et g(z) = -z**2 - 3*z - 9. Let j(f) = f**2 + f + 5. Let q(l) = -2*g(l) - 5*j(l). Let c(b) be the first derivative of q(b). Differentiate c(d) wrt d.
-6
Let l = 18 - 12. Differentiate -7*w**3 + l*w**3 + 5 + 5*w**3 wrt w.
12*w**2
Let a(b) be the third derivative of -2*b**7/105 - 3*b**5/20 + 2*b**2. What is the third derivative of a(c) wrt c?
-96*c
Let q(z) be the third derivative of -2*z**8/21 + z**5/3 + 37*z**2. What is the third derivative of q(s) wrt s?
-1920*s**2
Suppose -3*k - k + 20 = 0. What is the second derivative of -m**2 + k*m**2 - 6*m + 5*m - m**2 wrt m?
6
Let i be (-51)/(-9) + (-4)/6. What is the second derivative of 2*d - i*d**2 + 2*d**2 + 4*d**2 wrt d?
2
Find the second derivative of -9*l**5 + 5*l + 2*l**2 + 7*l - 2*l**2 wrt l.
-180*l**3
Let p be ((-2)/10)/(4/10)*0. Let f(m) be the first derivative of 0*m**3 + 0*m**4 + p*m**2 - 3/5*m**5 + 4*m + 1. Differentiate f(x) with respect to x.
-12*x**3
Suppose -21 + 3 = -2*r. Let s(z) = -z**3 + 8*z**2 + 9*z + 4. Let d be s(r). What is the third derivative of 4*l + 18*l**3 + l**2 - d*l - 19*l**3 wrt l?
-6
Let r(i) = -2*i**4 - 7*i**2 - 4*i + 4. Let d(k) = k**4 + 8*k**2 + 5*k - 5. Let w(s) = -4*d(s) - 5*r(s). Find the third derivative of w(b) wrt b.
144*b
Let y(i) = -6*i**3 + 2*i**2 - 2*i + 1. Let d be y(1). Let x = -2 - d. What is the third derivative of 7*t**2 + x*t**6 + 1 - 5*t**2 - 1 wrt t?
360*t**3
Let c(j) be the third derivative of j**6/40 - j**3/2 - 8*j**2. Find the first derivative of c(r) wrt r.
9*r**2
Let z be ((0/(-4))/4)/3. Let c(m) be the first derivative of z*m**4 + 0*m + 1/5*m**5 + 0*m**3 - 1 - m**2. Find the second derivative of c(p) wrt p.
12*p**2
Suppose 2*x + x = -3*q - 3, 2*x - 10 = q. Suppose -2*t - 6 = l + 2*t, -4 = -x*l - t. Find the first derivative of l + 3*g - 3*g - 2*g**2 wrt g.
-4*g
Let g(n) be the first derivative of -1 + 1/2*n**2 + 1/2*n**3 + 1/8*n**4 + 0*n. Let y(k) be the second derivative of g(k). Differentiate y(a) with respect to a.
3
Find the first derivative of -2*d + 26 - 21 - 3*d wrt d.
-5
Suppose -7*f + 2*f = -20. What is the second derivative of 0*a + 2*a + a + a - a**f wrt a?
-12*a**2
Let w(h) = -h**3 + h + 1. Let f(k) = -5*k - 6. Let b(g) = -f(g) - 6*w(g). What is the second derivative of b(o) wrt o?
36*o
Let h(o) be the second derivative of 0*o**2 + 0 + 0*o**7 + 0*o**3 + 0*o**5 - 1/56*o**8 + 1/6*o**4 - o + 0*o**6. What is the third derivative of h(b) wrt b?
-120*b**3
Let x(v) be the first derivative of 9*v**4/4 - 19*v**3/3 - 18. Find the third derivative of x(c) wrt c.
54
What is the second derivative of 4*b + 2*b - 14*b**4 + 10*b**4 wrt b?
-48*b**2
Find the first derivative of -5*u**2 - 10 + u**3 - 7*u**3 + 5*u**2 wrt u.
-18*u**2
Let j(x) = x + 14. Let m be j(-12). What is the second derivative of -3*t + t**m - t**2 + 2*t**2 + t**2 wrt t?
6
Differentiate -10 + 7*i + 2 + 3 wrt i.
7
Let w(z) = -z**2 - z + 2. Let i be w(0). Suppose 5*f - 10 = 5*c, 3*c + f = -i*f + 18. Differentiate 1 + 2*l**c + 2 - 2 wrt l.
4*l
Let j(p) be the second derivative of -p**5/20 - p**4/6 + p**3/2 - 3*p - 3. What is the second derivative of j(h) wrt h?
-6*h - 4
Let i be (5 - 4) + (-4)/(-2). Let w(a) be the first derivative of -1/2*a**2 + 0*a**4 - 2 + 0*a**i - 1/5*a**5 + 0*a. What is the second derivative of w(y) wrt y?
-12*y**2
Let g be 2/((-1)/(-1) - 0). Suppose 2*n + 4 = 12. What is the third derivative of d**4 - d**n - g*d**2 + d**5 wrt d?
60*d**2
Let n(o) = 2*o - 3. Let l(q) = -4*q + 7. Let x(h) = 4*l(h) + 7*n(h). Differentiate x(j) with respect to j.
-2
Let o(s) be the first derivative of 0*s**4 + 0*s**2 - 5 - 4/5*s**5 + 4*s + 0*s**3. What is the derivative of o(l) wrt l?
-16*l**3
Let a(v) be the first derivative of -7*v**3/3 - 5*v - 20. What is the derivative of a(y) wrt y?
-14*y
Suppose 4*u = 2*w - 12, -3*w + 6 = -6*w - 2*u. Find the second derivative of -5*t**4 + w*t + t**4 - 10*t wrt t.
-48*t**2
Let m(l) be the third derivative of -1/6*l**4 + 0*l - 3*l**2 + 0 + 2/3*l**3. What is the derivative of m(f) wrt f?
-4
Let j(u) be the first derivative of -u**2 - 5*u - 6. What is the derivative of j(q) wrt q?
-2
Let p(t) be the first derivative of -3*t**3 + 9*t + 13. What is the derivative of p(x) wrt x?
-18*x
Let i(g) = -g**2 + 10*g + 2. Let z be i(8). Suppose 0 = -5*a + 2*t + z, 0 = a - 5*t - 8 - 14. Differentiate a*h - 1 - h**2 - 2*h + 3 with respect to h.
-2*h
Let x = -7 + 2. Let s(k) = -2*k - 5. Let v be s(x). Find the third derivative of -2*a**4 - 2*a**v + 2*a**4 + 2*a**2 wrt a.
-120*a**2
Let o(g) be the second derivative of -g**8/8 + 5*g**4/6 - 9*g. What is the third derivative of o(c) wrt c?
-840*c**3
Let k(h) = 13*h**3 + 49*h**2. Let s(j) = -7*j**3 - 24*j**2. Let n(p) = 2*k(p) + 5*s(p). Find the third derivative of n(i) wrt i.
-54
Find the third derivative of -196*g**2 - 13*g**6 + 233*g**2 + 33*g**6 wrt g.
2400*g**3
Suppose -5*m + 7 = -23. Let v be (1 + (-9)/m)*-6. Find the second derivative of 3*p**3 - v*p**3 + p**3 - p wrt p.
6*p
Let a be (4/(-5))/((-4)/20). Let r be (3/4)/(1/a). Find the second derivative of r*q**5 + 0*q**5 + q**3 - q**3 - 2*q wrt q.
60*q**3
What is the third derivative of p + p**2 + 2*p**5 - 12*p**5 - p wrt p?
-600*p**2
Let r(b) = 1 + 0*b - b + 0. Let d(q) = q - 3. Let u be d(6). Let x(a) = 2*a - 2. Let s(l) = u*r(l) + x(l). What is the derivative of s(f) wrt f?
-1
Let j(o) = 151*o**2 - 53*o - 9. Let y(s) = -226*s**2 + 79*s + 14. Let k(n) = 8*j(n) + 5*y(n). Find the second derivative of k(q) wrt q.
156
What is the second derivative of -13*b + 2*b**3 + 0*b**3 + 2*b wrt b?
12*b
Suppose -3*c = -2 - 10. Let a = -1 + 5. What is the second derivative of i - c*i**a - 4*i + 2*i wrt i?
-48*i**2
Let p(s) be the first derivative of -37*s**3/3 - 7*s**2 - s + 29. Find the second derivative of p(f) wrt f.
-74
Suppose 6*z - 3*z - 9 = 0. What is the third derivative of -c**3 - 14*c**2 + 0*c**z + 11*c**2 wrt c?
-6
Let u(s) be the first derivative of -s**5 + s**3 + 5. What is the third derivative of u(c) wrt c?
-120*c
Let o(u) = u**2 - 2*u - 13. Let p(f) = -4*f**2 + 7*f + 40. Let c(y) = 7*o(y) + 2*p(y). Find the first derivative of c(g) wrt g.
-2*g
Let d(i) be the first derivative of i**5/15 + 2*i**3/3 - 5*i**2/2 + 5. Let j(h) be the second derivative of d(h). What is the derivative of j(c) wrt c?
8*c
Let h(n) be the second derivative of n**6/72 + n**5/120 - n**3/2 - n. Let w(p) be the second derivative of h(p). Find the second derivative of w(l) wrt l.
10
Let l(c) be the third derivative of 5*c**8/336 + 5*c**4/24 - 3*c**2. What is the second derivative of l(n) wrt n?
100*n**3
Let v(u) = -2*u - 6. Let x be v(-5). Suppose 4*r - 5*w - 21 = 0, -3*r - 4*w = -0*w - 8. Find the third derivative of 5*g**r - 4*g**4 + 3*g**2 - x*g**4 wrt g.
-72*g
Let v(c) = 13*c**3 + 8*c**2 + 7*c + 8. Let r(l) = -l**3 - l**2 - l - 1. Let u(g) = -24*r(g) - 3*v(g). Find the second derivative of u(i) wrt i.
-90*i
What is the first derivative of -3*r**2 + 2*r**2 + 12 - 8 wrt r?
-2*r
Let p(g) be the first derivative of -g**6/2 + 17*g**2/2 + 10. Find the second derivative of p(u) wrt u.
-60*u**3
Let p(b) be the second derivative of b**8/1680 - b**6/120 - b**3/2 + 2*b. Let t(f) be the second derivative of p(f). What is the third derivative of t(y) wrt y?
24*y
Suppose -3*u - 16 = -4*i + 2*i, 0 = -i + u + 6. Differentiate -16*m**3 - 2*m**2 - 1 + 2*m**i + 11*m**3 with respect to m.
-15*m**2
Let d(w) = w**2 + 12*w + 4. Let j be d(-12). Let b(q) be the first derivative of 0*q**2 - 2/3*q**3 + 4*q + j. Find the first derivative of b(g) wrt g.
-4*g
Find the first derivative of -26*y**2 - 5 + 9*y**2 - 47*y**2 - 9 wrt y.
-128*y
Let k be (-1 - -2)*0 + 2. Differentiate 5 - 2*i**3 - i**k + i**2 - 2*i**3 with respect to i.
-12*i**2
Let j(h) be the third derivative of 5*h**9/168 + h**5/12 - h**2. What is the third derivative of j(n) wrt n?
1800*n**3
Let y = 0 + 2. Find the second derivative of -y*j + 4*j**3 + j**3 + 3*j - 11*j**3 wrt j.
-36*j
Let r(v) = 23*v**3 - 2*v**2 + 17. Let j(l) = -8*l**3 + l**2 - 6. Let x(t) = -17*j(t) - 6*r(t). What is the third derivative of x(z) wrt z?
-12
Find the third derivative of 3*b**2 + 4*b + 4*b**6 - 9*b**2 - 4*b wrt b.
480*b**3
Let h = 4 - 1. Let u be 2/h*(5 + 1). Differentiate 0*g + 3*g + 3 - u with respect to g.
3
Let a(j) = 11*j**3 - 8*j**2 + j. Suppose -2*m - 7 - 9