second derivative of -r + 4*r + p*r**3 + o*r wrt r.
18*r
Suppose 0*v - 4 = -v. Suppose -v*x - 5 = -3*x. Let s(k) = -k + 7. Let z(b) = b - 8. Let o(h) = x*z(h) - 6*s(h). Differentiate o(y) wrt y.
1
Let z(j) be the first derivative of -17*j**6/6 - 7*j**3 - 7. What is the third derivative of z(b) wrt b?
-1020*b**2
Let d(x) = -x**3 - 9*x**2 - 9*x - 6. Let o be d(-8). Find the third derivative of -3*b**5 + 0*b**5 + 4*b**2 + 0*b**o wrt b.
-180*b**2
Let a(g) be the first derivative of -4*g**3/3 - 3*g + 3. Let z(b) = b**3 - 3*b**2 - 2. Let r(s) = 3*a(s) - 4*z(s). Differentiate r(q) with respect to q.
-12*q**2
Let a = 3571/30 - 119. Let t(o) be the third derivative of -1/40*o**6 - a*o**5 + 0 + 0*o + 2*o**2 + 0*o**3 + 0*o**4. Find the third derivative of t(g) wrt g.
-18
Let u = 5 + -2. Differentiate u*b**2 + 1 + 3 - 11 wrt b.
6*b
Let d(r) be the third derivative of 0*r - 1/168*r**8 + 0*r**4 + 0*r**6 + 3*r**2 + 1/20*r**5 + 0*r**3 + 0 + 0*r**7. What is the third derivative of d(x) wrt x?
-120*x**2
Suppose 7*h = 4*h + 6. Let c(m) be the first derivative of 2*m + 1/2*m**h + 2. What is the derivative of c(b) wrt b?
1
Let f(g) be the second derivative of 0 + 0*g**6 + 1/14*g**7 + 5/6*g**3 + 0*g**5 + 4*g + 0*g**4 + 0*g**2. What is the second derivative of f(c) wrt c?
60*c**3
Let l(h) be the third derivative of 0 - 1/30*h**5 - 2*h**2 + 1/3*h**3 + 0*h**4 + 0*h. What is the derivative of l(q) wrt q?
-4*q
Find the third derivative of 3 + 2 - 4 + 11*q**2 + 46*q**5 wrt q.
2760*q**2
Suppose -4*h + 7*h = 0. Suppose -3*a + h*b = -b - 10, 2*a - 5*b - 24 = 0. What is the derivative of -1 + 0 - 2*m**a + 2 wrt m?
-4*m
Let a = 3 - 1. What is the second derivative of -4*u**a - 3*u + 2*u**2 - 2*u wrt u?
-4
Let u(v) = 15*v - 12. Let g(c) = -14*c + 12. Let r(i) = 5*g(i) + 4*u(i). Find the first derivative of r(l) wrt l.
-10
Find the third derivative of 22*x**4 + x**4 - 730*x**2 + 699*x**2 wrt x.
552*x
Let x(m) be the first derivative of -13*m**4/4 + 11*m - 10. What is the derivative of x(n) wrt n?
-39*n**2
Let y = -15 - -30. Find the third derivative of 15*w - w**2 + 3*w**6 - y*w wrt w.
360*w**3
Let c be 3/(1 + 0)*40/60. Let t(x) be the first derivative of -3 - x**3 + 3/2*x**c + 0*x. Find the second derivative of t(v) wrt v.
-6
Let q = 4 + -10. Let y = -4 - q. Find the second derivative of -6*o + y*o - o**2 + o + 2*o wrt o.
-2
Let h be (4 + 0)/2*(-1 - -3). Let u(m) be the first derivative of -2 - 1/2*m**h + 0*m**2 + 0*m + m**3. What is the third derivative of u(j) wrt j?
-12
Let y(d) be the third derivative of -d**4/6 - 5*d**3/3 - 18*d**2. What is the first derivative of y(t) wrt t?
-4
Let z(o) = 2*o**3 + o**2 + o - 1. Let c be z(1). Find the second derivative of 5*f**c - 3*f**3 - 5*f + 14*f + 3*f**3 wrt f.
30*f
Let v(w) = -w**4 - w**3 + w + 1. Let t(z) = -15*z**4 + 3*z**3 - 3*z + 4. Let a(d) = 2*t(d) + 6*v(d). What is the derivative of a(r) wrt r?
-144*r**3
What is the third derivative of 0*u**5 - u**2 + 0*u**5 - 6*u**5 wrt u?
-360*u**2
Let b(l) = 22*l**5 - 4*l**2 + 14*l. Let t(o) = -23*o**5 + 5*o**2 - 14*o. Let j(v) = -5*b(v) - 4*t(v). Find the second derivative of j(r) wrt r.
-360*r**3
Let r = 9 - 4. Let o be 4/(-2 + 3) + -2. What is the second derivative of 0*s**2 + s - s**r + 0*s**o wrt s?
-20*s**3
Let y be (1 + 0)*6/2. Find the second derivative of y*m + m**3 + m + m**3 wrt m.
12*m
Let f(u) = 23*u**3 + 20*u**2. Let x(l) = -l**3. Let h(a) = -f(a) - 5*x(a). What is the third derivative of h(b) wrt b?
-108
Find the third derivative of 15*z**3 - 17*z**2 - 4*z**3 + 7*z**3 wrt z.
108
Differentiate 0*g**3 - 14 - 2*g**3 - 2*g**3 - 7*g**3 wrt g.
-33*g**2
Let l(u) be the second derivative of -1/2*u**4 + 5/6*u**3 + 0 + 0*u**2 + u. Find the second derivative of l(t) wrt t.
-12
Let y(i) be the first derivative of 3 - 2*i**2 + 0*i**2 - i**4 + 3 - 3. What is the second derivative of y(s) wrt s?
-24*s
Let o(m) be the second derivative of -19*m**3/6 - 5*m**2 - 35*m. Find the first derivative of o(z) wrt z.
-19
Let n be 10/8 - (-4)/(-16). Let g be n + 0 - -3 - 2. What is the derivative of 0 + 2*w**2 - 3 + 0*w**g - 5*w**2 wrt w?
-6*w
Let x(l) = 43*l**3 + l - 11. Let h(i) = 21*i**3 + i - 6. Let c(s) = 11*h(s) - 6*x(s). Find the second derivative of c(j) wrt j.
-162*j
Find the third derivative of -6*k**4 - 6*k**4 - k**2 + 10*k**4 wrt k.
-48*k
Let h(b) = -26*b**3 + 4*b**2 - 4. Let r(l) = -27*l**3 + 3*l**2 - l - 3. Let j(m) = -3*h(m) + 4*r(m). What is the second derivative of j(i) wrt i?
-180*i
Let d(j) be the third derivative of j**5/60 - j**3/3 + 9*j**2. Find the first derivative of d(v) wrt v.
2*v
Find the third derivative of 6*x**2 - 7*x**2 + 10*x**2 - 5*x**4 wrt x.
-120*x
Suppose 2*y + 21 = 5*t, t + 2*y - 3 = -2*t. Suppose b + t = 4. Differentiate -a**4 - a**4 + 2 - b with respect to a.
-8*a**3
Let f be 3/(-2)*(-4)/3. Find the third derivative of o**6 + 8*o**6 - o**6 - 5*o**f - 4*o**6 wrt o.
480*o**3
Find the third derivative of -9*z**3 - 13*z**2 - 2 + 2 - 3*z**3 wrt z.
-72
Let l(f) be the second derivative of -f**7/7 + 2*f**4/3 - 11*f. What is the third derivative of l(s) wrt s?
-360*s**2
Let s(k) be the first derivative of -2 + 0*k**2 + 1/3*k**3 - 1/6*k**6 + 0*k + 0*k**4 + 0*k**5. Find the third derivative of s(b) wrt b.
-60*b**2
Let o(y) = y**2 - 7*y. Let r be o(6). Let m(q) = -q**3 - 6*q**2 - q - 2. Let u be m(r). What is the third derivative of -a**6 - 2*a**2 + u*a**2 + 0*a**6 wrt a?
-120*a**3
Let g be 0 + 7 + 12/(-4). Let z = g + 0. Find the third derivative of 5 - 5 + 3*b**3 + 0*b**3 - z*b**2 wrt b.
18
Let h(c) be the second derivative of -c**6/120 - c**4/12 - c**3/2 - c. Let u(j) be the second derivative of h(j). Find the first derivative of u(g) wrt g.
-6*g
Let h(u) be the second derivative of -2/21*u**7 + 0*u**6 - 2*u + 0*u**2 + 0 + 0*u**4 + 5/6*u**3 + 0*u**5. What is the second derivative of h(p) wrt p?
-80*p**3
Let f(a) = a - 3. Let q be f(5). Find the first derivative of -3*p**2 + 2 - 5 + 4 - q wrt p.
-6*p
Let v(c) be the third derivative of 0*c - 1/12*c**4 + 0 + 5*c**2 + 1/60*c**6 + 0*c**3 + 0*c**5. What is the second derivative of v(f) wrt f?
12*f
Let t(g) = 3*g**2 + g + 3. Let l(p) = 2*p**2 + p + 4. Let b(d) = 3*l(d) - 4*t(d). Find the second derivative of b(u) wrt u.
-12
Let b(x) be the third derivative of -7*x**6/40 - x**4/4 - 21*x**2. Find the second derivative of b(g) wrt g.
-126*g
Let y(m) be the second derivative of m**10/30240 + m**6/240 - m**4/4 + 3*m. Let c(s) be the third derivative of y(s). Find the second derivative of c(k) wrt k.
20*k**3
Let f(l) = -2*l**3 - 5*l + 6. Let m(j) = 5*j**3 + 10*j - 11. Let u(d) = 11*f(d) + 6*m(d). Find the second derivative of u(h) wrt h.
48*h
Let k(z) be the first derivative of -5/2*z**2 + 0*z + 1/5*z**5 + 0*z**3 - 4 + 0*z**4. What is the second derivative of k(q) wrt q?
12*q**2
Let v(a) be the third derivative of -a**6/60 - a**5/15 - 6*a**2. Find the third derivative of v(x) wrt x.
-12
Let r = 3 + 0. Let n(l) = 2*l**r - l**3 + l**3 + l**4. Let b(m) = -2*m**4 - 3*m**3 + 1. Let u(p) = 2*b(p) + 3*n(p). Differentiate u(a) wrt a.
-4*a**3
Let n be 21/3 - (-2)/(-1). Find the third derivative of -m**n - 3*m**5 + 10*m**2 + m**2 - m**5 wrt m.
-300*m**2
Differentiate -3*j + 16 + 18 - 7 - 8 with respect to j.
-3
What is the first derivative of -71*r**3 - 71*r**3 + 25 + 141*r**3 wrt r?
-3*r**2
Let y = 6 + -6. What is the second derivative of 0 + y + 5*t + 2*t**3 - 3*t wrt t?
12*t
Let w = 7 - 3. Suppose -10 = -3*p - 2*p. Find the first derivative of 4*l**4 - 5*l**w - 4 + p wrt l.
-4*l**3
What is the third derivative of -p**3 - 12*p**3 - 3*p**4 + 8*p - 19*p**2 + 35*p**2 - 15*p**2 wrt p?
-72*p - 78
Suppose 0 = -o + 5*o + 4. Let z be (o + 2/4)*-4. Find the first derivative of z*v - v**2 + 2 - 2*v wrt v.
-2*v
Let w(q) be the first derivative of 0*q**2 - 2*q**3 + 0*q - 5/4*q**4 + 6. Find the third derivative of w(s) wrt s.
-30
Let w(z) be the first derivative of z**5/20 + 3*z**2/2 - 2*z - 3. Let d(l) be the first derivative of w(l). Differentiate d(k) wrt k.
3*k**2
Let g(p) = p**2 - 3*p - 1. Suppose 4*j + j = 20. Let d be g(j). Find the second derivative of 3*b**d - 3*b - 5*b**3 + 0*b + 4*b wrt b.
-12*b
Suppose -4*i + 0*i = -40. Differentiate -10*d**2 + 1 - 2*d**3 + i*d**2 with respect to d.
-6*d**2
Let n(p) be the second derivative of 0*p**3 + 