first derivative of x(t) wrt t.
3
Let z be 3 - 1 - (1 + -2). What is the first derivative of c**z + 0 - 4 + c**3 wrt c?
6*c**2
Let b be ((-1)/5 + -1)*-5. Let w(a) = 7*a**4 + 6*a**2 + 5. Let n(k) = 8*k**4 + 7*k**2 + 6. Let q(s) = b*n(s) - 7*w(s). What is the derivative of q(j) wrt j?
-4*j**3
What is the second derivative of 6*g + 6*g + 36*g**3 + 11*g**4 - 36*g**3 wrt g?
132*g**2
Let q(d) be the third derivative of 0*d**3 + 1/12*d**4 + 0*d + 1/30*d**5 - 2*d**2 + 0. Find the second derivative of q(y) wrt y.
4
Find the third derivative of -4*d**2 + 5*d**2 - 14*d**5 - 7*d**5 wrt d.
-1260*d**2
Let c(v) = v**3 - 4*v**2 - 6*v + 7. Let o be c(5). Find the second derivative of 5*b**3 + o*b + 0*b**3 - 5*b**3 + 2*b**4 wrt b.
24*b**2
Find the second derivative of 33 - 33 - 17*g - 15*g**3 wrt g.
-90*g
Let c(r) be the first derivative of -r**9/72 + r**5/12 + 3*r**2 - 7. Let s(l) be the second derivative of c(l). What is the third derivative of s(t) wrt t?
-840*t**3
Let a(k) be the third derivative of -2*k**7/105 + 13*k**4/24 - 3*k**2. Find the second derivative of a(z) wrt z.
-48*z**2
Let s(l) be the third derivative of -l**9/126 + l**5/20 + 4*l**2. Find the third derivative of s(v) wrt v.
-480*v**3
Let b(c) be the first derivative of -c**6/40 - 5*c**4/24 + c**2 + 5. Let m(f) be the second derivative of b(f). What is the second derivative of m(n) wrt n?
-18*n
Let c be (32/12)/((-4)/(-6)). What is the third derivative of -2*b**4 + 0*b**4 + 2*b**2 - 3*b**c + 2*b**4 wrt b?
-72*b
Let b(d) be the third derivative of d**4/12 - d**3/3 - 3*d**2. Find the first derivative of b(o) wrt o.
2
Let h(c) = -c**3 + 2*c**3 + 2*c + 4*c**2 + 0*c - 1. Let d be h(-2). What is the second derivative of d*x - 4*x**4 + 2*x**4 - 3*x - x wrt x?
-24*x**2
Differentiate -12*d**3 - 14*d**2 + 14 - 3*d**3 + 14*d**2 with respect to d.
-45*d**2
Let r be (18/(-4) - -4)*0. Differentiate 1 - 1 + 5 - 3*c**3 + r*c**3 with respect to c.
-9*c**2
Let n(r) be the third derivative of -1/120*r**6 + 0 - 1/24*r**4 + 0*r**3 + 0*r**5 + 0*r - 3*r**2. What is the second derivative of n(m) wrt m?
-6*m
What is the second derivative of 6*g + 25*g**4 + 13*g**4 + 12*g + 2*g wrt g?
456*g**2
Let c be (-17)/(-3) - 2/3. Let x(z) = z**3 - 3*z**2 + 2. Let t be x(3). Find the second derivative of w**4 - 4*w - 2*w**4 + c*w - t*w wrt w.
-12*w**2
Suppose 4 = -k - 2*k - 4*j, -4*k + 4*j = -32. Let y = -5 - -8. Find the third derivative of -y*w**4 + 5*w**2 + w**k - 3*w**2 wrt w.
-48*w
Let k(o) = -65*o**2 + 82*o. Let j(v) = -33*v**2 + 41*v. Let g(i) = 9*j(i) - 4*k(i). What is the second derivative of g(q) wrt q?
-74
Let h(o) be the first derivative of 3*o**6 - 11*o**3/3 + 9. What is the third derivative of h(z) wrt z?
1080*z**2
Let q(g) = -g + 1. Let x(y) = 12*y + 11. Let h(b) = 18*q(b) + 2*x(b). What is the first derivative of h(m) wrt m?
6
Let j(r) = r**3 + r + 2. Let w be j(0). Suppose 3*m = 4*m - w*y, 2*m - 2*y - 2 = 0. Find the third derivative of 4*x**2 - 5*x**m - x**6 + 0*x**6 wrt x.
-120*x**3
Let z(n) be the third derivative of n**2 - 7/6*n**3 + 0 + 1/4*n**4 + 0*n. Differentiate z(q) with respect to q.
6
Let p = -13 + 17. Find the third derivative of -7*t**2 + t**2 - p*t**3 + 2*t**2 wrt t.
-24
Let w(g) be the first derivative of -2*g**5/5 + 2*g**4 - 40*g**3/3 + 19. Find the third derivative of w(y) wrt y.
-48*y + 48
Let y be (0 + -2)*(-9)/6. Let m be -1*3/y*-2. Find the third derivative of -21 - 3*x**2 + 21 - m*x**4 wrt x.
-48*x
Find the third derivative of -12*t**5 + 14*t**2 + 4*t**5 - 3*t**2 wrt t.
-480*t**2
Let k(b) = 5*b**4 - 3*b**3 + 3*b. Let m(j) = -6*j**4 + 4*j**3 + j**2 - 4*j. Let u(s) = 4*k(s) + 3*m(s). What is the third derivative of u(f) wrt f?
48*f
Let j = -1/16 + 9/16. Let b(g) be the third derivative of j*g**3 + 1/24*g**4 + 3*g**2 + 0*g + 0. Differentiate b(m) with respect to m.
1
Let j(a) be the second derivative of a**4/2 + 18*a**2 - 6*a. Differentiate j(l) wrt l.
12*l
Let q(i) be the third derivative of i**7/35 + 3*i**5/20 + 7*i**2. Find the third derivative of q(o) wrt o.
144*o
Suppose -6*w + 4 = 4. Let n(i) be the second derivative of -1/20*i**5 + 3/2*i**2 + w*i**4 + 0 + 3*i + 0*i**3. What is the first derivative of n(t) wrt t?
-3*t**2
Let i(d) be the third derivative of -1/6*d**3 + 0*d - d**2 - 1/8*d**4 + 0. What is the first derivative of i(p) wrt p?
-3
Let d be (6/9)/((-2)/(-9)). Let l(v) = -v**2 + v - 5. Let q(x) = -x**2 - 3. Let g(m) = d*l(m) - 5*q(m). Find the second derivative of g(c) wrt c.
4
Find the third derivative of -17*y**2 - 226*y + 226*y + 15*y**4 wrt y.
360*y
What is the first derivative of -8*m**2 - 6 + 4 + 4*m**2 - 2 wrt m?
-8*m
Let n be (4/(-10))/(1/(-10)). Suppose -9 = -n*s + 3. What is the second derivative of -3*v**3 + 2*v - v**3 + 2*v**s wrt v?
-12*v
Suppose 2*m - 8 + 0 = 0. Find the second derivative of w**m - 2*w**4 + 0*w**4 - w wrt w.
-12*w**2
Let b(a) be the first derivative of -3*a**3 + 9*a + 2. Find the first derivative of b(t) wrt t.
-18*t
What is the second derivative of -15*v - 8*v**4 - 4*v**4 + 0*v**4 wrt v?
-144*v**2
Let p(h) = 10*h**2 - 5*h + 2. Let x(q) = 9*q**2 - 4*q + 1. Let r be 15*((-12)/9)/(-4). Let y(m) = r*x(m) - 4*p(m). What is the derivative of y(f) wrt f?
10*f
Let d(h) be the second derivative of -h**10/1680 - h**6/90 + h**3/2 - 4*h. Let b(p) be the second derivative of d(p). Find the third derivative of b(q) wrt q.
-360*q**3
Let o(y) = 15*y**2 + 6*y + 7. Let g(u) = 8*u**2 + 3*u + 4. Let v be (7/(-2))/(2/(-4)). Let m(p) = v*g(p) - 4*o(p). Find the second derivative of m(s) wrt s.
-8
Let g(r) = r**3 - r**2 - r + 1. Let t be g(2). What is the third derivative of t*c**2 + 2*c**3 - c**3 - 4*c**3 wrt c?
-18
Suppose -l + 6*l = 10. Suppose -8 = l*f - 6*f. Find the third derivative of 2*j**5 - f*j**5 + 3*j**6 + 4*j**2 wrt j.
360*j**3
Let y(a) be the second derivative of -a**4/12 + 5*a**3/6 + 5*a. Find the second derivative of y(n) wrt n.
-2
Let s(f) = 23*f + 61. Let h(q) = -90*q - 245. Let w(b) = 2*h(b) + 9*s(b). Find the first derivative of w(y) wrt y.
27
Let w(f) = 2*f - 8. Suppose 4*a = -v + 6, a = 3*a. Let h be w(v). Differentiate -1 - 3*j**h + 4*j**4 + 0*j**4 with respect to j.
4*j**3
Find the third derivative of 8*c**4 + 13*c**2 - 55*c**2 + 24*c**2 wrt c.
192*c
Suppose 5*c + 5*w + 25 = 0, 4*c + w = 5*w - 4. Let p be (-6*2/c)/2. What is the third derivative of 2*d**2 - d**6 + 0*d**p + 0*d**6 wrt d?
-120*d**3
Let h(s) be the third derivative of s**6/8 + s**5/60 + 10*s**2. What is the third derivative of h(a) wrt a?
90
Let r(t) = t - 2. Let m be r(2). Suppose -p = q - m*p - 4, -17 = -5*q - 2*p. Find the third derivative of -w**3 - q*w**2 + 2 - 2 wrt w.
-6
Differentiate -2 + 5 + 55*s**4 - 56*s**4 + 2 wrt s.
-4*s**3
Find the third derivative of 2*u**2 - 5*u + 5*u - 4*u**3 - 3*u**2 wrt u.
-24
Let v(w) = -w. Let f be v(0). Suppose -2 = -p - f. What is the derivative of -p*l + 1 - l + 0*l wrt l?
-3
Find the second derivative of 5*y**3 - 2*y**2 + 2*y**2 + y + 0*y**3 wrt y.
30*y
Let f = -6 + 8. What is the third derivative of -g + 0*g + 2*g**3 + g + 4*g**f wrt g?
12
Differentiate 6*l**4 - 3 + 3*l**4 + 4*l**4 - 17 with respect to l.
52*l**3
Let o(f) be the second derivative of -f**6/15 + f**3/2 + 11*f. What is the second derivative of o(t) wrt t?
-24*t**2
Let l(n) = 3*n**2 + 2*n + 6. Let y(c) = -3*c**2 - 3*c - 6. Let g(i) = -3*l(i) - 2*y(i). Differentiate g(s) wrt s.
-6*s
What is the third derivative of 8*i**3 - 4*i**2 - i**3 + 7*i**2 - 6*i**2 wrt i?
42
Let a = -4 + 5. Let b(n) = -n**4 + n**3 - 1. Let h(x) = 12*x**4 - 5*x**3 + 11. Let t(y) = a*h(y) + 5*b(y). What is the first derivative of t(l) wrt l?
28*l**3
Let y(a) be the first derivative of 5*a**4/4 - a**2/2 - 13. What is the second derivative of y(m) wrt m?
30*m
Let b(r) be the second derivative of r**9/1512 + r**5/30 + r**3/3 + r. Let i(n) be the second derivative of b(n). Find the second derivative of i(u) wrt u.
40*u**3
Let r(k) = -4 - 3 + 6*k + 6 - 4*k. Let y be r(3). Find the third derivative of -3*v**5 + 6*v**y + 2*v**2 + v**5 - 3*v**2 wrt v.
240*v**2
Let o(j) be the second derivative of 3*j + 1/30*j**6 + 0*j**4 + j**2 + 0*j**5 + 0*j**3 + 0. Differentiate o(q) wrt q.
4*q**3
What is the first derivative of -8 - 11 - 17*d + 11 wrt d?
-17
Let w be 2/3 + (-25)/15. Let v = w - -6. Find the third derivative o