- f**2 + 2*f**3 - 2*f**3 wrt f?
168*f
Let g(a) = 5*a**3 - a**2 + a - 1. Suppose -3*h + 5 = 2. Let j be g(h). Find the third derivative of 3*y**2 - 15 + 15 - 3*y**4 + 0*y**j wrt y.
-72*y
Let w(k) = -4*k**4 + 6*k**3 + 18*k**2 - 3*k - 1. Let f(i) = i**4 - i**3 + i**2 - 1. Let b(v) = f(v) - w(v). What is the third derivative of b(h) wrt h?
120*h - 42
Let b(q) be the first derivative of -26*q**7/7 - q**6/6 - 5*q**3/3 - 6*q + 23. What is the third derivative of b(d) wrt d?
-3120*d**3 - 60*d**2
Differentiate 383 - 336*o**3 - o**4 + 407*o**3 + 3*o**4 with respect to o.
8*o**3 + 213*o**2
Let p be 3*(-55)/(-33) + -2. Let w(g) be the first derivative of -7 + 3/2*g**2 - p*g. Differentiate w(f) with respect to f.
3
Let w(u) = -144*u**4 + 4*u**2 + 15. Let l(n) = 433*n**4 - 11*n**2 + n - 44. Let b(i) = 4*l(i) + 11*w(i). Find the second derivative of b(a) wrt a.
1776*a**2
Let b(r) be the third derivative of r**8/336 - 3*r**7/7 - r**5/12 - 13*r**4/24 - 285*r**2. Find the third derivative of b(u) wrt u.
60*u**2 - 2160*u
Let y(c) = 55*c**4 + 32*c**2. Let j(x) = 27*x**4 + 16*x**2. Let q = 78 + -72. Let a(v) = q*y(v) - 13*j(v). Find the third derivative of a(l) wrt l.
-504*l
Let t(q) be the first derivative of 4*q**5/5 - 7*q**4/12 + 7*q + 1. Let l(o) be the first derivative of t(o). What is the third derivative of l(j) wrt j?
96
Let k = -7/389 - -403/778. Let y(v) be the first derivative of 10/3*v**3 + 7 + k*v**2 + 0*v. What is the second derivative of y(o) wrt o?
20
Let p(h) be the third derivative of -h**7/35 - h**6/15 + 30*h**3 + 3*h**2 + 67. What is the first derivative of p(s) wrt s?
-24*s**3 - 24*s**2
Find the second derivative of 3 - 4*j**2 + 7*j**4 + 6 - 9 - 72*j wrt j.
84*j**2 - 8
What is the third derivative of -2*v**5 - 60*v**2 - 63*v**2 + 21*v + 128*v**2 + 114*v**4 wrt v?
-120*v**2 + 2736*v
Let h(k) be the second derivative of 877*k**4/12 + 124*k**2 - 329*k. Differentiate h(i) wrt i.
1754*i
Find the third derivative of 1317*k**2 - 609*k**2 - 112*k**3 - 567*k**2 + 30*k**3 wrt k.
-492
Let l = -3 - -5. Let a = 18 - 14. What is the second derivative of -w**2 + a*w - 2*w + 0*w + 3*w**l wrt w?
4
Let t(q) be the first derivative of 0*q + 3/4*q**4 - 14 + 0*q**2 + 7*q**3. Find the third derivative of t(p) wrt p.
18
Let q(b) = 24*b**3 - 24*b**3 - 1 + 5*b**4 - b**2 - 4*b**4. Let i(s) = -15*s**4 + s**2 + 30. Let y(p) = -i(p) - q(p). Differentiate y(u) with respect to u.
56*u**3
Differentiate -74*h - 27 - 31 - 8 + 234*h with respect to h.
160
Let j(m) be the second derivative of 0 - 1/4*m**4 - 1/2*m**2 + 0*m**3 + 9*m. What is the first derivative of j(b) wrt b?
-6*b
Let d(h) = -h + 26. Let r be d(14). What is the second derivative of 51*b**3 - r*b**5 - 51*b**3 + 7*b wrt b?
-240*b**3
Let c(j) be the first derivative of 34/3*j**3 + 0*j**2 + 4 - 33*j. Find the first derivative of c(t) wrt t.
68*t
Let v(f) be the third derivative of -f**8/336 + 23*f**6/120 - f**5/15 - f**4/8 + 90*f**2. What is the third derivative of v(n) wrt n?
-60*n**2 + 138
Suppose -3*f = -42 + 27. What is the second derivative of -5*h**5 + 26*h**f - 3*h - 5*h - 15*h wrt h?
420*h**3
What is the third derivative of 41*g**2 - 176*g**6 - 3*g**4 + 79*g**6 + 196*g**6 + 3*g**4 wrt g?
11880*g**3
Let l(v) = -2*v**3 + 2*v + 1. Let y be -2 - 0 - (-1)/1. Let h be l(y). Differentiate h + 2*t**4 - 3*t**4 - 3*t**4 with respect to t.
-16*t**3
Let h(s) be the third derivative of 107*s**8/84 - 29*s**5/30 + s**4/12 + 2*s**2 + 351*s. What is the third derivative of h(o) wrt o?
25680*o**2
Suppose 0*x + 2*x - 81 = -5*u, 24 = u + 3*x. What is the third derivative of 6*k**3 - u*k**3 - k**2 + 6*k**3 wrt k?
-18
Let t(k) = 4*k**5 - k**4 - 13*k**3 - k**2 - 9. Let z(j) = j**4 + j**3 + 2*j**2 + 1. Let s(f) = -t(f) - z(f). Find the third derivative of s(w) wrt w.
-240*w**2 + 72
Let w(r) = r - 1. Let j(o) be the third derivative of 7*o**4/12 + 5*o**3/2 + 14*o**2. Let x(d) = j(d) - 3*w(d). What is the derivative of x(z) wrt z?
11
Let r(g) = 2*g**3 - g**2 + g - 2. Let b be r(2). What is the derivative of -b*d**2 - 3*d**2 - 6 + 5*d**2 - 3 wrt d?
-20*d
Let t(l) be the first derivative of -102*l**5/5 - 2*l**3 + l - 114. Find the third derivative of t(j) wrt j.
-2448*j
Let z(g) be the first derivative of -173*g**4/2 + 74*g**3/3 + 3*g**2 + 138. Find the third derivative of z(r) wrt r.
-2076
Suppose 4 = o, -2*h - 4*o = -h - 38. What is the second derivative of k + 10*k - 11*k - 17*k - h*k**3 wrt k?
-132*k
Differentiate 18 + 7*z**4 + 12 + 22 + 273*z**3 - 275*z**3 with respect to z.
28*z**3 - 6*z**2
Let g(o) = o + 10. Let k be g(-6). What is the derivative of -323*j**4 - 4*j**2 - k - 2*j**2 + 16 + 324*j**4 wrt j?
4*j**3 - 12*j
Let v(w) = -2*w**2 - 12*w - 12. Let u be v(-5). Let d(p) = 2*p - 1. Let h(m) = -m**3 - 5*m + 1. Let y(t) = u*h(t) - 5*d(t). Differentiate y(c) wrt c.
6*c**2
Suppose 0 = 3*d - 4 - 38. Suppose 5*k = -d + 104. Find the third derivative of 18*c**3 - c**4 - k*c**3 + 6*c**2 - 2*c**4 wrt c.
-72*c
Let s(x) = 3*x**2 - x - 6. Let w be s(2). What is the first derivative of -48*d**4 + 50 + 40*d**4 - 29*d**w wrt d?
-148*d**3
Let g(v) = v**2 - 14*v - 33. Let c be g(19). Find the third derivative of -62 + 27*p**5 - 31*p**2 + c wrt p.
1620*p**2
Let t = 52 - 50. Let v(l) be the second derivative of -1/6*l**3 + 0 - 3/2*l**2 + t*l. What is the first derivative of v(n) wrt n?
-1
Suppose 36*w - 318 + 174 = 0. Let j(u) be the first derivative of 0*u**3 + 0*u + w + 2*u**2 - 3/2*u**4. What is the second derivative of j(g) wrt g?
-36*g
Differentiate -34*x - 88 + 2*x**2 + 6*x - 3*x**2 wrt x.
-2*x - 28
Let k(l) be the second derivative of 0*l**4 + 0 + 27*l - 31/2*l**2 - 9/10*l**5 + 0*l**3. Differentiate k(d) with respect to d.
-54*d**2
Let w be 3*(-1 - (-25)/15). Differentiate -9*d**2 - 15*d**4 - 36 + 6*d**2 + 3*d**w wrt d.
-60*d**3
Suppose -3*m - m + 107 = -5*f, 2*m + 5*f - 61 = 0. What is the derivative of m - 37*r + 68*r - 59*r wrt r?
-28
Suppose 0 = -0*z - z + 3*v + 19, -5*v = 0. What is the derivative of -z*p**2 - 16*p**2 - 37 - 15 wrt p?
-70*p
What is the first derivative of 3 + z**2 + 9 + 11 + 11 + 54 + 218*z**4 wrt z?
872*z**3 + 2*z
What is the second derivative of 93*w - 90*w**2 - w**3 + w**3 + 80*w - 3*w**5 wrt w?
-60*w**3 - 180
Let n be (-9)/(9/(-46)) + 2. What is the derivative of -24 - 28 - 11*s**3 + n wrt s?
-33*s**2
Differentiate k - 104 - 46*k + 117*k + 79*k with respect to k.
151
Let r(p) = -8*p**2 - 4*p. Let t(z) = z - 2*z**2 + 0*z + 3*z**2. Suppose -12*m + 22 = -14. Let o(g) = m*t(g) + r(g). What is the second derivative of o(h) wrt h?
-10
Let a(r) = 2*r + 25. Let l be a(-12). Differentiate -14*j**3 + 7*j**3 + 2 + 0 - l wrt j.
-21*j**2
Let p(h) be the second derivative of 7*h**3 - 151*h**2/2 + 18*h. Differentiate p(v) wrt v.
42
Let w = -283 - -286. Let d(t) be the first derivative of 0*t + 3/4*t**4 - 4 - 1/3*t**w + 0*t**2. Find the third derivative of d(l) wrt l.
18
Let s(p) be the first derivative of 0*p + 2/3*p**3 + 0*p**2 - 1/12*p**4 - 2 + 1/40*p**5. Let q(l) be the third derivative of s(l). Differentiate q(y) wrt y.
3
Let q = 86 - 83. Find the first derivative of -2*i + q - 7*i + 2*i - 10*i wrt i.
-17
Let v(i) be the third derivative of -19*i**8/24 + i**4/24 + 12*i**2 + 4. What is the second derivative of v(y) wrt y?
-5320*y**3
Let s(l) = -45*l**3 - 145*l**2. Let r(v) = 490*v**3 + 1594*v**2. Let q(n) = -6*r(n) - 68*s(n). Find the third derivative of q(z) wrt z.
720
Suppose -2 = 24*d - 23*d. Let k(l) = l**4 + 9*l**3 + 15*l. Let q(z) = -2*z**3 - 4*z. Let u(j) = d*k(j) - 9*q(j). What is the second derivative of u(i) wrt i?
-24*i**2
Let q(k) be the first derivative of -5*k**4/4 + 34*k**2 - 324*k + 651. Find the first derivative of q(b) wrt b.
-15*b**2 + 68
Suppose 0*q - 21 = -w + 4*q, 3*w - 11 = -q. Find the third derivative of -w*h**2 + 21*h**5 - 7*h**5 + 3*h**2 + 4*h**5 wrt h.
1080*h**2
Let c be 68/6 + (-2)/(-3). Let m(v) = -13*v**2 - 53*v. Let l be m(-4). Find the third derivative of 4*t**2 - t**2 - c*t**4 + 19*t**l wrt t.
168*t
Let v = 57/11 + -149/33. Let q(h) be the first derivative of 5/4*h**4 + 4 + 0*h + 0*h**2 - v*h**3. Find the third derivative of q(p) wrt p.
30
Let m = 46 + -30. Suppose -c - m = -4*g, -2*c + 10 + 10 = 5*g. Find the third derivative of 2*h**2 - 2*h**2 - h**2 + g*h**4 + h**4 wrt h.
120*h
Let j 