 3. Find the second derivative of 2*j**l + 2*j**5 - 2*j**5 - b*j wrt j.
40*j**3
Let u(l) be the first derivative of -3/2*l**2 + 0*l**3 + 0*l - 3/4*l**4 - 1. What is the second derivative of u(h) wrt h?
-18*h
Differentiate 0*l**3 - 4*l**3 - 8*l**3 + 14 wrt l.
-36*l**2
What is the first derivative of -7*b**2 - 2 + 5*b - 5*b wrt b?
-14*b
Let d(k) = 2 + 0 + 3*k - 12*k**2 - 2. Let l(y) = y**2. Let p(q) = d(q) + 4*l(q). Find the second derivative of p(j) wrt j.
-16
Let x(z) = -14*z**2 - 11*z. Let a(b) = -15*b**2 - 12*b. Let d(w) = 4*a(w) - 5*x(w). Find the second derivative of d(j) wrt j.
20
Find the second derivative of 48*y + 2*y**3 - 55*y - 6*y**3 wrt y.
-24*y
Let x(l) = -l**3 + l + 1. Let u be (6/(-3) + 3)*2. Let i(k) = 8*k**3 - 2*k - 1. Let o(w) = u*x(w) + i(w). What is the first derivative of o(f) wrt f?
18*f**2
Let j(m) = m + 12. Let o be j(-10). What is the second derivative of -3*r - 2*r**4 + 2*r**2 - o*r**2 + 0*r**2 wrt r?
-24*r**2
Let h = 5 - 9. Let i(o) = -o**3 + o**2 - o + 1. Let l(y) = 6*y**3 - 8*y**2 + 4*y - 4. Let g(c) = h*i(c) - l(c). Find the third derivative of g(f) wrt f.
-12
Suppose 5*q + 6 = 41. Find the second derivative of -10*l**2 + 0*l - l + q*l**2 + 0*l**2 wrt l.
-6
Let v(x) be the first derivative of -3 + 0*x**5 - 1/3*x**3 + 0*x - 1/2*x**6 + 0*x**2 + 0*x**4. What is the third derivative of v(g) wrt g?
-180*g**2
Let l(h) be the third derivative of -h**8/84 - h**6/20 - h**5/12 + h**4/12 + h**2 - 16. Find the third derivative of l(b) wrt b.
-240*b**2 - 36
Let x(n) = 39*n**4 + 7*n**3 - 7*n**2 - 7*n + 23. Let y(i) = 13*i**4 + 2*i**3 - 2*i**2 - 2*i + 8. Let l(p) = -4*x(p) + 14*y(p). Differentiate l(d) wrt d.
104*d**3
Let f(i) be the first derivative of 7*i**4/4 + 10*i + 9. Find the first derivative of f(v) wrt v.
21*v**2
Find the third derivative of -2*b**6 - 18*b**6 + 158*b**2 - 171*b**2 wrt b.
-2400*b**3
Let h be 5 + -3 - (-8)/4. Let a(g) = g**3 + g + 5. Let c be a(0). What is the second derivative of -2*i**2 + 2*i**2 - i**h - c*i + 7*i wrt i?
-12*i**2
Let l(c) = 3*c**4 - 1. Let x(s) = 3*s**4. Let w(t) = 4*l(t) - 3*x(t). Differentiate w(d) with respect to d.
12*d**3
Let r(s) be the second derivative of 0 - 1/3*s**4 + 0*s**7 + 0*s**2 + 0*s**6 + 0*s**5 + 7*s + 0*s**3 - 9/56*s**8. Find the third derivative of r(d) wrt d.
-1080*d**3
What is the second derivative of 15*p + 4*p**3 - 4*p**3 - 21*p - 3*p**3 wrt p?
-18*p
Suppose -t + 51 = -0. Let v be 1/(-4) - t/(-12). Find the second derivative of 4*i**5 + 0*i**4 - 3*i - 2*i**4 + 2*i**v wrt i.
80*i**3
Let v(z) be the first derivative of 0*z**5 - 1 + 0*z**2 + 0*z + 0*z**4 + z**3 + 1/3*z**6. What is the third derivative of v(m) wrt m?
120*m**2
Let v(y) be the second derivative of 0*y**5 + 0*y**4 + y**3 + 0 + 0*y**2 - 3*y + 1/15*y**6. Find the second derivative of v(w) wrt w.
24*w**2
Let m(k) be the first derivative of 4*k**4 - 5*k**2 - 19. Find the second derivative of m(w) wrt w.
96*w
Let t(z) = -z**2 + z. Let y(c) = 12*c**3 + 2*c**2 - 2*c - 5. Let x(o) = -2*t(o) - y(o). Differentiate x(h) with respect to h.
-36*h**2
Let v = -4 + 7. Let h be (v - 5)/(6/(-9)). What is the third derivative of b + 2*b**h + b**3 - b + 4*b**2 wrt b?
18
Let s(i) = -11*i**6 - 11*i**2 - 5*i - 5. Let g(u) = -17*u**2 - 7 - 9*u - 17*u**6 + u - 1. Let o(a) = -5*g(a) + 8*s(a). Find the third derivative of o(m) wrt m.
-360*m**3
What is the first derivative of -2 + 30 - 10*c**2 + 13*c**2 - 15*c**2 wrt c?
-24*c
Let w(c) = -5*c**4 - 5*c + 3. Let t(d) = -6*d**4 - 4*d + 4. Let a(n) = -5*t(n) + 4*w(n). Differentiate a(j) with respect to j.
40*j**3
Find the second derivative of 13*c**4 - 7*c**4 + c + c wrt c.
72*c**2
Suppose 3*q = s - 19, 5*q + 40 = 3*s + 3. Find the third derivative of 4*j**4 - 4*j**s - 4*j**2 - 3*j**4 wrt j.
-72*j
Let x(v) = 2*v**2 + v. Let s(p) = 8*p**2 + 12*p + 71. Let j(b) = s(b) - 5*x(b). What is the first derivative of j(w) wrt w?
-4*w + 7
Suppose -4*f + 12 = 2*f. Let o(d) be the first derivative of 0*d**f + 3*d + 1/3*d**3 - 1. Differentiate o(h) with respect to h.
2*h
Let t(m) be the second derivative of -2*m**7/21 - m**3/2 - 8*m. What is the second derivative of t(h) wrt h?
-80*h**3
Let x(c) = -c - 2. Let m be x(-9). What is the second derivative of -2*w - 3*w**2 - 2*w + m*w**2 wrt w?
8
Differentiate -19*j**3 - 12*j**3 + 15 - 5 + 24 wrt j.
-93*j**2
Let s(k) be the third derivative of k**7/420 + k**6/120 - k**3/2 - 8*k**2. Let h(a) be the first derivative of s(a). Find the third derivative of h(r) wrt r.
12
Let d be -5*4/(-30)*-6. Let v be (-12)/(-9) + d/(-6). What is the third derivative of -3*c**5 - v*c**2 - c**2 + 2*c**2 wrt c?
-180*c**2
Let s(u) = -6*u**2 + 3*u + 2. Let q = -1 + 3. Let w(x) = 13*x**2 - 7*x - 5. Let o(b) = q*w(b) + 5*s(b). What is the second derivative of o(a) wrt a?
-8
Let s(a) = 9*a - 11. Let w(m) = -8*m + 11. Let y(g) = -5*s(g) - 6*w(g). Differentiate y(t) with respect to t.
3
Let r = 45 - 10. Find the second derivative of 2*h**4 - 37*h + r*h + 2*h**4 wrt h.
48*h**2
What is the first derivative of 8*k**2 + 1 - 3*k**2 + 1 + 2 wrt k?
10*k
Let g(w) = 13*w**5 - 3*w**2 + 5. Let x(u) = 6*u**5 - 2*u**2 + 2. Let c(t) = 2*g(t) - 5*x(t). What is the third derivative of c(v) wrt v?
-240*v**2
Suppose 0 = -4*o + 6 + 2. What is the second derivative of o*r + 0*r - 2*r + 4*r - r**3 wrt r?
-6*r
Let w(t) = 2*t**3 + t**2 - t - 6. Let o(m) = -m**2 + m - 1. Let u(j) = -o(j) - w(j). What is the derivative of u(p) wrt p?
-6*p**2
Suppose 0 = -2*a + 33 - 9. Let x be (-1)/(1 + a/(-9)). Find the third derivative of -5*d**x + 5*d**3 + d**2 - d**3 wrt d.
-6
Let u(w) be the second derivative of w**3/6 + 2*w**2 - 3*w. Let z be u(-2). Find the third derivative of -12 + 12 - 4*q**z + 4*q**6 wrt q.
480*q**3
Let t(d) = 10*d - 17. Let r(p) = -15*p + 26. Let q(v) = -5*r(v) - 7*t(v). Differentiate q(z) with respect to z.
5
Let x(j) be the third derivative of -11*j**6/120 + j**5/10 + 3*j**2. What is the third derivative of x(s) wrt s?
-66
Let z(o) = -4*o**2 + 3*o + 3. Let y(b) = -5*b**2 + 2*b + 3. Let r(h) = 3*y(h) - 2*z(h). Find the first derivative of r(s) wrt s.
-14*s
Let s be (-20)/(-6)*(-45)/(-30). Find the second derivative of -7*o + 4*o**s + 5*o**5 - 11*o**5 wrt o.
-40*o**3
Let r(l) be the second derivative of 2*l**6/15 - l**3/2 - 4*l. What is the second derivative of r(f) wrt f?
48*f**2
Let k(q) = -2*q**2 - 3*q + 2. Let i be k(0). Let w(r) be the first derivative of 4 + 5/2*r**i - 5*r. What is the first derivative of w(h) wrt h?
5
Let r(o) = o**3 - 11*o**2 - 2*o - 2. Let j(g) = -g**3 - g - 1. Let w(y) = -2*j(y) + r(y). Find the third derivative of w(v) wrt v.
18
Suppose -j = h, -j - 4*h = -6*j + 36. Suppose -x - 15 = 4*x + j*v, -x - 5*v = 24. Differentiate x + 2*c - 4*c + 1 with respect to c.
-2
Let k = -8 + 10. Find the second derivative of -5*s**2 + 4*s**k - 4*s**2 - 5*s wrt s.
-10
Let a be -1*15*(-1)/3. Suppose -3*h + 3*w = 6, 5*h - h - 32 = -4*w. Find the second derivative of -a*b - b + 3*b - h*b**5 wrt b.
-60*b**3
Let n(h) be the first derivative of 12*h**7/7 + 17*h**3/3 + 1. What is the third derivative of n(o) wrt o?
1440*o**3
Let m(y) be the third derivative of -3*y**7/70 - 25*y**3/6 - 44*y**2. What is the first derivative of m(i) wrt i?
-36*i**3
Let d(x) be the first derivative of 0*x**4 + 0*x**5 - 3 + 0*x**3 + x**2 + 0*x - 1/3*x**6. Find the second derivative of d(u) wrt u.
-40*u**3
Let w(f) be the second derivative of f**7/210 - f**3/6 + 3*f**2/2 - f. Let c(t) be the first derivative of w(t). What is the derivative of c(o) wrt o?
4*o**3
Let l(v) = v + 2. Let z(u) = 3*u - 30. Let y(a) = 18*l(a) + z(a). Differentiate y(k) wrt k.
21
Suppose 3*b + 5 = -3*l + 32, 5*b = -3*l + 53. Let g = -3 + b. Find the third derivative of f**3 - 3*f**2 + 10*f**2 - g*f**2 wrt f.
6
Let f be -2 + 0 + 14 + -3. What is the second derivative of i**2 + 3*i - 4*i**2 - f*i wrt i?
-6
Let m = 66 + -66. Let h(j) be the third derivative of 0*j**5 + 0*j**4 + m + 1/210*j**7 + 2/3*j**3 + 0*j - j**2 + 0*j**6. Differentiate h(t) wrt t.
4*t**3
Suppose -d + 0*d = 5*m - 20, 0 = 4*m + 3*d - 5. Find the second derivative of f**3 + 5 - m + f**3 + 2*f wrt f.
12*f
Find the third derivative of -7*f**5 - 116*f**2 + 74*f**2 - f - 7*f**5 wrt f.
-840*f**2
Let c(l) = 2*l**3 - 12*l**2 - 20*l + 12. Let t(m) = m**3 + m**2 - 1. Let h(b) = c(b)