44*w - 2
Let z(c) be the third derivative of -6 - c**3 + 2*c**2 + 7/20*c**5 + 1/12*c**4 + 0*c. Find the second derivative of z(v) wrt v.
42
What is the derivative of 728*k + 780*k + 590*k - 2157 wrt k?
2098
Let d(t) = 809*t - 824. Let i(p) = -1610*p + 1649. Let q(x) = -7*d(x) - 4*i(x). Differentiate q(f) with respect to f.
777
Find the third derivative of 0 + 0 + 2878*y**3 - 8752*y + 8752*y + 2232*y**2 wrt y.
17268
Let d(v) = -2323*v**2 - 2414*v - 2. Let p(y) = 4629*y**2 + 4826*y + 5. Let n(r) = 5*d(r) + 2*p(r). What is the second derivative of n(b) wrt b?
-4714
Find the third derivative of -18*n**4 + 1421*n**6 + 18*n**4 + 82*n**2 + 65*n**2 wrt n.
170520*n**3
Let i(f) be the third derivative of 4727*f**6/120 - 81*f**5/5 + 2*f**2 - 1059*f. What is the third derivative of i(p) wrt p?
28362
Let z(u) be the first derivative of -77*u**6/120 - 12*u**4 + 14*u**3 + 17. Let p(d) be the third derivative of z(d). Find the first derivative of p(h) wrt h.
-462*h
Suppose 4*v - 3*s = 762, -5*v + 375 + 574 = -2*s. Differentiate v*d**4 - 61*d**4 - 2 + 107 with respect to d.
512*d**3
What is the second derivative of -3874*u**2 - 35901*u + 18946*u + 22661*u wrt u?
-7748
What is the second derivative of 4256*k**5 - 4309*k**5 - 667*k + k**4 + 2942*k wrt k?
-1060*k**3 + 12*k**2
Let h(m) be the second derivative of -202*m + 0*m**3 - 11/6*m**4 + 0 + 0*m**2 + 1/30*m**6 + 191/20*m**5. Find the third derivative of h(b) wrt b.
24*b + 1146
Let d(v) be the third derivative of 49*v**6/10 - v**4/24 - 1397*v**3/3 + 141*v**2 - 3*v. What is the derivative of d(h) wrt h?
1764*h**2 - 1
Find the first derivative of -1801 - 4207 + 355*q**2 + 2536 wrt q.
710*q
Suppose -134 - 30 = -41*t. Differentiate -130*a**4 + 25*a**t + 148 + 21 + 60 - 60*a**4 wrt a.
-660*a**3
Differentiate -5347*w + 2673*w - 407*w**2 + 2674*w + 159 wrt w.
-814*w
Let k(q) be the third derivative of 13*q**7/70 + q**6/20 + 11*q**5/60 - 53*q**4/8 - 4*q**2 - 5*q + 27. What is the third derivative of k(t) wrt t?
936*t + 36
Let p(w) = 4212*w**3 - 3*w**2 - 27*w + 253. Let r(z) = -2106*z**3 + 12*z - 126. Let b(a) = 4*p(a) + 9*r(a). What is the third derivative of b(h) wrt h?
-12636
Let g(t) = 11*t**3 + 37*t**2 - 5*t - 4631. Let n(f) = -16*f**3 - 56*f**2 + 8*f + 6946. Let p(x) = -8*g(x) - 5*n(x). Differentiate p(z) wrt z.
-24*z**2 - 32*z
What is the third derivative of 926*k**4 + 43*k**2 + 5924*k**5 + 1 + 5 + 3*k**6 + 0 - 5924*k**5 wrt k?
360*k**3 + 22224*k
Suppose 3*l = -b, 5*b + 0*l = l + 16. Suppose -22*v = -52*v + 18*v + 36. What is the first derivative of 4*q**3 + 8*q**b + 10*q**3 - 16 - 2*q**v wrt q?
60*q**2
Let o(r) be the second derivative of 0*r**5 + 0*r**2 + 0 - 65/3*r**3 + 0*r**4 + 116/15*r**6 - 136*r. Find the second derivative of o(u) wrt u.
2784*u**2
Let j = -56 + 56. Suppose j = -5*d - 2*z + 1 + 7, 5*d = 2*z + 12. Find the second derivative of -5*q**d - 33*q + 20*q + 0*q**2 wrt q.
-10
Let u = 485 - 384. What is the derivative of -u*n + 99*n - 84 + 80*n**4 + 5 - 19 wrt n?
320*n**3 - 2
Let y(x) be the first derivative of 6*x - 3*x**2 + 64/3*x**3 + 25. Find the second derivative of y(i) wrt i.
128
Let s(b) = -958*b**2 - 16*b - 283. Let f(x) = 1914*x**2 + 28*x + 564. Let d(g) = 4*f(g) + 7*s(g). What is the first derivative of d(z) wrt z?
1900*z
Let a = 451 + -388. Differentiate -a*d + 181 + 6*d + 13*d - 52*d with respect to d.
-96
Let b(r) be the second derivative of -85/2*r**2 + 17/6*r**3 - 1/4*r**4 - 132*r + 0. What is the derivative of b(k) wrt k?
-6*k + 17
Let n = 43 - 40. What is the third derivative of 22*s**2 + 69*s**n - 3 - 20*s**2 - 47*s**3 wrt s?
132
Let p(j) be the first derivative of 1/2*j**3 + 11*j - 6*j**2 - 17. Let h(c) be the first derivative of p(c). Find the first derivative of h(x) wrt x.
3
Let o(g) be the second derivative of 478*g**8/7 - 163*g**4/12 + 5*g**2/2 + 13*g - 57. Find the third derivative of o(j) wrt j.
458880*j**3
Let k(c) be the first derivative of -5 - 270*c**2 - 108*c + 270*c**2 + 3*c**4. Find the first derivative of k(g) wrt g.
36*g**2
Let w(i) be the third derivative of -1327*i**8/168 + 719*i**5/30 + 31*i**2 - 23*i. Find the third derivative of w(y) wrt y.
-159240*y**2
Let d(c) be the second derivative of -c**6/30 - c**5/5 - 197*c**4/12 - 6917*c**3/6 + 2*c + 3060. Find the second derivative of d(u) wrt u.
-12*u**2 - 24*u - 394
Suppose -2*d = -7*d + 45. Suppose 0 = 5*p - d*p + 36. What is the third derivative of 71 - 71 - p*a**5 - 2*a**2 wrt a?
-540*a**2
Let k be (-900)/(-35) + 1 - (-2)/7. Find the first derivative of k - 14 - t + 11 - 3*t**2 wrt t.
-6*t - 1
What is the second derivative of 36 - 122 + 200*z + 38 + 40 + z**3 - 227*z - 190*z**2 wrt z?
6*z - 380
Find the second derivative of 11386*k + 2*k**3 - 9*k**2 - 13012*k + 23*k**2 - 19*k**3 wrt k.
-102*k + 28
Let a(b) be the first derivative of -6303*b**4/2 + 352*b - 1345. What is the first derivative of a(v) wrt v?
-37818*v**2
Find the third derivative of -757*g**3 + 2809*g**3 + 368*g**2 - 436*g**2 - 5 wrt g.
12312
Suppose -136*u = -139*u + 129. What is the third derivative of u*n**2 + 4*n - 3*n + 6*n**5 - 13*n**5 - 43*n**5 wrt n?
-3000*n**2
Let s(r) be the third derivative of r**7/35 - 23*r**5/20 + 1057*r**3/6 - 689*r**2. What is the derivative of s(o) wrt o?
24*o**3 - 138*o
Let v(w) be the third derivative of -27*w**8/56 - w**6/30 + 653*w**4/24 + 2628*w**2. Find the second derivative of v(f) wrt f.
-3240*f**3 - 24*f
Suppose -11*h + 3225 = -6*h. Let k = h + -383. Find the second derivative of 42*p + k - 262 - p**2 wrt p.
-2
Let w be (9 + -8 + 3)/(3 - 1). Find the second derivative of 11*f**3 + 4*f**w - 10*f**3 + 111*f - 20*f**2 - 13*f wrt f.
6*f - 32
Let s = -9 + 12. What is the first derivative of -1994 + 4*j + 85*j**s - 6*j - 4*j**3 + 1915 wrt j?
243*j**2 - 2
Let i be (440/33)/((-6)/(-9)). What is the second derivative of 7*m - 13*m - 59*m**3 + i - 14 - 12 wrt m?
-354*m
Let m(z) be the first derivative of z**4/2 - 201*z**3 - 5*z**2/2 - 303*z + 2748. Find the second derivative of m(r) wrt r.
12*r - 1206
Let f(h) be the second derivative of 101*h**5/10 - 683*h**4/12 + 23*h + 12. Find the third derivative of f(g) wrt g.
1212
Suppose -11*o + 6*o + 506 = 4*x, 8 = -4*o. Let f = -127 + x. What is the third derivative of f + l**4 - 13*l**2 - 2 wrt l?
24*l
Let t(w) be the second derivative of 0*w**4 - 58*w + 0 - 13/3*w**3 + 0*w**2 - 10/3*w**6 + 0*w**5. What is the second derivative of t(d) wrt d?
-1200*d**2
Let x(f) be the second derivative of -41*f**4/3 + 804*f**2 - 2091*f. Differentiate x(b) wrt b.
-328*b
Let h = -178 - -181. Differentiate -50*r**4 + 7393*r**3 - 15 - 7393*r**h wrt r.
-200*r**3
Let b(g) be the third derivative of -1223*g**6/120 + 3*g**5/20 - 21*g**3/2 - 290*g**2. Find the third derivative of b(x) wrt x.
-7338
Let h be 6/(1 + -3)*-1. Suppose -i - h*z = -15, 5*z - 22 - 1 = -i. Find the third derivative of 67*d - 7*d**2 + 23*d**i - 67*d wrt d.
138
Suppose 1 = 2*d - 5*b, 2*d + 2*b + b = 9. Find the third derivative of 32*s**3 + 106*s**3 + 13*s**d - 78*s**2 wrt s.
906
Let g(z) be the third derivative of 0*z**6 + 0 - 53/6*z**3 - z + 1/30*z**5 + 12/35*z**7 + 0*z**4 + 61*z**2. What is the third derivative of g(f) wrt f?
1728*f
Let l(r) be the first derivative of 136*r + 0*r**3 + 17 + 0*r**2 + 0*r**4 + 64/5*r**5. Find the first derivative of l(i) wrt i.
256*i**3
Let f(z) = 48. Let k(x) = 4*x + 145. Suppose 3*g - 14 = -32. Let v(q) = g*k(q) + 21*f(q). Find the first derivative of v(m) wrt m.
-24
Suppose 4*d - 11 = -y, -y - 5*d = -2*y - 7. What is the second derivative of -2 + 21*s**y + 23*s - 18*s - 26*s**3 wrt s?
-30*s
Find the third derivative of 103*j**6 - 14*j**2 - 520*j**6 + 24 - 680*j**6 + 2*j**4 - 3*j**4 - 25*j**2 wrt j.
-131640*j**3 - 24*j
Suppose 8*p = -15 + 47. Find the third derivative of -5*i**4 - 2*i**2 + 11 + 4*i**4 - 20*i**p wrt i.
-504*i
Find the third derivative of -590*h**2 - 950*h**2 - 1 - 13911*h**3 - 2*h + 773*h**2 + 2 - 676*h**2 wrt h.
-83466
Let a be 4/34 + 85925/85. Differentiate -147 + 1011*b - 179*b**2 - a*b with respect to b.
-358*b
Let i(k) = -73*k**4 + 6*k**3 - 2*k - 967. Let p(b) = 296*b**4 - 27*b**3 + 7*b + 3867. Let c(x) = -9*i(x) - 2*p(x). What is the derivative of c(m) wrt m?
260*m**3 + 4
Let i(j) be the second derivative of 148*j**5/5 + 63*j**4 - j**2 - 2021*j. What is the third de