t s(v) = 6*v**4 - 3*v**2 - 5*v - 24. Let u(n) = 7*n**4 - 4*n**2 - 6*n - 25. Let m(r) = -5*s(r) + 4*u(r). Find the second derivative of m(d) wrt d.
-24*d**2 - 2
Let w(s) be the third derivative of -s**6/60 + s**5/3 + 4*s**2. What is the third derivative of w(n) wrt n?
-12
Let w be ((-1)/3)/((-2)/(-6)). Let u be (0/(w*2))/(-1). What is the second derivative of -2*r + u*r - 4*r**2 + 2*r**2 wrt r?
-4
Let y(s) be the third derivative of 0*s**5 + 1/4*s**4 + 0*s**3 - 7/120*s**6 + 7*s**2 + 0*s + 0. Find the second derivative of y(r) wrt r.
-42*r
Let r be -1 + 6/(1 - -1). What is the second derivative of r*d + d**3 - 10*d + 4*d wrt d?
6*d
Let t(p) be the third derivative of 7*p**6/40 - 8*p**3/3 + 8*p**2. Differentiate t(h) wrt h.
63*h**2
Find the third derivative of 2 - 2 + 14*d**2 - 8*d**2 + 4*d**6 wrt d.
480*d**3
Let m(q) be the third derivative of -5/24*q**4 + 0*q - 1/3*q**3 + 4*q**2 + 0. What is the derivative of m(v) wrt v?
-5
Let l = 0 + 1. What is the second derivative of 2*p - l + 1 + 2*p**2 - 4*p wrt p?
4
Let m = 25 + -14. Suppose 0 = -2*v - 3*h - m, -h - 12 = -4*v + 1. What is the third derivative of -o**v + 2*o**3 - o**3 + 0*o**2 wrt o?
6
Let g(f) be the second derivative of f**8/14 + f**4/6 + 3*f. What is the third derivative of g(t) wrt t?
480*t**3
Let s(j) = -j + 2. Let x be s(0). What is the third derivative of -x*n**4 + 0 + 1 - 1 + 2*n**2 wrt n?
-48*n
Suppose 4*d - d = 6. What is the third derivative of 5*h**5 - 4*h**2 + 3*h**2 - d*h**5 wrt h?
180*h**2
Let k(n) = 21*n**3 + 6*n**2 - 6*n + 8. Let u(w) = 62*w**3 + 17*w**2 - 17*w + 24. Let o(t) = 17*k(t) - 6*u(t). Differentiate o(a) wrt a.
-45*a**2
Let i(f) be the second derivative of -f**4/12 + 5*f**3/6 - 8*f. Find the second derivative of i(q) wrt q.
-2
Let s(r) = r**2 - 5*r - 6. Let c be s(6). Let i(y) be the third derivative of c + 1/6*y**3 - y**2 + 0*y + 1/6*y**4. Differentiate i(x) wrt x.
4
Suppose -5 = 5*t, 7 = 2*v - 5*t - 10. Let i be v/21 - (-38)/14. Differentiate -3*q**2 + q**2 - 1 + i*q**2 wrt q.
2*q
Let w(g) = 8*g**2 + 7*g + 6. Suppose 0 = 2*z - 0*z - 10. Let a(s) = 8*s**2 + 6*s + 5. Let l(h) = z*w(h) - 6*a(h). What is the second derivative of l(o) wrt o?
-16
Let v(r) = -29*r**4 + 6*r**3 + 6*r**2 + 22*r. Let p(h) = h**4 + h**3 + h**2 + h. Let s(l) = 6*p(l) - v(l). What is the second derivative of s(z) wrt z?
420*z**2
Let q(z) be the first derivative of -z**6/15 + z**4/4 - 2*z + 1. Let s(y) be the first derivative of q(y). Find the third derivative of s(m) wrt m.
-48*m
Let j(d) be the first derivative of -7*d - d**4 + d + 2 + d. Find the first derivative of j(x) wrt x.
-12*x**2
What is the first derivative of 21*j**3 - 12 - 6*j**3 - 8*j + 8*j wrt j?
45*j**2
Let m(q) be the second derivative of 5*q**8/7 - 7*q**4/3 + 31*q. What is the third derivative of m(w) wrt w?
4800*w**3
Let p(h) = 8*h**2 + 2*h + 4. Let o(u) = 8*u**2 + 3*u + 4. Let i(c) = -2*o(c) + 3*p(c). Differentiate i(y) wrt y.
16*y
Let g(l) = -l - 1. Let n(x) = -15*x**5 + 28*x + 5. Let f(t) = 5*g(t) + n(t). Find the second derivative of f(m) wrt m.
-300*m**3
Let n(v) = v**3 - 10*v**2 + 9*v + 4. Let m be (-8)/(-28) - (-61)/7. Let w be n(m). Find the third derivative of 2*z**2 - 4*z - 2*z**w + 4*z wrt z.
-48*z
Suppose 2*p - p = 0. Find the second derivative of r**3 + p*r**3 + 24*r - 26*r wrt r.
6*r
Let u be 7 - 1*(-1 - 3). Differentiate 0*i**4 - u*i**4 - 10*i**2 + 1 + 10*i**2 with respect to i.
-44*i**3
Suppose -k - 4*l = -3, 4*k - 6 = 2*k - l. Let r = -2 - -6. Differentiate q**r + 1 + k*q**4 - 2 wrt q.
16*q**3
Let i(t) be the third derivative of -3*t**4/8 + 7*t**3/2 - 51*t**2. Differentiate i(h) with respect to h.
-9
Let x(c) = 9*c**2 - 3. Let v(k) = 28*k**2 - 8. Let d(i) = -2*v(i) + 7*x(i). Find the first derivative of d(h) wrt h.
14*h
Let y(g) be the first derivative of 1/2*g**2 + 2 + 1/20*g**5 + 0*g**4 + 0*g**3 + 2*g. Let q(f) be the first derivative of y(f). Differentiate q(c) wrt c.
3*c**2
Let v be -2 - (-9 + 3)/1. What is the third derivative of -245*z**5 - v*z**6 + 245*z**5 + 8*z**2 wrt z?
-480*z**3
Let r(w) be the second derivative of 0*w**2 + 0 - 4*w + 0*w**5 + 0*w**6 + 0*w**3 - 2/21*w**7 + 1/6*w**4. Find the third derivative of r(j) wrt j.
-240*j**2
Let u(x) be the first derivative of x**6/40 + 2*x**3/3 + 3*x**2 - 7. Let p(j) be the second derivative of u(j). What is the first derivative of p(i) wrt i?
9*i**2
Find the third derivative of -14*p**2 - 595*p**3 + 1206*p**3 - 668*p**3 wrt p.
-342
Let t(a) = 12*a**2 + 5*a + 1. Let k(i) = -11*i**2 - 4*i. Let s(y) = -5*k(y) - 4*t(y). What is the derivative of s(m) wrt m?
14*m
Let v(f) be the first derivative of 3*f**2 - 6*f - 1. What is the derivative of v(z) wrt z?
6
Let p = 5 + -3. Suppose f + p*f = -2*c - 3, -3 = c. Find the third derivative of f + 2*g**5 - g**2 - 1 wrt g.
120*g**2
Let g(f) be the third derivative of 0*f + 5/24*f**4 + 6*f**2 - f**3 + 0. Differentiate g(b) wrt b.
5
What is the first derivative of 35*g**4 + 3 + 6 - 45*g**4 wrt g?
-40*g**3
What is the third derivative of -12*w**2 - 6*w**4 + 4*w**4 + 16*w**4 - 10*w**2 wrt w?
336*w
Let n(s) be the third derivative of 0*s**6 + 0*s**3 + 0*s**5 + 0*s - 1/112*s**8 + 1/12*s**4 - s**2 + 0*s**7 + 0. Find the second derivative of n(y) wrt y.
-60*y**3
Let s(v) be the second derivative of 0*v**4 + 6*v - 1/5*v**6 + 0 + 0*v**5 + 0*v**2 - 1/6*v**3. What is the second derivative of s(l) wrt l?
-72*l**2
Let j(c) be the third derivative of -c**7/35 - c**5/3 - 5*c**2. What is the third derivative of j(g) wrt g?
-144*g
Suppose -3*k = 3*z - 33, -2*k + 16 = 2*k. Let l = z + -4. Differentiate -6*x**3 + 1 + 4*x**l + 0 with respect to x.
-6*x**2
Let l(u) = u - 5. Let o(k) = -k + 1. Let z be o(-4). Let q be l(z). What is the third derivative of 0*j + 2*j**3 + q*j + j**2 wrt j?
12
Let q be 6/9*-3 + 0. Let o = q - -5. What is the derivative of 0*f**2 + o*f**2 - 1 - 1 wrt f?
6*f
Suppose 4*s + s - 15 = 0. What is the second derivative of 0*u**3 - 2*u**s + u - 2*u wrt u?
-12*u
Let b(c) be the first derivative of -c**6/40 + c**5/20 + c**2/2 - 1. Let f(w) be the second derivative of b(w). Find the third derivative of f(z) wrt z.
-18
Find the second derivative of -16*c**2 + 20*c - 2*c + 10*c - 3*c wrt c.
-32
Let w(v) = -12*v**3 + 8*v**2 + 7*v - 7. Let g(u) = 13*u**3 - 9*u**2 - 6*u + 6. Let f(o) = 7*g(o) + 6*w(o). What is the third derivative of f(l) wrt l?
114
Differentiate 4 + 4*i**3 + 102*i - 102*i with respect to i.
12*i**2
Let c(k) be the first derivative of 0*k**4 + 0*k + 0*k**2 + 1/2*k**6 - 7 + 0*k**5 + 7/3*k**3. Find the third derivative of c(n) wrt n.
180*n**2
Let a(y) = -9*y**3 - 3*y**2 - 20. Let j(t) = 8*t**3 + 2*t**2 + 21. Let z(f) = -2*a(f) - 3*j(f). Differentiate z(l) wrt l.
-18*l**2
Let b(p) = -8*p - 7. Suppose 3*d + 0*d = -2*v + 24, 4*d - 16 = 0. Let y(l) = 4*l + 3. Let h(o) = v*b(o) + 13*y(o). Differentiate h(m) wrt m.
4
Let a(n) be the third derivative of n**6/60 + n**5/10 + 5*n**2. Find the third derivative of a(w) wrt w.
12
Let r = -7 - -7. Find the second derivative of r*k - k - 3*k + 3*k**2 wrt k.
6
Let i(o) = 4*o**3 - 5*o + 3. Let a(n) = -3*n**3 + 4*n - 4. Let j(h) = 3*a(h) + 4*i(h). Find the second derivative of j(m) wrt m.
42*m
Let q(h) be the third derivative of 0 + 0*h**6 + 0*h + 0*h**5 + 0*h**3 + 5/24*h**4 + 9*h**2 - 3/70*h**7. What is the second derivative of q(i) wrt i?
-108*i**2
Let l be (-43)/(-9) + 2/9. Let k = l + -2. Differentiate k + 0*y**2 + y**2 - 4 wrt y.
2*y
Let m = -4 - -6. Let s(h) = h**2 + h. Let o(j) = j**2 + 5*j. Let l(z) = m*s(z) - o(z). What is the second derivative of l(v) wrt v?
2
Find the second derivative of -15*l - 15*l**2 + 41*l - 14*l wrt l.
-30
Let p(l) = 3*l + 2*l - 5*l**2 - 8 + 0*l**3 + 13 - l**3. Let u(w) = -w**3 - 4*w**2 + 4*w + 5. Let c(x) = -4*p(x) + 5*u(x). Differentiate c(r) wrt r.
-3*r**2
Let d(n) be the third derivative of n**7/42 + n**4/12 + 33*n**2. Find the second derivative of d(j) wrt j.
60*j**2
Suppose 6 + 0 = -3*v. Let f(h) = h + 4. Let y be f(v). What is the derivative of -3*z**2 - 3 + y + 2*z**2 wrt z?
-2*z
Let g(p) = -14*p**3 + 9*p + 6. Let l(d) = 15*d**3 - 10*d - 5. Let b(n) = 5*g(n) + 6*l(n). Find the second derivative of b(x) wrt x.
120*x
Let x(g) be the third derivative of -g**8/42 - g**4/12 - 13*g**2. What is the second derivative of x(d) wrt d?
-160*d**3