. Let s(m) = 5*d(m) + 6*g(m). Differentiate s(p) wrt p.
-36*p
Suppose -u - 20 = -3*n + 5*n, 3*u = 4*n + 40. Let v = n + 12. Differentiate 4 + 0*p**2 - 2 + p**v - 3 with respect to p.
2*p
Let d be (1 + 1)/(3 - 2). Let t = d - 2. Differentiate -3*l**3 + 7 + 2 + t + 14*l**3 with respect to l.
33*l**2
Let d be 6*-1*(-2 - -1). What is the third derivative of 15*y**2 - 12*y**4 + d*y**4 - 2*y**2 - 2*y**4 wrt y?
-192*y
Let w = 20 + 41. Differentiate -133*n**3 + 36 + w*n**3 + 61*n**3 wrt n.
-33*n**2
Let n(c) be the second derivative of 7*c**6/15 + c**3/3 + 331*c**2/2 - 23*c + 6. What is the first derivative of n(r) wrt r?
56*r**3 + 2
Let t(s) = -s - 1. Let x(d) = d**3 + 6 + 17*d + 0 + 11*d**3 - 2. Let f(o) = -4*t(o) - x(o). What is the second derivative of f(k) wrt k?
-72*k
Find the second derivative of 227*i**3 - 10*i - 23*i - 365*i**3 + 8*i wrt i.
-828*i
Suppose -119*u + 117*u + 4 = 0. Find the third derivative of -2*z**4 + 6*z**u + 91*z**3 - 1 + 10*z**2 - 66*z**3 wrt z.
-48*z + 150
Suppose -12*j + 10*j = -4. Find the third derivative of 3*g**2 - 16*g**4 + 4*g**j - 8*g**4 + 29*g**4 wrt g.
120*g
Let d(i) = 33*i**3 + 2*i**2 - 1. Let z be d(1). What is the third derivative of -28*s**3 + z*s**2 - 10*s**2 + 9*s**3 wrt s?
-114
Let o(s) = s**4 - s**3 + 65*s**2 + 5. Let z(x) = x**4 - x**2 + 1. Let q(u) = o(u) - 5*z(u). Find the third derivative of q(h) wrt h.
-96*h - 6
Let x(m) = -3*m**2 + 18*m + 5. Let l(b) = 4*b**2 - 19*b - 6. Let a be -11 + 20 - 3*1. Let f(w) = a*x(w) + 5*l(w). Find the second derivative of f(d) wrt d.
4
Let h = -14 + 16. What is the first derivative of 3 - 6 + 4*f**2 - 2*f**h wrt f?
4*f
Let t(f) be the first derivative of 160*f**2 - 2*f - 154*f**2 - 5 - f. What is the derivative of t(v) wrt v?
12
Let b(w) be the first derivative of -7*w**6/6 + w**4 + 91*w**2/2 - 10. What is the second derivative of b(r) wrt r?
-140*r**3 + 24*r
Let z(p) be the second derivative of -3*p + 29/2*p**2 + 0 - 7/6*p**3. What is the first derivative of z(h) wrt h?
-7
Let j = 72 + -67. What is the third derivative of -14*y**4 - 88*y**4 - j*y**2 + 56*y**4 - 28*y**2 wrt y?
-1104*y
Let y(b) be the second derivative of b**4/6 - 2*b**3 + 5*b**2 - 10*b. Let w be y(6). What is the first derivative of 5*x**2 - w*x**2 + 10 - 6*x**2 wrt x?
-22*x
Let k(b) = 284*b**2 - 177*b + 6. Let q(m) = -m**2 - 4*m + 1. Let z(t) = -k(t) + 6*q(t). What is the second derivative of z(j) wrt j?
-580
Let u = -8 + 10. What is the first derivative of -u - 7*n**2 + 14 + 3 wrt n?
-14*n
Let d(h) = -4*h**2 + 4*h - 2. Let t(c) = -4*c**2 + 5*c - 3. Let b = 10 - 2. Suppose -b = 2*r - 0. Let x(q) = r*t(q) + 5*d(q). Differentiate x(j) wrt j.
-8*j
Suppose 2*b + 6*b = 312. What is the first derivative of 17 - 48*x**3 + 2*x**2 + 0 + b*x**3 wrt x?
-27*x**2 + 4*x
Let h = -4/265 - -273/530. Let w(r) be the first derivative of -4*r - 9 - h*r**2. What is the first derivative of w(y) wrt y?
-1
Suppose 8 = 7*s - 27. Find the second derivative of v**5 + 13*v**s + 3*v**5 - 10*v wrt v.
340*v**3
Let f be ((-60)/4)/(3/(-3)). Suppose -2*x + 49 = -f. Differentiate 18 - x - 2*y**3 + 19 with respect to y.
-6*y**2
Let k(o) be the first derivative of -13/4*o**4 + 0*o**3 + 0*o + 43/2*o**2 - 8. Find the second derivative of k(p) wrt p.
-78*p
Find the third derivative of -3*y**5 - 256*y**6 - 748*y**6 + 3*y**5 - 605*y**2 + 136*y**6 wrt y.
-104160*y**3
What is the derivative of -233 + 9883*l**2 - 9883*l**2 + 54*l**3 wrt l?
162*l**2
Let m = -3 - -13. Let x = m - 7. What is the second derivative of -6*v**4 + x*v**4 + 4*v - v wrt v?
-36*v**2
Let l(x) = -287*x**4 - 5*x**3 + 19*x + 18. Let w(v) = -283*v**4 - 4*v**3 + 18*v + 17. Let r(g) = 4*l(g) - 5*w(g). What is the second derivative of r(m) wrt m?
3204*m**2
Let j be (24/20)/((-1)/(-100)). Let m be ((-6)/4)/((-36)/j). What is the third derivative of 4*r**m - 2*r**5 + 5*r**5 - 12*r**2 + 4*r**2 wrt r?
420*r**2
Find the first derivative of -4160*j**4 + 4230*j**4 - 15 - 51 - 15 wrt j.
280*j**3
Let f(k) = -k**3 - 10*k**2 - 2*k + 3. Let n be f(-10). Find the second derivative of 11*p**2 - 2*p**2 - 4*p**2 + n*p wrt p.
10
Suppose -3*q + 6*q = 3. Suppose 5*c - 21 + q = 0. What is the derivative of b**c + 4*b**4 - 7 + 4 wrt b?
20*b**3
Let j(q) = 287*q**3 + 4*q**2 - 2*q - 412. Let t(r) = 3732*r**3 + 54*r**2 - 27*r - 5355. Let v(x) = 27*j(x) - 2*t(x). What is the first derivative of v(l) wrt l?
855*l**2
Find the first derivative of -83 - 10*b + 54*b + 41*b - 20*b wrt b.
65
Let m(h) = 2*h**2 + 6*h + 5. Let j be m(-4). What is the second derivative of -14*g**5 - j*g + 4*g + 7*g wrt g?
-280*g**3
Suppose 4*i = -3*i + 63. Find the second derivative of -20*t + t + i*t**2 - t**2 wrt t.
16
Let p = -427 - -429. Let w(i) be the first derivative of 0*i + 0*i**p + 0*i**4 + 0*i**5 + 1/6*i**6 - 11 + 8/3*i**3. Find the third derivative of w(z) wrt z.
60*z**2
Let a(z) be the first derivative of 3*z**4 + 64*z**3/3 + 2*z - 135. What is the third derivative of a(r) wrt r?
72
Find the second derivative of -50*v**2 + 231*v + 456*v**2 + 405*v**2 - 49*v**2 wrt v.
1524
Suppose 0 = u - 25 + 20. Let a(j) = -20*j**2 - 16*j - 5. Let t(g) = 19*g**2 + 16*g + 6. Let m(h) = u*t(h) + 6*a(h). What is the second derivative of m(c) wrt c?
-50
Let s(d) = d + 3. Let u be s(-6). Let g = 6 + u. What is the second derivative of -4*x - 2*x**4 - 13*x**3 + x**4 + 13*x**g wrt x?
-12*x**2
Differentiate -29*m**4 - 309*m**4 - 116*m**4 + 37*m**4 + 139 with respect to m.
-1668*m**3
Let j(x) = 10*x**4 - 36*x**3 + 16*x + 23. Let v(p) = -3*p**4 + 12*p**3 - 5*p - 8. Let a(k) = 6*j(k) + 17*v(k). Find the second derivative of a(s) wrt s.
108*s**2 - 72*s
Let h(d) = 13*d**2 - 4*d + 2. Let y(f) = f**2 - 1. Suppose 0 = p - 9*p - 8. Let l(g) = p*h(g) - 2*y(g). What is the second derivative of l(k) wrt k?
-30
Let a(v) = -3*v + 18. Let o = 13 + -7. Let x be a(o). What is the derivative of -7 + x - 3*u**3 + 0 wrt u?
-9*u**2
Let b be -2 + 6 - -12 - 11. Let m(z) be the third derivative of 0 + 0*z**3 + 1/6*z**4 + 7*z**2 + 0*z - 1/20*z**b. Find the second derivative of m(c) wrt c.
-6
Let m(z) be the first derivative of 0*z**2 + 0*z**3 + 13/4*z**4 + 12*z + 2. What is the derivative of m(p) wrt p?
39*p**2
Let v(h) be the first derivative of 3*h**5/4 - 14*h**2 + 8*h + 19. Let k(y) be the first derivative of v(y). Differentiate k(c) wrt c.
45*c**2
Let q(i) be the first derivative of -5/2*i**2 + 0*i - 23/3*i**3 + 19. Find the second derivative of q(w) wrt w.
-46
Let b = 18 + -14. What is the second derivative of -11*r**2 + 2*r - 7*r + 14*r**2 + b*r**2 wrt r?
14
Let i(v) be the first derivative of v**4/3 - 23*v**3/6 + 13*v**2/2 - 27. Let s(u) be the second derivative of i(u). Differentiate s(m) with respect to m.
8
Suppose 4*o + o - 20 = 0. Find the second derivative of i**o - 22*i**5 + 29*i**5 - i**4 - 10*i wrt i.
140*i**3
Suppose d - 6 = 5*k + 3, 0 = 4*d + k - 15. Differentiate 4 + 2*f**4 - 2*f**d - 2*f**4 + 15*f**4 