680*l**3
Let s(m) be the first derivative of -11*m**6/180 + 7*m**4/24 - 22*m**3/3 + 16. Let b(l) be the third derivative of s(l). Differentiate b(k) with respect to k.
-44*k
Let l(s) = s**4 + s**3 + s**2 - s - 1. Let p(q) = -44*q**4 - q**3 - q**2 - q - 18. Let b(y) = -l(y) - p(y). What is the second derivative of b(o) wrt o?
516*o**2
Let j(f) be the third derivative of 133*f**6/60 + f**5/15 - 2*f**4/3 - 4*f**2 + 1. What is the third derivative of j(n) wrt n?
1596
Differentiate -14*i**2 + 0*i**2 - 6*i**2 + 131 + 115 - 11*i**2 wrt i.
-62*i
Differentiate 2*b**3 + 86*b**2 - 174*b**2 - 20 + 88*b**2 - 19*b with respect to b.
6*b**2 - 19
What is the third derivative of -4*c**4 - 25*c**2 + 122*c**2 + c**5 - 5*c**4 + c**4 + 172*c**2 wrt c?
60*c**2 - 192*c
Let l(u) be the second derivative of u**7/21 - 71*u**6/30 + u**4/3 + 10*u**3/3 + 170*u. What is the third derivative of l(v) wrt v?
120*v**2 - 1704*v
What is the derivative of 70 + 21*b**3 + 15 + 65 + 2*b**2 wrt b?
63*b**2 + 4*b
Let v(j) = -742*j**3 - 9*j + 230. Let l(u) = -372*u**3 - 4*u + 115. Let o(n) = -9*l(n) + 4*v(n). What is the derivative of o(p) wrt p?
1140*p**2
Suppose -9*z = -2*z + 9*z. Let q(n) be the second derivative of 2/15*n**6 + z - 4*n**2 + 0*n**5 + 0*n**4 + 2*n + 0*n**3. Differentiate q(h) wrt h.
16*h**3
Let a(q) = q**2 - 4*q - 6. Let k be a(6). Find the third derivative of z**k + 4*z**2 + 10*z**6 + 13*z**6 - 4*z**6 wrt z.
2400*z**3
What is the third derivative of 4712*m**2 - 103 + 24*m**3 - 2*m**4 - 211 - 4710*m**2 wrt m?
-48*m + 144
What is the second derivative of -560*z**3 + 34*z + 286*z + 398*z**3 + 11*z wrt z?
-972*z
Let w(t) be the third derivative of 25*t**8/112 + t**6/120 - 45*t**4/4 - 101*t**2. What is the second derivative of w(c) wrt c?
1500*c**3 + 6*c
Let y(n) be the second derivative of -8*n**7/7 - n**6/30 - 15*n**4/2 - 4*n + 3. What is the third derivative of y(i) wrt i?
-2880*i**2 - 24*i
Let j(i) = 186*i**4 + 2*i**3 + 2*i**2 + 2*i - 141. Let l(g) = 560*g**4 + 7*g**3 + 7*g**2 + 7*g - 422. Let h(p) = 7*j(p) - 2*l(p). Differentiate h(r) wrt r.
728*r**3
Suppose -5*w + 18 = 3. What is the third derivative of 12*j**2 - 11*j**3 + 38*j**2 + j**w - 23*j**2 wrt j?
-60
Let t be (9/3 - 2)*8. Let u = t - 6. Find the second derivative of 8*z**4 - z + u*z - z**4 - 4*z**4 wrt z.
36*z**2
What is the second derivative of -34*q**5 - 49*q**5 - 52*q + 32*q - 100*q wrt q?
-1660*q**3
Suppose 0 = m - 0*j - 2*j - 2, -2*m + 11 = 3*j. Find the second derivative of -m*u - u**2 + 22*u - 3 + 3 wrt u.
-2
Let t(n) be the first derivative of 395*n**6/6 - 2*n**3/3 + 119*n**2 + 294. Find the third derivative of t(d) wrt d.
23700*d**2
Let w(p) = p**2 + 2*p - 4. Let d be w(-5). Let h = -10 + d. Differentiate 0 + h + 69*l - 69*l + 9*l**4 with respect to l.
36*l**3
Let q(v) be the third derivative of 0*v**4 - 1/2*v**3 + 0*v - 3*v**2 + 0 + 1/4*v**5. What is the first derivative of q(f) wrt f?
30*f
Let m(y) be the third derivative of -151*y**8/336 - 35*y**4/12 - y**3/2 + 140*y**2. Find the second derivative of m(w) wrt w.
-3020*w**3
Let m(q) = 4*q - 3. Let j be m(3). Suppose -t + 6*t + 3*a = 10, 5*a = -5*t + 10. Find the second derivative of -j*s**5 + 0*s**5 + t*s**5 - 2*s + 5*s wrt s.
-140*s**3
Suppose 0 = 4*l - 2*l - 26. What is the second derivative of l*q + 2*q**3 + 3 - 3 - 5*q wrt q?
12*q
Let g(o) be the third derivative of -113*o**7/70 - 391*o**5/60 - 240*o**2. Find the third derivative of g(w) wrt w.
-8136*w
Let i(m) = -2*m**2 - m. Let t(u) = -171*u**2 + 2*u + 112. Let b(z) = 2*i(z) + t(z). What is the first derivative of b(o) wrt o?
-350*o
Let x(v) = v**4 + 1. Let f(t) = -4 + 7*t**4 - 8 + 7*t + 7. Let z(l) = 2*f(l) + 10*x(l). Find the second derivative of z(j) wrt j.
288*j**2
Let u(y) = 18*y**2 - 2*y - 2. Let w be u(-1). Let q = -16 + w. Find the third derivative of 2*r**2 + 2*r**5 + 7*r**q + r**2 wrt r.
120*r**2
Let f(i) be the third derivative of 24*i**7/35 - 31*i**3/2 + 63*i**2. Find the first derivative of f(a) wrt a.
576*a**3
Suppose -m - m = 4*g - 6, 2*m = -2. Differentiate v**2 + 19 - 5*v**2 + 3*v**g wrt v.
-2*v
Let t(l) = 10*l**3 + l. Let r be t(1). Let x be (-15*2/3)/(0 + -2). Find the third derivative of -9*u**2 + 2*u**x - r*u**5 + 6*u**5 wrt u.
-180*u**2
Let p(z) = -29*z - 26*z + 44 - 179 + 55*z**2 - 45*z**4. Let b(l) = 5*l**4 - 6*l**2 + 6*l + 15. Let x(a) = -55*b(a) - 6*p(a). Differentiate x(m) wrt m.
-20*m**3
Let i(j) be the first derivative of 54*j**5/5 - j**3/3 - 360*j**2 - 331. What is the second derivative of i(z) wrt z?
648*z**2 - 2
Suppose n = -n + 6. Let f(z) = z**2 - 6*z + 6. Let d be f(6). Find the first derivative of -2*p**3 - d + 1 - n*p**3 + 0 wrt p.
-15*p**2
What is the second derivative of -8*m + 234*m**2 - 7*m - 13*m + m**3 + 1 + 3*m wrt m?
6*m + 468
Suppose -5*w - 3*z = -4, 0*z + 4 = -2*z. Find the third derivative of 0*o**w + 14*o**5 + 3*o**2 - o**2 + 7*o**2 wrt o.
840*o**2
Let f(n) = -n**3 + n**2 - n - 1. Let t(j) = 367*j**3 + 183*j**2 - 2*j - 2. Let r(y) = 2*f(y) - t(y). Find the third derivative of r(u) wrt u.
-2214
What is the third derivative of -11678 + 11678 + 75*m**2 - 87*m**4 wrt m?
-2088*m
Let x be 0*-7*11/(-154). Let l(u) be the first derivative of -7 + x*u + 3/2*u**2 + 4/3*u**3. Find the second derivative of l(j) wrt j.
8
Let q(y) be the second derivative of 373*y**4/12 - 33*y**3 - y + 112. Find the second derivative of q(r) wrt r.
746
Let j(x) = -2*x + 5. Let t(m) = 15*m - 10*m + 1 + 1 - 12. Let w(c) = 10*j(c) + 6*t(c). Differentiate w(b) with respect to b.
10
Let i(q) = q**2 - 12*q - 10. Let y be i(-1). Let x(p) be the first derivative of 3*p**y - 5 - 1/2*p**2 + 0*p. Find the second derivative of x(j) wrt j.
18
Let g(w) = -w**2 + 4*w + 7. Let b be g(5). What is the derivative of d**2 - 2 + 5*d**2 - 2*d**b wrt d?
8*d
Let l(d) be the third derivative of 13*d**5/30 + d**4/8 - 103*d**3/3 - 2*d**2 - 101. Differentiate l(z) with respect to z.
52*z + 3
Find the third derivative of 1 + 118*j**6 - 2*j**4 + 1250*j**2 - 1203*j**2 + 2*j**4 wrt j.
14160*j**3
Let c(n) be the second derivative of -9/10*n**5 + 0*n**4 - 3 + 0*n**3 - 2*n + 19/2*n**2. Differentiate c(a) with respect to a.
-54*a**2
Let o(k) be the second derivative of 0*k**3 + 0*k**4 - 6*k + 13/2*k**2 + 0 - 13/30*k**6 + 0*k**5. Find the first derivative of o(z) wrt z.
-52*z**3
Let z(a) be the second derivative of -37*a**3/3 + 77*a**2 + 79*a. What is the first derivative of z(o) wrt o?
-74
Let p be 12/36 + (-20)/(-3). Find the first derivative of -w + w - 5*w**2 - p + 14*w**2 wrt w.
18*w
Let h be 290/87 + -2 + (-16)/(-6). Let m(b) be the third derivative of -1/24*b**h - 4*b**2 + 0*b + 1/6*b**3 + 0. Differentiate m(t) wrt t.
-1
Let k(m) be the third derivative of 29*m**6/40 - m**5/15 - m**4/12 + 17*m**3/6 + 329*m**2. What is the second derivative of k(n) wrt n?
522*n - 8
Let v(z) be the first derivative of -787*z**4/4 - 280*z**2 - z + 18. What is the second derivative of v(s) wrt s?
-4722*s
Let r(n) be the third derivative of -23*n**7/210 - n**6/120 - 49*n**5/30 + 113*n**2. Find the third derivative of r(s) wrt s.
-552*s - 6
Let f(x) be the first derivative of 41*x**6/3 + x**4/4 - x**2 + 40*x + 48. Find the second derivative of f(r) wrt r.
1640*r**3 + 6*r
Let t(x) be the second derivative of x**7/504 + x**6/360 - 2*x**4/3 + 13*x. Let f(l) be the third derivative of t(l). Find the second derivative of f(s) wrt s.
10
Let i(m) be the second derivative of 0 + 0*m**6 + 0*m**5 - 5/12*m**4 - 19*m + 0*m**2 - 10/21*m**7 + 0*m**3. What is the third derivative of i(a) wrt a?
-1200*a**2
Suppose 5*r - 25 = -u, -2*u + 6 = r - 2*r. Suppose -r*f + 3 + 29 = 0. Find the second derivative of -2*j**2 + f*j**2 - 4 + 4 + 2*j wrt j.
12
Let q(w) be the third derivative of -79*w**5/60 - w**4/24 - 34*w**3 + 4*w**2 - 17*w. What is the derivative of q(t) wrt t?
-158*t - 1
Suppose -5*f = 9 - 24. Find the third derivative of -8*l**3 + 16*l**2 + 14*l**3 - 9*l**f wrt l.
-18
Let s(x) be the first derivative of -x**10/210 + 3*x**6/40 + x**3/3 - 12. Let v(d) be the third derivative of s(d). What is the third derivative of v(u) wrt u?
-2880*u**3
Let b(l) = -l**2 - 7*l + 14. Let t be b(-8). Suppose -t = 6*o - 174. Find the third derivative of -4*p**4 + 28*p**3 - o*p**3 - 2*p**2 + p**4 wrt p.
-72*p
Let b(x) = 5 + 4*x + 7*x**2 - 13 - 10*x**2 + 