13 wrt k?
-8*k
Let z(v) be the first derivative of -v**6/60 - v**3/6 - v**2/2 + 3. Let o(y) be the second derivative of z(y). What is the first derivative of o(i) wrt i?
-6*i**2
Let j(n) = n**3 + 12*n**2 + 2. Let x be j(-12). Find the first derivative of -3*y**4 - 4*y**4 + 4*y**4 - x wrt y.
-12*y**3
Let n(t) be the third derivative of 19*t**5/60 + 5*t**4/6 - 23*t**2. What is the second derivative of n(m) wrt m?
38
Let x(f) = -f**3 + f**2 + 1. Let t(a) = 7*a**3 - 3*a**2 - 13*a - 3. Let r(b) = -t(b) - 3*x(b). Find the second derivative of r(m) wrt m.
-24*m
Let c = -2 + -2. Let p be 2/c - 9/(-6). Differentiate -p + 2 - 4*n + 3*n wrt n.
-1
Let p(t) be the second derivative of -t**7/2520 + t**5/30 + t**4/6 - 3*t. Let u(b) be the third derivative of p(b). Differentiate u(j) with respect to j.
-2*j
Let j(r) = r. Let g(p) = 7*p - 3. Suppose 0 = -0*x + x - 3. Let d(n) = x*j(n) - g(n). Find the first derivative of d(c) wrt c.
-4
Let j(d) = 6*d**3 - 4*d - 14. Let n(h) = -6*h**3 + 5*h + 15. Let o(v) = -5*j(v) - 4*n(v). Differentiate o(y) wrt y.
-18*y**2
Let h(r) be the third derivative of 0*r**4 + 0*r**3 + 3*r**2 + 0*r**6 + 0 + 0*r + 1/35*r**7 + 1/15*r**5. Find the third derivative of h(w) wrt w.
144*w
Let g = 8 - 9. Let n(s) = s**4 - s**3 - s - 1. Let i(m) = 5*m**4 - 6*m**3 - 8*m - 6. Let p(b) = g*i(b) + 6*n(b). Find the second derivative of p(z) wrt z.
12*z**2
Suppose -5*h = -i + 6, -3 = -4*i + 2*h + 3. Let b be (i - 1) + (-1 - -5). What is the second derivative of -3*d + 0*d**4 + 5*d + 2*d**b wrt d?
24*d**2
Let m = -4/5 + 21/20. Let u(b) be the first derivative of 0*b**2 + m*b**4 - 2/3*b**3 + 0*b - 2. What is the third derivative of u(p) wrt p?
6
Let a(x) = 30*x**3 - 18*x. Let c(i) = 30*i**3 - 17*i. Let q(s) = -4*a(s) + 3*c(s). Find the second derivative of q(y) wrt y.
-180*y
Suppose 2 = c - 1. What is the first derivative of -t**2 + c - t**2 + 1 - 1 wrt t?
-4*t
Let g(t) be the first derivative of 6*t**5/5 - 4*t**3/3 - 7. What is the third derivative of g(w) wrt w?
144*w
Suppose -2*a = 4*a - 12. Let b(g) be the second derivative of -3/20*g**5 - 2*g + 0 + 0*g**3 + 0*g**a - 1/6*g**4. Find the third derivative of b(s) wrt s.
-18
Differentiate 9*k - 12*k - 7 + k with respect to k.
-2
Let b(j) be the first derivative of 0*j**2 - 4/3*j**3 - 4*j - 4. Differentiate b(q) with respect to q.
-8*q
Let f(j) be the first derivative of -3/2*j**2 - 2 + 3*j. Differentiate f(d) wrt d.
-3
Let p(j) be the first derivative of 1 + 0*j + 0*j**2 + 1/3*j**3 + 0*j**4 - 3/5*j**5. What is the third derivative of p(n) wrt n?
-72*n
Find the third derivative of -31*j**2 + 98*j**2 + 22483*j**4 - 22466*j**4 wrt j.
408*j
Let q(h) = -13*h**2 - 9*h + 6. Let r(o) = 3*o**2 - 3 - 19*o - 15*o**2 - 15*o**2 + 16. Let g(p) = 13*q(p) - 6*r(p). Find the second derivative of g(s) wrt s.
-14
Suppose o = 6*o - 4*s - 20, -25 = 5*o + 5*s. Suppose o = 2*u - 1 - 3. Find the third derivative of q**6 + 2*q**2 + 2*q - u*q wrt q.
120*q**3
Let q be (1 - -5)*(-9)/(-6). Let i be (-6)/q*27/(-6). Find the second derivative of -4*f - f + i*f - 2*f**3 wrt f.
-12*f
Let g(r) be the third derivative of r**6/20 + r**5/30 - 8*r**2. Find the third derivative of g(o) wrt o.
36
Suppose 2*f = 8, -5*x + 2*f - 4*f + 23 = 0. Suppose 0 = m + x, -2*l = l + 2*m. Differentiate 3 - l*w - 3 + 6 - 3 with respect to w.
-2
Let b(p) be the second derivative of p**7/840 - p**6/144 - p**4/3 + p. Let q(a) be the third derivative of b(a). What is the second derivative of q(f) wrt f?
6
Let b(m) be the first derivative of -3*m**5/20 - m**4/3 - 4*m + 1. Let f(n) be the first derivative of b(n). Find the third derivative of f(h) wrt h.
-18
What is the first derivative of -16 - 26 - 22 - 13*d + 25 wrt d?
-13
Let n(k) be the second derivative of -43*k**4/12 + 71*k**3/6 + 64*k. What is the second derivative of n(a) wrt a?
-86
Let q = 7 + -5. Find the first derivative of 2*y - q + y + 0*y - 2*y wrt y.
1
Let s(r) be the first derivative of -r**7/105 - r**5/60 + r**2 - 3. Let p(u) be the second derivative of s(u). What is the third derivative of p(y) wrt y?
-48*y
Let r(p) = p**3 - 5*p**2 + 5*p + 10. Let g(h) = h**3 - 6*h**2 + 6*h + 11. Let c(f) = -5*g(f) + 6*r(f). Find the first derivative of c(x) wrt x.
3*x**2
Suppose -10 = 2*b - 4*b. What is the derivative of 1 - b - 1 + 4*y**2 wrt y?
8*y
Let y(n) be the third derivative of n**9/252 + n**5/6 + 12*n**2. What is the third derivative of y(o) wrt o?
240*o**3
Let l(x) be the second derivative of -x**7/42 - x**3/3 + 5*x**2/2 + 4*x. Let b(i) be the first derivative of l(i). What is the derivative of b(d) wrt d?
-20*d**3
What is the first derivative of 0*z**4 + 2*z**4 - 6 - 4*z**4 - 8*z**4 wrt z?
-40*z**3
Let h(w) = w**2 + 1 + 0*w**3 - 2 + 3*w**3 + w. Let v be h(1). What is the second derivative of -3 - 1 + r**5 + v - 3*r wrt r?
20*r**3
Let k(f) be the third derivative of -f**7/280 + f**4/12 - f**3/3 - f**2. Let v(u) be the first derivative of k(u). What is the derivative of v(s) wrt s?
-9*s**2
Let n(w) be the first derivative of w**7/420 + w**4/12 - w**3/3 - 5. Let p(m) be the third derivative of n(m). Find the first derivative of p(k) wrt k.
6*k**2
Let l be ((-12)/(-10))/((-4)/(-10)). Let q(k) = 2. Let w(x) = x + 2. Let n(r) = l*w(r) - 4*q(r). Find the first derivative of n(m) wrt m.
3
Let p be 65/20 + 1/(-4). Suppose -p = q - 2*q. Find the second derivative of -5*k**3 + 3*k - 1 + 8*k**q + 1 wrt k.
18*k
Let h(o) = -69*o**3 - 13*o**2 - 8. Let j(a) = 46*a**3 + 9*a**2 + 5. Let k(l) = 5*h(l) + 8*j(l). Find the third derivative of k(r) wrt r.
138
Let x(o) be the second derivative of 0 - 3*o - 1/2*o**3 + 0*o**2 + 1/3*o**4. Find the second derivative of x(f) wrt f.
8
Find the second derivative of 4*n**5 - 10*n**5 + 3*n**5 + 5*n - 6*n**5 wrt n.
-180*n**3
Find the first derivative of 26*p**2 + 5 - 12 + 1 - 26 wrt p.
52*p
Let a(b) be the third derivative of -3*b**7/70 - 3*b**5/20 - 8*b**2. Find the third derivative of a(u) wrt u.
-216*u
Suppose 4*o - 32 = -0. Let k be (5/2 - 2)*o. Find the second derivative of -3*b - b**4 - 2*b + k*b wrt b.
-12*b**2
Let h(f) = -4*f**2 - 3. Let q(t) = -3 - 6*t**2 + 2 - 4 - t**2. Let s(x) = -5*h(x) + 2*q(x). Differentiate s(w) wrt w.
12*w
What is the second derivative of -38*g**4 + 66*g**4 - 10*g - 43*g**4 wrt g?
-180*g**2
Let z = 6 + -2. Suppose -z*v + 6 = -6. Find the second derivative of -b**v + 3*b**5 + 3*b - 2*b + b**3 wrt b.
60*b**3
Let f(m) = 51*m**2 + 51*m - 21. Let t(j) = 5*j**2 + 5*j - 2. Let v(c) = 2*f(c) - 21*t(c). What is the second derivative of v(x) wrt x?
-6
Let d(c) be the second derivative of 5*c**8/28 - c**4/6 - 20*c. Find the third derivative of d(z) wrt z.
1200*z**3
What is the first derivative of -6*b + 53*b + 0 + 3 + b wrt b?
48
Let x(v) be the second derivative of 0 + 1/21*v**7 - 8*v + 0*v**6 - 1/6*v**4 + 0*v**3 + 0*v**5 + 0*v**2. Find the third derivative of x(l) wrt l.
120*l**2
Let m(l) be the second derivative of 3*l**6/5 + 7*l**4/12 + 33*l. What is the third derivative of m(x) wrt x?
432*x
Let x be ((-2)/3)/(2/(-3)). Suppose v - 18 = -4*b, -5*v - 7 + x = -4*b. What is the third derivative of h**v + h**2 - 2*h**3 + 0*h**2 wrt h?
-12
Let g(u) = u**3 - u**2 + 1. Let l be g(2). Find the second derivative of -s**5 + s - 4*s - s**l wrt s.
-40*s**3
Let d(n) be the third derivative of -4*n**7/105 + 5*n**4/24 - 3*n**2. Find the second derivative of d(i) wrt i.
-96*i**2
Let v(y) be the third derivative of y**8/56 - 7*y**4/24 - 6*y**2. Find the second derivative of v(r) wrt r.
120*r**3
Let y be (-2)/(-2*(-2)/(-38)). Suppose 5*f = y - 4. Differentiate -1 + f - a - a wrt a.
-2
Let y = -2 - -5. Find the second derivative of -6*q + 12 - 12 - 6*q**y wrt q.
-36*q
Let z be 0 + (2/1)/1. Find the third derivative of 20*w**z + w**3 + 2*w**3 - 17*w**2 wrt w.
18
Let p be -3 - (2 - -3)*-1. What is the second derivative of 6*k**p - 7*k + 0*k + 5*k + 9*k wrt k?
12
Suppose -6*s + 37 = -23. Differentiate s*o**4 - 2*o**4 - 1 - 5 with respect to o.
32*o**3
Let f(z) = 12*z**3 - z**2 + 22*z - 1. Let q(j) = j**2 + j + 1. Let w(v) = -f(v) - q(v). What is the second derivative of w(x) wrt x?
-72*x
Let f(s) = -s**2. Let g(k) = -8*k. Let u(b) = 3*f(b) + g(b). Find the second derivative of u(j) wrt j.
-6
Let i = 7 - 5. Suppose -4 = 2*m - 4*m. Find the first derivative of 2 - n**i + n**2