 + 5*k**3 + 3*k**2 wrt k?
12
Let r(t) be the first derivative of 3 - 5/4*t**4 - 2/3*t**3 + 0*t**2 + 0*t. What is the third derivative of r(h) wrt h?
-30
Let b(x) be the third derivative of x**4/8 + x**3 - 5*x**2. What is the first derivative of b(z) wrt z?
3
Let q = 4 - 2. Suppose -j = -q*j. Differentiate j*a**3 + 0*a**3 - 2*a**4 + 2 wrt a.
-8*a**3
Let i(d) be the third derivative of d**8/1344 + d**6/240 + d**4/8 - 5*d**2. Let r(x) be the second derivative of i(x). Find the second derivative of r(o) wrt o.
30*o
Let u(d) = -27*d + 1. Let q(g) = -13*g + 1. Let s(z) = 7*q(z) - 3*u(z). Differentiate s(h) with respect to h.
-10
Let t(m) = -m + 8. Suppose 2 = r - 4. Let h be t(r). What is the third derivative of 0*j**h + 3*j**3 + 6*j**2 - 4*j**2 wrt j?
18
Let q(s) be the second derivative of 1/15*s**6 + 0*s**3 + 0 + 0*s**4 - 2*s**2 + 0*s**5 - 4*s. Differentiate q(o) with respect to o.
8*o**3
Let y be (4/3)/(3/9). What is the second derivative of -k + 5*k + 4*k + y*k**3 - 3*k wrt k?
24*k
Let d(g) = g - 1. Let c be d(3). What is the third derivative of 5*l**c + 7*l**4 + 149*l**3 - 149*l**3 wrt l?
168*l
Let q(y) be the third derivative of y**7/70 - 7*y**3/6 + 21*y**2. What is the first derivative of q(t) wrt t?
12*t**3
Let w(v) = 3*v**3 + 3*v + 2. Let z(j) = -j**4 - 17*j**3 - 17*j - 11. Let o(k) = 34*w(k) + 6*z(k). What is the derivative of o(g) wrt g?
-24*g**3
Let w(a) = 5*a**3 + 3*a**2 + 2*a + 2. Let l(q) = q**3 - q**2 + q + 1. Let k(p) = -2*l(p) + w(p). What is the third derivative of k(u) wrt u?
18
Suppose 2*p + 0*p = 4*t + 30, 0 = 4*p - 4*t - 60. What is the second derivative of 15*h**3 + h**4 - p*h**3 - 3*h wrt h?
12*h**2
Let h(r) be the third derivative of -r**5/30 - r**4/24 + r**2. Find the second derivative of h(u) wrt u.
-4
Let v(u) be the first derivative of u**7 + 23*u**3/3 + 23. What is the third derivative of v(p) wrt p?
840*p**3
What is the third derivative of -17*u**3 - 55*u**2 - 3*u**3 + 95*u**2 wrt u?
-120
Let k(c) be the third derivative of c**4/3 + 5*c**3/6 - 6*c**2. What is the first derivative of k(f) wrt f?
8
Suppose -2*g + 13 = 3. Differentiate -5*l**2 + 3*l**4 + g*l**2 + 5 wrt l.
12*l**3
Let a(p) = 14*p**5 + 3*p**4 + 3*p**3 + 17*p. Let w(l) = 27*l**5 + 5*l**4 + 5*l**3 + 35*l. Let s(y) = -5*a(y) + 3*w(y). Find the second derivative of s(g) wrt g.
220*g**3
Let c(t) be the third derivative of t**4/12 - 5*t**3/3 + 2*t**2. Let q(h) = -h + 9. Let y(b) = 5*c(b) + 6*q(b). Differentiate y(r) with respect to r.
4
Suppose -4*z = -1 - 11. What is the third derivative of -6*g**z + 6*g**3 - g**2 - 6*g**5 wrt g?
-360*g**2
Let u(o) = o - 6. Let k be u(9). Suppose z - 8 = f, k*z + f = -f + 4. What is the first derivative of z - 2*c**2 - 3 + 3*c**2 wrt c?
2*c
Let p(x) = x**5 + x**3 + x**2. Let s(o) = -64*o**5 - 32*o**3 - 32*o**2 - 32*o. Let v(h) = -32*p(h) - s(h). Find the second derivative of v(a) wrt a.
640*a**3
Differentiate 0 + 119*s**4 - 125*s**4 - 2 wrt s.
-24*s**3
Let l(w) be the second derivative of 0*w**4 + 3/20*w**5 + 7/2*w**2 - 8*w + 0*w**3 + 0. Find the first derivative of l(q) wrt q.
9*q**2
Let r(k) be the third derivative of -1/6*k**4 + 0 + k**2 + 0*k - 1/2*k**3. What is the derivative of r(d) wrt d?
-4
Let f(z) be the first derivative of z**7/280 - z**5/60 - z**3/3 - 3. Let m(g) be the third derivative of f(g). What is the second derivative of m(v) wrt v?
18*v
Suppose -4*w + 4 = 0, -2*w = 5*r + 3*w - 15. Suppose -3*k + 7 + 2 = 0. Find the third derivative of -o**3 + 0*o**2 - o**r - o**k wrt o.
-12
What is the second derivative of -20*j - 72*j**4 + 32*j**4 + 27*j**4 wrt j?
-156*j**2
Let p(w) be the first derivative of -3 - w + w**3 + 10 - 5. What is the derivative of p(g) wrt g?
6*g
Find the third derivative of w**3 + w**2 - w**3 - 78*w**5 + 71*w**5 wrt w.
-420*w**2
Let p(a) be the third derivative of -a**7/280 + a**5/40 + a**3/2 - a**2. Let o(s) be the first derivative of p(s). Find the second derivative of o(g) wrt g.
-18*g
Suppose 0 = -3*c + 4*c - 6. What is the third derivative of -5*i**3 + 3*i**2 + 4*i**3 - c*i**2 wrt i?
-6
Suppose 0 = 3*p + 5*b - 17, -3*b = -2*b + 2. Suppose 14 = 2*c + 3*s, -5*c + 4*s = 2 + p. What is the second derivative of -c + k + 1 + 2*k**5 wrt k?
40*k**3
What is the second derivative of -5*f**4 - 13*f**4 - 15*f + 6*f**4 wrt f?
-144*f**2
Let s be (-5 - (-5 + 2)) + 5. What is the derivative of 1 + s + o - 2*o + 3*o wrt o?
2
Suppose -3 = -4*i + 9. Suppose g = -4*n + 1 + 9, i*n + 5*g + 1 = 0. Find the second derivative of j**n - j**3 + j**3 - 2*j wrt j.
6*j
Let u = 6 + -4. Suppose -d - u*d = -12. Find the second derivative of 0*j**4 + j - 2*j**d - 2*j wrt j.
-24*j**2
Suppose 4*v = -5*i + 48, -4*v - i - 2*i = -48. Suppose v = 5*o + u, o - 2*u = -o + 12. Find the first derivative of t**4 + 1 + 1 - o + t**4 wrt t.
8*t**3
Let g(i) = -i**2 + i - 1. Let h(u) = -11*u**2 + 12*u + 3. Let y(k) = 6*g(k) + 2*h(k). Find the second derivative of y(q) wrt q.
-56
Let s = -15 + 19. Find the second derivative of 46*q - 2*q**4 - 40*q - 4*q**s wrt q.
-72*q**2
Let q(o) be the first derivative of -3/2*o**2 + 0*o + 3 + 1/5*o**5 + 0*o**4 + 0*o**3. Find the second derivative of q(y) wrt y.
12*y**2
Let j(f) = -f**3 + 3*f - 25. Let i(n) = -n**3 + n - 1. Let m(x) = -3*i(x) + j(x). What is the derivative of m(o) wrt o?
6*o**2
Suppose 0 = 5*c + 2*p - 102, 2*c - 39 = 4*p - 3*p. Suppose -5*m + d = -1, -c = -d - 4*d. Find the first derivative of 2 + r**3 - m + 0*r**3 wrt r.
3*r**2
Differentiate 2*t - 2*t + 73 - 74 - 2*t**2 wrt t.
-4*t
Let x(u) be the third derivative of 7*u**5/30 - u**4/3 + u**2. Find the second derivative of x(i) wrt i.
28
Let b(h) be the first derivative of -4*h**7/7 + 2*h**3/3 - 7. Find the third derivative of b(a) wrt a.
-480*a**3
Let x(h) = 15*h**3 - 15*h**2 - 15*h + 15. Let s(r) = -r**4 + r**3 - r**2 - r. Let a(d) = 15*s(d) - x(d). What is the derivative of a(z) wrt z?
-60*z**3
Let f(g) be the third derivative of 4*g**7/105 - g**5/4 - 8*g**2. What is the third derivative of f(d) wrt d?
192*d
Let n be 2/(15/(-6) - -3). Let u(m) be the second derivative of -1/12*m**n - 2*m - 1/3*m**3 + 0*m**2 + 0. What is the second derivative of u(y) wrt y?
-2
Let y(j) = -j**3 + j**2 - j + 1. Let w(c) = -3*c**3 + 2*c**2 - 2*c + 1. Let g(b) = w(b) - 2*y(b). Differentiate g(r) wrt r.
-3*r**2
Let a(q) be the third derivative of -5*q**4/4 - 11*q**3/6 + 2*q**2 - 4*q. Differentiate a(h) wrt h.
-30
Find the third derivative of 2*g**4 + 67*g**2 - 2*g**4 + 13*g**6 - 68*g**2 wrt g.
1560*g**3
Let y = -30 - -44. Let t be 4/y - 12/(-7). Find the second derivative of -2*m - 3*m**3 + t*m**3 + 0*m**3 + 0*m**3 wrt m.
-6*m
Let t(l) be the first derivative of -l**5 + 9*l**3 + 11. Find the third derivative of t(w) wrt w.
-120*w
Find the second derivative of 3*y**4 - 7*y + y + 8*y + 11*y wrt y.
36*y**2
What is the second derivative of -15*k**3 - 18*k**3 + 11*k + 8*k**3 - 6*k**3 wrt k?
-186*k
Let m(x) be the first derivative of 2*x**5/5 + 2*x + 14. What is the first derivative of m(y) wrt y?
8*y**3
Let h(c) = c**4 + c**3 + c**2 - c. Let i(d) = -17*d**4 - 3*d**3 - 3*d**2 + 3*d - 17. Let n(x) = -3*h(x) - i(x). Find the first derivative of n(s) wrt s.
56*s**3
Find the third derivative of 13*y**4 - 1 - 37*y**4 + 1 + 22*y**2 wrt y.
-576*y
Let r(s) be the second derivative of 11*s**6/30 + 16*s**3/3 + 34*s. What is the second derivative of r(v) wrt v?
132*v**2
Let g(f) = -2*f**3 - 3*f**2 - 3*f - 3. Let i(l) = 7*l**3 + 11*l**2 + 11*l + 12. Let v(u) = 22*g(u) + 6*i(u). Differentiate v(c) wrt c.
-6*c**2
Suppose -6 = -k - 1. Find the second derivative of -5*d - 4*d**5 + 0*d**k + 7*d**5 wrt d.
60*d**3
Let g(i) be the second derivative of 2*i + 1/20*i**5 + 0*i**4 + 1/2*i**2 + 0 + 0*i**3. Differentiate g(n) with respect to n.
3*n**2
Let f(i) be the second derivative of i**5/30 - i**4/24 + i**2 + 2*i. Let q(c) be the first derivative of f(c). What is the second derivative of q(h) wrt h?
4
Let i(z) be the first derivative of z**6/3 - 23*z**3/3 - 12*z**2 - 5. What is the second derivative of i(q) wrt q?
40*q**3 - 46
Let l(v) = v**3 + 10*v**2 - v - 7. Let y be l(-10). What is the third derivative of y*x**2 + 3*x**6 - x**2 - x**2 wrt x?
360*x**3
Suppose -j - 6 = -3*m, 4*j - 6*m + 3*m = 3. Suppose 5*w - c - 14 - 1 = 0, 0 = j*w - 2*c - 16. What is the second derivative of