*5 wrt y?
240*y**2
Let k(p) be the first derivative of p**4 - 3*p**2/2 - 8. What is the second derivative of k(r) wrt r?
24*r
Let p be ((-2)/6)/((-1)/12). Suppose p*d = 8*d - 8. Find the second derivative of 0*t**2 - 3*t**2 + d*t + 2*t**2 wrt t.
-2
Let t(z) be the second derivative of 0*z**3 - 2*z + 1/6*z**4 + 3/20*z**5 + 0 + 0*z**2. Find the third derivative of t(u) wrt u.
18
Let d be 11 + 1 + 0 + -1. Let i = 15 - d. Find the first derivative of i - 1 + 0*y + 0*y + 2*y wrt y.
2
Let b(y) be the first derivative of -y**7/210 - y**6/90 - y**3 - 3. Let f(r) be the third derivative of b(r). Find the third derivative of f(d) wrt d.
-24
Let b(n) = 13*n**2 + 5. Let w(u) = -7*u**2 - 3. Let y(h) = -2*b(h) - 5*w(h). What is the derivative of y(x) wrt x?
18*x
Let d be (-81)/(-12) + -4 - (-1)/4. Let g(v) be the third derivative of -1/15*v**5 + 0*v**4 + 0*v + 0 - 3*v**2 - 1/3*v**d. Differentiate g(j) wrt j.
-8*j
Differentiate -10 + 14 + 5*p + 7*p wrt p.
12
Let z(i) be the second derivative of i**8/560 - i**6/360 + i**3/3 - 2*i. Let n(t) be the second derivative of z(t). What is the third derivative of n(v) wrt v?
72*v
Let n(y) be the second derivative of 5*y**8/28 + 23*y**4/12 - 26*y. Find the third derivative of n(f) wrt f.
1200*f**3
Let c be (-6)/18 - (-38)/6. Find the third derivative of 3*d**2 + c*d**2 - 3*d**2 + 0*d**5 - d**5 wrt d.
-60*d**2
Find the third derivative of 27*l**2 + 11*l**3 + 17*l**4 + 2*l**4 - 11*l**3 wrt l.
456*l
Let t = 2 - -1. Suppose -t - 5 = -2*u. Find the first derivative of -4*b**2 - u + 2 - 1 wrt b.
-8*b
Let k(o) be the second derivative of o**6/30 - 19*o**3/6 + 71*o**2/2 - 66*o. What is the first derivative of k(q) wrt q?
4*q**3 - 19
Let h(c) be the first derivative of c**4 + c**3 + 2. What is the third derivative of h(z) wrt z?
24
Let x(p) be the first derivative of 3*p**8/56 + p**4/6 + 2*p + 2. Let i(z) be the first derivative of x(z). What is the third derivative of i(c) wrt c?
360*c**3
Let z(d) = 3*d - 10. Let f(j) = -7*j + 19. Let b(q) = 4*f(q) + 7*z(q). What is the first derivative of b(w) wrt w?
-7
Let n(d) be the third derivative of -d**7/42 - d**6/15 + 21*d**5/20 + 2*d**2 - 59*d. Find the third derivative of n(w) wrt w.
-120*w - 48
Suppose 0 = -3*x + 2*x + 1. Suppose c - 3 = x. Find the second derivative of c*l - l**3 - 4*l - 2*l wrt l.
-6*l
Let o(f) = -12*f**4 + 6*f**3 + 6*f**2 + 7. Let b(k) = -36*k**4 + 17*k**3 + 17*k**2 + 21. Let m(j) = -6*b(j) + 17*o(j). Differentiate m(t) with respect to t.
48*t**3
Let k be 52/(-10) - 3/(-15). Let b(m) = m**3 + 4*m**2 - 5*m + 5. Let f be b(k). What is the second derivative of 5*j**f + j**5 - 3*j - 4*j**5 + 0*j wrt j?
40*j**3
Let t(n) be the second derivative of n**6/72 + n**4/4 - n**3 + 4*n. Let d(w) be the second derivative of t(w). What is the first derivative of d(f) wrt f?
10*f
Let y(d) be the second derivative of 0*d**2 + 0 + 1/3*d**4 + 0*d**5 + 0*d**3 - 3*d + 2/15*d**6. Find the third derivative of y(p) wrt p.
96*p
Suppose 3*s + 4 = 5*h - 17, -5*h - 5*s = -5. Find the second derivative of -6*b**h - 4*b + 6*b**3 - b**5 wrt b.
-20*b**3
Let f(v) = 4*v**3 + 17*v. Let n(l) = 7*l**3 + 33*l. Let z(y) = 9*f(y) - 4*n(y). Find the second derivative of z(q) wrt q.
48*q
Let x(y) be the third derivative of y**7/840 + y**4/8 - y**3/6 - 2*y**2. Let k(z) be the first derivative of x(z). Find the first derivative of k(a) wrt a.
3*a**2
Let y(s) = -1. Let i(w) = w**2 + w + 1. Let l(c) = -3*c**2 - 5*c - 2. Let m(b) = 5*i(b) + l(b). Let t(v) = -m(v) + 6*y(v). What is the derivative of t(q) wrt q?
-4*q
What is the second derivative of 3*j + 9*j + 44*j**4 - 3*j wrt j?
528*j**2
Find the second derivative of -933*j + 9*j**5 - j**3 + 909*j - 2*j**3 wrt j.
180*j**3 - 18*j
Suppose 10 = 5*d - 0*d. Find the third derivative of 2*m**6 + 8*m**2 - 3*m**2 + 5*m**6 - 3*m**d wrt m.
840*m**3
Let j(q) = 11*q**3 - 2*q**2 + 4*q. Let d(t) = 22*t**3 - 5*t**2 + 7*t. Let b(m) = 2*d(m) - 5*j(m). Find the second derivative of b(i) wrt i.
-66*i
Let o(h) = -h**3 - 7*h**2 + 8*h. Let v be o(-8). Suppose v = -4*q + 11 - 3. What is the second derivative of -q*t - 4*t + 0*t**4 + 3*t - 3*t**4 wrt t?
-36*t**2
Let u(m) be the second derivative of -4/3*m**3 + 3*m + 0 + m**2. Differentiate u(j) wrt j.
-8
Let u(s) be the second derivative of 9*s**4/4 - 9*s**2/2 + 24*s. Differentiate u(g) with respect to g.
54*g
Suppose 2*v - v - 5*s = -15, v = -5*s + 15. Suppose 3*h + 5 = 14. Find the third derivative of -3*u**3 + v*u**h + 2*u**3 - u**2 wrt u.
-6
Let h(t) = 10*t + 8. Let d(p) = 1. Let s(b) = -2*d(b) - h(b). What is the first derivative of s(f) wrt f?
-10
Differentiate -c**4 + c**4 - 4 + 5 + 6*c**4 wrt c.
24*c**3
Let j be ((-5)/(-2))/(2/4). Find the third derivative of 6*h**2 - j*h**2 - 5*h**4 + 3*h**2 wrt h.
-120*h
Let b(x) = 6*x**3 + x**2 - 6*x. Let h(r) = 12*r**3 + r**2 - 13*r. Let m(y) = 13*b(y) - 6*h(y). Find the third derivative of m(z) wrt z.
36
Let b = 8 - 8. Find the second derivative of 4*r**4 + 3*r + b*r**4 - 2*r**4 + r wrt r.
24*r**2
Let j(u) = 0 - u + 2*u + 14. Let c(n) = 15. Let l(b) = -6*c(b) + 7*j(b). Find the first derivative of l(h) wrt h.
7
Let g(c) be the second derivative of -21*c**5/20 + 19*c**2/2 - 3*c. What is the first derivative of g(t) wrt t?
-63*t**2
Let s(q) be the second derivative of 2/3*q**3 - 2*q + 1/2*q**2 + 0. What is the derivative of s(f) wrt f?
4
Let y(t) = -7 + 3 + 0*t + t**3 + 8*t - 8*t**2. Let z be y(7). What is the second derivative of z*v - 6*v**2 + 6*v**2 - v**4 wrt v?
-12*v**2
Let l(n) be the third derivative of n**6/12 - n**5/12 - 11*n**2. What is the third derivative of l(t) wrt t?
60
Let m(x) = x. Let b be m(2). What is the third derivative of 0*h**3 - h - 5*h**b - 2*h**3 + h wrt h?
-12
Let h(d) = -d**3 - d**2 + d + 1. Let x(n) = 27*n**5 + 3*n**3 + 3*n**2 + 37*n - 3. Let g(o) = -3*h(o) - x(o). What is the second derivative of g(r) wrt r?
-540*r**3
Let u(g) be the first derivative of 5*g**7/7 + 23*g**3/3 + 3. Find the third derivative of u(m) wrt m.
600*m**3
Let v(b) = 91*b**2 + 10*b + 5. Let x(y) = 45*y**2 + 5*y + 2. Let t(o) = -2*v(o) + 5*x(o). What is the second derivative of t(q) wrt q?
86
Let n(h) be the first derivative of h**5/10 - h**2/2 - 2*h - 1. Let o(r) be the first derivative of n(r). What is the first derivative of o(d) wrt d?
6*d**2
Let o be 0 + 4/6*-12. Let l be (-6)/(-4)*o/(-3). What is the first derivative of -2*v**2 + v**2 - 3 + l - v**2 wrt v?
-4*v
Find the second derivative of -5*n**5 + 105*n**2 + 101*n**2 - 206*n**2 - 23*n wrt n.
-100*n**3
Let r be ((-3)/(-4) - 0)*4. Let b = -14 - -16. Differentiate -7*j**b + 2 + 7*j**2 - 4*j**r with respect to j.
-12*j**2
Find the second derivative of -2*j - 56*j**3 + 29 + 56*j**3 - 56*j**5 wrt j.
-1120*j**3
Let q be 2*((3 - 5) + 4). Find the second derivative of 0*y**q + 5*y**4 + 3*y - 5*y - 6*y**4 wrt y.
-12*y**2
Suppose -y - 3*p = -0*y, y + p = 2. What is the second derivative of i**3 + i + 0*i**3 - y*i wrt i?
6*i
Let b be ((-3)/(-1))/(-3) + 1. Differentiate b + 3 + 2*h**2 - 4 with respect to h.
4*h
Let j(z) = 6*z**2 - 2*z - 6. Let f(p) = -p**2 - p. Let h(a) = -2*f(a) + j(a). Differentiate h(u) with respect to u.
16*u
Let c(f) be the first derivative of 5*f**9/504 - f**5/60 + f**2/2 + 2. Let v(i) be the second derivative of c(i). Find the third derivative of v(j) wrt j.
600*j**3
Let y(c) be the first derivative of -c**5/20 - 2*c**2 + 3*c + 1. Let o(f) be the first derivative of y(f). What is the first derivative of o(n) wrt n?
-3*n**2
Let k(c) be the third derivative of 0*c**5 - 1/24*c**6 + 0 + 0*c**3 + c**2 + 0*c + 7/24*c**4. What is the second derivative of k(q) wrt q?
-30*q
Let y(d) be the third derivative of 8*d**2 - 3/20*d**5 + 0*d + 0*d**3 + 0 + 5/24*d**4. What is the second derivative of y(k) wrt k?
-18
Let z(u) be the third derivative of u**5/6 - u**3/2 + u**2. Let i(j) = -5*j**2 + 1. Let q(k) = 5*i(k) + 2*z(k). Differentiate q(p) wrt p.
-10*p
What is the third derivative of -17*w**4 + 17*w**2 - 51*w**2 + 16*w**4 wrt w?
-24*w
Let b(q) be the third derivative of -19*q**8/336 - q**5/30 + q**2. Find the third derivative of b(s) wrt s.
-1140*s**2
Let p(t) = -4 + 2*t**4 + 7*t**4 + 3*t**2 + 0*t**4. Let i(o) = 17*o**4 + 5*o**2 - 7. Let n(s) = -3*i(s) + 5*p(s). Find the first derivative of n(z) wrt z.
-24*z**3
Suppose -5*c 