 -3*s**2 - 10*s**5 + 6*s**5 + 9*s**v wrt s.
-240*s**2
Let p(r) be the second derivative of -8*r**6/15 - 7*r**2/2 - 3*r. Find the first derivative of p(u) wrt u.
-64*u**3
Let s(w) = -29*w**2 + 10. Let q(g) = -145*g**2 + 51. Let i(a) = -2*q(a) + 11*s(a). Differentiate i(p) wrt p.
-58*p
Let u = 13 - 8. Differentiate -2 + 1 + 4*f - 1 + u wrt f.
4
Let f = 10 - 6. Let c(i) be the second derivative of -1/12*i**f + 0 + 0*i**2 - 1/2*i**3 + 2*i. What is the second derivative of c(p) wrt p?
-2
What is the second derivative of -4*k - 2*k**3 - 6*k**3 - k wrt k?
-48*k
Differentiate -4 - 5*x - 11 + 5 wrt x.
-5
Let r = 249/305 - 1/61. Let i(a) be the first derivative of 0*a**2 + 0*a + 0*a**4 - a**3 - r*a**5 + 1. Find the third derivative of i(w) wrt w.
-96*w
Suppose 3*t = -3*l - 3, 4*l + t + 5 = 5*l. What is the derivative of 3 - l*p - 3 + 1 + 0 wrt p?
-2
Let i(y) = -2*y**4 - 4*y**3 - 4*y**2 + 17*y. Let m(v) = -v**4 - 5*v**3 - 5*v**2 + 18*v. Let j(w) = -5*i(w) + 4*m(w). Find the second derivative of j(q) wrt q.
72*q**2
Let m(g) be the first derivative of g**6 + g**3 + 3*g**2/2 - 20*g + 30. Find the second derivative of m(i) wrt i.
120*i**3 + 6
What is the third derivative of -2794 + 54*k**3 + 2794 + 63*k**2 wrt k?
324
Let u be 6/15 - 84/(-15). What is the third derivative of -a**2 + u*a**4 - 3*a**4 + 2*a**4 - a**2 wrt a?
120*a
Suppose -4*c + c = -4*q - 12, -4*c = 5*q + 15. Find the third derivative of 18*g**2 - 3*g**6 + c*g**6 - 15*g**2 wrt g.
-360*g**3
Let g(t) be the first derivative of -t**6 - 2*t**2 - 8. What is the second derivative of g(o) wrt o?
-120*o**3
What is the second derivative of 13*j**2 + 37*j**3 - 29*j**2 + 16*j**2 - 11*j wrt j?
222*j
Suppose -2*g + 28 = 2*n, 3*g + 0*g = n + 2. Find the second derivative of 0*c**4 - n*c + 13*c - c**4 wrt c.
-12*c**2
Let d(a) be the first derivative of a**5/60 - a**4/24 - a**2 + 1. Let g(s) be the second derivative of d(s). Find the second derivative of g(l) wrt l.
2
Let t(j) be the first derivative of -j**8/84 - j**4/6 + 2*j**2 + 1. Let b(r) be the second derivative of t(r). What is the second derivative of b(v) wrt v?
-80*v**3
Let i(y) be the third derivative of -y**8/42 + y**5/60 - 9*y**2. Find the third derivative of i(g) wrt g.
-480*g**2
Let v(z) be the second derivative of -z**4/6 - 3*z**2 - 7*z. Differentiate v(d) wrt d.
-4*d
Let c = -4 - -6. Find the second derivative of -4*q + c*q + 0*q + 6*q**4 + 7*q wrt q.
72*q**2
Let l(g) be the second derivative of g**6/5 - g**3/6 - 2*g. What is the second derivative of l(d) wrt d?
72*d**2
Let x(v) be the second derivative of -v**8/6720 - v**7/840 + v**4/4 + v. Let q(n) be the third derivative of x(n). Find the third derivative of q(h) wrt h.
-6
Let h(d) be the second derivative of d**6/5 - 2*d**4/3 - 7*d. What is the third derivative of h(m) wrt m?
144*m
Suppose 0 = -0*x - x + f + 6, -2*f = 2*x. Let m(h) = -16*h**3 - 2*h. Let v(o) = -o**3. Let a(w) = x*m(w) - 42*v(w). Find the second derivative of a(p) wrt p.
-36*p
Let i(u) be the second derivative of 0*u**5 + 0 + 0*u**3 + 0*u**6 + 0*u**2 - 4*u - 1/14*u**7 - 1/6*u**4. What is the third derivative of i(g) wrt g?
-180*g**2
Differentiate -2*v - 3*v + 2*v + 10*v + 6 wrt v.
7
What is the third derivative of 46*s**5 + 4*s**4 - 16 - 4*s**4 - 16*s**2 + 17 wrt s?
2760*s**2
Let y(o) be the first derivative of -o**8/56 - o**5/12 + 5*o**2/2 + 6. Let d(i) be the second derivative of y(i). What is the third derivative of d(z) wrt z?
-360*z**2
What is the third derivative of 7*r**5 + 9*r**2 + 7*r**6 - 7*r**5 - 2*r**2 wrt r?
840*r**3
Let w be 3 - -1*9/3. What is the third derivative of -3*a**2 + 0*a**2 - w*a**6 + 6*a**2 wrt a?
-720*a**3
Let b be 1*(-2 - -1)*-2. Let x be 2 - (1 - 1*2). What is the second derivative of 0*a**b + x*a**2 + 2*a - a**2 wrt a?
4
Suppose -u + 3*u + 5*a + 15 = 0, 0 = -5*u + a + 3. What is the third derivative of 0*r**3 - 3*r**4 + 0*r**2 + u*r**3 + 2*r**2 wrt r?
-72*r
Suppose -2*o - 14 = -0*o - 5*u, -5*o - 1 = -4*u. What is the derivative of -7*x**o - 3*x**3 - 7 + 6*x**3 wrt x?
-12*x**2
Let f(o) = o**3 - o**2 + o + 1. Let c(j) = 24*j**3 - 9*j**2 + 24*j + 9. Let h(a) = -4*c(a) + 36*f(a). What is the second derivative of h(v) wrt v?
-360*v
Let b(a) be the third derivative of a**7/105 - 13*a**5/60 + 41*a**3/6 + 66*a**2. Differentiate b(u) with respect to u.
8*u**3 - 26*u
Let t be -1 + 1 + 6/2. Suppose 4*s - 14 = -3*n - 2, 0 = t*s + 5*n - 9. What is the third derivative of 2*v**s - 3*v**5 - 2*v**3 + 2*v**5 - 3*v**2 wrt v?
-60*v**2
What is the third derivative of -6*z**3 + z**2 - 3*z**3 - 7*z**2 - 2*z**3 wrt z?
-66
Let a(m) be the second derivative of -m**5/30 - m**3/6 + 3*m**2/2 - 2*m. Let c(p) be the first derivative of a(p). Find the first derivative of c(s) wrt s.
-4*s
Let p be ((-6)/8)/(9/(-24)). Find the third derivative of -2*b**6 - 18 + 18 + 2*b**p wrt b.
-240*b**3
Differentiate 37 - 6*b - 3*b + 40*b**3 + 9*b wrt b.
120*b**2
Let u(g) = -17*g + 12. Let w(q) = -q + 1. Let j(k) = -u(k) - w(k). Differentiate j(t) with respect to t.
18
Let c(w) = w**5 - 2*w**4 + 2*w**3 - 9*w. Let u(s) = 3*s**5 - 9*s**4 + 9*s**3 - 37*s. Let q(p) = 18*c(p) - 4*u(p). What is the second derivative of q(g) wrt g?
120*g**3
Let s(t) = t + 5. Let x be s(0). Suppose 0 = -x*w + 3 + 7. What is the first derivative of 3 + 3*y**w - 7*y**2 + 3*y**2 wrt y?
-2*y
Let u = -1 + 3. What is the second derivative of -u*y - 12*y**5 + 8*y**5 + 6*y wrt y?
-80*y**3
Let k(j) = 9*j**2 - 14*j. Let p(y) = -27*y**2 + 41*y. Let i(f) = -11*k(f) - 4*p(f). Find the second derivative of i(h) wrt h.
18
Let t(s) be the second derivative of -11*s**5/20 - 7*s**3/6 + 11*s. What is the second derivative of t(v) wrt v?
-66*v
What is the first derivative of 23*p + 4 + 18 + 14 wrt p?
23
Let z(v) be the third derivative of -v**5/120 + v**4/4 - 2*v**3/3 + v**2. Let u(i) be the first derivative of z(i). Differentiate u(p) wrt p.
-1
Let s(r) = -10*r**3 + 5*r**2. Let a be (-1 + -1 - -4) + 5. Let d(g) = -7*g**3 + 3*g**2. Let m(w) = a*d(w) - 5*s(w). What is the third derivative of m(h) wrt h?
6
Let t(f) be the second derivative of -f**8/14 - f**4/6 + 9*f. Find the third derivative of t(h) wrt h.
-480*h**3
Let q(r) = -3 - 2*r**2 - 6*r + 2*r**2 - r**2. Let x be q(-5). What is the second derivative of x*o + o - 2*o + o**5 wrt o?
20*o**3
Let h(t) = -2*t - 9. Let o(j) = -10*j - 44. Let m(n) = -14*h(n) + 3*o(n). What is the first derivative of m(w) wrt w?
-2
Let g = 17 + -24. Let v = g + 9. Find the third derivative of -2*c**2 - c**4 - 2*c**2 + 5*c**v wrt c.
-24*c
Let w be (9/36)/(1/8). What is the third derivative of -4*y**6 - 3*y**2 - y**w - 6*y + 6*y wrt y?
-480*y**3
Let t(d) be the third derivative of d**6/40 + d**5/10 - 6*d**2. What is the third derivative of t(i) wrt i?
18
Let f(x) = -10*x**2 + 8*x + 3. Let l(k) = 20*k**2 - 15*k - 5. Let i(t) = 5*f(t) + 3*l(t). What is the second derivative of i(r) wrt r?
20
Let r(b) be the second derivative of 1/6*b**6 + 0 + 0*b**5 + 1/12*b**4 + 0*b**3 - 4*b + 0*b**2. Find the third derivative of r(v) wrt v.
120*v
Let t(n) be the first derivative of 9*n**5/5 + 3*n**2/2 + 7. What is the second derivative of t(a) wrt a?
108*a**2
Suppose 2*y + 7 = 15. Find the first derivative of 4*o**3 - y*o**3 - 2 - o**3 wrt o.
-3*o**2
Let o = 1 - -3. What is the second derivative of -3*g**4 + 2*g**o - 4*g**4 - 4*g wrt g?
-60*g**2
Let z(h) be the second derivative of -17*h**4/12 + 11*h**2/2 - 6*h. What is the first derivative of z(p) wrt p?
-34*p
Differentiate 0*o + 7 + o + o - 4*o wrt o.
-2
What is the third derivative of 2*k**2 + 0*k**2 + k**4 + 0*k**2 wrt k?
24*k
What is the third derivative of -3*j**2 - 2 - 28*j**6 + 44*j**6 - 3 wrt j?
1920*j**3
Differentiate -2*i - 11 + 3*i + i with respect to i.
2
Let n(h) be the third derivative of 0*h**4 + 0*h**5 - h**3 + 0 - 1/30*h**6 + 0*h + 5*h**2. What is the first derivative of n(t) wrt t?
-12*t**2
Let l be (-3)/(-6) + (-2)/4. Let g be 0/(1/(1 - l)). Differentiate 3 - 4 + m + g*m wrt m.
1
Let q(n) be the third derivative of n**6/4 + 13*n**5/30 - 21*n**2. What is the third derivative of q(b) wrt b?
180
Let p(c) be the third derivative of -49*c**6/120 - 11*c**5/60 + 15*c**2. Find the third derivative of p(d) wrt d.
-294
Let j(i) be the first derivative of -16*i**3/3 - 56*i - 27. Find the first derivative of j(