 7*v - 5. Let i(l) = l**2 - 1. Let f(j) = -j + 16. Let h be f(11). Let u(z) = h*i(z) - p(z). What is the second derivative of u(w) wrt w?
2
Let z = -12 + 17. What is the first derivative of z + 1 + 6*w**2 + 2 wrt w?
12*w
Find the third derivative of -53*y**3 - 7*y**6 + 19*y**2 + 53*y**3 wrt y.
-840*y**3
Let s(f) be the third derivative of 13*f**5/30 - 5*f**4/6 - 4*f**2. Find the second derivative of s(o) wrt o.
52
Suppose 0 = 3*v + 5*o - 22, 4*v + o - 5 - 13 = 0. Let a(k) be the second derivative of 0 + 0*k**3 - 1/4*k**v + k + 1/2*k**2. Differentiate a(t) wrt t.
-6*t
Let l(c) be the second derivative of -5*c**7/21 - c**4/3 - 11*c. What is the third derivative of l(w) wrt w?
-600*w**2
Let p(a) be the third derivative of a**8/56 + a**5/30 + 4*a**3/3 - 8*a**2 + a. What is the third derivative of p(w) wrt w?
360*w**2
Let c(z) = 2*z**2 - 4*z + 2. Let i be c(3). What is the derivative of -9 + i + h**3 - 3*h**3 wrt h?
-6*h**2
Let r(k) be the first derivative of k**4/2 - k**3/3 - 51*k**2/2 + 66. What is the second derivative of r(s) wrt s?
12*s - 2
Let m(n) be the first derivative of -7*n**6/360 + n**4/4 + 8*n**3/3 + 1. Let t(y) be the third derivative of m(y). What is the first derivative of t(b) wrt b?
-14*b
Suppose 3*r + r = 8. Suppose 2*p - r = p. Find the third derivative of -3*z**2 + 3*z**6 + 6*z**2 - 2*z**p - 4*z**6 wrt z.
-120*z**3
Let y(q) = -10*q**5 - q**4 + 5*q**3 - 32*q. Let z(j) = 11*j**5 - 6*j**3 + 32*j. Let u(r) = 6*y(r) + 5*z(r). What is the second derivative of u(k) wrt k?
-100*k**3 - 72*k**2
What is the second derivative of 0*i**5 - 12*i - 4*i**5 - 24*i wrt i?
-80*i**3
Let n(t) be the third derivative of -11*t**7/210 - 5*t**4/12 - 10*t**2. Find the second derivative of n(w) wrt w.
-132*w**2
Let l(w) be the third derivative of 0*w**6 + 1/112*w**8 + 0 - w**2 + 0*w**3 + 0*w**7 + 0*w**5 + 0*w + 1/12*w**4. Find the second derivative of l(g) wrt g.
60*g**3
Let a(j) = -j**2 + 3*j - 12. Let f(s) = -2*s**2 + 2*s - 11. Let w(p) = 2*a(p) - 3*f(p). What is the first derivative of w(n) wrt n?
8*n
Let r(p) = -17*p**4 - 4*p**2 + 16*p - 4. Let w(x) = -17*x**4 - 3*x**2 + 15*x - 3. Let a(f) = 3*r(f) - 4*w(f). What is the second derivative of a(u) wrt u?
204*u**2
Suppose -2*z - z = 12. Let f(s) = -6*s**3 - 2*s + 3. Let v(y) = 7*y**3 + 2*y - 4. Let r(j) = z*f(j) - 3*v(j). What is the second derivative of r(l) wrt l?
18*l
Let k be (-4)/(8/6 + -2). What is the third derivative of -13*r**6 + 8*r**k - 2*r**2 + 6*r**2 wrt r?
-600*r**3
Let q be (-1 + 4/4)/(-1). Let i(h) be the second derivative of h**2 + q + 0*h**4 + 2*h + 0*h**3 - 1/10*h**5. Find the first derivative of i(g) wrt g.
-6*g**2
Find the second derivative of -u - 96*u**2 - u + 101*u**2 wrt u.
10
What is the first derivative of 4*g - 3*g + 4 + 5 - 2 wrt g?
1
Suppose 0 = 6*w - 7*w + 13. Find the first derivative of 4 - 4*s**3 + w*s**3 + 4 - 1 wrt s.
27*s**2
Let k(v) = -v**2 + 4*v + 4. Let o be k(4). Find the second derivative of 2*f**3 - f**3 + f - o*f + 2*f**3 wrt f.
18*f
Find the second derivative of 3*l**3 + 3*l + 10*l - 9*l**3 wrt l.
-36*l
Let s(z) be the third derivative of -5*z**9/168 - 17*z**5/60 + 8*z**2. What is the third derivative of s(b) wrt b?
-1800*b**3
Let c(h) be the first derivative of h**4/2 + 2*h**3 + 5. What is the third derivative of c(o) wrt o?
12
Suppose -y - 2 = -3*i, 4*i - 9 = -2*y - 33. Let c = -5 - y. Find the third derivative of u**2 - c*u**6 + 6*u**6 - u**6 wrt u.
240*u**3
Let i(w) = w**2 + 2*w - 1. Let d be i(1). Find the first derivative of -x + 0*x + d + 2*x - 4*x wrt x.
-3
Let x(i) = -6*i + 18. Let j(a) = -2*a + 6. Let m(w) = -16*j(w) + 5*x(w). Let u be m(5). What is the derivative of -5*h**2 + 5*h**2 + h**4 + u wrt h?
4*h**3
Let c(d) be the first derivative of -d**4 - 3*d**2 + 3. What is the second derivative of c(s) wrt s?
-24*s
What is the third derivative of 5*x**3 - x**3 - 5*x**2 + 2*x**3 - 2*x**3 wrt x?
24
Let f(g) = 7*g**4 - g**3 + g**2 + 2. Let j(d) = 1 - 5*d**2 + 6*d**2 + 2*d**3 - 3*d**3 + 0. Let w(b) = f(b) - j(b). What is the derivative of w(r) wrt r?
28*r**3
Let u be 1/1 - (-4)/2. Let p = 7 - u. Find the second derivative of 3*l - l + 2*l**p - 4*l - 4*l**4 wrt l.
-24*l**2
Find the second derivative of -10*t**4 + 19*t + 6*t + 2*t - 20*t**4 wrt t.
-360*t**2
Let c(o) = -23*o - 48. Let l(p) = -25*p - 49. Let k(g) = -5*c(g) + 4*l(g). Find the first derivative of k(z) wrt z.
15
Suppose n + 27 = 3*g, -2*g - 4*n + 6 = 2. What is the second derivative of 3*v + g*v**4 + 1 + 2 - 3 wrt v?
96*v**2
Let h(n) = 5 + 4 + 2*n - 3. Suppose -k + 3*b - 4 = 9, 5*k + 5*b = -5. Let d(z) = -1. Let u(q) = k*d(q) - h(q). What is the first derivative of u(j) wrt j?
-2
Let t(y) = -2*y**4 + 12*y**3 + 8*y**2 - 22*y. Let v(r) = r**3 + r**2 - r. Let n(g) = -t(g) + 8*v(g). What is the second derivative of n(l) wrt l?
24*l**2 - 24*l
Let w(i) = -i**3 - 7*i**2 + 3. Let z be w(-7). Differentiate -z*k + 3 + 3 + 7*k with respect to k.
4
Let c = -1 - 2. Let o(y) = 6*y**2 - 1. Let r(t) = -3*t**2 + 1. Let s(n) = c*o(n) - 5*r(n). What is the derivative of s(p) wrt p?
-6*p
Let o(l) be the third derivative of l**6/40 - 23*l**5/60 - 10*l**3 + l**2 + 9*l. Differentiate o(x) wrt x.
9*x**2 - 46*x
Let x be 3 + (0 + 3)/3. Find the first derivative of 3 - 2*n**4 + 8*n**4 - 2*n**x wrt n.
16*n**3
Let b(f) = -2*f**3 - 2*f**2 + 2*f + 4. Let v be b(-3). What is the third derivative of l**4 + 34*l - v*l - 3*l**2 wrt l?
24*l
Let q(y) be the first derivative of -y**3/3 - 7*y**2/2 + 2*y + 2. Let h be q(-7). What is the third derivative of 57*r - 57*r + 4*r**2 - h*r**3 wrt r?
-12
Let d(u) = -4*u - 3. Let x be d(-5). Find the second derivative of 8*b**5 - 11*b - 4*b + x*b wrt b.
160*b**3
Let m(q) be the third derivative of -q**8/840 + 7*q**6/360 + q**3 - 9*q**2. Let n(w) be the first derivative of m(w). Find the third derivative of n(b) wrt b.
-48*b
Suppose -4*h + 8*h = x + 18, 4*h + x - 14 = 0. Suppose -3*k = -g + 8, h*g + 6*k - 3*k - 2 = 0. Find the second derivative of 0*q**4 + 4*q**4 - q**4 + g*q wrt q.
36*q**2
Let v = 8 + -1. Find the first derivative of -v*o**2 + 2 + 1 + 3*o**2 + o**2 wrt o.
-6*o
Let l(v) = 9*v**3 + 7*v**2 + 19*v - 7. Let r(t) = -5*t**3 - 3*t**2 - 9*t + 3. Let j(f) = 3*l(f) + 7*r(f). Find the second derivative of j(b) wrt b.
-48*b
Let y be (-14)/18 - (-2)/(-9). Let o = 0 - -3. Let v(c) = -4*c**2 - 3*c + 1. Let w(s) = -s. Let b(t) = o*w(t) + y*v(t). Differentiate b(r) with respect to r.
8*r
Let x(r) be the second derivative of 5*r**3/2 + 11*r**2 + 6*r. Find the first derivative of x(v) wrt v.
15
Let h(w) = 2*w**2 - 4*w + 2. Let i be h(2). Find the third derivative of 5*j**6 - 4*j**6 + 0*j**2 - 6*j**2 - i*j**6 wrt j.
-120*j**3
Let a(k) be the third derivative of -k**6/40 - k**4/6 + 9*k**2. Find the second derivative of a(i) wrt i.
-18*i
Let o(b) = 7*b**3 - 4*b**2 + b + 4. Let t(k) = k**3 - k**2 - k + 1. Let z(g) = o(g) - 4*t(g). What is the second derivative of z(j) wrt j?
18*j
Let c(h) = -6*h + 6. Suppose -4*o - 4 = 0, 0*o - 23 = -4*u + 3*o. Let g(s) = -6*s + 6. Let r(b) = u*g(b) - 4*c(b). What is the derivative of r(t) wrt t?
-6
Differentiate -3 - 1 + 0 + 7*o**3 wrt o.
21*o**2
Let q(y) = -y**2 + 6*y - 3. Let o be q(5). Differentiate -o - g + 3 - 4 + 0 with respect to g.
-1
Let z(q) = -2*q**2. Let v(u) = 2*u**2 - 1. Let j(x) = -3*v(x) - 4*z(x). What is the first derivative of j(p) wrt p?
4*p
Find the third derivative of 22*t**3 + 2395*t + 31*t**2 - 2395*t wrt t.
132
Let p(c) be the first derivative of 7*c**6/2 - 8*c**2 - 11. Find the second derivative of p(z) wrt z.
420*z**3
Suppose -3*j + 7 = 4. What is the third derivative of -j + 3*h**3 + 1 - 4*h**3 + 3*h**2 wrt h?
-6
Suppose a = -0*a + 5. What is the second derivative of -3*w - 3*w + 19*w**5 - 17*w**a + w wrt w?
40*w**3
Let n(r) = -2*r**3 + 2. Let q = 7 + -5. Let h be q/(-10) - 12/(-10). Let j(i) = 1. Let g(a) = h*n(a) - 3*j(a). Differentiate g(s) wrt s.
-6*s**2
Let a(p) = 20*p**3 - 4*p + 1. Let f(u) = -41*u**3 + 8*u - 2. Let l(r) = 7*a(r) + 4*f(r). Find the second derivative of l(w) wrt w.
-144*w
Let t(p) be the third derivative of 5/336*p**8 + 0*p**6 + 0 - 1/6*p**4 + 0*p**3 + 3*p**2 + 0*p**7 + 0*p + 0*p**5. What is the second derivative of t(c) wrt c?
100*c**3
Let i(t) be the second derivative of t**5/10 - 5*t**2/2 - 9*t. Find the first