Find the third derivative of -2*w**2 - o*w**2 + 5*w**2 + 4*w**6 wrt w.
480*w**3
Let q(k) be the second derivative of 5*k**5 + k**3/3 - 421*k**2/2 - 5*k + 15. What is the first derivative of q(i) wrt i?
300*i**2 + 2
Let v(n) = 5*n**2 + 156*n + 48. Let b(x) = -2*x**2 - x + 1. Let c(j) = -3*b(j) - v(j). Differentiate c(s) with respect to s.
2*s - 153
Let d(v) be the first derivative of -54*v**5 + 2*v**2 - 37*v + 249. Find the second derivative of d(u) wrt u.
-3240*u**2
Let d(r) be the second derivative of 0 - 35*r + 0*r**2 + 7/4*r**4 - 8/3*r**3. Find the second derivative of d(l) wrt l.
42
Let m be ((-112)/(-98))/((-4)/(-14)). Differentiate -6*u - 11 + m + 1 + 2 with respect to u.
-6
Find the third derivative of 23*x**2 - 2 + 2*x**4 + 107*x**3 + 5*x**2 + 6*x**2 + x**2 wrt x.
48*x + 642
Let q(m) = 11*m + 13. Let w be (-2)/(-4)*(-9 - -9). Let h(x) = w*x + 6 + 0*x + 5*x. Let k(b) = -7*h(b) + 3*q(b). Differentiate k(n) with respect to n.
-2
Let j(h) = 976*h - 154. Let t(a) = 490*a - 77. Let d(z) = -4*j(z) + 7*t(z). What is the first derivative of d(x) wrt x?
-474
Let j = 171 + -166. Let f(g) be the first derivative of 1/3*g**6 + 0*g**3 + 0*g**j - 1/2*g**2 + 6 + 0*g + 0*g**4. Find the second derivative of f(y) wrt y.
40*y**3
What is the third derivative of -4637*s**4 - 315*s**2 + 2300*s**4 + 2606*s**4 wrt s?
6456*s
Let r(s) = s**3 - 5*s**2 - 5*s - 1. Let p be (1 + -5)*18/(-12). Let h be r(p). Find the second derivative of 6 - 6 - 4*m**h + m + m wrt m.
-80*m**3
Let v(r) be the second derivative of -r**6 + 1/6*r**3 - 9*r**2 - r + 0*r**4 + 0*r**5 + 2. Find the second derivative of v(p) wrt p.
-360*p**2
Suppose 24*c = 34*c - 230. Differentiate -c - 14 - 10*q + 3*q - 12*q wrt q.
-19
Suppose 15*b - 73 = 2. Let j(n) be the third derivative of 0*n + 7/60*n**b + 0*n**3 - 5/24*n**4 - n**2 + 0. Find the second derivative of j(s) wrt s.
14
Let p(o) be the first derivative of -59*o**4/2 - 13*o**3 + 163. Find the third derivative of p(v) wrt v.
-708
Suppose n + 20 = 5*n - 4*j, j = -n - 1. Suppose -q - n = -2*q. What is the third derivative of 0*h**5 + h**5 + h**5 - 2*h**q - h**2 wrt h?
120*h**2
Let a(v) = -v**4 - 2*v**3 - v. Let x(i) = i**4 + 15*i**3 - 489*i**2 + 5*i. Let t(p) = 5*a(p) + x(p). Find the third derivative of t(h) wrt h.
-96*h + 30
Let l(m) = -2*m**3 + 151*m**2 + 3*m + 85. Let a(h) = -3*h**3 + 147*h**2 + 4*h + 84. Let q(i) = 3*a(i) - 4*l(i). What is the first derivative of q(n) wrt n?
-3*n**2 - 326*n
Let v(l) be the first derivative of 57*l**2/2 + 233*l + 98. Differentiate v(y) with respect to y.
57
Let z(d) be the third derivative of -167*d**6/120 - d**5/60 - 61*d**4/4 - 5*d**2 - d. What is the second derivative of z(y) wrt y?
-1002*y - 2
Let v(y) be the third derivative of 103*y**5/60 + 619*y**3/6 + 3*y**2 + 61. What is the first derivative of v(u) wrt u?
206*u
Suppose 0*u = l + 4*u - 6, -l + 9 = 3*u. What is the third derivative of l*t**2 + 6*t**5 - 7*t**5 - 6*t**5 wrt t?
-420*t**2
Let c = -43 + 48. Let h(f) = 2*f**2 - 21*f + 6. Let z(g) = -3*g**2 + 20*g - 5. Let p(u) = c*h(u) + 6*z(u). What is the second derivative of p(b) wrt b?
-16
Suppose 0 = 16*v - 12*v. Suppose v = -5*l + 9*s - 4*s + 30, 2*l - 17 = s. Find the third derivative of -6 - 7*q**5 - l*q**2 + 6 - q**5 wrt q.
-480*q**2
Let s(w) be the third derivative of 9*w**5/4 + 14*w**4/3 + 131*w**2. Find the second derivative of s(k) wrt k.
270
Let u(o) be the third derivative of 1/3*o**3 - 7/15*o**5 + 0 - 5*o**2 + 0*o + 7/20*o**6 + 0*o**4. What is the third derivative of u(a) wrt a?
252
Find the second derivative of 107*f**4 - 4*f**3 - 85*f - 950*f**4 + 4*f**3 - 104*f**4 wrt f.
-11364*f**2
What is the first derivative of 10*d**4 + 9*d**4 - d**2 - 88 - 21*d**4 - 64*d**4 wrt d?
-264*d**3 - 2*d
Let x = 95 + -90. What is the third derivative of x*l**6 + 5*l**6 - 297*l**2 - 4*l**6 + 319*l**2 wrt l?
720*l**3
Find the second derivative of 897 - 449 - 490*b**5 - 115*b + 13*b - 446 + 15*b wrt b.
-9800*b**3
Find the third derivative of -220*w + 85*w**5 + 110*w - w**4 + 0*w**4 + w**4 + 2*w**2 wrt w.
5100*w**2
Let n = 153 + -148. Find the third derivative of 0*m**n - 7*m - 2*m**2 - m**2 + 42*m**5 wrt m.
2520*m**2
Let v(d) = d**3 + 2*d**2 + d. Let m(n) = -13*n**4 + n**3 - n**2 + 435*n. Let u(j) = -m(j) + v(j). What is the second derivative of u(p) wrt p?
156*p**2 + 6
Let q(h) be the second derivative of 0*h**5 - 2*h + 0*h**2 - 11/14*h**7 + 0 - 13/3*h**3 + 0*h**4 + 0*h**6. What is the second derivative of q(i) wrt i?
-660*i**3
Find the third derivative of 28 - 2*i**2 + 78*i**6 - i**2 + 23*i**5 - 23*i**5 wrt i.
9360*i**3
Let o(s) be the first derivative of 5*s**3/3 + s**2 - 8*s - 8. What is the derivative of o(b) wrt b?
10*b + 2
Let k = 17 + -14. What is the third derivative of 9*v**2 - 41*v**2 - k*v**5 + 12*v**2 wrt v?
-180*v**2
Let p = 7 - 4. Suppose 5*a - 2*w = 83, p*w + 64 = 4*a - w. What is the first derivative of a - c - 11 - 1 - c wrt c?
-2
Let h(i) be the second derivative of 23*i**4/4 + 53*i**2/2 + 17*i. What is the derivative of h(b) wrt b?
138*b
What is the third derivative of -v**4 - 42*v**6 + 0 + 39*v**2 + 15*v**6 - 3 + 1 wrt v?
-3240*v**3 - 24*v
Let h(p) be the second derivative of -71*p**7/21 + 155*p**4/3 + 190*p - 2. Find the third derivative of h(l) wrt l.
-8520*l**2
What is the second derivative of -190 + 4*n + 153*n**3 + 162 + 2*n + 133*n**3 wrt n?
1716*n
Let a(c) = 157*c - 143. Let r(w) = -2*w + 1. Let h(q) = -a(q) - 2*r(q). What is the first derivative of h(k) wrt k?
-153
Suppose 2*f - 5 = f. Suppose 0 = 2*g - 4*s, 4 = -2*g - 5*s + 13. What is the third derivative of -1 + 4*r**4 - 8*r**2 + 1 + f*r**g wrt r?
96*r
Let b(p) = -p**2 - 26*p + 29. Let l be b(-26). What is the second derivative of l*d**4 - 16*d - d**4 - 26*d + 17*d**4 wrt d?
540*d**2
Let w = -1368 - -1368. Let i(v) be the first derivative of 1/4*v**4 + 1/3*v**3 + 0*v**2 - 6 + w*v. What is the third derivative of i(g) wrt g?
6
Let p(y) be the second derivative of 391*y**7/42 - 137*y**4/6 + 411*y. Find the third derivative of p(z) wrt z.
23460*z**2
What is the derivative of -189 + 455 + 17*b**3 - 97*b**3 wrt b?
-240*b**2
Let h(w) = 8*w**2 - 35*w - 627. Let s(m) = 9*m**2 - 38*m - 626. Let v(t) = -4*h(t) + 3*s(t). Differentiate v(d) with respect to d.
-10*d + 26
What is the third derivative of 43*n**4 - 16*n**2 + 48*n**4 + 57*n**5 - 91*n**4 wrt n?
3420*n**2
Find the first derivative of 18*p - 90*p - 4*p - 51*p - 117 wrt p.
-127
Let k(j) = -332*j**3 + 64*j - 8. Let p(z) = -221*z**3 + 43*z - 5. Let i(b) = -5*k(b) + 8*p(b). What is the second derivative of i(g) wrt g?
-648*g
Let f(m) be the first derivative of -19*m**6/6 - 26*m**3/3 + 5*m**2/2 + 225. What is the third derivative of f(i) wrt i?
-1140*i**2
Let u(d) be the second derivative of 7/10*d**6 + 0*d**5 + 0 + 1/2*d**2 + 0*d**4 - 25*d + 0*d**3. Differentiate u(m) wrt m.
84*m**3
Let f be (1 - -3)*66/24. What is the third derivative of -5*l**2 - 10*l**2 + 12*l**5 + f*l**2 - 2*l**2 wrt l?
720*l**2
Let p be (-66)/(-22) + 35/(-21). Let u(d) be the first derivative of 0*d**2 + 0*d**4 - 13/5*d**5 + p*d**3 + 4 + 0*d. Find the third derivative of u(h) wrt h.
-312*h
What is the third derivative of -3*p**4 - 81*p**3 - 123 - 7*p + 241 + 7*p**2 - 118 wrt p?
-72*p - 486
Let k = 26 - -6. Find the first derivative of -w**2 + 31*w - 63*w + 9 + k*w wrt w.
-2*w
Let b(k) = 51*k**6 - 18*k**4 + 102*k**2 + 18. Let h(r) = r**6 - r**4 - r**2 + 1. Let p(f) = b(f) - 18*h(f). Find the third derivative of p(d) wrt d.
3960*d**3
What is the second derivative of -3*s**2 + 4*s - 2*s - 29*s**3 + 6*s + 4*s**2 wrt s?
-174*s + 2
Let p(x) = 695*x**3 + 12*x**2 + 12*x - 296. Let i(o) = 2087*o**3 + 34*o**2 + 34*o - 888. Let h(t) = -6*i(t) + 17*p(t). What is the derivative of h(g) wrt g?
-2121*g**2
Suppose n - 2 - 3 = 0. Let z(k) be the first derivative of -5*k**5 - 3*k**2 - n + 10*k**5 + 2*k**2 - 4*k**5. Find the second derivative of z(x) wrt x.
60*x**2
Let w(h) be the second derivative of 0*h**3 + 0 + 0*h**2 + 14*h + 11/12*h**4 + 0*h**5 + 13/10*h**6. What is the third derivative of w(v) wrt v?
936*v
Let p(r) be the second derivative of 2*r**4 + 1/6*r**3 + 0*r**2 + 17 + 1/2*r**5 + r. What is the third derivative of p(f) wrt f?
60
Let k be (2/(-4))/(8/(-48)). Differentiate -k + 9 + 4*a**4 + 7 wrt a.
16*a**3
Let b(p) be