t derivative of k(w) wrt w?
-16
Find the second derivative of 21*l**4 + 23*l + 29*l**4 - 63*l**4 wrt l.
-156*l**2
Let p(z) = -5*z**4 - 4*z**2 + 2. Let f(b) = -24*b**4 - 21*b**2 + 9. Let v(l) = 4*f(l) - 21*p(l). Differentiate v(d) wrt d.
36*d**3
What is the second derivative of -8*w**2 + 4*w**2 + 6*w - w**2 wrt w?
-10
Let i(s) be the second derivative of -2/15*s**6 + 0 + 0*s**2 + 0*s**4 + 0*s**5 + 2/3*s**3 - 3*s. Find the second derivative of i(v) wrt v.
-48*v**2
Let f(x) be the first derivative of 3*x**3 - 16*x**2 + 36. What is the second derivative of f(m) wrt m?
18
What is the third derivative of -2*h**3 - 10*h**5 + 8*h**5 - 23*h**2 - h**5 wrt h?
-180*h**2 - 12
Let b(x) be the third derivative of x**5/30 + x**3/2 - x**2. Differentiate b(h) with respect to h.
4*h
Let n(h) be the second derivative of -h**7/280 + h**6/240 + 2*h**4/3 + 8*h. Let b(v) be the third derivative of n(v). Find the second derivative of b(m) wrt m.
-18
Let j(d) = -d**3 - 6*d**2 - d - 3. Let n be j(-6). Let i = 3 + n. Find the second derivative of i*c**2 - c - 4*c**2 - 2*c + 0*c**2 wrt c.
4
Find the second derivative of -18*v**2 - 4*v - v - 9 + 7*v**2 + 6*v wrt v.
-22
Let m(v) be the first derivative of -v**3/2 + 3*v**2/2 - v - 6. Let p(b) be the first derivative of m(b). What is the first derivative of p(i) wrt i?
-3
Let n be (-1)/2 - 22/(-4). Let m(v) = 2*v - 3. Let s be m(n). What is the second derivative of 3*d - s*d**2 + 2*d**3 + 7*d**2 wrt d?
12*d
Let t(y) be the second derivative of y**7/84 + y**6/180 - 2*y**3/3 + 9*y. Let d(r) be the second derivative of t(r). Find the third derivative of d(i) wrt i.
60
Let f(n) be the third derivative of -n**7/30 + 7*n**4/12 + 6*n**2. What is the second derivative of f(q) wrt q?
-84*q**2
Let g(n) be the first derivative of 8*n**6/3 - 37*n**2/2 - 43. Find the second derivative of g(t) wrt t.
320*t**3
Let c(b) = 13*b**3 - 5. Let g(q) = -9*q**3 + 3. Let n(d) = -5*c(d) - 8*g(d). Differentiate n(v) with respect to v.
21*v**2
Suppose d = x + 2*x - 12, -4*d = -2*x + 18. What is the second derivative of 0*s - s**x - 3*s - s wrt s?
-6*s
Let f(i) = 2*i**4 + 3*i**3 - 3*i**2 - 3*i + 5. Let h(n) = n**4 - n**3 + n**2 + n - 1. Let a(z) = -4*f(z) - 12*h(z). What is the first derivative of a(o) wrt o?
-80*o**3
Suppose -3 = -q - 9. Let o be (-4)/(8/q)*1. What is the second derivative of x**o + x**3 + x + 0*x wrt x?
12*x
Let s be (-3 + 88/8)/(3 + -1). Suppose 2*o - 18 = -4*a + o, -3*a = 3*o - 9. What is the third derivative of 0*p**5 - 2*p**s + p**2 + 2*p**4 + p**a wrt p?
60*p**2
Let p = -1 + 6. Find the second derivative of 0*j**5 + 0*j**5 - j**5 - 3*j**p + 5*j wrt j.
-80*j**3
Let k(z) be the second derivative of z**6/30 + 11*z**3/2 + 9*z. Find the second derivative of k(f) wrt f.
12*f**2
Let k = 8 - 2. Find the second derivative of -3*m - 6 + k + 4*m**5 wrt m.
80*m**3
Let s(f) be the second derivative of 0*f**5 + f + 0*f**2 + 1/2*f**3 + 0*f**4 + 2/15*f**6 + 0. What is the second derivative of s(h) wrt h?
48*h**2
Let z be (-6)/(-6) - (2 - 5). Differentiate 3 - 6 + z - 5*c - 2 wrt c.
-5
Suppose -4 = -4*g + r, g - r = 5 - 1. Find the third derivative of x**3 + 4*x**3 + g*x**3 - 2*x**3 + 2*x**2 wrt x.
18
Let l be (0 - 1)*(-3 - -2). Let f = 2 + l. What is the second derivative of -3*a**2 + f*a**2 + a - a**2 wrt a?
-2
Suppose 0 = -20*x + 17*x + 9. Let a(v) be the first derivative of 0*v**x + 0*v**4 + 0*v**2 - 1/5*v**5 + 4 + 2*v. Find the first derivative of a(d) wrt d.
-4*d**3
Let b(p) be the first derivative of -p**8/336 + p**4/24 + 5*p**2/2 - 7. Let t(l) be the second derivative of b(l). What is the second derivative of t(f) wrt f?
-20*f**3
Suppose 5*i = 2 + 13. Let z(x) be the first derivative of 0*x**i + x - 2/5*x**5 + 0*x**4 + 0*x**2 - 2. What is the derivative of z(v) wrt v?
-8*v**3
Suppose 0*y + 4*y - 2*x - 32 = 0, -x - 36 = -4*y. Differentiate 3 - 3 + 3 + 4 - y*b with respect to b.
-10
Let f(t) = t**3 + t**2 + t + 1. Let b(o) = 15*o**3 - o**2 - 27*o - 1. Let w(h) = -b(h) - f(h). Find the second derivative of w(m) wrt m.
-96*m
Let z(v) = v**2 - 1. Let a(t) = -2*t - 6*t**2 + 11*t + 2 - 5. Let r(s) = -a(s) + 3*z(s). Find the second derivative of r(k) wrt k.
18
Let i(k) be the second derivative of 19*k**5/20 + 17*k**4/12 - 6*k. Find the third derivative of i(d) wrt d.
114
Let p = 63 - 38. Let l be (-17)/(-5) - 10/p. Find the second derivative of -2*h**l - 1 + h + 1 wrt h.
-12*h
Let t(q) = -q**2 - 6*q + 5. Let u be t(-6). Find the first derivative of 5*w**2 - 5*w**2 - 4*w**4 - u wrt w.
-16*w**3
Let n be 0 + 0 + -2 + 4. Suppose 3*c + 2*s - 7*s = 21, 3*s + 5 = -n*c. Find the first derivative of 0*m**3 + c - 3 + 2*m**3 wrt m.
6*m**2
Suppose j = 3*p - j - 2, -2*p + 3 = -j. Find the third derivative of -2*z**4 - 3*z**4 + 12*z**4 - 3*z**p - 5*z**2 wrt z.
96*z
Let r(f) be the third derivative of f**5/60 + f**4/6 - 10*f**2. Find the second derivative of r(t) wrt t.
2
Find the second derivative of -737*a**2 + 12*a**4 + 737*a**2 + 7*a wrt a.
144*a**2
Let c(x) be the first derivative of -3*x**3 + 15*x**2/2 + 10. What is the second derivative of c(q) wrt q?
-18
Let p(n) be the first derivative of 13*n**3/3 + 4*n + 21. Differentiate p(w) with respect to w.
26*w
Let n(o) be the second derivative of -o**6/30 + o**5/4 + o**3/3 + o**2 + 26*o. What is the second derivative of n(s) wrt s?
-12*s**2 + 30*s
Let c be (3 - -1)/(2/4). Suppose c*a = 4*a + 16. What is the third derivative of -g**a - g**2 - 3*g**2 + 5*g**2 + 3*g**4 wrt g?
48*g
Let b(y) be the third derivative of -y**6/24 - y**4/12 + 5*y**2. Find the second derivative of b(d) wrt d.
-30*d
Let k(g) be the second derivative of -27*g**5/20 + 2*g**4 - 26*g. Find the third derivative of k(c) wrt c.
-162
Find the third derivative of 5*w**2 - 11*w**2 - 14*w**3 + w**2 - 2*w**2 wrt w.
-84
Let g be 8/(-3)*(-3)/2. Let x(u) = 2*u**2 - 2*u - 2. Let a be x(2). What is the derivative of -a - 1 + 2*f + g wrt f?
2
Let o(g) = -2*g - 3. Let y be o(-6). What is the second derivative of -w**4 + 6*w**4 - 9 + y - 4*w wrt w?
60*w**2
Find the second derivative of -6*d - 5*d - 3*d - 14*d**2 + 23*d**2 wrt d.
18
Let l(f) be the third derivative of f**8/168 + 3*f**4/8 + 9*f**2. Find the second derivative of l(a) wrt a.
40*a**3
What is the first derivative of 36*y**4 - 35 - 62*y**4 + 9 + 31*y**4 wrt y?
20*y**3
Let k(o) be the third derivative of 2*o**6/15 + o**4/3 - 10*o**2. What is the second derivative of k(s) wrt s?
96*s
Suppose n + 0 = 3. Suppose 3*w - 12 = -n. Find the second derivative of k - w*k + 0*k**2 - 2*k**2 wrt k.
-4
Let c(p) = -1 + 2*p**2 + 0*p**2 + 6*p**4 + 15*p**3 - 15*p**3. Let i(m) = -12*m**4 - 5*m**2 + 2. Let k(d) = 5*c(d) + 2*i(d). Differentiate k(q) wrt q.
24*q**3
Let g(c) be the third derivative of -c**10/16800 - c**6/90 + c**5/60 - 8*c**2. Let o(l) be the third derivative of g(l). Differentiate o(f) wrt f.
-36*f**3
Find the third derivative of -k + k**2 - 54*k**6 + 374*k**3 - 374*k**3 wrt k.
-6480*k**3
Let m(i) = 11*i**3 + 6*i**2 + 6*i + 2. Let p(k) = 11*k**3 + 5*k**2 + 5*k + 2. Let u(h) = -5*m(h) + 6*p(h). Find the first derivative of u(w) wrt w.
33*w**2
Let t(b) be the third derivative of -b**8/84 - b**4/24 + 7*b**2. What is the second derivative of t(x) wrt x?
-80*x**3
Let a(i) be the first derivative of -i**4/4 + i**3/2 + 2*i - 2. Let g(u) be the first derivative of a(u). What is the second derivative of g(p) wrt p?
-6
Let f(v) = 5*v**4 - 3*v - 6. Let n(m) = -11*m**4 + 5*m + 13. Let p(q) = -13*f(q) - 6*n(q). What is the second derivative of p(l) wrt l?
12*l**2
Suppose -j + 3 = 2*j. Find the third derivative of -4*d**2 - 3*d**3 - j + 1 + 2*d**2 wrt d.
-18
Let v(z) be the first derivative of -z**8/840 + z**5/24 - 2*z**3/3 - 4. Let p(s) be the third derivative of v(s). Find the second derivative of p(a) wrt a.
-24*a**2
Suppose 5*h = 2*h. Suppose m = -h*m. What is the third derivative of m*v**2 + 2*v**2 + 4*v**4 - 3*v**4 wrt v?
24*v
Let w(b) = -3*b**4 + 9*b - 4. Let p(l) = l**4 - l + 1. Let v(m) = -4*p(m) - w(m). Find the second derivative of v(h) wrt h.
-12*h**2
Let i(k) be the first derivative of -k**5 + 8*k**3/3 - 6. Find the third derivative of i(j) wrt j.
-120*j
Let m(p) be the first derivative of p**3/3 + 5*p**2/2 - 4*p + 1. Let u(y) = -4*y + 3. Let n(v) = 4*m(v) + 5*u(v). Find the first derivative of n(w) 