8). Suppose 2*o = -b + 11, -4*b + 0*b = p*o - 24. Find the second derivative of -2*m**4 + 0*m**o + 3*m**4 - m wrt m.
12*m**2
Suppose -5*n = -4*n + 1. Let r = 1 - n. What is the third derivative of -a**2 + 2*a**4 + a**2 + r*a**2 wrt a?
48*a
What is the second derivative of -10*q + 8*q**5 - 3*q**5 + 17*q wrt q?
100*q**3
Let l(j) be the first derivative of -24*j**5/5 + 9*j - 37. Differentiate l(z) with respect to z.
-96*z**3
Let p(f) = -f**3 + 2*f - 1. Let g(x) = 18*x**3 + x + 12. Let v(k) = g(k) + p(k). Find the second derivative of v(z) wrt z.
102*z
What is the third derivative of 32*x**2 + 9*x**2 - 12*x**2 + 19*x**6 wrt x?
2280*x**3
Let h(f) be the second derivative of -7*f**5/20 - f**2 + 6*f. Differentiate h(m) wrt m.
-21*m**2
Let t(c) = c**3 + c**2 + c + 3. Let v be t(0). Let p be -6*(v/2 + -2). Differentiate -2*m + 4*m + m**4 - p - 2*m wrt m.
4*m**3
Let l = -22 + 22. Let c(h) be the second derivative of -h - h**2 + l*h**3 + 0*h**4 - 1/10*h**5 + 0. Differentiate c(g) with respect to g.
-6*g**2
Find the second derivative of 2*t + 1 + 4 - 5 - 5*t**5 wrt t.
-100*t**3
Let b(x) be the second derivative of -5*x**3/6 + x**2/2 + 2*x. Let l(t) = 5*t - 1. Let k(r) = 6*b(r) + 5*l(r). Differentiate k(c) wrt c.
-5
Let r(v) be the third derivative of v**7/210 - v**5/12 - 6*v**2. Find the third derivative of r(d) wrt d.
24*d
Let t(x) = 7*x**3 + 4*x**2 + 4*x + 1. Let n(u) = 5*u**2 + 9*u - 4*u + 0*u**2 + 8*u**3 + 1. Let h(b) = 4*n(b) - 5*t(b). Differentiate h(p) with respect to p.
-9*p**2
Suppose -4 = -3*k + 3*y + 11, 2*k - 15 = 3*y. Suppose k*a = a. Find the third derivative of 4*t**2 + 3*t**4 - 2*t**2 + a*t**4 wrt t.
72*t
Let c(z) = -z**3 - 4*z**2 + 4*z - 3. Let m be c(-5). Differentiate r**2 - 2 + 0 + r**m with respect to r.
4*r
Let i(m) be the first derivative of m**8/56 + m**4/6 + m - 3. Let a(c) be the first derivative of i(c). Find the third derivative of a(r) wrt r.
120*r**3
Let r(g) be the third derivative of 4*g**7/105 - g**4/3 - g**2. What is the second derivative of r(l) wrt l?
96*l**2
Let u(a) be the second derivative of 9*a**6/10 - 20*a**2 - 10*a. What is the derivative of u(y) wrt y?
108*y**3
Let m(n) be the third derivative of 5*n**8/336 - n**5/12 + n**4/6 + 4*n**3/3 - 18*n**2. What is the second derivative of m(c) wrt c?
100*c**3 - 10
Let g(h) = h**2 - 5*h + 6. Let r be g(4). Find the third derivative of -13*u**4 + 0*u**r - 3*u**2 + 15*u**4 wrt u.
48*u
Let h(w) be the first derivative of 0*w**3 - 3/5*w**5 + 0*w**2 + 3*w - 2 + 0*w**4. Differentiate h(g) with respect to g.
-12*g**3
Let i be 5*(2 + 0/1). Let h = i + -4. What is the second derivative of h*w**5 - 9*w**5 - w - 2*w wrt w?
-60*w**3
Let v(b) be the first derivative of -b**7/105 - b**5/30 - 3*b**2/2 + 1. Let x(h) be the second derivative of v(h). Find the third derivative of x(n) wrt n.
-48*n
Let v(z) be the third derivative of -z**7/42 - 5*z**3/3 + 8*z**2. What is the first derivative of v(r) wrt r?
-20*r**3
Find the third derivative of 11*p**2 + 1 - 1 + 32*p**5 - 36*p**5 wrt p.
-240*p**2
Let n = 15 + -15. Let v(c) be the first derivative of n*c**3 + 1 + 0*c**2 + 1/4*c**4 + 2*c. Differentiate v(r) wrt r.
3*r**2
Let l(c) be the first derivative of c**6 + 2*c**3 + 6. What is the third derivative of l(t) wrt t?
360*t**2
What is the third derivative of -15*b**6 + 2*b**3 + 33*b**2 - 4*b - 31*b**2 - 2*b**6 - 2*b wrt b?
-2040*b**3 + 12
Let c(x) = -x**3 + x**2 + x - 1. Let r(y) = 9*y**3 - 10*y**2 + 2*y - 2. Let p(d) = -2*c(d) + r(d). What is the third derivative of p(u) wrt u?
66
Let g be 4/(-20) - (-26)/5. Let q = 5 - g. Find the third derivative of -p**2 + 2*p**3 - 4*p**3 - 3*p**2 + q*p**2 wrt p.
-12
Let x(b) be the first derivative of -7*b**3/3 + 3*b**2 + 5. Find the second derivative of x(y) wrt y.
-14
What is the first derivative of -o - 28 + o - 28 + 43*o**4 wrt o?
172*o**3
Let t(s) be the second derivative of -s**8/2240 + s**6/360 + s**4/4 + s. Let x(o) be the third derivative of t(o). What is the second derivative of x(c) wrt c?
-18*c
What is the derivative of -41 - 29*v**3 - 12 + 13 wrt v?
-87*v**2
Let v(t) = -9*t**4 + 14*t + 7. Let s(a) = 0*a**2 + 0*a**2 + 0 + 6*a**4 - 5 - 9*a. Let b(j) = 7*s(j) + 5*v(j). What is the second derivative of b(z) wrt z?
-36*z**2
Let t(o) be the first derivative of -3*o**4/4 + 2*o**3 + 23. What is the third derivative of t(k) wrt k?
-18
Let p(a) be the second derivative of a**11/27720 + a**7/840 + a**4/12 - 4*a. Let b(h) be the third derivative of p(h). Find the third derivative of b(w) wrt w.
240*w**3
Suppose -3*k = -2*k. Suppose 2*w = 8 - k. What is the third derivative of -2*y**6 - w*y**2 + 0*y**6 + 3*y**2 + 3*y**2 wrt y?
-240*y**3
Let l(i) = -i**3 - i - 1. Let j(a) = -38*a**3 + 21*a**2 - 6*a - 8. Let h(w) = j(w) - 6*l(w). What is the third derivative of h(v) wrt v?
-192
Suppose -5*x + 0*x + 2*c + 11 = 0, 3*x = -5*c - 12. Let u be (-30)/(-42) - (-2)/7. Differentiate u - x - 1 - 2*h**4 wrt h.
-8*h**3
What is the second derivative of -34*p - 7285*p**4 - 15*p + 7289*p**4 + 8*p**2 wrt p?
48*p**2 + 16
Let y(d) = -d - 2. Let t(v) = v**3 - 11*v**2 + v - 13. Let i be t(11). Let r be y(i). What is the first derivative of -1 - 5 - 2*p**4 + 4 + r*p**4 wrt p?
-8*p**3
Let r(s) = s**3 - 9*s**2 + 9*s - 4. Let l be r(8). What is the second derivative of 2*q**4 - q**l + 1 + 2*q - 1 wrt q?
12*q**2
Suppose -5 = n - 5*n - i, 3*n - 4*i = 18. Suppose -5*a + 24 - 4 = 0. Find the third derivative of 2*s**6 - 5*s**n + a*s**2 - s**2 wrt s.
240*s**3
Let b(q) = 10*q**2 - 2*q - 3. Let n(y) = -31*y**2 + 7*y + 8. Let p(i) = 7*b(i) + 2*n(i). What is the derivative of p(d) wrt d?
16*d
Let x = -1 - -11. Suppose 0 = 3*s + 2*d + x, 2*s + d - 20 = 5*d. Find the second derivative of s*n**4 + n**4 - n**4 + n**4 + 4*n wrt n.
12*n**2
Let o(u) = -45*u**4 - 38*u**2 - 3*u. Let b(n) = 46*n**4 + 38*n**2 + 4*n. Let f(q) = -3*b(q) - 4*o(q). What is the third derivative of f(t) wrt t?
1008*t
Let c(b) be the second derivative of 0*b**2 + 0*b**5 - 2*b + 0*b**3 + 0 - 1/6*b**4 + 0*b**6 + 1/56*b**8 + 0*b**7. What is the third derivative of c(k) wrt k?
120*k**3
Let n(a) be the second derivative of a**4/6 - 2*a**3/3 + 3*a. What is the second derivative of n(m) wrt m?
4
Let d(a) be the third derivative of -a**7/420 - a**6/120 - a**3/2 + a**2. Let b(w) be the first derivative of d(w). Find the third derivative of b(u) wrt u.
-12
Let i(c) be the first derivative of -3*c**4/2 + 4*c**3/3 - 5. What is the third derivative of i(p) wrt p?
-36
Let j(x) be the first derivative of 3 - x**3 + 2/5*x**5 + 0*x**4 + 0*x + 0*x**2. What is the third derivative of j(q) wrt q?
48*q
Find the third derivative of -11*o**4 + 24*o**4 + 17*o**4 - 12*o**2 + o**4 wrt o.
744*o
Let p be ((-4)/10)/(2/20). Let h = 7 + p. What is the derivative of 3*m**3 + 0 + 2*m**3 - h*m**3 + 3 wrt m?
6*m**2
Suppose 0 = 3*j - 6*j. Differentiate -3*a**2 + j*a**2 + 1 + 1 + 5*a**2 with respect to a.
4*a
Let p(i) = -57*i - 18. Let t(z) = 114*z + 35. Let u(b) = 5*p(b) + 2*t(b). Find the first derivative of u(y) wrt y.
-57
Find the first derivative of 47 + 14*g**4 - 95 + 53 wrt g.
56*g**3
Let y(d) be the first derivative of d**7/14 + d**4/3 - d - 2. Let q(n) be the first derivative of y(n). What is the third derivative of q(p) wrt p?
180*p**2
Let g = -13 + 21. Let r(i) = 2*i - 12. Let d be r(g). Find the third derivative of -3*v**2 - v**4 + v**d - 9*v**6 + 8*v**6 wrt v.
-120*v**3
Let p(j) be the second derivative of 3*j**4/4 + 21*j**2/2 - 35*j. What is the derivative of p(g) wrt g?
18*g
Let u(d) be the second derivative of -d**8/8 - 3*d**4/4 + 9*d. Find the third derivative of u(h) wrt h.
-840*h**3
Suppose -3*u = -b - 2 - 2, -3*b = -6. Let v be 2/(-7) + u/7. What is the second derivative of a**5 + 2*a + v*a**5 + a**5 wrt a?
40*a**3
Let i(j) be the second derivative of -j**5/20 + 23*j**3/6 + 3*j**2/2 - 43*j + 1. What is the first derivative of i(k) wrt k?
-3*k**2 + 23
Let o = -19 - -39. Suppose 6*w - w - o = 0. What is the second derivative of -w*a**2 + 8*a**2 - 2*a + 3*a wrt a?
8
Let j(o) be the third derivative of -7*o**6/120 + o**3/2 + 2*o**2. Find the first derivative of j(k) wrt k.
-21*k**2
Let w(a) be the third derivative of 0 + 0*a + 0*a**3 + 10*a**2 + 5/168*a**8 + 0*a**6 + 0*a**5 + 0*a**7 + 1/24*a**4. What is the second derivative of w(b) wrt b?
