 5*y**d - 2 wrt y.
10
Let l(s) = s**2 + s**3 + 4 - 2*s**2 + 4*s + 0. Let h(w) = 2*w**3 + 5*w + 5. Let y(g) = -4*h(g) + 5*l(g). What is the third derivative of y(q) wrt q?
-18
Let s = 9 - 5. Suppose s = 5*t - 21. Find the third derivative of 2*h**t - 2*h**5 + h**6 - 2*h**2 wrt h.
120*h**3
Suppose 3*i - b - 13 = -5*b, -5*i - 4*b = -19. What is the second derivative of i*h**5 - 5*h + 0 + 0 wrt h?
60*h**3
Suppose -4 = 4*x - 16. Let k(j) be the second derivative of 1/2*j**x + 0*j**2 + 0 + 1/4*j**4 - j. Find the second derivative of k(y) wrt y.
6
Let k be 4/4 + 0 + 1. Suppose -3 = -k*x + 3. Differentiate 0*m**x - 3*m**3 + 2*m**3 + 1 with respect to m.
-3*m**2
What is the first derivative of -4 - 4 + 6 - 5*o**4 + 5 wrt o?
-20*o**3
What is the third derivative of 3*p**2 + 17*p**4 - 2*p + 26*p**2 + 0*p + p wrt p?
408*p
Differentiate -285*n**3 + 285*n**3 - 7*n**4 + 6 with respect to n.
-28*n**3
Find the third derivative of -10*h**5 - 12*h**2 + 187 - 187 wrt h.
-600*h**2
Let u(n) = 40*n**3 + 6*n**2 - 31*n. Let f(p) = 41*p**3 + 7*p**2 - 32*p. Let v(t) = -6*f(t) + 7*u(t). What is the second derivative of v(q) wrt q?
204*q
Let d(p) be the second derivative of -23*p**6/10 - p**3/2 + 10*p**2 + 4*p - 2. What is the second derivative of d(x) wrt x?
-828*x**2
Let y(i) be the first derivative of -i**6/15 - i**3/3 - 5*i + 1. Let q(w) be the first derivative of y(w). Find the second derivative of q(t) wrt t.
-24*t**2
Find the second derivative of 4 + 1 + 0 - 2 + 10*d - 10*d**2 wrt d.
-20
Suppose 3*d - 5 = -6*c + 5*c, 4*d = -3*c. What is the third derivative of 0*y - 2*y**3 - d*y**2 + y**2 + 0*y wrt y?
-12
Find the first derivative of 0*w + w - w - 7 + 7*w**2 wrt w.
14*w
Let r = -4 - -6. Let f be (10 + -8)/(1/r). What is the derivative of 1 - 3 + 3 + 3 + p**f wrt p?
4*p**3
Let v be (24/(-10))/(8/(-20)). Find the second derivative of -v*k + 4*k + 5*k - 7*k**5 + k**5 wrt k.
-120*k**3
Let f(a) be the first derivative of -a**10/840 - a**6/72 + a**3 + 3. Let l(w) be the third derivative of f(w). Find the third derivative of l(h) wrt h.
-720*h**3
Let k(n) = -n**2 + 9*n + 6. Let y be k(9). Find the third derivative of -x**2 + 19*x**3 + 6*x**y - 19*x**3 wrt x.
720*x**3
Find the second derivative of -14*l - l**4 - 6*l**4 + 17*l wrt l.
-84*l**2
Let m(c) be the first derivative of -2*c**2 + 2*c**2 + 2*c**2 - 3*c**2 - 2 + 2*c. Find the first derivative of m(d) wrt d.
-2
Let f(k) = -9*k**2 - 9. Let x(i) = -9*i**2 - 10. Suppose -4*d = 23 + 1. Let h(v) = d*f(v) + 5*x(v). What is the derivative of h(a) wrt a?
18*a
What is the third derivative of -822*n**2 - 14*n**3 + 0*n**3 + 877*n**2 - 1 wrt n?
-84
Let k(n) be the first derivative of n**7/168 - n**4/4 + 2*n**3 + 3. Let y(x) be the third derivative of k(x). Find the first derivative of y(r) wrt r.
15*r**2
Find the third derivative of -132*a + 132*a - 37*a**3 - 18*a**2 wrt a.
-222
Let k(f) be the third derivative of -7*f**5/60 - 7*f**4/12 + 48*f**2. Find the second derivative of k(d) wrt d.
-14
Let o(f) = -4*f**4 + 5*f**3 - 5*f**2. Let v(c) = -4*c**4 + 4*c**3 - 4*c**2 - c. Let i(w) = 4*o(w) - 5*v(w). Find the second derivative of i(g) wrt g.
48*g**2
Let h(t) be the second derivative of -t**6/24 + t**4/6 - 2*t**2 - 5*t. Let i(f) be the first derivative of h(f). What is the second derivative of i(p) wrt p?
-30*p
Let b(d) = d**3 - d + 1. Let h(v) = -5*v**3 + 2*v + 2. Let u(o) = -4*b(o) - 2*h(o). Differentiate u(a) with respect to a.
18*a**2
Suppose -5*b = -3*q - 17, -6 + 3 = -2*b + 5*q. Let f(p) = -p + 6. Let s be f(b). Find the third derivative of 2*i**6 + i**6 + 3*i**s - 3*i**3 + 3*i**3 wrt i.
360*i**3
Suppose -1 - 1 = -2*i. Let t be (i + -1)*(-4)/4. What is the derivative of 3 + b + t*b - 4 wrt b?
1
Let z(t) = -2*t**3 + 0*t**3 + 3*t + 4*t**3 - 3*t**2. Let f(q) = -4*q**3 + 5*q**2 - 6*q. Let l(d) = 3*f(d) + 5*z(d). Find the second derivative of l(i) wrt i.
-12*i
Let d(k) be the first derivative of -17*k**4/4 + 13*k**2/2 - 8. What is the second derivative of d(s) wrt s?
-102*s
Suppose -5*k + 54 = -46. Suppose -4*f + 28 = -4*o, k + 3 = 5*f + o. Find the second derivative of f*u**4 + 3*u - 5*u**4 + 2*u**5 wrt u.
40*u**3
Let t(f) be the first derivative of -f**5/15 - f**3/3 - 5*f**2/2 - 5. Let p(j) be the second derivative of t(j). What is the first derivative of p(n) wrt n?
-8*n
Let z(m) be the third derivative of m**4/2 - 4*m**3/3 - 17*m**2. Differentiate z(f) wrt f.
12
What is the third derivative of y**2 + 4*y + 2*y**5 - y**5 - 4*y wrt y?
60*y**2
Let s(x) = 3*x**2 - 2*x - 3. Let y be s(5). What is the second derivative of 7*b + 8*b**2 + 62 - y wrt b?
16
Let f be 2/(-3) + 50/30. Find the first derivative of -f + 5*x - 2 - 4 wrt x.
5
Let j be 3/(9/3 - 2). Differentiate -a + 4 + 0*a + j*a - 5*a wrt a.
-3
Let n(b) = -b**4 - b**2 + b + 1. Let q(u) = -12*u**5 + 5*u**4 + 9*u**2 - 5*u - 5. Let w(p) = -5*n(p) - q(p). Find the third derivative of w(s) wrt s.
720*s**2
Let n(p) be the second derivative of p + 1/6*p**3 + 0*p**5 + 0*p**4 + 0*p**2 + 1/42*p**7 + 0 + 0*p**6. What is the second derivative of n(c) wrt c?
20*c**3
Let w(u) = -3*u**2 - 2*u + 4*u**2 + u + 3. Let g be w(0). What is the first derivative of 3*r**3 - 5 - r**g + 6 wrt r?
6*r**2
Let c(d) = -2*d + 3. Let i = -4 - -6. Let s(u) = -4*u + 0 + 0*u + i*u + 3. Let r(f) = 2*c(f) - 3*s(f). What is the derivative of r(t) wrt t?
2
What is the derivative of f**2 + 48 - 41 - f**2 - 3*f**4 wrt f?
-12*f**3
Let w = 10 + -5. Let c = w - 4. Differentiate 2 - c - 3 + 5 - 3*t with respect to t.
-3
Let g(h) = -6*h**4 + 4*h**2 - 15. Let t(o) = o**2 - 1. Let b(c) = g(c) - 4*t(c). Differentiate b(l) wrt l.
-24*l**3
Let z(q) = 3 + 1 + 1. Suppose -u - 1 + 10 = 0. Let l(h) = h + 21. Let w(k) = u*z(k) - 2*l(k). Differentiate w(i) wrt i.
-2
Let q(u) be the second derivative of -5*u**4/6 + 5*u**3/3 - 4*u. What is the second derivative of q(p) wrt p?
-20
Let u = -18 + 28. What is the first derivative of 0*f - 4 - f**3 + u + 0*f wrt f?
-3*f**2
Let h = 1 - 1. Let b = 1 + h. Differentiate -2 - b - y + 6 wrt y.
-1
Let f be -2*(-2 - (2 - 2)). Let c be (-7)/(-3) - (-4)/6. Find the second derivative of c*z + 3*z**4 + z - 7*z**f - z wrt z.
-48*z**2
What is the first derivative of 4*x - 4 + 2 - 5*x wrt x?
-1
Let g(l) be the third derivative of -3*l**6/20 + l**5/5 + 15*l**2. What is the third derivative of g(o) wrt o?
-108
Let b = 3/326 - 17/19560. Let k(x) be the third derivative of 1/12*x**4 + 0*x**3 + 3*x**2 + 0*x + 0*x**5 + 0 - b*x**6. Find the second derivative of k(n) wrt n.
-6*n
Suppose 34 - 10 = 8*g. Suppose -7 = -3*r - n, 4*r - 2*n = 1 + 15. Differentiate -4*b**3 - 2*b**r + 4*b**g + 2 with respect to b.
-6*b**2
Find the second derivative of 17*p + 4*p**2 - 8*p - 4*p**2 + 13*p**3 wrt p.
78*p
Suppose -4*a = -10 - 2. Let x be -1*(4 + 2)/(-3). Find the second derivative of -4*t + a*t + x*t - t**2 wrt t.
-2
Let s(p) be the third derivative of 5*p**9/252 - 19*p**5/60 - 16*p**2. Find the third derivative of s(x) wrt x.
1200*x**3
Let j be 1 - (1 - (-12)/(-2)). What is the first derivative of j - 4*b**2 - 2 - 2 wrt b?
-8*b
Suppose -3*f + 0*c + 4*c - 6 = 0, 2*f = 5*c - 11. Let b be (2/4 - 0)*0. What is the third derivative of 3*w**3 + b*w**3 - 4*w**f - 2*w**2 + 3*w**2 wrt w?
18
Let u(b) = b**4 + 3*b**3 - 23*b**2 - 73. Let d(w) = w**3 - 8*w**2 - 24. Let g(f) = -17*d(f) + 6*u(f). Find the third derivative of g(m) wrt m.
144*m + 6
Let c be (-2)/((-7)/(14/4)). Let g(o) be the first derivative of -o**2 + c + 0*o + 1/3*o**3. What is the second derivative of g(q) wrt q?
2
Let d(a) be the third derivative of -a**7/15 + a**3/3 + 3*a**2. Differentiate d(s) with respect to s.
-56*s**3
What is the second derivative of -5*b**4 + b**4 + 8*b**4 + 15*b wrt b?
48*b**2
Let l(a) be the third derivative of a**8/84 - a**5/10 + 3*a**2. Find the third derivative of l(h) wrt h.
240*h**2
Suppose 5*f - 18 = -5*t - 3, f = 3. Let w(x) be the second derivative of t*x**2 + 1/6*x**4 + 1/3*x**3 - 3*x + 0. Find the second derivative of w(q) wrt q.
4
Let m(v) = -v**5 + v**4 - v**2 + 1. Let k(z) = 9*z**5 + 5*z**4 + 8*z**2 + 5. Let j(y) = k(y) - 5*m(y). Find the third derivative of j(d) wrt d.
840*d**2
Let g = -1 - -6. What is the second derivative of 5*k**g - 3*k**5 - 47*k + 48*k wrt k?
40*k**3
Find the first derivative of 13 + 6*u**2 - 14*u**2 - 3 wr