5/(-40). Let k(v) be the first derivative of 2*v**3 + 0*v**2 + 0*v**4 + 0*v - 3 + x*v**5. What is the third derivative of k(i) wrt i?
24*i
Let j(g) = -7*g**2 - 22*g + 58. Let p(c) = 4*c**2 + 10*c - 29. Let s(r) = 4*j(r) + 9*p(r). Differentiate s(y) wrt y.
16*y + 2
Let z(u) be the third derivative of 0 - 2*u**3 + 0*u**5 + 0*u**4 + 4*u**2 + 0*u**6 + 0*u - 17/210*u**7. What is the first derivative of z(x) wrt x?
-68*x**3
Let b be 9/2 + (-3)/(-6). Let m = b - -2. What is the third derivative of -g**2 - 4*g**5 + g**5 + m*g**5 wrt g?
240*g**2
Let l(o) = 3*o + 32. Let g(s) = s + 11. Let f(b) = -8*g(b) + 3*l(b). Let u be f(-4). Differentiate 2 - 5 + k**2 + u with respect to k.
2*k
Let d(m) be the third derivative of -39*m**6/10 + 143*m**5/30 + 53*m**2 + 5*m. Find the third derivative of d(g) wrt g.
-2808
Let d = -82 + 87. Find the second derivative of 14*b**5 + 464*b**2 - b + 9*b**d - 464*b**2 wrt b.
460*b**3
Let n(a) = -a**3 + 11*a**2 + 4. Let i be n(11). Let p be 3 + 3 - (i - 3). Find the second derivative of -25*m**4 - m**p + 49*m**4 - 24*m**4 - 11*m wrt m.
-20*m**3
What is the second derivative of -7*v - 12961*v**5 - 3 + 12959*v**5 - 9*v**2 - v**2 wrt v?
-40*v**3 - 20
Let a(l) be the third derivative of 7*l**6/90 + 7*l**4/8 + 19*l**3/3 - 21*l**2. Let n(r) be the first derivative of a(r). What is the derivative of n(d) wrt d?
56*d
Let t(i) = 2*i**4 + i**2 - 1. Let m(z) = -4*z**5 + 5*z**4 + 4*z**2 + 4*z + 13. Let w(b) = m(b) - 4*t(b). What is the second derivative of w(u) wrt u?
-80*u**3 - 36*u**2
What is the first derivative of 857*c**4 + c**2 - 244 - 621*c**4 - c**2 wrt c?
944*c**3
What is the third derivative of 261*u**2 + 2*u**3 - 4*u**3 + 20*u - 8*u**6 - 20*u - 137*u**6 wrt u?
-17400*u**3 - 12
Suppose -58 = -h - h. Suppose -h = 5*p - 6*p. Find the second derivative of -36*c**3 + 4*c + p*c**3 - 8*c wrt c.
-42*c
Let z(h) = -2*h**3 + h**3 - 5*h**3 - 1 + 5*h**3. Let y(p) = 18*p**3 + 2*p - 5. Let g(a) = y(a) - 5*z(a). What is the second derivative of g(b) wrt b?
138*b
Let q be (-4)/26 + (-80)/(-13). Suppose s + q = 4*s. What is the first derivative of -7 + s + 3 + 3*y + y wrt y?
4
Let m(x) be the third derivative of 0*x**4 - 24*x**2 + 0 + 0*x**5 + 1/8*x**6 + 0*x + 11/6*x**3. What is the first derivative of m(g) wrt g?
45*g**2
Let z(y) be the first derivative of 2*y**2 + 11/3*y**3 + 0*y - 4. Find the second derivative of z(f) wrt f.
22
Let k(n) be the second derivative of -91*n**5/5 - 113*n**4/4 + 140*n. What is the third derivative of k(w) wrt w?
-2184
Let v(z) = 14*z**4 + 8*z**3 - 20*z - 202. Let h(g) = g**4 + g**3. Let q(m) = -8*h(m) + v(m). Differentiate q(l) wrt l.
24*l**3 - 20
What is the second derivative of 10*j + 9 + 6 + 24*j**2 + 11*j**4 - 17*j**4 + 8*j**4 + 0 wrt j?
24*j**2 + 48
Let q(i) be the third derivative of 0*i**4 + 7/3*i**3 + 0 + 0*i**6 + 17/210*i**7 + 16*i**2 + 0*i + 0*i**5. Find the first derivative of q(n) wrt n.
68*n**3
What is the third derivative of 39*x**4 - 5*x**2 - 71*x**4 - 1 + 23*x**5 - 4*x**5 + 34*x**4 wrt x?
1140*x**2 + 48*x
Suppose h - 8 = 5*h, i + 2*h = -3. Let m(p) = 4*p**3 - p**2 + 1. Let o be m(1). Find the third derivative of -o*q**6 + i - 1 + q**2 + q**2 wrt q.
-480*q**3
Let l(g) = -71*g**5 - 233*g**2 - 7*g + 7. Let y(m) = 36*m**5 + 117*m**2 + 4*m - 4. Let u(k) = 4*l(k) + 7*y(k). Find the third derivative of u(d) wrt d.
-1920*d**2
Let u(i) = -134*i**3 + 41*i**2 + 3*i - 6. Let g(m) = -133*m**3 + 42*m**2 + 2*m - 4. Let n(t) = 3*g(t) - 2*u(t). What is the third derivative of n(x) wrt x?
-786
Suppose -3*h + 25 = 16. Differentiate 0 - h - 5 + w**3 - 2 with respect to w.
3*w**2
Let n(a) = 736*a**2 - 127*a - 18. Let z(l) = 490*l**2 - 85*l - 13. Let t(j) = -5*n(j) + 7*z(j). What is the second derivative of t(r) wrt r?
-500
What is the third derivative of 41*p**5 + 750*p**6 - 294*p**2 + 391*p**2 + 456*p**2 - 41*p**5 wrt p?
90000*p**3
Suppose 3*d + d = -20. Let l be (-36)/(-15)*d/(-2). Find the second derivative of 27*a + a**2 - l*a**2 - 28*a wrt a.
-10
Suppose -17 = -v + 2*j - 8, 0 = -4*v - 4*j + 60. Find the third derivative of -13*x**4 - v*x**3 + 19*x**2 - 10*x**3 + 23*x**3 wrt x.
-312*x
Let l(t) be the second derivative of 0*t**5 - 2*t + 0 + 0*t**6 + 0*t**2 + 0*t**7 + 5/4*t**4 + 1/4*t**8 + 0*t**3. Find the third derivative of l(v) wrt v.
1680*v**3
Let h(g) = -366*g - 5. Let z(x) = -915*x - 15. Let q(r) = -12*h(r) + 5*z(r). Differentiate q(b) with respect to b.
-183
Let p(k) be the second derivative of -k**6/15 - 49*k**4/6 + 611*k**2/2 - 570*k. Find the first derivative of p(n) wrt n.
-8*n**3 - 196*n
Differentiate 25*k**4 - 11*k**3 + 20*k**3 - 9*k**3 - 189*k**4 - 78 wrt k.
-656*k**3
Suppose -14*c + 9 = -11*c. What is the first derivative of 5*f - 8 - 6*f + f + 15*f**c wrt f?
45*f**2
Let g(q) = 43*q**3 + 11*q**2 - 23*q - 2. Let a(c) = -21*c**3 - 5*c**2 + 11*c + 1. Let n(h) = -13*a(h) - 6*g(h). Find the second derivative of n(o) wrt o.
90*o - 2
Let d(h) be the third derivative of -173*h**6/60 - h**5/15 + 5*h**3/3 + 277*h**2. What is the third derivative of d(l) wrt l?
-2076
What is the second derivative of -402*k - 527*k**2 - 606*k - 7 + 7 wrt k?
-1054
Let l(v) = v**2 - 1. Let d(m) = -8*m**2 - 19 + 1 - 4. Let s(q) = d(q) - 4*l(q). What is the first derivative of s(u) wrt u?
-24*u
Differentiate 100*z - 58*z + 107 + 54 + 83*z + 91 wrt z.
125
Let i(s) be the third derivative of 43*s**7/210 + 3*s**4/8 - s**3/3 - s**2 - 35*s. What is the second derivative of i(q) wrt q?
516*q**2
Find the first derivative of 32 + 1403*s - 847*s - 784*s wrt s.
-228
Suppose 3 = t - f, -1 = -5*t - f + 8. Find the third derivative of -4*c**2 + 7*c**5 - c**5 - t*c**2 wrt c.
360*c**2
Find the second derivative of 0*t**4 + 27 + 0*t**4 - 11*t**5 - 29 - 2*t + 3*t**3 wrt t.
-220*t**3 + 18*t
Find the third derivative of -293*a**5 + 8 - 226*a**2 - 4 - 1 + 232*a**2 wrt a.
-17580*a**2
Suppose 2*r - 5*b - 27 = 0, -5*b - 16 = -4*r + 23. Find the third derivative of -9*m**2 + 9*m**3 + 17*m**r + 3*m**3 - 12*m**3 wrt m.
2040*m**3
Let n(z) = 37*z**3 + 3*z**2 - 768*z - 11. Let s(y) = 13*y**3 + y**2 - 256*y - 4. Let x(o) = 4*n(o) - 11*s(o). What is the second derivative of x(d) wrt d?
30*d + 2
Let i(z) = z**2 - 2*z - 1. Let f = -1 + 6. Let g be i(f). What is the derivative of 9 - 12 - 4 - g*k wrt k?
-14
Find the third derivative of 12*u**2 - 33*u**2 + 2*u**4 + 60*u**2 - 3 + 14*u**5 wrt u.
840*u**2 + 48*u
Let p(l) be the second derivative of 157*l**3/2 + 172*l**2 - 9*l - 4. Find the first derivative of p(u) wrt u.
471
Let f(b) be the first derivative of 0*b**6 + 34/3*b**3 + 0*b + 0*b**2 - 34 + 0*b**5 + 0*b**4 + 3*b**7. What is the third derivative of f(k) wrt k?
2520*k**3
Let b(d) be the first derivative of -d**8/84 + 7*d**5/30 - 19*d**2/2 + 36. Let h(q) be the second derivative of b(q). Find the third derivative of h(y) wrt y.
-240*y**2
Let h(y) be the first derivative of -15*y**4/2 + 2*y**3/3 - 43*y - 20. What is the derivative of h(s) wrt s?
-90*s**2 + 4*s
Let j = -7 + 12. Find the first derivative of y**2 - j + 7 - 1 - 3*y**2 wrt y.
-4*y
Differentiate 7*g**2 - 7*g**2 + 94 + 29 + 356*g**4 with respect to g.
1424*g**3
Let i(n) = -n**5 - n**3 + n**2 + n + 1. Let m(t) = 26*t**5 - 3*t**3 + t**2 - 69*t + 3. Let w(o) = 3*i(o) - m(o). What is the second derivative of w(g) wrt g?
-580*g**3 + 4
Let b be ((-141)/27 - -5) + (-452)/(-9). What is the second derivative of 0*p**2 - 55*p + 11*p**2 + b*p wrt p?
22
Let x(s) = 175*s + 210. Let p(j) = -2*j + 2. Let q(a) = 4*p(a) - x(a). Differentiate q(h) with respect to h.
-183
Let g(t) be the second derivative of -t**10/3780 - 17*t**7/1260 - t**4/2 - t. Let w(i) be the third derivative of g(i). Find the third derivative of w(n) wrt n.
-480*n**2
Let f(c) = c**2 - 13*c - 14. Let b = -1 - -15. Let q be f(b). What is the second derivative of q - 2*s**2 - 4*s - 2 + 2 wrt s?
-4
Differentiate 448*q**2 - 206*q**2 - 529 - 249*q**2 + 27*q wrt q.
-14*q + 27
Let h(a) = 705*a**4 + 11*a**3 + 22*a - 896. Let l(z) = -353*z**4 - 6*z**3 - 12*z + 447. Let j(s) = -6*h(s) - 11*l(s). What is the derivative of j(f) wrt f?
-1388*f**3
Find the second derivative of 19*s + 25*s**3 - 41*s**3 + 56*s**3 + 115*s**3 wrt s.
930*s
Let x(t) = 45*t**3 - 5*t**2 + 3*t + 58. Let y(d) = -45*d**3 + 4*d**2 - 2*d - 59. Let q(j) = -4*x(j) - 5*y(j). Differentiate q(c) w