Let x = 1 + -1. Let d(w) be the first derivative of 0*w**2 - 3*w**3 + x*w - 1 + 7/4*w**4. What is the third derivative of d(k) wrt k?
42
Differentiate -746*t**2 - t + t - 1689*t**3 + 208*t**2 - 270 + 1687*t**3 with respect to t.
-6*t**2 - 1076*t
Let m(k) be the third derivative of -19*k**6/30 - k**3/2 - 16*k**2 - 3. Differentiate m(s) wrt s.
-228*s**2
Suppose v - 61 = -48. Find the second derivative of -v*b**5 - 4*b**4 - 9*b - 4*b + 4*b**4 wrt b.
-260*b**3
Let r(k) be the second derivative of 3*k**3 + 61*k**2/2 + 13*k. What is the first derivative of r(z) wrt z?
18
Let n be 76/14 + 32/56. Let h be 11/2 - (-9)/n. What is the third derivative of -175 + h*j**3 - j**2 + 175 wrt j?
42
Let f(j) be the first derivative of 12 - 15*j**2 + j**3 + 3*j**3 + 2*j + 15*j**2. Find the first derivative of f(v) wrt v.
24*v
What is the first derivative of -19*p**2 + 21 + 69 + 16*p**2 + 20*p wrt p?
-6*p + 20
Let j(i) be the third derivative of i**7/210 + 11*i**6/120 + 22*i**3 - 157*i**2. Find the first derivative of j(f) wrt f.
4*f**3 + 33*f**2
Let c(g) = 7*g - 100. Let j(u) = 8*u - 1. Let n(s) = c(s) + 2*j(s). Find the first derivative of n(o) wrt o.
23
Let k(w) be the first derivative of 21*w**2 + 12*w + 63. Differentiate k(b) with respect to b.
42
Find the first derivative of -62 - 104 + 42 + 12*p**3 - 257*p**3 wrt p.
-735*p**2
Let u(s) be the third derivative of 0*s**4 + 0*s**6 + 0*s - 1/14*s**7 + 8*s**2 + 0 - 3/20*s**5 + 0*s**3. Find the third derivative of u(v) wrt v.
-360*v
What is the third derivative of -99*c**2 + 9*c**4 - 12*c**4 + 31*c**5 - 7*c**5 wrt c?
1440*c**2 - 72*c
Let d(c) = -45*c**3 - 14*c**2 - 199. Let y(h) = 42*h**3 + 13*h**2 + 196. Let p(m) = 4*d(m) + 5*y(m). Differentiate p(n) wrt n.
90*n**2 + 18*n
Suppose 8*y = 3*y + 140. What is the second derivative of -30*g**5 - 8*g - y*g**5 + 57*g**5 wrt g?
-20*g**3
Let q(m) be the first derivative of m**7/105 - 7*m**5/60 + 5*m**3/3 + 21. Let p(j) be the third derivative of q(j). Find the second derivative of p(r) wrt r.
48*r
Let v(d) = 361*d**2 + 1. Let m be v(-1). Find the third derivative of -362 + 3*b**2 + m + 26*b**3 wrt b.
156
Suppose -5*c - 7 + 42 = 0. Suppose -5*q + 0*q + 28 = g, 0 = -5*g + 2*q + 32. What is the derivative of c - 4 - g*f - 4 wrt f?
-8
Suppose -u = 3*u - 20. Suppose -u*a + 0 = -15. Differentiate 2*q**3 - 2*q**3 - 2*q**3 + q**a + 3 with respect to q.
-3*q**2
Let r(j) be the second derivative of -29*j**6/10 - 21*j**2/2 + j - 17. Differentiate r(b) with respect to b.
-348*b**3
Find the third derivative of -2068*k**4 + 17*k**2 + 2 + 13*k**2 + 24*k**2 + 2063*k**4 - 4*k**3 wrt k.
-120*k - 24
Let z = -2 + 4. Find the third derivative of -37*b**z + 7*b**5 - b**5 + 3*b**2 wrt b.
360*b**2
Suppose -2*v = 3*w - 15, 26 - 8 = 3*w + 3*v. Let f(o) be the first derivative of 0*o**w + 3 + 3*o**2 - 1/2*o**4 + 0*o. Find the second derivative of f(d) wrt d.
-12*d
Let t(m) be the third derivative of -83*m**7/70 + m**4/3 + m**3/3 + 251*m**2. What is the second derivative of t(x) wrt x?
-2988*x**2
Let t be (10/4)/(75/60). Find the third derivative of 22*g**t + 0*g**2 + 18*g**6 - g**4 + 25*g**2 wrt g.
2160*g**3 - 24*g
Let u(g) be the second derivative of g**8/8 - g**6/10 - 47*g**4/12 + g + 50. What is the third derivative of u(w) wrt w?
840*w**3 - 72*w
Let t(j) be the second derivative of 0 + 23*j + 0*j**4 + 0*j**5 + 0*j**6 + 0*j**2 - 5/6*j**3 - 5/7*j**7. Find the second derivative of t(f) wrt f.
-600*f**3
Let y be (-3)/(-2) + 9/6. Suppose 2*l - z - 15 + y = 0, 2*l = 4*z + 24. Find the second derivative of 52*v - 49*v - v**4 + v**l - 4*v**5 wrt v.
-80*v**3
Let l(d) = 3*d + 34. Let p be l(-10). What is the derivative of 9*f**4 + 12*f**p - 24 - 15*f**4 wrt f?
24*f**3
Let r(g) = -831*g**4 + 14*g**2 + 7*g - 729. Let z(b) = -554*b**4 + 10*b**2 + 5*b - 486. Let k(n) = 5*r(n) - 7*z(n). Differentiate k(y) wrt y.
-1108*y**3
Let j(u) be the first derivative of 0*u**4 + 0*u**3 - 16/5*u**5 + 11/2*u**2 + 0*u + 11. Find the second derivative of j(b) wrt b.
-192*b**2
Let c(t) be the first derivative of t**7/7 - 13*t**4/4 - 2*t**3/3 + 21*t**2/2 - 51. What is the third derivative of c(d) wrt d?
120*d**3 - 78
Let j(z) be the first derivative of 4*z**4/3 - 3*z**3/2 + 4*z - 5. Let n(q) be the first derivative of j(q). What is the second derivative of n(x) wrt x?
32
Suppose 4 = i + 1. What is the derivative of -1 - 46*y**3 - 6 + 34*y**i wrt y?
-36*y**2
Let r(f) = f**4 + f**2 - 1. Let a(x) = 5 - 3*x + 2*x**2 - 6*x**4 - x + 4*x. Let t(p) = -a(p) + 2*r(p). Differentiate t(h) wrt h.
32*h**3
Let o = 29 - 18. Let f(d) = 2*d - 16. Let i be f(o). What is the second derivative of 2*u**5 + u**5 - 2*u - 4*u - i*u**5 wrt u?
-60*u**3
Let h be 213/7 - (-33)/(-77). Let j = h + -28. What is the third derivative of -4*k**2 - 5*k**6 - j*k**2 + 6*k**6 wrt k?
120*k**3
What is the second derivative of 41*b + 164*b**3 + 14 + b - 44*b + 22 wrt b?
984*b
Let d(l) = l**3 - l**2 - 2*l. Let g(y) = -390*y**3 - 5*y**2 + 267*y + 1. Let k(n) = 5*d(n) - g(n). What is the second derivative of k(r) wrt r?
2370*r
Let q(s) be the first derivative of s**8/1680 - s**6/24 - 7*s**3/3 + 14. Let z(m) be the third derivative of q(m). What is the third derivative of z(n) wrt n?
24*n
Let q be (-15)/(-4) + 18/72. Differentiate 3*x + 5*x + 4*x**q - 7*x - 18 wrt x.
16*x**3 + 1
Find the third derivative of 101*h**2 - h**6 + 213*h**5 + 54*h**5 + 60*h**2 + 150*h**2 - 91*h**5 wrt h.
-120*h**3 + 10560*h**2
Let z(j) be the first derivative of -j**4/12 - j**3/3 + 13*j**2/2 + 7. Let m(d) be the second derivative of z(d). Differentiate m(q) wrt q.
-2
Find the third derivative of -26*u**6 + 55*u + 46*u**6 - 2*u**2 - 19*u**6 wrt u.
120*u**3
Let q(u) = u. Let y be q(3). What is the first derivative of -6*n**y - 5 + 2 - 3 - 6*n**3 wrt n?
-36*n**2
Suppose -8*j = -3*j - 15. Differentiate -1 + 1 + 4 - 22*k**j + 3 with respect to k.
-66*k**2
Suppose -3*p - 108 = -114. What is the third derivative of 44*h**2 - 165*h**5 + 203*h**5 - 2*h**3 + p*h**3 wrt h?
2280*h**2
What is the third derivative of 0*b**3 + 3*b**2 - 53011 + 53039 - 4*b**3 + 4*b**3 + 23*b**4 wrt b?
552*b
Let t(x) be the second derivative of 425*x**3/6 + 87*x**2 - 24*x + 10. Find the first derivative of t(v) wrt v.
425
Let w(m) = 5*m - 20. Let n(d) = 16*d - 61. Let p be (-3 + 2 + 2)/(2/(-4)). Let y(v) = p*n(v) + 7*w(v). Differentiate y(i) wrt i.
3
Let q be (5 - 4)*(1 - 1). Let p(g) be the first derivative of 10 - 5*g + 0*g + q + 3*g**2 - 7*g. Find the first derivative of p(n) wrt n.
6
Suppose -2*t + t = -7. Find the second derivative of 3*z + t*z**3 - 20*z**3 + 0*z + 0*z wrt z.
-78*z
Let h(z) be the third derivative of -z**8/168 - 79*z**6/120 + z**5/30 - 121*z**3/6 + 27*z**2. What is the third derivative of h(d) wrt d?
-120*d**2 - 474
Find the second derivative of 105988*s**2 + 113*s - 105988*s**2 - 18*s**4 + 90*s**4 wrt s.
864*s**2
Let z(g) be the third derivative of g**7/210 + g**5/60 + 169*g**4/24 + 12*g**2 + 2*g. What is the second derivative of z(d) wrt d?
12*d**2 + 2
Differentiate 119*p - 137 - 155*p**4 - 119*p wrt p.
-620*p**3
Let g = -8 - -10. Let f(p) be the first derivative of -2*p**2 + 4*p**4 - 3*p**4 + 0*p**g + 0*p**2 + 2. What is the second derivative of f(h) wrt h?
24*h
Let x(k) be the first derivative of 3*k**4 + 0*k**2 + 4/3*k**3 + 0*k - 2. What is the third derivative of x(m) wrt m?
72
Let d(c) be the first derivative of -11*c - 1/5*c**5 + 0*c**2 + 0*c**4 + 0*c**3 + 7. What is the first derivative of d(l) wrt l?
-4*l**3
Let k(w) = w**4 + w**3 - w**2. Let m(z) = 42*z**3 - 7*z**2 + 52*z. Let u(j) = -4*k(j) + m(j). What is the third derivative of u(v) wrt v?
-96*v + 228
What is the third derivative of -2*k**3 + 23*k**2 + 7*k**5 - 53*k**2 - 34*k**5 - 57*k**2 - 9*k**2 wrt k?
-1620*k**2 - 12
Let h(a) = 20*a. Let m(r) = -3 + 16*r + 4 + 28*r - 25*r. Let b(k) = 6*h(k) - 7*m(k). Differentiate b(f) wrt f.
-13
Let i(q) = 6*q**4 + 5*q**3 - 5*q**2 + 15. Let b(h) = -3*h**4 - 2*h**3 + 3*h**2 - 7. Let m(x) = 5*b(x) + 2*i(x). Find the first derivative of m(y) wrt y.
-12*y**3 + 10*y
Let w(c) = 2*c**2 + c + 1. Let y be (-4)/(-3) - 7/3. Let n be w(y). What is the third derivative of -8*k**2 + 3*k**n - 2*k**5 - 3*k**5 + k**5 wrt k?
-240*k**2
What is the second derivative of 12*x - 35*x**5 + 123*x + 3*x**3 - 4*x - 3*x**5 wrt x?
