wrt h?
-168
What is the second derivative of 39*n**2 + 35*n + 16*n - 9*n**2 wrt n?
60
Let z(s) be the second derivative of 3*s**4/8 + 5*s**3/3 + 31*s**2/2 + 19*s. Let w(j) be the first derivative of z(j). What is the derivative of w(c) wrt c?
9
Let u(w) be the first derivative of 0*w**3 - w**2 + 3*w + 4 + 0*w**4 - 2*w**6 - 2/5*w**5. Find the second derivative of u(z) wrt z.
-240*z**3 - 24*z**2
Let y = -5 - -9. Suppose -3*b + y*b - 6 = 0. Find the third derivative of -4*x**2 + x**6 - x**6 - 3*x**b - 2*x**6 wrt x.
-600*x**3
Let k(y) = -y**2 - 5*y + 12. Let i be k(-11). Let w = i - -81. What is the second derivative of w*x**2 + 4*x + 0*x - 23*x**2 wrt x?
8
Let a = 112 - 109. Differentiate -342*t**a - 7*t**4 + 0 + 25 + 342*t**3 wrt t.
-28*t**3
Suppose -r = r. Let z = r + 4. What is the derivative of -5*k + z*k + 1 + 4*k - 2*k wrt k?
1
Suppose 4*t - 2*p + 2 = 6, 5*t + p = 12. Suppose g = t*g - 2. Find the second derivative of g*v + 7*v**4 + 1 + 3*v - 1 wrt v.
84*v**2
What is the third derivative of 457*n + 2*n**2 - 10*n**4 - 445*n + 2*n**3 + 4*n**2 wrt n?
-240*n + 12
Let h be (-12)/24*(-2)/6. Let p(l) be the third derivative of h*l**3 + 0*l**4 + 1/20*l**5 + l**2 + 0 + 0*l. What is the first derivative of p(i) wrt i?
6*i
Let v(i) be the second derivative of 271*i**3/3 + 172*i**2 - 598*i. What is the first derivative of v(a) wrt a?
542
Find the first derivative of -19*r**3 - 50*r**3 + 700 - 605 wrt r.
-207*r**2
Let p be (24/(-18))/(2/(-12)). Let w be (p/(0 + -2))/(-4). What is the first derivative of 5*l + 2*l - w - 4*l wrt l?
3
Let m(g) be the third derivative of g**9/168 + 13*g**7/210 + g**5/15 - 5*g**4/24 + 53*g**2. What is the third derivative of m(d) wrt d?
360*d**3 + 312*d
Suppose 2*x + 80 = 4*s + s, -4*s + 5*x = -47. Find the first derivative of s*y - 38*y - 18 + 19*y wrt y.
-1
Suppose -12*t + 11*t + 33*t = 0. Let p(r) be the first derivative of -5 + 0*r + 0*r**2 + t*r**4 + 2*r**3 + 6/5*r**5. Find the third derivative of p(l) wrt l.
144*l
Let r(s) = s**3 - 3*s**2 - 2*s - 6. Let j be r(4). Find the third derivative of -11*a**3 + 99 - 99 + 6*a**j wrt a.
-66
Suppose -3*x + 12 = 2*a + 3*a, -3*a + 3*x = 12. Let r(n) be the third derivative of 4*n**2 + 0*n - 1/6*n**4 + a + 1/2*n**3. Differentiate r(p) wrt p.
-4
What is the derivative of 4*f - 24*f + 306 + 2*f + 3*f wrt f?
-15
Let a(g) be the first derivative of g**4/4 - 20*g**3/3 + 37*g**2 + 1. What is the second derivative of a(i) wrt i?
6*i - 40
Let r(w) = -20*w**3 - 64*w**2 - 395*w + 30. Let q(k) = 7*k**3 + 21*k**2 + 132*k - 11. Let n(j) = -11*q(j) - 4*r(j). Find the second derivative of n(c) wrt c.
18*c + 50
Let v(k) be the second derivative of -5*k**7/21 - k**4/2 - 5*k**3/3 - 12*k - 2. What is the second derivative of v(x) wrt x?
-200*x**3 - 12
Let q(b) = -b - 2 + 5*b - 3*b. Let j be q(7). Find the third derivative of 4*w**3 - 9*w**3 + 7*w**2 + w**4 + j*w**3 wrt w.
24*w
Find the second derivative of -27*j + 76*j - 2*j**3 - 13*j + 3*j**5 wrt j.
60*j**3 - 12*j
What is the derivative of -27 + 75*p**4 - 11*p**2 - 79*p**4 - 7*p**2 - 39 wrt p?
-16*p**3 - 36*p
Let f be -7*((-4)/(-2) + 16/(-7)). Find the third derivative of 15*m**2 - 3*m**6 + 2*m**6 - 11*m**f wrt m.
-120*m**3
Let s(l) be the first derivative of 9*l - 2*l**3 - 3*l**4 + 16 + 2*l**3 + 7*l. What is the derivative of s(g) wrt g?
-36*g**2
Suppose 41 = 3*b + 104. Let p(j) = j**2 + 20*j - 11. Let c be p(b). What is the second derivative of -5*y + c*y**2 + 14*y - 13*y wrt y?
20
Let q = 1 + 2. Suppose q*j - 3 = 9. What is the second derivative of j*g - 2*g + 2*g**2 - 3*g - g wrt g?
4
Let t(u) be the third derivative of 199*u**7/210 - 116*u**5/15 - 330*u**2. Find the third derivative of t(z) wrt z.
4776*z
Let w = -30 + 33. What is the derivative of 0*t**2 - 4 + w*t**2 - 2*t**2 wrt t?
2*t
Let r(m) be the second derivative of -3*m**6/2 - m**4/6 - 50*m**2 + 104*m. What is the derivative of r(y) wrt y?
-180*y**3 - 4*y
Let b(s) be the first derivative of 17/3*s**3 + 20 + 15*s + 0*s**2. What is the first derivative of b(q) wrt q?
34*q
Let l(c) = -4*c + 5. Let g be l(-7). Suppose -2*z = z - 4*d - 13, 5*z = d + g. What is the second derivative of -z*y**2 + 4*y - 3*y**2 + 4*y**2 + y wrt y?
-12
Suppose -2*p - 6 = -i, -4*p = i - 9*p - 6. What is the third derivative of -44*o**5 + 2*o**3 - 11*o**2 + 3*o**i - 2*o**3 + 36*o**5 wrt o?
360*o**3 - 480*o**2
What is the derivative of 44*p**2 + 122 + 23 - 325*p**2 wrt p?
-562*p
Let d(t) be the second derivative of -t**7/42 - 15*t**5/4 - 451*t**4/12 - t**3/3 - 41*t - 2. What is the third derivative of d(y) wrt y?
-60*y**2 - 450
Suppose q + p = 5*p + 35, -p - 3 = 0. Find the second derivative of 35*n - 25*n + 4*n**2 - q*n**2 wrt n.
-38
Let z(y) = y**2 + 27*y + 27. Let o be z(-27). What is the first derivative of -40*s - 28 - o + 25 - 19 wrt s?
-40
What is the third derivative of -r**4 + 817 - 830 - 6*r**3 + 3*r**2 + 39*r**3 wrt r?
-24*r + 198
Let c be (0/(-1))/((7 - 20)/(-13)). Let a(h) be the third derivative of 2/15*h**5 - 1/6*h**3 + h**2 + 0*h + c*h**4 + 0. Differentiate a(b) with respect to b.
16*b
Let d(t) be the first derivative of -t**5/5 - t**4/2 + 218*t**3/3 - 10. Find the third derivative of d(h) wrt h.
-24*h - 12
Let b(n) = 39*n**4 + 2*n**3 + 5*n**2 - 5*n + 450. Let t(p) = 18*p**4 + p**3 + 2*p**2 - 2*p + 225. Let f(h) = 2*b(h) - 5*t(h). Differentiate f(g) wrt g.
-48*g**3 - 3*g**2
Let c = -1259/12 - -421/4. Let w(n) be the third derivative of 0 + 1/6*n**3 - c*n**4 + 0*n + 6*n**2. What is the first derivative of w(y) wrt y?
-8
Let o = -14 + 15. Let n(s) be the first derivative of -3/2*s**4 + 0*s - o + 0*s**3 - 4*s**2. Find the second derivative of n(w) wrt w.
-36*w
Find the second derivative of 28*k**2 - 77*k**3 + 44 - 2*k - 14*k**2 - 14*k**2 wrt k.
-462*k
Suppose -20 = -5*z - 2*q, 6*z + 2*q = 2*z + 18. Suppose -3*x - z*x = -20. Find the third derivative of -5*k**2 + 5*k**x + 8*k**4 + 0*k**4 - 8*k**4 wrt k.
120*k
Let u(k) = 187*k**3 - 9*k**2 - 11*k - 6. Let a(d) = 562*d**3 - 27*d**2 - 31*d - 21. Let y(o) = -2*a(o) + 7*u(o). What is the third derivative of y(j) wrt j?
1110
Let h(t) = -10*t**4 + 3*t**3 + 23*t**2 - 269*t + 3. Let u(c) = 2*c**4 - c**3 - c**2 - 1. Let o(r) = h(r) + 3*u(r). What is the second derivative of o(j) wrt j?
-48*j**2 + 40
Let f(i) be the first derivative of 2*i**4 + 5*i**3/3 + 5*i**2/2 + 20*i + 22. Find the second derivative of f(w) wrt w.
48*w + 10
Let c(i) = -69 - 71 + 141. Suppose -4*k + 1 = 9, 5*k = 3*y - 13. Let o(m) = 6*m + 1. Let h(s) = y*o(s) - 5*c(s). What is the derivative of h(q) wrt q?
6
Let z(l) = -l**3 - l**2 + 1. Let v(y) = -10*y**4 - 3*y**3 - 92*y**2 + 3. Let o(t) = v(t) - 3*z(t). Find the third derivative of o(g) wrt g.
-240*g
Suppose -41 = -3*t + 7. What is the second derivative of 0*x**5 - 14*x**5 - 22*x**5 + 0*x + t*x wrt x?
-720*x**3
Find the second derivative of 104*s**3 - 342*s**3 + 1053*s - 880*s wrt s.
-1428*s
Let v(c) be the third derivative of 0*c**7 + 11/24*c**4 + 7*c**2 + 0*c + 0*c**5 + 0*c**3 + 0 - 1/112*c**8 + 0*c**6. What is the second derivative of v(n) wrt n?
-60*n**3
What is the second derivative of -10*p - 969*p**5 + 911*p**5 - 8*p wrt p?
-1160*p**3
Let m(n) = n**4 - n**3 - n**2 + 2. Let b(k) = -2*k**4 - 6*k**3 - 3*k**2 - 2*k - 191. Let p(y) = -b(y) + 3*m(y). What is the second derivative of p(f) wrt f?
60*f**2 + 18*f
Let k(g) be the first derivative of -g**4/6 - 7*g**2/2 + 13*g - 7. Let r(d) be the first derivative of k(d). What is the first derivative of r(j) wrt j?
-4*j
What is the third derivative of 71*m**3 - 1759*m + 883*m + 877*m - 234*m**3 + 68*m**2 wrt m?
-978
Let i be (-2)/(-4) + (-28)/(-8). Suppose 1 + 7 = i*d. Find the third derivative of 9*v**6 + v**2 - 7*v**6 + 5*v**d - 9*v**6 wrt v.
-840*v**3
Let o(i) be the third derivative of -i**7/70 + 7*i**4/4 - 70*i**3/3 - 108*i**2. Differentiate o(b) wrt b.
-12*b**3 + 42
Find the second derivative of 9767*a**2 - 9767*a**2 - 78*a - 178*a + 367*a**3 wrt a.
2202*a
Suppose 8*h - 3*h = 10. Let p be 0 + (2 - -2 - h). Find the third derivative of 4*i**2 + 4*i**4 - 4*i**2 - 3*i**p wrt i.
96*i
Let d(t) be the third derivative of t**6/20 - 7*t**4/24 - 155*t**3/6 - 122*t**2. What is the derivative of d(w) wrt w?
18*w**2 - 7
Find the first derivative of 5*m - 20*m**4 - 5*m - 107*m**4 - 28*m**4 + 346 wrt m.