4 - q**4 - 6*q + 14*q - 9 wrt q?
-12*q**2
Let i be ((-13)/3 + 4)*-12. Suppose 2*q + k + 0*k - 15 = 0, 2*k = i*q - 42. Find the second derivative of 0*h**5 - h - 7*h + q*h**5 wrt h.
180*h**3
What is the second derivative of 409*x - 2*x**2 - 1211*x + 33*x**4 + 35*x**4 + 415*x + 428*x wrt x?
816*x**2 - 4
Let z(a) = a**3 - 9*a**2 + 11*a - 22. Let j be z(8). What is the third derivative of -j*w**2 + 8*w**4 - 8*w**4 - 22*w**6 + 6 + 0*w**4 + 2*w**4 wrt w?
-2640*w**3 + 48*w
Let i(v) be the first derivative of -v - 10 + 62*v**4 - 7 - 61*v**4. What is the first derivative of i(w) wrt w?
12*w**2
Suppose -5*t + 47 + 43 = 0. Let a = 20 - t. Find the second derivative of 84 - 4*l**a - 84 + 5*l - l wrt l.
-8
Let i(x) = -121*x**3 - 13*x**2 + 2*x - 5. Let r(f) = -181*f**3 - 20*f**2 + 3*f - 7. Let p(j) = 7*i(j) - 5*r(j). Find the third derivative of p(v) wrt v.
348
Let c(z) = 57*z**3 + 5*z + 19. Let m(x) = -x + 3. Let j(r) = -c(r) - 5*m(r). Differentiate j(g) with respect to g.
-171*g**2
Let p(r) = -r**2 - 4*r + 1. Let c be p(-5). Let o be c/(-6) + (-4)/6. What is the second derivative of o*k**4 - 5*k + 4*k - 2*k**4 wrt k?
-24*k**2
Let p(b) be the first derivative of -4*b**5/5 + 3*b**3/2 - 18*b - 4. Let u(c) be the first derivative of p(c). Find the second derivative of u(h) wrt h.
-96*h
Let h(g) be the third derivative of g**7/35 + g**6/20 - 499*g**4/24 + 141*g**2. Find the second derivative of h(p) wrt p.
72*p**2 + 36*p
Let h(q) = -6*q**4 - 5*q**4 - 5*q**2 + 29 + q**2 + 3*q**4. Let r(w) = w**4 + 1. Let t(k) = h(k) - 3*r(k). What is the derivative of t(o) wrt o?
-44*o**3 - 8*o
Let o(m) be the first derivative of 66*m**2 + 314*m - 193. What is the first derivative of o(t) wrt t?
132
Suppose 3*r - 9*r = -150. Differentiate r*m + 8 + 10 - 20*m wrt m.
5
What is the second derivative of -2*i**2 - 872*i**4 - 849*i**4 + 95 + 1534*i**4 + 2*i**2 - i wrt i?
-2244*i**2
Suppose 4*z + 16 = 0, 4*j - 1 = -3*z + 3. What is the second derivative of -s**3 + s**3 - 6*s**j + 8*s + s wrt s?
-72*s**2
Let z(x) = 7*x**2 - 1. Let r be z(-1). Let g be (-23)/(-4) + r/(-8). What is the second derivative of -g*c - 9*c**3 + 4*c - 4*c + 3*c**3 wrt c?
-36*c
Let j(k) = 6*k**3 + 19*k + 120. Let r(l) = -3*l**3 - 9*l - 61. Let h(t) = -4*j(t) - 9*r(t). What is the first derivative of h(a) wrt a?
9*a**2 + 5
Let r(a) = -a**2 + 5*a. Let x be r(4). Find the third derivative of -135 + 135 + 3*o**2 + 14*o**x wrt o.
336*o
Let q(u) be the first derivative of 3*u**8/112 + 2*u**4/3 - u**2/2 - 13. Let v(p) be the second derivative of q(p). What is the second derivative of v(c) wrt c?
180*c**3
Let u(q) = q + 13. Let k be u(0). Let y = 15 - k. What is the third derivative of -7*j**2 - 4*j**2 + 0*j**2 + j**3 + 7*j**y wrt j?
6
What is the third derivative of y**5 + 2*y**5 - 1157*y - 14*y**3 - 4*y**5 - 66*y**2 + 1156*y wrt y?
-60*y**2 - 84
Let a be -4 + 20/2 + -4. Suppose 7*u = 30 - 9. What is the second derivative of a*v**3 + 2*v + 7*v**u + 8*v + 4*v**3 wrt v?
78*v
Differentiate 6*f**2 - 62*f**4 - 51 - 6*f**2 wrt f.
-248*f**3
Let y(l) = 55*l**2 - l - 55*l**2 - l**3. Let h(i) = -i**4 + 24*i**3 - 41*i**2 - 2*i. Let q(g) = -h(g) + 2*y(g). What is the third derivative of q(k) wrt k?
24*k - 156
Let t(w) be the third derivative of w**8/720 - w**6/60 + 5*w**5/12 - 31*w**2. Let o(q) be the third derivative of t(q). What is the derivative of o(z) wrt z?
56*z
Let d(g) = -269*g**2 - 4*g - 122. Let k(x) = -537*x**2 - 7*x - 244. Let c(j) = 7*d(j) - 4*k(j). What is the derivative of c(t) wrt t?
530*t
Let a(z) be the third derivative of -z**8/3360 + z**6/720 + z**5/12 - 4*z**2. Let d(k) be the third derivative of a(k). Differentiate d(w) wrt w.
-12*w
Let w(k) be the third derivative of 11*k**10/75600 - 19*k**6/720 - 8*k**5/15 - 19*k**2. Let x(m) be the third derivative of w(m). Differentiate x(g) wrt g.
88*g**3
Let o = 60 - 54. Find the third derivative of 2*i**4 - 5*i**o + 13*i**6 - 2*i**4 - 19*i**2 wrt i.
960*i**3
Let v(i) be the second derivative of 16*i**6/5 - 64*i**3/3 - 17*i. What is the second derivative of v(u) wrt u?
1152*u**2
What is the first derivative of -511*i + 53*i + 63*i - 267 wrt i?
-395
Let v(s) = -s**2 + 8*s - 5. Let f be v(4). Find the third derivative of 17 - 6 - f - 11*j**2 - 4*j**4 wrt j.
-96*j
Let p = -7 + 2. Let o(t) = -5*t**4 - 5*t**2 - 7*t. Let s(x) = 2*x**4 + 3*x**2 + 4*x. Let k(r) = p*s(r) - 3*o(r). What is the second derivative of k(f) wrt f?
60*f**2
Let s(z) = -z + 37. Let n be s(-6). Differentiate 13*g**4 - 16 + n + 0*g**3 + 0*g**3 wrt g.
52*g**3
Let j(i) be the second derivative of -97*i**5/20 + 47*i**3/3 - 11*i - 4. Find the second derivative of j(v) wrt v.
-582*v
Let f(u) be the first derivative of -6*u**5/5 + 11*u**2/2 + 71*u + 121. What is the derivative of f(q) wrt q?
-24*q**3 + 11
Let v(q) = -45*q + 15. Let c(m) = -m - 1. Let b(w) = 4*c(w) - v(w). Find the first derivative of b(y) wrt y.
41
Suppose 3*q = -4*o - 3, -16*o - 12 = -12*o. What is the third derivative of -q*j**5 + 4698 - 2*j**5 + 5*j**4 - j**2 - 4699 wrt j?
-300*j**2 + 120*j
Suppose 2*y = 5*m - 32, 2*m + y - 23 = -2*m. Let h = 9 - m. What is the third derivative of -3*f**3 + 9*f**6 - 14*f**6 + 2*f**2 + h*f**3 wrt f?
-600*f**3
Find the second derivative of 239*l**3 + 88*l + 0 - 72*l + 6 wrt l.
1434*l
Let m(x) be the first derivative of 3/2*x**6 + 0*x**3 + x**2 + 0*x + 0*x**4 + 0*x**5 + 20. Find the second derivative of m(t) wrt t.
180*t**3
Let m(x) be the first derivative of 0*x - 14 - 5*x**4 + 23/3*x**3 + 0*x**2. What is the third derivative of m(v) wrt v?
-120
Let r(q) be the second derivative of 3*q**5/20 - q**4/2 - 4*q**2 + 22*q. Let k(s) be the first derivative of r(s). What is the second derivative of k(c) wrt c?
18
Differentiate -3*l**3 + 125 - 15*l**3 + 0*l - l - 51*l**3 with respect to l.
-207*l**2 - 1
Let a(k) be the second derivative of -499*k**4/12 - 133*k**3/6 - 659*k. Find the second derivative of a(s) wrt s.
-998
Let p(h) be the first derivative of 7*h**6/3 - 51*h**2/2 + 29. What is the second derivative of p(t) wrt t?
280*t**3
Let c(m) be the second derivative of -3*m**5/20 - 5*m**4/12 - 13*m**2/2 - m - 2. Find the third derivative of c(l) wrt l.
-18
Let a(j) = -j**3 - 22*j**2 + 150*j - 2. Let t(b) = -2*b**3 - 44*b**2 + 301*b - 5. Let w(l) = 5*a(l) - 2*t(l). Find the second derivative of w(o) wrt o.
-6*o - 44
Let h(q) = -33*q**3 + q - 145. Let d(z) = -33*z**3 + z - 145. Let m(t) = -3*d(t) + 4*h(t). Differentiate m(o) with respect to o.
-99*o**2 + 1
Let b(s) be the second derivative of -14*s**7/3 - s**5/10 - 2*s**4/3 - 9*s**2 + 391*s. What is the third derivative of b(l) wrt l?
-11760*l**2 - 12
Let o(r) be the second derivative of -81*r**8/56 - 179*r**4/3 - 491*r. Find the third derivative of o(t) wrt t.
-9720*t**3
Let b(t) = -t**3 + 15*t**2 + 35*t + 18. Let d be b(17). Find the third derivative of -m**2 - 3*m**4 + 3*m**4 + 4*m**4 - d*m**2 wrt m.
96*m
Let q(a) be the third derivative of 0*a**4 + 11/3*a**3 + 0 + 1/5*a**5 + 0*a - 21*a**2. What is the first derivative of q(k) wrt k?
24*k
Let c(d) be the first derivative of 0*d**2 + 0*d + 21/4*d**4 - 16 - 17/3*d**3. Find the third derivative of c(y) wrt y.
126
Let r(v) be the second derivative of 101*v**5/10 - 289*v**2/2 + 13*v. Differentiate r(h) with respect to h.
606*h**2
Let w(n) = -n**2 + 6*n - 6. Let o be w(4). Suppose -f + 2 + o = 0. What is the third derivative of y**2 - f*y**2 + 3*y + y**5 - 3*y wrt y?
60*y**2
Let v be 1 + 2 + 1 - 11. Let n = 10 + v. Find the second derivative of 5*p + 2*p**n + 9*p**5 + 5*p - 2*p**3 wrt p.
180*p**3
Let v(j) be the second derivative of 0*j**5 + 0*j**6 + 0 + 0*j**3 + 0*j**2 + 16*j + 1/4*j**4 + 0*j**7 + 2/7*j**8. Find the third derivative of v(q) wrt q.
1920*q**3
Let f(w) = 2*w**4 - w**2 - 9*w + 3. Let h(n) = -2*n**4 + 2*n**2 + 8*n - 4. Let s(r) = 3*f(r) + 2*h(r). Find the second derivative of s(y) wrt y.
24*y**2 + 2
What is the first derivative of -6117*n + 6255*n + 2*n**2 + 301 - 3*n**2 wrt n?
-2*n + 138
Let x = 52 + -22. What is the first derivative of 4 + 6*n**2 - x*n**2 + 21 - 4*n**2 wrt n?
-56*n
Let b(p) be the second derivative of -7*p**8/8 + p**6/30 + 100*p**4/3 - p - 8. Find the third derivative of b(l) wrt l.
-5880*l**3 + 24*l
Let n(z) = -4*z + 24. Let o be n(8). Let g be -6 - o - 0/2. Differentiate -7 + a - 5*a