 n)/1 + 1. Find the first derivative of 1 - 15*h**3 + h**3 + r*h**3 wrt h.
-42*h**2
Let y(c) be the first derivative of 36 + 1/2*c**2 - 1/4*c**4 + 2*c**3 - 3*c. Find the second derivative of y(x) wrt x.
-6*x + 12
Suppose -4*y + m = -3, -28 = y - 5*m - 5. Find the second derivative of y - 10*b - 8*b**2 - 9*b**2 + 0 - 6*b**2 wrt b.
-46
What is the second derivative of -26076*j**3 - 31 - 2*j + 4*j + 25980*j**3 wrt j?
-576*j
Let j(o) be the third derivative of -o**7/210 + 23*o**6/15 + o**5/30 - 61*o**3/3 + 314*o**2. Find the third derivative of j(d) wrt d.
-24*d + 1104
Differentiate 68*t**2 - 62*t**2 + 6*t + 2 - 71 wrt t.
12*t + 6
Suppose -2*t = -2*k + 8, -3*k + 5*k = -2. Let g = t - -7. What is the second derivative of -3*m + 7*m + g*m**4 - 10*m**4 - m**4 wrt m?
-108*m**2
Let l(v) be the second derivative of -3*v**7/14 - 7*v**6/30 + 63*v**4/2 - 13*v - 5. Find the third derivative of l(g) wrt g.
-540*g**2 - 168*g
Suppose 1 + 3 = s. Suppose -w - 11 = -4*r, r + 3*w = -r + 9. What is the third derivative of 2*d**5 + 0*d**4 + 0*d**5 + 0*d**s + r*d**2 wrt d?
120*d**2
Let l(x) = x**3 - 2*x**2 + x - 1. Let k(a) = -68*a**4 + 4*a**3 - 7*a**2 + 3*a - 85. Let z(m) = 2*k(m) - 6*l(m). What is the third derivative of z(f) wrt f?
-3264*f + 12
Let d(z) be the first derivative of 4*z**5/5 - 15*z**4/4 + z**3 + 68. Find the third derivative of d(n) wrt n.
96*n - 90
Let i = -6 + 5. Let l(h) = 0*h + 133*h**2 - h - 134*h**2. Let n(d) = -7*d**2 - 6*d - 3. Let q(o) = i*n(o) + 6*l(o). Differentiate q(j) with respect to j.
2*j
Let f(c) be the third derivative of 49*c**6/24 + 91*c**5/30 - 150*c**2. Find the third derivative of f(a) wrt a.
1470
What is the third derivative of -58*j**6 - 547*j**2 - 2*j + 277*j**2 + 271*j**2 wrt j?
-6960*j**3
Find the third derivative of -79*q**2 - 1458*q**4 + 1458*q**4 + 23*q**6 wrt q.
2760*q**3
Let s(a) be the third derivative of -23*a**7/70 - 13*a**5/20 - 2*a**2 + 70. Find the third derivative of s(w) wrt w.
-1656*w
Let m = 29 - 29. What is the second derivative of 4*t + 4*t - 10*t**2 + m*t + 21*t**2 wrt t?
22
Let g(f) = -f**4 + f**3 + f - 1. Let m(v) = 45*v**5 - 2*v**4 - 3*v**3 + 17*v**2 - 3*v + 1. Let r(p) = 3*g(p) + m(p). Find the third derivative of r(a) wrt a.
2700*a**2 - 120*a
Suppose 0*p = p - 4, 0 = 4*a - 4*p. Find the second derivative of 8*t**5 - 27*t - 3343*t**a + 3343*t**4 wrt t.
160*t**3
What is the derivative of -2405*b + 1351*b + 1361*b - 532 wrt b?
307
Let q = 4 - 1. What is the third derivative of -2*w**3 + w**3 - w**3 + 2*w**2 + 10*w**q wrt w?
48
Let f(q) = -q**2 + 1. Suppose 0 = -0*x - 5*x - 5. Let s(n) = -13*n**2 + 11*n + 1. Let g(u) = x*s(u) + f(u). Find the second derivative of g(w) wrt w.
24
Let o = 17 + -7. Let l be o*(0/4 - -1). Find the second derivative of 5*z**2 - 5*z**2 - 143*z + 135*z - l*z**3 wrt z.
-60*z
Let d(k) = -2*k**3 - 2*k - 1. Let n(q) = 18*q**3 - 17*q**2 - 364*q + 8. Let z(b) = 8*d(b) + n(b). Find the second derivative of z(u) wrt u.
12*u - 34
Let w(u) be the second derivative of -25*u**7/42 + 38*u**4/3 - u**3/6 - 54*u. Find the third derivative of w(t) wrt t.
-1500*t**2
Find the third derivative of -105*d**3 - 28*d**3 - 12 + 5*d**2 - 96*d**3 + 55*d**3 wrt d.
-1044
Let v(y) be the second derivative of 4*y + 0 + 0*y**4 + 0*y**3 - 3/10*y**5 - 17/2*y**2. Differentiate v(w) wrt w.
-18*w**2
Let l = -72/23 - -4343/1380. Let b(d) be the third derivative of 5*d**2 + 0 + 1/3*d**3 + l*d**5 + 0*d + 0*d**4. Differentiate b(p) wrt p.
2*p
Let r(p) = -2*p**3 - 586*p**2 + 532*p. Let w(v) = -2*v**3 - 587*v**2 + 531*v. Let x(j) = 5*r(j) - 6*w(j). What is the second derivative of x(c) wrt c?
12*c + 1184
Let a(m) be the third derivative of 11*m**6/60 - m**5/30 + 29*m**3/2 + 56*m**2. Differentiate a(r) with respect to r.
66*r**2 - 4*r
Let x(g) be the first derivative of 0*g**3 + 0*g**5 + 7/3*g**6 + 0*g + 4 - 6*g**2 + 0*g**4. Find the second derivative of x(z) wrt z.
280*z**3
Let g = -31 - -38. Let v(m) = -12*m**2 + 3*m. Let w(n) = -n**3 + 24*n**2 - 7*n. Let z(o) = g*v(o) + 3*w(o). Find the third derivative of z(u) wrt u.
-18
Let h(z) be the first derivative of -25*z**2/2 + 112*z - 46. Differentiate h(f) wrt f.
-25
Let d(y) = -10 + 8*y**2 - 23 + 25*y**2 + 0*y**2. Let j(l) = 16*l**2 - 16. Let t(z) = -6*d(z) + 11*j(z). Differentiate t(q) with respect to q.
-44*q
Let f(m) = 17*m**2 - 3*m + 2. Let n be f(1). What is the second derivative of -a**2 - 4*a**2 - n*a + 14*a wrt a?
-10
Let j be 3 + 0 - (-3)/(-3). Let t(z) = 5*z - 5. Let w be t(j). Find the third derivative of -w*n**2 + 4*n**2 + 13*n**4 - 16*n**4 wrt n.
-72*n
Let u = 14 - 18. Let i be 32/14 - u/(-14). Find the second derivative of 3*b**i - 2*b - 2*b - b**2 wrt b.
4
Let g(t) = -t**3 + 6*t**2 + t - 1. Let n(q) = 250*q**4 + 7*q**3 + 3*q**2 - 6*q + 6. Let d(y) = -6*g(y) - n(y). Find the third derivative of d(x) wrt x.
-6000*x - 6
Find the third derivative of 29 - 97*x**3 + 97*x**3 - 13*x**6 + 22*x**6 - 2*x**2 wrt x.
1080*x**3
What is the second derivative of 0*g**2 - g**2 + 98*g**5 - 139*g**5 - 45*g - 33*g + 63*g**5 wrt g?
440*g**3 - 2
Let h(q) = -493*q**4 + 2*q**3 - 657*q**2 + 4*q - 2. Let u(p) = p**3 - p**2 + 2*p - 1. Let a(w) = -h(w) + 2*u(w). What is the third derivative of a(l) wrt l?
11832*l
Let c(p) = -15*p**3 + 11*p**2 - 245*p + 726. Let u(l) = -3*l**3 + 2*l**2 - 49*l + 145. Let k(t) = -2*c(t) + 11*u(t). What is the derivative of k(j) wrt j?
-9*j**2 - 49
Let k(x) = 115*x**4 - 6*x**3 + 58*x**2 - 6*x + 4. Let c(v) = -v**4 - v**3 - v**2 - v + 1. Let y(q) = -6*c(q) + k(q). What is the third derivative of y(t) wrt t?
2904*t
Find the first derivative of -57*d**4 + 40 - 11 - 25*d**4 wrt d.
-328*d**3
Let r(l) be the third derivative of -16*l**7/7 - l**4/24 - 47*l**3/6 - 221*l**2. What is the second derivative of r(z) wrt z?
-5760*z**2
Let p(y) be the second derivative of 107*y**3/3 - 36*y**2 - y - 97. Find the first derivative of p(q) wrt q.
214
Let d be (-888)/(-840) + (-1)/(-7). Let k(c) be the first derivative of 0*c**3 + d*c**5 - 2 + 0*c**4 - 3*c**2 + 0*c. Find the second derivative of k(m) wrt m.
72*m**2
Let x(p) be the second derivative of 2*p**7/21 + p**5/2 + p**3/2 + 93*p**2/2 - 36*p + 4. Find the second derivative of x(c) wrt c.
80*c**3 + 60*c
Suppose 2*b + 5 = i + b, 3*i - 15 = 5*b. Suppose 0 = q - 0 - 3. Find the first derivative of 3*t**3 - 2*t**3 + 8 + i*t**q - 3 wrt t.
18*t**2
Let f(h) be the first derivative of -h**6/3 + 39*h**5/5 - 3*h**2/2 + 11*h - 219. What is the second derivative of f(d) wrt d?
-40*d**3 + 468*d**2
Let y(s) be the first derivative of 0*s**2 + 4 - 31/5*s**5 + 0*s**3 + 37*s + 0*s**4. What is the first derivative of y(w) wrt w?
-124*w**3
Suppose z - 2 = -2*r, -r + 4*z + 10 = -0*r. Suppose -r*i - 5 = -21. What is the second derivative of -i*c**5 + 0*c + 7*c + 5*c wrt c?
-160*c**3
Let f = -5 - -5. Suppose f = -5*x - 25, -4*l + 0*x - x = -19. Find the second derivative of -l*g + 0*g**5 + 0*g**5 + 5*g**5 - g**5 wrt g.
80*g**3
Let k(b) be the first derivative of -92*b**3 + 359*b - 284. Differentiate k(q) wrt q.
-552*q
Suppose 7*z = 6 + 8. Find the second derivative of 4*p**3 - 3*p**2 - 5*p**2 + 13*p + 8*p**z wrt p.
24*p
Let m(a) = 146*a**4 + 10*a - 147. Let u(h) = 73*h**4 + 4*h - 73. Let q(n) = -2*m(n) + 5*u(n). Differentiate q(b) with respect to b.
292*b**3
Let w(s) = 276*s**5 - 12*s**3 + 7*s**2 - 34*s - 6. Let k(i) = 2*i**3 - i**2 - i + 1. Let p(f) = 6*k(f) + w(f). Find the third derivative of p(t) wrt t.
16560*t**2
Let z = 150 - 146. Let r(d) be the third derivative of -2*d**2 + 0*d + 0 + 1/8*d**z - 1/3*d**3. Differentiate r(o) wrt o.
3
Suppose -5*g + 6 = -3*g. Let f(m) = 4*m**2 + 1. Let l(b) = 7*b**2 - 2*b**2 - b**2. Let a(k) = g*l(k) - 4*f(k). What is the first derivative of a(v) wrt v?
-8*v
Let w(c) be the second derivative of -c**4/12 - 2*c**3 + 5*c**2/2 + 8*c. Let u be w(-12). Find the first derivative of -4 + 4*t**4 - u*t**4 - 3*t**4 wrt t.
-16*t**3
Let j(k) = k**2 + 6*k - 1. Let o(s) = -301*s**2 + 22*s + 11. Let m(r) = -2*j(r) + o(r). What is the second derivative of m(w) wrt w?
-606
Let a = 10 + -6. Suppose 0 = -2*f + a + 4. Differentiate 4 + f*k**4 + 7*k**4 - 5*k**4 wrt k.
24*k**3
Find the third derivative of 16*c - 15*c - 5*c**3 - 22*c**3 - 7*c**2 wrt c.
-162
Let p(k) = 6*k**2 - k. Let j be p(1). What is the first derivative o