 derivative of a(f) wrt f.
41
Let k(d) be the third derivative of -d**6/30 - d**5/10 + 377*d**4/12 + 793*d**2. What is the second derivative of k(x) wrt x?
-24*x - 12
Let d = -20 - -25. Suppose -36 = -d*a - 4*b, 0 = 4*a - b - 4*b + 4. What is the second derivative of a*f + 9*f**4 + 0 + 0 - 12*f wrt f?
108*f**2
Let v(a) be the first derivative of -3*a**8/112 + a**4/3 + 7*a**2/2 + 7. Let k(d) be the second derivative of v(d). What is the second derivative of k(w) wrt w?
-180*w**3
Let z = -6 - -6. Suppose -5*i + 2*b + 7 = z, 23 + 5 = 4*i + 4*b. Find the second derivative of 5*k**3 + 6*k**4 - 12*k**i + 4*k + 7*k**3 wrt k.
72*k**2
Let m(x) be the third derivative of 1/120*x**6 + 0*x**4 - 1/6*x**3 + 0 + 0*x + 0*x**5 + 17*x**2. What is the first derivative of m(l) wrt l?
3*l**2
Let s(u) be the second derivative of 0*u**5 + 0*u**2 - u + 0*u**6 + 0*u**4 + 17/42*u**7 + 0 + 11/6*u**3. Find the second derivative of s(n) wrt n.
340*n**3
Find the second derivative of 3865*a**3 - 7*a - 39*a**5 - 3 - 3865*a**3 wrt a.
-780*a**3
Let q(y) be the second derivative of -5*y**7/6 + y**6/30 - y**3/6 - y**2/2 - 38*y + 2. What is the second derivative of q(v) wrt v?
-700*v**3 + 12*v**2
Suppose 0 = 3*z - 5*t - 22, 4*z + t = 68 - 8. Differentiate -5*g**4 + g - z + 26 - g**4 with respect to g.
-24*g**3 + 1
Let m(u) be the first derivative of -66*u**5/5 + 24*u - 76. What is the first derivative of m(g) wrt g?
-264*g**3
Let z(q) = -3*q**4 - 7*q**4 + 14*q**4 - 1. Let u(w) = -12*w**4 + 4. Let s(g) = -4*u(g) - 14*z(g). Differentiate s(h) wrt h.
-32*h**3
Let o(d) = d + 1. Suppose -3*k - 8 = -k - 3*q, 3*k = 2*q - 7. Let b(i) = -26*i + 33. Let j(s) = k*b(s) - o(s). Differentiate j(a) wrt a.
25
Let u(r) = 61*r**5 - 98*r**2 + 2*r - 2. Let t(v) = 122*v**5 - 197*v**2 + 5*v - 5. Let b(i) = 2*t(i) - 5*u(i). Find the third derivative of b(s) wrt s.
-3660*s**2
Let v(j) be the second derivative of 4*j**7/7 + 71*j**3/2 - 27*j - 2. What is the second derivative of v(c) wrt c?
480*c**3
Let x(b) be the second derivative of -11*b**5/10 + b**3 + 224*b**2 + 325*b. Find the first derivative of x(t) wrt t.
-66*t**2 + 6
Let j = 124 + -121. Let h(f) be the third derivative of -1/40*f**6 + 0 - 2*f**2 + 0*f + 0*f**j + 0*f**4 - 1/12*f**5. What is the third derivative of h(k) wrt k?
-18
Let z(w) = w**2 + 4*w + 6. Let i be z(-3). Differentiate 2*b**3 + 12 - 21*b**3 + 4*b**i with respect to b.
-45*b**2
Let v(h) = -h**5 + 2*h**2 - h + 1. Let y(j) = -45*j**5 + 2*j**3 - 4*j**2 + 318*j - 2. Let x(q) = -2*v(q) - y(q). What is the second derivative of x(w) wrt w?
940*w**3 - 12*w
Find the first derivative of 2*m**2 + 28*m - 44 - 46*m**3 + 168 - 28*m wrt m.
-138*m**2 + 4*m
Find the third derivative of -89*i**2 - 192*i + 192*i - 3*i**5 - 13*i**4 wrt i.
-180*i**2 - 312*i
Find the second derivative of 91531*w + 16*w**2 - 91586*w - 3*w**2 wrt w.
26
Let c(k) be the first derivative of 79*k**4/4 - 2*k**3/3 - 41*k**2 - 7. Find the second derivative of c(w) wrt w.
474*w - 4
Let g(u) be the third derivative of 0 - 9/2*u**3 + 0*u + 0*u**6 + 0*u**4 - 11*u**2 + 0*u**5 + 4/35*u**7. What is the derivative of g(b) wrt b?
96*b**3
Suppose -2*p = 3*l - 19, -5*l + 46 = -2*p + 9. Let f(i) be the first derivative of -l + 0*i - i + 2 - i**5 + 1. Find the first derivative of f(d) wrt d.
-20*d**3
Let w(p) be the second derivative of -p**4/12 + 6*p**3 + 65*p**2/2 + 2*p - 14. What is the first derivative of w(u) wrt u?
-2*u + 36
Suppose -8*j + 0 = -32. Find the third derivative of -15*r**4 + 24*r**j - 12*r**2 + r**2 wrt r.
216*r
Find the first derivative of -455 - 935*a**4 + 2*a**2 - 4*a**2 + 177*a**4 - 103 wrt a.
-3032*a**3 - 4*a
Let p be ((-1)/(-4))/(5/40). Let k = 6 - 3. What is the third derivative of -6*b**4 + 5*b**p - k*b**4 + 12*b**4 wrt b?
72*b
Suppose -v - 4*n + 12 = 3*v, 3*v - 2*n = 29. What is the second derivative of -29*r**2 + 5*r + 27*r**2 + v*r wrt r?
-4
Let v(u) be the third derivative of u**8/120 - u**4/8 - u**3/2 - 9*u**2. Let k(s) be the first derivative of v(s). Differentiate k(r) with respect to r.
56*r**3
Let x(f) = -f**4 - f**2. Let q(i) = -54*i**4 - 5*i**2 - 34*i - 1. Let n(t) = q(t) - 5*x(t). Find the second derivative of n(d) wrt d.
-588*d**2
Find the first derivative of -82 + 46*t**3 - 37 + 59 - 46 wrt t.
138*t**2
Let z = -119/30 + 4. Let n(w) be the third derivative of 1/3*w**3 + z*w**5 - 3*w**2 + 0 + 0*w + 0*w**4. What is the derivative of n(h) wrt h?
4*h
What is the third derivative of 20*a**5 - 11*a**5 + 28*a**4 - 2*a**3 + 112*a**2 - 433*a**2 + 2*a**3 wrt a?
540*a**2 + 672*a
Let s(y) be the second derivative of 91*y**3/6 + 79*y**2 - 83*y. What is the derivative of s(n) wrt n?
91
Find the third derivative of -27*v**2 + 248*v**6 + v**2 + 244*v**6 - 30*v**6 + 4 - 3 wrt v.
55440*v**3
Let o(b) be the third derivative of -203*b**6/120 + b**5/60 - 5*b**4/24 - 84*b**2 + b. What is the third derivative of o(r) wrt r?
-1218
Let x(r) be the third derivative of -4*r**7/21 - 47*r**4/24 - 11*r**2. Find the second derivative of x(j) wrt j.
-480*j**2
Let o(q) = -27*q**3 - 5*q**2 - 6*q - 57. Let u(k) = 14*k**3 + 3*k**2 + 3*k + 28. Let c(g) = -3*o(g) - 5*u(g). Differentiate c(f) with respect to f.
33*f**2 + 3
Suppose 13*u - 8 = 9*u. Suppose -u*v = 6 - 14. Find the first derivative of -1 + 4 - 4 - 3*m + v wrt m.
-3
Let x(m) = -56*m**4 + 2*m**3 + 16*m**2 + 3. Let d(g) = -55*g**4 + 3*g**3 + 18*g**2 + 4. Let z(b) = -4*d(b) + 5*x(b). What is the third derivative of z(i) wrt i?
-1440*i - 12
What is the derivative of -33*h**3 + 430 - 723 + 6*h**3 - 10*h**3 wrt h?
-111*h**2
Let t(c) be the third derivative of -19*c**9/42 - 211*c**5/60 + 224*c**2. Find the third derivative of t(s) wrt s.
-27360*s**3
Let b(v) = -887*v**2 - 25*v - 1103. Let f(u) = -1330*u**2 - 35*u - 1655. Let p(a) = 7*b(a) - 5*f(a). What is the first derivative of p(z) wrt z?
882*z
Let d(l) = 17 - 3*l**2 - 6*l + 63*l**2 - 10*l**2. Let i(t) = 149*t**2 - 17*t + 51. Let n(b) = -17*d(b) + 6*i(b). What is the first derivative of n(a) wrt a?
88*a
Let a(l) be the second derivative of l**6/30 - 33*l**5/4 + 43*l**3/3 + l**2/2 + 346*l. What is the second derivative of a(y) wrt y?
12*y**2 - 990*y
Let o(t) = -23*t**3 + 15*t**2 + 11*t + 3. Let d(g) = -25*g**3 + 14*g**2 + 10*g + 2. Let s(m) = 7*d(m) - 6*o(m). Find the second derivative of s(v) wrt v.
-222*v + 16
Let i(j) be the second derivative of 0 - 2/5*j**5 - 29/12*j**4 + 0*j**3 + 0*j**2 - 21*j. What is the third derivative of i(u) wrt u?
-48
Let r be (-4)/(-18) + (-1878)/(-54). What is the derivative of -1 - 17*l - r - 1 + 0*l wrt l?
-17
Let j(d) = 65*d + 1. Let c be j(1). Let r = 52 + -49. What is the second derivative of 6*s**r - c*s**2 + 3*s + 66*s**2 wrt s?
36*s
Let q = -20 - -22. Let c(a) be the first derivative of 0*a**4 - 2/5*a**5 - 7/2*a**q + 0*a + 0*a**3 - 1. What is the second derivative of c(v) wrt v?
-24*v**2
Let i(t) = -t - 1. Let m(c) = -99*c + 96. Let b(f) = -5*i(f) - m(f). Find the first derivative of b(a) wrt a.
104
Let p(y) = 4 + 5 + 8*y + 3*y**2 + 5*y**2 + y**3. Let n be p(-7). What is the second derivative of -m**5 + 21*m**n - 21*m**2 - m + 6*m wrt m?
-20*m**3
Suppose -16*c + 20*c - 72 = 0. Suppose -4*v + l = -7 - 5, 4*l = v - c. What is the third derivative of 8*x**4 + 7*x**v - 5*x**3 + 5*x**3 wrt x?
192*x
What is the second derivative of -509*q + 619*q**5 - 503*q + 201 + 1009*q + 2*q**4 wrt q?
12380*q**3 + 24*q**2
Let s(f) be the first derivative of -f**5/5 + 16*f**4 + f**3/3 + 37*f**2/2 - 207. Find the third derivative of s(v) wrt v.
-24*v + 384
Differentiate 361*m + 100*m + 108*m + 309 with respect to m.
569
Let t(o) = o**3 - o**2 + o + 2. Suppose -2*z + 0*z = 0. Let p be t(z). What is the third derivative of 4*l**4 + 4*l**2 + l**2 - p*l**2 wrt l?
96*l
Let q = -54 + 58. What is the first derivative of -5*j**2 + 21 + 5*j**2 - 29 - 10*j**q wrt j?
-40*j**3
Let r(o) be the first derivative of 18 - 10/3*o**3 + 9/2*o**4 + 0*o**2 + 0*o. What is the third derivative of r(u) wrt u?
108
Suppose 3*x = 3*i + 24, -2*x + i = -2*i - 20. Let z = 8 - x. Find the first derivative of -3 + 0*s**2 - 9*s**4 + 0*s**2 + 12*s**z wrt s.
12*s**3
Let h(p) = 41*p**3 + 3*p - 2. Let z be h(1). Find the first derivative of 42*t**3 + 7 + 7 - z*t**3 + 26*t**4 wrt t.
104*t**3
Let z(t) = t**2 + 6*t + 7. Let u be z(-5). Differentiate -