 second derivative of 90*f**2 - m*f**2 + 20*f - 38*f**2 + 15*f wrt f.
98
Find the third derivative of 1911*g**6 - 1790632 - 1144*g**2 + 1790632 + 303*g**2 wrt g.
229320*g**3
Let j(s) be the second derivative of -31*s**5/20 - s**4/6 + 361*s**2 - 7*s + 12. Differentiate j(a) wrt a.
-93*a**2 - 4*a
Let z(i) = -4*i**4 - 20*i**2 + 3*i + 598. Let d(c) = -2*c**4 - c**2 + c - 1. Let q(u) = -6*d(u) + 2*z(u). What is the derivative of q(j) wrt j?
16*j**3 - 68*j
Differentiate 130*t**2 + 466*t - 46*t**3 - 130*t**2 - 460*t - 491 wrt t.
-138*t**2 + 6
Suppose 16 = 3*y - 2*t, -6*y - 3*t + 6 = -3*y. Let k be y/7 - (6 - 740/28). Find the first derivative of -24 - 16 - 1 + k*a**2 wrt a.
42*a
Let n(u) be the third derivative of 139*u**7/105 + u**6/30 - 247*u**5/10 + 5*u**2 + 101. Find the third derivative of n(m) wrt m.
6672*m + 24
What is the first derivative of 73*m**2 + 35*m**2 + 3608 + 35*m**2 + 112*m**2 + 24*m**4 - m**4 wrt m?
92*m**3 + 510*m
Let r = 1882 + -1873. Let s(b) be the first derivative of r + 11/2*b**2 + 0*b - 7/4*b**4 + 0*b**3. Find the second derivative of s(k) wrt k.
-42*k
What is the derivative of 630*s**2 - 201 - 1561 - 510*s**2 wrt s?
240*s
Suppose -30*t = -41*t + 198. Find the first derivative of 33*v**2 - 57 - 2*v + 30*v**2 - t*v**2 + 183 wrt v.
90*v - 2
Suppose 0 = -q - 3*i + 29, -q + 2*i - 6*i + 29 = 0. Suppose 5*f - q = 11. Find the third derivative of 11*c**2 + c**6 + f*c**2 + 8*c**6 wrt c.
1080*c**3
Suppose -50*d + 46*d + 16199 = 3*k, -d = 5*k - 27021. Find the second derivative of -r**4 + 49*r + 33*r - k*r**3 - 1 + 5336*r**3 wrt r.
-12*r**2 - 414*r
Let n(k) be the second derivative of 749*k**6/30 - 745*k**3/6 - 980*k. Find the second derivative of n(j) wrt j.
8988*j**2
Suppose -4*k = -7*k - 30. Let s be (-8)/k*55/22. Find the third derivative of s*j**4 - 13*j**2 + 5*j**4 - 2*j**4 wrt j.
120*j
Let i = 270 - 265. What is the second derivative of 9 - 2 - 14 + 36*t + i - 158*t**2 wrt t?
-316
What is the second derivative of 3*c**2 + 5*c**2 - c**2 + 103*c**3 - 9*c**2 + 31 - 31*c**3 - 11*c wrt c?
432*c - 4
Let r(s) = 4*s**4 - s. Let n(k) = -6753*k**5 + 24*k**4 - 7*k + 5967. Let z(y) = -n(y) + 6*r(y). Find the second derivative of z(a) wrt a.
135060*a**3
Let n(u) be the second derivative of -465*u**5/4 + 2*u**3 + 2*u**2 + 1699*u. What is the second derivative of n(k) wrt k?
-13950*k
Suppose -3*i + 4*i - 6 = 3*c, i - c = 4. Differentiate -i*l**3 - 7*l**3 - 11*l**3 + 27*l**3 - l**2 - 39 wrt l.
18*l**2 - 2*l
Let u(p) = -562*p**3 + 5*p**2 + 9*p - 344. Let z(f) = 562*f**3 - 6*f**2 - 11*f + 349. Let t(h) = 6*u(h) + 5*z(h). Find the first derivative of t(y) wrt y.
-1686*y**2 - 1
Let q(a) = a**3 + 8*a**2 - 23*a - 27. Let s be q(-10). What is the third derivative of g**4 - 40*g**2 - 300*g**s + g**4 + 301*g**3 wrt g?
48*g + 6
Let r(a) be the first derivative of 148*a**7/7 - a**6/6 + 2159*a**3/3 + 2088. Find the third derivative of r(j) wrt j.
17760*j**3 - 60*j**2
Let p(l) = -3*l**3 - l**2 - l + 3. Let i(h) = -1722*h**3 + 6*h**2 + 1285*h - 18. Let j(t) = -i(t) - 6*p(t). What is the second derivative of j(x) wrt x?
10440*x
Let a = -106 - -110. Find the third derivative of -2235*k**3 + 114*k**2 - 34*k**a + 2235*k**3 wrt k.
-816*k
Let g(u) = -59*u + 34. Let x(n) = 60*n - 35. Suppose -b - 4*z - 9 = -3*z, 0 = 2*b + 5*z + 30. Let k(t) = b*x(t) - 4*g(t). What is the derivative of k(v) wrt v?
-64
Differentiate -18*t**3 - 1651 - 528*t**3 + 197*t**3 with respect to t.
-1047*t**2
Suppose 187 = 2*f - 0*x + 5*x, 0 = 5*f - 3*x - 421. Let m = f - 52. Find the third derivative of d**2 + m*d**4 + 38*d**4 + 4*d**5 + 0*d**2 - 71*d**4 wrt d.
240*d**2 + 24*d
What is the third derivative of 16413*m**4 - 1976*m**2 - 48*m**3 - 16413*m**4 - 2*m**6 wrt m?
-240*m**3 - 288
Let j(d) be the third derivative of 4685*d**4/12 + 453*d**3 + d**2 - 735*d. Differentiate j(g) with respect to g.
9370
Let a(n) be the third derivative of -701*n**5/30 + 543*n**3/2 - 272*n**2. Find the first derivative of a(h) wrt h.
-2804*h
Let j(g) = 3035*g**3 - 78*g**2 - 42. Let p(v) = 3033*v**3 - 77*v**2 - 36. Let l(y) = -6*j(y) + 7*p(y). Find the third derivative of l(m) wrt m.
18126
Find the third derivative of 1790*t**2 + 5181*t**2 - 609*t**2 + 9901*t**4 wrt t.
237624*t
Let f(u) be the third derivative of u**5/4 - 7*u**4/8 - 299*u**3/6 - 27*u**2 - 5*u. What is the first derivative of f(q) wrt q?
30*q - 21
Let d(l) be the second derivative of l**4/4 + 50*l**3/3 + 1669*l**2/2 + 4*l + 158. Differentiate d(p) with respect to p.
6*p + 100
Find the second derivative of -68 + 24 + 32 + 29 - 1499*l**2 - 160*l wrt l.
-2998
What is the second derivative of 76*w**2 - 191*w - 121*w - 435*w - 119*w wrt w?
152
Let s be (-2 - 2) + 0 - (-5 + -3). Find the third derivative of -30*v**6 - s*v**2 - 112*v + 55*v + 55*v - 40*v**6 wrt v.
-8400*v**3
What is the third derivative of 476*y**3 + y**4 - 4*y**5 + 14*y**5 - 7*y**5 - 1232*y**2 - 4*y**5 - y**5 wrt y?
-120*y**2 + 24*y + 2856
Let r be (-5)/(-32 + 2) + (-22)/(-12). Find the second derivative of -22*w**2 - 9*w**4 + 1 + 1 + 21*w**r - 6*w wrt w.
-108*w**2 - 2
Let o(q) be the first derivative of q**7/840 + 37*q**4/8 - q**3/3 + 10*q**2 + 85. Let b(x) be the third derivative of o(x). Differentiate b(j) wrt j.
3*j**2
Let u(j) = -5*j + 59. Let s be u(11). What is the third derivative of -138*r**6 + 6*r**2 - 3*r + 17622*r**4 - 17622*r**s - r**5 wrt r?
-16560*r**3 - 60*r**2
Let q(x) = x**3 + 7*x**2 - 5*x + 4. Let c be q(-6). Let a = -44 + c. What is the second derivative of -3551 + 3551 + a*v**4 - 10*v wrt v?
312*v**2
Let u(z) = z**3 - 5*z**2 + 7. Let v be u(4). Let x be ((-4)/(-6))/((-2)/v + 0). What is the first derivative of o**3 - 46 + 4*o**3 - 4*o**x + 27 wrt o?
3*o**2
Let s(h) be the first derivative of -123/4*h**4 + 0*h + 159/2*h**2 - 1/3*h**3 - 140. What is the third derivative of s(m) wrt m?
-738
Let q(z) be the second derivative of -328*z**7/21 + 5*z**3/6 - 51*z**2 - 2055*z. Find the second derivative of q(n) wrt n.
-13120*n**3
Let n(u) = 69*u - 8. Let p(y) = y**3 - 13*y**2 + 4. Let z be p(13). Let d(q) = q. Let m(c) = z*d(c) + n(c). What is the derivative of m(v) wrt v?
73
Suppose 0 = 4*r - 57 - 311. Let f = -88 + r. Find the third derivative of -6*s**f - 9*s**2 + 5*s**4 - 9*s**4 - 4*s**4 wrt s.
-336*s
Find the third derivative of 689*m**6 - 1310*m**6 - 909*m**2 - 950*m**6 + 3*m - 3*m wrt m.
-188520*m**3
Suppose f - 84 = -3*m, 5*f = 4*f - 3. Find the second derivative of 0 - p + 209*p + m*p**2 + 196*p**2 + 0 wrt p.
450
Let d(c) be the second derivative of 83*c**7/42 - 11*c**5/20 + c**4/2 - 7*c**3/2 + c**2 - 6132*c. Find the third derivative of d(u) wrt u.
4980*u**2 - 66
Let t = 4482 - 4478. Let s(a) be the second derivative of 0 - a**4 + 0*a**2 + t*a + 19/6*a**3. Find the second derivative of s(b) wrt b.
-24
Find the first derivative of -6*y**4 - 1057*y + 5874 - 5*y**2 + y**2 + 4*y**4 + 3*y**2 + 104*y wrt y.
-8*y**3 - 2*y - 953
Let a(v) be the first derivative of 24/5*v**5 + 48 - 1/2*v**2 + 0*v**4 + 0*v + 0*v**3. Find the second derivative of a(d) wrt d.
288*d**2
Suppose 9*m + 10*m - 20995 = 0. Find the third derivative of -2*o**3 - 4*o**5 + m*o**2 + 8*o**3 - 888*o**2 + 5*o**3 wrt o.
-240*o**2 + 66
Let c(u) be the third derivative of -2*u**6/15 - 17*u**5/30 - 389*u**3/6 + 3*u**2 - u. Find the first derivative of c(a) wrt a.
-48*a**2 - 68*a
Let p = 415 - 411. What is the third derivative of 3*l**3 + 0*l**3 - 252*l**2 - l**3 + l**3 - 43*l**4 - 21*l**p wrt l?
-1536*l + 18
Let n(v) be the first derivative of -3/2*v**2 + 2*v**4 + 23 + 2*v - v**3. What is the second derivative of n(c) wrt c?
48*c - 6
What is the first derivative of 5768*u - 5258*u + 7842*u + 3713*u + 14150 + 2028*u wrt u?
14093
Let k(j) = 13*j + 34. Let h be k(-7). Let y = h - -61. What is the second derivative of y*c - c - c + 39*c**2 - 15*c**2 wrt c?
48
Let g be 5/(-30) + 0 + 143/(-6). Let b be ((-16)/g)/(4/534). Find the third derivative of 18*d**6 + 5*d**2 + 89*d**5 - b*d**5 wrt d.
2160*d**3
Let k(w) = -2*w + 32. Let u be k(16). Suppose 9*h - 4*h - 45 = u. Differentiate 127*f - h - 127*f - 29*f**2 with respect to f.
-58*f
Suppose -243*m + 4639 = 166*m + 549. Let h(k) be the first derivative of 0*k**4 + 21*k + 0*k**3 + 0*k**2 - m + 4/5*k**5. Differentiate h(x) wrt x.
16*x**3
Let u(w) be the third deriva