- 5*x**6 + 4*x**6 wrt x.
-120*x**3
Suppose -4*x = -6*x + 318. What is the first derivative of 163*b**2 + 5*b + 45 - x*b**2 - 5*b wrt b?
8*b
Let i(s) be the third derivative of 6*s**6/5 - 157*s**5/60 - 273*s**2. Find the third derivative of i(a) wrt a.
864
What is the second derivative of 210*s**4 - 21*s**3 - 10*s - 6 - 38*s**4 + 21*s**3 wrt s?
2064*s**2
Let a = -20 - -34. Suppose -5*o + 2*o = 5*h - a, 26 = 4*h - 5*o. What is the first derivative of 2 + h*s**4 + 10*s**3 - 10*s**3 wrt s?
16*s**3
Let d(h) = -669*h**2. Let r(j) = -67*j**2. Let c(u) = 2*d(u) - 21*r(u). Let t be c(1). What is the first derivative of 4*f**2 + t - 61 + 3*f**2 wrt f?
14*f
Let a(f) be the second derivative of 5/3*f**3 - 14*f + 0 + 1/6*f**4 + 0*f**2. What is the second derivative of a(k) wrt k?
4
Let q(w) = 4*w**2 + 17*w**3 + 10*w - 5*w + 2*w. Let a(g) = 33*g**3 + 7*g**2 + 13*g. Let n(t) = 4*a(t) - 7*q(t). What is the second derivative of n(i) wrt i?
78*i
Suppose -2*h + 3*b + 6 = 0, 2*h + 2*b - 4*b = 6. Find the second derivative of -21*g**h - g + 0*g + g**3 wrt g.
-120*g
What is the second derivative of -86*f**4 + 12*f + 36*f + 102*f**4 - 26*f**2 wrt f?
192*f**2 - 52
What is the third derivative of -136*i**5 - 2*i**4 - 219*i**5 + 0*i**2 - 3*i**2 + 136 + 593 + 4*i**2 wrt i?
-21300*i**2 - 48*i
Suppose -80 = 5*a + 3*k, 3*k - 18 - 19 = 4*a. Let x = a + 17. What is the second derivative of u - 29*u**x + 23*u**4 - 6*u wrt u?
-72*u**2
What is the third derivative of -423078*q**6 + 61*q**3 - 67*q**2 - 2*q + 87*q**3 + 423076*q**6 wrt q?
-240*q**3 + 888
Suppose 4*g - 8 = -4*z, -3*g - 43 = -6*z + 2*z. Find the second derivative of 11*b + 14*b - z*b**5 - 8*b wrt b.
-140*b**3
Let q = 38 + -17. Suppose -3*s = -3*c - q, -3*c = 2*s - 13 - 16. What is the second derivative of -z + 4*z + s - 10 - 5*z**2 wrt z?
-10
Let u(n) be the third derivative of -431*n**7/210 - n**5/60 + 313*n**3/6 - 468*n**2. What is the third derivative of u(h) wrt h?
-10344*h
Let u(i) = -5*i + 17. Let b be u(3). Let h(l) be the second derivative of 2/3*l**3 - 2*l**b + 4*l + 0. Differentiate h(t) with respect to t.
4
Let c(l) = 90*l**3 + 2*l**2 - 86*l - 4. Let i(b) = -271*b**3 - 5*b**2 + 259*b + 11. Let f(g) = -11*c(g) - 4*i(g). What is the second derivative of f(h) wrt h?
564*h - 4
Let t be 8/100 + 98/25. Let l(y) = -y**3 - 6*y**2 + y + 6. Let a be l(-6). Find the second derivative of a*h - h - 3*h**3 + t*h wrt h.
-18*h
Let p(u) be the third derivative of -12*u**2 + 2*u + 23/105*u**7 + 0 + 0*u**5 + 0*u**6 - 7/3*u**4 + 0*u**3. What is the second derivative of p(m) wrt m?
552*m**2
Suppose 0 = 5*n + 42 - 52. Let f(g) be the first derivative of 3/2*g**n - 2*g - 4. What is the derivative of f(k) wrt k?
3
Let v(k) = -14*k**3 - 3. Let l(h) = -2 + h**2 + h**2 + 10 + 41*h**3 - h**2. Let g(i) = -3*l(i) - 8*v(i). What is the third derivative of g(f) wrt f?
-66
Suppose 2*i - 6 = -i. Differentiate -2*y**4 + 203*y**2 + 1 - 203*y**i wrt y.
-8*y**3
Let z(o) = -373*o**4 + 5*o**3 - 33*o**2 + 13. Let q(t) = 187*t**4 - 3*t**3 + 18*t**2 - 7. Let s(i) = 10*q(i) + 6*z(i). Find the third derivative of s(r) wrt r.
-8832*r
Let y = -4089 + 8526. What is the third derivative of -34*b**5 - y*b**3 + 20*b**2 + 4437*b**3 wrt b?
-2040*b**2
Suppose -3*d - 12 + 61 = y, 0 = -y + 4*d + 28. Suppose 2*b = 7*b - 15. Find the second derivative of -2*a - a**b - 40 + y wrt a.
-6*a
Let s = -17 - -10. Let h = 9 + s. Find the third derivative of -h*i + 2*i + 0*i - 4*i**6 + i**2 wrt i.
-480*i**3
Let r(u) be the first derivative of -2*u**3/3 - 10*u**2 - 111*u + 7. Differentiate r(o) wrt o.
-4*o - 20
Let n(s) = s**2 - 1. Let v be n(-1). Suppose 2 = -v*d + d. Find the third derivative of -6*u**2 + 3*u**5 - 2*u**2 + 3*u**d wrt u.
180*u**2
Find the second derivative of 258*m + 259*m**2 - 77 + 77 wrt m.
518
Let x(t) = 174*t**4 + 5*t**2 - 15*t - 5. Let n(w) = 88*w**4 + 2*w**2 - 7*w - 2. Let h(m) = -5*n(m) + 2*x(m). Find the second derivative of h(r) wrt r.
-1104*r**2
Suppose 36 = 5*i + 11. What is the third derivative of 0*q**2 + i*q**3 + 9*q**3 - 10*q**2 wrt q?
84
Find the second derivative of 10 - 45 + 34*x**4 + 35 + 6*x**4 + 323*x - x**2 wrt x.
480*x**2 - 2
Let d(v) be the second derivative of 46*v**7/7 - 259*v**3/6 - 2*v - 65. What is the second derivative of d(u) wrt u?
5520*u**3
Let x(d) be the third derivative of -d**6/36 - 7*d**5/120 + d**3/3 - 9*d**2. Let k(m) be the first derivative of x(m). Find the second derivative of k(o) wrt o.
-20
Let t(n) be the second derivative of 7*n**6/40 - 3*n**3 - 6*n**2 + 15*n. Let h(c) be the first derivative of t(c). Find the first derivative of h(m) wrt m.
63*m**2
Let y(w) be the third derivative of 23*w**6/20 - 23*w**3/2 + 2*w**2 + 17. Differentiate y(f) wrt f.
414*f**2
Suppose -4*h - 5 = 3, 3*h - 45 = 3*z. Let x = z + 21. Find the first derivative of -x*b + 2*b + 6*b + 4 wrt b.
4
What is the derivative of -268*k**3 + 143*k - 54*k**3 - 143*k - 183 wrt k?
-966*k**2
What is the third derivative of -s + 67*s**2 + 6*s + 157*s**4 - 24*s**2 - 19*s**2 - 20*s**2 wrt s?
3768*s
What is the first derivative of d**3 - d + 67 - 3*d**3 + 43 + 4*d + 6*d wrt d?
-6*d**2 + 9
What is the second derivative of -88 + 56 - 74 - s - 233*s**4 wrt s?
-2796*s**2
Suppose -4*v - 12 = -7*v. What is the second derivative of -5*z + 3*z - 3*z + 8*z**v + z wrt z?
96*z**2
Let x = -3 - -6. Let h = -50 + 56. What is the first derivative of 2*f - 3 - x + h + 1 wrt f?
2
Suppose 40*l - 83 = 37. Let m(d) be the first derivative of 0*d**2 - 8 - 4*d + 5/4*d**4 + 0*d**l. What is the derivative of m(h) wrt h?
15*h**2
Let i(r) be the first derivative of -233*r**6/2 - 41*r**3 - 154. Find the third derivative of i(t) wrt t.
-41940*t**2
Let r(h) be the first derivative of -383*h**2/2 - 540*h + 115. Differentiate r(q) wrt q.
-383
Let f(a) be the first derivative of a**4/4 - 2*a**3/3 + 2*a - 4. Let m be f(2). Find the third derivative of -25*y**2 + 13*y**m - y**4 + 13*y**2 wrt y.
-24*y
Let n(b) be the first derivative of -b**7/210 - b**5/20 - b**3 - 5. Let s(g) be the third derivative of n(g). Find the second derivative of s(d) wrt d.
-24*d
Let g(n) be the third derivative of -49*n**6/24 - n**5/30 + 35*n**4/24 - 168*n**2 + 2. What is the second derivative of g(w) wrt w?
-1470*w - 4
Let u be 1*(-3 + 4)*3. Let l be 8/(3*2/u). Find the second derivative of -h - h**5 + 22*h**4 - 22*h**l + 4*h**5 wrt h.
60*h**3
Let h(d) = 77*d**5 + 4*d**4 + 6*d**3 + 2*d - 1. Let u(z) = -z**4 - z**3. Let g(t) = -h(t) - 4*u(t). Find the second derivative of g(b) wrt b.
-1540*b**3 - 12*b
Let p(z) be the second derivative of -25*z**5/2 + 39*z**3 + 18*z + 2. What is the second derivative of p(k) wrt k?
-1500*k
Find the second derivative of 5*d + 180*d**5 - 32*d**3 + 3 + 2 + 32*d**3 wrt d.
3600*d**3
Let d = -14 - -19. Differentiate 0 + 18*h - 20 - d wrt h.
18
Let f(z) be the third derivative of z**7/6 + 287*z**5/60 - 3*z**2 + 11*z. What is the third derivative of f(v) wrt v?
840*v
Let y(a) be the second derivative of -17/3*a**3 + 0 + 0*a**5 + 23*a + 5/21*a**7 + 0*a**4 + 0*a**6 + 0*a**2. Find the second derivative of y(j) wrt j.
200*j**3
Let k(s) be the third derivative of -397*s**6/120 + 419*s**5/60 - 17*s**2 - 8*s. Find the third derivative of k(v) wrt v.
-2382
Let y = 7 - 12. Let q be (y - -5) + 1 + 2. What is the derivative of -x - q - 3*x + 3*x wrt x?
-1
Let y be 72/84 - (-2)/14. Let p(u) be the first derivative of -5/4*u**4 + 0*u**3 + 0*u**2 + y + u. What is the derivative of p(g) wrt g?
-15*g**2
Suppose 3940*j - 3948*j = 0. Let k(r) be the first derivative of 8 - 1/5*r**5 + j*r**4 + 0*r**3 + 0*r - 9/2*r**2. Find the second derivative of k(p) wrt p.
-12*p**2
Suppose 4*t + 8 = 0, -3*h = -0*h + 3*t. Find the second derivative of -h*j + 27*j**4 + 3*j - 3*j - 18*j wrt j.
324*j**2
Let f(w) be the second derivative of 0*w**3 + 0*w**2 - 13/20*w**5 + 0 + 6*w - w**4. What is the third derivative of f(i) wrt i?
-78
Let y(m) be the second derivative of 0 - 1/14*m**7 + 5/3*m**3 + 0*m**6 + 0*m**2 + m + 0*m**4 + 0*m**5. Find the second derivative of y(c) wrt c.
-60*c**3
Let c(y) be the third derivative of -23*y**7/210 + y**6/120 - 13*y**3/3 - y**2 + 128*y. What is the first derivative of c(h) wrt h?
-92*h**3 + 3*h**2
Let d(g) be the second derivative of -13*g**5/20 - g**4/6 + 44*g**2 - 20*g. Differentiat