e derivative of z(k) wrt k?
28*k**3
Let r(n) = n**3 - 5*n**2 + 1. Let c(j) = j**3 - 7*j**2 + 2. Let s(v) = -5*c(v) + 7*r(v). Find the first derivative of s(y) wrt y.
6*y**2
Differentiate 54*d**2 + 4*d + 42 - 4*d - 107 with respect to d.
108*d
Let s(a) = -a + 1. Let y(q) = 6*q - 4. Let n be 15/2*(-4 - -6). Let m(z) = n*s(z) + 3*y(z). What is the first derivative of m(b) wrt b?
3
Let a(i) be the second derivative of -6*i + 0*i**2 + 0*i**4 + 0 - 1/10*i**5 - 2/3*i**3. What is the second derivative of a(p) wrt p?
-12*p
Let v(h) be the third derivative of h**6/180 - h**5/120 - h**3/3 + h**2. Let d(s) be the first derivative of v(s). Find the second derivative of d(x) wrt x.
4
Let n(j) = 6*j**2 + j - 6. Let r(v) = -v**3 - 13*v**2 - 2*v + 13. Let z(y) = 13*n(y) + 6*r(y). Find the second derivative of z(h) wrt h.
-36*h
What is the third derivative of -16*r**6 + 2*r**2 - r**6 + 23*r**2 - 4*r**2 wrt r?
-2040*r**3
Let x(o) be the first derivative of -2*o**7/21 + o**3/2 - o - 1. Let u(a) be the first derivative of x(a). Find the second derivative of u(h) wrt h.
-80*h**3
Find the second derivative of 15*y - 7*y + 13*y**5 + 8*y wrt y.
260*y**3
Suppose 4*v - 22 = -2*d, -v - 5*d = -5*v + 15. Find the second derivative of -103 + 103 + 4*t**5 - 3*t**v + 9*t wrt t.
20*t**3
What is the second derivative of 93*q + 33*q**4 - 30*q - 32*q - 3 - 33*q wrt q?
396*q**2
Let i(j) = -5*j**3 + 3*j + 24. Let o(f) = 16*f**3 - 8*f - 73. Let n(v) = -8*i(v) - 3*o(v). Differentiate n(k) with respect to k.
-24*k**2
What is the second derivative of -7 - 2*t**5 + 5 - t**5 + 9*t + 2*t**4 + 1 wrt t?
-60*t**3 + 24*t**2
Let a(g) = -8*g**2 + 6*g + 1. Let r(l) = 17*l**2 - 13*l - 2. Let f(j) = 13*a(j) + 6*r(j). What is the first derivative of f(o) wrt o?
-4*o
Let l(r) = r**3 - r - 2. Let q be l(0). Let d be (-1 - -2)*(-6)/q. What is the second derivative of -11*c**2 + c + d*c + 7*c**2 wrt c?
-8
Let k(a) be the first derivative of 0*a - 1 - a**2 + 0*a**3 - 1/2*a**4. Find the second derivative of k(b) wrt b.
-12*b
What is the first derivative of 0 + 2 + 1 + 3*u**3 + 7*u**3 wrt u?
30*u**2
Let s(a) = a**4 - a**3 + a**2 + a. Let r(g) = 3*g**6 - g**4 + g**3 + 36*g**2 - g. Let b(y) = r(y) + s(y). What is the third derivative of b(z) wrt z?
360*z**3
Let p(g) = 51*g - 41. Let z(o) = 103*o - 84. Let t(w) = -13*p(w) + 6*z(w). Differentiate t(s) wrt s.
-45
Let z(m) be the second derivative of 25*m**4/12 + 29*m**3/3 - 41*m. What is the second derivative of z(l) wrt l?
50
Let o(i) be the first derivative of 0*i**2 - 5 + 8/3*i**3 + 7*i. Differentiate o(g) with respect to g.
16*g
What is the second derivative of 7 - 5*i**3 - 9*i - i**4 + 0 - 7 wrt i?
-12*i**2 - 30*i
Let b(m) = -2*m - 14. Suppose -3 = -0*y - y. Let p(x) = -x - 5. Let a = -17 + 9. Let v(n) = a*p(n) + y*b(n). What is the derivative of v(f) wrt f?
2
What is the third derivative of -12*k**2 - 5*k**6 + 5*k**6 + 9*k**6 wrt k?
1080*k**3
What is the second derivative of p + 7*p**3 - 4*p - 3*p**3 wrt p?
24*p
Let z(d) be the first derivative of -21*d**4/4 - 23*d - 20. What is the first derivative of z(i) wrt i?
-63*i**2
Let v(b) be the first derivative of b**6/120 - b**3/6 + 5*b**2/2 - 5. Let y(t) be the second derivative of v(t). Differentiate y(h) wrt h.
3*h**2
Let n(z) be the second derivative of -z**6/3 - 3*z**2/2 + 10*z. Differentiate n(t) with respect to t.
-40*t**3
Let y = 15 - 7. What is the third derivative of 2*t**2 + y*t**5 - 3*t**5 - 4*t**2 wrt t?
300*t**2
Let w(f) = 2*f - 4. Let i be w(3). Suppose -4*v + 15 + 9 = 0. Find the third derivative of -s**5 - v*s**2 + i*s**2 + 2*s**2 wrt s.
-60*s**2
Let v(y) be the first derivative of -8*y**3/3 - y - 3. Find the first derivative of v(g) wrt g.
-16*g
Let c(f) = -6*f - 7. Let b(o) = -19*o - 20. Let t(h) = 2*b(h) - 7*c(h). Find the first derivative of t(l) wrt l.
4
Let x(u) be the second derivative of 0 + 0*u**2 + 0*u**5 + 0*u**4 + 1/42*u**7 + 0*u**6 + u - 1/6*u**3. Find the second derivative of x(k) wrt k.
20*k**3
Let h(v) = -22*v**4 + 11*v**3 - 33*v + 11. Let s(g) = 11*g**4 - 6*g**3 + 17*g - 6. Let x(m) = 6*h(m) + 11*s(m). Find the second derivative of x(o) wrt o.
-132*o**2
Let k(l) = l**3 + 5*l**2 + 1. Let w be k(-5). Let b be (-3 + w)/(-5 - -4). Differentiate -4 - 1 + b - 3*g**4 with respect to g.
-12*g**3
Let d(j) be the third derivative of j**5/15 - 7*j**4/12 + 14*j**2. What is the second derivative of d(c) wrt c?
8
Suppose -2 + 18 = 2*w - 2*l, -4*l - 27 = -3*w. Find the second derivative of 5*r**2 - w*r**2 - 7*r - 6*r**4 - r wrt r.
-72*r**2
Suppose 2*n + 0 - 2 = 0. Differentiate -3 + 3 - n + c**3 wrt c.
3*c**2
What is the second derivative of 8*b**3 + 9*b**3 - 10*b**3 - 45*b + b**2 wrt b?
42*b + 2
What is the third derivative of 3*g**6 + 9*g**6 + 5*g**2 + 3*g**2 + 0*g**6 wrt g?
1440*g**3
Let x(u) be the third derivative of -u**6/40 + 43*u**5/60 + 28*u**2. What is the third derivative of x(g) wrt g?
-18
Let y(b) be the second derivative of b**6/180 - b**5/120 + b**3/6 - 2*b. Let j(f) be the second derivative of y(f). What is the second derivative of j(z) wrt z?
4
Let g = 0 + 4. Suppose 6 = 2*o + o. Find the third derivative of 3*i**g - i**2 + 0*i**4 - o*i**4 wrt i.
24*i
Let w = 5 + -2. Suppose u - 1 = -x - w, -2*u = 8. What is the third derivative of 0*y**2 + 5*y**2 - y**4 - 4*y**2 + 0*y**x wrt y?
-24*y
Let u(k) be the first derivative of k**8/420 + k**5/120 + 4*k**3/3 - 1. Let y(f) be the third derivative of u(f). Find the second derivative of y(b) wrt b.
48*b**2
Let y(f) = 4*f**4 - 2*f**3 - 2*f - 3. Let w(b) = 18*b - 15*b - 2*b**3 + 2 + 5*b**3 - 4*b**4. Let u(l) = -2*w(l) - 3*y(l). Differentiate u(k) with respect to k.
-16*k**3
Let i(a) be the first derivative of -2*a**4 - 17*a**3/3 - 14. What is the third derivative of i(y) wrt y?
-48
Find the first derivative of -53*s**3 - 1 - 30 + 16*s**3 wrt s.
-111*s**2
Let b(t) = t**3 + t**2 - t + 1. Let n(o) = o**3 + 4*o**2 - 4*o + 12. Let s(l) = -4*b(l) + n(l). Find the first derivative of s(q) wrt q.
-9*q**2
Let s(l) = -l**2 - 5*l - 1. Let m be s(-3). Find the second derivative of -5*n - 3*n + 5*n**m - 4*n**5 wrt n.
20*n**3
Find the third derivative of 2*s**2 + 8*s**2 - 4*s**5 - 2*s**2 wrt s.
-240*s**2
Suppose 0 = 5*s - 31 + 1. Differentiate s + l + 0 - 2 wrt l.
1
Let a(w) be the first derivative of w**7/42 + 5*w**4/12 - 5*w - 7. Let s(x) be the first derivative of a(x). What is the third derivative of s(h) wrt h?
60*h**2
Let r(o) = 4*o - o - 4*o - 1. Let y be r(-4). Find the second derivative of -2*w - y + 3*w**2 + 0*w**2 + 3 wrt w.
6
Find the second derivative of 8*r**3 + 29*r - 16*r - 25*r**3 + 31*r wrt r.
-102*r
Let a(s) be the third derivative of 0 - 1/24*s**4 + 2/3*s**3 + 5*s**2 + 0*s. What is the first derivative of a(r) wrt r?
-1
Let k = -2 + 5. Find the third derivative of 14 + 3 + 4*g**2 - 3*g**k - 17 wrt g.
-18
Let x(p) be the third derivative of -p**6/40 - p**4/3 - 4*p**2. Find the second derivative of x(s) wrt s.
-18*s
Let f = 7 - 5. Let c be 16/6 - f/3. What is the first derivative of -3*s + 3*s + c*s**4 + 1 wrt s?
8*s**3
Let j(y) be the second derivative of -y**6/5 + y**2 - 11*y. Differentiate j(s) with respect to s.
-24*s**3
Let v(w) = w**2 - 4*w + 6. Let d be v(4). What is the third derivative of -2*n**d + 3*n**2 - 4*n**2 + 0*n**6 - 2*n**6 wrt n?
-480*n**3
Let z(j) = 13*j**3 - 14*j**2 - 11*j. Let d(p) = 7*p**3 - 7*p**2 - 6*p. Let c(b) = -11*d(b) + 6*z(b). Find the third derivative of c(a) wrt a.
6
Let y(l) be the first derivative of -l**6/120 + l**4/24 - l**3/3 - 2. Let t(a) be the third derivative of y(a). What is the first derivative of t(w) wrt w?
-6*w
Let z = 11 + -5. Let x be (4/z)/(4/6). Differentiate -x - 2 - t**4 + 0 wrt t.
-4*t**3
Let q(d) be the second derivative of -d**8/560 - 5*d**4/12 + d**3/6 - 6*d. Let p(t) be the second derivative of q(t). Differentiate p(s) with respect to s.
-12*s**3
Let u = -8 - -2. Let d = 8 + u. What is the second derivative of 4*a**d + 3*a - a - 3*a**2 wrt a?
2
What is the derivative of -2024 + 2030 - 2*i**2 + 3*i**2 - 4*i wrt i?
2*i - 4
Let b(u) be the first derivative of 0*u - 2 + 5/4*u**4 + 0*u**2 + 5/3*u**3. What is the third derivative of b(l) wrt l?
30
Let n(p) be the second derivative of 6*p + 1/2*p**2 + 0 + 1/6*p**4 + 0*p**3. What is the first derivative of n(l) wrt l?
4*l
Differe