- 19. Let z(l) = 6*l**2 + 51*l + 29. Let d(m) = 8*i(m) + 5*z(m). What is the derivative of d(u) wrt u?
-4*u - 17
Let h = -19 + 21. Let u(d) be the second derivative of 0*d**4 + 0*d**3 + h*d + 0 + 1/2*d**2 + 0*d**5 - 2/15*d**6. Find the first derivative of u(i) wrt i.
-16*i**3
Let g(r) = 10*r - 5. Let m(f) = -9*f + 5. Let v(w) = -2*g(w) - 3*m(w). Differentiate v(z) with respect to z.
7
What is the third derivative of -2*q**3 - 188*q**4 + 27*q**2 + 228*q**4 + 2*q**3 wrt q?
960*q
Let h(j) = -j**3 - 7*j**2 - 6*j. Let p(n) = 2*n**3 + 8*n**2 + 7*n + 1. Let g(z) = 5*h(z) + 4*p(z). What is the second derivative of g(o) wrt o?
18*o - 6
Let y(f) be the first derivative of 5*f**3/3 - f - 1. Let i be y(-1). Find the second derivative of -4 + 2*o**4 - o**i + 4 + o wrt o.
12*o**2
Let g(k) = k**4 - k**2 + 1. Let c(y) = 17*y**4 - 2*y**2 + 6. Let x(a) = -c(a) + 6*g(a). What is the third derivative of x(d) wrt d?
-264*d
Let p(i) = -77*i**3 - 9. Let g(j) = 115*j**3 + 14. Let s(u) = -5*g(u) - 8*p(u). Find the first derivative of s(l) wrt l.
123*l**2
Let j(l) be the second derivative of -l**7/21 + 3*l**3/2 - 10*l. Find the second derivative of j(t) wrt t.
-40*t**3
Suppose 4*c + 3 = -4*s - 1, -5*s = -5*c - 35. Differentiate 0 + 3 - 4*m**s + 3*m**3 + 3*m**3 with respect to m.
6*m**2
Let z(b) be the second derivative of -1/10*b**6 + 0 - 1/2*b**3 - 2*b + 0*b**2 + 0*b**5 + 0*b**4. What is the second derivative of z(y) wrt y?
-36*y**2
Let m(r) be the first derivative of 0*r**5 - 5/3*r**3 - 5/7*r**7 + 0*r**2 + 0*r + 0*r**6 + 0*r**4 - 1. Find the third derivative of m(q) wrt q.
-600*q**3
Find the first derivative of 1401*k**3 - 1398*k**3 - k**2 + 4*k + k**2 + 22 wrt k.
9*k**2 + 4
Let c(x) = -x**2 - x + 1. Let m(w) = 13*w**2 + 2*w + 18. Let r(p) = 2*c(p) + m(p). What is the derivative of r(a) wrt a?
22*a
Let s(g) = -18*g**2 - 9*g - 7. Let b(f) = -9*f**2 - 4*f - 3. Let y(o) = -9*b(o) + 4*s(o). Differentiate y(p) wrt p.
18*p
Let f(i) = i + 1. Let g(p) = -2*p**2 - 2*p - 2. Let a(q) = f(q) + g(q). Let k(y) be the first derivative of a(y). Find the first derivative of k(b) wrt b.
-4
Let v(u) be the third derivative of 0*u**6 + 1/168*u**8 - 4*u**2 + 1/60*u**5 + 0*u**7 + 0*u**4 + 0*u + 0 + 0*u**3. Find the third derivative of v(g) wrt g.
120*g**2
Let i(d) be the second derivative of -d**10/5040 + d**6/144 - d**4/2 - 5*d. Let u(f) be the third derivative of i(f). Find the second derivative of u(w) wrt w.
-120*w**3
Let g(l) = -6*l**2 - 2*l - 11. Let x(u) = -7*u**2 - 3*u - 12. Let y(r) = 3*g(r) - 2*x(r). Differentiate y(s) wrt s.
-8*s
Let p(o) be the second derivative of o**4/4 - 5*o**3/3 + 4*o. What is the second derivative of p(d) wrt d?
6
Find the second derivative of -9*d - 73*d**2 - 10*d**3 + 73*d**2 wrt d.
-60*d
Let q(u) = 2*u - 15. Let n be q(11). Suppose 0 = -3*j - 0 - 6, 2*j - 11 = -5*t. What is the third derivative of n*r**3 - 5*r**t - 2*r**2 + r**3 wrt r?
18
Let m be 1/7 - 246/(-42). What is the second derivative of -122*q + m*q**4 - 2*q**4 + 125*q wrt q?
48*q**2
Suppose -4*u - 8 = -5*o, -5*o = u - 3*u - 14. Find the second derivative of 0*y**3 + 3*y**3 + 0*y**3 + u*y + 0*y**3 wrt y.
18*y
Let a(v) = -v - 5 + 7 + 4 + 3. Let i be a(4). Find the third derivative of -j**2 + j**i - 5*j**5 - 2*j**2 + 2*j**5 wrt j.
-120*j**2
Let q(f) be the second derivative of -16*f**6/15 - 13*f**2/2 - 9*f. What is the derivative of q(x) wrt x?
-128*x**3
Let r(k) be the third derivative of 0*k**3 - k**2 + 1/15*k**5 + 0*k**4 + 0*k + 0 + 1/40*k**6. Find the third derivative of r(o) wrt o.
18
Let o(i) be the second derivative of -i**5/12 - 5*i**4/24 - 5*i**2/2 - 3*i. Let l(d) be the first derivative of o(d). Find the second derivative of l(x) wrt x.
-10
Let m(r) = -3*r. Let z be m(-1). Find the first derivative of 0*f - f - 5*f - 3 + z*f wrt f.
-3
Let f(a) = -3*a - 3*a**3 + 2 - 4*a**2 - 2 + a. Let d(z) = 5*z**3 + 7*z**2 + 3*z. Let t(r) = 4*d(r) + 7*f(r). Find the second derivative of t(o) wrt o.
-6*o
Suppose 4*y + 2*m = -m + 16, -2*y = 4*m - 18. Let c = 3 - y. Differentiate -4 + x**c + 6 - x**2 - 2*x**3 with respect to x.
-6*x**2
Suppose v - 3 = -5*d - 1, -2 = -v - 3*d. Find the third derivative of -11*h**v + 8*h**5 + 3*h**2 - 2*h**5 wrt h.
360*h**2
Let y(f) be the second derivative of -f**6/6 - 3*f**2 - 10*f. Differentiate y(v) wrt v.
-20*v**3
Let x(q) = q - 5. Suppose -2*z - 2 = -z. Let t(p) = -2*p + 9. Let c(a) = z*t(a) - 5*x(a). Find the first derivative of c(j) wrt j.
-1
Let p(v) be the second derivative of -2*v + 0*v**3 + 0 + 1/15*v**6 + 0*v**5 - 1/2*v**2 + 0*v**4. What is the first derivative of p(r) wrt r?
8*r**3
Let u(g) = -3*g. Let q be u(-2). What is the third derivative of 2*s**2 + s**6 - q*s**2 + 0*s**6 wrt s?
120*s**3
Let j = 13 - 8. Let a be (-3)/3 + 1*3. What is the second derivative of -2*d - d**a + d**2 - 2*d**j wrt d?
-40*d**3
Let c(z) be the second derivative of -7*z**5/5 - z**4/6 + 28*z**2 - 20*z. Differentiate c(x) with respect to x.
-84*x**2 - 4*x
Let i be (-4)/(-6) + (-16)/(-12). Find the third derivative of -3*t**2 + t**4 - 2*t**2 + 0*t**2 - i*t**2 wrt t.
24*t
Let w(v) be the second derivative of 1/4*v**4 + 0 + v + 0*v**3 + 9/2*v**2. Find the first derivative of w(d) wrt d.
6*d
Let f(p) be the second derivative of p**6/120 + 5*p**4/24 + 3*p**2 + 8*p. Let r(h) be the first derivative of f(h). What is the second derivative of r(s) wrt s?
6*s
Let l(d) = -d**4 - d**2. Let f(h) = -25*h**4 + h**2 - 10*h. Let r(g) = -f(g) - 3*l(g). Find the third derivative of r(x) wrt x.
672*x
What is the third derivative of -i**6 + 0*i**6 - 2*i**2 - 3*i**2 - 2*i**6 wrt i?
-360*i**3
Suppose -4*o = 4 - 12. Suppose 13 = 2*w - 0*b - 3*b, 0 = 3*w + o*b. Find the first derivative of 5 + h + w*h - 6 wrt h.
3
Let v be 42/(-5) + 8/20. Let z(q) = -2*q**2 + 10*q. Let j(n) = n**2 - n. Let x(w) = v*j(w) - z(w). What is the second derivative of x(f) wrt f?
-12
Let m(c) be the first derivative of -7*c**4/4 + c + 8. What is the derivative of m(g) wrt g?
-21*g**2
Let k = 2 + 1. Suppose -3*o + 39 - 17 = 4*l, 4*o + 4*l = 24. Find the second derivative of 0*x - o*x**k + 3*x**3 + 2*x wrt x.
6*x
Let o(m) be the third derivative of m**6/120 + 4*m**3/3 + m**2. Differentiate o(k) with respect to k.
3*k**2
Let a(l) = 6*l**4 + 3*l**3 - 2. Let u(y) = -5*y**4 - y**3 - 6 + 7 - y**3. Let n(q) = 2*a(q) + 3*u(q). Differentiate n(b) with respect to b.
-12*b**3
Let m(f) = 9*f**3 - 25*f**2 + 4*f. Let h(a) = 10*a**3 - 26*a**2 + 5*a. Let y(n) = -4*h(n) + 5*m(n). Find the third derivative of y(w) wrt w.
30
Let k(x) = 3*x + 3. Let s(m) = 4*m + 4. Let d(l) = -7*k(l) + 5*s(l). Differentiate d(v) wrt v.
-1
Let b(q) be the second derivative of q**10/1680 + q**6/40 - q**3/3 + 7*q. Let i(j) be the second derivative of b(j). What is the third derivative of i(y) wrt y?
360*y**3
Let h(u) = -u**3 - 4*u**2 + 4*u + 4. Let n(s) = -2*s**3 - 8*s**2 + 7*s + 7. Let p(f) = -7*h(f) + 4*n(f). Find the third derivative of p(c) wrt c.
-6
Let n(x) be the third derivative of 2*x**7/105 - 4*x**3/3 + 6*x**2. Find the first derivative of n(f) wrt f.
16*f**3
Let u = 16 + -11. Find the third derivative of -5*x**2 + u*x**5 + 5*x**2 + 4*x**2 wrt x.
300*x**2
Let k(g) be the first derivative of g**10/5040 - g**6/90 + g**3/3 + 2. Let u(p) be the third derivative of k(p). Find the third derivative of u(f) wrt f.
120*f**3
Let a(p) be the first derivative of 22*p**3/3 - 14*p**2 - 10. Find the second derivative of a(j) wrt j.
44
What is the third derivative of -s**4 - 676*s**5 - 29*s**2 + 15*s**4 + 678*s**5 wrt s?
120*s**2 + 336*s
Let c(t) be the third derivative of -t**7/5 - 7*t**3/6 - 18*t**2. Differentiate c(z) wrt z.
-168*z**3
Suppose -1 - 1 = -f. Differentiate -3 + 2*q - 2*q - 4*q**f + 0*q with respect to q.
-8*q
Find the second derivative of -g**4 - 10*g + g**4 + 218*g**5 - 225*g**5 wrt g.
-140*g**3
What is the first derivative of -14 - 19 + 0*u**2 + 21 + 8*u**2 wrt u?
16*u
Let n(b) = -14*b**3 + 14*b + 12. Let g(a) = a**3 + a + 1. Let c(l) = -12*g(l) + n(l). Find the second derivative of c(t) wrt t.
-156*t
Suppose h - 4*h - 32 = -2*j, 2*j = -3*h + 8. Find the first derivative of 7 - j - 5 - 4*g**2 wrt g.
-8*g
Let a(n) be the first derivative of -n**4/4 + 2*n**3 + 3*n + 2. Let m be a(6). What is the third derivative of 8*h**m + 3*h**2 - 3*h**2 + h**2 - 4*h**3 w