20 + o**4/8 - 3*o**3/2 - 19*o**2. Let a(n) be the first derivative of l(n). Find the first derivative of a(f) wrt f.
6
What is the derivative of -8437*x**3 - 10 - 13 + 8503*x**3 wrt x?
198*x**2
Let s(w) = w**3 - 4*w**2 + w + 1. Let d be s(4). Find the second derivative of 4*k - 13*k**5 + k**d - 11*k wrt k.
-240*k**3
Let l = 1 + 18. What is the first derivative of -6*o**3 + 12*o**3 - 2 - 1 + l*o**3 wrt o?
75*o**2
Suppose -5*z = -17 + 2. Find the first derivative of 13 + z*v**3 + 4*v + 3*v - 7*v wrt v.
9*v**2
Let h(m) be the first derivative of -1/2*m**2 + 8 - 3*m. What is the derivative of h(k) wrt k?
-1
Let a(r) = -7*r**2 - 8*r - 116. Let i(g) = -23*g**2 - 24*g - 347. Let o(u) = -7*a(u) + 2*i(u). What is the first derivative of o(b) wrt b?
6*b + 8
Let d be (-3)/15 + 32/10. Find the second derivative of -7*p + 0*p + 0*p**5 + 4*p - d*p**5 wrt p.
-60*p**3
Let r(h) be the second derivative of 16*h**6/3 - 2*h**3/3 + 2*h**2 - 121*h. Find the second derivative of r(m) wrt m.
1920*m**2
Let l(p) be the first derivative of -32*p**2 + 247*p - 475. Differentiate l(i) with respect to i.
-64
Let m be (-16)/(-3) + (6 - (-38)/(-6)). Find the second derivative of -10*f**5 + 0*f**5 - 14*f**m - 30*f - 10*f**5 wrt f.
-680*f**3
Let y = 16 + -23. Let x = y + 13. Find the third derivative of -x*b**6 + b**6 + b**2 - 2*b**2 + 4*b**6 wrt b.
-120*b**3
Let n be (9*(-8)/12)/(5 + -9). Let p(a) be the first derivative of -5/3*a**3 + 0*a - n*a**2 - 1. What is the second derivative of p(s) wrt s?
-10
Let b = 74 + -53. Differentiate 1 + 6 - b*s**3 - 2 wrt s.
-63*s**2
Let f(w) be the first derivative of -w**5/4 - 3*w**3/2 + 9*w**2/2 + 12. Let n(s) be the second derivative of f(s). Find the first derivative of n(a) wrt a.
-30*a
What is the second derivative of -127*n + 145*n**2 - 49*n - 413*n**2 wrt n?
-536
Let g(w) be the third derivative of -41*w**8/112 - w**4/24 + 151*w**3/6 - 9*w**2. Find the second derivative of g(t) wrt t.
-2460*t**3
Let r(b) = b**3 - b**2 - b - 1. Let y(j) = 97*j**3 + 14*j**2 + 4*j + 3. Let d(f) = -3*r(f) - y(f). Find the third derivative of d(u) wrt u.
-600
Let f(a) = -858*a**4 + 5*a**2 - 5*a + 388. Let y(x) = 1287*x**4 - 7*x**2 + 7*x - 583. Let c(s) = 7*f(s) + 5*y(s). What is the first derivative of c(k) wrt k?
1716*k**3
Suppose -7 = n - 2*p + 1, 5 = 5*n - p. What is the third derivative of 2*r**4 + 13*r**n + 19*r**4 - 26*r**2 wrt r?
504*r
What is the first derivative of -9*v + v**4 + 0*v + 160 + 7*v wrt v?
4*v**3 - 2
What is the derivative of -132 - 2*d**3 - 27*d**4 - 3*d**3 - 9*d**3 + 29*d**4 - d**3 wrt d?
8*d**3 - 45*d**2
Let i(n) be the first derivative of -74*n**5/5 - n**4/2 - 241*n - 16. Differentiate i(l) wrt l.
-296*l**3 - 6*l**2
What is the first derivative of 70 - 10*x**3 - 49 + 152 wrt x?
-30*x**2
Let p(m) be the third derivative of -m**6/60 - m**5/12 + 649*m**4/24 + 7*m**2 - 5. What is the second derivative of p(y) wrt y?
-12*y - 10
Let p(s) be the second derivative of -6*s**5/5 + s**4/6 - 5*s**2/2 - 8*s + 1. What is the third derivative of p(d) wrt d?
-144
Let c(g) be the second derivative of g**5 - g**4/12 - 31*g**3/2 - 25*g. Find the second derivative of c(p) wrt p.
120*p - 2
Let c = 60 - -63. Suppose z = h - 2*z - 39, 3*z + c = 3*h. Find the third derivative of -22*i**6 + i**2 + h*i**6 - 17*i**6 wrt i.
360*i**3
Suppose 2*w + 3*z = -201, 2*w + 5*z + 335 = 132. Let h = w + 205. What is the first derivative of h*m - 9 + 6*m**2 - 106*m wrt m?
12*m
Let b = -30 + 30. Let x(o) be the second derivative of -1/12*o**4 + b*o**2 - o + 0*o**3 + 0 + 1/20*o**5. What is the third derivative of x(c) wrt c?
6
Let f(s) = -56*s**3 - s**2 + 2*s. Let i(d) = -d. Let q(g) = -f(g) - 2*i(g). Find the third derivative of q(a) wrt a.
336
Suppose -5*y + 25 = 3*b + 7, -5*b + 5 = 0. Suppose 14 = y*f - w, 0*w - 2*w = 5*f - 16. Find the second derivative of 0*s + s + 4*s**f + s**4 + 0*s wrt s.
60*s**2
Let f(v) = -v**3 + v**2 + v - 1. Let d(b) = -113*b**3 - 32*b**2 - 5*b + 5. Let w(z) = -d(z) - 5*f(z). What is the third derivative of w(j) wrt j?
708
What is the third derivative of -3*o**3 + 29906*o**2 + 6*o**3 - 30059*o**2 wrt o?
18
Find the first derivative of -50*u**3 + 11*u**3 - 422 + 10*u**3 + 11*u**3 + 4*u**2 + 7*u**3 wrt u.
-33*u**2 + 8*u
Let y(h) be the third derivative of 19*h**6/20 - 89*h**4/24 + 5*h**2 - 7. Find the second derivative of y(x) wrt x.
684*x
Let y(f) be the second derivative of 7/3*f**3 + 13*f + 0*f**2 + 5/6*f**4 + 0. Find the second derivative of y(x) wrt x.
20
Let d(x) = -x**4 + x**3 - 2*x**2 + x. Let u(w) = 5*w**4 - 12*w**3 + 147*w**2 - 3*w. Let z(j) = 3*d(j) + u(j). What is the third derivative of z(n) wrt n?
48*n - 54
Let m(l) = -5*l - 18. Let j be m(-4). Find the third derivative of 3*s**2 - 5*s**6 - 3*s**2 + 9*s**j wrt s.
-600*s**3
Let x(g) = g**3 - 3*g**2 - 3*g - 2. Let r be x(4). Find the first derivative of 1 + 0 + 0 - 6*v**r + 0 wrt v.
-12*v
Let r be (-1)/(-2)*2*-2. Let o = 2 - r. Find the first derivative of -21*i**4 - 13 + 12*i**4 + 10*i**o wrt i.
4*i**3
Let k(u) be the first derivative of -327*u**5/5 - 160*u**2 - 302. What is the second derivative of k(r) wrt r?
-3924*r**2
Let a be (-72)/(-20) - 6/10. What is the third derivative of -11*g**2 - 166*g + 6*g**a + 166*g wrt g?
36
Let r(l) = 13*l**2. Let q(z) = 52*z + 66*z**2 - 52*z - 5 + 4. Let g(s) = 6*q(s) - 33*r(s). Differentiate g(d) with respect to d.
-66*d
Let l(o) = 3*o - 2. Let q be l(-3). Let m = 16 + q. What is the second derivative of -3*i**5 + i + 3*i**5 + 4*i**m wrt i?
80*i**3
Differentiate -37 + 17*t**3 + 220 + 378 - 22*t**3 + 42*t wrt t.
-15*t**2 + 42
Let d(l) = -l**4 - 2*l**3 - l. Let n(t) = -2*t**4 - 13*t**3 + 3*t**2 - 12*t. Let f(m) = 5*d(m) - n(m). Find the third derivative of f(z) wrt z.
-72*z + 18
Let m(c) be the second derivative of 0*c**4 + 25/2*c**2 + 0*c**5 - 3/10*c**6 + 20*c + 0 + 0*c**3. What is the first derivative of m(d) wrt d?
-36*d**3
Differentiate -2*x**3 + 9*x**3 + 5*x**4 + 21 + 2*x**3 with respect to x.
20*x**3 + 27*x**2
Find the third derivative of 29*i**3 - i - 284*i**2 - 35*i**3 + i wrt i.
-36
Suppose -2*g - 55 = -7*g. Let z be ((-6)/4)/((-5)/20). Find the second derivative of -m**2 + 3*m**2 - z*m + g*m wrt m.
4
Let c(a) = -9*a**3 + 235*a**2 - 8*a + 28. Let m(p) = 7*p**3 - 236*p**2 + 8*p - 30. Let s(i) = 3*c(i) + 4*m(i). Find the second derivative of s(k) wrt k.
6*k - 478
Let w(a) be the second derivative of 11*a**7/42 + 3*a**4/4 + 18*a**3 - 33*a. Find the second derivative of w(u) wrt u.
220*u**3 + 18
Let g(o) = o**2 - 12*o + 2. Let j be g(12). Differentiate 3*r**4 - j*r**4 - 17 - r**4 - r**4 with respect to r.
-4*r**3
Let k(b) = 10*b**3 + 15*b - 12. Let d(a) = a**3 + a - 1. Let r(z) = 18*d(z) - 2*k(z). Let v(i) be the first derivative of r(i). Differentiate v(g) wrt g.
-12*g
Let i(k) = k - 5. Let a be i(10). What is the first derivative of 6*g**3 + 31 - a*g**4 - 4*g**3 + 17 + 1 wrt g?
-20*g**3 + 6*g**2
Let j(r) = -r**2 + 6*r + 6. Let g be j(-3). Let f be (g/(-12))/((-6)/(-24)). Find the second derivative of 9*k - 6*k**2 + f*k - 8*k wrt k.
-12
Let d(y) be the third derivative of -48*y**2 + 0*y**3 + 1/4*y**5 + 7/60*y**6 + 0*y**4 + 0*y + 0. Find the third derivative of d(k) wrt k.
84
Let q = -873 - -873. Let h(l) be the second derivative of 8*l + 0*l**3 + q*l**5 + 0*l**4 + 0 + 1/15*l**6 - 5/2*l**2. What is the derivative of h(s) wrt s?
8*s**3
Let z be (-2 + 3)*(7 + -5). Suppose -4*l + z = -26. Find the second derivative of 6*m + l*m + 6*m**2 - 5*m wrt m.
12
Let n = -16 + 19. Suppose 15 = n*k - 0*k. What is the second derivative of -x + 7*x + 10*x**2 + 0*x - k*x wrt x?
20
Let a(f) be the first derivative of f**7/60 - 7*f**6/360 - 17*f**3/3 + 7. Let u(h) be the third derivative of a(h). Find the third derivative of u(g) wrt g.
84
Differentiate 10*r**4 - 25*r**4 - 26*r**4 + r**3 + 56 - 16*r**4 wrt r.
-228*r**3 + 3*r**2
Let l(y) be the second derivative of y**5/2 + y**4/4 + 23*y**2 - 218*y. What is the first derivative of l(t) wrt t?
30*t**2 + 6*t
Let m(f) be the third derivative of -59*f**8/112 + 11*f**4/12 + f**3 + 221*f**2. Find the second derivative of m(d) wrt d.
-3540*d**3
Let i(c) be the first derivative of -5*c**4/2 + 32*c**3/3 - 153*c**2/2 - 2*c + 650. Find the second derivative of i(d) wrt d.
-60*d + 64
Let p(x) be the first derivative of -1