7*n**2/2 + 10*n. Differentiate r(k) with respect to k.
-10*k
Let v = -11 - -16. Suppose v*j - 14 + 4 = 0. Find the second derivative of i + 5*i + 5*i**5 - j*i**5 - 3*i wrt i.
60*i**3
What is the third derivative of g**4 - 94*g**2 + 49*g**2 + 51*g**2 wrt g?
24*g
Let w(z) be the first derivative of -2*z**4 - 4*z**2 - 2. Find the second derivative of w(j) wrt j.
-48*j
Let z(h) = -18*h**3 - 41*h**2 - 4. Let p(v) = 35*v**3 + 82*v**2 + 7. Let b(c) = 4*p(c) + 7*z(c). Find the third derivative of b(l) wrt l.
84
Let x(f) = 9*f - 2. Let p(l) = 28*l - 6. Let o = 8 + -3. Let u(y) = o*p(y) - 16*x(y). Find the first derivative of u(s) wrt s.
-4
Let g be ((-20)/8)/(3/(-6)). Let a(p) = 12*p**4 + 5*p**3 + 5*p - 2. Let c(b) = -b**4 - b**3 - b. Let u(t) = g*c(t) + a(t). Differentiate u(j) wrt j.
28*j**3
What is the third derivative of 2*g**2 + 61*g - 61*g - 38*g**6 + 12*g**2 wrt g?
-4560*g**3
Let c(a) be the second derivative of 5*a**4/12 - a**2 + a. What is the first derivative of c(y) wrt y?
10*y
Suppose 0 = 4*h - 8 - 4. What is the second derivative of p + 12 - 12 + h*p**2 wrt p?
6
What is the derivative of 197*h**4 - 194*h**4 - 5 - 12 wrt h?
12*h**3
Suppose -2*a + 9 = y, 2*a = 3*y - a. Find the third derivative of -7*q**2 + q**2 + 2*q**2 + 6*q**4 - y*q**2 wrt q.
144*q
Let s(g) = 10*g**2 + 9*g. Let d be (1 + (-6)/4)*-2. Let i(u) = u**2 + u. Let r(b) = d*s(b) - 6*i(b). Find the second derivative of r(h) wrt h.
8
Suppose -p + 3 = -8. Find the third derivative of -p*q**4 - 421*q + 421*q + 8*q**2 wrt q.
-264*q
Let i(b) be the second derivative of -b**6/360 + b**5/30 - b**3/3 + 3*b. Let h(u) be the second derivative of i(u). Find the second derivative of h(g) wrt g.
-2
Let q(w) = -8*w**3 - 50*w**2 - 5. Let v(z) = 4*z**3 + 25*z**2 + 2. Let l(p) = 2*q(p) + 5*v(p). What is the third derivative of l(f) wrt f?
24
What is the derivative of 0*n**2 + 7 - 2*n**2 + 2*n**2 - n**2 wrt n?
-2*n
What is the second derivative of 40*o - 62*o**3 + 39*o**4 + 62*o**3 - 7*o wrt o?
468*o**2
Let s = -49 - -52. Let w(r) be the first derivative of -2 + 1/2*r**4 + 2*r + 0*r**s + 0*r**2. Differentiate w(c) with respect to c.
6*c**2
Let r(n) be the second derivative of -n**6/30 + 7*n**3/6 - 3*n. What is the second derivative of r(p) wrt p?
-12*p**2
Let u(k) be the second derivative of 7*k**5/5 - 49*k**4/12 + 2*k - 67. What is the third derivative of u(l) wrt l?
168
Let d(s) be the third derivative of s**10/10080 - s**6/360 + s**4/8 - s**2. Let l(z) be the second derivative of d(z). Find the second derivative of l(q) wrt q.
60*q**3
Let a(p) = -14*p**3 - 12*p**2 - 9*p + 11. Let y(m) = -29*m**3 - 26*m**2 - 19*m + 23. Let r(g) = 13*a(g) - 6*y(g). What is the derivative of r(d) wrt d?
-24*d**2 - 3
Let p(n) be the third derivative of 13*n**7/105 - 4*n**3/3 - 2*n**2. What is the first derivative of p(g) wrt g?
104*g**3
Let j(t) = 50*t**2 - 10*t. Let o(a) = 100*a**2 - 19*a. Let b(c) = 13*j(c) - 6*o(c). Find the second derivative of b(z) wrt z.
100
Suppose l + 2*m = 0, 4*l + 2*m = 17 - 5. Find the first derivative of 0 - l + 5 + 2 - 3*s**2 wrt s.
-6*s
Let n(x) = -5*x**2 - 7. Let o(a) = -10*a**2 - 15. Suppose -2*v = -5*v - 27. Let s(r) = v*n(r) + 4*o(r). What is the first derivative of s(b) wrt b?
10*b
Let m = 7 - 8. Let t(b) = b**2 - b - 1. Let f(q) = 3*q**2 + 4*q + 10. Let g(v) = m*f(v) - 4*t(v). Differentiate g(i) with respect to i.
-14*i
Find the first derivative of -17*s**4 - 2 - 10 - 9 + 1 wrt s.
-68*s**3
Let c(g) be the second derivative of -g**3/3 - 3*g**2/2 - g. Let t be c(-3). Differentiate 1 + 4 - t*y**3 + 2*y**3 - 3 wrt y.
-3*y**2
Let q(c) be the first derivative of -c**4/2 - 2*c - 5. Find the first derivative of q(g) wrt g.
-6*g**2
What is the third derivative of -7*z**4 + 0*z**2 - 4*z**2 - 3*z**2 wrt z?
-168*z
Suppose -n = -5*n. Let m be 1 - n*(-1)/2. Let p(v) = -1. Let h(i) = -2*i**3 - i + 3. Let s(t) = m*h(t) + 3*p(t). Find the second derivative of s(k) wrt k.
-12*k
Let o(i) be the first derivative of 0*i - 3/2*i**2 + 0*i**3 - 3/4*i**4 + 2. What is the second derivative of o(f) wrt f?
-18*f
Suppose -s - 2 = 2*q - 3*s, 5*s = 15. Let j = -1 - -4. Find the third derivative of -4*n**6 + n**2 + j*n**6 + q*n**6 wrt n.
120*n**3
Let f(h) = h**3 - h. Let g be f(-1). Let u be 0 + (1 - -1 - 0). Find the second derivative of 2*n**2 + g*n**u - 3*n + n**2 wrt n.
6
Let t(g) = -5*g - 3. Let x be t(-2). What is the second derivative of 2*c**3 - 7*c**2 + x*c**2 + c wrt c?
12*c
Let r(p) be the second derivative of 0*p**4 + 0*p**2 - 1/6*p**3 + 2*p + 0 - 1/15*p**6 + 0*p**5. Find the second derivative of r(s) wrt s.
-24*s**2
Suppose -3*w + 7 = i - 0*i, -2*w - 2*i - 2 = 0. Find the third derivative of 9*q**4 - 2*q**2 - 11*q**w + 0*q**2 wrt q.
-48*q
Let g(l) = 4*l + 39. Let j(y) = 28*y + 272. Let o(x) = -20*g(x) + 3*j(x). Differentiate o(w) with respect to w.
4
Find the second derivative of -10*i + 5*i - 15*i**5 - 40*i wrt i.
-300*i**3
Suppose -3*g = -6*g + 3. Let m be 12 + (2 + g - 6). Find the second derivative of -m*z + 0*z**2 + 5*z + 2*z**3 + 0*z**2 wrt z.
12*z
What is the first derivative of -3 + 9*y**3 - 2*y**3 + 2 + 5 wrt y?
21*y**2
Let j(h) be the first derivative of h**6/6 - 5*h**5 - h**2 + 8*h - 48. Find the second derivative of j(p) wrt p.
20*p**3 - 300*p**2
Suppose 2*w + 48 = 5*w. Suppose c + 4*s = -14, -4*c + 3*s = -2*c - w. Differentiate -3 + 3*h + 4 - c*h wrt h.
1
Let o be 26/8 + 1/(-4). Differentiate -o - 15*s - 2*s**2 + 15*s wrt s.
-4*s
Find the second derivative of -t**4 - 24*t - t**5 + t**4 + 29*t wrt t.
-20*t**3
Find the second derivative of 6*c**5 + 19*c - 52*c**4 + 52*c**4 wrt c.
120*c**3
Let f(m) be the second derivative of 0 + 2*m + 0*m**3 + 1/6*m**4 + 0*m**5 + 1/15*m**6 + 0*m**2. Find the third derivative of f(n) wrt n.
48*n
Let j = 6 + -3. Suppose 5*k = 4*b + 20, 0 = -5*b - k - j*k + 16. Find the third derivative of a**3 + b*a**3 + 0*a**3 - 2*a**2 wrt a.
6
Find the third derivative of 3*w**2 - w**2 + 7*w**4 - 5*w**4 wrt w.
48*w
Let d(m) be the first derivative of -m**7/35 - m**5/10 - 9*m**2/2 + 6. Let i(v) be the second derivative of d(v). Find the third derivative of i(l) wrt l.
-144*l
Let d be ((-6)/(1 - 4))/2. Find the third derivative of 2*z**5 + z**5 + d - 3*z**2 - 1 wrt z.
180*z**2
Let d(p) be the third derivative of -p**9/7560 - p**5/60 - p**4/24 - p**2. Let k(h) be the second derivative of d(h). Find the first derivative of k(w) wrt w.
-8*w**3
Let q(g) be the first derivative of -g**6 - 3*g**2 + 2. Find the second derivative of q(t) wrt t.
-120*t**3
Differentiate -2 - 16*k - 2*k**3 + 16*k with respect to k.
-6*k**2
Let h(x) be the third derivative of 4*x**2 - 2/105*x**7 + 0*x**3 - 1/8*x**4 + 0*x**5 + 0*x**6 + 0*x + 0. Find the second derivative of h(t) wrt t.
-48*t**2
Let i(n) be the second derivative of 5*n + 0 + n**3 + 0*n**2 - 1/5*n**5 + 0*n**4. Find the second derivative of i(y) wrt y.
-24*y
Let y be (-1)/(-9) + 88/18. Differentiate 8*c**3 - 4 + 5*c + 9 - y*c with respect to c.
24*c**2
Let h(p) be the second derivative of p**6/10 - 10*p**3/3 + 8*p. What is the second derivative of h(o) wrt o?
36*o**2
Let k(c) = c + 3. Let z be k(0). Let y be z/3*(-4)/(-2). Find the second derivative of y*s + 4*s**3 + 0*s**3 - 3*s**3 wrt s.
6*s
Let j = -5 - -8. What is the third derivative of j*r**5 + r**3 - r**3 - r**2 wrt r?
180*r**2
Let x = -8 - -10. Let c(o) be the second derivative of 3/2*o**2 + 0 - x*o + 0*o**3 + 1/12*o**4. Differentiate c(n) with respect to n.
2*n
Suppose -2*x = -3*x + 2. What is the third derivative of -5*c - 3*c**4 - c**2 + 5*c - x*c**2 wrt c?
-72*c
Differentiate -6 + 17 + 11*n**2 - 8*n**2 with respect to n.
6*n
Let g(s) be the third derivative of -3*s**2 + 0*s**4 + 0*s**7 + 1/336*s**8 + 0*s + 0*s**6 + 0*s**3 + 1/30*s**5 + 0. Find the third derivative of g(v) wrt v.
60*v**2
Let n(y) be the second derivative of 0*y**3 + 0 + 5/12*y**4 + 3/2*y**2 - 6*y. Differentiate n(d) with respect to d.
10*d
Let s(v) be the third derivative of -v**7/280 + v**5/60 - v**3/3 + 3*v**2. Let q(m) be the first derivative of s(m). Find the second derivative of q(b) wrt b.
-18*b
What is the second derivative of -2153*d**3 - 45*d**4 + 2153*d**3 - 10*d wrt d?
-540*d**2
Let u(k) be the second derivative of -k**6/10 - 3*k**4/4 + 10*k. Find the third derivative of u(f) wrt f.
-72*f
Find t