4 - 51 + 12*x**4 + 110 + 4*x**4 + 15*x**3 + 105 wrt x?
16*x**3 + 45*x**2
Let l(t) be the third derivative of -311*t**6/60 + 367*t**4/24 - 31*t**2 - 6. Find the second derivative of l(p) wrt p.
-3732*p
Let o = -17 - -28. Let p = o - 8. Find the third derivative of -p*k**2 + 10*k**3 + k**5 - 10*k**3 wrt k.
60*k**2
Suppose 75 - 47 = 7*y. Find the third derivative of -7*l**4 + 40*l**y + 8*l**4 - 24*l**2 - 5*l**2 wrt l.
984*l
Find the third derivative of -6*g**3 - 9*g**4 + 71*g**2 - 22*g**3 + 28*g**3 - 3*g**5 wrt g.
-180*g**2 - 216*g
Let f = -3 - -12. What is the third derivative of -f*p**2 + 7*p**2 - 4*p**2 - 6*p**5 - 3*p**5 wrt p?
-540*p**2
Let d(u) = 4*u**3 - 697*u**2 + 1186*u - 7. Let x(c) = -2*c**3 + 348*c**2 - 592*c + 3. Let i(l) = -3*d(l) - 7*x(l). Find the second derivative of i(a) wrt a.
12*a - 690
Let v(k) be the second derivative of -155*k**7/42 - 2*k**3/3 - k**2/2 + 13*k - 3. Find the second derivative of v(w) wrt w.
-3100*w**3
Let d be (-3)/12 - (-11)/(-4). Let i = d - -7. Find the second derivative of -3*v + v - v**4 + 2*v**i wrt v.
12*v**2
Let k(c) be the second derivative of 5*c**7/21 + c**6/30 + 56*c**4/3 - 246*c. What is the third derivative of k(q) wrt q?
600*q**2 + 24*q
Suppose 0 = i + 18*i - 76. Let n(x) be the second derivative of 1/3*x**4 + 1/20*x**5 + 0*x**2 + 0*x**3 - i*x + 0. Find the third derivative of n(j) wrt j.
6
Let f(j) be the second derivative of 19*j**7/14 - 37*j**4/6 - 19*j. Find the third derivative of f(x) wrt x.
3420*x**2
Let d(j) be the first derivative of 33*j**4 + 50*j**3 - 60. What is the third derivative of d(u) wrt u?
792
Let s(i) be the second derivative of 99*i**5/20 - 35*i**2 - 32*i - 1. Differentiate s(d) wrt d.
297*d**2
Let s(w) = -w**2 - 4*w + 5. Let y = -31 + 27. Let m be s(y). Differentiate 7*a + m*a - 4*a + 5*a - 8 with respect to a.
13
Let v(u) be the third derivative of -11*u**7/70 - 17*u**5/12 + 40*u**2. Find the third derivative of v(h) wrt h.
-792*h
Let p(z) be the second derivative of -3*z**6/10 - z**5/10 - z**4/6 + z**2 - 27*z. Find the third derivative of p(a) wrt a.
-216*a - 12
What is the second derivative of -9*f**4 - 8*f**4 - 2*f**4 - 121*f + 2*f**3 wrt f?
-228*f**2 + 12*f
Let z be (12/8)/(3/4). Suppose -4*o = 4*d - 2*o - 24, z*o + 8 = 4*d. Find the first derivative of 3 - 6*x**4 - 8*x**4 + 19*x**d wrt x.
20*x**3
Let w = -39 + 47. Find the first derivative of -10 + 1 - 20*i - w wrt i.
-20
Let r(f) = -162*f**3 + 28*f - 17. Let v(j) = 54*j**3 - 9*j + 6. Let l(o) = -2*r(o) - 7*v(o). What is the second derivative of l(b) wrt b?
-324*b
Let l(n) be the second derivative of 21*n**3/2 - 19*n**2 + 86*n. What is the derivative of l(c) wrt c?
63
Suppose -25 = -4*i + 5*j, 0*j + 25 = i - 5*j. Find the third derivative of -4*o**2 - 2*o**2 - o**4 + i*o**4 - 5*o**4 wrt o.
-144*o
Let b(h) be the first derivative of 129*h**5 - 548*h + 734. What is the derivative of b(d) wrt d?
2580*d**3
Suppose 8 = -3*q - 1. Let r(i) = -17*i**3 - 5*i - 2. Let g(k) = 9*k**3 + 3*k + 1. Let h(a) = q*r(a) - 5*g(a). What is the first derivative of h(s) wrt s?
18*s**2
What is the third derivative of -7817*a**3 - 2*a**2 - 213*a**5 + 7817*a**3 + 10*a + 18*a wrt a?
-12780*a**2
Let k = -159 - -479/3. Let n(t) be the first derivative of -k*t**3 + 3 + 0*t**2 - t. What is the derivative of n(l) wrt l?
-4*l
Let s be 2*(-1 + (-15)/(-10)). Suppose -5*m = 0, b - 2*m - 3 + s = 0. What is the third derivative of 3*j**b - 14*j**2 + 3*j**3 - 4 + 4 wrt j?
18
Differentiate 0*r**2 - 4857 + r**2 + r**2 + 4237 - 353*r**3 wrt r.
-1059*r**2 + 4*r
Find the third derivative of q**3 + 2937 + 2*q**2 - 2953 + 2*q**4 + 16*q**3 wrt q.
48*q + 102
Differentiate -42811*z**3 + 42811*z**3 - 138*z**4 - 2 - 1 wrt z.
-552*z**3
Let t(u) be the third derivative of 259*u**6/120 + 149*u**5/60 + 197*u**2. What is the third derivative of t(r) wrt r?
1554
Suppose -3*c + 2*l - 4*l = -60, 0 = -4*l. Find the second derivative of -2*b + c*b**2 - 7*b - 12*b wrt b.
40
Let i(x) = 88*x**4 - 5*x**3 - 5*x - 114. Let p(c) = -c**4 + c**3 + c + 1. Let o(v) = -i(v) - 5*p(v). What is the derivative of o(r) wrt r?
-332*r**3
Let p(r) be the second derivative of -115*r**7/14 - 4*r**3/3 + 3*r**2 + 2*r + 7. Find the second derivative of p(c) wrt c.
-6900*c**3
Let o(r) = -330*r**2 + 2*r - 49. Let u(a) = 2*a**2 - a + 1. Let v(m) = o(m) + 2*u(m). Find the first derivative of v(s) wrt s.
-652*s
Let f(r) be the second derivative of 0*r**4 + 6*r + 0*r**3 - 2*r**2 - 13/20*r**5 + 0. What is the first derivative of f(n) wrt n?
-39*n**2
Let u(s) = -124*s**3 + 114*s - 6. Let k(a) = -247*a**3 + 229*a - 13. Let t(z) = -6*k(z) + 13*u(z). Find the second derivative of t(g) wrt g.
-780*g
What is the second derivative of -8*w - 32*w - 21*w - 42*w**2 - 2 wrt w?
-84
Let g(b) be the second derivative of 7/4*b**5 + 0*b**3 + 0 - 7*b**2 + 27*b + 0*b**4. Find the first derivative of g(h) wrt h.
105*h**2
Let p = -467 - -467. Let q(s) be the second derivative of -1/2*s**4 + 0*s**3 + 0 - 1/4*s**5 + p*s**2 + 5*s. Find the third derivative of q(c) wrt c.
-30
Let v(h) be the first derivative of -15 + 0*h - 8/3*h**3 - 11/2*h**4 + 0*h**2. Find the third derivative of v(p) wrt p.
-132
Let m(u) = u - 12. Let z be m(12). Suppose 3*q = 5*p + 1283, 5*q + 3*p = -z*p + 2127. What is the second derivative of 2*c**4 + 426 - q - 3*c wrt c?
24*c**2
Let c be 6 + -7 + 3 + (4 - 2). Let l(o) be the second derivative of c*o + 3/2*o**2 + 0 + 1/6*o**3. What is the first derivative of l(j) wrt j?
1
Let t = -5 + -1. Let a = -4 - t. Find the first derivative of -1 + 2 - a*g + g + 2 wrt g.
-1
Let h(p) be the third derivative of 263*p**6/60 - 71*p**5/15 - 14*p**2 + 4*p. Find the third derivative of h(y) wrt y.
3156
Let n = 15 - -21. Suppose -5*j + 5*p + n = p, 5*j - 8 = -3*p. Find the second derivative of -j*q - 14*q**3 - q + 6*q wrt q.
-84*q
Let g(r) = -r**3 + 7*r**2 + 7*r. Let x be g(7). Find the third derivative of -13*a**5 + 21*a**2 - x*a**2 + 23*a**2 wrt a.
-780*a**2
Let q be 36/(-24) + (-22)/(-4). Let n be 7/28 - (-7)/q. Find the third derivative of 0*c**6 + 2*c**2 + c**n + 3*c**6 - c**2 wrt c.
360*c**3
Let o(c) be the third derivative of 0 - 1/60*c**5 - 10*c + 2*c**2 - 8/3*c**3 + 1/120*c**6 + 0*c**4. What is the first derivative of o(a) wrt a?
3*a**2 - 2*a
Suppose -96*z + 90*z = -24. Let u(w) = -5*w + 1. Let y be u(-1). What is the second derivative of -5*h**3 - z*h - y*h + 3*h + 2*h wrt h?
-30*h
Suppose o + o - 8 = 0. Let b be o/(-20) - 36/(-5). What is the third derivative of b*s**2 - s**3 - 198*s + 198*s wrt s?
-6
Let c be (498/(-24))/(2/(-8)). What is the second derivative of c*s + 3 - 58*s - 11*s**2 - 3 wrt s?
-22
Let c(y) = y**6 - 1. Let d(s) be the first derivative of -31*s**7/7 - 47*s**3/3 - 5*s - 5. Let u(q) = 5*c(q) - d(q). Find the third derivative of u(h) wrt h.
4320*h**3
Let h = 77 + -36. What is the derivative of 25*n**2 + h - 4*n**2 - 3*n**2 + 12*n**2 wrt n?
60*n
Suppose 0 = 3*v - 8*f + 4*f - 10, v - 5*f - 7 = 0. Find the third derivative of 36*b**2 - 21*b**2 - 21*b**v + b**4 wrt b.
24*b
Let y = 104 - 98. What is the third derivative of -11*n**2 - 19*n**3 - 2*n**3 + y*n**3 wrt n?
-90
Suppose 2*v = 8 - 2, -2*j + v = -3. Let k be (j - 18/(-3)) + -3. What is the first derivative of -7 + k + 3 + 5*r**3 wrt r?
15*r**2
What is the first derivative of -18*z**2 - 620 + 1323 - 444 + 2*z**2 wrt z?
-32*z
Find the third derivative of 38*g**3 - 126*g**3 + 3*g**2 + 40*g**3 + 49*g**3 + 2*g**5 wrt g.
120*g**2 + 6
Let x(s) be the second derivative of 0 + 2*s + 0*s**4 - 1/20*s**5 + 0*s**2 + 7/6*s**3. What is the second derivative of x(a) wrt a?
-6*a
Let f(k) be the third derivative of -41*k**8/336 + k**6/40 + 4*k**4/3 - k**2 + 39*k. What is the second derivative of f(p) wrt p?
-820*p**3 + 18*p
Let i = 45 + -45. Let u(o) be the second derivative of i - 12*o + 0*o**3 + 2*o**2 + 1/4*o**4. What is the first derivative of u(n) wrt n?
6*n
Let a(x) = -41*x + 23. Let u(s) = -40*s + 23. Let t = -84 - -81. Let z(w) = t*a(w) + 2*u(w). What is the first derivative of z(p) wrt p?
43
Let u(p) be the second derivative of -11/6*p**3 + 0 - 22*p + 0*p**2 - 3/2*p**4. Find the second derivative of u(r) wrt r.
-36
What is the third derivative of 0 + 2*k**3 - 202*k**2 - 21*k**4 + 173*k**2 + 5 + 5*k**4 wrt k?
-384*k + 12
Suppose 0 = -a + 6. Let l be a/(-