derivative of i(w) wrt w.
-36*w
Let c(b) be the first derivative of b**4/4 + 7*b - 13. Find the first derivative of c(k) wrt k.
3*k**2
Let o = 40 - 35. Let h(w) be the second derivative of 0*w**2 - 3*w - 1/10*w**o + 0*w**4 + 0 - 1/6*w**3. Find the second derivative of h(y) wrt y.
-12*y
Let r(k) = -34*k**3 - k + 8. Let n(a) = -23*a**3 - a + 5. Let c(i) = -8*n(i) + 5*r(i). Find the second derivative of c(q) wrt q.
84*q
Let p = 4 + -1. Let i(x) be the first derivative of 1/4*x**4 - 2*x + 1 + 0*x**p + 0*x**2. Differentiate i(m) with respect to m.
3*m**2
Let g be 1/3 - (-17)/3. Find the third derivative of 15*b**2 + 4*b**g - 12*b**2 - 2*b**6 wrt b.
240*b**3
Let f(m) be the third derivative of -31*m**9/504 - 13*m**5/30 + 18*m**2. What is the third derivative of f(b) wrt b?
-3720*b**3
Find the third derivative of u**6 - u**6 + 11*u**2 + 8*u**6 + 4*u**6 wrt u.
1440*u**3
Let u(t) = t**3 - t**2 + t - 1. Let l(b) = -8*b**3 + 6*b**2 + 2*b - 2. Let o(q) = -l(q) + 2*u(q). What is the third derivative of o(x) wrt x?
60
Let c(r) be the first derivative of 0*r**4 + r**3 + 0*r**6 + 0*r**2 + 4/7*r**7 + 0*r**5 + 3 + 0*r. What is the third derivative of c(x) wrt x?
480*x**3
Let h(y) be the third derivative of -y**9/15120 - y**6/720 + y**5/30 - 2*y**2. Let q(s) be the third derivative of h(s). Differentiate q(l) wrt l.
-12*l**2
Let o(u) = -11*u**4 + 5*u**2 + 5*u - 2. Let a(n) = 12*n**4 - 6*n**2 - 6*n + 2. Let y(j) = -5*a(j) - 6*o(j). What is the first derivative of y(i) wrt i?
24*i**3
Let d(b) be the first derivative of -15*b**4/4 - 5*b**2 + 2. Find the second derivative of d(l) wrt l.
-90*l
Suppose -m = 4*f + 13, -3*f = -m + 6 + 9. What is the second derivative of 2*x + 6*x**2 - x**2 - m*x**2 wrt x?
4
Let r(d) = -11*d**4 - 5*d**3 - 22*d**2 - 5. Let y(f) = 11*f**4 + 6*f**3 + 23*f**2 + 6. Let p(t) = -6*r(t) - 5*y(t). What is the third derivative of p(a) wrt a?
264*a
Let v(u) be the first derivative of -3*u**4/4 + u + 3. Differentiate v(m) wrt m.
-9*m**2
Let p(g) be the second derivative of -1/4*g**4 + g - 2/21*g**7 + 0*g**3 + 0*g**2 + 0*g**6 + 0 + 0*g**5. What is the third derivative of p(i) wrt i?
-240*i**2
Differentiate 1 + 3 - 6*b**2 + 10 - 5 with respect to b.
-12*b
Let q(f) be the third derivative of -17*f**5/60 - 2*f**4/3 - 8*f**2. What is the second derivative of q(w) wrt w?
-34
Let m(a) be the second derivative of -a**7/420 - a**6/180 - a**4/2 + 5*a. Let w(c) be the third derivative of m(c). What is the second derivative of w(f) wrt f?
-12
Find the second derivative of 10*x**2 + 6 - 10*x - 5 - 1 wrt x.
20
Find the second derivative of -5*c + 4*c**2 + 0*c - 6*c**2 + 3*c**2 wrt c.
2
Suppose -2*g + 20 = -3*w, 2*w + 8 = -0. What is the third derivative of 0*h**3 - 4*h**2 + 3*h**4 - 2*h**g + 0*h**3 wrt h?
24*h
Suppose -3*a = -15 - 3. Suppose -p + a = 2*p. Find the third derivative of 3*q**p + 2*q**2 - 3*q**2 - 3*q**6 wrt q.
-360*q**3
Let z(t) = 6*t**2 + 14*t + 23. Let f(b) = -5*b**2 - 14*b - 22. Let x(s) = 4*f(s) + 3*z(s). What is the derivative of x(v) wrt v?
-4*v - 14
Let z(d) = 31*d**3 - 28*d**2 - 6*d. Let b(k) = -30*k**3 + 27*k**2 + 5*k. Let g(x) = 6*b(x) + 5*z(x). Find the third derivative of g(i) wrt i.
-150
Let d(p) be the second derivative of 1/2*p**3 + 0*p**5 + 0 + 0*p**4 - 1/15*p**6 + 0*p**2 - 3*p. What is the second derivative of d(f) wrt f?
-24*f**2
Let y(w) be the second derivative of w**9/5040 + w**6/720 + w**4/12 + w. Let z(d) be the third derivative of y(d). What is the second derivative of z(p) wrt p?
36*p**2
Find the second derivative of -20*t**3 + 18*t - t + 6*t - 21*t**3 wrt t.
-246*t
Let q be 7/70 + 2/5. Let z(p) be the second derivative of q*p**2 - p + 0 + 0*p**3 - 1/6*p**4. Find the first derivative of z(f) wrt f.
-4*f
What is the derivative of -104*j - 106*j + 210*j + 20*j**2 + 26 wrt j?
40*j
Suppose 12*x - 9*x = 6. Let d(p) be the second derivative of 0 - 1/2*p**x - p - 1/6*p**4 + 0*p**3. Differentiate d(i) with respect to i.
-4*i
Let d(q) = 3*q**2 + q - 2. Let a be d(-2). Let u be a/6 + 8/12. Find the second derivative of -v - v**2 + v**2 - v**2 + 2*v**u wrt v.
2
Let k = -9/10 - -23/20. Let i(w) be the second derivative of 0*w**2 + 0 - k*w**4 + w - 1/3*w**3. What is the second derivative of i(o) wrt o?
-6
Let b(w) = -10*w**5 + 6*w**4 + 6*w**3 - 8*w. Let s(t) = -10*t**5 + 5*t**4 + 5*t**3 - 8*t. Let h(l) = 5*b(l) - 6*s(l). Find the second derivative of h(g) wrt g.
200*g**3
Let c(l) be the third derivative of l**6/6 + 31*l**3/6 + 2*l**2 - 6. What is the first derivative of c(h) wrt h?
60*h**2
Let f = -39 - -43. Let p(h) be the first derivative of -2/3*h**3 + 1/5*h**5 + 3 + 0*h + 0*h**2 + 0*h**f. Find the third derivative of p(a) wrt a.
24*a
Let o(h) = h**2 + 9*h - 20. Let d be o(-11). Let n(z) be the first derivative of 0*z**2 + 2/3*z**3 - d*z + 1. What is the first derivative of n(l) wrt l?
4*l
Let c(y) be the second derivative of -y**6/10 + 2*y**3/3 - 2*y. What is the second derivative of c(s) wrt s?
-36*s**2
Differentiate -11 + 20 - 9*i - 8 with respect to i.
-9
Let q(i) = -8*i - 25. Let z(k) = -9*k - 25. Let u(g) = -5*q(g) + 6*z(g). Differentiate u(m) with respect to m.
-14
Let j(q) be the second derivative of -q**4/2 - 2*q**3/3 - 5*q. Find the second derivative of j(z) wrt z.
-12
Let n(j) be the second derivative of 3*j**6/10 - 5*j**4/6 + 3*j. Find the third derivative of n(f) wrt f.
216*f
Let a(t) = -33*t**4 - 5*t**3 - 17*t**2 - 5. Let q(d) = -16*d**4 - 2*d**3 - 9*d**2 - 2. Let u(j) = -2*a(j) + 5*q(j). Find the third derivative of u(f) wrt f.
-336*f
Let g(o) be the second derivative of 0 + 0*o**3 - 1/20*o**5 + 3/2*o**2 + 0*o**4 - 2*o. What is the first derivative of g(a) wrt a?
-3*a**2
Let w(z) = -21*z**3 - 4*z - 11. Let f(t) = 21*t**3 + 3*t + 11. Let g(n) = -4*f(n) - 3*w(n). What is the derivative of g(v) wrt v?
-63*v**2
Let h(g) be the third derivative of -g**6/15 + g**5/15 + 9*g**2. Find the third derivative of h(q) wrt q.
-48
Find the second derivative of -u**2 + 2*u**2 + 3*u + u**2 + 5*u**2 wrt u.
14
Suppose -h + 0 = -4. Suppose -5*a + 31 = -h*r, -2*r + 0*r = a + 5. What is the third derivative of -c**2 - 2*c**a - c**2 + 0*c**2 wrt c?
-12
Let j(x) be the third derivative of -x**5/12 + 3*x**4/8 + 2*x**2 - 1. What is the second derivative of j(c) wrt c?
-10
Let b = -3 + 3. Let q(g) be the third derivative of 1/8*g**4 - 1/3*g**3 + b + g**2 + 0*g. Find the first derivative of q(z) wrt z.
3
Suppose 1 = -4*h + 21. Find the second derivative of -v + 6*v**h + 7*v - 7*v wrt v.
120*v**3
Let n(s) = -12*s**4 - 4*s**3 - 4*s**2 - 5. Let k(h) = h**4 + h**3 + h**2 + 1. Let b(p) = 4*k(p) + n(p). Differentiate b(d) with respect to d.
-32*d**3
Let a(k) be the third derivative of 19*k**6/120 - 3*k**5/20 + 33*k**2. Find the third derivative of a(y) wrt y.
114
What is the third derivative of -s**4 - 8*s**4 - 21*s**2 + 22*s**2 wrt s?
-216*s
Let u be ((-3)/2)/((-6)/8). Suppose 4*k - q = 2*q - 7, -3*k + 1 = -q. Find the second derivative of 2*t - 2*t + t - k*t**u wrt t.
-4
Find the third derivative of 356*w - 356*w - 6*w**2 + 3*w**5 + 14*w**5 wrt w.
1020*w**2
Let g = -14 + 16. Let t(j) be the first derivative of 0*j**3 + 0*j + j**2 + 1/2*j**4 - g. What is the second derivative of t(d) wrt d?
12*d
Let m(x) = -3*x**2 - x - 7. Let q(u) = -4*u**2 - 6. Let t(y) = -6*m(y) + 7*q(y). What is the second derivative of t(z) wrt z?
-20
Let m(v) = -v**3 - 3*v**2 - v + 1. Let x be m(-3). Find the second derivative of -o**x - 2*o**3 - 2*o + 2*o**3 wrt o.
-12*o**2
Let d be (10 + -11)*(-4 - 0). Find the second derivative of 3*t + 4*t**2 - d*t**2 + 6*t**5 wrt t.
120*t**3
Let d(j) = j**3 - 5*j**2 - 5*j - 3. Let h be d(6). Find the third derivative of -3*r**2 + h*r**3 + 6*r**3 - 6*r**3 wrt r.
18
Let r be (-8)/(-5) - 4/(-10). Find the second derivative of -3*p**4 + 5*p**2 - 2*p**r - 3*p**2 - 2*p wrt p.
-36*p**2
Find the second derivative of -2*w + 2*w**4 + 7*w + 11*w + 44*w**4 wrt w.
552*w**2
Let k(g) be the third derivative of 17*g**6/30 - g**5/30 - 4*g**2 - 5. Find the third derivative of k(c) wrt c.
408
Let m(r) = -r**2 + 6*r - 4. Let z be m(4). Find the second derivative of -2*a + 2*a**2 + 9*a + z*a**2 - 2*a wrt a.
12
Find the first derivative of -25 + 5*v**2 - 19*v**4 + v**2 - 30*v**4 + 45*v**4 wrt v.
-16*v**3 + 12*v
What is the derivative of -7*t**3 - 5*t**3 - 9 -