 -8*w**2 + 39*w - 10. Let o(t) = -9*t**2 + 38*t - 12. Let n(b) = -6*a(b) + 5*o(b). What is the second derivative of n(s) wrt s?
6
Let t(l) be the second derivative of l**6/120 - l**5/20 - l**3/2 + 5*l. Let p(y) be the second derivative of t(y). Find the second derivative of p(f) wrt f.
6
Let d(v) = -20*v**2 + 4. Let o(y) = 41*y**2 + y - 9. Let b(m) = 9*d(m) + 4*o(m). What is the second derivative of b(u) wrt u?
-32
Suppose -l + 4 = -0*l, -4*p + 16 = l. Differentiate 3 + p*i**4 - 5*i**4 - 5 wrt i.
-8*i**3
Let i(w) be the second derivative of -3*w + 0*w**3 - w**2 + 0 - 5/12*w**4. Find the first derivative of i(p) wrt p.
-10*p
Suppose 8 - 4 = 2*g. What is the third derivative of -i**6 + i**2 - 3*i**g - i**6 wrt i?
-240*i**3
Find the third derivative of -9 - s**4 - 20*s**5 - 24*s**3 - 5*s**3 + 29*s**3 + 6*s**2 wrt s.
-1200*s**2 - 24*s
Let p be 2/(-3)*9/(-24). Let a(y) be the first derivative of 0*y**3 + 2 + 2*y + 0*y**2 + p*y**4. Find the first derivative of a(u) wrt u.
3*u**2
What is the second derivative of 9*n - 347*n**5 + 355*n**5 - 59*n wrt n?
160*n**3
Let p(n) = 6*n**4 - 3*n**2 - 3*n - 3. Let u(k) = 11*k**4 - 5*k**2 - 5*k - 6. Let d(l) = 5*p(l) - 3*u(l). Differentiate d(g) wrt g.
-12*g**3
Let a(p) be the second derivative of 7*p**6/30 - 5*p**2 - 12*p. What is the first derivative of a(b) wrt b?
28*b**3
Let s(p) = -2*p - 12. Let n be s(-8). What is the third derivative of i**6 + i**6 - 2*i**2 - 90*i**n + 90*i**4 wrt i?
240*i**3
Find the first derivative of -13*m**2 + 63*m**2 - 4 - 25*m**2 wrt m.
50*m
Let b(x) be the third derivative of -1/210*x**7 + 10*x**2 + 0*x + 0*x**4 - 1/6*x**5 + 0*x**3 + 0 + 0*x**6. What is the third derivative of b(o) wrt o?
-24*o
Suppose -g + 6 - 1 = 0. Find the second derivative of -3*o**g - 6*o + 4*o + 0*o + 3*o wrt o.
-60*o**3
Find the second derivative of -6*g**3 + 0*g**3 + 3*g + 6*g**3 - 6*g**5 wrt g.
-120*g**3
Let n = -245/6 - -41. Let h(z) be the second derivative of 0 + n*z**3 - z + 1/2*z**2. Differentiate h(d) wrt d.
1
Let h(d) = 4*d**4 - 19*d. Let v(s) = -3*s**4 + 18*s. Let t(k) = -5*h(k) - 6*v(k). Find the second derivative of t(p) wrt p.
-24*p**2
Let x(l) = 7*l**3 - 13*l**2 - 12. Let t(p) = 3*p**3 - 6*p**2 - 6. Let b(h) = -13*t(h) + 6*x(h). What is the first derivative of b(w) wrt w?
9*w**2
Find the second derivative of -17*i - 15*i**4 - 6*i + 2494 - 2494 wrt i.
-180*i**2
Let h(n) = -n - 5. Let o be h(-7). Differentiate 2 - 3 - g**o + 3 wrt g.
-2*g
Differentiate 14 - 6*k**4 + k**4 - 5 with respect to k.
-20*k**3
Let u(g) be the third derivative of g**8/12 + 17*g**5/60 - 34*g**2. Find the third derivative of u(k) wrt k.
1680*k**2
Suppose -4*d = 5*a - 36, 5 - 1 = -3*d + 4*a. Find the second derivative of 2*o**4 + 5*o - 6*o**4 + 2*o**4 + d*o**4 wrt o.
24*o**2
Let l(i) = i**2 + 4*i - 1. Let d be l(-5). What is the third derivative of -9*f**3 - 4*f**4 + f**2 + 5*f**3 + d*f**3 wrt f?
-96*f
Let m be (-3)/(24/(-14))*4. Let o = m - 4. What is the first derivative of -y**3 + 0*y**o + 2 - 2*y**4 + y**3 wrt y?
-8*y**3
Let p(q) be the first derivative of -2*q**7/7 - 10*q**3 + 30. What is the third derivative of p(v) wrt v?
-240*v**3
Let a(k) = -31*k**2 - 25*k + 1. Let f(u) = 3*u**2 - u. Let g(b) = -a(b) + 4*f(b). Find the second derivative of g(h) wrt h.
86
Let f = 3 - 1. Find the second derivative of 11*i**2 - 2 + f - 9*i**2 - 3*i wrt i.
4
What is the second derivative of -71*g**5 - 7*g + 20*g + 64*g**5 wrt g?
-140*g**3
What is the derivative of -3*x**4 - 7*x**4 + 14 + x**4 + 0*x**4 wrt x?
-36*x**3
What is the second derivative of 166*d**2 - 2*d**3 + 2*d - 166*d**2 wrt d?
-12*d
Find the third derivative of 3*u**5 + 7*u**2 + 7*u**2 - 3*u**2 wrt u.
180*u**2
Find the second derivative of 2*p**2 + 6*p - p**2 - 4*p**2 - 5*p**2 wrt p.
-16
Let p(g) be the second derivative of -5*g**8/28 - 7*g**4/3 - 12*g. Find the third derivative of p(z) wrt z.
-1200*z**3
Let z(n) be the third derivative of -5*n**8/84 + n**4/6 - 4*n**2. What is the second derivative of z(a) wrt a?
-400*a**3
Let g(h) be the first derivative of -h**8/1680 - h**6/120 + h**3/3 + 3. Let o(f) be the third derivative of g(f). Find the third derivative of o(p) wrt p.
-24*p
Let b(q) = 32*q**3 + 3*q**2 - 5*q - 5. Let m(d) = -d**3 + d**2 + d + 1. Let o(x) = b(x) + 5*m(x). Find the third derivative of o(s) wrt s.
162
Let s(y) be the first derivative of y**5/10 - y**4/12 + 3*y - 3. Let k(x) be the first derivative of s(x). Find the third derivative of k(r) wrt r.
12
Let w = -9 - -14. What is the third derivative of -2*h**w - 9*h**4 + 9*h**4 - 3*h**2 wrt h?
-120*h**2
Let i(m) be the third derivative of 13*m**6/120 + 5*m**4/24 - 7*m**2. What is the second derivative of i(j) wrt j?
78*j
Let f(q) be the first derivative of 9*q**5/5 + 7*q**2/2 - 9. What is the second derivative of f(i) wrt i?
108*i**2
Let f(l) be the third derivative of -l**11/11088 - l**7/840 - l**4/6 - l**2. Let z(y) be the second derivative of f(y). Find the third derivative of z(i) wrt i.
-600*i**3
Let h(r) be the third derivative of r**6/120 + 7*r**5/60 + r**4/6 - 4*r**3/3 - r**2. Let f be h(-6). What is the derivative of -2 - k - f*k + 4*k - 2*k wrt k?
-3
Let k = 48 + -48. Let h(n) be the first derivative of 0*n**3 + 3 + k*n + 3/4*n**4 + 3/2*n**2. What is the second derivative of h(y) wrt y?
18*y
Let b(k) be the first derivative of -2/7*k**7 + 0*k + 0*k**5 - 5 + 0*k**2 + 0*k**6 + 0*k**4 + 5/3*k**3. Find the third derivative of b(s) wrt s.
-240*s**3
Let l(r) = r**3 - r. Let x(v) = -16*v**3 + 10*v - 2. Let j(m) = -10*l(m) - x(m). What is the first derivative of j(i) wrt i?
18*i**2
Suppose -4*z - f + 7 = z, 0 = 2*f + 6. Let a(j) be the third derivative of j**z + 0*j + 1/12*j**4 + 1/6*j**3 + 0. Differentiate a(u) wrt u.
2
Find the first derivative of 12 + 17*i + 9 + 33*i - 1 wrt i.
50
Let j be (-40)/15*3/(-2). Find the second derivative of -d - 5*d**3 + 2*d**3 + j*d**3 wrt d.
6*d
Let l(b) be the second derivative of -b**4/4 - 2*b**3 - 9*b. Find the second derivative of l(p) wrt p.
-6
Find the first derivative of a**2 - 35 - 29 - 7*a**2 + 53 wrt a.
-12*a
Let b(y) be the second derivative of y**7/70 - y**4/8 - y**2/2 - y. Let s(v) be the first derivative of b(v). What is the second derivative of s(i) wrt i?
36*i**2
Let t(d) be the third derivative of 3*d**8/28 - 9*d**5/20 - d**4/12 + 31*d**2. Find the third derivative of t(m) wrt m.
2160*m**2
Let t(a) = a**4 - a**2 + a. Let s(z) = -2*z**2 + 0*z**4 - 2*z**2 - 5*z + z - 9*z**4. Let q(n) = -s(n) - 4*t(n). What is the third derivative of q(u) wrt u?
120*u
Find the first derivative of 39 - 14*t**4 - 54*t**4 - 7 + 14*t**4 wrt t.
-216*t**3
Suppose 3*t - 3 = 3. Differentiate 76*u + 4 + 5*u**t - 76*u with respect to u.
10*u
What is the second derivative of -10*f - 28 - 2*f**2 + 28 wrt f?
-4
Let m(r) be the third derivative of 13*r**9/126 - 19*r**5/30 - 52*r**2. Find the third derivative of m(u) wrt u.
6240*u**3
What is the third derivative of -11*v**3 - 24*v**2 - 15*v**2 - 23*v**2 wrt v?
-66
Let h = 35 + -15. Suppose 0 = -2*l + 2*p + 20, -2*p - h = l + 3*p. What is the second derivative of -4*d + l*d - 2*d**5 + 3*d wrt d?
-40*d**3
Suppose -4*b = -2*o - 3*o + 102, -12 = 4*b. Let w be 2/4 - o/(-12). Find the third derivative of -r**2 + 5*r**3 + 4*r**2 - w*r**3 wrt r.
18
Suppose s - 4*f = -0*s - 12, -2*s - 5*f = -28. Let w = -1 + s. Differentiate r**3 + w - 1 - 1 wrt r.
3*r**2
Let j(d) = -3*d**2 + d**2 - 6 - d**3 - d + 3 - 6*d**2. Let z be j(-8). Find the second derivative of 3*k + 0*k - z*k - k**4 wrt k.
-12*k**2
Suppose 0 = -3*c + 6 + 48. Differentiate 4 - 18*f + f**2 + c*f with respect to f.
2*f
What is the third derivative of -a**4 + 30*a - 30*a + 0*a**2 - 11*a**2 wrt a?
-24*a
Let u(x) = 0*x - 3*x - 1 + 4*x. Let p(r) be the first derivative of -2*r**2 + 3. Let i(q) = -p(q) - 2*u(q). What is the derivative of i(s) wrt s?
2
Let o be 12/(-10)*60/(-9). Find the third derivative of 0*p**2 - 8*p**2 + 4*p**2 - 3*p**2 - o*p**3 wrt p.
-48
Differentiate -14*d**2 + 33*d**2 - 4 - d**2 with respect to d.
36*d
Suppose 9 = 4*d - 7. Let a be 3/(((-30)/d)/(-5)). Find the second derivative of 4*y + y**5 - a*y + 0*y wrt y.
20*y**3
Let z(r) be the second derivative of 19*r**5/20 + 11*r**3/6 - r**2/2 - 30*r. Find the second derivative of z(t) wrt t.
114*t
Let x(j) be the third deri