56*r
Let r(a) be the third derivative of 31*a**4/24 + 12*a**3 + 54*a**2. Find the first derivative of r(o) wrt o.
31
Differentiate -3 + 2*g**4 - 55*g**2 + 60*g**4 + 55*g**2 wrt g.
248*g**3
Find the third derivative of 24*j**4 - 102*j**4 - 39 + 28 - 31 - 3*j**2 wrt j.
-1872*j
Let h(p) = p**3 - 24*p + 55. Let u(w) = -6*w**3 + 121*w - 275. Let t(x) = -22*h(x) - 4*u(x). Find the first derivative of t(f) wrt f.
6*f**2 + 44
Let s(f) be the third derivative of 43*f**6/120 - 17*f**4/12 + f**3/6 - 34*f**2. Find the second derivative of s(h) wrt h.
258*h
What is the second derivative of -5*h**2 + 8*h**2 + h**5 + h**5 - 24*h**2 - 306*h - 29*h**2 wrt h?
40*h**3 - 100
Suppose -5*s + 39 = -3*d, 0 = s - 4*d - 1 - 0. Let y = 12 - s. Find the third derivative of 2*b**5 - 3*b**4 - 2*b**2 + y*b**4 + 4*b**5 wrt b.
360*b**2
What is the third derivative of 40*i**2 - 26*i**4 + 30271*i**3 - 2*i - 30271*i**3 wrt i?
-624*i
Let m(o) = -89*o**2 + 11*o + 11. Let p(a) = 45*a**2 - 6*a - 6. Let j(n) = 4*m(n) + 7*p(n). Find the second derivative of j(l) wrt l.
-82
What is the third derivative of 58*m**2 + 6762 + 6*m**3 - 6762 wrt m?
36
Let y(r) be the first derivative of -25/4*r**4 + 0*r**2 - 14*r - 34 + 0*r**3. What is the first derivative of y(q) wrt q?
-75*q**2
Let u(o) be the first derivative of 16*o + 45 + 7*o**3 + 2*o**3 - 13 - 5*o**3. Find the first derivative of u(a) wrt a.
24*a
Find the third derivative of -1634*m**2 + 507*m**3 + 108*m**3 + 2566*m**2 wrt m.
3690
Let m(z) be the first derivative of 53 - 1/4*z**4 + 0*z - 33/2*z**2 - 4/3*z**3. What is the second derivative of m(n) wrt n?
-6*n - 8
What is the first derivative of 7*d**3 + 2629*d - 2629*d + 21 wrt d?
21*d**2
Suppose -5 = -4*y + 7. Let a(l) = -10*l + 62. Let m be a(5). What is the derivative of -17 + 11 + m + 3*h**y wrt h?
9*h**2
Let x(c) = c - 6. Let q be x(8). Let k(m) = q*m - m + 1 - 2*m + 5*m. Let n(o) = -5*o - 2. Let s(t) = 4*k(t) + 3*n(t). Differentiate s(d) with respect to d.
1
Let l(s) = -2*s + 4. Let g(k) = 3*k + 6*k + k - 9*k. Let a(t) = 5*g(t) + l(t). Differentiate a(n) with respect to n.
3
Let l = 24 + -37. Let x = 13 + l. What is the first derivative of x*i + 20 - 13 + i wrt i?
1
What is the third derivative of 449*s**2 + 445*s**3 - 170 + 92 + 78 wrt s?
2670
Let r be -5*(12/15)/(-2). Let y be (-1 - -1) + r - -3. Find the third derivative of -2*l**y + 2*l**4 + 26*l**2 - 2*l**4 - 29*l**2 wrt l.
-120*l**2
Let d = 22 + -23. Let p be 6 + -1 + 3/d. What is the second derivative of 7*n**p - 9*n**4 - 6*n - n - 7*n**2 wrt n?
-108*n**2
What is the second derivative of -3*u - 10*u + 0*u - 3*u + 949*u**2 - 579 + 607 wrt u?
1898
Let q(y) be the third derivative of -13*y**6/8 + y**5/60 + 109*y**4/12 - 59*y**2. Find the second derivative of q(n) wrt n.
-1170*n + 2
Differentiate 456 - 11931*f - 458*f**3 + 11931*f wrt f.
-1374*f**2
Let o(d) be the first derivative of 10*d**4 + 2*d**3 + d + 27. Find the third derivative of o(w) wrt w.
240
Let b(w) be the third derivative of -113*w**5/60 + 17*w**4/8 + 2*w**2 + 185*w. Find the second derivative of b(q) wrt q.
-226
Let p = 42 + -40. What is the third derivative of -185*c**2 + 59*c**p - 21*c**3 + 94*c**2 wrt c?
-126
Let l(h) be the second derivative of h**9/1890 - h**7/1260 + h**4 - 4*h. Let n(a) be the third derivative of l(a). Find the third derivative of n(z) wrt z.
192*z
What is the second derivative of -21*f**2 - 37 + 3*f - 3*f + 2*f + 81 wrt f?
-42
Let o(x) be the second derivative of 3*x + 1/8*x**4 - 5*x**2 + 0 - 2*x**3. Let n(y) be the first derivative of o(y). Differentiate n(c) with respect to c.
3
Let v = -75 - -75. Find the third derivative of -18*u**3 + 12*u**2 + v*u**3 - 2*u**3 + 6*u**3 wrt u.
-84
What is the third derivative of -1 + 2*q - 1 - 156*q**2 + 182*q**2 - 556*q**4 + 2 wrt q?
-13344*q
Let h = 12 - 9. Let n(d) = -13*d**3 + 3*d**2 - 12. Let i(j) = -j**2. Let z(b) = h*i(b) + n(b). Differentiate z(f) with respect to f.
-39*f**2
Find the third derivative of -41*s**3 + 61*s - 61*s + 254*s**3 + 171*s**2 wrt s.
1278
Suppose 12 = 3*w + 2*p, 3*w + 3*p - 19 = -2*w. What is the second derivative of -w*z**2 + 3*z**2 - 4*z**2 - 2*z wrt z?
-6
What is the third derivative of 135*l**2 + 50*l**6 - 20*l**6 - 18*l**6 - 11*l**6 wrt l?
120*l**3
Let h = -9 - -9. Suppose h = 4*g - 13 + 5. What is the second derivative of -6*k**5 - 26*k**g - 3*k + 26*k**2 wrt k?
-120*k**3
Find the second derivative of 2*n - 41*n**4 - 99 + 67*n**4 - 198*n**5 - 26*n**4 wrt n.
-3960*n**3
Let o(r) be the first derivative of -29*r**4/4 - 32*r**3/3 - r**2/2 - 24. Find the third derivative of o(f) wrt f.
-174
Let m(x) be the first derivative of 41*x**5/60 + 29*x**3/6 + 11*x**2/2 + 30. Let v(n) be the second derivative of m(n). Differentiate v(w) wrt w.
82*w
Let v(y) be the third derivative of y**7/105 - 19*y**5/20 + 109*y**3/3 - 40*y**2 - 4*y. Differentiate v(x) with respect to x.
8*x**3 - 114*x
Let r = 12 - 8. Let q(x) be the first derivative of -3*x**4 - 4*x + 2*x**r + 3 - 9. What is the derivative of q(o) wrt o?
-12*o**2
Let x be (99 + -100)*(-2 + 1 + 1). Let b(a) be the first derivative of -11*a + 0*a**2 + x*a**3 - 1/2*a**4 - 6. Differentiate b(m) wrt m.
-6*m**2
Suppose -1 = 2*i - 15. Differentiate -4*h**4 - 3 - 1 + i wrt h.
-16*h**3
Let h(p) = 31*p**6 + 6*p**3 + 8*p**2 + 23*p + 12. Let k(q) = -q**6 + q**3 + q**2 - q + 2. Let n(a) = h(a) - 6*k(a). Find the third derivative of n(g) wrt g.
4440*g**3
Let p(q) be the second derivative of -8*q**3/3 + 308*q**2 + 14*q - 2. Find the first derivative of p(h) wrt h.
-16
Let g be (-4)/(-3*(-3)/((-27)/6)). Let z(b) be the first derivative of 0*b**g - 5/3*b**3 - 8*b - 2. What is the first derivative of z(k) wrt k?
-10*k
Let k be (1*-2)/((-4)/8). Find the third derivative of -2*b**2 - 11*b**2 - 131*b**k + 136*b**4 wrt b.
120*b
Suppose -7 - 1 = -4*x, 5*f + 5*x - 125 = 0. Let p = f + -16. Find the second derivative of p*s - 51*s**5 + 2*s + 58*s**5 wrt s.
140*s**3
Let w(z) = z**4 - 2*z**3 - 2*z**2 - 1. Let m(k) = 6*k**3 - 60*k**2 + 1. Let f(g) = 2*m(g) + 2*w(g). Find the third derivative of f(l) wrt l.
48*l + 48
Let x(c) = -2*c. Let t(g) = 125*g - 66. Let k(p) = -t(p) + 3*x(p). Differentiate k(r) with respect to r.
-131
Let k(z) = -3*z + 4*z + 5*z + 15 - 5*z. Let a be k(-12). Find the third derivative of -2*q**2 - a*q**2 - 7*q + 7*q + 6*q**6 wrt q.
720*q**3
Let m = -31 - -62. Suppose c + 42 = 3*c + 2*t, c = -3*t + m. What is the second derivative of -17*h - c*h**4 + 6*h + 21*h**4 wrt h?
60*h**2
Let u(s) be the second derivative of -65*s**6/6 - 287*s**3/6 - 25*s + 6. What is the second derivative of u(z) wrt z?
-3900*z**2
Let m(d) = -6 + 0 + 14*d + 7 - 9. Let b(h) = 15*h - 9. Let j(v) = 5*b(v) - 6*m(v). Differentiate j(u) with respect to u.
-9
Let i(g) be the second derivative of -9*g**5/4 - 28*g**4/3 - 4*g + 18. Find the third derivative of i(m) wrt m.
-270
Let g(z) = 8. Let x(y) be the third derivative of -8*y**2 - 1/24*y**4 + 0 + 0*y**3 + 0*y. Let u(l) = -g(l) - 3*x(l). What is the first derivative of u(i) wrt i?
3
Suppose l - 2*l + 9 = 0. Differentiate 0 - 4 + l*u**4 + 0 - 4 wrt u.
36*u**3
Let b(k) be the second derivative of 0 - 1/6*k**4 - 7/2*k**2 + 0*k**3 - 2*k. Differentiate b(x) wrt x.
-4*x
Let u(k) be the second derivative of -k**4/12 - 4*k**3 + 353*k**2/2 + 5*k + 23. What is the derivative of u(i) wrt i?
-2*i - 24
Let d(u) = 20*u**4 + 3*u**3 - 38*u**2 - 3. Let w(n) = n**2 + 1 + n**4 + n**4 - n**3 - n**4. Let s(r) = -d(r) - 3*w(r). Find the third derivative of s(h) wrt h.
-552*h
Let y(k) be the second derivative of 223*k**3/3 + 177*k**2/2 + 38*k + 3. Differentiate y(p) with respect to p.
446
Let n(l) = 9*l**3 - l**2. Let r be n(-1). Let d = 120 - r. What is the first derivative of 2 - w**2 + 130*w - d*w wrt w?
-2*w
Let p(c) = 3*c**2 - 12*c. Let k be p(6). What is the first derivative of 19 - 36*t**3 - 15*t**4 + t**2 + k*t**3 + 3*t**4 wrt t?
-48*t**3 + 2*t
Suppose -3*n - 39 = -45. Find the second derivative of n*s**3 + 19*s**3 - 18*s**3 - 34*s wrt s.
18*s
Suppose -18 = 2*w - 10. Let o(i) = 3*i**3 - 3*i - 24. Let k(c) = c**4 + 4*c**3 - 2*c - 25. Let u(b) = w*o(b) + 3*k(b). Differentiate u(f) with respect to f.
12*f**3 + 6
Let k(c) = 9*c**2 + 8*c + 261. Let y(f) = 6*f**2 + 5*f + 174. Let v(o) = 5*k(o) - 7*y(o). Find the first derivative of v(b