x**3. Find the second derivative of b(p) wrt p.
24*p**2
Let z(f) = -7*f**3 + 5*f**2 - 5*f - 5. Let s(j) = -6*j**3 + 4*j**2 - 4*j - 5. Let b(v) = 5*s(v) - 4*z(v). What is the first derivative of b(m) wrt m?
-6*m**2
Let g(o) = -o**2 - 7*o + 8. Let i be g(-8). What is the third derivative of 3*t**2 + i*t**3 + 7*t**3 - 6*t**3 wrt t?
6
Suppose w + 30 = -w. Let l be w/6*4/(-2). What is the second derivative of -3*a**3 + a - 4*a**2 - a**2 + l*a**2 wrt a?
-18*a
What is the second derivative of 6*u - 15 - 5*u**3 - 17 + 32 wrt u?
-30*u
Let w(i) be the first derivative of 6*i**5/5 - 7*i - 4. Differentiate w(h) wrt h.
24*h**3
Let t(x) be the third derivative of 11*x**6/120 + 17*x**5/60 - x**3/3 - 2*x**2 - 17. Find the third derivative of t(q) wrt q.
66
Let x(o) = -o**2 - o + 1. Let w(p) = 7*p**3 - 4*p**2 - 4*p - 6. Let j(k) = -w(k) + 4*x(k). What is the derivative of j(q) wrt q?
-21*q**2
Suppose -4*n + 2*n + 10 = 0. Let j be -1 + (1 - 0) + n. Differentiate -j*a**2 + 4*a**2 + 0*a**2 - 1 wrt a.
-2*a
Suppose -4*n = -j - 41, -5*n + 2*j + 4 + 45 = 0. Let m = -8 + n. Find the second derivative of -3*y - 3*y**m + 5 - 5 wrt y.
-18*y
Find the third derivative of -16*u**2 + 90 - 90 - 20*u**5 wrt u.
-1200*u**2
Find the third derivative of 42*c**5 - 11*c**5 - 20*c**2 - 15*c**5 wrt c.
960*c**2
Let j(r) = 21*r**2 - 3*r + 13. Let h(v) = 41*v**2 - 5*v + 26. Let p(g) = -3*h(g) + 5*j(g). Differentiate p(y) with respect to y.
-36*y
Let z(i) = -7*i**3 + 1. Let u be z(-1). Let q = u - 5. Differentiate -3*l + q*l - 3 - 3*l**3 with respect to l.
-9*l**2
Let s(t) = -t**2 - t + 2*t - 4*t. Let a be s(-2). What is the derivative of 4*g**a - 3*g**2 + g**2 - 2 wrt g?
4*g
Suppose 4*y - 7*y + 6 = 0, -4*y + 20 = 2*x. Let s be (-3)/(-2) + (-9)/(-18). Find the third derivative of 4*q**6 - s*q**2 - 3*q**x + q**2 wrt q.
120*q**3
Suppose -29 = -5*s - 2*t, 0*t - 6 = -3*s - 5*t. Find the third derivative of s*b**4 - 11*b**4 - b**2 + 8*b**2 wrt b.
-96*b
Let r(l) be the first derivative of l**5/5 + 4*l**3/3 - 12. What is the third derivative of r(u) wrt u?
24*u
What is the third derivative of 462*s**5 + s**6 - 462*s**5 - 10*s**2 wrt s?
120*s**3
Differentiate 20 + 22*z**2 + 30 - 56 with respect to z.
44*z
Find the second derivative of -4*w**3 + 5*w + 0*w - w + 3*w wrt w.
-24*w
Differentiate -4*q + 6*q + 9*q + 2*q + 2 with respect to q.
13
Let o(u) = -5*u**2 - 2*u + 7. Let s(a) = 16*a**2 + 7*a - 22. Let q(t) = 7*o(t) + 2*s(t). Differentiate q(l) wrt l.
-6*l
Let a(q) = q**2 + 4*q + 3. Let m be a(-8). Suppose 0 = -5*s - 4*i + m, 5*s = -i - 4*i + 40. What is the derivative of -5*o**3 - 2 + 0*o**s + 3*o**3 wrt o?
-6*o**2
Let m be 0/(1 - (5 - 2)). Let k(a) be the third derivative of a**2 + 0*a**4 + 1/60*a**5 + m*a - 1/6*a**3 + 0. What is the first derivative of k(c) wrt c?
2*c
Let h(t) = -3*t + 3. Let z(j) = j. Let l(s) = -h(s) + 2*z(s). Differentiate l(c) wrt c.
5
Let n(t) be the first derivative of -28*t**3/3 - 2*t**2 + 8. What is the second derivative of n(s) wrt s?
-56
Let x(o) be the first derivative of -7*o**6/3 + 29*o**3/3 - 10. Find the third derivative of x(j) wrt j.
-840*j**2
Let m = -13 + 14. Find the first derivative of -3*s + 3*s + m + s wrt s.
1
Let z(j) be the first derivative of j**6/60 - j**5/12 + 3*j**2 + 6. Let v(k) be the second derivative of z(k). What is the third derivative of v(r) wrt r?
12
Let o(i) be the second derivative of i**3/6 - i**2/2 - 3*i. Let x(l) = 3*l**3 + 5*l - 3. Let p(v) = -5*o(v) + x(v). Differentiate p(a) with respect to a.
9*a**2
Let r(y) = -2*y**3 - 2*y**2 + 2*y. Suppose -1 = -5*k - 11. Let v be r(k). Find the first derivative of -2*p**v - 1 - 1 + 4 wrt p.
-8*p**3
Let p(q) = 20*q**4 + q**3 + q**2 + 2*q + 5. Let v(a) = a**4 - a**3 - a**2 - a - 1. Let y(f) = 2*p(f) + 2*v(f). What is the second derivative of y(d) wrt d?
504*d**2
Let a(w) = w + 2. Suppose -z = -2*o - 10, -14 - 1 = 3*o. Let v be a(z). Find the third derivative of -43*u**5 + 5*u**6 + 43*u**5 - v*u**2 wrt u.
600*u**3
Let a(l) = 13*l**4 + 6*l**3 + 8*l - 6. Let r(f) = -14*f**4 - 7*f**3 - 8*f + 7. Let v(d) = 7*a(d) + 6*r(d). What is the second derivative of v(k) wrt k?
84*k**2
Find the third derivative of -4*o**4 + 10*o**4 - 155*o**2 + 120*o**2 + 19*o**4 wrt o.
600*o
Let b(w) = -w**2 - w + 1. Let u(c) = 3*c**2 + 4*c + 6. Let i(n) = -4*b(n) - u(n). Differentiate i(y) wrt y.
2*y
Let o(y) be the third derivative of 23*y**6/120 - 23*y**5/60 - 16*y**2. Find the third derivative of o(c) wrt c.
138
Let q(m) be the first derivative of -3*m**5 + 5*m**2 - 7. What is the second derivative of q(v) wrt v?
-180*v**2
Suppose 0 = -2*m + 2*p + 5 + 1, 0 = -2*m - 5*p + 13. What is the second derivative of 0*q + q**4 + 5*q + 0*q - 8*q**m wrt q?
-84*q**2
Find the third derivative of 25*z**2 + 86 - 86 + 5*z**5 wrt z.
300*z**2
Suppose 1 = a - 4. Find the second derivative of -2*s**5 + s**a + 0*s**5 - 4*s wrt s.
-20*s**3
Let x = -1 + 3. What is the third derivative of w**4 + w**x + w**4 + 2*w**3 - 2*w**3 wrt w?
48*w
Let x = 2 - 2. Suppose l + 0*m - 4*m + 9 = x, 3*l - 5*m = -6. What is the derivative of 4*z**3 + 2 - 2*z**l + 0*z**3 wrt z?
6*z**2
Let c(s) = -s**2 - 3*s + 2. Let a be c(-3). Find the third derivative of 2*z**a - 4*z**2 + 4*z**4 - z**4 wrt z.
72*z
Let o(y) be the second derivative of 0*y**5 + 0*y**3 + 2*y + 0 - 1/4*y**4 + 0*y**6 + 2/21*y**7 + 0*y**2. Find the third derivative of o(j) wrt j.
240*j**2
Let x(u) be the second derivative of u**6/360 - u**4/12 - u**3/3 + 2*u. Let d(s) be the second derivative of x(s). Differentiate d(o) with respect to o.
2*o
Let a(x) be the second derivative of -x**8/1680 - x**4/6 - x**3 - 6*x. Let d(t) be the second derivative of a(t). What is the derivative of d(m) wrt m?
-4*m**3
Suppose 0*i + 2*i = 4. Let h = i - -1. Find the second derivative of 3*b**3 + 4*b**3 - 3*b - 6*b**h wrt b.
6*b
Let j(w) = -4*w**5 - 5*w**4 + 14*w**3 + 82*w. Let t(y) = -y**5 - y**4 + y. Let c(q) = j(q) - 5*t(q). What is the second derivative of c(o) wrt o?
20*o**3 + 84*o
Let n(p) = 2*p + 7. Let h(u) = -u - 7. Let r(f) = -2*h(f) - 3*n(f). Differentiate r(v) wrt v.
-4
Let q(x) be the second derivative of -x**5/20 - x**4/4 + 2*x**3/3 - 2*x. Let u(o) be the second derivative of q(o). Find the first derivative of u(r) wrt r.
-6
Let d(u) be the third derivative of u**6/120 - u**5/20 - 49*u**3/6 + 34*u**2. Differentiate d(i) wrt i.
3*i**2 - 6*i
What is the third derivative of 5*r**2 + 28*r**4 - 17*r**4 + 15*r**4 + 14*r**4 wrt r?
960*r
Let h(u) = -3*u + 2. Let a be h(2). Let i(b) = 2*b - 7. Let f(t) = 3*t - 7. Let j(q) = a*i(q) + 3*f(q). What is the first derivative of j(y) wrt y?
1
What is the second derivative of -37*m + 39*m**5 - 4050*m**4 + 4050*m**4 wrt m?
780*m**3
What is the first derivative of -9 + 24*l**4 - 4 - l**4 - 1 wrt l?
92*l**3
Suppose 5*k = 5, -5*x - 6*k + 19 = -2*k. Suppose 2*f - 12 = x*g, -2*g + 7*g + 22 = 4*f. What is the first derivative of f*p - 4*p + 0 - p + 3 wrt p?
-2
Let t(n) be the first derivative of -n**8/280 + n**6/180 - n**3/3 + 3. Let i(k) be the third derivative of t(k). Find the third derivative of i(v) wrt v.
-144*v
Let t(j) = j**3 - 11*j**2 + 12*j + 11. Let x = -2 - -8. Let d(v) = -3*v**2 + 3*v + 3. Let l(q) = x*t(q) - 22*d(q). What is the second derivative of l(a) wrt a?
36*a
Find the third derivative of 10*u**2 + 8*u**6 + 0*u**2 - 16*u**6 wrt u.
-960*u**3
What is the second derivative of 5*x**3 - 4*x**3 + 3*x**3 + 8*x - 3*x**3 wrt x?
6*x
Suppose 23 = 4*i + 7. What is the derivative of -5*j**3 + 59*j**i + 5*j**3 + 10 - 57*j**4 wrt j?
8*j**3
Let m(p) = -p**3 + 14*p**2 - p + 18. Let y be m(14). Find the second derivative of -4 - 6*j + 1 + 3 - y*j**4 wrt j.
-48*j**2
Let b(r) = -r**3 + r - 1. Let l(a) = 10*a**3 + 29*a**2 - 6*a + 6. Let u(w) = 6*b(w) + l(w). Find the third derivative of u(i) wrt i.
24
Let g(a) be the second derivative of -17*a**5/10 + 31*a**4/12 - a. What is the third derivative of g(z) wrt z?
-204
Find the third derivative of -8*d**5 - 6*d**2 + 0*d**4 + 3*d**5 + 0*d**4 wrt d.
-300*d**2
Let d(p) = -p**3 + 8*p**2 - 5*p - 10. Let i be d(7). Differentiate -m + i*m**2 + m + 3 wrt m.
8*m
Suppose -4*r + 5*n + 24 = n, 5*n = -r - 12. Find the third derivative of 0*g**5 + 3*g**5 - 9*g**5 + r*g**2 wrt g.
-360*g**2
Let n(w) = -w**2 - 3*w + 2. Let i be n(-3). What is the der