- 6. Let l be k(0). Let w be (-101)/(-11) + l/33. Differentiate w*q + 3 - 8*q + q with respect to q.
2
Suppose 5*v - 5*l - 150 = 0, 0*l - 24 = -v - l. What is the second derivative of -4*d - v*d**2 - 13*d**2 - 7*d - 34*d wrt d?
-80
Let f(c) be the third derivative of -41*c**7/105 + 19*c**4/12 - 85*c**2. Find the second derivative of f(k) wrt k.
-984*k**2
Let u(a) = 36*a**2 + 764*a - 610. Let f(j) = -5*j**2 - 109*j + 88. Let q(t) = -15*f(t) - 2*u(t). What is the first derivative of q(s) wrt s?
6*s + 107
Find the second derivative of -19*p**3 - 4*p - 143*p + 23*p**3 + 77*p**3 - 1 wrt p.
486*p
Let q(v) be the first derivative of 37*v**4/2 + v**3 - 19*v**2 + 278. What is the third derivative of q(b) wrt b?
444
Let p(n) be the second derivative of -243*n**5/5 + 134*n**4/3 - 592*n. What is the third derivative of p(f) wrt f?
-5832
Let z(k) = 53*k**5 + 4*k**3 - 3*k**2 - 4*k - 4. Let h(f) = f**5 + f**3 - f + 1. Let v(p) = 4*h(p) - z(p). What is the third derivative of v(g) wrt g?
-2940*g**2
Let s(h) = 62*h**2 + 4*h + 13. Let n(o) = -125*o**2 - 8*o - 27. Let v(m) = -4*n(m) - 9*s(m). What is the second derivative of v(a) wrt a?
-116
Let y(w) be the third derivative of w**6/120 + 3*w**5/4 + 13*w**3/6 - 7*w**2. What is the derivative of y(u) wrt u?
3*u**2 + 90*u
Let h(m) = m**2 + 3. Let x be h(-6). Let n = -31 + x. What is the first derivative of -7*g + n*g + 3*g + 6 wrt g?
4
Let w(x) be the third derivative of -19*x**7/840 + 7*x**4/12 + 25*x**3/6 + x**2. Let g(n) be the first derivative of w(n). What is the derivative of g(l) wrt l?
-57*l**2
Let i(m) be the second derivative of 83*m**6/15 + m**5/20 + 179*m**2/2 - m + 292. Differentiate i(f) wrt f.
664*f**3 + 3*f**2
Let o(k) = -k**2 - 3. Let c(d) = -815*d**2 - 19*d + 21. Let b(h) = -c(h) - 2*o(h). Find the second derivative of b(v) wrt v.
1634
Let r = 59 - 51. Find the second derivative of -r + 5 + 3 - 12*s - 22*s**2 wrt s.
-44
Let u(p) = 3*p**2. Let t(l) = 5*l**2 + 0 + 1 - 5*l**2 - l**2. Let n(s) = 4*t(s) + u(s). Let o(x) = -4. Let c(a) = -4*n(a) - 6*o(a). Differentiate c(w) wrt w.
8*w
Let s(z) be the second derivative of 5/12*z**4 - 11*z**2 + 0 + 0*z**3 - 22*z. Differentiate s(b) wrt b.
10*b
What is the first derivative of 3 - 36*r**4 - 38*r**4 + 40 wrt r?
-296*r**3
Let m(g) be the first derivative of -2/3*g**3 - 12 + 0*g - 19/2*g**2. What is the second derivative of m(d) wrt d?
-4
Let k be (-14)/4*((-16)/(-7))/(-4). Differentiate 8 - 7 - o**k + 4*o**2 - 3 with respect to o.
6*o
Suppose 6*j = 2*j + 3*s + 13, 5*s + 3 = 2*j. Suppose j = -5*u + 19. Find the third derivative of 4*c**6 - 7*c**u + 2*c**6 + 7*c**3 + 2*c**2 wrt c.
720*c**3
What is the second derivative of -24*z + 31*z**2 - 12 - 15 - 32*z + 29 + 7*z wrt z?
62
What is the third derivative of 0*x**2 - x**2 - 84*x**4 - 461*x**4 - 80*x wrt x?
-13080*x
Suppose 0 = -75*n + 71*n + 44. Let h(u) = -15*u - 1. Let p(a) = -46*a - 3. Let y(x) = n*h(x) - 4*p(x). What is the first derivative of y(m) wrt m?
19
Let n be (3 + (-1 - -3))*(-6)/(-15). Suppose 0 = -2*x - 0*x + 6. Differentiate 0 + 1 - x - 3*t**n + 0 with respect to t.
-6*t
Find the second derivative of 48*o**2 + 148*o + 105*o**2 + 198*o**2 + 0 + 0 wrt o.
702
Suppose 2*z - 3 = z - 3*p, 0 = -5*p. Find the third derivative of 12*h**4 - 102*h**3 + 103*h**z - 5*h**2 - 1 + 2*h**2 - h**4 wrt h.
264*h + 6
Let s(v) = -36*v**3 + 41*v. Let p = 4 - -4. Let z(u) = -7*u**3 + p*u + 4 - 5 + 1. Let c(l) = 2*s(l) - 11*z(l). What is the second derivative of c(r) wrt r?
30*r
Find the third derivative of -5*r - 31 + 31 + 7*r**3 - 27*r**3 + 5*r**2 wrt r.
-120
What is the third derivative of 405*p**2 - 133*p**2 + 2*p**6 - 4*p**3 + 8*p**6 wrt p?
1200*p**3 - 24
Let y(q) = q + 11. Let l be y(-4). Differentiate -15 - 18*g + 18*g + l*g**2 wrt g.
14*g
Let v(h) be the second derivative of 0*h**3 + 0*h**2 + 0 - 25/12*h**4 - 1/21*h**7 - 22*h + 0*h**5 + 0*h**6. What is the third derivative of v(l) wrt l?
-120*l**2
Let r(c) be the third derivative of 0*c**4 - 11/6*c**3 - 7/30*c**6 + 0 + 0*c**5 + 0*c + 9*c**2. Differentiate r(d) wrt d.
-84*d**2
Let q(h) be the first derivative of h**6/120 - 5*h**4/8 - 5*h**2 - 15. Let s(f) be the second derivative of q(f). What is the second derivative of s(y) wrt y?
6*y
Let y(z) = -z**3 - 8*z**2 + z + 11. Let b be 6*-2*(-8)/(-12). Let l be y(b). What is the first derivative of l + 6*p - 1 + 6 wrt p?
6
Let w(o) be the second derivative of 3*o**6/2 + 13*o**4/12 + o**2/2 - 8*o - 1. Find the third derivative of w(c) wrt c.
1080*c
Let u(t) = t**3 - 4*t**2 - 5*t + 2. Let z be u(5). What is the third derivative of 8*i**3 + 4*i**3 + 9*i**z - 8*i**3 wrt i?
24
Let y(q) be the third derivative of 85*q**8/336 + q**4/24 - 5*q**3/6 + q**2 + 18. What is the second derivative of y(g) wrt g?
1700*g**3
Let x(y) = 58*y**6 + 43*y**2. Let u(o) = 346*o**6 + 257*o**2. Let g(i) = 6*u(i) - 39*x(i). What is the third derivative of g(b) wrt b?
-22320*b**3
Suppose -p - 12 = -3*b, 4*b - 32 = p - 5*p. Let j = b - 3. Find the first derivative of 4*c**3 - 14*c**j - 5 + 1 + 14*c**2 wrt c.
12*c**2
Let u(j) be the third derivative of 10*j**9/63 - j**5/60 - 13*j**3/3 - 3*j**2 + 6*j. Find the third derivative of u(a) wrt a.
9600*a**3
Let i(r) be the first derivative of -13*r**4/4 - 10*r**3/3 - 493*r - 656. What is the derivative of i(v) wrt v?
-39*v**2 - 20*v
Let p(z) be the first derivative of -5*z**4/4 - 7*z**2/2 + 25*z - 57. What is the derivative of p(f) wrt f?
-15*f**2 - 7
Let p(j) = -j**2 + 8*j - 8. Let k be p(6). Let w be -4*((-14)/k + 2). What is the first derivative of w*h + 0 + 0*h - 2 wrt h?
6
Let a(l) = 9 + l - 8*l - 7. Let h be a(-1). What is the second derivative of 2*s**2 - h*s + 5*s + s**2 wrt s?
6
Let q = 21 + -12. What is the second derivative of 2*c - 8*c + q*c**4 - 18*c + 3*c wrt c?
108*c**2
Suppose 28 = -s + 3*s. Let m be 2 - (-7)/(s/4). Find the first derivative of -1 - 1 + 4 - 5*y**2 - m wrt y.
-10*y
Let f(k) be the second derivative of 189*k**5/20 + 116*k**2 - k + 28. What is the first derivative of f(g) wrt g?
567*g**2
What is the third derivative of -789*b + 0*b**4 + 1591*b - 787*b + 3*b**2 - 856*b**5 + 0*b**4 wrt b?
-51360*b**2
Let v be (-4)/(-26) - (-2)/(-13). Suppose -2*i = h - 8, v = -5*i - 4*h + 22 + 4. Differentiate -5 - 9 + 7 - 3 + i*l**2 wrt l.
4*l
Let b(g) be the third derivative of -31*g**4/6 + 37*g**3/2 - 99*g**2 - 2. What is the derivative of b(d) wrt d?
-124
Let y(m) be the second derivative of 25*m**5/4 - 81*m**2/2 + 82*m. What is the first derivative of y(x) wrt x?
375*x**2
Let m = 6 - 4. Let h be (m - 9/6)*0. Differentiate -o**3 - 2*o**3 + 5 + h*o**3 + o**3 with respect to o.
-6*o**2
Suppose 5*j + 12*j = -5*j. Let c(r) be the third derivative of 0 - 8*r**2 + 1/24*r**4 + 2/3*r**3 + j*r. Differentiate c(p) with respect to p.
1
Let f be 1 + (-7)/(14/(-4)). Suppose 0 = f*y + 4*o - 29, 8 = y - o + 3. What is the derivative of y*i**4 - 6 - 19*i**4 + 6*i**4 wrt i?
-24*i**3
Let m(h) be the second derivative of h**5/20 + 23*h**4/12 - 5*h**3/6 + 3*h**2/2 - 92*h. What is the second derivative of m(l) wrt l?
6*l + 46
Let j(o) = o**2 - 6*o + 1. Let z be j(4). Let k be (-1 - -1)*7/z. Differentiate -5 + k - 5*x**3 - 2*x**3 with respect to x.
-21*x**2
Let p(w) = -97*w - 291. Let d(q) = -q. Let f(r) = 3*d(r) + p(r). Find the first derivative of f(o) wrt o.
-100
Let h = 141 + -130. What is the second derivative of 8*l + h*l**4 - 11*l**4 - 14*l**5 + 0*l wrt l?
-280*l**3
Let w(a) be the third derivative of 5*a**2 + 0*a - 2/3*a**3 + 1/4*a**4 + 0. What is the first derivative of w(j) wrt j?
6
Let a = 2 + 0. Let c be (-4)/(-5 - (4 + (-35)/5)). What is the second derivative of 5*m**c - a*m + 7*m - 13*m**2 wrt m?
-16
Find the second derivative of -9 + 8886*h**5 - 8836*h**5 - h**3 - 22 - h wrt h.
1000*h**3 - 6*h
Find the first derivative of 42 + 190*i**3 - 80 - 104 - 46*i**3 wrt i.
432*i**2
Let m(j) = -21*j**2 - 11. Let g(h) be the second derivative of -7*h**4/2 - 21*h**2/2 - 15*h. Let t(c) = 5*g(c) - 9*m(c). Differentiate t(o) with respect to o.
-42*o
What is the third derivative of -690*k**2 + 621*k**2 - 2*k**3 + 2*k**3 - 29 + 539*k**4 + 30 wrt k?
12936*k
What is the second derivative of -2*h**3 + 13*h**2 + 29*h + 4*h**2 - 18*h**2 wrt h?
-12*h - 2
Let w(r) be the third derivative of -1/60*r**5 + 0*r**3 - 28*r**2 +