 third derivative of 4*r**4 - 10*r**3 + 3*r**2 + 10*r**k wrt r?
96*r
Let i(v) be the second derivative of -v**4/12 + 5*v**3/2 + 9*v. Find the second derivative of i(w) wrt w.
-2
Let z = -6 + 8. Find the first derivative of -3 + 0*w**z - 4 + 2*w**2 + 5 wrt w.
4*w
Let p be 4 - 3 - (-38)/2. Suppose -i - p = -3*i. What is the second derivative of i*z**3 - 2*z**3 - 6*z**3 + 2*z wrt z?
12*z
Let h(g) = 6*g**3 + g**2 - 4*g - 4. Let j(u) = u**2 - u - 1. Let p(c) = h(c) - 4*j(c). Find the third derivative of p(d) wrt d.
36
Let x(k) be the first derivative of -27*k**5/5 + 5*k**3/3 + 7. Find the third derivative of x(p) wrt p.
-648*p
Let b(u) = 50*u**3 + 9*u**2 - 67*u + 9. Let m(r) = -25*r**3 - 4*r**2 + 33*r - 4. Let j(s) = 4*b(s) + 9*m(s). Find the second derivative of j(x) wrt x.
-150*x
Let m(u) be the second derivative of -u**3/2 - u**2/2 + u. Let r be m(-1). What is the derivative of -j**2 - 4*j**2 + r*j**2 + 2 wrt j?
-6*j
Let u(r) be the second derivative of 0*r**3 + 3*r + 0 - 1/20*r**5 - 1/12*r**4 + 0*r**2. Find the third derivative of u(v) wrt v.
-6
Let v(p) be the second derivative of -p**4/3 - 2*p**3/3 - 3*p. Find the second derivative of v(m) wrt m.
-8
Let c(b) = b**3 - 5*b**2 + 4*b + 4. Let i be c(4). What is the first derivative of -3*s**4 + 10*s**4 + 5 - 16 + i wrt s?
28*s**3
Let j(h) be the second derivative of h**8/1680 + h**6/120 - h**3/3 + 2*h. Let k(g) be the second derivative of j(g). What is the third derivative of k(b) wrt b?
24*b
What is the second derivative of u - u**4 - 8*u + 2*u - 9*u**4 wrt u?
-120*u**2
Suppose f - 13 = 3*c + 4, -4*f + c + 57 = 0. Find the second derivative of f*p - 8*p + p**2 - 7*p wrt p.
2
Suppose g - b = 5, -3*g = b + b. Find the third derivative of -g*u**2 + u**2 - 2*u**2 - 4*u**6 wrt u.
-480*u**3
Suppose 0 = -4*s + 5*s - 1. Suppose 0 = -3*x + x + 6. Differentiate -s + 2 + x*t**4 - 4*t**4 with respect to t.
-4*t**3
Let s be (-1)/2*(-2 + -4). Suppose -3*z + 3 = -s*u, 4*z + 0*u + 2*u - 10 = 0. What is the second derivative of d + 2*d**4 + z*d**3 - 2*d**3 wrt d?
24*d**2
Let l(g) be the third derivative of 5*g**9/252 + 7*g**5/60 + 8*g**2. Find the third derivative of l(k) wrt k.
1200*k**3
Let y(w) = 5*w**5 + 3*w**4 - 3*w**3 + 4*w. Let a(o) = 6*o**5 + 4*o**4 - 4*o**3 + 3*o. Let d(t) = -3*a(t) + 4*y(t). What is the second derivative of d(r) wrt r?
40*r**3
Find the second derivative of -71*g + g**5 + 72*g + 10*g**5 wrt g.
220*g**3
Let t(c) = -c**2 - 4. Let m(q) = -2*q**2 - q - 9. Let i(n) = -4*m(n) + 9*t(n). Let r be i(3). Find the second derivative of 0*s + 2*s**2 - 3*s**2 + r*s wrt s.
-2
Let g = -1 + 4. Find the second derivative of 3*d - 2*d**g + 3*d**3 + d**3 wrt d.
12*d
What is the third derivative of 2*n**2 + 23*n**3 - 13*n**3 + 18*n**3 + n**3 - 5*n wrt n?
174
Let t(m) be the second derivative of -2*m**4/3 + 5*m**3/6 - 33*m. Find the second derivative of t(h) wrt h.
-16
What is the second derivative of 6*n**5 - 36*n - 8*n - 12*n**5 + 4*n**4 + 5*n**5 wrt n?
-20*n**3 + 48*n**2
Suppose 2*y - 7 = -3. Let k(x) = x**2 + 2*x - 3. Let w be k(y). Find the third derivative of 4*f**2 + 3*f**5 + 0*f**w - 2*f**2 wrt f.
180*f**2
Let a(u) be the third derivative of -u**8/112 - u**4/12 - 9*u**2. What is the second derivative of a(m) wrt m?
-60*m**3
Let r(s) be the third derivative of -s**4/8 + s**3/2 - s**2. Find the first derivative of r(d) wrt d.
-3
Let p(z) = z - z**3 + 3*z**4 - z**4 - 2*z**4 + z**4. Let i(c) = 4*c**4 - 3*c**3 + 9*c. Let y(d) = i(d) - 3*p(d). What is the second derivative of y(v) wrt v?
12*v**2
Let t = -14 + -4. Let w = t + 25. What is the derivative of -7 + w*y**3 - 3*y**3 + 1 + 1 wrt y?
12*y**2
Let c = 4 - 2. What is the third derivative of 2 - 2*o**2 + 0*o**2 - c*o**5 - 2 wrt o?
-120*o**2
Let t(k) be the second derivative of 11*k**6/30 + 7*k**3/3 - 13*k. What is the second derivative of t(m) wrt m?
132*m**2
Let h(z) be the second derivative of -z**4/3 - z**3/3 + 7*z. Find the second derivative of h(t) wrt t.
-8
Let h(d) = -3*d - 5. Let f(a) = 10*a + 16. Let r = -5 + 3. Let u(m) = r*f(m) - 7*h(m). Find the first derivative of u(c) wrt c.
1
Let f(x) = 4*x**2 - 2*x + 1. Let l be f(1). Let t = 5 - l. What is the third derivative of -2*j**2 + 2*j**2 + 2*j**5 + j**t wrt j?
120*j**2
Let g(t) be the second derivative of -4*t**4/3 + 4*t**3 + 2*t. Find the second derivative of g(j) wrt j.
-32
Let t(s) be the first derivative of -s**2/2 - 11*s - 5. Differentiate t(d) with respect to d.
-1
Let r(m) = m**3 - 8*m**2 + 10. Let y be r(8). Suppose 0 = -p - 5*n + 8, -2*p + 0*n = 4*n - y. What is the first derivative of -p + 0*i**4 + 2 + 2*i**4 wrt i?
8*i**3
Suppose -5*d - 5 = 5*k, -6*d = -5*k - 2*d - 14. Let p = k - -8. What is the third derivative of 3*a**p - 5*a**6 - 2*a**2 + 0*a**6 wrt a?
-240*a**3
Let x(t) = -2*t - 6. Let f be x(-4). Suppose 0 = -z - 4*p - 8, -p - p = 2*z - f. What is the second derivative of 3 - 3 - n**z - 2*n wrt n?
-12*n**2
Let m(i) be the third derivative of 7*i**5/20 + 11*i**4/12 - 31*i**2. Find the second derivative of m(h) wrt h.
42
Find the second derivative of -42*q**3 + 14*q**3 + 10*q + 18*q**3 wrt q.
-60*q
Let p(i) = i**2 + 1. Let h(c) = -3*c**2 - 2*c - 6. Let m = 8 + -14. Let u(y) = m*p(y) - h(y). Find the second derivative of u(a) wrt a.
-6
Let x be (-1)/(-1)*(-3 - -2). Let q be (1 - 2)*x*1. Differentiate 3*n - 1 + q - 2*n + 3 wrt n.
1
Find the second derivative of -3*v + 18*v**5 - 45*v**5 + 0*v + 17*v wrt v.
-540*v**3
Let d(i) be the second derivative of -i**5 - 3*i**4/2 - 8*i. What is the third derivative of d(q) wrt q?
-120
Let k(v) be the third derivative of v**8/48 - 5*v**4/24 + 8*v**2. What is the second derivative of k(z) wrt z?
140*z**3
Suppose 0*i - 3*i = -18. Differentiate -6*j - i - 1 + 1 with respect to j.
-6
Let v(x) be the first derivative of x**4 - 13*x**2 + 5. Find the second derivative of v(u) wrt u.
24*u
Let i = -15 - -9. Let n(r) be the first derivative of r**2 + 5*r + 1. Let w(x) = 7*x + 19. Let m(t) = i*w(t) + 22*n(t). What is the derivative of m(p) wrt p?
2
Let t(n) = 2*n**2 + 2. Suppose 0 = -0*a - 3*a - 15, 2*p + 17 = -5*a. Let q(j) = -4*j**2 - 3. Let m(o) = p*q(o) + 7*t(o). What is the derivative of m(x) wrt x?
-4*x
Suppose -t - 3 = -9. Find the third derivative of -2*x**2 - 2*x**2 + x**2 + 0*x**6 - 3*x**t wrt x.
-360*x**3
What is the third derivative of -20*q**2 - 6*q**4 - 16*q**4 - 12*q**2 - 3*q**4 + q**5 wrt q?
60*q**2 - 600*q
What is the second derivative of 8*w - 21*w**4 - 15*w**4 + 21*w**4 wrt w?
-180*w**2
Let z(i) be the third derivative of -i**9/5040 + i**5/30 + i**4/4 + 6*i**2. Let t(q) be the second derivative of z(q). What is the derivative of t(w) wrt w?
-12*w**3
Let o(m) be the first derivative of -2*m**5/5 + 5*m**3 - 4. Find the third derivative of o(l) wrt l.
-48*l
Suppose c + 16 = 5*c. Find the third derivative of 0*w**3 - c*w**2 + 4*w**2 - 2*w**3 + 2*w**2 wrt w.
-12
Let i be 6*((-8)/(-6))/4. Suppose 5*x - 5*o + 10 = 0, 0*x - i*o + 8 = 2*x. Differentiate -5 - x + w + 5 with respect to w.
1
Let o be 0/((-3)/3) - -12. What is the derivative of 4 + 1 - 4 - o*l + 15*l wrt l?
3
Let p(g) = -g - 5. Let q be p(-7). Find the third derivative of -3*r**2 - r**2 - r**4 + r**q wrt r.
-24*r
Differentiate -40 - 41 + 28 - 51*x**4 wrt x.
-204*x**3
Let o(j) be the second derivative of j**3/2 - 5*j**2 - 7*j. Differentiate o(d) with respect to d.
3
What is the third derivative of -4*s**5 - s**3 + 6*s**5 + 8*s + s**2 + 3*s**2 wrt s?
120*s**2 - 6
Let k(z) = z**3 - 2*z**2 + 2*z + 1. Let n be k(2). Find the third derivative of 3*w**3 - 3*w**3 + n*w**3 - 3*w**2 - w**2 wrt w.
30
Let m(l) be the second derivative of l**9/5040 + l**6/240 - l**4/4 + 2*l. Let f(k) be the third derivative of m(k). What is the second derivative of f(j) wrt j?
36*j**2
Suppose 6 = 2*q - 4*n - 18, -3*n = 4*q + 7. Differentiate 7*m**3 + 2*m + 6 + 3 - q*m wrt m.
21*m**2
Let h(l) be the third derivative of -l**5/12 - 7*l**4/24 - 7*l**2. Find the second derivative of h(v) wrt v.
-10
Suppose -12 = 4*u - 8*u. What is the first derivative of -u*p**2 + p**2 - 4 + 5 + p**2 wrt p?
-2*p
Let a(q) = -q**2 + 3*q + 1. Let k be a(2). Suppose 4*j = k*h + 20, -4*j + 3*j = h + 2. What is the second derivative of -4*l**2 + l**j + 2*l + 2*l - 3*l wrt l?
-6
Let h(y) be the first derivative of -5*y**4/4 - 22*y + 18.