. Suppose -2*l = -o - 3*l - 4, 0 = 2*o - 3*l - 7. Let n be k(o). Differentiate -2*h**4 - 3 + 4*h**4 + 18*h - n*h wrt h.
8*h**3
Let o(g) be the second derivative of 1/6*g**3 + 3*g + 0*g**2 + 0*g**4 - 1/10*g**5 + 0. Find the second derivative of o(n) wrt n.
-12*n
Suppose -16 = -o - 3*o. Let m(k) be the third derivative of 0*k**o + 0*k - 1/30*k**5 - 1/6*k**3 - k**2 + 0. Differentiate m(t) wrt t.
-4*t
Let s(n) = n**3 + 4*n**2 - 8*n - 12. Let i be s(-5). Find the second derivative of 10*z**3 + 13*z - 3*z - z**i wrt z.
54*z
Let w be (-5 - (4 + -1))/(-2). Let y(r) be the second derivative of -3*r + 0*r**2 - 1/12*r**w + 0 + 1/2*r**3. What is the second derivative of y(p) wrt p?
-2
Suppose h + c = 0, 0 = -5*c + 2*c. Suppose -4*g - 12 = h, 5*w - 3*w + 5*g = -15. Find the first derivative of 2*n**3 + 0*n**3 + w + 2 wrt n.
6*n**2
Let c(l) be the second derivative of 0 + 1/3*l**4 + 0*l**6 + 0*l**5 + 0*l**2 + 3*l - 2/21*l**7 + 0*l**3. What is the third derivative of c(x) wrt x?
-240*x**2
Find the second derivative of -5*o + 0*o - 15*o + 8*o - 5*o**4 wrt o.
-60*o**2
Let y(t) be the second derivative of t - 1/42*t**7 + 1/4*t**4 + 0 + 0*t**2 + 0*t**5 + 0*t**6 + 0*t**3. What is the third derivative of y(h) wrt h?
-60*h**2
Suppose -3*n + 5*i + 12 = -19, 0 = -2*n - 3*i - 11. Let p(h) be the second derivative of 0 + 1/2*h**n + h + 1/3*h**3. Differentiate p(a) with respect to a.
2
Let g(y) be the second derivative of 2*y + 0*y**4 - 3/20*y**5 + 1/2*y**3 + 0*y**2 + 0. Find the second derivative of g(n) wrt n.
-18*n
Let t(r) be the third derivative of -9*r**6/40 - 5*r**3/6 + 9*r**2. What is the first derivative of t(p) wrt p?
-81*p**2
Let l = 2 - 1. Let m = l + 1. What is the derivative of -7*h**2 - 3 + 10*h**2 + m wrt h?
6*h
Let d = 5/14 + 8/7. Let z(v) be the first derivative of -2*v + d*v**2 + 1. Differentiate z(y) with respect to y.
3
Let i(x) be the first derivative of -x**4/2 - x**3 - 2*x + 8. Let j(n) be the first derivative of i(n). Find the second derivative of j(s) wrt s.
-12
Suppose 5*y - 5*x = -0*x + 50, -40 = -4*y - 3*x. What is the third derivative of h**2 - y*h**6 + 3*h**6 + 4*h**6 + h**6 wrt h?
-240*h**3
Let q(l) = l**2 + l - 4. Let d be q(-3). What is the derivative of -3*w**d + 0*w**2 - 7 - 4*w**2 wrt w?
-14*w
Let g = 7 + -4. Suppose -g + 1 = -b - 2*u, -5*u + 4 = 2*b. What is the third derivative of -n**4 + n**2 + 0*n**4 + 0*n**b wrt n?
-24*n
Let g(p) = -p - 9. Let i be g(-14). Find the second derivative of 1 - 8*l - 4*l**2 + i*l**2 - 1 wrt l.
2
Let b(f) = 5*f + 7*f**2 - 6*f**2 + 4 - 5*f**2. Let t(m) = -m**3 - m**2 + 1. Let h(v) = b(v) - 4*t(v). What is the second derivative of h(k) wrt k?
24*k
Suppose -5*b - 19 + 4 = 0. Let v = -1 - b. Find the third derivative of 0*j**2 - j**4 - j**4 + v*j**2 wrt j.
-48*j
Suppose 0*y - 5*y + 10 = 0. Find the second derivative of 2*n**y - n**2 - 3*n**2 + n wrt n.
-4
Let d(u) be the second derivative of -65*u**3/6 + 29*u**2/2 - 3*u + 7. Differentiate d(l) with respect to l.
-65
Let u(r) be the first derivative of r**9/1008 - r**6/72 + 4*r**3/3 - 6. Let o(h) be the third derivative of u(h). Find the third derivative of o(q) wrt q.
180*q**2
Differentiate n - 2 + 13 - 2*n - 10*n wrt n.
-11
Let t(g) = -19*g**2 - 32*g. Let l(j) = j. Let s(w) = 2*l(w) - t(w). Find the second derivative of s(f) wrt f.
38
Let g(c) = 31*c**4 - 5*c**3 - 9*c - 3. Let f(q) = -15*q**4 + 3*q**3 + 5*q + 2. Let a(h) = 7*f(h) + 4*g(h). Find the second derivative of a(y) wrt y.
228*y**2 + 6*y
Let u(v) be the first derivative of -7/2*v**2 + 3/2*v**6 + 0*v**3 + 0*v**4 + 0*v + 0*v**5 + 4. Find the second derivative of u(t) wrt t.
180*t**3
Suppose 0 = -n + 6 - 3. Suppose -5*q + 25 = 5*f - 0*f, 0 = q - 3*f + n. What is the second derivative of 3*k**5 - 14*k**3 + k + 14*k**q wrt k?
60*k**3
Let a(n) be the second derivative of n**8/336 + n**4/8 + n**2/2 - n. Let i(y) be the first derivative of a(y). Find the second derivative of i(j) wrt j.
20*j**3
Let c(q) be the second derivative of 4*q**6/3 - q**3/3 + 40*q. What is the second derivative of c(p) wrt p?
480*p**2
Suppose 2*w = -0*w - 14. Let v = w - -7. What is the second derivative of 5*g**4 - 4*g + v*g + 0*g + 3*g wrt g?
60*g**2
Let u(b) be the third derivative of 0*b + 0 + 1/30*b**5 + 0*b**4 + 0*b**6 + 4*b**2 + 0*b**7 - 1/336*b**8 + 0*b**3. Find the third derivative of u(k) wrt k.
-60*k**2
Let w(o) = 83*o**3 - 27*o. Let z(u) = 41*u**3 - 14*u. Let v(q) = 4*w(q) - 9*z(q). What is the second derivative of v(a) wrt a?
-222*a
Let z(d) = 2*d**2 + 6*d. Let g be z(-4). Suppose 3*k - g = -2. Find the second derivative of -6*h**5 + 2*h**5 + h**5 - k*h + 0*h wrt h.
-60*h**3
Let n(g) = g**2 + 9*g - 15. Let x be n(-11). What is the second derivative of 7 - x*u**3 - 7 + u + u wrt u?
-42*u
Let b(v) be the second derivative of 27*v**5/20 + v**3/6 + 6*v. What is the second derivative of b(g) wrt g?
162*g
Let i(h) be the second derivative of 0 - 5*h + 5/6*h**3 + 0*h**2 + 7/12*h**4. What is the second derivative of i(s) wrt s?
14
Find the first derivative of -25*y**4 + 3*y**3 - 13*y**3 - 13 + 10*y**3 wrt y.
-100*y**3
Let w(x) = -x**3 - 9*x**2 - 7*x + 8. Let c be w(-8). Find the second derivative of v + 0*v**4 + 3*v**4 + c*v - v**4 wrt v.
24*v**2
What is the derivative of -6*q - 2 + 6*q + q wrt q?
1
Let n(b) be the first derivative of -14*b**5/5 - 9*b - 1. Find the first derivative of n(i) wrt i.
-56*i**3
What is the second derivative of 4*d - 2*d + 15*d**2 + 3*d wrt d?
30
Let l(i) be the third derivative of i**6/144 + i**5/60 + i**4/6 + 4*i**2. Let n(g) be the second derivative of l(g). Find the first derivative of n(x) wrt x.
5
Let i be (-3)/(-6*5/20). Suppose 3*c + 4*d = 15, 3*d - 20 = -4*c - d. Find the second derivative of -g**2 + 4*g - 7*g + c*g**2 - 2*g**i wrt g.
4
Suppose -b = -s + 2*s - 3, -3*b + 11 = 5*s. Find the second derivative of -3*m - 3*m**4 + m + b*m**4 - 2*m**4 wrt m.
-36*m**2
Let b(g) be the third derivative of -13*g**6/60 - 3*g**5/20 - 24*g**2. What is the third derivative of b(c) wrt c?
-156
Let p be (-28)/(-6) - 3/(-9). Suppose p*v - 12 = v. What is the first derivative of -2 - 2*s**3 + 3*s**3 - 2*s**v wrt s?
-3*s**2
Let c(w) = 10*w**3 - 7*w**2 - 7*w - 2. Let d(h) = h**3 - h**2 - h. Let g(t) = -6*c(t) + 42*d(t). What is the derivative of g(r) wrt r?
-54*r**2
Let q(k) be the first derivative of 1 + 1/2*k**2 + 0*k - 1/3*k**3. What is the second derivative of q(c) wrt c?
-2
Let m(h) = 15*h**2 + 5. Let o be (-5 + 0)*(9 - 8). Let c(t) = 8*t**2 + 2. Let j(i) = o*c(i) + 3*m(i). What is the first derivative of j(s) wrt s?
10*s
Let j(w) be the third derivative of 3*w**5/20 - w**4/24 + 29*w**3/6 + 3*w**2 + 8*w. Find the first derivative of j(l) wrt l.
18*l - 1
Let l(a) be the first derivative of a**5 + 17*a + 44. What is the derivative of l(k) wrt k?
20*k**3
Let r(q) = -8*q**3 + 5. Let m(n) = 17*n**3 - 9. Let b(w) = 3*m(w) + 7*r(w). Find the first derivative of b(l) wrt l.
-15*l**2
Let z(u) = -u**2 - 3*u + 3. Let l be z(-3). Suppose 3*k - 4*k = -5. What is the second derivative of h**3 + h + h**3 + h - k*h**l wrt h?
-18*h
What is the third derivative of -2*i**4 + 0*i**2 - i**2 - i**2 + 5*i**4 wrt i?
72*i
Let l(s) = 12 - 2 - 1 - s. Let u be l(6). Find the second derivative of -2*a**3 + a + 2*a**u + 0*a**3 - 4*a**5 wrt a.
-80*a**3
Let f(t) be the first derivative of -7 + 0*t**3 - 3/5*t**5 + 0*t**4 + 8*t + 0*t**2. Differentiate f(w) wrt w.
-12*w**3
Let u(s) = -s**3 - 8*s**2 - 2*s - 12. Let i be u(-8). What is the first derivative of 3 + 5*t**4 - 4*t**4 + t**i wrt t?
8*t**3
Let w = -4 - -4. What is the third derivative of -v**2 + 0*v**6 - 4*v**6 + 3*v**6 + w*v**6 wrt v?
-120*v**3
Find the third derivative of 2*q**2 + 102*q**5 - 63*q**5 - 2*q + q**2 - 80*q**5 wrt q.
-2460*q**2
Let d(i) = 3*i**3 - 4*i + 10. Let c(j) = -4*j**3 + 5*j - 11. Let q(k) = 4*c(k) + 5*d(k). Differentiate q(v) wrt v.
-3*v**2
Let d(q) be the first derivative of 2*q**2 - 4 + 0*q**4 + 0*q + 2/5*q**5 + 0*q**3. Find the second derivative of d(z) wrt z.
24*z**2
Suppose 0 = -0*o - o + 2. What is the second derivative of 6*r**2 + 9*r**4 + r - 6*r**o + 2*r wrt r?
108*r**2
Let o(c) be the first derivative of -4*c**3/3 + 5*c**2/2 + 7. What is the second derivative of o(h) wrt h?
-8
Let s(x) be the third derivative of -x**5/12 + x**4/6 - 4*x**2. Find 