0*c**5 + k - c + 0*c**4 + 0*c**2. Find the second derivative of a(j) wrt j.
-12*j
Let p(q) = 16*q - 1. Let b(z) be the second derivative of -11*z**3/6 + z**2/2 - 2*z. Let w(d) = -7*b(d) - 5*p(d). What is the derivative of w(x) wrt x?
-3
Let j = 6 - 3. Find the first derivative of j + b**4 - b**4 - 5*b**4 - 7 wrt b.
-20*b**3
Differentiate 7*o**4 - 31 + 2*o**3 - 2*o**3 - 35*o**4 wrt o.
-112*o**3
Let p(f) be the second derivative of -f**6/3 - f**4 - 8*f. What is the third derivative of p(q) wrt q?
-240*q
Let g(t) = -47*t**2 - 29*t. Let k(j) = -31*j**2 - 19*j. Let p(w) = 5*g(w) - 8*k(w). What is the second derivative of p(q) wrt q?
26
Let j(x) = -x**3 - 2*x**2 + 14*x + 2. Let h(w) = 5*w**3 + 9*w**2 - 57*w - 9. Let o(y) = 2*h(y) + 9*j(y). Find the second derivative of o(r) wrt r.
6*r
What is the first derivative of -13*o**4 - 6 + 10*o**4 - 2 wrt o?
-12*o**3
Suppose 2*w - 23 = -w + 2*u, 0 = 5*w + 3*u - 51. Let i = w - 7. Differentiate 8 - 3*z**3 + 9*z**i - 9*z**2 - 5 wrt z.
-9*z**2
Suppose -4*a = -9 - 11. Let p(b) be the second derivative of 0*b**2 + 1/6*b**3 - 1/10*b**a + 0*b**4 + 0 + b. What is the second derivative of p(y) wrt y?
-12*y
Find the second derivative of 3*b - 39*b**3 - 2*b + 60*b**3 wrt b.
126*b
Let s be (1*(5 - 2))/1. Let b = 15 + -12. What is the second derivative of 0*i**3 + i - b*i**3 + 2*i**s wrt i?
-6*i
What is the second derivative of -21*l**3 + 0*l**2 - 15*l + 11*l**3 + 0*l**2 wrt l?
-60*l
Let u be 5 + 4/(16/(-12)). Let z(v) be the second derivative of 1/2*v**2 + 1/6*v**3 + 0 + u*v. What is the derivative of z(k) wrt k?
1
Let o(a) = -a**4 - a**3. Let j(u) = 13*u**5 - 2*u**4 - 2*u**3 - 40*u. Let p(t) = j(t) - 2*o(t). What is the second derivative of p(r) wrt r?
260*r**3
Let z(i) = -i**3 - 7*i**2 - 6*i + 2. Let l be z(-6). What is the third derivative of r**l - 3*r**3 + 0*r**3 - 5*r**2 wrt r?
-18
Suppose -w + 15 = 4*w. Suppose -w*s + 4*m + 4 = 0, m - 2*m - 2 = -s. Differentiate 1 + 0*u**3 - s*u**3 + 5*u**3 wrt u.
3*u**2
Find the second derivative of 0*s**5 - 9*s + 12*s**5 + 22*s wrt s.
240*s**3
Suppose v = -4*v + 120. Suppose 5*h - 8 = 3*u, 4*u + 2*h = -0*h + v. What is the second derivative of 0*t**u + 5*t**4 + t - 3*t**4 wrt t?
24*t**2
Let v(g) be the second derivative of g**6/72 - 7*g**4/24 + 4*g**3/3 - 6*g. Let y(s) be the second derivative of v(s). What is the derivative of y(j) wrt j?
10*j
Let b(z) be the first derivative of -z**4/6 + z**3/3 + 2*z + 3. Let r(w) be the first derivative of b(w). What is the second derivative of r(f) wrt f?
-4
Let m(n) be the first derivative of -5*n**4 - n**2 + 10*n + 40. Find the second derivative of m(i) wrt i.
-120*i
Let y(g) be the third derivative of g**4/24 - g**3/6 + 10*g**2. Differentiate y(w) wrt w.
1
Let j(v) be the first derivative of 1/4*v**4 + 4 + 0*v**3 - 4*v + 0*v**2. What is the first derivative of j(a) wrt a?
3*a**2
Let c(u) be the first derivative of -3/2*u**2 + 1/3*u**3 + 0*u - 1. Find the second derivative of c(t) wrt t.
2
Let n(y) = -y**3 - y. Let s(j) = -19*j**3 - 16*j. Let z(w) = -28*n(w) + 4*s(w). What is the second derivative of z(k) wrt k?
-288*k
Let t(v) be the third derivative of v**6/60 + 7*v**4/24 + 6*v**2. What is the second derivative of t(o) wrt o?
12*o
Find the second derivative of 28*i - 31*i**5 - 6*i**3 + 17*i**3 - 11*i**3 wrt i.
-620*i**3
Let o = 5 + -3. Suppose -8*k - 3*l = -3*k, -4*l = 2*k + 14. What is the first derivative of -k - 10*y**2 - 3*y**3 + 10*y**o wrt y?
-9*y**2
Let p(z) be the second derivative of -15*z**7/14 - z**4/4 - 15*z**2/2 + 2*z - 25. Find the third derivative of p(w) wrt w.
-2700*w**2
Find the third derivative of -s + 2*s**2 + s + 14*s**2 + 4*s**6 wrt s.
480*s**3
What is the second derivative of 1001*j**2 - 20*j**3 - 1001*j**2 + 22*j wrt j?
-120*j
Suppose -v + 3 + 0 = 0. Differentiate -1 + 4*c**3 + 4*c**3 - 3*c**v - 4*c**3 with respect to c.
3*c**2
Let i(u) = -u - 2*u - 5 - 3*u - 7*u. Let b(l) = 25*l + 10. Let f(n) = -6*b(n) - 11*i(n). Differentiate f(p) with respect to p.
-7
Let l be 8/6*(-1 - -4). Let u(g) be the second derivative of 0 + 0*g**3 - g + 1/10*g**5 - 1/2*g**2 + 0*g**l. Find the first derivative of u(b) wrt b.
6*b**2
Let a(w) be the second derivative of -w**7/42 + 7*w**6/30 - 71*w**4/12 + 14*w. What is the third derivative of a(q) wrt q?
-60*q**2 + 168*q
Let n(m) be the third derivative of 0*m**3 + 0*m + 1/12*m**5 + 5*m**2 - 1/210*m**7 + 0*m**6 + 0 + 0*m**4. What is the third derivative of n(v) wrt v?
-24*v
Let s(t) = 26*t**3 - 27*t - 7. Let f(o) = 13*o**3 - 14*o - 3. Let p(l) = 7*f(l) - 3*s(l). Find the second derivative of p(g) wrt g.
78*g
Find the first derivative of -31*p + 17*p + 14*p + 9*p**3 + 13 wrt p.
27*p**2
Let i(m) = -2*m**2 + 0 - m + m**2 + 1. Let x(u) = -2*u**4 + 6*u**2 + 6*u - 7. Let h = -1 - 0. Let a(f) = h*x(f) - 6*i(f). Differentiate a(k) wrt k.
8*k**3
Suppose a - 1 = -0. Suppose -3*l - 1 = -2*u, 2*u = -2*l + 7 - a. Find the third derivative of -3*o**2 - 5*o**2 - 3*o**3 + 2*o**u + 3*o**2 wrt o.
-18
Suppose -m = -5*m + 12. What is the third derivative of -3*n**6 + m*n**6 + 5*n**2 - 3*n**2 - 3*n**6 wrt n?
-360*n**3
Suppose 4*q - 12 = 8. Let p be (-2 + 0)*q/(-2). What is the second derivative of 3*n - 2*n - 2*n**5 + 0*n**p wrt n?
-40*n**3
Suppose 0 = c - 4. What is the third derivative of u**2 + 0*u**2 + 9*u**c - 5*u**2 wrt u?
216*u
Suppose 5*t + 0*t - 11 = -3*f, 20 = 2*t - 4*f. Find the first derivative of -i**4 + 3 - 3*i**4 + t wrt i.
-16*i**3
Let t(p) = 5 + 1 - 3 - p**2 + 2 - 4*p. Let s be t(-4). What is the second derivative of -3*c**5 - 3*c + 5*c**s - 3*c**5 wrt c?
-20*c**3
Find the third derivative of 11*z**2 + 30*z**2 - 78*z**2 + z**4 wrt z.
24*z
Let h(k) = -2*k - 2. Let r be h(-4). Find the second derivative of -6 + 0 + r + 4*l**2 + l wrt l.
8
Let z(m) be the third derivative of 7*m**5/60 - 7*m**3/6 - 3*m**2. Differentiate z(g) wrt g.
14*g
Differentiate 11 - 12 - 2*p + 11*p with respect to p.
9
Let l(u) be the first derivative of 19*u**7/7 + 19*u**3/3 + 16. Find the third derivative of l(k) wrt k.
2280*k**3
Find the third derivative of -27*v**3 + 6*v**5 + 27*v**3 + 3*v**2 + v**2 wrt v.
360*v**2
Let n = 3 - 1. Differentiate -1 - 2 + 5*g**2 - 7*g**n with respect to g.
-4*g
Let y(n) = 81*n**4 + 5*n**3 - 5*n**2 + 5*n - 55. Let l(o) = 121*o**4 + 7*o**3 - 7*o**2 + 7*o - 82. Let q(a) = -5*l(a) + 7*y(a). Differentiate q(x) wrt x.
-152*x**3
Suppose -3*o = 2*o - 5. Let g(l) = 2*l**4 - 3*l**3 + l**2 + 3. Let n(h) = h**3 - 1. Let u(z) = o*g(z) + 3*n(z). What is the third derivative of u(d) wrt d?
48*d
Let g(c) be the second derivative of -c**4/12 + 5*c**3/6 - c. What is the second derivative of g(y) wrt y?
-2
Let f(i) be the second derivative of i**6/60 + i**4/8 + 3*i**2/2 - 4*i. Let r(h) be the first derivative of f(h). What is the second derivative of r(k) wrt k?
12*k
Let g(n) be the second derivative of 0*n**5 - 5/42*n**7 + 0*n**3 + 0 + 0*n**2 - 5/12*n**4 + 0*n**6 + 2*n. What is the third derivative of g(p) wrt p?
-300*p**2
Differentiate 21*b**3 - 6 - 5*b**4 - 21*b**3 with respect to b.
-20*b**3
What is the second derivative of o**4 - 53*o + 49*o + 7*o**4 wrt o?
96*o**2
Let k be 1/((15/(-18))/(-5)). Let c = k - 4. Differentiate -c - 2*h**4 + 2*h**4 + 2*h**4 - 1 wrt h.
8*h**3
Let m(c) = -47*c**2 - 52*c. Let x(l) = -16*l**2 - 17*l. Let p(s) = 6*m(s) - 17*x(s). What is the second derivative of p(v) wrt v?
-20
Find the third derivative of o**5 - 51*o**2 + o**6 + 9*o**5 + 9*o**2 wrt o.
120*o**3 + 600*o**2
Suppose 0 = 2*h + 3*h + 35. Let l(n) = -n**2 - 2*n. Let b(j) = 2*j**2 + 3*j. Let q(w) = h*l(w) - 4*b(w). What is the second derivative of q(c) wrt c?
-2
Suppose 3 = 3*i - 0*i. What is the second derivative of 0 - x + 3*x**2 + i - 1 wrt x?
6
Let w be (-2)/6 - (-39)/9. Let p = -10 + 14. Find the third derivative of -t**2 + w*t - p*t - t**4 wrt t.
-24*t
Let n(y) = -2*y**2 + 3. Let t(c) = -c**2 + 1. Suppose 2*r + 9 = -7. Let o(j) = r*t(j) + 3*n(j). Find the first derivative of o(m) wrt m.
4*m
Suppose -2 - 6 = -4*t. Find the second derivative of -3*l**3 + t*l - l - l - 3*l wrt l.
-18*l
Let v(z) = z**3 - 8*z**2 - 8*z - 2. Let c be v(9). Suppose -5*d + 3 = -c. Find the third derivative of -3*x**3 + 3*x**2 + x**3 - 2*x**d wrt x.
-12
Let f(k) = 18*k**3 - 4*k**2 - 4*k. Let n(w) = 19*w**3 - 5*w**2 - 5*w - 1. Let h(y)