he third derivative of z**2 - 3*z**2 + 4*z**2 - 8*z**4 + g*z**v wrt z?
-192*z
What is the second derivative of 78*l + 51*l**2 + 5*l**2 + 38*l - 16*l wrt l?
112
Let q(g) = 3*g - 3. Let l be q(2). Suppose 0 = 2*k + 1 - l. Differentiate -k - 31*z + 31*z - 3*z**2 wrt z.
-6*z
Let a(h) = -h**3 + h**2. Let k be (2 - 0 - 5) + 9. Let m(w) = -11*w**3 - 20*w**2. Let o(v) = k*a(v) + m(v). Find the third derivative of o(c) wrt c.
-102
Let f(s) = -s**4 + 2*s**3 + 67*s**2 + 5. Let g(z) = z**3 + z**2 + 1. Let w(p) = f(p) - 5*g(p). Find the third derivative of w(v) wrt v.
-24*v - 18
Let m be (-6)/(6/(-5)) - 2. Suppose -b + 8 = m*q, -4*b - 3*q = -3 - 11. What is the second derivative of -10*s - b*s**3 + 544 - 544 wrt s?
-12*s
Let r(g) be the second derivative of -31*g**5/5 + 7*g**4/6 - 5*g**2/2 - 40*g - 4. Find the third derivative of r(s) wrt s.
-744
Let b(g) be the third derivative of -35*g**4/12 - 47*g**3/3 + 20*g**2. What is the first derivative of b(x) wrt x?
-70
Let q(x) = -4 - 2 - 6*x + 1. Let v(s) = 13*s + 11. Let c = 45 + -59. Let o(i) = c*q(i) - 6*v(i). Find the first derivative of o(u) wrt u.
6
Let a(g) be the first derivative of 0*g**3 + 26/5*g**5 - 7/2*g**2 + 0*g + 0*g**4 - 32. Find the second derivative of a(t) wrt t.
312*t**2
Let w(r) be the first derivative of -140*r**3/3 - 147*r**2/2 + 30. What is the second derivative of w(x) wrt x?
-280
Let z(a) be the third derivative of -19*a**7/210 + a**5/30 - a**4/12 - 31*a**3/3 + 34*a**2. Find the second derivative of z(t) wrt t.
-228*t**2 + 4
Let t(f) be the first derivative of 0*f - 2 + 0*f**2 + 6/5*f**5 + 8/3*f**3 + 0*f**4. Find the third derivative of t(d) wrt d.
144*d
Let t(g) be the second derivative of 0 + 0*g**5 - 29/30*g**6 + 0*g**2 + 0*g**3 + 7*g + 5/3*g**4. Find the third derivative of t(r) wrt r.
-696*r
Let u(r) be the first derivative of 449*r**4/4 + 14*r**3 + 24. Find the third derivative of u(v) wrt v.
2694
Let i(r) = -9*r + 7. Let p be i(-6). Differentiate -17 + p - 7*j - 2*j - j wrt j.
-10
Suppose 0 = -5*r - 0*r + g + 23, 3*g = -4*r + 26. Let p(a) be the first derivative of -a + 0 + 2*a + 1 - r - a**2. Find the first derivative of p(w) wrt w.
-2
Let v(r) be the first derivative of 0*r**4 + 1/2*r**2 - 44 + 0*r + 25/3*r**6 + 0*r**5 + 0*r**3. What is the second derivative of v(o) wrt o?
1000*o**3
Differentiate 18*n + 6*n + 12*n + 59 - 2*n + 25 with respect to n.
34
Suppose 0 = -0*h + 2*h - 4*u + 8, 4*u = 4*h + 24. Let v = h - -11. Find the third derivative of 2*a**2 - a**3 + 0*a**v - 5*a**3 + 0*a**3 wrt a.
-36
Let h(o) be the second derivative of 0*o**4 - 2/5*o**6 + 0*o**5 + 0*o**3 + 0 + 5*o - 9/2*o**2. Differentiate h(i) with respect to i.
-48*i**3
Suppose -a + 0*z + 9 = 4*z, 0 = -2*a + 4*z - 18. Let f be (a + 2)*(-8 - -3). What is the second derivative of 0*b**4 + 2*b**2 + 3*b**4 - f*b - 2*b**2 wrt b?
36*b**2
Suppose 4*h + 2*s + 0*s = 164, -4*s = -3*h + 123. What is the second derivative of 41*a**4 - 5*a + 2*a + 39*a**5 - h*a**4 wrt a?
780*a**3
Let t(a) be the second derivative of a**6/15 + 3*a**5/10 - 61*a**4/12 + 3*a + 11. Find the third derivative of t(l) wrt l.
48*l + 36
Differentiate 35 - 6*i**2 - 37*i**2 - 31 + 48 with respect to i.
-86*i
What is the third derivative of 70566*d**3 + 3*d**2 - 70362*d**3 - 23*d - 4*d**2 wrt d?
1224
What is the third derivative of -727278*c**3 + 935*c**2 + 727278*c**3 + 333*c**4 wrt c?
7992*c
Let a(z) be the third derivative of -z**7/210 + 3*z**5/20 + 14*z**3 - 13*z**2. What is the derivative of a(d) wrt d?
-4*d**3 + 18*d
Let y(z) be the third derivative of 229*z**9/168 - 13*z**5/4 - 209*z**2. What is the third derivative of y(l) wrt l?
82440*l**3
Let q(i) = i + 1. Let p = 592 - 597. Let c(x) = 6*x**3 + 2*x**3 - 8 - 5*x + x**3. Let g(j) = p*q(j) - c(j). What is the first derivative of g(r) wrt r?
-27*r**2
Let o(p) be the first derivative of 7*p**6/6 + 3*p**2/2 - 34*p - 170. Find the second derivative of o(x) wrt x.
140*x**3
Let h(p) be the second derivative of 0 + 0*p**5 + 0*p**3 + 3/56*p**8 + 0*p**2 + 0*p**6 - 7/6*p**4 + 0*p**7 - 24*p. What is the third derivative of h(s) wrt s?
360*s**3
Suppose -4*b - 4 + 16 = 0. What is the third derivative of -b*h**2 - 15*h**2 + 8*h**2 + 2*h**6 wrt h?
240*h**3
Let x(q) = 12*q + 20. Let z = 47 - 53. Let w(k) = k + 1. Let n(m) = z*w(m) + x(m). Differentiate n(b) wrt b.
6
Let w(t) be the third derivative of -29*t**8/56 + 29*t**5/3 + 274*t**2. Find the third derivative of w(k) wrt k.
-10440*k**2
What is the first derivative of 83*b**2 - 9*b - 14*b + 12 + 23*b + 32*b**2 wrt b?
230*b
Let w(x) be the first derivative of -x**5/4 - 29*x**4/12 - 19*x + 6. Let s(b) be the first derivative of w(b). What is the third derivative of s(m) wrt m?
-30
Let y(s) = -184*s**4 + 4*s**2 - 10*s - 4. Let j(c) = -182*c**4 + 5*c**2 - 9*c - 5. Let d(b) = 4*j(b) - 5*y(b). Find the second derivative of d(q) wrt q.
2304*q**2
Let k(o) be the third derivative of 13*o**5/60 - 7*o**4/24 - 299*o**3/6 - 24*o**2. Differentiate k(i) wrt i.
26*i - 7
Differentiate 6*m + 66 - 29*m**2 - 7*m + 110 + 201*m**2 wrt m.
344*m - 1
Let x(p) be the second derivative of 7/24*p**4 + p**2 + 0 - 7/6*p**3 - 3*p. Let m(k) be the first derivative of x(k). What is the derivative of m(v) wrt v?
7
Let q(f) = f**3 - f**2 - 7*f + 3. Let y be q(3). What is the third derivative of -14*u**5 + 9*u**2 - 45*u**3 + y*u**2 + 45*u**3 wrt u?
-840*u**2
Let j(h) = 1. Let v(q) = q**2 - 167*q - 245. Let p(o) = -4*j(o) + v(o). Find the first derivative of p(y) wrt y.
2*y - 167
Let d be 32 - (-7 - 12/(-3) - -2). Find the third derivative of 8*q**2 + 0*q**5 + d*q**2 + 2*q**5 wrt q.
120*q**2
Let f(j) be the third derivative of j**8/420 + j**5/40 - 2*j**4/3 - 6*j**2. Let a(x) be the second derivative of f(x). What is the derivative of a(l) wrt l?
48*l**2
Let m(a) = -53*a - 81. Let f(j) = -105*j - 164. Let h(u) = 3*f(u) - 5*m(u). Find the first derivative of h(t) wrt t.
-50
Suppose 0 = -v + 6*v - 2*m - 105, v - 29 = 2*m. Suppose v - 4 = 5*w. What is the third derivative of -5*x**4 - 2*x**4 + w*x**2 + 4*x**4 wrt x?
-72*x
Suppose -2*m = -6*m + 60. Find the first derivative of 9*v + 7 - v - m + 6 wrt v.
8
Let l(j) be the first derivative of 6/5*j**5 + 0*j**3 + 0*j**4 - 1 + 0*j**2 - 6*j. What is the derivative of l(c) wrt c?
24*c**3
Let m be (-4 - (-14)/2) + 1. Let n(f) be the first derivative of -f + 0*f**2 + 0*f**3 + 6 - 3/4*f**m. What is the derivative of n(i) wrt i?
-9*i**2
Let n(g) be the first derivative of 319*g**4/2 - 128*g - 574. What is the derivative of n(l) wrt l?
1914*l**2
Find the third derivative of 399 + 86*g**3 + 2*g**3 + 2*g**4 - g**2 - 259 - g**2 wrt g.
48*g + 528
Let g(z) be the first derivative of z**5/5 + 62*z**3/3 + 13*z**2/2 + z - 64. What is the second derivative of g(h) wrt h?
12*h**2 + 124
Let z(u) be the first derivative of -u**5/5 + 22*u**3/3 + 7*u + 46. Differentiate z(v) wrt v.
-4*v**3 + 44*v
Let s(v) = v**2 + v + 2. Let j be s(-2). What is the derivative of -j*p**3 - 28*p**3 + 4*p**3 - 2*p**2 + 59 wrt p?
-84*p**2 - 4*p
Suppose 0 = s + 3 - 5. What is the second derivative of -73 - s*y + 73 + 5*y**4 wrt y?
60*y**2
Let v(k) = -k**2 - 9*k + 22. Let f be v(-10). Find the first derivative of f*a - 13 - 11 + 7 wrt a.
12
Let l(r) be the first derivative of -3*r**4/4 - 11*r**3 - r**2/2 - 227*r + 8. Find the second derivative of l(t) wrt t.
-18*t - 66
Let q(v) be the first derivative of 0*v + 0*v**3 - v**2 + 2 + 5/4*v**4. Find the second derivative of q(t) wrt t.
30*t
Suppose -2*a + 3*a - 3*f - 2 = 0, 0 = 4*a - 2*f - 8. Find the second derivative of -8*x**a + 6*x + 3*x - 11*x - x**2 wrt x.
-18
Suppose -12 = -22*f + 20*f. Let j(u) = -u**3 - u + 1. Let a(m) = -15*m**3 + 6*m + 11. Let d(p) = f*j(p) + a(p). Differentiate d(c) wrt c.
-63*c**2
Let m = 6 + 0. Suppose -2*j + 19 = 15. Find the second derivative of -4 - 8*w + 4 + m*w**j wrt w.
12
Let q = 19 - 4. Let i = -13 + q. What is the third derivative of 6*v**2 - v**6 - 6*v**2 + i*v**2 wrt v?
-120*v**3
Let s(w) be the third derivative of 0*w**5 - 1/60*w**6 - 11/6*w**3 - 14*w**2 + 0*w + 0 + 0*w**4. Find the first derivative of s(r) wrt r.
-6*r**2
What is the second derivative of 20 - 63*k - 30 - 255*k**5 + 65*k + k**2 wrt k?
-5100*k**3 + 2
Let h(j) be the first derivative of 22*j**5/5 + j**2/2 + 14*j - 31. What is the first deriva