00*b**3
Let c(n) = n**4 - n**3 - n**2 + n. Let u(x) = 43*x**4 + 6*x**3 + 5*x**2 - 6*x - 43. Let p(h) = -6*c(h) - u(h). Find the first derivative of p(l) wrt l.
-196*l**3 + 2*l
Let p = -1 + 7. Find the third derivative of -7*i**2 + 4*i**6 + 8*i**6 + 12*i**p + 23*i**2 wrt i.
2880*i**3
Suppose -5*p + 6 = 91. Let r = 22 + p. What is the third derivative of -4*g**2 - 3*g**2 + 2*g**2 - 3*g**5 - 2*g**r wrt g?
-300*g**2
Suppose 3*q = -0*q + 12. Find the second derivative of -11 - 4*k**4 + 9*k**q + 11 - 10*k wrt k.
60*k**2
Let s(c) be the first derivative of -2*c**3/3 + 34*c**2 - 7*c - 474. Differentiate s(a) wrt a.
-4*a + 68
Let l(b) be the first derivative of -577*b**2/2 + 823*b - 494. Differentiate l(w) with respect to w.
-577
What is the first derivative of -54 + 17*n**2 + 63*n**3 - 17*n**2 + 7 wrt n?
189*n**2
Let l(w) = w**3 + 2*w**2 - 11*w - 6. Let q be l(-4). Find the third derivative of -4*h**6 - h**6 - h**q - 5*h**6 - 8*h**2 wrt h.
-1320*h**3
Let r(u) be the third derivative of -u**8/84 + 71*u**6/120 - u**5/5 + u**3/2 - 112*u**2 - u. Find the third derivative of r(a) wrt a.
-240*a**2 + 426
Find the third derivative of -36*i**5 + 122*i**2 - 192*i**2 + 96*i**2 + 0*i**3 - 4 + 0*i**3 wrt i.
-2160*i**2
What is the first derivative of -501 + 4691*r + 4382*r - 231 - 9840*r wrt r?
-767
What is the second derivative of -885*d**5 + 31*d + 5*d + 892*d**5 wrt d?
140*d**3
Let v(x) = -x**3 + 18*x**2 + 21*x - 31. Let j be v(19). Find the second derivative of 0*o - j*o**4 + 32*o - 4*o wrt o.
-84*o**2
Suppose -22*y = -3*y + 16*y. Let v(n) be the second derivative of 1/5*n**5 + 0*n**3 + 0*n**2 + y - 2*n + 7/12*n**4. What is the third derivative of v(d) wrt d?
24
Let j(b) = -b**2 - 6*b - 1. Let w(p) = 1. Let f(i) = -j(i) - 4*w(i). Let m be f(-7). Differentiate m*g**2 - 2*g - 1 + 2*g - 1 wrt g.
8*g
Let d(x) = -7*x**4 - 6*x**3 + 8*x**2 + 53. Let v(t) = 20*t**4 + 17*t**3 - 23*t**2 - 159. Let p(s) = 17*d(s) + 6*v(s). What is the derivative of p(y) wrt y?
4*y**3 - 4*y
Let i(t) be the second derivative of -15*t**8/8 + t**4/3 - 3*t**2/2 + 669*t. What is the third derivative of i(k) wrt k?
-12600*k**3
Suppose -4*m + 70 = m. Suppose -5*k = -b - m, 0 = k - 0*k - 5*b - 22. Differentiate -10*l - 3 - l + l + k*l with respect to l.
-8
Let i(h) = -2*h**3 - h**2 - 2*h + 1. Let j(l) = 101*l**3 + 3*l**2 + 4*l - 51. Let b(q) = 2*i(q) + j(q). Find the first derivative of b(v) wrt v.
291*v**2 + 2*v
Let c(l) be the second derivative of -l**6/10 + 113*l**4/12 - 39*l**3/2 + 354*l. What is the second derivative of c(h) wrt h?
-36*h**2 + 226
Let g(p) be the third derivative of 0 - 12*p**2 + 0*p**4 + 2*p**3 + 29/60*p**5 + 0*p. Find the first derivative of g(d) wrt d.
58*d
Let y(s) be the third derivative of -s**7/60 - s**5/30 - 7*s**3/6 - 17*s**2. Let f(z) be the first derivative of y(z). Find the second derivative of f(n) wrt n.
-84*n
What is the third derivative of -431*j**3 - 375*j**2 + 60*j**2 + 839*j**3 wrt j?
2448
Suppose 5*r - 3*w = -5, r - 4*w + 8 = -10. Differentiate -2 + 29 - 6*a**r - 2*a**2 wrt a.
-16*a
Find the second derivative of -a**5 + 5*a**5 + 220*a**3 + 3*a**5 - a**4 - 69*a - 220*a**3 wrt a.
140*a**3 - 12*a**2
Suppose 5 = -v - 1. Let s be 26/6 + v/18. What is the third derivative of l**s - l**4 + 4*l**2 - 3*l**4 + l**2 wrt l?
-72*l
Let r(x) be the third derivative of 0*x**5 + 0*x**4 + 10/3*x**3 + 0*x + 0 + 23*x**2 - 11/60*x**6. Differentiate r(u) wrt u.
-66*u**2
Let x(y) be the first derivative of 0*y**2 + 4 + 5*y + 1/6*y**3 - 1/12*y**4. Let f(l) be the first derivative of x(l). Find the second derivative of f(b) wrt b.
-2
Find the second derivative of 24*p**2 + 4*p**5 - 8*p**5 - p + 2*p**5 + 11*p**2 + 11*p wrt p.
-40*p**3 + 70
Let j(x) = -x + 5. Let u be j(-3). What is the third derivative of 0*b**2 - 6*b**2 + 3*b**2 - u*b**4 - 3*b**2 wrt b?
-192*b
Let y(j) = j**2 - 7. Let k be y(3). Find the first derivative of 0*i**2 - 4*i + k*i**2 + 4*i - 10 wrt i.
4*i
Find the third derivative of 96*w**6 - 23*w**5 - 85*w**6 - 149*w**2 - 24*w**6 wrt w.
-1560*w**3 - 1380*w**2
Let h(s) be the first derivative of -2*s**7/7 + 16*s**6/3 - 76*s**3 + 2. What is the third derivative of h(r) wrt r?
-240*r**3 + 1920*r**2
Let y = -61 + 64. Differentiate -5 + 25 + 70*o**3 - 162*o**y + 54*o**3 with respect to o.
-114*o**2
Let l(q) = q**2 - 4*q - 1. Let t be l(5). Differentiate 2*k**4 - t*k**4 + 7*k**4 + 9 with respect to k.
20*k**3
Let t(d) be the first derivative of d**5/5 - 8*d**3/3 + d**2 + 33*d - 70. Find the second derivative of t(c) wrt c.
12*c**2 - 16
Suppose 0 = 5*l + 5 - 0. Let t be (-5 + 2)/(l/1). Differentiate -v**4 - t + 5*v**4 - 8*v**4 with respect to v.
-16*v**3
Suppose 10 = 4*q - 2*q. Let a be (-66)/(-18) + (-2)/(-6). What is the third derivative of 2*s**2 + 4*s**q - 5*s**2 + 0*s**5 + a*s**2 wrt s?
240*s**2
Suppose 6 - 22 = -f. Suppose q + 3*l = f - 4, -3*q = l - 12. Differentiate -4*b**q - b**3 + 2 - 1 wrt b.
-15*b**2
What is the first derivative of 5*o**2 - 3*o**2 + 27*o**3 - 2*o**2 - 151 wrt o?
81*o**2
Let g(l) = 6*l**5 + l**3 + 2*l**2 + 40*l + 1. Let t(y) = y**3 - y**2 + y + 1. Let k(f) = g(f) - t(f). Find the second derivative of k(c) wrt c.
120*c**3 + 6
Let p(c) be the second derivative of -77*c**5/10 - 75*c**4/4 + 9*c + 1. Find the third derivative of p(b) wrt b.
-924
Find the second derivative of -140*n**3 + 48*n**2 - 48*n**2 + 22*n**3 + 23*n + 1 wrt n.
-708*n
Let i(s) be the first derivative of -22/5*s**5 + 0*s**4 + 0*s + 0*s**2 + 10 + 20/3*s**3. Find the third derivative of i(a) wrt a.
-528*a
Let i(t) be the third derivative of -t**5/60 - 7*t**4/24 + t**3/2 + 3*t**2. Let s be i(-7). Find the second derivative of 3*b - s*b + 5*b - b + b**2 wrt b.
2
Find the third derivative of 3*g**4 + 15 - 21*g**3 - 2*g**4 - 25*g**2 + 28*g**2 wrt g.
24*g - 126
Let b(m) be the third derivative of -m**8/336 - 17*m**7/210 - m**5/15 + m**3/6 + 12*m**2 + 3*m. What is the third derivative of b(w) wrt w?
-60*w**2 - 408*w
Suppose -8 = -5*v - 5*u - 3, 14 = 5*v + 2*u. Let s be 14/2 + v/(-2). Find the second derivative of -2*q**4 + s*q**4 + q**4 + 3*q**4 - 2*q wrt q.
84*q**2
Let s(k) = -k**2 - 7*k - 5. Let m be s(-5). Find the second derivative of -5*l**5 + 6*l**m + 3*l**5 - 4*l wrt l.
80*l**3
Suppose -6*g = 3 - 33. Let n = g - 3. What is the second derivative of 4*k**n + 0*k**2 + 0*k + k wrt k?
8
Let j(k) be the first derivative of 9*k**5/5 - 2*k**4 - 8*k**3 + 4*k - 429. Find the third derivative of j(g) wrt g.
216*g - 48
Let v(q) be the second derivative of q**2 - 6*q + 0 - 7/6*q**3. Differentiate v(h) with respect to h.
-7
Suppose w + 36 = -5*w. Let o = w - -6. What is the first derivative of o - 8*p - 1 + 13*p wrt p?
5
Let z = -23 - -23. Find the first derivative of 4*k**2 + z*k**2 - 2 - 9 + 0 wrt k.
8*k
Let h be (-240)/(-135) + 4/18. Differentiate -32*t**h - 53*t - 6 + 53*t with respect to t.
-64*t
Let i(q) = 47*q**3 + 3*q**2 + 5*q + 2. Let o(j) = -47*j**3 - 4*j**2 - 6*j - 3. Let u(h) = 6*i(h) + 4*o(h). Find the third derivative of u(v) wrt v.
564
Let t be 2/(-3) + 8/3. Suppose 0 = 5*y + 5*i + 10, -4*y + 5*i + 6 = 2*i. What is the third derivative of -p**2 + 5*p**4 + y*p**t - p**2 wrt p?
120*p
What is the first derivative of 168*r**2 + 90*r**2 + 26*r**2 + 224 - 36*r**2 wrt r?
496*r
Let p(y) be the second derivative of -y**4/3 - y**3/6 + 61*y**2/2 - 57*y. Differentiate p(z) with respect to z.
-8*z - 1
Let f be 1/2*(-13)/(91/(-42)). Let v(c) be the first derivative of 0*c + 0*c**3 + 2/5*c**5 - 3 + 0*c**4 + f*c**2. What is the second derivative of v(g) wrt g?
24*g**2
Differentiate 730 - 55*c**2 - 48*c**2 - 46*c**2 - 4*c + 140 + 154*c**2 wrt c.
10*c - 4
Let w(t) be the third derivative of -13*t**2 + 0*t**5 + 5/8*t**4 + 0*t + 13/120*t**6 + 0*t**3 + 0. What is the second derivative of w(s) wrt s?
78*s
Let q(p) be the third derivative of -233*p**6/120 - 13*p**5/60 - 34*p**2 - 1. What is the third derivative of q(f) wrt f?
-1398
Let x = 0 + 36. Let n be 1/(-4) + 81/x. What is the third derivative of 2*k**2 - 6*k**n + k**2 - 6*k**2 + 6*k**5 wrt k?
360*k**2
Let q(j) = 21*j**4 - 2*j**3 - 5*j**2 - 2*j. Let t(l) = 22*l**4 - 2*l**3 - 6*l**2 - l. Let v(g) = 4*q(g) - 3*t(g). Find the third derivative of v(k) wrt k.
432*k - 12
Differentiate 19 - 23 + 6*b - b - 23*b**2 - 4*b with respect to b.
-46*b + 1
Let