- 3. Suppose -4*y + 22 = -2*i, -3*y - 4*i + h = -2*y. What is the second derivative of -2*v**5 - 6*v - v**y + 5*v wrt v?
-60*v**3
Let h(t) = t**3 + 14*t**2. Let k(n) = -7*n**2. Let v(y) = -3*h(y) - 5*k(y). Find the third derivative of v(q) wrt q.
-18
Let n(t) = t**5 - 6*t**4 + 6*t**2 - t - 6. Let d(b) = -b**4 + b**2 + b - 1. Let u(z) = 6*d(z) - n(z). Find the second derivative of u(g) wrt g.
-20*g**3
Find the third derivative of -5*v**5 - 8*v**2 - 7*v**5 + 5*v**5 wrt v.
-420*v**2
Let g(h) = 12*h + 1. Let r(f) = -6*f - 1. Let l(m) = 6*g(m) + 11*r(m). Find the first derivative of l(i) wrt i.
6
Let n(a) be the second derivative of -a**5/10 + a**3 - a. What is the second derivative of n(c) wrt c?
-12*c
Let i(y) = 14*y**5 + 3*y**3 + 8*y**2 - 3. Let b(r) = 55*r**5 + 11*r**3 + 33*r**2 - 11. Let m(z) = 3*b(z) - 11*i(z). Find the third derivative of m(k) wrt k.
660*k**2
Let c(t) be the third derivative of -t**6/240 - t**5/60 - t**4/8 - t**2. Let u(q) be the second derivative of c(q). Differentiate u(k) with respect to k.
-3
Let j(z) be the first derivative of -z**2/2 - 3*z + 2. Let r be j(-5). What is the third derivative of 6*l**3 - l**2 + 2*l**r - 5*l**3 wrt l?
6
Let f(y) be the third derivative of -7*y**5/15 - 37*y**3/6 - 10*y**2. What is the derivative of f(w) wrt w?
-56*w
Suppose 8*s - 160 = 3*s. Find the second derivative of -4*w - w**3 - s*w**2 + 3*w**3 + 32*w**2 wrt w.
12*w
Let p = -2 - -2. Suppose -3*i + i + 6 = p. Find the first derivative of -2 + i*a**2 - 5*a**2 + 5*a**2 wrt a.
6*a
Suppose -r - 8*b + 4*b = -4, -5*b = 3*r - 5. Let t be -4*(-1 + 0 + r). Find the third derivative of -s**2 + 3*s**2 - s**4 + 0*s**t wrt s.
-24*s
Let x be -2 - -1*(5 + -3). What is the derivative of 3*v + 0*v + x - 4 + 1 wrt v?
3
Let p(y) = -3*y**3 + 7*y. Let k(d) = d**3. Let c(l) = 6*k(l) - p(l). What is the second derivative of c(f) wrt f?
54*f
Find the first derivative of 6*l - 3 + 7*l + 2*l wrt l.
15
Let l(m) = -m - 4. Let g be l(0). Let r be 1/(2/g)*-11. What is the first derivative of -2*t**4 - r*t**3 + 22*t**3 + 2 wrt t?
-8*t**3
Let j(w) be the first derivative of 14*w**3/3 - 6*w + 29. What is the first derivative of j(d) wrt d?
28*d
Let q(p) = p - 2. Let v(m) be the third derivative of m**4/12 - m**3/3 - 3*m**2. Let y(g) = -6*q(g) + 5*v(g). Find the first derivative of y(n) wrt n.
4
What is the third derivative of 22*u**2 - 7*u**4 + 24*u**4 + 3*u**2 wrt u?
408*u
What is the third derivative of -4*a**6 + 5*a - 22*a + 7*a + 8*a - 3*a**5 + 28*a**2 wrt a?
-480*a**3 - 180*a**2
Let c = -4 - -7. What is the derivative of 5*f**2 - 2 - c*f**2 + f**3 - 2*f**2 wrt f?
3*f**2
Suppose 0 = 6*r - 5 - 7. Let n(f) be the second derivative of 2*f + 1/2*f**3 - 3/2*f**r + 0. What is the first derivative of n(v) wrt v?
3
Let a(l) = 70*l**5 - 155*l - 85. Let p(o) = 5*o**5 - 11*o - 6. Let z be 1/7 - 86/14. Let d(s) = z*a(s) + 85*p(s). Find the second derivative of d(q) wrt q.
100*q**3
Let f(d) be the third derivative of -1/8*d**4 + 0*d**6 + 0*d + 2/105*d**7 + 0*d**5 + 3*d**2 + 0 + 0*d**3. What is the second derivative of f(x) wrt x?
48*x**2
Suppose -a - 2 = -2*a. Let i be (-4)/5*(-5)/a. Find the third derivative of -p**2 + 0*p**i - p**5 - p**5 wrt p.
-120*p**2
Let a(p) = -8*p**2 + 3*p - 4. Let g(u) be the first derivative of -3*u**3 + 2*u**2 - 4*u + 2. Let f(n) = 4*a(n) - 3*g(n). Differentiate f(h) wrt h.
-10*h
Let y(p) be the third derivative of 7*p**5/30 + 9*p**3/2 - 3*p**2. Find the first derivative of y(h) wrt h.
28*h
Let q(n) be the second derivative of 3*n**8/56 + 2*n**4 + 17*n. What is the third derivative of q(y) wrt y?
360*y**3
Let d(o) be the first derivative of o**7/7 - 7*o**4/12 + o - 9. Let v(p) be the first derivative of d(p). Find the third derivative of v(x) wrt x.
360*x**2
Let m(u) be the first derivative of 2*u + 3 - 3/2*u**2. Differentiate m(q) wrt q.
-3
Let o = 3 + 0. Find the first derivative of -3*w + 3*w + o*w - 2 wrt w.
3
Let j(w) = 0 + 5*w - w - 10*w**3 + 3 + 9*w**3. Let g be j(-2). Find the first derivative of g*a + 1 - 2 - 1 wrt a.
3
Let d(m) be the second derivative of -m**9/15120 + m**6/360 + m**4/6 - m. Let w(r) be the third derivative of d(r). What is the second derivative of w(s) wrt s?
-12*s**2
What is the second derivative of -93*b**4 + 58*b**4 - 16*b**2 + 16*b**2 + 33*b wrt b?
-420*b**2
Suppose 0 = -v - 2*v + 54. Suppose l = 5*m - v, -3*m - 2*m - l + 12 = 0. Find the second derivative of 2*g**3 - 2*g - g**m + 4*g wrt g.
6*g
Let t(o) = -10*o**2 + 29*o + 5. Let n(j) = -9*j**2 + 28*j + 4. Let m(c) = -5*n(c) + 4*t(c). What is the second derivative of m(x) wrt x?
10
Let f(k) be the third derivative of k**8/280 - k**4/24 + 7*k**3/6 - 3*k**2. Let v(g) be the first derivative of f(g). Find the first derivative of v(i) wrt i.
24*i**3
Let c(x) = -x**3 + 5*x**2 - x + 5. Let m be c(5). Let d be (4*1)/(2 + m). Find the second derivative of 2*z - 3*z - z**2 - d*z**2 wrt z.
-6
Suppose -5*b = j + 3*j - 27, -3*j = 2*b - 15. Differentiate -j + 3 + 2*f + 4 wrt f.
2
Let j(k) = -k + 2. Let l(i) = -18*i**3 - 8*i - 6. Let m(o) = 3*j(o) + l(o). What is the second derivative of m(c) wrt c?
-108*c
Let b = -9 - -13. What is the derivative of -3 + 2*k**2 + 2*k**2 - 2*k**2 - b*k**2 wrt k?
-4*k
Let p(a) = -a**3 - 15*a**2 - 13*a + 16. Let q be p(-14). Find the third derivative of 4*l**4 + 2*l**4 - l**q - 5*l**2 wrt l.
144*l
Let y(h) be the first derivative of 3 - h**2 + 0*h**3 + 0*h**4 + 0*h - 3/5*h**5. Find the second derivative of y(a) wrt a.
-36*a**2
Let q(s) = -s**3 - 7*s**2 - 8*s - 5. Let h be q(-6). Suppose h*i - 42 = 4*i. What is the second derivative of -i - 4*b + 14 + b**3 wrt b?
6*b
Let a(d) be the third derivative of -d**9/126 - d**5/60 - 5*d**2. Find the third derivative of a(l) wrt l.
-480*l**3
Let d(i) be the first derivative of 0*i + 0*i**4 - 4 - 1/3*i**3 + 0*i**2 - 1/5*i**5. What is the third derivative of d(g) wrt g?
-24*g
Let o(z) = -18*z + 2. Let a(c) = -2. Let n(m) = -3*a(m) - o(m). Find the first derivative of n(p) wrt p.
18
Let b(p) = -13*p**2 + 18. Let z(v) = -66*v**2 + 89. Let j(c) = 11*b(c) - 2*z(c). What is the derivative of j(s) wrt s?
-22*s
Let h(x) = 11*x**3 + 6*x + 10. Let j(k) = 120*k**3 + 65*k + 110. Let y(c) = -65*h(c) + 6*j(c). Differentiate y(g) with respect to g.
15*g**2
Let s(z) be the second derivative of -4*z**6/15 + 5*z**4/12 - 2*z. What is the third derivative of s(i) wrt i?
-192*i
Let r(z) = 7*z**4 - 3*z**3 - 3*z - 3. Let k(q) = q**4 - q**3 - q. Let d(n) = 6*k(n) - 2*r(n). Find the first derivative of d(o) wrt o.
-32*o**3
Let u(h) = -h + 3. Let j be u(-3). What is the second derivative of d + j + 3*d**3 - 3 - 3 wrt d?
18*d
Let l = 21 - 18. Differentiate -7 - 6*t**3 + 2*t**l + 9*t**3 wrt t.
15*t**2
Let g(d) = d**3 - 6*d**2 + 8. Let f be g(6). Find the first derivative of 6*o - f*o**3 + 1 - 6*o wrt o.
-24*o**2
Let k(q) = 29*q**4 - 7*q**2 - 50*q - 7. Let i(l) = 15*l**4 - 3*l**2 - 25*l - 3. Let d(x) = -7*i(x) + 3*k(x). Find the second derivative of d(j) wrt j.
-216*j**2
Let j(c) be the first derivative of c**6/120 - c**5/40 + c**3 - 2. Let o(b) be the third derivative of j(b). What is the second derivative of o(m) wrt m?
6
Let q(d) be the third derivative of -d**6/10 - d**5/20 - 8*d**2. What is the third derivative of q(x) wrt x?
-72
Let o(z) be the third derivative of z**9/1512 + z**5/120 + z**3/2 - 2*z**2. Let a(q) be the first derivative of o(q). Find the second derivative of a(y) wrt y.
40*y**3
Let b(v) be the first derivative of 0*v + 2/5*v**5 - 3 + 0*v**3 + 0*v**4 + 1/2*v**2. Find the second derivative of b(d) wrt d.
24*d**2
Let l(q) = q - 2. Let b be l(1). Let a be (-2)/(-6)*(-12)/b. What is the second derivative of 3*f + 11*f**a - 8*f**4 - f wrt f?
36*f**2
What is the second derivative of -6*q**3 - 8*q**3 - 3*q**3 - 2*q**3 - 6*q wrt q?
-114*q
Let f be -2 - (-77)/28 - 3/4. Let t(u) be the second derivative of 0*u**4 + f - 1/6*u**3 + 2*u - 1/10*u**5 + 0*u**2. Find the second derivative of t(z) wrt z.
-12*z
Let h(n) be the first derivative of -4/3*n**3 + 0*n**4 + 0*n + 0*n**2 - 5 + 1/5*n**5. Find the third derivative of h(i) wrt i.
24*i
Let m(g) = -14*g**5 - 2*g**4 - 9*g + 2. Let t(z) = 15*z**5 + 3*z**4 + 9*z - 3. Let o(f) = 3*m(f) + 2*t(f). What is the second derivative of o(x) wrt x?
-240*x**3
Let y(v) = 3*v - 1. Let i be y(1). 