- -8. What is the second derivative of 3*n**2 + o*n - 5*n**2 - 3*n wrt n?
-4
Let g(h) be the first derivative of -8 - 2/3*h**3 + 0*h**2 + 0*h + 0*h**4 - h**5. Find the third derivative of g(r) wrt r.
-120*r
Let a(w) be the third derivative of -1/48*w**8 + 0*w**3 - 7/60*w**5 + 0*w**4 + 0 + 0*w + 0*w**6 + 9*w**2 + 0*w**7. What is the third derivative of a(i) wrt i?
-420*i**2
What is the second derivative of -4*f**2 - 2*f**2 - 8*f - 3*f**2 + 2*f**2 wrt f?
-14
Let o be 0 - 3/(-6)*-6. Let u be 5/((-2 - o) + 0). Find the second derivative of u*q**3 - 2*q**3 - q**3 + q wrt q.
12*q
Find the third derivative of 19*m**5 - 7*m**5 + 20*m**5 + 4*m**2 wrt m.
1920*m**2
Let i(p) be the first derivative of 2 + 0*p**5 + 2*p**2 - 1/3*p**6 + 0*p**4 + 0*p + 0*p**3. Find the second derivative of i(n) wrt n.
-40*n**3
Let t(h) = h**3 - 9*h**2 + 9*h - 6. Let a be t(8). Let r = 1 + 1. Find the first derivative of 4 - 3*d**r + 0*d**a - 2 wrt d.
-6*d
Let j be (-4)/8 + (-11)/(-2). What is the second derivative of -2*t**5 + 4*t**5 - 4*t**5 + 4*t - j*t wrt t?
-40*t**3
Let i(x) = -8*x**2 + 42*x. Let m(b) = -9*b**2 + 41*b. Let p(z) = 6*i(z) - 5*m(z). Find the second derivative of p(s) wrt s.
-6
Suppose 10 = 2*l - 0*l. Let u = -3 + 8. What is the second derivative of 0*w**5 - 2*w**u + 0*w**l + 2*w wrt w?
-40*w**3
Let v(y) be the second derivative of -y**4/2 + 4*y**3/3 + 4*y. What is the second derivative of v(s) wrt s?
-12
Let h = -5 + 2. Let u be (-82)/(-8) - h/(-12). What is the second derivative of 0*y + 6*y**5 - u*y**5 + 2*y wrt y?
-80*y**3
Suppose 50 = 5*v + 5*d, -v + 2*d - d + 2 = 0. Find the third derivative of -4*c**2 + 2*c**2 + 0*c**6 - 3*c**v + 0*c**6 wrt c.
-360*c**3
Let k(a) be the second derivative of -3*a**5/20 - a**4/2 + 6*a. What is the third derivative of k(v) wrt v?
-18
Suppose -7 + 1 = -2*g. Let a(t) be the second derivative of 1/10*t**5 - 2*t + 0*t**2 + 0 + 0*t**4 + 1/3*t**g. Find the second derivative of a(y) wrt y.
12*y
Suppose -4*v = -2*z - 18, -3*v - 2*v + 2*z = -23. Find the third derivative of -y - 3*y**3 - 5*y - v*y**2 + 6*y wrt y.
-18
Let m be ((-3)/3)/((-1)/9). Let y = m + -7. What is the second derivative of v - 2*v**2 - y*v + 3*v**2 + 2*v wrt v?
2
Let c(z) = z**3 - 2*z**2 - z - 3. Let n(s) = s**3 - 6*s**2 + 5*s + 3. Let i be n(5). Let y be c(i). Find the third derivative of 3 - w**3 - y - 2*w**2 wrt w.
-6
Let i(a) = -2*a**4 - 10*a**3 + 4*a**2 + 16*a - 4. Let v(t) = t**3 + t**2 - 1. Let w(d) = i(d) - 4*v(d). Find the second derivative of w(q) wrt q.
-24*q**2 - 84*q
Suppose 5*l = 9 + 16. Let y(p) be the first derivative of -l*p - 2*p**2 + 1 + 3*p + 0*p. What is the first derivative of y(s) wrt s?
-4
Let h be 0 + 1 + -5 + 2. Suppose -2*f = -3*f - 6. Let u(b) = -b**2 + 3*b + 1. Let q(j) = -j. Let r(a) = f*q(a) + h*u(a). Differentiate r(w) wrt w.
4*w
Find the first derivative of 28*o**2 + 15 + 10 - 42 - 3 wrt o.
56*o
Let q = -10 - -14. What is the first derivative of 0 + 4*p**3 + 6*p**q - 4 - 4*p**3 wrt p?
24*p**3
Let h(g) be the first derivative of -g**7/420 - g**4/24 - g**3/3 - 2. Let p(b) be the third derivative of h(b). Find the first derivative of p(x) wrt x.
-6*x**2
What is the third derivative of -4*u**3 + 6 - 6 - 3*u**2 wrt u?
-24
Differentiate -j**2 + 20 - 14*j**4 + 29*j**2 + 12*j**4 + 0*j**4 with respect to j.
-8*j**3 + 56*j
Let n(x) = -13*x - 7. Let p(t) = 14*t + 6. Let s(r) = 4*n(r) + 3*p(r). Differentiate s(m) with respect to m.
-10
Let r be 18/10 - 4/(-20). Find the third derivative of -3*l**2 + 2*l**2 + l**6 - r*l**2 wrt l.
120*l**3
Let p be 105/(-6)*6/(-5). What is the first derivative of -26 + p + 3*c**2 - c**2 wrt c?
4*c
What is the derivative of -1125*f - 3 + 1141*f + 14 wrt f?
16
Suppose -5*w = -3*h - 47, -3*h - 18 = -w + 1. Find the first derivative of -3*t**2 + w*t**2 + 2*t**2 - 3 - 2 wrt t.
12*t
Let d(c) be the first derivative of 3 - 3*c**3 + 2/5*c**5 + 0*c**4 + 0*c**2 + 0*c. Find the third derivative of d(m) wrt m.
48*m
Differentiate 598*x**3 - 35*x**4 - 598*x**3 + 2 wrt x.
-140*x**3
Let c(g) be the second derivative of -5*g**3/3 + 5*g**2 - 10*g. Differentiate c(f) wrt f.
-10
Let a(d) be the second derivative of d**3/6 - 19*d**2/2 + 5*d. Let n(h) = 10. Let v(k) = 3*a(k) + 5*n(k). Differentiate v(g) with respect to g.
3
Let d(p) = -p**2 + p + 1. Suppose 0 = -3*u + 1 - 4. Let f(t) = -4*t**2 - t + 1. Let l(a) = u*f(a) + d(a). What is the second derivative of l(n) wrt n?
6
Suppose 10*z = 12*z - 10. What is the second derivative of 3*w**2 - w + z*w - 3*w wrt w?
6
Let c(y) = y - 7. Let o be c(5). Let h be (-8)/(-6)*(-3)/o. Find the second derivative of 2 - h + 3*q - 2*q**2 wrt q.
-4
Let l(c) be the second derivative of -1/10*c**5 + 0*c**2 + 0*c**4 + 0 + 2*c - 1/6*c**3. Find the second derivative of l(v) wrt v.
-12*v
Let s(g) be the second derivative of -23*g**7/42 - 7*g**4/12 - 10*g. What is the third derivative of s(k) wrt k?
-1380*k**2
Let u be (-1)/(10/8)*-5. What is the second derivative of 2*p + 2*p**2 - 2*p + u*p wrt p?
4
Let z(b) be the first derivative of -43*b**3/3 - 39*b + 5. What is the first derivative of z(j) wrt j?
-86*j
Let u(n) be the third derivative of -11*n**6/40 + n**4/12 - 33*n**2. What is the second derivative of u(h) wrt h?
-198*h
Let d(h) = 81*h**4 + 108*h**3 - 135*h**2 + 108. Let c(j) = -j**4 - j**3 + j**2 - 1. Let g(v) = 108*c(v) + d(v). Find the third derivative of g(z) wrt z.
-648*z
Suppose r - 4*n = -2*r - 8, 4 = 2*n. Suppose 5*f - 5 = 3*k, -k + 6 - 1 = 5*f. What is the derivative of -f + r + 4*l + 0 wrt l?
4
Let b(z) be the first derivative of 4*z**7/21 - z**3 - z - 2. Let r(f) be the first derivative of b(f). Find the second derivative of r(d) wrt d.
160*d**3
Let z(d) be the first derivative of d**6/2 - 15*d**4/4 - 2*d**3/3 - 2*d - 46. What is the third derivative of z(i) wrt i?
180*i**2 - 90
Suppose 3*c = 47 + 4. Suppose o - 4*l - 8 = 0, -3*o + 5*l = -0*o - c. What is the first derivative of -12 - 2*g + 10 + o*g wrt g?
2
Let w be 11/33 - 1/3. Let l(j) be the second derivative of 2*j + w*j**3 + 0*j**2 + 3/20*j**5 + 1/6*j**4 + 0. What is the third derivative of l(r) wrt r?
18
Let a(q) = 5*q**5 - 46*q**3 + q**2 + 4*q + 3. Let w(m) = m**5 + m**2 - m + 1. Let r(z) = a(z) - 3*w(z). Find the third derivative of r(k) wrt k.
120*k**2 - 276
Let u(b) = b**6 - b**5 + b**2 - 1. Let f(y) = -20*y**6 + 10*y**5 - 12*y**2 + 10. Let c(a) = -2*f(a) - 20*u(a). What is the third derivative of c(z) wrt z?
2400*z**3
Let y be (-80)/(-12) + 4/(-6). Suppose -6*g = -3*g - y. Find the third derivative of k - k + g*k**3 + k**2 wrt k.
12
Let z(r) be the second derivative of 0*r**3 + 0 + 0*r**2 + 0*r**7 + 0*r**6 - 7*r + 3/56*r**8 + 0*r**5 + 1/2*r**4. Find the third derivative of z(a) wrt a.
360*a**3
Let x = -3 + 5. Find the third derivative of s**x + 0*s**2 - 2*s**4 + 0*s**2 wrt s.
-48*s
Let g be (-2)/4*-3*4. Let f = g - 2. Find the second derivative of -d + 2*d + 6*d**f + 3*d - 5*d**4 wrt d.
12*d**2
Let p(r) = -r**4 - 3*r**3 - 3*r**2 - 3*r. Let o(l) = -2*l**4 - 2*l**3 - 2*l**2 - 2*l + 1. Let n(d) = -3*o(d) + 2*p(d). What is the derivative of n(a) wrt a?
16*a**3
Let c = 22 + -19. Let h(a) be the third derivative of a**2 + 0*a**4 + 1/3*a**c - 1/60*a**5 + 0*a + 0. Find the first derivative of h(o) wrt o.
-2*o
Let f = 22 + -22. Let s(z) be the second derivative of f*z**2 + 0*z**3 + 1/12*z**4 - 1/15*z**6 - z + 0*z**5 + 0. What is the third derivative of s(c) wrt c?
-48*c
Let t(k) be the second derivative of -k**4/12 - 3*k**3 + 37*k**2/2 + 5*k. What is the derivative of t(y) wrt y?
-2*y - 18
Let b be (4 + -1)/(12/16). Suppose -2*p = -a - 6, -5*a + 30 + 0 = 2*p. Find the second derivative of -f + f**b + p*f - f wrt f.
12*f**2
Let b(i) = -2*i**4 + 6*i**3 + 6*i**2 + 14*i. Let c(d) = d**4 - 5*d**3 - 5*d**2 - 14*d. Let s(a) = 5*b(a) + 6*c(a). Find the second derivative of s(q) wrt q.
-48*q**2
Let p(m) = -5*m**4 + 3*m**3 + 7*m**2 + 3. Let h(t) = -9*t**4 + 5*t**3 + 14*t**2 + 5. Let i(o) = -3*h(o) + 5*p(o). What is the third derivative of i(g) wrt g?
48*g
Let d(j) = 11*j**2 - 12*j. Let s(m) = -12*m**2 + 12*m. Let c(o) = -4*d(o) - 5*s(o). What is the second derivative of c(g) wrt g?
32
Let l(d) = -d**3 + 9*d**2 + 9*d - 3. Let z(n) = -n**2 - n. Let w(x) = 2*l(x) + 18*z(x). Differentiate w(v) with respect to v.
-6*v**2
Let v(o) = 17*o**4 + 5*o