e t(d) with respect to d.
-6*d
Let f(k) = -k**4 + 9*k**2 + 16*k + 9. Let v(u) = 2*u**2 + 4*u + 2. Let z(m) = -2*f(m) + 9*v(m). What is the second derivative of z(r) wrt r?
24*r**2
Let l be 0 - (2 - (2 + 9)). Suppose 0 = 4*v - 0*v - c - l, -5*c + 24 = 3*v. Differentiate 1 - 2*k**4 + k**4 + 1 - v with respect to k.
-4*k**3
Let m = -2 + 3. Suppose -4*z - 5*x = -11 - m, -2*z + 3*x = -6. What is the second derivative of -y + y**3 + 0*y**z - 2*y**3 wrt y?
-6*y
Find the third derivative of 120*x**2 - 2*x**4 + 2*x**4 + 3*x**6 - 125*x**2 wrt x.
360*x**3
Suppose d + 6 = 3*d, 0 = -2*t + d + 19. Find the second derivative of -3*g + t*g**3 - 5*g**3 + g**3 wrt g.
42*g
Let c(r) be the first derivative of 0*r - 1/2*r**4 + 2 + 0*r**2 + 2/3*r**3. Find the third derivative of c(g) wrt g.
-12
Suppose -27 + 3 = 4*y. Let r = y - -8. Find the second derivative of k + 2 + k**5 - 4*k - r wrt k.
20*k**3
Let o(h) be the third derivative of 2*h**6/15 + 5*h**3/3 + 4*h**2. Differentiate o(r) wrt r.
48*r**2
Suppose -10 = 3*a - 8*a. What is the second derivative of 15*h - 8*h + a*h**2 - h wrt h?
4
Let o = 5 - 3. Find the third derivative of 5*x**2 - o*x**2 + x**2 + 2*x**4 wrt x.
48*x
Let o(g) = -80*g - 80. Let n(s) = s**2 - 6*s + 10. Let i be n(4). Let c(p) = -3*p - 3. Let x(y) = i*o(y) - 55*c(y). What is the derivative of x(d) wrt d?
5
Let t(l) be the third derivative of -13*l**5/30 - 3*l**3 - 23*l**2. Differentiate t(n) with respect to n.
-52*n
Let g(i) be the second derivative of -i**3/6 + 5*i**2 - 2*i. Let q be g(8). What is the third derivative of c**4 - c**4 - 4*c**2 - 2*c**4 + q*c**2 wrt c?
-48*c
Let y be 4 + (-2 - -1) - 1. Suppose y*v = 11 - 3. Find the third derivative of -x**2 + 4*x**v - 2*x**4 - x**2 wrt x.
48*x
Let d(h) = 3*h - 6. Let m(x) = -x**2 + 5*x + 7. Let k be m(5). Let n(p) = 6*p - 11. Let i(s) = k*d(s) - 4*n(s). Find the first derivative of i(j) wrt j.
-3
Let o(i) = -1. Let z = 5 + -2. Let g(l) = -l + 1 + 0 - l**z + 1. Let f(u) = g(u) + 2*o(u). Find the second derivative of f(v) wrt v.
-6*v
Differentiate 0*t + 0 - 4 - 7*t with respect to t.
-7
Suppose -3*k + 27 = -5*o, 4*k - 3*o = -0*k + 25. Find the second derivative of 0*u - 18*u**k + 15*u**4 - u wrt u.
-36*u**2
Find the third derivative of -22*z**2 + 17*z**3 - 163*z + 163*z wrt z.
102
Suppose 3*m + 4*y + 0*y - 26 = 0, -5*m - 10 = -4*y. Find the third derivative of 2*t**m + 2*t**2 - 3*t**5 + t**5 wrt t.
-120*t**2
What is the third derivative of 3*g**3 - 9*g**3 - 6*g**2 + 10*g**3 + 15*g**2 wrt g?
24
Let j(i) = i**2 + 4*i + 3. Let q be j(-4). What is the second derivative of -2*k**3 + k**3 - 2*k**q + k wrt k?
-18*k
Suppose -16 = -o + 4*r, 0*o + 5*o - r - 23 = 0. Find the third derivative of -5*w**2 + 0*w**6 + 0*w**6 - o*w**6 + 2*w**2 wrt w.
-480*w**3
Let m = 12 + -7. What is the second derivative of 55*w - 116*w + 51*w - 10*w**m wrt w?
-200*w**3
What is the first derivative of 28 - 7 - 8*q**3 - 12 wrt q?
-24*q**2
Suppose -2*m + 6 = 5*c, 0 = -m + 3*c + 3. Suppose -3*y = -12 + m. Find the third derivative of y*s**2 - s**2 + 0*s**4 + 0*s**4 - 2*s**4 wrt s.
-48*s
Suppose -2*o + 5 = 1. Find the third derivative of -8 - 3*t**3 - 14 + 4*t**o + 22 wrt t.
-18
What is the third derivative of 0*x**6 - 2*x**2 + 13*x**2 - 2*x**6 - 3*x**6 wrt x?
-600*x**3
Let n(c) be the second derivative of c**5/30 - c**4/6 + c**3/2 - c. Let y(j) be the second derivative of n(j). Find the first derivative of y(x) wrt x.
4
Suppose m + 2 = 1. Let l be ((-4)/(-8))/(m/(-4)). What is the third derivative of -3*f**3 + 3*f**3 - f**2 + l*f**6 wrt f?
240*f**3
Find the third derivative of -10*o**2 + 5*o**3 + 6*o**2 - 5*o + 5*o wrt o.
30
Let b be ((-3)/6)/(2/(-12)). Suppose 0*z = z - 3. What is the first derivative of 0*k**b + 2*k**3 - 2 - z*k**3 wrt k?
-3*k**2
Let p(z) = -14*z**3 + 17*z - 3. Let t(f) = 70*f**3 - 84*f + 16. Let y(g) = -16*p(g) - 3*t(g). What is the second derivative of y(r) wrt r?
84*r
Let r(u) be the third derivative of 5*u**5/4 + 65*u**4/24 - 27*u**2. What is the second derivative of r(p) wrt p?
150
Let w = 23 - 19. Let j(k) be the third derivative of 0 - 1/120*k**6 + 0*k + 0*k**5 + 0*k**w - 1/6*k**3 + 2*k**2. What is the derivative of j(a) wrt a?
-3*a**2
Let n be (-1)/(-3) + (-16)/(-6). Let x(b) = b**3 + 3*b**2 + 3. Let f be x(-3). Find the first derivative of -5 - f*s**4 - n + 6 wrt s.
-12*s**3
Suppose 11*w = 6*w + 5. Let j = 3 + w. Differentiate 1 + 3 - 1 - u**j wrt u.
-4*u**3
Let j(q) = -8*q**3 + 8*q**2 - 2. Let a(v) = -9*v**3 + 7*v**2 - 2. Let g(o) = -7*a(o) + 6*j(o). Find the first derivative of g(s) wrt s.
45*s**2 - 2*s
Let h(k) = -7 + 4 + 6*k**3 + 1 + 3. Let x(a) = -a**4 - 11*a**3 - 3. Let r(j) = -11*h(j) - 6*x(j). Differentiate r(i) with respect to i.
24*i**3
Let c(y) = -y**3 + 9*y**2 + y - 5. Let o be c(9). What is the third derivative of 2*x**2 - 9*x**4 - 5*x**2 - 5*x**2 + o*x**2 wrt x?
-216*x
Let w be (-4)/6 - (-140)/30. Differentiate 4*r**w + 8 - r**4 - 7 wrt r.
12*r**3
What is the second derivative of -141 - 2*x**5 + 141 - 20*x + 0*x wrt x?
-40*x**3
Let p = 5 - 3. Let l(z) be the third derivative of -1/120*z**6 + p*z**2 + 0 + 0*z**4 + 0*z - 1/30*z**5 + 0*z**3. What is the third derivative of l(f) wrt f?
-6
Let x(y) be the second derivative of -y**5/4 - 5*y**4/12 - 53*y**3/6 + 60*y. Find the second derivative of x(d) wrt d.
-30*d - 10
Let o(j) be the second derivative of j**5/10 - 6*j**3 + 9*j**2/2 - 21*j. Differentiate o(p) with respect to p.
6*p**2 - 36
Suppose 9*z - 12 = 3*z. Let q(d) = d**2 - 7*d + 9. Let s be q(6). Find the third derivative of i**3 + i**z + 0*i**s + 0*i**2 wrt i.
6
Differentiate 22*h**4 - 19*h**3 + 12*h**3 + 7*h**3 + 19 with respect to h.
88*h**3
What is the third derivative of 13*g**3 - 2*g + 6*g**2 - 26*g**3 + 2*g wrt g?
-78
Let p = -1 - -8. Let k = p - 4. Find the second derivative of -5*m - m**2 + k*m - m**2 wrt m.
-4
Let p = -5 - -4. Let m = 1 - p. What is the first derivative of 2*a**4 - 4*a**4 + a**4 - m + 3 wrt a?
-4*a**3
Let o(n) be the third derivative of n**8/84 - n**7/21 - 5*n**4/4 - 14*n**2. What is the second derivative of o(t) wrt t?
80*t**3 - 120*t**2
Suppose -2*u - 5*c = 19, -22 = u - 0*u + 5*c. What is the second derivative of -6*f + 2*f - 3*f + 2*f**3 + 0*f**u wrt f?
12*f
Let q = 3 - 1. Find the third derivative of k**q + 3*k**2 + 2*k**5 - 2*k**2 + 0*k**2 wrt k.
120*k**2
Let v(h) = h**3 + 7*h**2 + 6*h + 6. Let x be v(-6). What is the second derivative of -x*y + 5*y**4 - 3*y**4 + 2*y wrt y?
24*y**2
Let t(w) be the first derivative of 0*w**5 + 0*w**4 + 0*w - 2 + 0*w**3 - 1/2*w**2 + 1/3*w**6. Find the second derivative of t(h) wrt h.
40*h**3
Let d(c) be the second derivative of -19*c**5/20 - 11*c**3/6 - c**2 + 6*c + 4. Find the second derivative of d(w) wrt w.
-114*w
Let f = 11 - 6. What is the third derivative of -4*u**2 + 0*u**f - 3*u**5 + 0*u**2 + u**2 wrt u?
-180*u**2
Let i(f) = f**4 - 3*f. Let g(w) = -w**4 + 5*w - 1. Suppose -o - h + 3*h = -9, 2*o - 2*h = 14. Let l(a) = o*i(a) + 3*g(a). What is the derivative of l(y) wrt y?
8*y**3
Suppose -b + v = -1, -5*b - 5*v - 1 + 16 = 0. What is the derivative of -2 + b*w**2 - 1 + 5 wrt w?
4*w
Let y be (-5)/(1/1 + -2). Find the third derivative of -4*r**2 + y*r**2 - 2*r**2 + 2*r**6 wrt r.
240*r**3
Let l = 29/60 - 5/12. Let f(w) be the second derivative of 0*w**4 + 1/3*w**3 + 0*w**2 - l*w**6 + w + 0 + 0*w**5. What is the second derivative of f(r) wrt r?
-24*r**2
Let i(a) be the second derivative of 0*a**6 + 1/6*a**4 + 0*a**5 + 1/14*a**7 + 0 + 0*a**2 + 0*a**3 + 4*a. What is the third derivative of i(k) wrt k?
180*k**2
Let k be 16/64 - (-19)/4. What is the third derivative of -k*b**3 + 44*b**2 - 38*b**2 - b**3 wrt b?
-36
Let u(d) be the second derivative of 0 + 0*d**2 + 1/4*d**5 + 1/4*d**4 - 6*d + 0*d**3. What is the third derivative of u(t) wrt t?
30
Let y(a) be the third derivative of a**7/840 + a**5/30 + a**3/6 + 2*a**2. Let l(t) be the first derivative of y(t). What is the second derivative of l(h) wrt h?
6*h
Let j(s) be the second derivative of -s**6/40 - s**4/8 + s**2/2 - 2*s. Let i(o) be the first derivative of j(o). Find the second derivative of i(b) wrt b.
-18*b
What is the third derivative of 3*l**3 + l**2 - 2*l**2 + 4*l**2 wrt l?
18
Find the third derivative of 2*z**5 - 3*z**2 + 4*z**2 - 8*z**2 wrt z.
120*z**2
Let h(w) 