*t**2 - 9*t. Let s(h) = 4*n(h) - 15*o(h). Find the second derivative of s(p) wrt p.
-24
Let k be (6 - 4) + 1 + -1. Find the second derivative of v - k*v**3 - v - v - 5*v wrt v.
-12*v
What is the derivative of 12*g**4 + 1 + 13*g**4 - 5 + 10 wrt g?
100*g**3
Let x(s) be the first derivative of 8*s**5/5 - 17*s**2/2 - 2. Find the second derivative of x(r) wrt r.
96*r**2
Let u(b) = -7*b**3 - 2*b - 4. Let d(i) = 7*i**3 + i + 3. Let r(p) = 4*d(p) + 3*u(p). Find the second derivative of r(l) wrt l.
42*l
What is the third derivative of -4*f**3 - 2*f**4 + 9*f**3 - 5*f**3 + 3*f**2 wrt f?
-48*f
Let g(p) be the third derivative of -11*p**5/60 + 7*p**4/6 - 31*p**2. What is the second derivative of g(i) wrt i?
-22
Let n(b) = b**4 + 1. Let m(f) = 15*f**4 - 22*f - 3. Let x(h) = m(h) + 3*n(h). What is the second derivative of x(r) wrt r?
216*r**2
Let n(b) be the first derivative of 7*b**2/2 - 2*b + 2. Let c(p) = 6*p - 1. Let y(w) = 5*c(w) - 4*n(w). What is the first derivative of y(t) wrt t?
2
Let c be 38/14 + (-6)/(-21). Suppose -4*j + u + 16 = 5*u, -c*u + 6 = j. What is the second derivative of 6*y**3 + 2*y - j*y - 4*y**3 wrt y?
12*y
Let h(z) be the first derivative of 0*z**2 + 1/6*z**6 + z**3 + 0*z**5 + 0*z**4 + 2 + 0*z. Find the third derivative of h(g) wrt g.
60*g**2
What is the first derivative of -4*u**2 + 3 + 9*u**2 - 1 wrt u?
10*u
Let t(q) = 12*q**5 - 4*q**4 - q**2 - 4*q - 4. Let f(p) = -11*p**5 + 3*p**4 + 3*p + 3. Let h(o) = 4*f(o) + 3*t(o). Find the third derivative of h(a) wrt a.
-480*a**2
Let h(s) be the third derivative of 0 - s**2 + 0*s**3 + 0*s**5 + 1/35*s**7 + 1/4*s**4 + 0*s + 0*s**6. What is the second derivative of h(p) wrt p?
72*p**2
Let k be 4/(-10) - (-88)/20. What is the derivative of 4*x**3 - 14 - 2*x**3 - k*x**3 + 6 wrt x?
-6*x**2
Let g(h) be the second derivative of -h**5/15 - h**4/12 - 3*h**2/2 + 3*h. Let p(y) be the first derivative of g(y). What is the second derivative of p(c) wrt c?
-8
Find the second derivative of 43*q - 45*q - 6*q**5 + 3*q**4 - 3*q**4 wrt q.
-120*q**3
Let n(w) be the first derivative of w**4 + 3*w**3 - 10. What is the third derivative of n(s) wrt s?
24
Let k(h) = -4*h**2 - 10*h + 5. Let t(r) = 4*r**2 + 11*r - 6. Let l(o) = -6*k(o) - 5*t(o). Find the second derivative of l(s) wrt s.
8
Let z(y) = -90*y**2 + 24*y + 3. Let w(s) = 45*s**2 - 12*s - 1. Let v(p) = -5*w(p) - 2*z(p). Find the second derivative of v(f) wrt f.
-90
Let c(k) be the first derivative of k**8/336 - 5*k**4/24 - 7*k**3/3 + 4. Let h(v) be the third derivative of c(v). What is the first derivative of h(z) wrt z?
20*z**3
Suppose 0 = -8*p + 4*p. Find the third derivative of 5*z**2 + p*z**3 + 0*z**3 + z**4 + 0*z**3 wrt z.
24*z
Differentiate 2*x**4 - 4 + 75*x - 153*x + 71*x wrt x.
8*x**3 - 7
Find the second derivative of 6*n**4 - 5*n**5 - 2*n**4 - 12*n - 4*n**4 wrt n.
-100*n**3
Let k(u) = u**6 - u**3 + u**2 + u + 1. Let a(v) = 50*v**6 + 5*v**3 + 5*v**2 - 7*v - 5. Let n(x) = a(x) + 5*k(x). What is the third derivative of n(r) wrt r?
6600*r**3
Suppose -3*f = 2*g + 32, 3*g - f - 11 = -37. Let b be (-20)/8*16/g. Find the third derivative of -b*d**4 - 2*d**2 - 2*d**2 + 5*d**2 wrt d.
-96*d
What is the derivative of -4*l**2 - 4 - l**2 - 4*l**2 - 1 wrt l?
-18*l
Let p(q) be the third derivative of 0 - 1/24*q**4 + 0*q - 1/3*q**3 + 3*q**2. Differentiate p(y) wrt y.
-1
What is the second derivative of 139*s - 37*s**3 + 13*s**3 - 129*s wrt s?
-144*s
Let f be 6/(-27) - (-20)/9. What is the derivative of 4 - f + 1 - 2*o**2 - 1 wrt o?
-4*o
Let m(b) be the second derivative of -2*b + 0*b**3 + 0 + 1/2*b**2 + 1/12*b**4. Differentiate m(p) with respect to p.
2*p
Differentiate w + w - 4 + 7*w + 19 with respect to w.
9
Let n = 24 + -18. Let l(r) be the first derivative of -3 + 0*r**5 + 0*r**4 - 3/7*r**7 + 0*r + r**3 + 0*r**n + 0*r**2. Find the third derivative of l(c) wrt c.
-360*c**3
Let d(h) be the first derivative of h**2 + 7*h - 6. What is the derivative of d(s) wrt s?
2
Let f(o) be the first derivative of 3*o**6/10 + 4*o**3/3 - 11*o + 9. Let b(t) be the first derivative of f(t). Find the second derivative of b(g) wrt g.
108*g**2
Find the second derivative of -6*k**5 - 11*k - 3*k - 8*k**5 wrt k.
-280*k**3
Let u be (6 + -2)*(-12)/(-16). Find the third derivative of -v**6 + 6*v**6 - 3*v**6 - 3*v**2 - u*v**6 wrt v.
-120*v**3
Let a(y) be the third derivative of -7*y**4/8 + 8*y**3/3 + 21*y**2. What is the first derivative of a(u) wrt u?
-21
Differentiate -6 + 1 - 4*b**3 - 2 - 4 wrt b.
-12*b**2
Let r(n) be the third derivative of -n**8/6720 + n**6/360 - n**5/15 - 3*n**2. Let j(a) be the third derivative of r(a). What is the derivative of j(c) wrt c?
-6*c
What is the derivative of -22*z + 8 - 11*z + 28 + 6 wrt z?
-33
Differentiate -14*l**4 + 1 + 0 + 9*l**4 with respect to l.
-20*l**3
Let r(u) be the second derivative of -1/4*u**4 - 3*u + 1/6*u**3 + 0*u**2 + 0. Find the second derivative of r(f) wrt f.
-6
Let o(c) = -6*c + 4. Let d(t) = -3 + 4*t + 0 + t. Let r(b) = 5*d(b) + 4*o(b). What is the derivative of r(w) wrt w?
1
Let l(i) = i**2 - 2. Let z be l(2). Find the third derivative of 9*w**5 + 4*w**5 - 16*w**5 - w**z wrt w.
-180*w**2
Let f = 1/100 + 197/300. Let w(p) be the first derivative of 2 - f*p**3 - 2*p + 0*p**2. Differentiate w(z) wrt z.
-4*z
Let d(s) be the first derivative of s**3/3 + 2*s**2 - s + 1. Let h(x) = x**2 + 3*x - 1. Let j(f) = -3*d(f) + 4*h(f). What is the derivative of j(p) wrt p?
2*p
Suppose 6*g - 2*g - 12 = 0. What is the first derivative of -m**3 - 1 - 2*m**g + 4*m**3 wrt m?
3*m**2
Let u be (-3)/(-6)*-6 + 7. What is the third derivative of 5*a**2 + a**4 - 3*a**2 - u*a**4 wrt a?
-72*a
Find the second derivative of 11*w**5 + 156*w**2 + 5*w - 156*w**2 + 0*w wrt w.
220*w**3
Let c(z) = -z**3 - 6*z**2 - 6*z - 7. Let x be c(-5). Let h be x/8 - (-17)/4. What is the second derivative of q + 4*q**5 - h*q**5 + q**5 + q**5 wrt q?
40*q**3
Let u(h) be the second derivative of 2/15*h**6 + 0*h**3 + 0*h**2 - 7*h + 0 + 0*h**5 - 3/4*h**4. Find the third derivative of u(m) wrt m.
96*m
Find the second derivative of 6*n**5 + 4 - 3*n - 4 - 4*n**5 wrt n.
40*n**3
Differentiate 83 + 52*y - 190 + 51 wrt y.
52
Let l(c) be the first derivative of -c**4/4 - 7*c - 54. Differentiate l(d) with respect to d.
-3*d**2
Suppose -2*u - 3*h = -22, 0 = 5*u - h - 6 - 15. Find the second derivative of -u*b**2 - 3*b + 3*b**2 + 0*b wrt b.
-4
Let v(q) = -q**2 + 7*q - 6. Let m be v(6). Suppose m*b = -4*b + 16. Differentiate -1 - 3*h**4 - 1 + h**b with respect to h.
-8*h**3
Let r(h) = 26*h**5 - 2*h**4 + 2*h**3 + 13*h. Let q(j) = -j**4 + j**3 - j. Let o(b) = -2*q(b) + r(b). Find the second derivative of o(x) wrt x.
520*x**3
Let m(n) be the third derivative of 0*n + 0*n**4 - 2*n**2 - 1/3*n**3 + 1/70*n**7 + 0 + 0*n**6 + 0*n**5. What is the first derivative of m(d) wrt d?
12*d**3
Let i be (2/3)/(13/39). What is the third derivative of 13*q - 13*q + 5*q**2 - 3*q**6 - q**i wrt q?
-360*q**3
What is the third derivative of -f**2 + 2*f**5 + 3*f**5 - 5*f**2 - 3*f**5 wrt f?
120*f**2
What is the third derivative of 2*x**5 + x**6 - 3*x**6 + 3*x + 21*x**2 - 5*x**5 - x wrt x?
-240*x**3 - 180*x**2
Let b(o) be the first derivative of 17*o**4/4 - 62*o**3/3 - 46. Find the third derivative of b(z) wrt z.
102
Let y be (-9)/6*(-4)/6. Let u(n) = 5 + 5*n**2 - 4*n - 4 + 2*n**2 + 2. Let r(i) = i**2 - i. Let m(x) = y*u(x) - 4*r(x). Find the first derivative of m(f) wrt f.
6*f
Find the second derivative of 4*g**2 - 8*g**2 - 3*g**2 + 7*g + 2*g**2 wrt g.
-10
Let b(p) = -p**3 + 2*p**2 + 2. Let v be b(2). Find the second derivative of 2*g**v + g - 3*g + 5*g wrt g.
4
Let h(p) = -5*p**2 - 3*p. Let x(z) = -6*z + 15 - 10*z**2 - 15. Let o(i) = 11*h(i) - 6*x(i). What is the second derivative of o(q) wrt q?
10
Let o(s) = 2*s**4 + 3*s**3 + 3*s**2 - 8*s - 27. Let y(n) = n**4 + n**3 + n**2. Let r(a) = -o(a) + 3*y(a). Differentiate r(t) with respect to t.
4*t**3 + 8
Let u be (-6)/(-9) - (-12)/9. Find the third derivative of 4*r**6 + 4 + 5*r**u - 6*r**2 - 4 wrt r.
480*r**3
Let h(k) be the third derivative of -3*k**2 + 0 + 0*k + 1/60*k**5 - 1/60*k**6 + 0*k**4 + 0*k**3. What is the third derivative of h(b) wrt b?
-12
Let j = -19/4 + 21/4. Let v(x) be the second derivative of 0*x**4 - 3*x + 0 - 1/10*x**5 + j*x**2 + 0*x**3. What is the first de