5*b**5 + 0*b**4 + 93*b**2 + 2*b**4 + b**5 wrt b.
1860*b**2 + 48*b
Let v(y) = -9*y**2 - 10. Let n(m) = -6*m**2 - 7. Let h = -11 + 18. Let z = h + -2. Let g(k) = z*v(k) - 7*n(k). What is the derivative of g(a) wrt a?
-6*a
What is the second derivative of 427*q**2 - 2*q + 28*q**2 - 9*q + 10*q - 105 - 16*q**2 wrt q?
878
Let h(v) be the second derivative of 5/2*v**3 + 3*v + 0*v**4 + 0*v**2 + 0 + 13/20*v**5. Find the second derivative of h(u) wrt u.
78*u
Suppose -5*c = -1403 - 372. Differentiate 355*g**2 + 13 - c*g**2 - 8*g**3 with respect to g.
-24*g**2
Find the second derivative of 22*f**4 + 48*f + 2*f - 6*f + 3*f**2 wrt f.
264*f**2 + 6
Let g(c) = -11*c**4 - 8*c**3 + 39*c**2 - 14*c + 6. Let s(h) = -2*h**4 - 2*h**2 - h + 1. Let l(x) = -g(x) + 6*s(x). What is the third derivative of l(k) wrt k?
-24*k + 48
Let x(d) = 102*d**3 - 21*d - 2. Let n(h) = 206*h**3 - 41*h - 5. Let r(z) = -2*n(z) + 5*x(z). Find the second derivative of r(s) wrt s.
588*s
What is the second derivative of -13 + 10 - 94*x**3 + 496*x**3 + 318*x - 265*x wrt x?
2412*x
Find the third derivative of -122*a**6 + 96*a**2 - 3*a - 1 - 127*a**2 + 1 wrt a.
-14640*a**3
Let h(j) be the second derivative of 4/3*j**3 + 0*j**4 + 2*j + 0 + 0*j**2 - 5/42*j**7 + 0*j**6 + 0*j**5. What is the second derivative of h(q) wrt q?
-100*q**3
Let u(s) be the third derivative of 4*s**7/105 - s**4/8 + 22*s**3 + 532*s**2. Find the first derivative of u(i) wrt i.
32*i**3 - 3
Let k(h) be the second derivative of -h**6/10 - 5*h**4/2 - 47*h**3 - 91*h. What is the second derivative of k(d) wrt d?
-36*d**2 - 60
Let t(g) = 2*g**4 + 12*g**2 - 4*g + 1. Let z(k) = 3*k**4 + 11*k**2 - 5*k. Let d(s) = -5*t(s) + 4*z(s). What is the first derivative of d(y) wrt y?
8*y**3 - 32*y
Let o(f) = f**3 - 6*f**2 + 10*f - 5. Let x be o(4). What is the second derivative of -q**2 + 14*q - q**2 - x*q**2 wrt q?
-10
Let x(n) be the second derivative of 0*n**4 + 0 - 5/6*n**6 + 5*n**2 + 0*n**3 + 0*n**5 - 21*n. What is the first derivative of x(r) wrt r?
-100*r**3
Let w be 0/(0 - (-1 + 2)). Find the second derivative of w*b**4 + 8*b**4 + 13*b**4 + 5*b wrt b.
252*b**2
Let v(u) = 31*u**3 + 64*u**2 - 12*u + 6. Let h(m) = -m**3 - 2*m**2 - 2*m + 1. Let o(c) = -6*h(c) + v(c). Find the third derivative of o(g) wrt g.
222
Let p(s) be the first derivative of -s**7/105 + 19*s**4/24 + 21*s**2/2 - 8. Let z(i) be the second derivative of p(i). Find the second derivative of z(v) wrt v.
-24*v**2
Suppose w - 11 = -8. Differentiate 0 + 4*r - w*r + 6 + 18*r wrt r.
19
Let t(w) be the second derivative of 106*w**6/15 + w**5/10 - 133*w**4/4 + w - 283. Find the third derivative of t(l) wrt l.
5088*l + 12
Let f(s) be the second derivative of 7*s**5/20 - 29*s**3/6 - 32*s + 1. Find the second derivative of f(o) wrt o.
42*o
Let h(j) = 4*j - 10. Let q be h(3). What is the third derivative of -q*v**2 + 10*v**3 + 28 + 29 - 57 wrt v?
60
Let y(p) be the second derivative of p**7/35 - 5*p**3/3 + 7*p**2 + 5*p. Let q(h) be the first derivative of y(h). Differentiate q(t) wrt t.
24*t**3
Suppose 4*y - 4*v - 6 - 2 = 0, 4*v = -3*y + 20. Suppose 2*o - 2 = -m, 5*m - 3 = -y*o - 11. What is the first derivative of 4*w + 7 - 6*w**3 + o*w - 7*w wrt w?
-18*w**2
Let s(l) = -912*l**4 - l**3 + 871*l**2 - 7*l. Let f(k) = -304*k**4 + 290*k**2 - 2*k. Let m(q) = -7*f(q) + 2*s(q). Find the third derivative of m(n) wrt n.
7296*n - 12
Let y = -83 - -86. Find the first derivative of 3*r - 3*r - y*r**2 + 38 wrt r.
-6*r
Suppose -x + 6 = -13. Let h = x + -16. What is the third derivative of u**h + 37*u**4 - u**3 - 39*u**4 + 8*u**2 wrt u?
-48*u
Suppose 19 = 6*k - 5. Let y be ((-6)/8)/(k/(-16)). Find the first derivative of 7 + 4*t**3 - 3*t**y - 3*t**3 - 2*t**3 wrt t.
-12*t**2
Let i(p) be the first derivative of -3*p**6/10 - 3*p**2 - 3*p + 7. Let t(y) be the first derivative of i(y). What is the first derivative of t(k) wrt k?
-36*k**3
Suppose 2*g = -0*g. Let x(i) be the first derivative of -i**4 - 4*i + g + 2*i - 5. What is the first derivative of x(d) wrt d?
-12*d**2
Let p(j) be the third derivative of j**9/504 - j**5/5 - 23*j**4/24 + 33*j**2. Let q(k) be the second derivative of p(k). Differentiate q(d) with respect to d.
120*d**3
Let l(t) = t - 10. Let b be l(7). Let s be 0/(1 - (-1 - b)). What is the derivative of 2*j**2 + 2 + s + j**2 wrt j?
6*j
Let d(r) = 6*r**3 - 22*r**2 + 20*r + 3. Let o(g) = g**3 + g**2 - g + 1. Let c(z) = -d(z) + 3*o(z). What is the second derivative of c(s) wrt s?
-18*s + 50
Let w(q) be the third derivative of 7*q**5/30 - 673*q**3/6 + 103*q**2 - 2*q. What is the derivative of w(p) wrt p?
28*p
What is the derivative of -138*t + 81*t - 11*t - 74 wrt t?
-68
What is the second derivative of 315*i**4 - 316*i - 137*i**4 + 36*i**4 wrt i?
2568*i**2
Let d = 30 + -27. What is the derivative of -9 + 7 + 2*w**2 + 8*w**2 - d wrt w?
20*w
Let x(k) = 58*k + 21. Let q(s) = 59*s + 24. Let r(d) = -2*q(d) + 3*x(d). Find the first derivative of r(a) wrt a.
56
Let n be (-16)/(-24)*(0 + 3). Let j(d) be the first derivative of 2 - 2*d**4 + 0*d**4 + 4*d + n*d + d**4. Differentiate j(c) wrt c.
-12*c**2
Let k(t) be the first derivative of 0*t**4 + 0*t + 0*t**2 + 4/3*t**3 + 0*t**5 + 19 - t**6. What is the third derivative of k(b) wrt b?
-360*b**2
Let n(h) = -17*h**3 - 8*h**2 - 4*h + 188. Let t(z) = -33*z**3 - 16*z**2 - 9*z + 373. Let v(k) = -9*n(k) + 4*t(k). What is the first derivative of v(u) wrt u?
63*u**2 + 16*u
Let s(n) be the first derivative of 46 + 1/2*n**4 + 3*n**5 + 0*n**2 + 0*n**3 + 44*n. What is the first derivative of s(b) wrt b?
60*b**3 + 6*b**2
Let w(i) be the second derivative of -i**7/105 - 7*i**4/8 - 11*i**2 + 6*i. Let l(g) be the first derivative of w(g). Find the second derivative of l(k) wrt k.
-24*k**2
Let q(f) be the second derivative of 4*f**7/105 - 3*f**3 - 7*f**2/2 - 20*f. Let y(v) be the first derivative of q(v). Differentiate y(l) wrt l.
32*l**3
Find the first derivative of -12 + 150 - 16 + 7*o wrt o.
7
Let i(l) be the second derivative of 323*l**3/6 - 229*l**2 - 629*l. What is the derivative of i(f) wrt f?
323
Let x(u) be the second derivative of -67*u**6/30 + u**4/12 - 2*u**3 - 2*u + 49. Find the third derivative of x(v) wrt v.
-1608*v
Let v = -836 - -836. Let j(r) be the second derivative of 0*r**3 + v + 0*r**2 + 3/10*r**5 - 3*r + 5/12*r**4. What is the third derivative of j(u) wrt u?
36
Let l(k) be the first derivative of -41*k**6/2 + 94*k**2 - 9. Find the second derivative of l(b) wrt b.
-2460*b**3
Let t = 5 + -4. Let s be -2*(t + 3)/(-4). Find the third derivative of 6*r**3 + r**2 + 3*r**s + 0*r**2 wrt r.
36
Let n(r) = -3*r - 46. Let i be n(-16). What is the third derivative of -2*z + 2*z - 36*z**4 + 15*z**4 - 29*z**i wrt z?
-504*z
Let z = -5278/15 + 352. Let r(j) be the second derivative of 0*j**3 - z*j**6 - 3/2*j**2 + 0*j**4 + 0*j**5 + 6*j + 0. Find the first derivative of r(h) wrt h.
-16*h**3
Suppose j - 4*j + 30 = 0. Suppose j = 3*d - d. What is the third derivative of 10*i**d + 0*i**2 + i**2 + 4*i**2 wrt i?
600*i**2
Let b(l) be the second derivative of 0*l**3 - 1/10*l**5 - 6*l + 0*l**2 + 2/3*l**4 + 0. Find the third derivative of b(n) wrt n.
-12
Differentiate -15567*u**2 - 190 + 7787*u**2 + 62*u**3 + 7782*u**2 wrt u.
186*u**2 + 4*u
Suppose 4*t - 36 = -8. Suppose -9*y + t*y + 4 = 0. Find the third derivative of -5*f**2 - 6*f**4 + 0*f**2 + 3*f**y wrt f.
-144*f
Let c(r) = -13*r**4 - 7*r + 2. Let l = -25 - -23. Let g(a) = 65*a**4 + 35*a - 11. Let x(n) = l*g(n) - 11*c(n). Find the second derivative of x(b) wrt b.
156*b**2
Let p(q) = 143*q**4 - 5*q**2 + 67*q - 6. Let y(a) = 429*a**4 - 14*a**2 + 200*a - 17. Let j(l) = 17*p(l) - 6*y(l). What is the third derivative of j(i) wrt i?
-3432*i
Let d(v) = 2. Let f(k) = -25*k - 106. Let s(g) = 22*d(g) + 2*f(g). Find the first derivative of s(r) wrt r.
-50
Find the third derivative of -13*a**2 + 43*a**2 + 59*a**2 - 50*a**3 wrt a.
-300
Let v(l) be the third derivative of 9/20*l**5 - 4*l**2 - 2*l - 1/105*l**7 + 0 + 7/6*l**3 + 0*l**6 - 1/24*l**4. Find the second derivative of v(p) wrt p.
-24*p**2 + 54
Let h = 27 + -22. What is the third derivative of -h*d**3 + 2 + 6*d**2 - 5 + 1 wrt d?
-30
Let o(a) be the second derivative of 17*a - 5*a**3 + 0 - 2/5*a**5 + 0*a**2 + 0*a**4. What is the second derivative of o(t) wrt t?
-48*t
Suppose