 g*p - p with respect to p.
-2
Let w(y) = 3*y**2 + 3*y - 1. Let g be w(1). What is the third derivative of -k - k - 5*k**4 + 2*k + g*k**2 wrt k?
-120*k
Let w(v) be the first derivative of -3*v**5/5 - 4*v**3/3 + 61*v + 66. Find the first derivative of w(t) wrt t.
-12*t**3 - 8*t
Find the second derivative of -9*c**3 - 5*c + 4*c**4 + 9*c**3 wrt c.
48*c**2
Let t(n) be the third derivative of 0 - 7/6*n**3 + 7/24*n**4 + n**2 + 0*n. Find the first derivative of t(s) wrt s.
7
What is the third derivative of 3*z**5 - 3*z**5 - 38*z**2 + 4*z**6 + 22*z**6 wrt z?
3120*z**3
Differentiate -1 + z**4 + 4*z**4 + 4 + 5 with respect to z.
20*z**3
Let k(p) be the second derivative of -p**5/4 - p**4/2 - 6*p. What is the third derivative of k(q) wrt q?
-30
Let d(i) = 7*i**2 + 19*i - 6. Let k(u) = -195*u**2 - 533*u + 169. Let q(a) = 169*d(a) + 6*k(a). What is the second derivative of q(w) wrt w?
26
Let b(u) = 20*u**2 + 90. Let j(y) = -4*y**2 - 18. Let m(s) = -3*b(s) - 16*j(s). Differentiate m(w) with respect to w.
8*w
Let d(y) = y - 2. Let n be d(7). Find the second derivative of -3*w**5 + 0*w**n - 2*w + 4*w wrt w.
-60*w**3
Let b(k) be the second derivative of k**8/168 - k**4/8 + 3*k**2/2 - k. Let p(d) be the first derivative of b(d). Find the second derivative of p(y) wrt y.
40*y**3
Let f be (-3)/(-4) + 2/8. Let o = f - 1. Find the second derivative of o*j - 4*j**2 - j + 2*j**2 wrt j.
-4
Let d(v) be the second derivative of -v**10/15120 - v**7/1260 + v**4/6 + v. Let y(x) be the third derivative of d(x). Find the third derivative of y(n) wrt n.
-120*n**2
Let b(q) be the first derivative of -13*q**2/2 + 8*q + 14. Differentiate b(s) with respect to s.
-13
Let a be (0 - (-12)/(-9))*-3. Suppose 4*p - 29 = -3*y, a*y - 12 = -0*y. What is the third derivative of -2*w**2 - 2*w**p + 0*w**5 + 4*w**2 wrt w?
-120*w**2
Find the second derivative of 36*b**4 - 74*b**4 + 43*b**4 + 10*b wrt b.
60*b**2
Let m(b) = 4*b**2 - 5*b - 6. Let x = -3 - -4. Let t(o) = x + 5 + o - 5 - o**2. Let v(w) = -m(w) - 6*t(w). Find the second derivative of v(n) wrt n.
4
Differentiate 20*o**4 + 2 - 1 - 5*o**4 - o**4 with respect to o.
56*o**3
Let f(d) = d**2 + 10*d + 2. Let u be f(-10). What is the third derivative of -5*l**4 + 3*l**2 + u - 2 wrt l?
-120*l
Let a(k) be the third derivative of k**9/2520 + k**5/30 - k**4/4 - 4*k**2. Let g(c) be the second derivative of a(c). Differentiate g(h) wrt h.
24*h**3
Let i = -4 - -6. What is the third derivative of o**i - o**2 - o**2 - o**5 wrt o?
-60*o**2
What is the third derivative of -4*a**2 - 4*a**3 + 4*a**3 - 18*a**5 + 9*a**5 wrt a?
-540*a**2
Let g(z) be the third derivative of -z**6/20 - z**5/6 - 15*z**2. What is the third derivative of g(m) wrt m?
-36
Suppose -6*p = -2*p. What is the second derivative of p*f**2 + 0*f - 4*f + 3*f**2 + 2*f wrt f?
6
Let u = -6 - -20. Find the second derivative of -u*k**3 + 2*k - k**3 + 3*k + 8*k**3 wrt k.
-42*k
Let m(u) = -u - 20. Suppose 10 + 6 = -2*o. Let d(k) = -7. Let t(c) = o*d(c) + 3*m(c). Differentiate t(h) wrt h.
-3
Suppose 0*t - 5 = -2*t + b, 1 = -b. Let a be (t + 0)*(5 - 4). What is the third derivative of y**5 - y**a + y - y wrt y?
60*y**2
Let x(l) = -8*l + 6. Let p(o) = 4 + 0 - 5 + 2. Let k(w) = 3*p(w) + x(w). Differentiate k(s) with respect to s.
-8
Let i(p) = 23*p**3 - 29*p. Let t(w) = 11*w**3 - 14*w. Let d(k) = -6*i(k) + 13*t(k). Find the second derivative of d(r) wrt r.
30*r
Let p(g) = -g**5 + g**3 + g**2 - g + 1. Let d(r) = -3*r**5 - 6*r**3 + 10*r**2 + 6*r - 6. Let f(c) = -d(c) - 6*p(c). Find the third derivative of f(v) wrt v.
540*v**2
Let y(w) be the first derivative of 6*w - 1/2*w**2 - 9. What is the derivative of y(o) wrt o?
-1
What is the third derivative of 12*l**6 + 5*l**2 - 4*l**6 + 12*l**2 - 6*l**2 wrt l?
960*l**3
Find the second derivative of -6*o + 8*o - 3*o**5 - 5*o wrt o.
-60*o**3
Let g(l) = 12*l**5 - l - 2. Let v(n) = -12*n**5 + 2*n + 3. Let z(t) = 3*g(t) + 2*v(t). What is the second derivative of z(b) wrt b?
240*b**3
Suppose n + 4*n - q - 9 = 0, 3*n - q - 5 = 0. Let a = 54 + -50. What is the first derivative of -5*l**3 + 5*l**3 - l**a + n wrt l?
-4*l**3
Let w(g) be the first derivative of -1/6*g**3 + 4*g + 3/2*g**2 - 4. Let x(r) be the first derivative of w(r). What is the derivative of x(y) wrt y?
-1
Suppose k = 13 - 9. Let p(a) be the first derivative of 0*a + 0*a**5 + 0*a**k - 3/2*a**2 + 2 - 1/3*a**6 + 0*a**3. Find the second derivative of p(q) wrt q.
-40*q**3
Let u = -78 - -157/2. Let f(i) be the third derivative of 0*i + i**2 - 1/40*i**6 + 0*i**4 + 0 - u*i**3 + 0*i**5. What is the first derivative of f(o) wrt o?
-9*o**2
Let y(f) be the second derivative of 3*f**5/20 + 5*f**4/6 - 11*f. Find the third derivative of y(r) wrt r.
18
Let d(p) = 6*p**2 - 3*p - 3. Let z(j) = -17*j**2 + 9*j + 8. Let k(o) = -8*d(o) - 3*z(o). What is the second derivative of k(m) wrt m?
6
Let y be 1/4 + 195/20. Let c = y + -8. What is the third derivative of z**2 - 2*z**6 - 4*z**2 + 4*z**c - 3*z**6 wrt z?
-600*z**3
Let v(f) = 50*f**4 - 11*f**2 - 34*f + 11. Let l(k) = -17*k**4 + 4*k**2 + 11*k - 4. Let g(h) = -11*l(h) - 4*v(h). Find the second derivative of g(m) wrt m.
-156*m**2
Let r(s) be the second derivative of 0 - 7*s + 0*s**3 + 0*s**5 - 1/6*s**4 + 0*s**6 + 0*s**2 + 1/6*s**7. What is the third derivative of r(q) wrt q?
420*q**2
Let t(b) be the second derivative of -5*b**3/6 + 3*b**2/2 + 7*b. What is the derivative of t(w) wrt w?
-5
Let k(o) = 9*o**4 + 4*o**3 - 14*o + 4. Let j(b) = -8*b**4 - 5*b**3 + 13*b - 5. Let f(i) = 4*j(i) + 5*k(i). What is the second derivative of f(l) wrt l?
156*l**2
Let f = 1 + 2. What is the second derivative of 0*z**2 - f*z**2 - z + 2*z + z**2 wrt z?
-4
Let j(k) be the third derivative of -k**7/210 + k**3/6 + 2*k**2. What is the first derivative of j(u) wrt u?
-4*u**3
What is the derivative of x**2 + 2 - 14*x**3 - x**2 + 11*x**3 wrt x?
-9*x**2
Let n(b) be the first derivative of b**6/30 + 7*b**4/24 - 3*b**2/2 - 6. Let u(h) be the second derivative of n(h). What is the second derivative of u(x) wrt x?
24*x
Let a(d) = 28*d - 1. Let t be a(1). Find the second derivative of -27*p**2 + 6*p**5 + t*p**2 + 7*p wrt p.
120*p**3
Find the first derivative of 8*q**2 + 54 + 25*q**2 - 17*q**2 wrt q.
32*q
Let w(m) = m**2 - 3*m - 6. Let r be w(5). What is the third derivative of -4*q**4 + 11*q**2 - 7*q**2 + 2*q**r wrt q?
-48*q
Let u(z) be the third derivative of 0*z**3 - z**2 + 1/30*z**5 - 1/60*z**6 + 0*z + 0 + 0*z**4. Find the third derivative of u(w) wrt w.
-12
Let y = -17 + 28. Suppose -i - 4 = 0, 3*i + 33 = 5*g + y. Find the third derivative of g - 2 + 2*d**4 - 2*d**2 wrt d.
48*d
Let t(n) = n**4 + n - 1. Let d(j) = 28*j**4 + 36*j**2 - 3*j + 3. Let h(i) = d(i) + 3*t(i). What is the third derivative of h(l) wrt l?
744*l
Let m(x) be the first derivative of 4*x**6 - 11*x**3/3 - 6. Find the third derivative of m(p) wrt p.
1440*p**2
Let x(t) be the third derivative of 17*t**7/210 + 7*t**3/3 + 6*t**2. What is the first derivative of x(g) wrt g?
68*g**3
Let y(g) be the third derivative of g**5/30 + g**3/2 + 4*g**2. Differentiate y(t) with respect to t.
4*t
Let z(v) = -v**2 - v. Let t(o) = 4*o**3 - 4*o**2 - 3*o. Let f be 1*(-1)/(-2)*2. Let i(n) = f*t(n) - 4*z(n). Find the second derivative of i(u) wrt u.
24*u
Suppose s + 2 = 2*s. Suppose 0 = -0*u - u + s. Find the second derivative of 4*x**2 - 4*x**2 - u*x**2 - 2*x wrt x.
-4
Let w(k) be the first derivative of 2*k**5/5 + 3*k - 15. Find the first derivative of w(o) wrt o.
8*o**3
Let m(q) = -8*q**4 - 5*q**2 + 5*q + 1. Let h(z) = -z**4 - z**2 + z - 1. Let g(o) = -5*h(o) + m(o). What is the first derivative of g(t) wrt t?
-12*t**3
Let n be 0*(-2)/4 + 2. What is the third derivative of 0 - 28*w**n + 10*w**6 + 0 + 18*w**2 wrt w?
1200*w**3
Let u(o) = -o**3 + o**2 + o. Let t(q) = 7*q**3 - 15*q**2 - 6*q - 20. Let x(w) = t(w) + 6*u(w). Find the first derivative of x(k) wrt k.
3*k**2 - 18*k
Let p be (2 + -2 - 0)/2. Suppose -d + 0 + 4 = p. Find the second derivative of -6*u**4 - u + 6*u**d - 3*u**5 wrt u.
-60*u**3
Let j(q) = -q - 1. Let m be j(-5). Let p be (-12 + 12)/(0 - 1). Find the first derivative of -z**4 - z**m + p*z**4 - 2 wrt z.
-8*z**3
Let u = 7 + -7. Let g(d) be the first derivative of 3/4*d**4 - 2*d + 0*d**2 - 2 + u*d**3. Find the first derivative of g(p) wrt