3*k**2 + 2*k**2 wrt k.
-180*k**2
Suppose -2*g + 1 = -g. Differentiate -g + 0 + 3*n**4 + 3 wrt n.
12*n**3
Let c(x) be the second derivative of -3*x**5/10 + x**4/12 - 4*x. Find the third derivative of c(i) wrt i.
-36
What is the third derivative of -5*b**3 - 6*b**2 + 8*b**2 + 12*b**2 + 0*b**2 wrt b?
-30
Let a = -9 - -13. Find the third derivative of 6*g**2 - 2 + 7*g**a + 2 + 0*g**4 wrt g.
168*g
Let v(b) be the third derivative of b**5/15 - 7*b**3/6 - 10*b**2. Differentiate v(q) wrt q.
8*q
Let t be ((-6)/(-12))/(2/16). What is the first derivative of -2 - 2 + 2 - 2*r**t wrt r?
-8*r**3
Suppose -3*j = 5*m - 20, m + 5*j - 3 = 1. Suppose -f - 10 = -4*h, m*h - f - 6 = -2*f. What is the first derivative of -h + 2 - 2*c**4 - 1 wrt c?
-8*c**3
Let c(r) be the first derivative of 13*r**2 - 41*r - 17. What is the first derivative of c(b) wrt b?
26
Let i(r) = -22*r**3 - 23*r**2 - 6*r - 6. Let l(b) = -21*b**3 - 22*b**2 - 5*b - 5. Let v(g) = -5*i(g) + 6*l(g). Find the third derivative of v(m) wrt m.
-96
Let j(k) = k**2 - 3*k - 1. Let g be j(5). Let r be 30/g*(-27)/(-15). Differentiate -r*f**4 + 3*f**4 + f - f + 1 wrt f.
-12*f**3
Let c(u) = u**2 - 2*u + 2. Let n be c(3). Find the third derivative of n*j**6 - j**2 + 4*j**6 - 6*j**6 wrt j.
360*j**3
Let l(m) = -4*m - 6. Let f(g) = -6*g - 3 + 6*g + 2*g - 4*g. Let y be 1*5 - 0/(-2). Let u(q) = y*f(q) - 2*l(q). What is the derivative of u(h) wrt h?
-2
Suppose 3*b = 4*b - 2. What is the third derivative of -b*i**3 + 3*i**2 + 5*i**2 - 4*i**2 + i**3 wrt i?
-6
Let o(r) be the third derivative of 1/35*r**7 + 0*r**6 + 4*r**2 + 0*r + 2/3*r**3 + 0 + 0*r**5 + 0*r**4. Differentiate o(y) with respect to y.
24*y**3
Find the second derivative of 32*b**4 - 1020*b - 5*b**4 + 1048*b wrt b.
324*b**2
Find the third derivative of -11*a**2 + 2*a**3 + 20*a**2 + 8*a**3 wrt a.
60
Let p be 1 + 1 - (-6 + 4). Let u(l) be the third derivative of 0*l + 0 + 1/30*l**5 - l**2 + 0*l**3 + 1/12*l**p. What is the second derivative of u(y) wrt y?
4
Let u = -12 + 15. Let l(o) be the third derivative of 1/30*o**5 - 1/12*o**4 + 2*o**2 + 0 + 0*o**u + 0*o. Find the second derivative of l(t) wrt t.
4
Suppose 3 = 2*i - i. What is the first derivative of -1 - 2*x + i + x wrt x?
-1
Let q(u) = -22*u**2 + 55. Let g(a) = -a**2 - 1. Let b(o) = 3*g(o) - q(o). What is the derivative of b(c) wrt c?
38*c
Let u(t) be the first derivative of 7 - 8*t - 1 - 5*t**2 - 10*t**2 + 18*t**2. What is the first derivative of u(q) wrt q?
6
What is the second derivative of -16*f + 0*f**3 - 18*f**4 + 16*f**4 + 0*f**3 wrt f?
-24*f**2
Find the third derivative of -8*k**2 + 39*k**6 - 149*k**6 + 1 + 73*k**6 wrt k.
-4440*k**3
Let m(v) be the first derivative of 4*v**6 + 19*v**2/2 + 13. Find the second derivative of m(d) wrt d.
480*d**3
Let y(w) = -3*w - 2. Let v be y(-2). Let j(h) = 5*h**2 - h. Let k(x) = -4*x**2. Let i(b) = v*k(b) + 3*j(b). What is the second derivative of i(n) wrt n?
-2
Let x(p) = 4*p**2 - 4*p. Let w(f) = f**2. Let g(y) = -22*w(y) + 2*x(y). What is the second derivative of g(j) wrt j?
-28
Let v(h) = h**2 - h + 1. Let g(m) = 4*m**2 - 48*m - 2. Let a(l) = -g(l) - 2*v(l). What is the second derivative of a(c) wrt c?
-12
Suppose -o = -1 - 1. Find the third derivative of -6*q**2 - 6*q**6 + 5*q**6 + 8*q**o wrt q.
-120*q**3
Let k(s) = 20*s**3 + 9*s**2 - 5. Let r(h) = 10*h**3 + 4*h**2 - 3. Let w(d) = 3*k(d) - 5*r(d). What is the third derivative of w(n) wrt n?
60
Let c(v) = 11*v**4 - 26*v**2 + 8. Let q(r) = 4*r**4 - 9*r**2 + 3. Let f(d) = -3*c(d) + 8*q(d). What is the third derivative of f(s) wrt s?
-24*s
Let l(n) be the third derivative of -11*n**7/210 - 29*n**5/60 + 4*n**2 + 3. Find the third derivative of l(w) wrt w.
-264*w
Let q(m) be the third derivative of m**7/30 - m**5/4 + 6*m**2. What is the third derivative of q(n) wrt n?
168*n
Let x(d) be the third derivative of d**4/12 - 4*d**3/3 + 2*d**2. Let s(w) = -w + 9. Let q(i) = -2*s(i) - 3*x(i). What is the first derivative of q(m) wrt m?
-4
Find the third derivative of -11*j**4 + 8*j**2 - 2*j**2 + 2*j**2 + 2*j**4 wrt j.
-216*j
What is the third derivative of -18*x**2 + 24*x**6 + 15*x**2 - x**5 - 15*x**6 + 5*x wrt x?
1080*x**3 - 60*x**2
Let g = -6 + 6. Let x(p) be the second derivative of 0*p**4 - 1/10*p**5 + 0 + g*p**3 - 1/2*p**2 - 2*p. What is the derivative of x(i) wrt i?
-6*i**2
Suppose 10*z = 5*z + 15. Let s(h) be the third derivative of -1/3*h**z - 1/24*h**4 - 2*h**2 + 0 + 0*h. Differentiate s(r) wrt r.
-1
Let z(j) = 5*j**2 - 4*j + 32. Let d(k) = 10*k**2 - 8*k + 64. Let q(y) = 4*d(y) - 9*z(y). Differentiate q(u) with respect to u.
-10*u + 4
Let p(y) be the first derivative of 0*y**4 + 0*y**3 - 2 - 3/5*y**5 - 1/2*y**2 + 0*y. What is the second derivative of p(k) wrt k?
-36*k**2
Let u(p) be the third derivative of p**4/24 + p**3/6 + p**2. Let g(d) = -1. Let y(o) = 3*g(o) + 2*u(o). Differentiate y(s) wrt s.
2
Let v(m) be the third derivative of -m**8/28 + m**4/12 - 4*m**2. Let d(x) = 11*x**5 - 2*x. Let y(s) = 6*d(s) + 5*v(s). Find the second derivative of y(p) wrt p.
120*p**3
Let l(m) = m. Let p(a) = 2*a + 8. Suppose 3*c = 2 + 1. Let s(u) = c*p(u) - 3*l(u). Find the first derivative of s(y) wrt y.
-1
Let k(h) be the first derivative of -h**4/6 + h**3/3 - 3*h - 3. Let f(b) be the first derivative of k(b). What is the second derivative of f(y) wrt y?
-4
Find the first derivative of 0*d - 2*d + 2*d + 4*d**2 + 12 wrt d.
8*d
Let c be (-45)/(0 + -2 + 1). Find the second derivative of -c - 5*a**2 + 5*a + 45 wrt a.
-10
Let a be ((-20)/(-30))/((-2)/(-9)). Suppose 0 = -q + a. Find the second derivative of -4*b - 4*b**q + 6*b**2 - 6*b**2 wrt b.
-24*b
Suppose 5*a - 40 = 5*q, -2*q - 3*q + 14 = 4*a. Find the first derivative of -a*l**2 - 5*l**2 + 3 + 13*l**2 wrt l.
4*l
Find the first derivative of 19 + 2*f**4 + 8*f**4 - 20*f**4 wrt f.
-40*f**3
Suppose 2*u = 3*r - 6 - 9, -3*r - 5*u - 6 = 0. Let c be (-2)/((1 - 1) + -2). What is the derivative of -2*w**3 + w**3 + 3*w**r - c wrt w?
6*w**2
Let l be (-84)/(-16) - (-6)/8. Differentiate l*f**3 + 1 - 2 + 8 - 2 wrt f.
18*f**2
Let g(h) = h + 22. Let t be g(-19). Let q(w) be the first derivative of 0*w**2 + 0*w + 1/2*w**4 + 1 + 2/3*w**t. What is the third derivative of q(x) wrt x?
12
Let u(b) be the first derivative of b**6/120 + b**5/60 - 2*b**3/3 + 2. Let z(w) be the third derivative of u(w). Find the second derivative of z(j) wrt j.
6
Let w(z) be the first derivative of 2*z**6/3 - 11*z**2/2 - 6. What is the second derivative of w(h) wrt h?
80*h**3
Let c be (10 + -7)/(6/4). Differentiate -c + 0 - 3*n + n + 0 with respect to n.
-2
Let a(d) be the first derivative of 7*d**6/6 + 7*d**2 - 17. Find the second derivative of a(v) wrt v.
140*v**3
Let u(o) be the second derivative of -8*o**6/15 + 3*o**5/20 + 41*o**2/2 + 8*o. What is the first derivative of u(x) wrt x?
-64*x**3 + 9*x**2
Let j(x) be the first derivative of 3*x**5/20 + 7*x**3/6 + 9*x**2/2 + 9. Let z(l) be the second derivative of j(l). Differentiate z(k) wrt k.
18*k
Let o(f) be the third derivative of -f**9/56 - f**5/20 + 7*f**2. What is the third derivative of o(k) wrt k?
-1080*k**3
Let i(p) = 2*p - 4. Let r be i(3). What is the derivative of q + r*q + 1 + 0*q + 2 wrt q?
3
Suppose -4 = -4*i - 2*v, 5*v + 1 = -4*i - 1. Suppose -2*x - 118 = -4*x. What is the third derivative of x*a - 3*a**4 - a**i - 59*a wrt a?
-72*a
Let s(g) be the third derivative of -19*g**4/24 - 19*g**3/6 - 4*g**2. Differentiate s(m) with respect to m.
-19
Let j(l) be the first derivative of 4 + 0*l**4 - 3/2*l**2 + 0*l + 0*l**3 - 3/5*l**5. Find the second derivative of j(n) wrt n.
-36*n**2
Let t(q) = q**3 - 6*q**2 - 7*q + 2. Let j be t(7). What is the third derivative of -4*s**5 - 3*s**2 - 2*s**j + 3*s**5 + 8*s**5 wrt s?
420*s**2
Let q(s) be the second derivative of s**7/1260 + s**5/60 + s**4/12 + 3*s. Let h(c) be the third derivative of q(c). Find the first derivative of h(v) wrt v.
4*v
Let k(p) be the third derivative of p**9/3024 + p**5/120 + p**4/6 + 5*p**2. Let i(c) be the second derivative of k(c). Find the first derivative of i(o) wrt o.
20*o**3
Let z(h) be the second derivative of 1/3*h**4 + 0*h**2 + 0 - 6*h + 5/6*h**3. Find the second derivative of z(y) wrt y.
8
Let o(n) be the first derivative of 9*n**5/5 + n**2 - 46*n - 31. Differentiate o(b) with respect 