0*h
Differentiate -37 - 14*q**3 + 105*q**4 + 14*q**3 + 62*q**4 + 2 wrt q.
668*q**3
Let y(l) = 167*l**6 + 11*l**4 + 33*l**2 - 3*l. Let j(b) = -83*b**6 - 6*b**4 - 17*b**2 + b. Let r(d) = 5*j(d) + 3*y(d). Find the third derivative of r(z) wrt z.
10320*z**3 + 72*z
Let o(r) be the first derivative of 24 + 17*r**3 - 33 + 4*r**2 - 36 + 3*r. What is the second derivative of o(s) wrt s?
102
Let u(c) be the third derivative of c**5/30 - 29*c**4/6 + 37*c**3/2 - 2*c**2 - 190. Find the first derivative of u(r) wrt r.
4*r - 116
Let p(o) be the first derivative of 7*o**5/5 + 12*o**2 - 656*o + 305. What is the derivative of p(c) wrt c?
28*c**3 + 24
Let j(v) = 4*v - 44. Let u be j(12). Find the second derivative of -3*n + 19*n**4 - 2*n**3 + 5 + 2*n**3 + u*n wrt n.
228*n**2
Suppose 7*r = 5*r. What is the second derivative of r*u + 301 - 8*u**5 - u - 301 wrt u?
-160*u**3
Let j(p) be the first derivative of 19*p**3/3 - 397*p + 506. What is the first derivative of j(w) wrt w?
38*w
What is the third derivative of 17*w - 22*w + 5*w - 209*w**6 - 239*w**2 wrt w?
-25080*w**3
Suppose 0 = 4*o - 3*o + 3. Let w(f) = f**2. Let g(k) = 18*k**3 + 3*k**2 - 25*k. Let v(m) = o*w(m) + g(m). What is the second derivative of v(y) wrt y?
108*y
Let a(n) be the third derivative of -5/84*n**8 + 0 + 0*n**3 - 3/10*n**5 + 0*n**7 + 0*n**4 + 0*n + 0*n**6 + 12*n**2. What is the third derivative of a(b) wrt b?
-1200*b**2
Let a(l) be the first derivative of 7*l**4/4 - 14*l**3/3 + 623*l**2/2 - 154. Find the second derivative of a(i) wrt i.
42*i - 28
Let g(v) be the third derivative of 0*v**7 + 20*v**2 + 0*v**5 + 1/21*v**8 + 7/8*v**4 + 0*v + 0*v**3 + 0*v**6 + 0. Find the second derivative of g(t) wrt t.
320*t**3
Find the second derivative of -31*h - 46*h + 184 - 86 - 98 + 65*h**4 wrt h.
780*h**2
Suppose 2*n - 10 = 4*n. Let v = n - -8. Find the third derivative of 2*u**v - u + 3*u - 2*u - 5*u**2 wrt u.
12
Let q(c) be the second derivative of 3*c**5/20 - 5*c**4/3 - 497*c**2/2 - 365*c. Differentiate q(h) wrt h.
9*h**2 - 40*h
Find the second derivative of 28*k**2 - 30*k**2 - 213*k**4 - 119*k - 184*k - 1 wrt k.
-2556*k**2 - 4
Suppose 3*w - 2*w = 24. Suppose -m - m = -w. Find the third derivative of 3*r**2 + 2*r**4 + m*r**3 - 6*r**3 - 6*r**3 wrt r.
48*r
Let u(n) be the first derivative of -n**8/60 + n**5/24 + n**3 - 10. Let j(i) be the third derivative of u(i). Find the second derivative of j(z) wrt z.
-336*z**2
Let h(u) be the first derivative of -4*u**3/3 - u**2/2 - 39*u + 126. Differentiate h(x) wrt x.
-8*x - 1
Let s(h) = h**4 - h**3 - h**2 - 1. Let i(p) = -3*p**4 - 4*p**3 - 3*p**2 - 39. Let z(x) = -i(x) + 3*s(x). Differentiate z(d) wrt d.
24*d**3 + 3*d**2
Let y(r) be the third derivative of r**7/70 - r**6/120 - r**5/15 + r**4/4 - 51*r**2. Find the third derivative of y(v) wrt v.
72*v - 6
Let p(v) be the first derivative of 142*v**5/5 + 70*v**3 + 30. Find the third derivative of p(q) wrt q.
3408*q
What is the first derivative of -4*n - 11*n + 3*n**2 + 0*n + 900 - 866 wrt n?
6*n - 15
Let l(v) be the first derivative of 0*v - 35/4*v**4 - 26 + 0*v**2 - 2/3*v**3. Find the third derivative of l(i) wrt i.
-210
Find the first derivative of 275*p**4 - 209 - 58*p**4 + 76*p**4 wrt p.
1172*p**3
Let a(w) = -w**3 - 9*w**2 + 2*w - 14. Let t be a(-10). Let k be (7 + -1)*22/t. Differentiate -10*r**2 + 5*r**2 - 13 + 8*r**k with respect to r.
6*r
Let w(u) be the first derivative of -2*u**5/5 - 6*u**3 - 3*u**2/2 + 6*u - 25. What is the second derivative of w(n) wrt n?
-24*n**2 - 36
Let p be (28/(-21))/(2/3). Let r be p*5/(5/(-2)). Differentiate -8*q**2 + 0 - r + 3 + 0 with respect to q.
-16*q
Find the third derivative of -273*a**2 + a**3 + a**5 - 6*a**5 + 2*a**3 + 55*a**2 wrt a.
-300*a**2 + 18
Let l(z) be the first derivative of -2*z**7/15 - 5*z**4/6 + 3*z**2 + 3. Let i(d) be the second derivative of l(d). What is the second derivative of i(f) wrt f?
-336*f**2
Let h(k) = -7425*k**3 - 55*k**2 + 55*k + 15499. Let v(g) = -275*g**3 - 2*g**2 + 2*g + 574. Let n(u) = 2*h(u) - 55*v(u). Differentiate n(w) wrt w.
825*w**2
Let r(g) be the second derivative of 22*g**6/15 + g**5/10 - 53*g**3/2 + g**2 - 486*g. Find the second derivative of r(l) wrt l.
528*l**2 + 12*l
Suppose 2 = d - 2*l - 14, 0 = 3*d - 3*l - 42. Find the third derivative of -6 + 6 + 18*z**2 - 9*z**2 + d*z**6 wrt z.
1440*z**3
Let v(p) be the second derivative of -5*p + 5/21*p**7 - 13/6*p**3 + 0*p**5 + 0*p**2 + 0*p**4 + 0*p**6 + 0. What is the second derivative of v(h) wrt h?
200*h**3
Let s be (-3)/7 - (-186)/42. Let z(g) = -g**2 + 6*g - 4. Let o be z(s). What is the third derivative of -68*l**3 + 6*l**o - 2*l**2 + 68*l**3 wrt l?
144*l
Let f(z) be the third derivative of z**6/120 - z**5/60 - 101*z**4/8 + z**3/6 - 38*z**2 - 3. What is the second derivative of f(w) wrt w?
6*w - 2
Let i(r) be the first derivative of -487*r**7/7 + 442*r**3/3 + 265. Find the third derivative of i(b) wrt b.
-58440*b**3
Suppose -3*o = 4*o - 98. Suppose -3*j - 5 + o = 0. Find the third derivative of 8*c**2 - j*c**2 + 20*c**4 - 26*c**4 wrt c.
-144*c
Let t = -29 + 25. Let j be t/(-22) - 6/33. Find the second derivative of 4*h**2 + 0*h**2 + j*h**2 + 2*h**2 + 11*h wrt h.
12
What is the third derivative of 44975 + 94*u**2 - 44975 + 164*u**4 wrt u?
3936*u
Let w(q) be the first derivative of 17*q**6/120 + 5*q**3/3 + 19*q**2/2 + 25. Let s(g) be the second derivative of w(g). Differentiate s(m) wrt m.
51*m**2
Let h(z) be the second derivative of 11*z**6/5 - z**4 + 105*z. Find the third derivative of h(c) wrt c.
1584*c
Let u(v) be the third derivative of -v**8/6720 - v**6/360 + v**5/30 + 7*v**2. Let r(f) be the third derivative of u(f). Differentiate r(g) wrt g.
-6*g
Let s = -42 + 27. Let h be (-16)/(-6) + 10/s. What is the derivative of -h*x**4 - 2*x + 2*x + 5 - 6 wrt x?
-8*x**3
Let o(j) be the third derivative of 5*j**6/4 - 46*j**5/15 + 90*j**2. What is the third derivative of o(s) wrt s?
900
Find the third derivative of -8052*b**3 - 71*b**2 + 0*b + 0*b + 8056*b**3 wrt b.
24
Let p = -689 + 691. Let i(u) be the first derivative of 1 + 9/4*u**4 - u**3 + 0*u**p + 0*u. What is the third derivative of i(d) wrt d?
54
Let w(g) = -5615*g**3 - 190*g**2 - 325*g - 110. Let l(y) = -208*y**3 - 7*y**2 - 12*y - 4. Let v(f) = 55*l(f) - 2*w(f). Find the third derivative of v(c) wrt c.
-1260
Let d(l) be the first derivative of 29*l**6/6 + 122*l**2 + 43. Find the second derivative of d(m) wrt m.
580*m**3
Suppose -2*v + 21 = 3*f - 4, -3*f + 23 = v. What is the third derivative of 8*x**2 + 8*x**4 - f + 3 + 4 wrt x?
192*x
Let k(y) = y**2 + y + 1. Let x be k(-2). Let u = -2 + 5. What is the derivative of -2*g**u + 6*g**3 + 9 + g**x wrt g?
15*g**2
Let n(l) = -219*l - 365. Let y(h) = -107*h - 182. Let k(s) = -4*n(s) + 9*y(s). What is the first derivative of k(a) wrt a?
-87
Let f(t) = -490*t**3 + 419*t**2 + 10*t + 5. Let y(p) = 979*p**3 - 839*p**2 - 18*p - 9. Let b(q) = 9*f(q) + 5*y(q). What is the third derivative of b(i) wrt i?
2910
Let v(d) = -156*d + 108. Let o(g) = 466*g - 325. Let f(n) = -3*o(n) - 8*v(n). What is the derivative of f(z) wrt z?
-150
Let n(m) = 515*m**2 - 636*m - 27. Let t(l) = -129*l**2 + 159*l + 6. Let i(y) = 2*n(y) + 9*t(y). Find the second derivative of i(w) wrt w.
-262
Let o(p) be the third derivative of 13*p**9/63 + 9*p**5/5 - 150*p**2. Find the third derivative of o(h) wrt h.
12480*h**3
Let z = -785 + 788. Suppose 4*c = c + 9. Differentiate 11 - 11*t**z - 2 + 4*t**c wrt t.
-21*t**2
Let g be 2/(-4)*(0 + -10). What is the third derivative of -7*c**2 - 4*c**2 + 67*c**g - 58*c**5 wrt c?
540*c**2
Let b be (6/(-9))/((-2)/15). Suppose -d + b = 2*p, -1 = -2*p + p - d. Find the second derivative of 12*l + 11 - p*l**4 - 11 wrt l.
-48*l**2
Find the first derivative of 93 + 7*p + 16*p - 268 + 40*p + 14*p wrt p.
77
What is the second derivative of 13 - 5*h**5 - 5*h + 8*h - 31*h**2 + 33*h**2 + 2*h**5 wrt h?
-60*h**3 + 4
Let r(m) be the first derivative of 0*m**4 + 1/3*m**3 + 0*m**6 + 0*m + 6/7*m**7 + 0*m**5 - 23 + 0*m**2. Find the third derivative of r(h) wrt h.
720*h**3
Let j = -20 - -25. Find the second derivative of 5 + 9 + 11*g - 14 + 11*g**j wrt g.
220*g**3
Let w(s) be the second derivative of -55*s**4/2 - 34*s**3 - 2*s + 257. Find the second derivative of w(q) wrt q.
-660
Let h(a) = 71*a**4 - 2*a**3 -