 m + 8*m + 15*m**4 wrt m?
300*m**2
Suppose -5*d + 110 = 20. Let r = d + -10. What is the third derivative of 4*l**2 - 8*l**3 + 3*l**4 + r*l**3 wrt l?
72*l
Find the third derivative of -11*k**2 - 2*k**3 - 4*k**3 + 10*k**2 wrt k.
-36
Let s be 1/14 - 6/(-14). Let d(u) be the second derivative of 0*u**5 + u - s*u**2 + 0*u**4 - 1/15*u**6 + 0 + 0*u**3. Differentiate d(i) with respect to i.
-8*i**3
Let x(v) = -6*v - 4. Suppose 0 - 4 = 2*i. Let z(g) = -g - 1. Let s(w) = i*x(w) + 10*z(w). Find the first derivative of s(c) wrt c.
2
Suppose -4*b + 3*j + 8 = b, -5*b + 5*j = 0. Suppose -z + 6 = b. What is the second derivative of 4*i - 2*i**z + 2*i - 5*i wrt i?
-4
Let l(o) be the third derivative of o**6/90 - o**4/12 + o**3/3 - o**2. Let y(p) be the first derivative of l(p). What is the first derivative of y(a) wrt a?
8*a
Let j(c) be the third derivative of -c**9/18 + 7*c**5/20 - 22*c**2. Find the third derivative of j(x) wrt x.
-3360*x**3
What is the second derivative of 6*z**4 - 4*z**4 - 2*z**4 + 2*z**4 - 7*z wrt z?
24*z**2
Let h(p) be the third derivative of -p**8/42 - p**5/60 + 6*p**2. Find the third derivative of h(m) wrt m.
-480*m**2
Let y = 14 - 11. Let j(c) be the third derivative of 0 - 1/8*c**4 - c**2 + 0*c + 0*c**y - 1/30*c**5. Find the second derivative of j(l) wrt l.
-4
Let p(i) be the third derivative of i**7/210 - 2*i**3/3 + 8*i**2. What is the first derivative of p(d) wrt d?
4*d**3
What is the first derivative of -a**2 + 1 - a**2 + 3 - 2 wrt a?
-4*a
Let z = -19 + 10. Let x = -5 - z. What is the third derivative of -2*s**4 - 2*s**6 + 2*s**2 + 2*s**x wrt s?
-240*s**3
Suppose 3*g + 1 = 4*g. Differentiate g - 2*w + 0 - 2*w - 2*w with respect to w.
-6
Let s(f) be the first derivative of f**5/20 - f**4/6 - 5*f**2/2 - 3. Let q(m) be the second derivative of s(m). Find the second derivative of q(k) wrt k.
6
Let n(j) be the first derivative of -j**4/2 - 5*j**3/6 + 8*j + 2. Let w(s) be the first derivative of n(s). Find the second derivative of w(o) wrt o.
-12
Let f(k) = -18*k**3 + 129*k**2 - 7*k - 7. Let w(h) = -6*h**3 + 43*h**2 - 2*h - 2. Let q(i) = -2*f(i) + 7*w(i). What is the third derivative of q(p) wrt p?
-36
Let j(k) = -k**3 - 5*k**2 + 5*k - 3. Let f be j(-6). Let v = f - 0. Differentiate -3 - 2 + 6 + v*o**3 wrt o.
9*o**2
Let u(q) be the third derivative of -1/60*q**6 + 0*q**4 - 2/3*q**3 + 0*q**5 - 6*q**2 + 0*q + 0. Differentiate u(x) wrt x.
-6*x**2
Suppose -8 = 3*t - 4*g - 2, -5 = 2*t - 3*g. What is the first derivative of o**t + 0*o + 0*o - 6 wrt o?
2*o
Suppose -2*t + t + 4*w = 5, -5*t - 25 = 4*w. Let x be ((-12)/15)/(2/t). Find the third derivative of -3 - 2*i**2 + 3 + x*i**3 wrt i.
12
Let u(g) = -g**2 + 2*g - 7. Let m(j) = 3*j**2 - 2*j**2 - j + 3*j**2 - 3*j**2 + 1. Let f(k) = -2*m(k) - u(k). What is the first derivative of f(x) wrt x?
-2*x
Let w be 15/4 + 7/28. Find the third derivative of -2*l**4 - l**w - l**4 - l**2 wrt l.
-96*l
Let z(w) = 3*w**2 + 2*w - 1. Let k(v) = 5*v**2 + 5*v - 1. Let q(u) = -2*k(u) + 5*z(u). Differentiate q(n) with respect to n.
10*n
Let i(f) be the third derivative of f**5/12 - 2*f**3 + 4*f**2. Differentiate i(j) wrt j.
10*j
Find the second derivative of 30*j + 8*j**5 + 2*j + 6*j**5 + 9*j**5 wrt j.
460*j**3
Let k = 3 - 1. What is the first derivative of 2*g + 2 + 2 - k*g + g wrt g?
1
Let q(y) be the second derivative of -y**6/120 + y**5/12 - 2*y**2 + 8*y. Let l(x) be the first derivative of q(x). Find the third derivative of l(p) wrt p.
-6
Let n(r) be the third derivative of 0*r**6 + 1/12*r**4 + 0 + 0*r**3 + 0*r + 0*r**5 - 1/70*r**7 - 5*r**2. Find the second derivative of n(s) wrt s.
-36*s**2
Let y = 7 - 6. Suppose -3 = -x - y. What is the first derivative of -4 + 2 + 4 + 2*z**x wrt z?
4*z
Let n = 6 + -4. Find the third derivative of 0*q - 11*q**4 + 3*q**n + 4*q**4 + 0*q wrt q.
-168*q
Let t(o) = 7*o**3 - 51*o**2 + 5. Let d(r) = -8*r**3 + 52*r**2 - 6. Let i(w) = 5*d(w) + 6*t(w). Find the third derivative of i(c) wrt c.
12
Let z(w) be the first derivative of -w**9/252 - w**5/30 + w**2 - 3. Let h(c) be the second derivative of z(c). Find the third derivative of h(q) wrt q.
-240*q**3
What is the second derivative of -3*u**5 - u - 26*u + 23*u**5 wrt u?
400*u**3
Let u(m) be the third derivative of 11*m**7/210 - m**5/12 + 6*m**2. What is the third derivative of u(f) wrt f?
264*f
Let g(b) be the second derivative of -2*b**5/5 - 4*b**2 - b. What is the first derivative of g(c) wrt c?
-24*c**2
Let r(c) = -c**3 + c**2 - c. Let y(a) = 10*a**2 - 5*a - 3 - 8*a**3 - 4*a**3 + 3. Let s(z) = 5*r(z) - y(z). What is the third derivative of s(j) wrt j?
42
Let p(d) be the second derivative of d**4/4 + d**3/6 - 3*d. Let r(h) = 48*h**2 + 15*h. Let f(w) = 33*p(w) - 2*r(w). Find the second derivative of f(c) wrt c.
6
What is the derivative of -4*i**3 + 4 + 2*i**3 + 5*i**3 - 3 wrt i?
9*i**2
What is the second derivative of 3*y - 29*y**3 - 5*y**2 + 23*y**2 - 18*y**2 wrt y?
-174*y
Let v(p) = -84*p**5 + 32*p**2 - 9*p + 9. Let d(f) = 21*f**5 - 8*f**2 + 2*f - 2. Let a(j) = 9*d(j) + 2*v(j). Find the third derivative of a(y) wrt y.
1260*y**2
Let g(c) be the third derivative of 0*c**7 + 6*c**2 + 0 - 1/12*c**5 + 0*c**3 + 0*c**4 + 0*c**6 + 0*c + 1/84*c**8. Find the third derivative of g(z) wrt z.
240*z**2
Suppose -6*o - 60 = -8*o. Find the second derivative of -o*l + 65*l - 40*l + 7*l**4 wrt l.
84*l**2
Let k(a) be the second derivative of -a**4/6 - 7*a**3/6 + a. Let c(p) = -p**2 + p. Let r(n) = 2*c(n) + k(n). Find the second derivative of r(b) wrt b.
-8
Find the second derivative of 24*w - w**4 - 45 + 21*w + 45 wrt w.
-12*w**2
Let i(p) be the first derivative of 0*p**5 + 0*p + 5/6*p**6 + 0*p**2 + 1 + p**3 + 0*p**4. What is the third derivative of i(c) wrt c?
300*c**2
Let a(b) = -5*b**3 + 2*b - 7. Let n(q) = q**3 + q - 1. Let c(l) = -a(l) + 2*n(l). What is the first derivative of c(m) wrt m?
21*m**2
Find the third derivative of g - 160*g**5 - 23*g**2 + 132*g**5 - g wrt g.
-1680*g**2
Find the second derivative of -1 - 7*o**4 - o + 4 - 3 wrt o.
-84*o**2
Let v(q) be the second derivative of -q**5/120 + q**4/6 - q**3/6 - q. Let h(c) be the second derivative of v(c). Differentiate h(s) wrt s.
-1
Differentiate -23 + 23 + 5*w - 19*w + 13 wrt w.
-14
Find the third derivative of -3*k**4 - 14*k**5 + 11*k**5 + 3*k**4 - 3*k**2 wrt k.
-180*k**2
Let y(n) be the first derivative of 29*n**6/6 - 13*n**2/2 - 27. What is the second derivative of y(l) wrt l?
580*l**3
Let v(q) be the first derivative of q**6/6 - 14*q**5/5 - 11*q**2 + 42. Find the second derivative of v(w) wrt w.
20*w**3 - 168*w**2
Suppose 3*u = -0*u + 36. What is the first derivative of o + 3*o**2 - o + u - 9 wrt o?
6*o
Let a(p) = p**3 + 4*p**2 - 2*p - 6. Let i be a(-4). Let q(x) = 2*x**2 - 4*x + 2. Let l be q(2). What is the derivative of t**2 - i*t**l + 0*t**2 + 2 wrt t?
-2*t
Let u(a) = 10*a**4 + 10. Let h(q) = 6*q + q**4 - 6*q + 2 - 1. Let s(g) = -36*h(g) + 4*u(g). What is the first derivative of s(p) wrt p?
16*p**3
Let f be (-144)/(-66) - (-4)/(-22). Find the third derivative of t**2 - 4*t**f - t**2 + t**5 wrt t.
60*t**2
Find the third derivative of -5*h**6 - 16*h**2 - 6*h**2 - 2*h**6 + 0*h**6 wrt h.
-840*h**3
Let s be (-4 - (-3)/2)*6/(-5). Let a(n) be the second derivative of -n + 0 + 2*n**2 + 1/3*n**s. Differentiate a(v) with respect to v.
2
Find the second derivative of -8*m - 8*m**2 - 18*m - m wrt m.
-16
Let b(f) be the second derivative of 11*f**4/12 - 7*f**3/6 + f. What is the second derivative of b(u) wrt u?
22
Let f(x) = -x + 10. Let s be f(7). What is the second derivative of p**3 + 3*p - p**3 + 3*p**s - 5*p**3 wrt p?
-12*p
Suppose 2 = 3*l - n - 9, -n - 5 = 0. Let a(o) be the second derivative of 1/6*o**4 + o - 1/6*o**3 + 0*o**l + 0. What is the second derivative of a(h) wrt h?
4
Let q(h) be the third derivative of h**2 + 0*h + 0 - 1/24*h**4 + 0*h**5 - 1/30*h**7 + 0*h**3 + 0*h**6. Find the second derivative of q(b) wrt b.
-84*b**2
Let v(y) be the first derivative of 0*y + 0*y**2 + 2/3*y**3 - 3/4*y**4 - 2. Find the third derivative of v(t) wrt t.
-18
Let x(z) be the third derivative of 7*z**5/30 + 5*z**3/6 + 6*z**2. What is the derivative of x(f) wrt f?
28*f
Let w(s) = s**3 - s**2 - 4*s - 1. Let p be w(3). What is the third derivative of 4*k**2 + p*k**4 - k**4 + 3*k**2 - k**2 wrt k?
96*k