4 - o**4 + 7*o**2 + t. Find the second derivative of u(d) wrt d.
-48*d
Let v(p) = 2*p - 2*p + 3*p - 7 + 8*p**2 - 6*p. Let d(l) = -31*l**2 + 13*l + 28. Let j(r) = -6*d(r) - 26*v(r). Differentiate j(u) wrt u.
-44*u
Let d(z) = -8*z**5 - 14*z**2 + 99*z + 17. Let x(k) = -3*k**5 - 5*k**2 + 33*k + 6. Let i(c) = 6*d(c) - 17*x(c). What is the second derivative of i(o) wrt o?
60*o**3 + 2
Let p(w) be the first derivative of -1/6*w**6 - 36 + 0*w**5 - 2*w**2 + 0*w - 17/4*w**4 - w**3. Find the third derivative of p(o) wrt o.
-60*o**2 - 102
Suppose -2*k = 4*w + 2, w - 3*k + 6*k - 2 = 0. Let u be 1/((w + -3)/(-16)). What is the second derivative of -5*r**3 + 5*r + 7*r**3 + u*r**3 + 0*r wrt r?
36*r
Suppose -2*o - 25*o + 108 = 0. Let f(k) be the first derivative of 0*k**4 + 0*k**2 - o - 7/5*k**5 - 2*k + 0*k**3. What is the first derivative of f(n) wrt n?
-28*n**3
Find the second derivative of -146*m - 75*m - 152*m**5 + m**3 + 503*m**5 wrt m.
7020*m**3 + 6*m
Let n(r) be the second derivative of -4*r + 11/2*r**2 + 0 - 11/2*r**3. Differentiate n(x) with respect to x.
-33
Let l(x) be the second derivative of -13*x**7/42 + 3*x**5/5 + 157*x**4/6 - 239*x. Find the third derivative of l(d) wrt d.
-780*d**2 + 72
Let z(f) be the first derivative of f**6/360 + 23*f**5/60 - 14*f**3 + 32. Let g(k) be the third derivative of z(k). Find the second derivative of g(u) wrt u.
2
Let x = -1 - -6. Suppose -x*h = -0*h - 10. Find the second derivative of h*g + 0*g**2 + 0*g**2 - 11*g**4 + 9*g**4 wrt g.
-24*g**2
Find the second derivative of z - 53*z**3 + 8 - 2*z**3 - 15*z**3 - 19*z**3 wrt z.
-534*z
Let i(a) be the first derivative of 129*a**2/2 + 69*a + 240. Differentiate i(f) wrt f.
129
Let m(l) = -65*l**3 - l**2 - 31*l + 13. Let q(p) = -98*p**3 - 2*p**2 - 46*p + 20. Let f(g) = -8*m(g) + 5*q(g). What is the second derivative of f(y) wrt y?
180*y - 4
Let v = 5 - -1. Let j be (-3)/v*4 - -6. What is the first derivative of -8 - 1 + j + 8*g wrt g?
8
Let f = 0 - 4. Let p be (-15)/f - 2/(-8). Find the second derivative of 3*x**2 - 7*x**5 - p*x**2 + 8*x + x**2 wrt x.
-140*x**3
Let c(m) be the second derivative of m**5/6 - 11*m**4/24 + m**3/6 + 26*m. Let o(y) be the second derivative of c(y). What is the derivative of o(n) wrt n?
20
Let r(k) = -728*k**3 - 8*k**2 + 36*k. Let g(b) = -485*b**3 - 6*b**2 + 24*b. Let n(o) = 7*g(o) - 5*r(o). Find the third derivative of n(h) wrt h.
1470
Let h(p) be the first derivative of 23*p**4/4 + 143*p**3/3 + 76. What is the third derivative of h(w) wrt w?
138
Suppose 5*x - 10*x = 0. Suppose x = 2*k - k - 3. What is the third derivative of -2*y**2 + y**2 + k*y**3 + 2*y**2 + 5*y**2 wrt y?
18
Let c(t) = -35*t**2 + 5. Let i be 30/2*(-6)/(-15). Let a(g) = -18*g**2 + 3. Let x(p) = i*c(p) - 11*a(p). What is the first derivative of x(y) wrt y?
-24*y
Let v(m) = m**3 + 2*m**2 - m. Let o(b) = 24*b**3 - 6*b**2 + 3*b - 1. Let d(f) = o(f) + 3*v(f). What is the first derivative of d(u) wrt u?
81*u**2
Differentiate 571*l**3 - 571*l**3 + 452*l**4 - 97*l**4 - 323 wrt l.
1420*l**3
Let h(f) = 159*f**2 - 4*f + 4. Let l(j) = -3*j - 1. Let q(w) = -h(w) - 4*l(w). What is the second derivative of q(t) wrt t?
-318
Let x(s) = -s**4 - s**3 - s**2 + 2*s + 2. Let f(p) = 246*p**4 + p**3 + 432*p**2 - 2*p - 2. Let u(c) = -f(c) - x(c). Find the third derivative of u(w) wrt w.
-5880*w
Let s(c) be the second derivative of 2*c**7/21 + 3*c**5/4 + c**4/12 + 3*c**3/2 + 6*c. What is the third derivative of s(i) wrt i?
240*i**2 + 90
Let w(m) be the third derivative of 0 + 0*m**5 - 11*m**2 + 0*m - 7/24*m**4 + 11/120*m**6 + 0*m**3. What is the second derivative of w(z) wrt z?
66*z
Let w(m) be the third derivative of 0*m + 0*m**4 - 19/60*m**5 + 0 + 4*m**2 + 14/3*m**3. What is the derivative of w(f) wrt f?
-38*f
What is the derivative of 2*d**3 - 90 + 28 + 29 - 38*d**2 wrt d?
6*d**2 - 76*d
Suppose 0 = -747*n + 743*n. Let x(l) be the first derivative of 0*l**3 + n*l + 8 - l**2 - 4/5*l**5 + 0*l**4. Find the second derivative of x(q) wrt q.
-48*q**2
Let m(a) be the second derivative of 5/12*a**4 + 4*a - 5/2*a**3 + 0 + 0*a**2. Find the second derivative of m(x) wrt x.
10
Let k(r) be the first derivative of 2*r**3/3 + 8*r**2 - 30*r + 2. Differentiate k(i) with respect to i.
4*i + 16
Suppose 4*j + 0*j - 22 = -2*h, 3*j = -2*h + 20. What is the third derivative of 110*t**6 - t - h*t**2 + t - 104*t**6 wrt t?
720*t**3
Let v = 192 - 129. Suppose -3*o - 3*z + v = 0, 5*z + 10 - 30 = 0. What is the second derivative of -o*q + 23*q - 9*q**5 + 21*q**5 wrt q?
240*q**3
Let h be 4/(-14) + ((-680)/(-28) - 4). Find the third derivative of -13*x**2 + 23*x**6 - 7*x**6 + h*x**2 wrt x.
1920*x**3
What is the third derivative of 2*m**5 - 3*m**5 + m**4 + m**4 - 643*m**2 - 2*m**4 + 278*m**3 wrt m?
-60*m**2 + 1668
Suppose -4*y + 2*y + 4 = 0. Let m = 3 + y. Find the second derivative of -2*w**m + 4*w - w**5 + 6*w**5 wrt w.
60*w**3
Suppose -11*w = -6*w - 120. Suppose w = 5*h - h. Find the second derivative of -2 + 2 - h*a + 9*a + 3*a**4 wrt a.
36*a**2
Let c(i) be the first derivative of 0*i**5 + 28 + 0*i + 0*i**3 + 0*i**4 - 1/3*i**6 - 11/2*i**2. What is the second derivative of c(n) wrt n?
-40*n**3
Differentiate 185*b**3 - 70*b**3 - 45 - 76*b**3 wrt b.
117*b**2
Let d(w) be the third derivative of 0*w**5 + 0*w**4 + 0*w - w**2 - 1/40*w**6 + 0 - 17/3*w**3. What is the derivative of d(h) wrt h?
-9*h**2
Let z(h) = 1 + 18*h**2 - 16*h**2 - 2 + 13*h**2. Let a(q) = -45*q**2 + 3. Let n(u) = -6*a(u) - 17*z(u). What is the derivative of n(t) wrt t?
30*t
Let c = -24 - -27. Let p(a) be the second derivative of 0 + 6*a - 1/20*a**5 + 0*a**c + 0*a**4 - 3*a**2. What is the derivative of p(n) wrt n?
-3*n**2
Let t = -7 + 9. Let r = 1 + t. Find the third derivative of -r*l**5 + 0*l**5 + 5*l**5 - 8*l**2 wrt l.
120*l**2
Let g(r) = 3*r + 7. Let h be g(5). Let b be h/10 - (-5)/(-25). Differentiate 123*f**3 - 11 - 123*f**3 - b*f**4 wrt f.
-8*f**3
Let r(k) = -3*k**4 - 2*k**3 + 2*k**2 + 14*k. Let x(q) = q**3 - q**2. Let y = 22 - 23. Let a(l) = y*r(l) - 2*x(l). Find the second derivative of a(h) wrt h.
36*h**2
Let s(k) be the third derivative of k**2 - 11/60*k**5 + 0 + 7/60*k**6 + 0*k**3 + 0*k**4 + 0*k. Find the third derivative of s(g) wrt g.
84
Suppose -464 = -25*s + 17*s. Differentiate 13*l**3 + s + 27*l**3 - 16 wrt l.
120*l**2
Let n = 34 + -32. Find the third derivative of -2*c**n + 197*c**3 - 214*c**3 + c**2 wrt c.
-102
Let v(x) = -x**2 - 6*x - 2. Let z be v(-5). Let k(d) be the first derivative of 4*d**2 - z + 8*d - 7*d + 9*d. Differentiate k(j) wrt j.
8
Let j(x) = -x**3 + 8*x**2 - 5*x - 9. Let v be j(7). Find the second derivative of -6*z - 7*z**v - 7*z + 2*z wrt z.
-140*z**3
Find the second derivative of 1 + 4*s**2 - 4*s**2 + 0 - 207*s + 19132*s**3 - 19020*s**3 wrt s.
672*s
Suppose 1 - 31 = -5*y. Find the third derivative of -7*f**6 + 9*f**y + 17*f**2 + 12*f**6 wrt f.
1680*f**3
Let j(f) = 144*f**3 + 11*f**2 - 14*f + 2. Let l(v) = -144*v**3 - 10*v**2 + 12*v - 3. Let s(g) = 6*j(g) + 7*l(g). Find the third derivative of s(m) wrt m.
-864
Let f(i) = 8*i - 1. Let d(u) = -888*u - 123. Let w(k) = d(k) + 2*f(k). Find the first derivative of w(l) wrt l.
-872
Let t(x) be the third derivative of 0 + 0*x**4 + 12*x**2 + 13/60*x**5 + 13/6*x**3 + 0*x. Find the first derivative of t(q) wrt q.
26*q
Let w(x) be the second derivative of -521*x**6/30 + 7*x**3/3 - 562*x. Find the second derivative of w(r) wrt r.
-6252*r**2
Find the second derivative of 75*t**3 - 438*t - 136 + 3*t**4 - 75*t**3 + 436*t - 166*t**2 wrt t.
36*t**2 - 332
Let k(h) be the second derivative of 611*h**5/20 - 41*h**4/12 - 2*h**2 + 76*h - 1. Find the third derivative of k(a) wrt a.
3666
Let y(o) be the third derivative of 0*o - 1/42*o**8 + 0 + 0*o**7 - 1/24*o**4 - 4*o**2 + 0*o**5 + 0*o**6 + 0*o**3. What is the second derivative of y(r) wrt r?
-160*r**3
Let i be 14/4 + 5/(-10). Find the second derivative of 48*m - 19 + 9 + 8*m**i + 10 wrt m.
48*m
What is the second derivative of -23*j**5 + 11*j + 93*j - 2*j**3 + 39*j + 17*j wrt j?
-460*j**3 - 12*j
Let n(i) = -5*i**3 + i**2 + i + 2. Let b(y) = 26*y**3 - 4*y**2 - 4*y - 11. Let s(g) = -2*b(g) - 11*n(g). Find the third derivative of s(o) wrt o.
18
Let v(g) = 99*g - 21. Suppose -4*m - 187 = 13*m. Let q(i) = 49*i - 10. Let n(c) = m*q(c) + 6*v(c). Find the fir