wrt t.
24*t
Suppose -v + 5*w = 3, 3*v + 0*w - 3*w = 3. What is the first derivative of -12 + 5 - 2*s**v + 3 wrt s?
-4*s
Let l(b) be the second derivative of -4*b**6/15 - 5*b**4/6 - b. Find the third derivative of l(v) wrt v.
-192*v
Let r(j) be the third derivative of 5*j**9/168 - j**5/5 + 33*j**2. What is the third derivative of r(l) wrt l?
1800*l**3
Let p(d) be the first derivative of d**4/6 - d**3/3 + d - 4. Let v(a) be the first derivative of p(a). Find the second derivative of v(n) wrt n.
4
Suppose -2*r = -5*r + 30. What is the second derivative of -r*v - 2*v**4 - 2 + 9*v + 2 wrt v?
-24*v**2
Let w(h) = 3 - 4 + h + 4 - 2. Let d(k) = k. Let j(i) = d(i) - 3*w(i). Find the first derivative of j(r) wrt r.
-2
Let w(j) be the third derivative of -j**4/3 + j**3/3 - 2*j**2. Find the first derivative of w(c) wrt c.
-8
Let l(k) be the third derivative of 2*k**7/15 + 5*k**4/12 - 24*k**2. Find the second derivative of l(z) wrt z.
336*z**2
Suppose 4*n + n = -10. Let s be (0 - 1 - n)*3. Differentiate 0*q**2 - 4 + 2*q**2 + s with respect to q.
4*q
Suppose 0 = -2*s + 3*s. Let f = 0 + s. Find the second derivative of -2*z + 0*z**4 - 3*z**4 + f*z wrt z.
-36*z**2
Differentiate 1 - 17*p + 57*p - 19*p - 8 wrt p.
21
Let i be 5/10 - (-2)/(-4). Let f(r) be the first derivative of i*r**4 + 0*r + 1/3*r**3 + 1 + 1/5*r**5 + 0*r**2. Find the third derivative of f(a) wrt a.
24*a
Find the first derivative of -4 + 0 + 4*h**4 + 2 wrt h.
16*h**3
Suppose 3*o + 9 = 6*o. What is the third derivative of -3*l**6 + 2*l**2 - 3 + 0*l**6 + o wrt l?
-360*l**3
Let z(b) = 7*b**3 + 5*b**2 - 26*b + 5. Let g(p) = 7*p**3 + 6*p**2 - 26*p + 6. Let a(q) = 5*g(q) - 6*z(q). What is the second derivative of a(j) wrt j?
-42*j
Let a = -5 - -13. What is the third derivative of -8*k - 3*k**2 - 5*k**5 + a*k wrt k?
-300*k**2
Let b(i) be the second derivative of 2*i**6/5 - 14*i**3/3 - 12*i. What is the second derivative of b(u) wrt u?
144*u**2
Let a(d) = 9*d**3 + 3*d**2 - 10*d + 3. Let q(w) = 18*w**3 + 7*w**2 - 21*w + 7. Let t(k) = 7*a(k) - 3*q(k). Find the second derivative of t(b) wrt b.
54*b
What is the second derivative of -7 + 9 + 5*y**5 - 17*y + 44*y**5 wrt y?
980*y**3
Let a(w) = 21*w**4 + 5*w**2 - 5*w - 4. Let c(x) = 32*x**4 + 7*x**2 - 7*x - 6. Let f(j) = 7*a(j) - 5*c(j). What is the first derivative of f(q) wrt q?
-52*q**3
Let j(m) be the first derivative of -1 + 0*m**4 + m**2 + 0*m**3 + 0*m - 3/5*m**5. Find the second derivative of j(y) wrt y.
-36*y**2
Let z = 0 + 2. Find the second derivative of -22 - z*b**5 - 3*b + 22 wrt b.
-40*b**3
Let v(x) be the first derivative of -7*x**4/2 - 13*x + 6. What is the first derivative of v(b) wrt b?
-42*b**2
Let w be (-6)/9*3*-1. What is the third derivative of -3*z**4 - 4*z**4 - 17*z**w + 24*z**2 wrt z?
-168*z
Let p(o) be the second derivative of 3*o + 0*o**2 + 1/10*o**5 + 0 + 1/12*o**4 + 0*o**3. What is the third derivative of p(z) wrt z?
12
Suppose 3*s = 5*a + 18, a + 2*s + 3*s = 2. Let x(u) = -2*u - 4. Let k be x(a). Find the third derivative of -10*l**3 - l**5 + 2*l**k + 10*l**3 wrt l.
-60*l**2
Let m(k) be the second derivative of 23*k**5/20 + 3*k**4/4 + 6*k. Find the third derivative of m(v) wrt v.
138
Let o(z) = -2*z + 0*z - 2*z**3 + 6*z**3. Let i(m) = -9*m**3 + 7*m + 7*m - 6*m - 3*m. Let r(h) = 6*i(h) + 14*o(h). Find the second derivative of r(n) wrt n.
12*n
Let f(j) be the third derivative of 1/12*j**4 + 0*j**3 + 0*j**6 + 3*j**2 - 1/105*j**7 + 0*j + 0 + 0*j**5. Find the second derivative of f(d) wrt d.
-24*d**2
Let m(u) = 9*u**2 + 7. Let h(r) = 66 - 27*r**2 - 283 + 9*r**2 - 262*r**2. Let p(i) = 2*h(i) + 63*m(i). Differentiate p(q) with respect to q.
14*q
Suppose -11 = -2*k + 5*a, 0*k + a - 5 = -2*k. Suppose -k*q = -6 - 6. Find the third derivative of 14*w**3 - 2*w**q + 4*w**2 - 14*w**3 wrt w.
-48*w
Let y(d) be the third derivative of 1/12*d**4 - 1/40*d**6 + 3*d**2 + 0*d + 0 + 0*d**3 + 0*d**5. Find the second derivative of y(c) wrt c.
-18*c
What is the second derivative of -26*r**5 + 0*r**2 + 40*r + 0*r**2 - 2*r**5 wrt r?
-560*r**3
Let x(l) be the first derivative of 1 - 1/6*l**6 + 5/3*l**3 + 0*l**5 + 0*l**2 + 0*l**4 + 0*l. What is the third derivative of x(g) wrt g?
-60*g**2
Let p(z) be the second derivative of 0*z**4 + 0*z**3 - z**2 + 1/10*z**5 + 0 + 3*z. What is the derivative of p(a) wrt a?
6*a**2
Let z be ((-1)/2)/((-16)/96). Let y(o) be the second derivative of o**2 + 0 - 1/6*o**z - 3*o. Find the first derivative of y(v) wrt v.
-1
Let w be 9/6 - (-3)/(-2). Let n(y) be the third derivative of 1/60*y**5 - 1/6*y**3 + w*y**4 + 0 + 0*y - 2*y**2. Find the first derivative of n(d) wrt d.
2*d
Let v(f) be the third derivative of f**7/105 + f**5/30 - f**2. Find the third derivative of v(t) wrt t.
48*t
Let z(r) be the third derivative of 13*r**7/210 - r**6/120 - 19*r**3/6 - r**2 + 11*r. What is the derivative of z(v) wrt v?
52*v**3 - 3*v**2
Suppose -3*s - 2*y = -6, 5*y + 18 = 5*s - 17. Suppose a = -a + s. What is the first derivative of -i**a - 2 + 3*i**2 + 4*i - 4*i wrt i?
4*i
Let g = 11 - 6. Let o be ((-2)/(-5))/(1/g). What is the third derivative of l**o + 4*l**2 - 2*l**6 + 6*l**6 - 2*l**2 wrt l?
480*l**3
Suppose 3*c = 2*c. Let v(o) be the first derivative of c*o + 2/5*o**5 + 0*o**2 + 0*o**4 + 1/3*o**3 - 1. What is the third derivative of v(s) wrt s?
48*s
Let j(y) be the first derivative of 32*y**7/7 + 43*y**3/3 - 28. Find the third derivative of j(i) wrt i.
3840*i**3
Let k(x) be the second derivative of x**9/5040 + x**5/40 - x**4/4 - 3*x. Let g(d) be the third derivative of k(d). Differentiate g(y) with respect to y.
12*y**3
Let u(c) = -c. Let n(v) = -15*v - 15. Let m(o) = -n(o) + 12*u(o). What is the first derivative of m(y) wrt y?
3
Let k(r) be the second derivative of r**4/4 + 2*r**3/3 + 13*r. Find the second derivative of k(g) wrt g.
6
Let m = 9 + -15. Let i(w) = 3*w**3 - 4*w**2 + 6. Let u = 22 - 21. Let z(k) = 1. Let x(v) = m*z(v) + u*i(v). Find the third derivative of x(n) wrt n.
18
Let d(i) = -28*i**2 + 29*i + 4. Let h(g) = -g**2 + g + 1. Let y(b) = -d(b) + 4*h(b). What is the second derivative of y(x) wrt x?
48
Let w(d) be the second derivative of 1/6*d**4 + 0*d**3 + 3*d - 1/10*d**5 + 0 + 0*d**2. Find the third derivative of w(x) wrt x.
-12
Suppose -3 = 3*a - 9. Suppose 0*w = 5*f + 2*w - 12, -2*f - 1 = -5*w. What is the first derivative of 2*c**2 + f*c + 2 - a*c wrt c?
4*c
Let d be (-2)/(-6) + 2/(-6). Suppose p - 13 = -3*p + n, 3*p + 4*n - 5 = d. Find the first derivative of 2*t - 1 - 4*t + p*t wrt t.
1
What is the third derivative of -13*x**4 - 8*x**4 + 29*x**2 - 11*x**2 wrt x?
-504*x
Let v(l) be the third derivative of 7*l**5/60 - 3*l**4/8 - 10*l**2. What is the second derivative of v(h) wrt h?
14
Let x(s) = s**2. Let w(j) = 24*j**3 - 4*j**2. Let v(r) = -w(r) - 3*x(r). What is the third derivative of v(o) wrt o?
-144
Let c(h) be the second derivative of 3*h**5/4 + 7*h**4/6 - 27*h. Find the third derivative of c(y) wrt y.
90
Let k(i) = i**3 + 6*i**2 + 4*i - 5. Let q be k(-5). Let n(h) be the third derivative of q*h + 0 + 1/3*h**3 + 1/12*h**4 + h**2. Differentiate n(p) wrt p.
2
Let m(r) be the first derivative of 5*r**4/4 + 15*r + 20. Differentiate m(g) wrt g.
15*g**2
Let v(f) be the first derivative of -f**5/60 - f**3/2 - 3*f**2/2 + 3. Let o(w) be the second derivative of v(w). What is the derivative of o(l) wrt l?
-2*l
Suppose 10 - 35 = -5*r. Suppose 3*n = -5*u + 6*n + 18, 2*n = -r*u + 13. What is the third derivative of a**3 - u*a**2 + a**2 + 3*a**2 wrt a?
6
Let c = 15 + -14. Let t(a) be the first derivative of 0*a**5 - c + 1/2*a**2 - 2/3*a**6 + 0*a**4 + 0*a**3 + 0*a. What is the second derivative of t(u) wrt u?
-80*u**3
Suppose -12 = -2*m + 4*s - 2*s, -5*m = 3*s + 2. What is the third derivative of 3*r**2 + 4*r - 2*r**m - 4*r - r**3 wrt r?
-6
Let s = 0 - -4. What is the derivative of s*m**3 + 0*m**3 - 8 - m**3 + m**3 wrt m?
12*m**2
Let c(y) be the first derivative of -2*y**3/3 + 7*y + 1. What is the first derivative of c(n) wrt n?
-4*n
Let a(z) be the third derivative of -z**8/112 + 11*z**5/60 + z**4/24 + 65*z**2. What is the second derivative of a(f) wrt f?
-60*f**3 + 22
Let j(z) = 6*z**2 + 5*z - 7. Let q(r) = r**2 - 1. Let m(g) = 2*j(g) - 14*q(g). Find the second derivative of m(d) wrt d.
-4
What is the third derivative of 14*r**3 