ive of r**6/360 - r**4/8 - r**3/2 - r**2. Let i(p) be the first derivative of n(p). Differentiate i(s) with respect to s.
2*s
Let c(w) be the first derivative of 7*w**2/2 + 3*w - 1. What is the derivative of c(p) wrt p?
7
What is the third derivative of 36*s**2 + s**4 - 3*s**4 - 10*s**4 - 34*s**2 wrt s?
-288*s
Find the first derivative of -5*x + 12*x - x + 1 + 1 wrt x.
6
What is the second derivative of -2*k**3 - k**4 - 7*k**3 - 2*k + 9*k**3 wrt k?
-12*k**2
Find the second derivative of -62*j - 72*j - 40*j**5 + 250*j - 85*j wrt j.
-800*j**3
Let t(q) be the third derivative of q**6/120 + q**4/24 + q**3/6 + 4*q**2. Let s(f) be the first derivative of t(f). Differentiate s(y) with respect to y.
6*y
Let l(x) be the second derivative of -x**8/336 + x**4/24 + 5*x**3/6 - 5*x. Let v(q) be the second derivative of l(q). What is the derivative of v(j) wrt j?
-20*j**3
Let k(l) be the second derivative of 7*l**5/20 + 5*l**3/3 - 2*l. What is the second derivative of k(d) wrt d?
42*d
Let n(l) be the second derivative of l**9/3024 + l**7/315 - l**4/2 - 5*l. Let s(g) be the third derivative of n(g). Find the third derivative of s(b) wrt b.
120*b
Let r(o) = -o**3 - o**2 + 1. Let n(m) = -2*m**4 - m**3 - m**2 - 7. Let i(y) = -n(y) + r(y). Differentiate i(p) with respect to p.
8*p**3
Suppose 5*m = 4*m + 3. What is the third derivative of -w + w**m + w + 10*w**2 wrt w?
6
Let m(y) = 6*y**2 + y. Let a be m(-1). Suppose 5*c - 15 - a = 0. Differentiate 3 - c - 2 - 2*s with respect to s.
-2
What is the second derivative of -15*b**4 - 6*b**4 + 21*b + 18*b wrt b?
-252*b**2
Let k(s) = 16*s**3 - 15*s**2 - 2. Let c(r) = 48*r**3 - 45*r**2 - 7. Let f(n) = 2*c(n) - 7*k(n). What is the third derivative of f(j) wrt j?
-96
Let w = 1 - -7. Let q(m) = m**2 - 8*m + 5. Let f be q(w). Find the second derivative of x**2 - 2*x**2 - f*x**2 - 5*x + x**2 wrt x.
-10
Let h(c) = 3*c**2 + 4*c**4 + c**2 - 2*c**3 + 2*c**3 + 3. Let s(z) = -3*z**4 - 3*z**2 - 2. Let u(b) = 2*h(b) + 3*s(b). Find the third derivative of u(q) wrt q.
-24*q
What is the first derivative of 8 - 7*t - 10 - 2 - 6 wrt t?
-7
Let n be (3 - 5)/(1*-1). What is the second derivative of -f**n + 3*f**3 + 6*f - 8*f**2 + 9*f**2 wrt f?
18*f
Let s be 3 + -3 - 2*-1. Let c be -6*(0 + -2)/s. What is the third derivative of -3*b**2 + b**5 - 3*b**6 - b**5 + 0*b**c wrt b?
-360*b**3
Let j(h) = 9*h - 1. Let p be j(1). Find the first derivative of 3*t + p - 6 - t wrt t.
2
Let i(u) be the third derivative of u**9/30240 - u**6/360 - u**5/30 - u**2. Let g(b) be the third derivative of i(b). Find the first derivative of g(v) wrt v.
6*v**2
Let r be 9/7 + 10/(-35). Suppose k = 1 + r. Find the third derivative of -k*z**3 + z**2 + 0 + 0 wrt z.
-12
Let q(a) = 2*a - 5. Let w be q(6). What is the second derivative of -w*m + 4*m - m**2 - m**2 + 3*m**2 wrt m?
2
Find the third derivative of 11*h**6 + 5*h**2 - 7*h**3 + 7*h**3 + 0*h**2 wrt h.
1320*h**3
Let y be (4/8)/((-3)/(-6)). Suppose -3*l + 4 = 2*q, -q + 3 = 3*l - 2. Differentiate 0*i**2 + y - 3 + 3 + i**l wrt i.
2*i
Let s(o) be the first derivative of -3/5*o**5 + 0*o**4 + 0*o + 1/3*o**3 + 3 + 0*o**2. Find the third derivative of s(w) wrt w.
-72*w
Let p(i) = 23*i**3 + 3*i - 29. Let a(f) = -1586*f**3 - 208*f + 2002. Let s(w) = -3*a(w) - 208*p(w). Differentiate s(l) with respect to l.
-78*l**2
Let v(a) = -5*a**2 + 11*a + 11. Let l(k) = 30*k**2 - 65*k - 65. Let y(n) = 6*l(n) + 35*v(n). What is the second derivative of y(s) wrt s?
10
Let p(v) = v**3 - 3. Let b(i) = i + 2. Suppose -4*r = -5*y + 8 + 6, 0 = -4*y - 3*r + 5. Let d(x) = y*p(x) + 3*b(x). Find the second derivative of d(a) wrt a.
12*a
Let t(h) be the first derivative of 22*h**5/5 + 13*h**2/2 + 32. What is the second derivative of t(y) wrt y?
264*y**2
Let t(x) be the first derivative of -13*x**5/5 + 11*x**3/3 - 4. Find the third derivative of t(k) wrt k.
-312*k
What is the first derivative of 12 + 0*o + 4*o - 14*o wrt o?
-10
Find the third derivative of -3*z**2 - 5*z**4 - z**6 + 5*z**4 wrt z.
-120*z**3
Suppose -2 = -3*x + 1. Suppose -3 + x = -o. Find the second derivative of -o*s**2 + 3 - 3 - 3*s wrt s.
-4
Let m = 0 - 8. Let b = 8 + m. What is the second derivative of -2*o + 6*o + 4*o**2 + b*o wrt o?
8
Let f(j) = -j**2 + j - 4. Let g be f(3). Let n be (g/(-5))/(1/2). What is the second derivative of 2*i - n*i**5 - 2*i**5 + 5*i**5 wrt i?
-20*i**3
What is the third derivative of -3*u - 7*u**2 + 3*u + u**5 - 10*u**5 wrt u?
-540*u**2
Let r(w) be the first derivative of -10*w**7/7 - 2*w**3 - 20. What is the third derivative of r(t) wrt t?
-1200*t**3
Let k(a) = -4*a**3 - a**2 + a + 1. Let b be k(-1). Differentiate -7 + 3 - b - 4*m wrt m.
-4
Let a(o) = 9*o**4 - 3*o**3 - 6*o**2 - 3. Let b(g) = -g**4 + g**3 + g**2 + 1. Let u(t) = -a(t) - 3*b(t). Find the third derivative of u(h) wrt h.
-144*h
What is the second derivative of -8*x**2 + 55*x**2 - x - 7*x**2 - 2 + 5*x wrt x?
80
Let u(z) = 4*z**3 - 2*z**2 - 4. Let b(p) = -p**3 + p**2 + 1. Let k(s) = 12*b(s) + 6*u(s). Differentiate k(g) wrt g.
36*g**2
Suppose -5*l + 1 = -3*s - 18, 2*s - 24 = -4*l. Find the second derivative of 1 - 3*p - 1 - 4*p**l wrt p.
-80*p**3
Suppose -q + 1 = -2. What is the third derivative of 0*h**2 - 2*h**3 - 7*h**2 + q*h**2 + h**3 wrt h?
-6
Let o(t) be the first derivative of t**6/30 + t**4/6 - 4*t - 3. Let f(q) be the first derivative of o(q). What is the third derivative of f(h) wrt h?
24*h
Find the first derivative of 2 - 5 + 17*g + 1 wrt g.
17
Let p(h) = 3 + h + 1 - 2*h + 5. Let n be p(5). Find the first derivative of u**3 + 3 + 2*u**3 - n wrt u.
9*u**2
Suppose -9*v = -5*v. Let o(q) be the first derivative of 1 - 1/2*q**2 + 0*q**3 + 0*q + v*q**4 + 0*q**5 + 1/6*q**6. Find the second derivative of o(g) wrt g.
20*g**3
Suppose r + 9 = 3*q, -7*r = -2*r - 15. Suppose j + 2 - 6 = -q*z, -12 = 3*j. Find the third derivative of 5*l**4 + 3*l**z + l**3 - l**3 - 2*l**4 wrt l.
72*l
Suppose 3*s - 3*q - 5 = -q, -q = 2*s - 15. Find the third derivative of 4*t**4 - s*t**2 + 0*t**4 + 3*t**2 wrt t.
96*t
Let l(m) = -m**2 - 5*m + 8. Let t be l(-6). Let y = 6 - t. What is the derivative of -2*i**4 - 3 + y*i**3 + 0*i**3 - 4*i**3 wrt i?
-8*i**3
Let h(i) = 13*i**3 - 5*i**2 - 15. Let b(d) = -12*d**3 + 4*d**2 + 14. Let t(g) = -5*b(g) - 4*h(g). What is the derivative of t(a) wrt a?
24*a**2
Let d(j) = j + 1. Let s(o) = -2*o**2 - 4*o - 5. Suppose -3*w = w + 16. Let u(z) = w*d(z) - s(z). Differentiate u(m) wrt m.
4*m
Let g = -3 - -5. What is the second derivative of -2*n**5 + 6*n**5 - 3*n**5 + g*n - 2*n**5 wrt n?
-20*n**3
Differentiate 1 - 5 - 252*n + 269*n + 1 with respect to n.
17
Find the third derivative of 3630*f**2 + 14*f**3 - 3627*f**2 - 16 - 6*f**3 wrt f.
48
What is the second derivative of -3*t**4 - 9*t**4 + 9*t + t**4 + 6*t**4 wrt t?
-60*t**2
Let z(a) = -a. Let j(w) = w + 8. Let c(x) = j(x) + 2*z(x). Let v be c(8). What is the second derivative of v*n + 3*n**2 + n + 0*n**2 wrt n?
6
Let i(u) = 51*u**3 - 2*u**2 - 2*u - 59. Let q(m) = -102*m**3 + 5*m**2 + 5*m + 119. Let c(j) = 5*i(j) + 2*q(j). What is the first derivative of c(k) wrt k?
153*k**2
Let q(c) be the second derivative of 0*c**2 - 5/56*c**8 - 3*c - 1/12*c**4 + 0*c**5 + 0*c**3 + 0*c**6 + 0*c**7 + 0. Find the third derivative of q(y) wrt y.
-600*y**3
Let u(n) be the second derivative of 37*n**7/42 - 2*n**3 + 44*n. Find the second derivative of u(l) wrt l.
740*l**3
Let z be 23/4 - 2/(-8). What is the second derivative of -3*a + z*a**2 - 4*a - 7*a**2 wrt a?
-2
Let u(t) be the second derivative of 0*t**3 - 2*t + 1/6*t**4 + 0 - t**2. Differentiate u(h) wrt h.
4*h
Suppose -6*s + 2*s + 16 = 0. What is the first derivative of v**2 - 5 + 3*v**2 - 5*v**2 + s*v**2 wrt v?
6*v
Let x(r) = r**3 - 8*r**2 + 8*r - 3. Let o be x(7). Let u be (-2)/(-6)*12/2. What is the second derivative of -u*j + 0*j**4 + j**4 - 6*j**o wrt j?
-60*j**2
Suppose -2*l = -8 + 4. What is the third derivative of 12*d**5 + d**2 - 8*d**5 + d**5 + 6*d**l wrt d?
300*d**2
Let d(z) be the first derivative of -3/5*z**5 + 0*z + 0*z**2 + 4/3*z**3 + 1 + 0*z**4. Find the third derivative of d(n) wrt n.
-72*n
Let b(v) be the first derivative of 0*v**2 - 2/3*v**3 + 0*v**4 + 0*v + 1/2*v**6 + 1 + 0*v**5. Find the third derivative of b(t) wrt t.
180*t**2
Let s(w) be the second derivative of 13*w**7/42 + 5*