d**2. What is the third derivative of z(f) wrt f?
-72*f
Let f(w) be the third derivative of w**8/336 + w**6/15 + w**5/20 - 56*w**2. Find the third derivative of f(g) wrt g.
60*g**2 + 48
Let l be (1 + -1)*4/8. Suppose l + 12 = 4*b. What is the derivative of -2 - b - i**2 + 3 wrt i?
-2*i
Let r = 0 + 2. What is the second derivative of 8*j**3 + 10*j**2 + r*j - 10*j**2 wrt j?
48*j
Suppose 4*p + 0*p - 16 = 0. Suppose -3*z - 3 = h, -17 = -2*h + 3*z + p. What is the second derivative of 7*c - c**2 - h*c + c**3 + c**2 wrt c?
6*c
What is the derivative of 11 - 8*g**3 + 4 - 5 - g**3 wrt g?
-27*g**2
Let f = -17 - -8. Let y(r) = -2*r**2 - 9*r + 12. Let w(c) = -c**2 - 4*c + 6. Let x(a) = f*w(a) + 4*y(a). What is the first derivative of x(k) wrt k?
2*k
Suppose w = -i + 24 + 34, -2*i + 224 = 4*w. Let d be (1/3)/(6/w). Find the third derivative of 0*j**d + 10*j - 10*j + j**3 - j**2 wrt j.
6
Let z(t) be the third derivative of 3*t**6/40 - t**5/20 + 5*t**4/8 - 55*t**2. Find the second derivative of z(b) wrt b.
54*b - 6
Suppose 0 = 2*h + 4*i - 10, -3*h + 1 + 4 = -4*i. What is the derivative of -8*l**3 + 8*l**3 - h - 4*l**4 wrt l?
-16*l**3
Let u(p) be the second derivative of 31*p**7/42 - 23*p**4/12 - 5*p. What is the third derivative of u(d) wrt d?
1860*d**2
Find the third derivative of -6*u**4 - u**4 + 6*u**2 - 11*u**4 + 3*u**4 wrt u.
-360*u
Suppose x = 4*x. What is the second derivative of 0*d**2 + 0*d**2 + 5*d + 4*d**4 + x*d**2 wrt d?
48*d**2
Suppose 0 = 4*d - 4 - 12, p + 3*d = 16. Suppose -5 = p*z - 17. What is the second derivative of 2*o**4 + 0*o**4 + z*o + 2*o**2 - 2*o**2 wrt o?
24*o**2
Let h(d) = -6*d**2 - 3*d + 6. Let n(m) = -13*m**2 - 7*m + 13. Let w(c) = 14*h(c) - 6*n(c). What is the derivative of w(i) wrt i?
-12*i
What is the first derivative of -155*n**3 + 37 + 181*n**3 - 16 wrt n?
78*n**2
Let z(q) = -17*q - 2. Let t(p) = 8*p + 1. Suppose 8 + 2 = 2*d, 4*w - 3*d = -7. Let u(a) = w*z(a) + 5*t(a). Find the first derivative of u(y) wrt y.
6
Let k(m) = m**2 - 7*m - 3. Let s be k(8). What is the second derivative of 2*g - 2*g**s - 2*g**5 + 2*g**5 wrt g?
-40*g**3
Let b be (-2)/(-2) + 6 + -7. Differentiate 6 + b*c - c - c - 3*c wrt c.
-5
Let s(t) = 2*t + 4. Let x(r) = 3*r + 8. Let y(m) = 5*s(m) - 3*x(m). Let c be y(7). What is the third derivative of -b + 4*b**c + 2*b**2 + 0*b**3 + b wrt b?
24
Let c(k) be the third derivative of k**8/42 + k**4/12 - 40*k**2. What is the second derivative of c(a) wrt a?
160*a**3
What is the third derivative of -316*m**2 + m**4 - m**4 + 311*m**2 + 6*m**6 wrt m?
720*m**3
Find the third derivative of 18*p**6 + 7*p**2 - 17*p**6 + 1 + 5*p**4 + 2 wrt p.
120*p**3 + 120*p
Let r(c) be the first derivative of -c**4 + 4*c**3/3 + 6. Find the third derivative of r(i) wrt i.
-24
What is the third derivative of -17*m**2 - 12*m**2 + m**5 + 5*m**5 + 5*m**5 wrt m?
660*m**2
Let h(n) be the second derivative of 1/3*n**4 + 0*n**5 - 1/15*n**6 + 0 + 3*n + 0*n**2 + 0*n**3. What is the third derivative of h(v) wrt v?
-48*v
What is the second derivative of -5*i**3 + i**3 - 4*i**3 + 5*i**3 - 5*i wrt i?
-18*i
Let j(l) be the third derivative of -l**7/14 + l**6/60 + 13*l**3/6 + 5*l**2 + 1. Differentiate j(o) with respect to o.
-60*o**3 + 6*o**2
Let l(g) be the third derivative of g**8/112 + 3*g**5/10 - 14*g**2. Find the third derivative of l(v) wrt v.
180*v**2
Let f(b) = 4*b**2 + 4*b + 3. Let p(k) = 7*k**2 + 8*k + 5. Let y(q) = -5*f(q) + 3*p(q). Find the second derivative of y(u) wrt u.
2
Let o(w) be the second derivative of 0*w**5 + 0*w**4 + 0*w**2 - 3*w + 0 + 1/30*w**6 + 2/3*w**3. What is the second derivative of o(x) wrt x?
12*x**2
Suppose 109 = 5*f - 4*h, -f + 7 = 5*h - 9. Let p be 48/f + (-2)/7. Find the second derivative of 7*w**3 + 3*w**4 - p*w - 7*w**3 wrt w.
36*w**2
What is the second derivative of 109 - 34*x**2 + 11*x - 111 + x wrt x?
-68
Suppose 0 = -j + 2*r - 2, 0*r = -2*r + 2. Find the second derivative of -6*n - 2*n**5 - 3*n**5 + j*n**5 wrt n.
-100*n**3
Let m(g) be the second derivative of 0*g**2 + 0*g**5 + 1/10*g**6 + 0 + 4*g + 1/2*g**3 + 0*g**4. What is the second derivative of m(v) wrt v?
36*v**2
Find the third derivative of 0*p**2 + 0*p**2 - 3*p**4 + 3*p**2 + 0*p**4 wrt p.
-72*p
Let h(u) = 2*u**3 - u**2. Let o(b) = b**3 + b**2 - b. Let j = -4 + 3. Let n = 2 + j. Let l(w) = n*o(w) + h(w). Find the second derivative of l(r) wrt r.
18*r
Let a(v) be the second derivative of -v**4/6 + v**3/2 - 4*v. Find the second derivative of a(j) wrt j.
-4
Let i(s) be the first derivative of s**8/420 - s**6/120 + s**3 + 7. Let l(g) be the third derivative of i(g). What is the third derivative of l(n) wrt n?
96*n
Let f(b) = -b**2 + 3*b - 4. Suppose 2*w + 5 = -7. Let i(t) = -t + 1. Let l(d) = w*i(d) - 2*f(d). Find the first derivative of l(x) wrt x.
4*x
Let b(q) be the second derivative of 11*q**5/20 - q**4/4 - 61*q**2/2 - 6*q + 2. Differentiate b(t) with respect to t.
33*t**2 - 6*t
Let y be (-3)/2*12/(-9). Suppose y*l = 7*l - 15. What is the second derivative of -3*q - 11*q**3 - 2*q**5 + 11*q**l wrt q?
-40*q**3
Let j(b) = 4*b. Suppose 3*f = -0*f + 3. Let g be j(f). Find the third derivative of 6*r**3 + 0*r**2 - r**3 + g*r**2 - 2*r**3 wrt r.
18
Suppose -5*g = -4*w + 42, 19 - 7 = 2*w + 2*g. Let t be (w/(-6))/(10/(-15)). What is the third derivative of z - z + z**4 - z**t - 2*z**2 wrt z?
24*z
Let u = 9 + -3. Let m be (-9)/u*(-4)/3. What is the second derivative of -2*w - m*w**5 + 4*w**5 + 0*w wrt w?
40*w**3
Find the second derivative of -874 + 874 + 26*o**2 + 20*o wrt o.
52
Suppose 3*r + 1 = 7. Find the second derivative of 4*g**5 - r*g - 10*g**3 - 2*g**5 + 10*g**3 wrt g.
40*g**3
Let g(o) = 28*o**3 - 17*o**2 - 61*o - 17. Let c(d) = 9*d**3 - 6*d**2 - 20*d - 6. Let m(s) = 17*c(s) - 6*g(s). What is the second derivative of m(y) wrt y?
-90*y
What is the third derivative of -m**3 + 0*m**2 + 8*m**3 - 2*m**2 + m**2 wrt m?
42
Let o = -3 + 3. What is the second derivative of -3*x**2 + 2*x**2 + o*x**2 - 2*x + 0*x wrt x?
-2
Suppose 5*p - 5 = 35. Suppose p = 2*l + 2*l. What is the derivative of -t + 3 + 0 - l wrt t?
-1
Let n(t) be the second derivative of -t**7/21 + t**4/6 - 7*t. What is the third derivative of n(a) wrt a?
-120*a**2
Let t(d) be the third derivative of -d**8/560 - 7*d**4/24 + 5*d**3/6 + 4*d**2. Let j(v) be the first derivative of t(v). What is the derivative of j(q) wrt q?
-12*q**3
Let h(j) be the first derivative of 3*j**7/7 - 10*j**3/3 - 3. Find the third derivative of h(k) wrt k.
360*k**3
Let p(d) be the second derivative of d**8/336 - d**5/10 - d**2/2 + 3*d. Let o(q) be the first derivative of p(q). Find the third derivative of o(x) wrt x.
60*x**2
Let t(d) = -2*d**2 - 2*d + 4. Let x = -6 + 2. Let z(w) = -1 + 2 + 0. Let v(h) = x*z(h) + t(h). Find the second derivative of v(i) wrt i.
-4
Let v(z) = -29*z**2 + 18*z + 6. Let y(f) = f + 1. Let c(h) = -v(h) + 6*y(h). Find the second derivative of c(u) wrt u.
58
Let o(y) be the first derivative of -6*y - 2/3*y**3 + 5 + 0*y**2. What is the first derivative of o(z) wrt z?
-4*z
Let f = 8 + -6. Find the second derivative of -2*a + 5*a**5 + 3*a + f*a**5 wrt a.
140*a**3
Let m(g) = 2*g**3 - g**2. Let w be m(1). Let t(c) = -c + 1. Let s(r) = 8*r - 8. Let j(z) = w*s(z) + 6*t(z). What is the first derivative of j(d) wrt d?
2
What is the derivative of 11 + 9*o - 6 - 2*o wrt o?
7
Let s = 0 - -3. What is the third derivative of 0*p**5 + 2*p**2 + p**5 + 0*p**2 - s*p**5 wrt p?
-120*p**2
Let v = -2/29 - -37/116. Let c(a) be the first derivative of -4 + 0*a + 0*a**3 - 1/2*a**2 + v*a**4. Find the second derivative of c(y) wrt y.
6*y
Let c(j) = 3*j**2 - 3*j. Let p be c(2). Let d = 5 - 2. What is the third derivative of 2*w**2 + 2*w**6 - 4*w**2 - d*w**p wrt w?
-120*w**3
Suppose 5*l - 2*l - 8 = -2*b, -l = -b + 4. Find the third derivative of 6*d**b - 4*d**4 + 3*d**2 - d**6 - 2*d**4 wrt d.
-120*d**3
Let t(c) be the second derivative of c**6/10 - 7*c**2/2 + 7*c. Differentiate t(y) with respect to y.
12*y**3
Let b be (-2)/((-3)/15*2). Suppose -3*u + b = -7. Find the second derivative of -u*w + 3*w + 3*w - w**3 wrt w.
-6*w
Differentiate 8*g - 7 + 4 - 3 with respect to g.
8
Suppose 2*m - 5 - 3 = 0. Let q be 14/8 + 1/m. What is the second derivative of 3*u + q*u**4 - 3*u**4 + 0*u**4 wrt u?
-12*u**2
Let r = 2 - 4. Let n be (2 + r -