t
Let h(y) be the third derivative of -3*y**7/70 + y**4/2 + 11*y**2. Find the second derivative of h(r) wrt r.
-108*r**2
Let z(u) = u**4 + 17*u**2 + 4*u - 4. Let t(i) = -17*i**2 - 5*i + 5. Let r(d) = 4*t(d) + 5*z(d). Find the third derivative of r(s) wrt s.
120*s
Differentiate 7 + 22*b**3 - 14 - 4*b**3 - 7 wrt b.
54*b**2
What is the third derivative of 2*s**2 + 2*s**2 - 2*s**3 - 42*s**3 + 3*s**2 - 1 wrt s?
-264
Let p be 28/8*12/7. What is the third derivative of p*a**2 - 2*a**2 - 2*a**4 + 0*a**2 wrt a?
-48*a
Differentiate 23 + n - 4 - 4*n**3 - n wrt n.
-12*n**2
Let r(x) = 12*x**3 - 11*x**2 - 15. Let j(q) = 6*q**3 - 6*q**2 - 8. Let z(b) = -11*j(b) + 6*r(b). Differentiate z(l) wrt l.
18*l**2
Let y(u) be the second derivative of u**5/5 - 5*u**4/3 + u. Find the third derivative of y(h) wrt h.
24
Suppose 8 = i + 3*i. What is the second derivative of 5 + i*n**2 - n - 5 wrt n?
4
Let p(b) be the first derivative of -21*b**4/4 - 4*b**2 - 18. Find the second derivative of p(w) wrt w.
-126*w
Let i be (12/(-7))/((-2)/14). Suppose -j + i = 3*j. What is the first derivative of -f**j - 1 - 4 + 4 wrt f?
-3*f**2
Let b(u) = -19*u**2 + 7*u + 5. Let r(v) = -28*v**2 + 10*v + 8. Let o(g) = 8*b(g) - 5*r(g). What is the second derivative of o(k) wrt k?
-24
Suppose -r = -0*r. Let j(z) = -3*z - 18. Let x be j(-6). What is the first derivative of b + x + 0*b + r - 3 wrt b?
1
Let c(d) be the second derivative of 19*d**6/10 + 3*d**2/2 - 51*d. Find the first derivative of c(p) wrt p.
228*p**3
Let j(a) be the second derivative of -7*a**3/6 - 2*a**2 + 8*a. What is the first derivative of j(z) wrt z?
-7
Let c be (-1 - -4) + (-2)/2. Let k = 7 - 7. What is the first derivative of -2*a**c + a**2 - 3 + k wrt a?
-2*a
Let o = 3 - -1. What is the derivative of 2*l**2 + o + 1 - 4 - 4*l**2 wrt l?
-4*l
Let m(j) = -1. Let d(u) = -26*u - 50. Let b(k) = 5*k + 10. Let t(l) = 11*b(l) + 2*d(l). Let y(c) = -6*m(c) - t(c). Differentiate y(r) with respect to r.
-3
Let j(d) be the third derivative of 0*d**4 - 1/120*d**6 + 0*d + 1/30*d**5 + 0 + 0*d**3 - d**2. What is the third derivative of j(z) wrt z?
-6
Let w = 133/130 - 12/13. Let q(u) be the second derivative of 0 - 1/6*u**3 + 0*u**2 + 2*u + w*u**5 + 0*u**4. What is the second derivative of q(g) wrt g?
12*g
Let k = -8 + 10. Find the second derivative of -k*p + 2*p**5 + 3*p - p**5 wrt p.
20*p**3
Let p(d) = -2*d + 7. Let j = 13 + -16. Let x(y) = 7*y - 20. Let l(z) = j*x(z) - 8*p(z). Find the first derivative of l(b) wrt b.
-5
Find the first derivative of -87*p**2 - 33*p**3 + 179*p**2 + 13 - 92*p**2 wrt p.
-99*p**2
Let z(j) be the second derivative of -11*j**7/21 - 11*j**4/12 - 15*j. Find the third derivative of z(u) wrt u.
-1320*u**2
Find the third derivative of 7*y**2 - 21*y**4 - 1477 + 1477 wrt y.
-504*y
Let r(f) = f**4 + 4*f**3 + 4*f**2 - 6*f. Let z(y) = y**4 - y**3 - y**2. Let u(j) = -r(j) - 4*z(j). What is the second derivative of u(o) wrt o?
-60*o**2
Differentiate i + 20*i**2 - 59*i**2 + 30*i**2 + 6 wrt i.
-18*i + 1
Let o(a) be the second derivative of 0*a**6 + 0*a**2 + 0 + 1/4*a**4 + 2/21*a**7 - 6*a + 0*a**3 + 0*a**5. What is the third derivative of o(t) wrt t?
240*t**2
Let t be (-16)/(-10) - 12/(-30). Let r be t*(-1)/(-2) + 1. Find the third derivative of -5*f**3 - 3*f**5 + f**3 - 2*f**r + 4*f**3 wrt f.
-180*f**2
Let s(u) be the second derivative of 0*u**5 + 0*u**6 + 1/4*u**4 + 0 + 0*u**7 + 1/56*u**8 + 2*u + 0*u**3 + 0*u**2. Find the third derivative of s(v) wrt v.
120*v**3
Find the third derivative of 13*y**4 - 113*y**3 + 21*y**2 + 113*y**3 wrt y.
312*y
Suppose -z = 2*z - 15. Find the third derivative of -2*g**5 + 5*g**2 + 4*g**z + 0*g**5 wrt g.
120*g**2
Let t be (3 - 5)/((-2)/4). Find the third derivative of 8*b**4 - 19*b**4 + 8*b**t + b**2 wrt b.
-72*b
Let s(f) be the second derivative of -2*f**7/21 - 7*f**4/12 - f. What is the third derivative of s(m) wrt m?
-240*m**2
Suppose b = 11*b. Let m(c) be the second derivative of 1/6*c**3 + b - 1/3*c**4 + 0*c**2 - c. Find the second derivative of m(v) wrt v.
-8
Let c be (4/6)/(1/9). Let f = 0 + c. What is the second derivative of f*h**3 + h**4 - 6*h**3 + 2*h wrt h?
12*h**2
Let b(t) be the third derivative of t**8/420 + t**6/180 - 2*t**3/3 + t**2. Let v(x) be the first derivative of b(x). Find the third derivative of v(k) wrt k.
96*k
Let r(a) = -2*a + 1. Let c be r(-1). Suppose f = -0 + 3. Find the third derivative of -2*i**2 - c + f - i**3 wrt i.
-6
What is the derivative of -1 + 0 + 11*g**4 - 28*g**4 + 10*g**4 wrt g?
-28*g**3
What is the first derivative of 4*d**2 - 4*d**2 - 31 + 5*d**4 + 26 wrt d?
20*d**3
Let y(q) be the first derivative of -9*q**4/2 - 21*q**2/2 + 21. Find the second derivative of y(n) wrt n.
-108*n
Let s(n) = n**3 - 6*n**2 - 2*n + 9. Let c be s(6). Let v = 6 + c. Find the first derivative of -2*u**3 + 3*u**3 - 4*u**3 + v + 0*u**3 wrt u.
-9*u**2
Let x(r) be the first derivative of -2*r**7/105 - r**5/60 + r**2 + 2. Let u(t) be the second derivative of x(t). Find the third derivative of u(o) wrt o.
-96*o
Let b be (-1 - 3/(-6))*0. Let k(r) be the third derivative of 2*r**2 + 0 + 1/3*r**3 - 1/60*r**5 + b*r + 0*r**4. Differentiate k(m) wrt m.
-2*m
Let i(x) be the second derivative of -x**7/168 + 5*x**4/24 - 5*x**3/6 + 5*x. Let c(p) be the second derivative of i(p). Find the first derivative of c(s) wrt s.
-15*s**2
What is the third derivative of -46*i**2 - 178*i**3 + 26*i**5 + 178*i**3 wrt i?
1560*i**2
Let j(i) = -2*i + 9. Let p be j(5). Let g(s) = 4*s**3 - s**2 - s + 8. Let t(a) = -a**3 + a**2 + a. Let d(v) = p*t(v) - g(v). Differentiate d(b) wrt b.
-9*b**2
Let y(t) be the first derivative of t**4/2 - 2*t**3/3 - 3*t**2/2 + 2*t - 1. Let k be y(2). What is the second derivative of 6*n**k - 4*n - 8*n**4 + 3*n wrt n?
-24*n**2
Let h be 10/2 - (1 + 0). Let a(o) be the first derivative of 0*o**3 + 0*o**h - 1/5*o**5 + 0*o - 1/2*o**2 + 1. Find the second derivative of a(t) wrt t.
-12*t**2
What is the third derivative of t**4 + 4*t**6 - 7*t**4 - 17*t**2 + 6*t**4 wrt t?
480*t**3
Let w = -183/10 + 55/3. Let s(g) be the second derivative of 0*g**3 - w*g**6 + 1/6*g**4 + 0 + 0*g**5 + g + 0*g**2. What is the third derivative of s(d) wrt d?
-24*d
Let g(y) be the third derivative of -7*y**6/60 + 3*y**4/4 + 8*y**2. Find the second derivative of g(i) wrt i.
-84*i
Let a(w) be the first derivative of 4 + 0 - 3*w + 3*w**2 + 2*w. Differentiate a(v) with respect to v.
6
Let y be 0/((-4)/(-4) + -3). Let l(h) be the first derivative of y*h**2 - 2 + 0*h**4 + 2/5*h**5 + 0*h**3 + 2*h. What is the derivative of l(t) wrt t?
8*t**3
Let a(d) be the second derivative of 0*d**2 + 4*d + 0*d**4 + 0*d**5 + 0*d**6 + 0 - 2/21*d**7 + 2/3*d**3. Find the second derivative of a(y) wrt y.
-80*y**3
Let x = 2 - -2. Suppose -3*h + 5 = 5*z, -x*z - h + 11 + 0 = 0. Find the second derivative of -2*y**4 + 2*y + 4*y**4 - y**z wrt y.
12*y**2
Let u(f) be the third derivative of 0*f**5 + 0 + 1/6*f**3 - 1/60*f**6 + 0*f**4 + f**2 + 0*f. Differentiate u(z) with respect to z.
-6*z**2
Let r(x) be the third derivative of 7*x**6/120 + 11*x**3/3 - 20*x**2. Differentiate r(s) wrt s.
21*s**2
Let v be 0/(2 - 0) + -3. Let k be (-4)/v*(-9)/(-6). Find the third derivative of -14*y**2 + 0*y**3 - 4*y**3 + 10*y**k wrt y.
-24
Let s = -11 + 13. Let t(g) be the second derivative of 0*g**s + 0 - 1/12*g**4 + 1/20*g**5 + 0*g**3 + 2*g. What is the third derivative of t(i) wrt i?
6
Let j(n) = -n**3 - 12*n + 43. Let r(g) = -g**3 - 11*g + 44. Let l(b) = 5*j(b) - 4*r(b). Differentiate l(i) with respect to i.
-3*i**2 - 16
Let r = -11 + 14. Find the second derivative of 63*j**3 - 63*j**r - 5*j**5 + 4*j wrt j.
-100*j**3
Suppose -3*w = -5*w - 2*d + 10, 2*w + d = 9. Let b = -3 - -3. Find the third derivative of -4*p**4 + b*p**2 + 3*p**4 - p**2 + 4*p**w wrt p.
72*p
Suppose -5*p - 11 - 19 = 0. Let l(v) = 3*v - 5. Let x(o) = 3*o - 4. Let j(h) = p*x(h) + 5*l(h). What is the derivative of j(c) wrt c?
-3
Let h(a) = -94*a**2 - 23. Let n(j) = -63*j**2 - 15. Let s(b) = -5*h(b) + 8*n(b). What is the first derivative of s(o) wrt o?
-68*o
Let m(t) = -t**3 - 2*t**2 + 3*t + 4. Let s be m(-3). What is the second derivative of 5*a**2 + 9*a**2 - s*a**3 + 4*a - 14*a**2 wrt a?
-24*a
Let o = 11 - 3. What is the derivative of 0*w + 3*w + 6*w - 7*w - o wrt w?
2
Let t be ((-4)/6)/(