y**2
Find the second derivative of 26*u**4 - 15*u - 14*u + 9*u wrt u.
312*u**2
Let h(n) be the first derivative of -11*n**4/4 + 34*n + 29. Find the first derivative of h(l) wrt l.
-33*l**2
Let r(g) be the third derivative of 2*g**5/15 - g**3/3 - 7*g**2. Differentiate r(t) wrt t.
16*t
Let z(i) = 2*i**2 - 11. Let h(t) = t**3 - t**2. Let x(y) = -2*h(y) - z(y). What is the first derivative of x(l) wrt l?
-6*l**2
Let l(u) be the first derivative of -25*u**6/3 + 2*u**3/3 - u**2/2 - 22. Find the third derivative of l(n) wrt n.
-3000*n**2
Let q(i) = -i**3 + i**2. Let w(u) = u**4 + 6*u**3 + 47*u**2 + 11. Let b(y) = 6*q(y) + w(y). Differentiate b(p) wrt p.
4*p**3 + 106*p
Let x(u) be the first derivative of 9*u**4/4 - 5*u**2 - 10. What is the second derivative of x(w) wrt w?
54*w
Let x(l) = l**3 - 7*l**2 + 4. Let m(k) = 4 - k**3 + 2*k**3 + 0 - 6*k**2. Let n(q) = -7*m(q) + 6*x(q). Find the first derivative of n(h) wrt h.
-3*h**2
What is the third derivative of -3*r**3 - 10*r + 4*r**2 + 10*r wrt r?
-18
Suppose 5*f - 2*m = -8, -3*f + m = -m + 8. What is the first derivative of -9*a**2 + f*a + a + 9 - a wrt a?
-18*a
Let w(n) = n - 2. Let o be w(5). Find the second derivative of -8*p + 184*p**3 - 3*p**5 - 184*p**o wrt p.
-60*p**3
Let l(c) be the second derivative of c**7/70 + c**3/3 + 3*c**2/2 + 5*c. Let j(b) be the first derivative of l(b). Differentiate j(u) with respect to u.
12*u**3
What is the second derivative of 5*o + 2 - o**2 + 3*o**3 + 0*o**2 - 1 - 2*o wrt o?
18*o - 2
Let v(j) = 15*j**4 + 3*j**3 - 32*j**2 - 3*j. Let t(d) = -30*d**4 - 7*d**3 + 65*d**2 + 7*d. Let g(h) = -3*t(h) - 7*v(h). Find the third derivative of g(f) wrt f.
-360*f
Let v(r) be the third derivative of -11*r**6/120 - 11*r**3/6 - 5*r**2. What is the first derivative of v(w) wrt w?
-33*w**2
What is the third derivative of 7*y**3 - 8*y**3 + 3*y**2 - 5*y**2 + 12*y**3 wrt y?
66
Let n be 1/(-2)*(1 - 1). Let r(l) be the first derivative of n*l**4 + 1/3*l**3 + 2 + 0*l - 2/5*l**5 + 0*l**2. What is the third derivative of r(t) wrt t?
-48*t
Suppose -u + 2*v = -2*u + 10, 0 = 4*u - 2*v. Suppose -3*f = -5*n - u*f + 32, -2*f = 4. What is the second derivative of -3*i + i - 2*i + 4*i**2 + n*i wrt i?
8
Let l be 42/9 + (-2)/3. Differentiate 4*s**2 - 7 + l - 4*s**2 - s**2 with respect to s.
-2*s
Suppose -5*b + 0 = 4*s - 28, -s = -5*b + 18. Find the third derivative of 2*y**4 + 3*y**2 - 4*y**4 - 6*y**s wrt y.
-48*y
Let h be (-3)/((0 - -3)/6). Let s(b) = b**3 + 5*b**2 - 6*b + 4. Let o be s(h). What is the second derivative of o*n**5 + 0*n**5 + 0*n - n**5 + n wrt n?
60*n**3
What is the second derivative of 6*y + 4*y + 4*y**5 - 8*y**3 + 8*y**3 wrt y?
80*y**3
Let u(g) be the third derivative of -13*g**5/60 + 2*g**3/3 + 15*g**2. Differentiate u(q) with respect to q.
-26*q
Let k(y) = -7*y**2 + 17*y - 8. Let c(g) = 6*g + 1 - 4 + 0*g**2 - 2*g**2. Let n(b) = 8*c(b) - 3*k(b). Find the second derivative of n(a) wrt a.
10
Suppose -9 = -2*m - 9. Let u(v) be the second derivative of m*v**2 + 1/3*v**3 + 1/4*v**4 + 0 - 3*v. Find the second derivative of u(h) wrt h.
6
What is the second derivative of g**4 + 11*g**2 + 3586*g - 3587*g + 0*g**3 - 6 + 0*g**3 wrt g?
12*g**2 + 22
Let r(h) = -13*h + 2. Let a(i) = -66*i + 10. Let b(j) = 3*a(j) - 16*r(j). What is the derivative of b(n) wrt n?
10
Let g(h) be the second derivative of h**8/960 - h**5/30 - 7*h**4/12 + 3*h. Let c(a) be the third derivative of g(a). What is the first derivative of c(v) wrt v?
21*v**2
Let g(o) be the first derivative of 7*o**2 - 13*o - 9. Differentiate g(r) wrt r.
14
Suppose 2*p + 6 = 0, 4*p + 22 - 10 = 4*v. Let f(g) be the first derivative of -2 - 8*g**3 + 7*g**3 + 4*g + v. What is the derivative of f(s) wrt s?
-6*s
What is the third derivative of 5*a**2 + 13*a**6 + 0*a**2 - 6*a**2 - 3*a**2 wrt a?
1560*a**3
Let z(i) be the second derivative of -1/6*i**3 + 0 + 0*i**5 + 1/14*i**7 + 0*i**4 - i + 0*i**6 + 0*i**2. Find the second derivative of z(b) wrt b.
60*b**3
What is the first derivative of -7*s**4 + 2 + 5 - 5*s**4 - 2 wrt s?
-48*s**3
Let q be 4 + 4/(-5 + 3). What is the derivative of 3 - 2*s**2 + 0 + q - 2 wrt s?
-4*s
Let r = 5 - 5. What is the second derivative of -2*y**4 - y - 2*y + r + 0 wrt y?
-24*y**2
Let p(n) be the second derivative of -11*n**3/6 - n**2/2 - 12*n. Differentiate p(w) with respect to w.
-11
Let x(w) be the first derivative of -17*w**5/5 - 12*w**3 + 41. What is the third derivative of x(u) wrt u?
-408*u
Let t(a) = -a**2. Let c be t(0). Let m be 5 - c - (-12)/(-4). Find the second derivative of -h**4 - 3*h**4 + 4*h**m - 4*h**2 + 4*h wrt h.
-48*h**2
Suppose 3*s + 5*t - 71 = -7, 0 = 3*s + 2*t - 67. What is the third derivative of 3*m**6 - 4*m**2 + 23*m**4 - s*m**4 wrt m?
360*m**3
Let o be (3/(-3))/(2 + -3). What is the first derivative of 9*p + o + 2*p + 2 - 8*p wrt p?
3
Let h(x) = -x**2 + 5*x - 3. Let p be h(3). What is the first derivative of 4 - 2 - r**3 - 2*r**p wrt r?
-9*r**2
Differentiate -9*j**3 - 1 + j**2 + 9 - j**2 with respect to j.
-27*j**2
Let r be 1/(-4) + (-9)/(-4). Let b(t) = t - 8. Let k be b(8). Find the third derivative of -3*f**2 + r*f**2 + k*f**2 + 2*f**5 wrt f.
120*f**2
What is the second derivative of 2*r - 17*r**2 + 13*r + 5*r**2 + 23*r**2 wrt r?
22
Let x(u) = u**3 - 3*u**2 - 4*u + 6. Let i be x(4). Suppose -f = 2*f - i. Find the third derivative of -3*l + l - 2*l**3 - 3*l**f + 2*l wrt l.
-12
Let v(i) be the second derivative of 11*i**4/4 - 22*i**3/3 - 7*i. What is the second derivative of v(x) wrt x?
66
Let k = -19 - -19. Find the second derivative of 11*b + k - 6*b + 0 - 9*b**4 wrt b.
-108*b**2
Let k be (1 - 2/(-4))*2. Suppose 4*b + 2 = 5*b. What is the derivative of -k - x**b + 0*x**2 + 1 wrt x?
-2*x
Let w(j) = 0 + j + 4 - 10*j. Let f(n) = -4*n + 2. Let d(z) = 13*f(z) - 6*w(z). Find the first derivative of d(s) wrt s.
2
Let f(w) = -15*w**5 + 7*w**2 - 6*w - 6. Let o(x) = x**2 + x + 1. Let s(i) = f(i) + 6*o(i). What is the third derivative of s(j) wrt j?
-900*j**2
Find the second derivative of -6*o**2 - 10*o**4 + 6*o**2 + 8*o wrt o.
-120*o**2
Differentiate 3*h**3 - 4062 + h**3 + 4038 with respect to h.
12*h**2
Let h = 13 + -12. Find the third derivative of -1 - i**2 + h + 6*i**5 wrt i.
360*i**2
Let q be (-4)/(4/(-3)) + 10. What is the third derivative of -12*x**4 + q*x**4 - 5*x**2 + x**2 wrt x?
24*x
Let b(s) be the third derivative of -7*s**6/120 + s**3/6 + 5*s**2. Differentiate b(r) with respect to r.
-21*r**2
Suppose -w - 3*w + 8 = 0. Suppose 5*a + 4 = 14. Differentiate -3 + a - w - 3*i + 1 with respect to i.
-3
Let z(g) be the third derivative of 23*g**7/210 + g**5/15 + 38*g**2. Find the third derivative of z(a) wrt a.
552*a
What is the second derivative of -33*c - 3*c - 11*c**2 + 26*c**2 wrt c?
30
Let m(q) = 2*q**4 - 8*q**3 - 8*q + 18. Let p(r) = r**4 - 3*r**3 - 3*r + 6. Let o(z) = -3*m(z) + 8*p(z). Find the first derivative of o(b) wrt b.
8*b**3
Suppose -4*q = -8*q + 12. Suppose v = q - 0. Find the first derivative of 6 + 2*p**v - 2 - 3 wrt p.
6*p**2
Let x(l) = -l**2 - 4*l - 1. Let s be x(-2). Differentiate -2*f**s - 4 - 2 + 4 + 5 with respect to f.
-6*f**2
Let k(n) be the first derivative of -3*n**5/20 + 3*n**2/2 - 5*n + 6. Let j(w) be the first derivative of k(w). Find the first derivative of j(c) wrt c.
-9*c**2
Let s(z) = 29*z**3 - 3*z**2 + 3. Let y(q) = 58*q**3 - 5*q**2 - q + 5. Let p(x) = -5*s(x) + 3*y(x). What is the second derivative of p(i) wrt i?
174*i
Find the second derivative of -41*p**4 + 24*p + 41*p**4 + 29*p**5 wrt p.
580*p**3
Let i = 0 + 2. Let z = 0 + i. What is the derivative of k**2 - k**2 - 4*k**2 - 1 + k**z wrt k?
-6*k
Let d(y) be the third derivative of -y**9/168 - y**5/15 - 2*y**2. What is the third derivative of d(q) wrt q?
-360*q**3
Let s(y) be the first derivative of 0*y + 0*y**4 - 1/5*y**5 + 0*y**2 - y**3 + 3. What is the third derivative of s(n) wrt n?
-24*n
Let y(n) be the second derivative of -n**6/120 + n**5/20 + n**4/12 - 2*n. Let t(d) be the third derivative of y(d). What is the first derivative of t(m) wrt m?
-6
Find the third derivative of 6*q**2 - 4*q**2 + 2*q**2 - q**2 + 3*q**4 wrt q.
72*q
What is the first derivative of u - 39 + 44 - u + 3*u wrt u?
3
Let r be (15/(-10))/(1/(-6)). Let l = r + -7. What is the second derivative of 2*u**l - 3*u + u**5 - 2*u**2 wrt u?
2