*w**3
Let x(f) = 2*f + 9. Let d be (-1)/(2 + 45/(-21)). Let a(p) = 2*p - 3 + d + 4. Let r(g) = 6*a(g) - 5*x(g). Differentiate r(i) wrt i.
2
Let q(m) be the first derivative of 2*m**5/5 - 8*m**3/3 + 3. What is the third derivative of q(k) wrt k?
48*k
Suppose 2*w + 12 = 5*w. Find the third derivative of 5*g**w - 48*g + g**2 + 48*g wrt g.
120*g
Let x = 0 + 2. Suppose j - 2*j = -x*c - 2, 0 = -j - 3*c + 2. What is the second derivative of 0*o + o**2 - o**4 - o**j + 2*o wrt o?
-12*o**2
Let w(m) = m**3 - 6*m**2 + 5. Let x be w(6). Suppose -5*v = x*c - 15 - 10, -v - 4*c = -5. Find the second derivative of 2*g**v + 7 - 7 - 2*g wrt g.
40*g**3
Let k(a) = a**2 + 8*a. Let b be k(-8). Let i(m) be the second derivative of 0*m**2 + m + 1/12*m**4 + 1/3*m**3 + b. Find the second derivative of i(w) wrt w.
2
What is the first derivative of -4*v**3 + v**3 - 6 - 2*v**3 + 2*v**3 wrt v?
-9*v**2
Let p(r) be the third derivative of 3*r**7/35 - 10*r**3/3 + 29*r**2. Differentiate p(a) with respect to a.
72*a**3
Let v(g) be the second derivative of 0 - 1/2*g**2 + 4*g - 1/4*g**4 + 0*g**3. Differentiate v(j) with respect to j.
-6*j
Let z(n) = -n + 10. Let r be z(8). What is the third derivative of 3*u**3 - r + 2 - 2*u**2 wrt u?
18
Let a(v) be the first derivative of v**3 - 2*v**2 + 2. What is the second derivative of a(b) wrt b?
6
Let z(y) be the first derivative of -y**5/4 - y**3/3 + 2*y + 4. Let j(w) be the first derivative of z(w). What is the second derivative of j(p) wrt p?
-30*p
Let c(t) be the third derivative of -t**7/14 - t**4/6 + 15*t**2. What is the second derivative of c(b) wrt b?
-180*b**2
Let g(q) = -q**3 - 27*q**2 - 5. Let r(h) = 14*h**2 + 2. Let m(s) = -2*g(s) - 5*r(s). What is the third derivative of m(y) wrt y?
12
Suppose z = 3*z + 16. Let m(k) = -5*k**3 - 8*k + 21. Let q(o) = -3*o**3 - 5*o + 14. Let u(y) = z*q(y) + 5*m(y). Differentiate u(b) wrt b.
-3*b**2
Let d = 7 + -5. Find the third derivative of 16*h**2 - 3*h**6 + 10*h**2 - 32*h**d wrt h.
-360*h**3
Let r(v) be the first derivative of -v**4/4 + 4*v**3/3 + 3*v**2 - 2*v - 2. Let x be r(5). What is the second derivative of i**x + i - 2*i - 2*i**3 wrt i?
-6*i
Let b(v) be the third derivative of 0*v**5 + 0*v**3 + 0*v + 1/42*v**7 + 1/4*v**4 + 0*v**6 + v**2 + 0. Find the second derivative of b(k) wrt k.
60*k**2
Let p be 2/3*(-30)/(-4). Suppose 0 = -p*q + 7 + 13, 2*j + 4*q - 18 = 0. What is the derivative of z + 0 - 2*z + j wrt z?
-1
Suppose -q + 2 = -3. What is the second derivative of -2*w**5 - w**5 - 4*w - 2*w + q*w wrt w?
-60*w**3
Find the first derivative of 0 + 6*s**3 - 10 - 1 + 0 wrt s.
18*s**2
Let w(c) be the third derivative of 0 + 0*c - 1/20*c**6 - 1/12*c**4 + 4*c**2 + 0*c**5 + 0*c**3. What is the second derivative of w(h) wrt h?
-36*h
What is the third derivative of 3*l - 5*l + l**3 - 2*l**2 + 3*l - 21*l**4 + 13*l**4 wrt l?
-192*l + 6
Let a = -2 + 0. Let u = 0 - a. Find the second derivative of -u*o + o**3 + o + 3*o wrt o.
6*o
Let k(b) be the second derivative of 0 + 6*b - 1/10*b**5 + 0*b**2 - 5/6*b**3 + 0*b**4. What is the second derivative of k(v) wrt v?
-12*v
Let i(s) be the first derivative of -s**2 + 4 - 5 - s**3 + 3. Find the second derivative of i(p) wrt p.
-6
Suppose 84 = 3*j + j. Suppose 0*s - 3*s = -4*x - j, -s + 4*x = -15. Differentiate 2*g**2 + 2 + 3 - s wrt g.
4*g
Let v(t) be the second derivative of 3*t**8/28 - t**4/12 - 6*t. What is the third derivative of v(j) wrt j?
720*j**3
Suppose -k = -2*p - 13, 3*k + 0*p = 5*p + 35. Suppose 2*w + k = 11. Find the third derivative of 3*s**2 + 2*s**w + s**3 + 0*s**3 - 2*s**3 wrt s.
6
Differentiate 71*j + 72*j + 39 - 138*j - 4 wrt j.
5
Suppose -3*k = 2*p - 6 - 9, k + p = 6. Suppose 0*n + n = -2*d - 1, -3*n - k = 0. Find the second derivative of 2*w**2 - 4*w**2 - w + d*w wrt w.
-4
Let o = -3 - -7. Let r = -17 + 16. Let l(k) = -k**2 + 1. Let p(g) = -5*g**2 + 5. Let d(t) = o*l(t) + r*p(t). Differentiate d(a) wrt a.
2*a
Let a(i) be the second derivative of -13*i**5/20 + 9*i**2 - 14*i. What is the derivative of a(z) wrt z?
-39*z**2
Let r(w) be the third derivative of 0*w**7 - 1/20*w**5 + 0*w + 0*w**6 - 1/168*w**8 - w**2 + 0*w**3 + 0*w**4 + 0. Find the third derivative of r(v) wrt v.
-120*v**2
Let p be (2 + -1)*(3 - 1). Find the third derivative of 3*r**p - 2*r**5 - 2 + 2 + 6*r**5 wrt r.
240*r**2
Let r(n) = -1 - n**3 - 1 - 3*n - n**2 + 6*n**2. Let j be r(4). Find the second derivative of h**2 + j*h**4 - h - h**2 wrt h.
24*h**2
Suppose o = -0*o. Suppose -3*y + 6 + o = 0. What is the third derivative of -4*b**2 - 3*b**5 + y*b**2 + b**2 wrt b?
-180*b**2
Let x(w) be the first derivative of -w**6/180 - w**5/120 + w**3 - 2. Let a(h) be the third derivative of x(h). Find the second derivative of a(s) wrt s.
-4
Let d(n) be the third derivative of -3*n**4/4 + n**3 + 7*n**2. What is the first derivative of d(b) wrt b?
-18
Let n(o) be the second derivative of 53*o**7/42 + 5*o**4/12 + 3*o**2/2 - 5*o - 2. What is the third derivative of n(p) wrt p?
3180*p**2
Let p(m) be the first derivative of m**7/420 - m**4/8 - m**3 + 1. Let b(l) be the third derivative of p(l). Differentiate b(g) wrt g.
6*g**2
Find the third derivative of -26*r**4 + 4*r**6 + 7*r**2 + 16*r**4 + 10*r**4 wrt r.
480*r**3
Let r(v) = v**2 + 3*v + 2. Let l be r(-3). Let c be 2/2 + 3*1. What is the second derivative of -c + 4 - l*d**5 + 2*d wrt d?
-40*d**3
Find the third derivative of 2*j**4 + 3*j**4 - 26*j**2 - 6*j**4 + 2*j**4 wrt j.
24*j
Let c(a) = -a + 2. Let y be c(5). Let x be (-2 - 0)/(3/y). Find the first derivative of -g**2 - 1 + 4*g**x - 4*g**2 wrt g.
-2*g
Let f(t) = -t**3 - 6*t**2 - 2*t + 3. Let r be f(-6). Suppose k - p + 8 = 2*k, 0 = 5*p - r. What is the derivative of 2*c - 3*c + k*c + 1 wrt c?
4
Let n(d) be the third derivative of d**2 + 0*d**7 + 0*d**6 + 5/336*d**8 - 1/60*d**5 + 0*d**3 + 0 + 0*d**4 + 0*d. Find the third derivative of n(f) wrt f.
300*f**2
Let g(z) = -10*z**4 + z**3 + 6*z**2 - 4*z. Let s(i) = -i**2 + i. Let a(p) = g(p) + 4*s(p). What is the third derivative of a(k) wrt k?
-240*k + 6
Let r(n) be the first derivative of -2*n + 0*n**3 - 5/4*n**4 + 0*n**2 + 5. What is the first derivative of r(w) wrt w?
-15*w**2
Let v = 8 + -20. Let s = 17 + v. What is the second derivative of -p**5 + 2*p + 0*p - p**s wrt p?
-40*p**3
What is the third derivative of -15*p**5 - 17*p**2 - 28*p**5 - 2*p**2 - 2*p**2 wrt p?
-2580*p**2
Suppose -6 = s - 3*s. Suppose 27 - 9 = s*y. Differentiate 4 - 7 - y*r**2 + 5*r**2 wrt r.
-2*r
Let r be 66/14 + 10/35. What is the third derivative of -4*k**5 + 3*k**5 + 2*k**2 + 2*k**r wrt k?
60*k**2
Let t = -4 + 8. Let r = -1 + t. What is the second derivative of 2*i**2 - 3*i**2 + 4*i - r*i wrt i?
-2
Suppose l - 5*o = 8, -11 = -5*l - 5*o + o. Find the second derivative of 2*a**3 + 2*a + 3 - a - l wrt a.
12*a
Suppose 5*v - 5*h - 20 = 0, -3*v + 13 = -5*h + 3*h. Find the second derivative of 3*r**5 - 3*r - r + r - 2*r**v wrt r.
20*r**3
What is the third derivative of -32*d**2 + 2*d**5 + 2933*d**3 - 2933*d**3 wrt d?
120*d**2
Let g(n) = -1. Let y be ((-1)/(-3))/(12/180). Let r = 2 - 3. Let m(t) = -3*t - 4. Let o(c) = r*m(c) + y*g(c). Differentiate o(l) with respect to l.
3
Let x be 4 + (0 + -1)*1. Let f(n) = n**4 + 4. Let m(r) = 2*r**4 + 5. Let h(b) = x*m(b) - 4*f(b). Differentiate h(k) wrt k.
8*k**3
What is the second derivative of 5*k**3 - 8*k + 3*k - 3*k wrt k?
30*k
What is the second derivative of -17*r**2 - r + 4*r + 10*r**2 wrt r?
-14
Suppose 0 = -0*j + 4*j - 8. What is the second derivative of 17 - 17 - i - 2*i + 3*i**j wrt i?
6
Let j(v) be the first derivative of -3*v**3 + 5*v**2/2 + 16. Find the second derivative of j(k) wrt k.
-18
Let n(q) be the third derivative of 0*q**3 + 1/24*q**6 - 1/20*q**5 + 0 + 0*q + 3*q**2 + 0*q**4. Find the third derivative of n(x) wrt x.
30
Let n = 16 + -13. What is the second derivative of 6*l + 5*l + n*l**4 - 6*l wrt l?
36*l**2
Let d be 181/60 - (3 + 0). Let b(j) be the third derivative of 0*j + 0 + 0*j**4 + d*j**5 + 1/6*j**3 - 2*j**2. Find the first derivative of b(r) wrt r.
2*r
Let q(v) be the third derivative of v**9/3024 + v**6/180 - v**3/3 + v**2. Let f(y) be the first derivative of q(y). What is the third derivative of f(z) wrt z?
60*z**2
Let b be ((-4)/(-5))/((-1)/(-5)). Suppose -t + b = 2. What is the third derivative of l*