- 108*c + d*c**4 wrt c.
96*c
Let l(n) be the second derivative of n**7/21 - 3*n**6 - 7*n**4/3 - 138*n. What is the third derivative of l(i) wrt i?
120*i**2 - 2160*i
Suppose 13*t - 20 = 8*t. Find the second derivative of -7*w**t - 12*w**4 + 4*w**4 - 5*w**4 + 5*w wrt w.
-240*w**2
Let j(n) be the third derivative of 2/21*n**7 + 0*n + 0 + 0*n**6 + 0*n**4 + 0*n**3 - 7/60*n**5 - 8*n**2. Find the third derivative of j(q) wrt q.
480*q
Suppose 0 = -2*j + 5*r + 8, 19 = 2*j + 2*r - 3. Suppose 5*d - j = 2*d. What is the third derivative of -4*v**2 + 10*v**3 + 0*v**2 - d*v**2 wrt v?
60
Let m(w) = 77*w**3 + 12*w**2 - 47*w. Let x(k) = 2*k**2 - k. Let v(i) = -m(i) + 6*x(i). Find the second derivative of v(h) wrt h.
-462*h
Let n(r) = -4*r - 5*r + 34 - 9*r + 0*r. Let o(w) = 27*w - 51. Let x(l) = -7*n(l) - 5*o(l). What is the first derivative of x(s) wrt s?
-9
Let v(z) be the third derivative of -37*z**2 + 0*z**3 + 2/15*z**5 + 5/6*z**4 + 0*z + 0. What is the second derivative of v(m) wrt m?
16
Let r(m) = m**2 - 14*m + 17. Let u be r(13). Let a be -2*(-2 + 4)/(-1). Differentiate 1 + 4*p + p + a*p - u*p wrt p.
5
Let s(v) = -v**2 + 12*v - 11. Let w be s(9). Let n = -14 + w. Find the third derivative of -g**2 - 8*g**4 - 2*g**2 + 8*g**n wrt g.
-192*g
Let v(r) = 32*r**3 + 225*r**2 - 1. Let m(b) = -64*b**3 - 448*b**2 + 2. Let s(l) = 2*m(l) + 5*v(l). What is the third derivative of s(o) wrt o?
192
Let x(t) be the second derivative of -119*t**5/20 + 47*t**4/12 - t**2/2 + 78*t. Find the third derivative of x(r) wrt r.
-714
Let r = 40 - 37. What is the third derivative of 13*j**2 + 617*j**r - 617*j**3 + 8*j**5 wrt j?
480*j**2
Let t(a) = -a**2 + 5*a - 2. Let q be t(4). Suppose 0 = -7*r + q*r + 20. What is the third derivative of 12*c**2 + 3*c**2 - 5*c**2 + r*c**4 - 5*c**4 wrt c?
-24*c
What is the third derivative of w**4 - 171*w**5 + 249*w**2 - 3*w**4 - 10*w**2 - 12*w**2 + 36*w**2 wrt w?
-10260*w**2 - 48*w
Let a be 98/6 - 10/30. Find the first derivative of a*k + 2 - 16 - 27*k wrt k.
-11
Let k(g) = g**2 - 3. Let x be k(-3). Suppose x*v + 8 = 308. What is the second derivative of -34*q - 5*q**5 - 27*q + v*q wrt q?
-100*q**3
Let j(g) = -25*g**2 - 3. Let a(m) = 19*m - 19*m + 12*m**2 + 2. Let o(r) = -13*a(r) - 6*j(r). Differentiate o(w) with respect to w.
-12*w
Let v(f) be the second derivative of 1/2*f**5 + 0*f**2 + 0*f**4 + 7*f + 0 - 2/3*f**3. Find the second derivative of v(y) wrt y.
60*y
Let g(y) be the second derivative of -153*y**4/4 + 547*y**2/2 - 4*y - 3. Find the first derivative of g(o) wrt o.
-918*o
Suppose -18 = -6*p - 102. Let d = -12 - p. What is the second derivative of -9*b - 11*b**d + 21*b**2 - 10*b**2 + 3*b**3 wrt b?
18*b
Let s(p) be the second derivative of -29*p**6/15 + 7*p**4/2 + 55*p. Find the third derivative of s(x) wrt x.
-1392*x
Let h(v) be the third derivative of v**7/70 + 13*v**6/60 + v**5/60 + 34*v**3/3 + 142*v**2. What is the third derivative of h(l) wrt l?
72*l + 156
Let a be (-270)/(-33) + (-4 - 210/(-55)). What is the third derivative of 6*l + l + a*l**5 - 6*l**2 - 7*l wrt l?
480*l**2
Let y(b) be the first derivative of -7/5*b**5 + 0*b**4 + 0*b**2 - 10 + 4*b + 0*b**3. Differentiate y(t) wrt t.
-28*t**3
Suppose 18 + 162 = 6*m. Find the third derivative of m*v**5 + v**2 - 11*v**2 + 26*v**2 wrt v.
1800*v**2
Let v(w) be the third derivative of -w**6/24 + 31*w**5/30 + w**4/12 - 24*w**3 + 915*w**2. Find the second derivative of v(m) wrt m.
-30*m + 124
Let q be (1 + 1 + -3)*-4. Differentiate 15*h + q - 2*h + 0 with respect to h.
13
Let j(r) be the second derivative of r**10/3360 + r**6/80 + 2*r**4/3 + 9*r. Let q(m) be the third derivative of j(m). Find the second derivative of q(k) wrt k.
180*k**3
Let v(m) be the third derivative of -77*m**6/40 + 9*m**5/20 + m**4/24 - 452*m**2. What is the third derivative of v(b) wrt b?
-1386
Differentiate 4*c - 17*c - 66*c - 43 + 5*c + 4*c**2 - 6*c**2 with respect to c.
-4*c - 74
Suppose 0 = 8*k - 27 - 29. Find the second derivative of -10*m**2 - 3*m + 5*m - k - 17 wrt m.
-20
Let a(w) = w**2 + 7*w + 10. Let d be a(-6). What is the second derivative of -77*x**d + 24*x**4 + 32*x**4 - 19*x wrt x?
-252*x**2
Let r(m) be the second derivative of -629*m**5/20 - 15*m**3/2 + 3*m**2/2 + 332*m. Find the second derivative of r(k) wrt k.
-3774*k
Suppose 3*a = 3 + 3. Let g(h) = -h**3 - h**2. Let u(d) = 16*d**3 + 20*d**2 + 4*d. Let v(l) = a*u(l) + 40*g(l). Find the second derivative of v(p) wrt p.
-48*p
Let m(i) be the third derivative of -i**9/24 - 47*i**5/60 + 91*i**2. Find the third derivative of m(l) wrt l.
-2520*l**3
Suppose -4*j + 9 + 3 = w, 0 = -w - j + 6. Find the second derivative of 11*r - 479 + 479 - 3*r**w wrt r.
-36*r**2
Let p(d) be the third derivative of -d**6/36 - 3*d**4/8 + 5*d**3/3 + 2*d**2. Let z(x) be the first derivative of p(x). What is the derivative of z(g) wrt g?
-20*g
Find the third derivative of 13 - y**4 + 16567*y + 3*y**2 - 16567*y - y**3 wrt y.
-24*y - 6
Let o = 57 + -45. What is the derivative of -o + 13 - q**3 + 10 - 1 wrt q?
-3*q**2
Let j(c) = 20*c**3 + 54*c**2 + 804*c + 14. Let r(k) = -7*k**3 - 18*k**2 - 268*k - 5. Let z(o) = -3*j(o) - 8*r(o). Find the second derivative of z(a) wrt a.
-24*a - 36
Suppose -2*j - 3 = -k - 4, -10 = -5*j. Differentiate -3*o**k - 46 + 13*o**4 - 9*o**4 - 13*o**4 + 5*o**3 wrt o.
-36*o**3 + 6*o**2
Suppose 10*c - 7*c + 39 = 0. Let i = c + 18. What is the second derivative of 0*g**5 + 134*g - 133*g - 8*g**i wrt g?
-160*g**3
Let t(s) be the first derivative of 6*s**7/35 - 3*s**3 + 17*s**2/2 + 6. Let g(a) be the second derivative of t(a). What is the first derivative of g(z) wrt z?
144*z**3
What is the derivative of -c**2 - 9*c + 71 - 5*c - c**2 + 38 + 140 wrt c?
-4*c - 14
Suppose 0 = -5*p - 1 + 11. Suppose 3*c - p*c - 14 = -5*l, -5*l + 6 = -c. What is the second derivative of c*r**5 + r**2 + 6*r - r**2 - 7*r**5 wrt r?
-60*r**3
Let z = 846 - 846. Let w(r) be the second derivative of 1/3*r**4 + 0 + 1/20*r**5 + z*r**2 - 7*r + 0*r**3. What is the third derivative of w(v) wrt v?
6
Let n(t) be the second derivative of t**7/42 - 43*t**4/4 + 93*t**3/2 - 187*t. What is the second derivative of n(v) wrt v?
20*v**3 - 258
Let h(d) be the first derivative of 16*d**3 + 21*d**2/2 + 2*d - 94. What is the second derivative of h(q) wrt q?
96
Let j be -80 + 89 - (-23)/(-3). Let n(c) be the first derivative of 0*c + j*c**3 - 7 + 7/2*c**2. What is the second derivative of n(h) wrt h?
8
Find the first derivative of -5*b - 121*b + 35 + 61*b - 41*b wrt b.
-106
Let b be (-17)/68 + 26/8. Let w be 12/(-16)*(-8)/b. What is the derivative of 12*m**2 - 6 - 6*m**w + m**2 wrt m?
14*m
Let h(z) = 13*z**4 - 27*z**3 + 3*z + 14. Let w(d) = 11*d**4 - 26*d**3 + 3*d + 14. Let c(y) = -5*h(y) + 6*w(y). Find the second derivative of c(r) wrt r.
12*r**2 - 126*r
Let i = -339 + 339. Let h(u) be the third derivative of 0*u**5 - 2*u**2 + 1/12*u**4 + 0*u**3 - 1/30*u**6 + 0*u + i. Find the second derivative of h(n) wrt n.
-24*n
Suppose -3*a - 3 = -9. What is the second derivative of -t**a - t**2 + t + 4*t**2 + 8*t wrt t?
4
Let o(s) = -s**2 + s. Suppose 53 - 46 = -7*i. Let c(v) = 5*v**2 - 4*v. Let d(k) = i*c(k) + 4*o(k). What is the second derivative of d(g) wrt g?
-18
Let x(d) be the third derivative of 17*d**7/14 + 5*d**4/8 + d**3 + 381*d**2. Find the second derivative of x(j) wrt j.
3060*j**2
Let n(d) = -100*d**3 - 8*d**2 - 8*d + 282. Let i(r) = -66*r**3 - 5*r**2 - 5*r + 188. Let y(x) = -8*i(x) + 5*n(x). Differentiate y(s) with respect to s.
84*s**2
Let z(i) be the second derivative of i**6/60 + i**4/3 + 3*i**2/2 + 2*i. Let j(t) be the first derivative of z(t). Find the second derivative of j(a) wrt a.
12*a
Let p(y) be the second derivative of -94*y**6/5 + 305*y**3/6 - 43*y. What is the second derivative of p(b) wrt b?
-6768*b**2
What is the third derivative of 360*l**2 + 46 + 302*l**2 + 384*l**3 + 32*l**2 - 46 wrt l?
2304
Suppose -5*p - 20 = 0, -j - 6*p + 2*p + 80 = 0. Let n be (-4)/(-10) - j/(-60). What is the third derivative of 3*r**2 - r**6 + 16*r**2 - 9*r**n wrt r?
-120*r**3
Let z(x) = -x**3 + 4*x**2 + 3*x - 9. Let k be z(2). What is the second derivative of -81*q + 116*q - 29*q**5 + 10*q**k wrt q?
-380*q**3
Suppose 5 = 4*h - 3*j - 3, 0 = 5*j. Let w(i) be the second derivative of 0*i**h - 4*i + 0 - 1/3*i**4 - 7/6