6*o**2
Suppose 0 = 3*n - 5*n + 12. What is the derivative of -1 + 8*a + 3 + n + 3 wrt a?
8
Let a(d) be the first derivative of -9*d**5/5 - d**3/3 + 41*d - 95. What is the first derivative of a(g) wrt g?
-36*g**3 - 2*g
Let h(m) be the first derivative of -61*m**5/5 + m**4/2 + 10*m + 96. Differentiate h(l) with respect to l.
-244*l**3 + 6*l**2
What is the second derivative of 6765*c - 274*c**2 - 3418*c - 3425*c wrt c?
-548
Find the third derivative of 41*k - 99*k**3 - 34*k**3 + 17*k**3 + 76*k**2 - 74*k**2 wrt k.
-696
Let x(j) be the second derivative of 4*j**6/15 - j**4/4 - 41*j. Find the third derivative of x(g) wrt g.
192*g
Let t(n) = 2*n**2 - 3*n + 1. Let d be t(2). Suppose 5*x + 8*g - 80 = 3*g, 0 = 4*x - 3*g - 57. Find the second derivative of -a + d*a - x*a**5 + 11*a**5 wrt a.
-80*a**3
Let o be ((-8)/(-6))/((-12)/(-27)*1). Differentiate -17*h**o + 124*h - 124*h + 30 with respect to h.
-51*h**2
Suppose -42 = -2*s + 4*n, -48 = -2*s - 2*s - n. What is the first derivative of 10 - 8*f - 7*f + s*f wrt f?
-2
Let n(d) = -5*d - 1. Let y be n(-1). Suppose -y*i + 16 = -0. Differentiate -24*z**3 + 31*z**3 + 7 + 4*z - i*z with respect to z.
21*z**2
Let w(y) be the first derivative of 4*y**5/5 - 5*y**4/2 - 24*y**3 - y - 108. Find the third derivative of w(v) wrt v.
96*v - 60
Suppose 12 = -0*h - 4*h. Let z = 5 + h. Find the third derivative of 3*d**3 - 1 + d**z + 1 - d**3 wrt d.
12
Let d = 37 - 19. Let m be (-3)/(-2)*60/d. Find the second derivative of 2*i - m*i + 4*i**4 + 0*i**4 wrt i.
48*i**2
Suppose -58 = z - 60. Find the third derivative of -139*g**2 + 59*g**2 + 66*g**z - 22*g**5 wrt g.
-1320*g**2
Let c(u) = u**6 + u**5 + u**2. Let z(o) = -32*o**6 + 6*o**5 + 2*o**4 + 59*o**2. Let r(v) = 6*c(v) - z(v). Find the third derivative of r(f) wrt f.
4560*f**3 - 48*f
Let u(p) be the third derivative of -6*p**7/35 + p**5/20 + p**3/3 + 41*p**2 + 2. Find the third derivative of u(m) wrt m.
-864*m
Let k(n) be the third derivative of -16*n**7/7 + 5*n**4/4 - 488*n**2. What is the second derivative of k(r) wrt r?
-5760*r**2
Let g(z) be the second derivative of -z**8/480 - z**7/420 - 5*z**4/12 - 16*z. Let m(n) be the third derivative of g(n). Find the third derivative of m(x) wrt x.
-84
Let x(w) be the first derivative of 0*w + 31 + 25/3*w**3 - 19/2*w**2. Find the second derivative of x(b) wrt b.
50
Let s(m) = -559*m**5 + 5*m**4 + 7*m**2 + 3*m. Let h(j) = -280*j**5 + 3*j**4 + 3*j**2 + j. Let k(b) = 5*h(b) - 3*s(b). Find the third derivative of k(n) wrt n.
16620*n**2
Let u(z) = 53*z**4 + 6*z**2 + 3*z - 63. Let i(w) = 106*w**4 + 14*w**2 + 7*w - 126. Let o(q) = 3*i(q) - 7*u(q). Differentiate o(x) with respect to x.
-212*x**3
Let c = 55 - 33. Find the first derivative of -44*d + c*d - 16 + 24*d + 4*d**2 - 26 wrt d.
8*d + 2
Differentiate -25 - 3 + 54*r**2 - 14 wrt r.
108*r
Let g be (-2)/(-2) - (-7 + 2). Find the second derivative of m**2 - g*m + 7*m**2 - m**2 + m**2 wrt m.
16
Differentiate -13 + 13*g**2 - 87*g**2 - 12*g**2 with respect to g.
-172*g
Let w(z) = -513*z**2 + 10*z - 13. Let l(v) = -3*v - 3. Let p(c) = 3*l(c) - w(c). What is the second derivative of p(t) wrt t?
1026
Let v(r) be the third derivative of -73*r**9/72 - 827*r**5/60 + 155*r**2. What is the third derivative of v(w) wrt w?
-61320*w**3
Find the second derivative of -11*t**5 + 8*t**4 - 14*t**4 - 2*t**4 - 197*t - 2*t**4 wrt t.
-220*t**3 - 120*t**2
Let n(j) = j - 14. Let p be n(16). Let l = 1 - 1. Find the first derivative of 0*g + l*g + g**p + 0*g + 3 wrt g.
2*g
What is the third derivative of -8*t**6 - 379*t**2 + 268*t**2 + 370*t**2 + 8*t**3 wrt t?
-960*t**3 + 48
Let q(g) be the first derivative of -3*g**4/2 - 13*g**3 + 97*g**2/2 - 445. Find the second derivative of q(y) wrt y.
-36*y - 78
Suppose 0 = 3*u + 4 - 10. What is the second derivative of -16*s**2 - 16*s + 2*s**2 + 2*s**u wrt s?
-24
Find the third derivative of 151*h**3 - 29*h**2 + 182*h**2 + 9*h + 7*h**2 - 9*h wrt h.
906
Let g(k) be the third derivative of 23*k**5/20 - 31*k**4/8 - k**3/3 + 2*k**2 + 173. Find the second derivative of g(t) wrt t.
138
Let p(d) be the first derivative of 10*d**3/3 + d**2 - 218*d - 87. Find the second derivative of p(c) wrt c.
20
Let z = 83 - 81. What is the third derivative of 5*n**6 + 10*n**z - 1 + 1 + 4*n**2 wrt n?
600*n**3
Let a(x) be the first derivative of -352*x**7/7 - 245*x**3/3 + 392. Find the third derivative of a(q) wrt q.
-42240*q**3
Let a(h) = -36*h + 41. Suppose 2*v - 7*v = -85. Let f(c) = -12*c + 14. Let l(b) = v*f(b) - 6*a(b). Differentiate l(w) with respect to w.
12
Let h(u) be the first derivative of 0*u**3 + 9/2*u**4 - 11 - 43/2*u**2 + 0*u. What is the second derivative of h(d) wrt d?
108*d
Let n be (2 + -5)*14/(-21) + 2. Find the third derivative of 0*d**2 + 66*d**3 - 35*d**3 - n + 2*d**2 wrt d.
186
Let h = 5 + 7. What is the third derivative of h*m**2 - m**6 + 35*m**5 - 35*m**5 wrt m?
-120*m**3
Let l(c) be the first derivative of 0*c**3 - 19/5*c**5 + 19 + 0*c**4 + 0*c**2 + 17*c. What is the derivative of l(o) wrt o?
-76*o**3
What is the third derivative of 17*l**2 - 30*l - 25*l + 100*l**3 + 55*l + 3*l**2 wrt l?
600
Let h(y) be the third derivative of -5*y**8/42 + y**6/40 - y**5/60 - 4*y**2 + 72*y. What is the third derivative of h(r) wrt r?
-2400*r**2 + 18
Suppose -11 - 3 = 2*q. Let z(a) = -2*a - 10. Let r be z(q). Find the third derivative of 53*t**3 - 53*t**3 + 6*t**2 - r*t**6 wrt t.
-480*t**3
Let f(j) = -34*j + 11. Let z(s) = 1. Let q(g) = -g**3 + g**2 + 2*g + 1. Let l be q(2). Let m(p) = l*f(p) - 2*z(p). Differentiate m(k) with respect to k.
-34
Let d = 18 - -21. Differentiate -125*j**3 + 61*j**3 + 66*j**3 + 24 + 15 + d*j**2 with respect to j.
6*j**2 + 78*j
Differentiate -16 - 27*l**3 + 4 - 24*l**3 with respect to l.
-153*l**2
Suppose 2*p - 5*o + 11 = 0, -5*p - 4*o - 1 = -23. Suppose p*k + 3*g + 13 = 0, 4*k + 4*g = 2*k - 18. Differentiate -6 - 2*b**2 - 2 - k + 2 wrt b.
-4*b
Let v = -95 - -99. Differentiate 1 - 25*f**v - 62*f + 62*f with respect to f.
-100*f**3
What is the first derivative of 123*g**3 - 4*g**3 + 127*g**3 - 83 + 4 wrt g?
738*g**2
Let v(p) be the first derivative of 16*p**6/3 + p**4 - 92*p**3/3 + 114. Find the third derivative of v(j) wrt j.
1920*j**2 + 24
Let n(w) = 165*w**3 - 181*w**2 + 6*w + 6. Let r(i) = -i**2 + 2*i + 2. Let q(u) = -n(u) + 3*r(u). Find the third derivative of q(y) wrt y.
-990
Let m(w) be the third derivative of -w**7/42 + w**6/30 - 13*w**5/5 - 6*w**2 + 14*w. What is the third derivative of m(k) wrt k?
-120*k + 24
Let p be 32/(-20)*(-15)/6. Suppose p + 2 = 2*w. Differentiate -y**3 + 4*y**w - 3 + 4 with respect to y.
9*y**2
Let t(f) be the second derivative of -87*f**5/20 - 97*f**2/2 - 84*f + 1. Differentiate t(b) wrt b.
-261*b**2
What is the second derivative of 0*q**4 + 5 - 25*q + 3*q**3 - q**5 - 2 - 4 + 0*q**4 wrt q?
-20*q**3 + 18*q
Suppose -662*x + 661*x + 3 = 0. Let y(k) be the second derivative of 1/2*k**4 + 3*k**2 + 0*k**x - 2*k + 0. Find the first derivative of y(g) wrt g.
12*g
Let w(a) = -32*a**3 - 6*a**2 - 2*a + 153. Let t(i) = 96*i**3 + 17*i**2 + 5*i - 462. Let d(p) = 6*t(p) + 17*w(p). Differentiate d(h) with respect to h.
96*h**2 - 4
Let m(o) = 6*o**3 - o**2 - 4*o + 4. Let c be m(1). Let l(z) = 12*z + 17. Let q(h) = 11*h + 17. Let j(w) = c*q(w) - 6*l(w). Differentiate j(k) with respect to k.
-17
Suppose f + 5*z - 24 = 0, -z = -2*f - 0 + 4. What is the first derivative of 33 + 7*y**f + 5 - 18*y**4 - 14*y**4 wrt y?
-100*y**3
What is the second derivative of -856*r + 386*r**4 + 205*r**4 + 47*r**4 - 24*r**4 wrt r?
7368*r**2
Let l(n) be the first derivative of n**8/48 - 4*n**6/45 - 31*n**3/3 - 25. Let m(s) be the third derivative of l(s). What is the third derivative of m(o) wrt o?
840*o
Suppose -5*a + 12 = 2. Suppose -5*q + 32 = -q. What is the third derivative of -3*v**a - 2*v**5 + 2*v**2 + q*v**2 wrt v?
-120*v**2
What is the second derivative of -1467*s**3 + 250*s - 136*s**5 + 1467*s**3 wrt s?
-2720*s**3
Find the second derivative of 9*f**2 + 320*f**4 - 9*f**2 + 5*f + 286 - 240 wrt f.
3840*f**2
Let r(a) be the first derivative of -9*a**5/20 - 8*a**2 - 7*a + 7. Let c(b) be the first derivative of r(b). Differentiate c(d) with respect to d.
-27*d**2
Let b(y) be the first derivative of 40*y**3/3 - 117*y - 14. Let a(c) = 19*c**2 - 59. Let l(x) = 5*a