2
Let j(v) be the first derivative of -4*v**2 + 3*v + 5. Differentiate j(f) wrt f.
-8
Let u(y) be the second derivative of 4*y**6/15 + 7*y**4/12 + 15*y. Find the third derivative of u(w) wrt w.
192*w
Let c(w) be the third derivative of 2*w**2 + 0*w - 1/2*w**3 - 1/8*w**4 + 0. Differentiate c(i) with respect to i.
-3
Let f(i) be the third derivative of i**7/105 - 4*i**3/3 - 3*i**2. Find the first derivative of f(t) wrt t.
8*t**3
Let z(b) = -15*b**3 + 2*b**2 + 13*b - 2. Let d(f) = 16*f**3 - 3*f**2 - 12*f + 3. Let r(p) = 2*d(p) + 3*z(p). Find the second derivative of r(a) wrt a.
-78*a
Let o = -30 - -30. Let h be (-2)/(1 + (-5)/3). What is the first derivative of -3*a - 2*a**h + o - 2 + 3*a wrt a?
-6*a**2
Suppose -1 = 2*i + 3. Let n = i - -2. Differentiate -t**4 + 1 + 0 + n*t**4 wrt t.
-4*t**3
What is the third derivative of 15*k**6 - 19*k**3 + 9*k**2 + 19*k**3 wrt k?
1800*k**3
Let r(f) = -4*f**5 - 3*f**4 - 4*f**3 + 52*f**2 - 4. Let c(p) = -p**4 + p**3 - 2*p**2 + 1. Let j(o) = 4*c(o) + r(o). What is the third derivative of j(a) wrt a?
-240*a**2 - 168*a
Let p(y) be the third derivative of 0*y**5 - 5/24*y**4 + 0*y + 0*y**3 + 0 + 0*y**6 - 5*y**2 - 1/105*y**7. Find the second derivative of p(b) wrt b.
-24*b**2
Suppose -3*m - 2 - 1 = 0. Let v be (4/(-10))/(m/5). Find the third derivative of 4*u**2 + 7*u**4 - 4*u**4 - 2*u**v wrt u.
72*u
Let q = 3 + 2. Find the third derivative of -y**q + 13*y**2 + y**5 - 4*y**6 - 9*y**2 wrt y.
-480*y**3
Let r(q) be the second derivative of 0*q**5 + 2*q + 0 + 1/3*q**3 + 0*q**2 + 0*q**4 + 1/30*q**6. What is the second derivative of r(j) wrt j?
12*j**2
What is the first derivative of 417*y + 37*y**2 - 417*y + 7 wrt y?
74*y
Let x(m) be the first derivative of 0*m**2 - 2 + 1/3*m**3 + 4*m. What is the first derivative of x(t) wrt t?
2*t
Suppose 0 = 2*h - 5*h. Suppose 2*z + 0 - 6 = h. Find the second derivative of 3*w**4 + 2*w**4 - z*w**4 - 2*w wrt w.
24*w**2
Let r(a) = -a - 1. Let y(f) = 2*f - 5 + 4 - 8*f + f. Let d(k) = 6*r(k) - 2*y(k). Differentiate d(p) with respect to p.
4
Let g(z) = -2*z - 6. Let h be g(-5). Find the second derivative of -8*v**h + 5*v**4 - 7*v - 1 + 1 wrt v.
-36*v**2
Let k(r) = 52*r**3 + 7*r**2 + 67. Let f(l) = -26*l**3 - 3*l**2 - 34. Let u(s) = 7*f(s) + 3*k(s). Differentiate u(p) with respect to p.
-78*p**2
What is the second derivative of 10*a - 4*a**5 - 4*a**2 + a**2 - 16*a wrt a?
-80*a**3 - 6
Suppose 5 = 5*u + 5*g, 2*u = u - 3*g - 3. Differentiate -3*h**3 + 5*h**u + 4 - 3 with respect to h.
6*h**2
Find the third derivative of 9136*y**4 - 2*y**5 - 9136*y**4 - 53*y**2 - y**3 wrt y.
-120*y**2 - 6
Suppose 0 = 4*f - 10 - 2. Suppose -27 = -4*r - f. What is the second derivative of 5*o**4 - 2*o + o**4 + 3*o**5 - r*o**4 wrt o?
60*o**3
Find the second derivative of -14*d + d - 10*d**3 - 28*d + d**3 wrt d.
-54*d
Let j(i) be the second derivative of -3/20*i**5 + 0 - 1/6*i**3 + 0*i**2 + 0*i**4 - 4*i. Find the second derivative of j(v) wrt v.
-18*v
Find the third derivative of -7120 + 7120 + 64*a**3 - 4*a**2 wrt a.
384
Suppose 4*l - 2*l - 6 = 0. What is the second derivative of -i**3 + 4 - 4 + 8*i + 5*i**l wrt i?
24*i
Let x(b) be the third derivative of b**4/4 - b**3 - 8*b**2. Differentiate x(u) with respect to u.
6
What is the second derivative of -12*b**5 - 10*b + 18*b**5 - 7*b**5 wrt b?
-20*b**3
Let b(c) be the third derivative of -c**5/6 + 2*c**3/3 - 10*c**2. Differentiate b(t) wrt t.
-20*t
Suppose 5*h = -8*h. Let w(i) be the first derivative of -1/6*i**6 + h*i + 0*i**5 - 5 + 0*i**4 + 0*i**3 + i**2. What is the second derivative of w(l) wrt l?
-20*l**3
Let c be (-10)/(-4) - 4/8. Let x(b) be the first derivative of -b**3 + 0*b**c + 0*b - 2 + 0*b**4 + 1/5*b**5. Find the third derivative of x(i) wrt i.
24*i
Let i be (-8)/4 - 9/(-3). What is the first derivative of -5 + 5 + 0 + v**3 - i wrt v?
3*v**2
Let y(w) be the second derivative of 0 + 1/6*w**3 + 0*w**5 - w + 0*w**6 + 0*w**2 + 5/42*w**7 + 0*w**4. Find the second derivative of y(a) wrt a.
100*a**3
Let k(x) = x**2 - 8*x + 9. Let o be ((-6)/(-9))/((-4)/(-42)). Let q be k(o). Differentiate -3*d**2 - 2 + d**q + 3 with respect to d.
-4*d
Suppose -2*k + 6 = -0*k. Let o = k + 3. Find the second derivative of -2*w**5 - 4*w + o*w**5 + w wrt w.
80*w**3
Let u(f) be the third derivative of 0*f**3 + 2*f**2 - 1/20*f**5 + 0*f - 1/12*f**4 + 0. What is the second derivative of u(g) wrt g?
-6
Let q(p) = 10*p**2 + 1. Let r(j) = 9*j**2 + 2. Let k(m) = 5*q(m) - 6*r(m). What is the first derivative of k(v) wrt v?
-8*v
Let r(m) be the third derivative of -19*m**6/60 + m**5/2 - 40*m**2. Find the third derivative of r(d) wrt d.
-228
Let u(c) be the second derivative of -7*c**6/120 - 3*c**5/20 + 7*c**2/2 + c. Let h(v) be the first derivative of u(v). Find the third derivative of h(y) wrt y.
-42
Find the second derivative of -3*f**3 - 11*f + f**3 - f wrt f.
-12*f
Find the third derivative of 16*u**2 - u - 61*u**5 + u + 12*u**2 wrt u.
-3660*u**2
Let j(p) = 2*p**4 - 4*p**2 + 4*p - 7. Let x(q) = -6*q**2 - 24 + 4*q**4 + 9*q - 3*q**2 + 9. Let n(d) = 9*j(d) - 4*x(d). What is the derivative of n(w) wrt w?
8*w**3
Let p(a) = 4*a**2 + 3*a - 1. Let w(t) = -t**2 - t + 1. Suppose -5*r + 7 - 2 = 0. Let y(l) = r*w(l) + p(l). Find the second derivative of y(g) wrt g.
6
Let k = 20 + -18. What is the second derivative of 2*t - k*t + 5*t + 7*t**5 wrt t?
140*t**3
Let w(z) be the third derivative of 5*z**7/42 - 13*z**5/30 - 9*z**2. What is the third derivative of w(u) wrt u?
600*u
Let u(j) be the second derivative of -1/2*j**2 + 0 - 1/3*j**3 - 1/8*j**4 - 2*j. Let d(g) be the first derivative of u(g). Differentiate d(w) with respect to w.
-3
Let n(s) be the first derivative of 8 - 7/3*s**3 + 0*s - 4*s**2. Find the second derivative of n(y) wrt y.
-14
Let a = -9 + 6. Let b be -6*(a/2 + 1). Find the second derivative of -3*y**5 + 2*y - b*y**5 + 5*y**5 wrt y.
-20*y**3
What is the third derivative of -5*p**2 + 16*p**2 - 4*p**3 - 21*p**3 wrt p?
-150
What is the third derivative of 17*k**2 - 10*k**5 + 8*k + 0*k**5 - 8*k wrt k?
-600*k**2
Let u(o) be the first derivative of o**8/112 + o**5/60 - o**2 - 3. Let z(r) be the second derivative of u(r). What is the third derivative of z(d) wrt d?
180*d**2
Let m(z) = z**3 + z**2 + z - 1. Let h(y) = y - 1. Suppose 0*k = -4*k + 8. Let p(n) = k*h(n) - 2*m(n). Find the third derivative of p(u) wrt u.
-12
What is the second derivative of -5*t**5 - 16*t**5 + 30*t - 12*t + 14*t wrt t?
-420*t**3
Let v(x) = -x**5 - x**4 - x**3 - x. Let f(t) = 13*t**5 - 4*t**4 - 4*t**3 - 42*t**2 - 4*t. Let l(w) = f(w) - 4*v(w). Find the third derivative of l(d) wrt d.
1020*d**2
Let r(b) be the second derivative of -b**6/120 - b**3/2 - 3*b**2/2 + b. Let j(u) be the first derivative of r(u). Differentiate j(p) wrt p.
-3*p**2
Let u(k) be the third derivative of k**8/16 - 7*k**4/6 + 34*k**2. What is the second derivative of u(y) wrt y?
420*y**3
Let b(c) be the third derivative of 0*c**6 - 1/84*c**8 + 0*c - 1/6*c**4 + 0 + 6*c**2 + 0*c**5 + 0*c**7 + 0*c**3. Find the second derivative of b(f) wrt f.
-80*f**3
Suppose 4*l = -0 + 16. Let q(b) be the second derivative of 0*b**l - 1/15*b**6 + 0*b**5 + b + 1/2*b**2 + 0 + 0*b**3. What is the derivative of q(u) wrt u?
-8*u**3
Let r(b) = -b**3 - 8*b**2 + 10*b + 9. Let l be r(-9). Suppose 6 = -l*i + i. What is the third derivative of -f**2 - 3*f**6 - 3*f**2 + 2*f**i wrt f?
-120*f**3
What is the second derivative of -11*b**2 - 26*b**2 + 14*b + 0*b**2 - 24*b wrt b?
-74
Suppose -15 = -2*h - h. Let f(z) = z - 2. Let r(w) = w - 1. Let k(v) = h*r(v) - 3*f(v). What is the first derivative of k(t) wrt t?
2
Let b(t) = -109*t**3 + 7*t**2 + 43*t - 4. Let h(k) = -36*k**3 + 2*k**2 + 14*k - 1. Let f(l) = -2*b(l) + 7*h(l). Find the second derivative of f(x) wrt x.
-204*x
Let l(d) be the second derivative of -2*d**7/21 + d**3/2 + 3*d. What is the second derivative of l(o) wrt o?
-80*o**3
Let b(n) be the third derivative of -n**7/420 + 7*n**4/24 - n**3/3 - 5*n**2. Let m(k) be the first derivative of b(k). Find the first derivative of m(c) wrt c.
-6*c**2
Let l(y) = -y - 1. Let a(r) = 14*r**4 + 1. Let t(v) = a(v) + l(v). Find the second derivative of t(q) wrt q.
168*q**2
Let q(k) be the second derivative of -3*k**5/5 + k**4/2 - 7*k. Find the third derivative of q(u) wrt u.
-72
Let