 + 224*i**4 - 36051 + 8*i**3 + 168*i**4 wrt i?
1568*i**3 + 24*i**2
Let z(w) be the first derivative of 81*w**2 + 0*w**4 + 0*w + 84 + 0*w**3 + 235/6*w**6 + 0*w**5. What is the second derivative of z(h) wrt h?
4700*h**3
Suppose 21*f + 12 = 25*f. Differentiate 75*u**3 - 19 - 23*u**f - 34*u**3 wrt u.
54*u**2
Let v be 2727/(-12)*80/(-30). What is the derivative of -6 + v*x**2 + 3*x**3 - 17 - 613*x**2 - 24 wrt x?
9*x**2 - 14*x
Let n(a) = -1578*a**3 - 20*a + 205. Let p(d) = 2366*d**3 + 28*d - 308. Let k(j) = -7*n(j) - 5*p(j). What is the first derivative of k(h) wrt h?
-2352*h**2
Let i = 62 + -51. Let q be 0 + -3 + i + -2. What is the third derivative of 6*s**6 + 2*s**2 - 5*s**2 + 14*s**q - s**2 wrt s?
2400*s**3
Find the second derivative of -51574*k**2 + 5040*k - 3231*k**4 + 51574*k**2 - 1004*k wrt k.
-38772*k**2
Let p(b) = -56*b**2 - 82*b - 8183. Let q(i) = 327*i**2 + 492*i + 49097. Let g(n) = -23*p(n) - 4*q(n). Differentiate g(t) with respect to t.
-40*t - 82
Let k be (-3)/((-624)/206 - -3). Let y = -100 + k. Find the first derivative of 25 - q**y - 6 + 3*q**3 + 14*q**3 wrt q.
48*q**2
Let t = -1993 + 1993. Let a(u) be the first derivative of -16 + 0*u**4 - 5*u**2 + 0*u**3 + 2/5*u**5 + t*u. Find the second derivative of a(c) wrt c.
24*c**2
Let t(f) be the first derivative of -212*f**3/3 + 105*f**2/2 + 2*f + 603. Find the second derivative of t(z) wrt z.
-424
Let l(f) be the second derivative of -f**6/30 + f**5/20 + f**4/4 + 4645*f**3/3 - 8650*f. Find the second derivative of l(o) wrt o.
-12*o**2 + 6*o + 6
Let g(p) be the first derivative of 19*p**5/5 + p**4/2 + 24*p**3 - 1502*p**2 + 5721. Find the second derivative of g(c) wrt c.
228*c**2 + 12*c + 144
Let d(j) = j**3 + 21*j**2 - j - 16. Let o be d(-21). Find the second derivative of -47426 + 47426 - 105*k - o*k**2 wrt k.
-10
Find the second derivative of 76*q**3 + 3*q**4 + 0 + 2 + 259900*q - 1 + 42*q**3 - 259793*q wrt q.
36*q**2 + 708*q
Let c(i) = -9*i**2 + i + 20*i + i + i**3 - i. Let p(s) = s**3 + s**2 + s. Let d(b) = -c(b) - 5*p(b). Find the second derivative of d(u) wrt u.
-36*u + 8
Let h be 84 - (30/(-3))/(-2). Find the third derivative of 83*x**6 - h*x**6 - 26*x**2 - 32*x**2 wrt x.
480*x**3
Let r(q) be the second derivative of 4*q**6/15 - 209*q**3/6 - 5701*q**2/2 - 22*q - 49. What is the first derivative of r(a) wrt a?
32*a**3 - 209
Find the first derivative of 496 + 978*z**4 - 1712 - z**2 - 687 - 1678 wrt z.
3912*z**3 - 2*z
Let u(k) = -2*k**2 + 17*k + 14. Let g be u(9). Suppose -2 + 47 = g*x. Find the second derivative of -7*r**4 + 44*r**5 - x*r**4 + 16*r**4 - 34*r wrt r.
880*r**3
What is the second derivative of -9*t**3 + 2*t**3 - 20*t**2 + t**3 - 53*t + 85*t**2 + 4 + 5*t**3 wrt t?
-6*t + 130
Let k(o) = -o**3 - 17*o**2 + 38*o - 2. Let n be k(-19). Let s be (-8 - n)/(-3) + 2. What is the third derivative of -7*p**s - 2672*p - 8*p**2 + 2672*p wrt p?
-168*p
Let p(k) be the second derivative of 0 + 1/3*k**4 + 0*k**2 + 0*k**3 + 32/21*k**7 + 0*k**6 + 0*k**5 - 71*k. Find the third derivative of p(j) wrt j.
3840*j**2
Let p(a) be the second derivative of a**6/10 + 31*a**4/4 + 21*a**3/2 - 9*a**2/2 - 3*a - 294. Find the second derivative of p(i) wrt i.
36*i**2 + 186
Let i(z) = -3*z**2 + 59*z + 24. Let f be i(20). Suppose -f*j + 90 = -30. Differentiate -11 - 12 - j*q**2 + 30*q**2 + 26*q**4 wrt q.
104*q**3
Let k(d) = 36*d**2 - 18. Let t(s) = -s**2 + 8 - 3 - 5. Suppose 6 - 4 = 2*y. Let h(l) = y*k(l) + 10*t(l). Differentiate h(x) with respect to x.
52*x
Let f = 84 + -88. Let u(x) = -136*x + 11. Let v(r) = 134*r - 13. Let p(k) = f*v(k) - 5*u(k). Differentiate p(y) wrt y.
144
Let m be (-800)/(-15) + (-7)/21. Differentiate 54 - 39*y**3 - 5 - 31 + m wrt y.
-117*y**2
Let t = 63 - 58. Suppose -w = 3*p - p - 37, t*p = 5*w + 55. Differentiate 9 + p - 12*v + 9*v - 3 wrt v.
-3
Suppose s + 13 - 15 = 0. Find the third derivative of 46*a**6 + 6*a**s - 5*a - 20*a**2 + 10*a**2 wrt a.
5520*a**3
Let z(a) = -a**2 + 14*a - 7. Let v be (10/(-55))/(-1) + 141/11. Let u be z(v). What is the second derivative of 15*p + 15*p**2 + u*p + 4*p + 4*p**2 wrt p?
38
Let c(a) be the third derivative of -513*a**6/40 - 995*a**4/24 + a**3/3 - 2*a**2 + 1278. Find the second derivative of c(k) wrt k.
-9234*k
Let d(c) = 126*c - 4. Let k(x) be the first derivative of -251*x**2 + 16*x - 63. Let m(r) = 9*d(r) + 2*k(r). What is the derivative of m(s) wrt s?
130
Let n be -64*((-54)/(-8))/(-27). Suppose 5*s = 61 + 254. Find the second derivative of s*c - 133*c + n*c**5 + 86*c wrt c.
320*c**3
Let v(t) be the second derivative of 1624*t**6/15 + t**4/6 + 4141*t**3/2 + 9706*t. What is the second derivative of v(a) wrt a?
38976*a**2 + 4
Suppose -45*q + 16*q - 319 = 0. Let t(l) = -212*l - 155. Let z(u) = -106*u - 79. Let b(v) = q*z(v) + 6*t(v). What is the first derivative of b(m) wrt m?
-106
Suppose -4*i + 6 + 14 = 0. Suppose 2*k + 3*b = 21, -12 + 2 = i*k - 5*b. Find the third derivative of 3*g**k + 0*g**3 + 11*g**3 - 10*g**2 - 2*g**3 wrt g.
72
Let u(n) be the first derivative of -164*n**4 + 4*n**3/3 + 14*n**2 - 4396. Find the third derivative of u(z) wrt z.
-3936
Suppose -2*v - 1 = -2*t + 3, -2*t + 10 = 0. Let x(d) = d**2 - 4. Let l be x(v). Find the second derivative of 0*h**5 - h**l + 11*h**5 + 2*h + h wrt h.
200*h**3
Find the third derivative of 1103*s - 2 - 39*s**3 + 7229*s**5 - 223*s**2 + 39*s**3 - 1101*s wrt s.
433740*s**2
Let z(i) be the first derivative of -460*i**5 + 10*i**3/3 + 45*i**2 + i + 1457. What is the third derivative of z(a) wrt a?
-55200*a
Let t(k) be the third derivative of -2*k**7/21 + k**6/120 - 253*k**3/3 - 6*k**2 - 13*k. What is the first derivative of t(n) wrt n?
-80*n**3 + 3*n**2
Let c(x) be the third derivative of -427*x**5/15 - 29*x**4/8 + x**3/3 + 115*x**2 + 4*x. What is the second derivative of c(z) wrt z?
-3416
Suppose 4*i - 2*i = -4*o, -o = -i - 6. What is the third derivative of v - 7*v**4 - 64*v**2 - 38*v**o + v**5 + 52*v**2 wrt v?
60*v**2 - 168*v
Find the second derivative of 921*d - 6188*d**5 + 4159*d**5 + 1148*d wrt d.
-40580*d**3
Let s(o) be the third derivative of 163*o**6/30 + 398*o**5/15 + 540*o**2 - o. Find the third derivative of s(d) wrt d.
3912
Let y(d) = -d**2 - 11*d + 22. Let k be y(-10). Let r = 52 - 50. Find the first derivative of 25 + 31*h**2 - 11*h**r - k wrt h.
40*h
Let z(m) be the first derivative of 120*m**3 + 9*m**2/2 + 3968*m - 11809. What is the first derivative of z(k) wrt k?
720*k + 9
Let y = 117 - 113. Let p(z) = 33*z**3 + 16. Let a(b) = 34*b**3 + 17. Let m be (2 - (-14)/(-4))*2. Let r(x) = m*a(x) + y*p(x). Differentiate r(o) wrt o.
90*o**2
What is the third derivative of -8*o**4 + 252*o**2 - 14679*o**5 + 12976*o**5 + 8*o**4 wrt o?
-102180*o**2
Let u(s) be the second derivative of 11*s**4/6 - 83*s**3/6 - 6*s**2 - 25*s. Let o(b) be the first derivative of u(b). What is the derivative of o(n) wrt n?
44
Let o be (-3)/(-1)*532/3. Let k be -56*(3 + (-4927)/390 + (-2)/(-15)). What is the second derivative of -50*i**4 + 16*i + o - k + 13*i**4 wrt i?
-444*i**2
Let l(o) be the second derivative of -52/3*o**3 - 31*o - 19/2*o**2 + 0. Differentiate l(z) wrt z.
-104
Let m(u) be the third derivative of 23/8*u**4 - 50/3*u**3 - 233*u**2 - 1/60*u**5 + 0 + 0*u. Find the first derivative of m(r) wrt r.
-2*r + 69
Find the second derivative of 27651 + 1992*t**3 + 185*t - 27654 + 142*t wrt t.
11952*t
Suppose -3*l + 137 = m - 29, m + 2 = 0. Let x = l - 42. Differentiate x*u**3 + 4*u**3 - 1 + 12 wrt u.
54*u**2
Let f(i) be the third derivative of -3*i**3 + 0 + 0*i + 4*i**2 + 29/24*i**4. What is the first derivative of f(b) wrt b?
29
Let y(v) be the second derivative of -397*v**6/6 - 369*v**4/4 - v**3/3 - v**2 + 5124*v. Find the third derivative of y(r) wrt r.
-47640*r
Let o(t) be the third derivative of -52/3*t**3 + 78*t**2 + 43/8*t**4 + 0 + 0*t. What is the first derivative of o(j) wrt j?
129
Find the third derivative of -5191*j**2 - 1041*j**3 + 2090*j**3 - 72*j**4 - 1046*j**3 wrt j.
-1728*j + 18
Let o(m) be the third derivative of -m**7/15 + m**6/12 - m**5/30 + 118*m**4/3 - m**3/3 - 12*m**2 + 6*m - 9. What is the third derivative of o(c) wrt c?
-336*c + 60
Let g = -74 + 73. Let x(j) = 14*j**2 - 3*j - 3. Let i be x(g). What is the third derivative of -88*v**3 + i*v**2 + 33*v**4 + 88*v**3 wrt v?
792*v
Suppose 1 -