 - 2. Let o(d) = 14*t(d) + 4*z(d). Find the second derivative of o(i) wrt i.
-48*i**2
Suppose -17 = h - 4*l, 0 = h + h + 4*l - 26. Suppose h = r - 0*r. What is the second derivative of 4*i + 2*i**2 - r*i - 2*i wrt i?
4
Let d(j) be the first derivative of -2/3*j**3 + 0*j**5 + 0*j**6 + 0*j**4 - 2/7*j**7 + 1 + 0*j**2 + 0*j. Find the third derivative of d(b) wrt b.
-240*b**3
Let o(s) be the third derivative of -s**4/12 + s**3 - 4*s**2. What is the derivative of o(h) wrt h?
-2
Let o(r) be the second derivative of -13*r**4/12 + 5*r**3/3 - 14*r. What is the second derivative of o(p) wrt p?
-26
Differentiate 14 - 8*f**3 + 3*f**3 - 22 with respect to f.
-15*f**2
Differentiate 0 - d**3 + d**3 + d**3 + 4 wrt d.
3*d**2
Suppose 2 = x - 2. Let d be (-3)/6 - 9/(-6). Differentiate -d - h + 0*h + x wrt h.
-1
Find the second derivative of 21*d**5 + 6*d - 5*d**5 + 26*d + d wrt d.
320*d**3
Find the third derivative of -7*y**6 - 9*y**2 + 13*y**2 + 3*y**6 wrt y.
-480*y**3
Let q be (-4)/(-18) - 34/(-9). Find the first derivative of -4*i**3 + 4 - q - 1 wrt i.
-12*i**2
Suppose -4*c + 4 + 4 = 0. Suppose 4 = 3*x - c. What is the third derivative of -u**2 - 2*u**x + 2*u**4 + 2*u**4 wrt u?
96*u
What is the third derivative of -4*z**2 - 28*z**5 + 2*z**2 - 5*z**2 wrt z?
-1680*z**2
Let r(n) be the second derivative of -n**5/20 + 11*n**4/12 - 15*n. What is the third derivative of r(d) wrt d?
-6
Let t(o) = -11*o**2 - 4*o + 10. Let b(r) = -10*r**2 - 3*r + 9. Let i(s) = -4*b(s) + 3*t(s). Find the first derivative of i(z) wrt z.
14*z
Let n = 25 - 17. Find the third derivative of n*z**5 + 0*z**5 - 2*z**2 - 4*z**2 + z**5 wrt z.
540*z**2
What is the derivative of 15 + 14*f**4 - f + f**4 + f wrt f?
60*f**3
Let c be (1 - 4)/(-3)*3. Let b(p) be the second derivative of 0*p**3 - p**2 - c*p + 1/6*p**4 + 0. Differentiate b(i) wrt i.
4*i
Let j(f) = -f**3 - f**2 - f. Let h be 2 + -6 - (-3 + 2). Let s(o) = o**3 + 6*o**2 + 3*o. Let q(g) = h*j(g) - s(g). What is the third derivative of q(z) wrt z?
12
What is the second derivative of 8*v**5 - 28*v**5 - 3*v + 10*v wrt v?
-400*v**3
Let k(z) = -19*z**3 - 6*z**2 - 55*z + 5. Let s(a) = 18*a**3 + 5*a**2 + 54*a - 4. Let n(j) = -4*k(j) - 5*s(j). Find the second derivative of n(m) wrt m.
-84*m - 2
Find the second derivative of 10*w**3 - 13*w + 6*w**3 - 4*w**3 wrt w.
72*w
Find the first derivative of 3*p - p - 1 - 6 - p wrt p.
1
Suppose -5 = 2*o + 3*d, 2*o + 4*d = 2*d. Let g = 15 - 10. What is the second derivative of -v**g + 3*v - 2*v + 0*v**o wrt v?
-20*v**3
Suppose n = 3 - 1. Let j(v) be the first derivative of 0*v**3 + 2 - 3/4*v**4 + 0*v - 1/2*v**n. Find the second derivative of j(l) wrt l.
-18*l
Let m(l) = -l**3 - 7*l**2 - 2*l - 8. Let s be m(-7). Let w = -2 + s. What is the first derivative of 2*b**w + 2*b + 1 - 2*b wrt b?
8*b**3
Find the second derivative of 9*p**3 - 17*p**3 + 10*p**3 + 17*p**3 - 10*p wrt p.
114*p
Let i(c) = 4 + 0*c**3 - 2*c - 3 + 2*c**3 + 2*c**3. Let g be i(1). What is the derivative of -4*l + 2 + 1 + g*l wrt l?
-1
Let a(f) = -4*f**2 + 2*f + 67. Let z(m) = -15*m**2 + 10*m + 267. Let t(h) = -9*a(h) + 2*z(h). Differentiate t(o) with respect to o.
12*o + 2
Differentiate -4038*c**2 - 22 + 17*c**3 + 4038*c**2 wrt c.
51*c**2
Let v(j) = -4*j**4 + 3*j**3 + 3*j**2 + 3*j - 3. Let k(b) = -b**4 - b**3 - b**2 - b - 1. Let w(o) = 3*k(o) + v(o). Find the first derivative of w(z) wrt z.
-28*z**3
Suppose 0*d = -3*d + 18. Find the second derivative of 2*k + 3*k**2 - d*k**2 + k**2 wrt k.
-4
Let o(q) = -2*q**4 - 4*q**3 - 5*q - 36. Let v(r) = -r**4 - r**3 - r + 1. Let w(y) = o(y) - 5*v(y). Differentiate w(h) with respect to h.
12*h**3 + 3*h**2
Let p(h) be the second derivative of h**9/3024 - h**5/30 + h**3/6 - 4*h. Let y(r) be the second derivative of p(r). Find the second derivative of y(v) wrt v.
20*v**3
Let k(d) be the second derivative of -17*d**4/12 - 7*d**3/3 - 27*d. Find the second derivative of k(p) wrt p.
-34
Let n = -124 + 124. Let o(i) be the first derivative of 2/3*i**3 + 0*i**2 + 0*i**4 + 0*i**5 + 2/3*i**6 + n*i + 2. What is the third derivative of o(u) wrt u?
240*u**2
Suppose -2*v = s - 1, 2*v - 3*s + 6*s = 11. Let r = v - -5. Differentiate 4*l**r - 2*l**3 - 2 - 3*l**3 wrt l.
-3*l**2
Let i(c) = -89*c - 70. Let w(s) = -45*s - 35. Let h(y) = -3*i(y) + 5*w(y). Find the first derivative of h(k) wrt k.
42
Let p be (3 + 22/(-10))/(4/10). Let k(z) be the first derivative of -1/3*z**3 + p - 2*z + 0*z**2. What is the first derivative of k(c) wrt c?
-2*c
Let l be ((-8)/10)/(2/(-5)). What is the third derivative of 4*k**l + 2*k**4 - 2*k**2 - 3*k**4 wrt k?
-24*k
Suppose 15 = -2*v + 3*l, 8 = -2*v - 3*l + 23. What is the second derivative of -4*a**2 + v*a + 2*a**2 - 3*a wrt a?
-4
Suppose -u - 2*u = -9. Let c(g) be the first derivative of -2*g**3 + 3*g**u + 3 + g**2 + 0. Find the second derivative of c(o) wrt o.
6
Let s be (-22)/(-6) - 14/21. Let f = -1 + s. What is the second derivative of -f*o**4 - o + 3*o - 3*o wrt o?
-24*o**2
Let y be (-2)/(2 - (-14)/(-6)). Find the third derivative of s**6 + s**y + 2*s**2 - 4*s**2 wrt s.
240*s**3
Let d = -4 + 6. Let t(q) = -1 - q + q**d + q. Let h(b) = b**3 - 3*b**2 - b + 3. Let k(i) = -h(i) - 3*t(i). What is the second derivative of k(n) wrt n?
-6*n
Differentiate 0*d**4 + 2*d**4 - 4*d**4 - 6*d**4 + 4 wrt d.
-32*d**3
Let n(c) be the second derivative of 13*c**5/20 - 4*c**3 + 21*c. What is the second derivative of n(r) wrt r?
78*r
Let q(h) be the first derivative of -3/2*h**2 + 0*h + 4/3*h**3 + 2. Find the second derivative of q(w) wrt w.
8
Let m(z) be the third derivative of -5*z**8/112 - 2*z**5/5 + 30*z**2. What is the third derivative of m(l) wrt l?
-900*l**2
Suppose 3*v = 4*v. Find the second derivative of -2*s**4 + v*s**4 - 2*s + 0*s**4 + s wrt s.
-24*s**2
What is the second derivative of z**2 - 7*z**2 + 5*z + 8*z**4 + 6*z**2 wrt z?
96*z**2
Let k(h) be the second derivative of h**4 - 8*h**2 - 13*h. What is the derivative of k(o) wrt o?
24*o
Find the third derivative of -40*a**5 + 164*a**2 - 329*a**2 + 168*a**2 wrt a.
-2400*a**2
What is the derivative of 19*u**4 - 19*u**2 - 19*u**2 + 38*u**2 + 23 wrt u?
76*u**3
Let r(u) be the first derivative of 4*u**4 + 9*u**2/2 + 15. Find the second derivative of r(p) wrt p.
96*p
Let d(b) = -20*b**3 + 13*b**2 - 6*b + 6. Let t(j) = 40*j**3 - 25*j**2 + 11*j - 11. Let y(r) = -11*d(r) - 6*t(r). What is the third derivative of y(x) wrt x?
-120
Suppose -s + 6*s = -15. Let m be -6*(s + 14/6). Find the second derivative of 3*o + 0*o - o**3 - m*o - o wrt o.
-6*o
Let u(m) be the first derivative of -m**4/4 + 10*m + 6. Differentiate u(i) wrt i.
-3*i**2
What is the third derivative of -4*p**3 - 3*p**4 + 4*p**3 + 5*p**2 - 6*p**4 wrt p?
-216*p
What is the second derivative of -12*k**3 - 9*k**3 - 17*k**3 + 40*k**3 + 8*k wrt k?
12*k
Suppose 4*k = 5*o + 31, -3*k + 4*k = -2*o - 15. Let d be (-1)/(-4) - o/4. What is the third derivative of 0*y**2 - 3*y**d - 2*y**4 + 3*y**4 wrt y?
24*y
Let c(z) = -4*z**3 - z**2 - z. Let s be c(-1). What is the third derivative of -2*u**4 + 3*u**6 - 2*u**4 - 5*u**2 + 4*u**s wrt u?
360*u**3
Let h(d) be the third derivative of 0*d**4 + 0*d + 1/30*d**5 + 8*d**2 + 0 + 1/2*d**3. Find the first derivative of h(r) wrt r.
4*r
Let t(b) be the third derivative of -19*b**5/60 - 5*b**3 + 42*b**2. What is the derivative of t(y) wrt y?
-38*y
Find the third derivative of 110*r**2 + 17*r**5 - 7*r**5 - 115*r**2 wrt r.
600*r**2
Let g(w) = -w + 9. Let u be g(9). Let s(p) be the second derivative of -p**2 + 1/12*p**4 + u + 0*p**3 + 2*p. What is the derivative of s(q) wrt q?
2*q
Suppose 4*a + 1 + 3 = 0. Let f be 2/((a + 2)/1). What is the second derivative of 3*i**2 + 0*i**f + 2*i**2 - i**2 - 4*i wrt i?
8
Find the second derivative of -150*m**3 + 11*m - 150*m**3 + 284*m**3 wrt m.
-96*m
Let c(i) = 3*i**2 - 3*i - 4. Let n = 0 + 3. Let k(h) = 6*h**2 - 5*h - 7. Let v(m) = n*k(m) - 5*c(m). Differentiate v(t) with respect to t.
6*t
Let c(n) be the first derivative of -1/5*n**5 + 0*n**2 + 0*n**4 - 1/3*n**3 + 0*n - 1. Find the third derivative of c(j) wrt j.
-24*j
Let l(c) be the first derivative of 0*c**6 + 0*c**4 + 0*c**5 + 7 + 9/7*c**7 + 0*c**2 + 0*c + 1/3*c**3. What is the third derivative of l(r) wrt r?
1080*r**3
Find the third derivative of -2*g**3 + 7*g**2 + 11*g**2 - 9*g**2 - 