 a.
9
What is the third derivative of -10*i**6 + 53*i**6 + 13*i**6 - 14*i**2 + 0*i**2 + 11*i - 10*i**2 wrt i?
6720*i**3
Suppose 71 = 5*u + p, -3*u + 4 = -5*p - 61. Differentiate 13 - 37*x**2 - u*x**3 + 37*x**2 with respect to x.
-45*x**2
Let w(z) = -112*z**3 - 10*z**2 + 11*z + 14. Let l(g) = -37*g**3 - 3*g**2 + 4*g + 5. Let u(k) = 11*l(k) - 4*w(k). Find the third derivative of u(a) wrt a.
246
Let l(m) be the second derivative of 35*m**7/6 + m**6/15 + m**4/6 - 41*m**2 + 107*m. Find the third derivative of l(s) wrt s.
14700*s**2 + 48*s
Let g(s) = s**2 + 9*s - 13. Let y be g(-10). Let z = y - -5. Find the third derivative of 0*w**2 - 3*w**z - 28*w**6 + 36*w**6 wrt w.
960*w**3
What is the derivative of 9*j**3 - 21*j**3 - 334 - 21*j**3 - 21*j**3 wrt j?
-162*j**2
Let u(o) be the third derivative of -o**7/180 - 7*o**6/240 + 2*o**5/15 + 19*o**2. Let m(f) be the third derivative of u(f). Differentiate m(q) wrt q.
-28
Let j(g) be the first derivative of 191*g**5/5 - 21*g**2/2 - 6*g + 201. Find the second derivative of j(y) wrt y.
2292*y**2
Let b(a) be the third derivative of -a**6/40 + a**5/60 + 55*a**3/6 - 2*a**2 - 46*a. Differentiate b(w) wrt w.
-9*w**2 + 2*w
Let j(n) = -3. Let f(c) = -168*c**2 + 268. Let b(g) = f(g) + 14*j(g). What is the derivative of b(x) wrt x?
-336*x
Let w(q) be the first derivative of 645*q**7/7 + 7*q**3/3 - 23*q**2 - 11. What is the third derivative of w(l) wrt l?
77400*l**3
Let i(j) = -j**3 - 14*j**2 - 23*j + 16. Let l be i(-12). Find the first derivative of 3 - 4*d**l - 5 + 2 - 10 wrt d.
-16*d**3
Suppose -5*x + 4*i = 2, -2*x = -i - 5 + 4. Suppose 0 = 4*y - 3*r + x, 2*y - 3*y + 4*r = 7. Differentiate -5 + 3*f**3 - f**3 + y with respect to f.
6*f**2
Find the third derivative of -364*i**6 - 340*i**6 - 271*i**2 + 327*i**6 wrt i.
-45240*i**3
Find the second derivative of -14*u**5 - 70*u - 189*u - 157*u**5 wrt u.
-3420*u**3
Let z(t) = -5*t + 13*t + 11*t - 5*t**2. Let b(n) = -n**2. Let h(w) = 3*b(w) + z(w). What is the second derivative of h(s) wrt s?
-16
Let i(n) = -n + 0*n + 4 + 6 - 11. Let d(l) = 0*l**2 + 2 - 4*l - 6*l**2 - 12. Let w(q) = -d(q) + 10*i(q). What is the second derivative of w(z) wrt z?
12
Find the second derivative of -2*h**5 + 268*h - 8*h**2 + 255*h - 554*h wrt h.
-40*h**3 - 16
Let q = 10 + -5. Suppose -q*g = -0 - 10. What is the second derivative of -5*v - 3*v + 2*v - v**g - v**2 wrt v?
-4
Let r(j) = j**2 - 8*j - 2. Let k be r(8). Let g = k + 4. What is the derivative of c**2 + g*c**4 - c**2 - 5*c**4 - 3 wrt c?
-12*c**3
Suppose 0 = -d + 6 + 4. What is the second derivative of -11*v + 14*v + 11*v**5 - d*v wrt v?
220*v**3
Let g(o) be the first derivative of -11/3*o**3 + 0*o**2 + 18*o + 4. What is the first derivative of g(r) wrt r?
-22*r
Let x = 36 + -33. What is the third derivative of -2*u**2 - 37 - 47*u**5 - 799*u**3 + 799*u**x wrt u?
-2820*u**2
Differentiate -5*u - 14*u + u + 39 - 35*u with respect to u.
-53
Find the second derivative of -23*d + 3*d + 12*d + 7*d - 65 - 140 + 68*d**2 wrt d.
136
What is the second derivative of -2 + 5 + 2*p**3 + 2*p + 53 + 6*p**2 - 3 wrt p?
12*p + 12
Let s be 3/(9/(-12)) - (-16)/2. Let f = -8 + 13. Find the first derivative of -7 + 4*i**4 + f*i - 5*i - 3*i**s wrt i.
4*i**3
Let f(k) be the third derivative of -44*k**5/15 + k**4/24 - 28*k**3/3 + 42*k**2 + 2. Find the second derivative of f(s) wrt s.
-352
Let l(z) be the second derivative of 79*z**5/20 - 7*z**2/2 - 34*z - 1. What is the first derivative of l(t) wrt t?
237*t**2
Let j(l) = l**3 - 7*l**2 + l - 8. Let v be j(7). Let u = v + 7. What is the third derivative of b**u + 6*b**2 - 8*b**6 - 13*b**2 wrt b?
-840*b**3
Let u(b) = -15*b**3 + 2*b**2 - 30. Let v(m) = 196*m**3 - 2 + 1 - 197*m**3. Let w(j) = -u(j) + 2*v(j). What is the derivative of w(z) wrt z?
39*z**2 - 4*z
Let p be ((-4)/(-6))/((-22)/33). Let y = 4 - p. Find the second derivative of 2*t + 6*t**y + 3*t - 4*t - t**5 wrt t.
100*t**3
Let j(o) be the second derivative of 521*o**8/56 + 5*o**4/12 - 2*o**3 - 38*o. What is the third derivative of j(s) wrt s?
62520*s**3
Suppose -7*d = -3*d - 20. Find the third derivative of 4*y**d - 13*y**5 - 30*y**2 + 35*y**2 wrt y.
-540*y**2
What is the third derivative of -26*g - 23*g - 20*g**4 - 46*g + g**2 + 56*g wrt g?
-480*g
Let w(a) = 4246*a**2 + 18*a - 346. Let d(b) = 1061*b**2 + 4*b - 86. Let x(p) = -9*d(p) + 2*w(p). Find the first derivative of x(f) wrt f.
-2114*f
Let h(y) = 30*y**2 + 29*y. Let u(v) = v**2 + 7*v**2 - 4*v**2 + 6*v**2 + 10*v. Let t(j) = 3*h(j) - 8*u(j). Find the second derivative of t(z) wrt z.
20
Let l be 12*2*(-5)/(-20). Find the second derivative of z - 53 + 53 + l*z**3 wrt z.
36*z
Let a be -2*((-5)/2 + 3). Let k be (-1 - 1)*(a - 0). Find the third derivative of 7*n**2 - 10*n**3 - k*n**2 + 0*n**2 wrt n.
-60
Let y(k) = k**3 - 6*k**2 + 1. Let j be y(6). Let o be 10 + 1 + (2 - 3). What is the derivative of j + 12*i**2 + 3 - o*i**2 wrt i?
4*i
Let x(c) be the third derivative of 19*c**5/15 - 16*c**3 + 18*c**2. Differentiate x(b) wrt b.
152*b
What is the derivative of -19*a**4 - 31 + 77*a**4 + 35 wrt a?
232*a**3
What is the second derivative of 15*i**3 + 276*i + 173*i + 4*i**3 + 508*i**4 - 19*i**3 wrt i?
6096*i**2
Let t(q) = -19*q**2 + 2*q + 234. Let r(l) = 39*l**2 - 3*l - 469. Let n(a) = 3*r(a) + 5*t(a). Differentiate n(k) wrt k.
44*k + 1
Let t be 7*(1 + (-3)/7). Find the second derivative of 14*w**3 + 4 + t*w**3 - 4 + 16*w wrt w.
108*w
Let i(z) = -200*z**3 - 8*z**2 - 3. Let t(u) = u**3 + 2*u**2 + 1. Let q(s) = i(s) + 3*t(s). What is the third derivative of q(n) wrt n?
-1182
Let r(n) = 16*n**3 - 2*n**2 - 2. Suppose -d = 4 - 2. Let c(i) = -17*i**3 + 3*i**2 + 1. Let y(j) = d*c(j) - 3*r(j). Differentiate y(w) wrt w.
-42*w**2
Let s(n) = n**4 + 2*n**3 - n**2 - 1. Let a(c) = -c**4 - 299*c**3 - 88*c**2 + 2. Let f(t) = -a(t) - 3*s(t). Find the third derivative of f(r) wrt r.
-48*r + 1758
Let b(d) = -6*d - 7. Let j(s) = s**2 - 13*s - 14. Let o(f) = 5*b(f) - 2*j(f). Let x(l) be the first derivative of o(l). Differentiate x(c) wrt c.
-4
Suppose 3*v - 14 = y - 2*y, -y = -5*v + 18. Let b(w) be the first derivative of -v*w - 2*w - 3*w**2 + 2 + 3*w - 4*w. Find the first derivative of b(c) wrt c.
-6
Let m(n) be the second derivative of 31*n**3/2 + 197*n**2 - n - 12. Find the first derivative of m(v) wrt v.
93
Let y(q) be the third derivative of -19*q**7/105 - q**4 - q**3/2 + 29*q**2 - 5. What is the second derivative of y(f) wrt f?
-456*f**2
Let o = -9 + 13. Suppose -3*l + 2*j + 5 + 13 = 0, o*j = 0. Find the third derivative of 22*n + n**2 - 4*n**l - 22*n wrt n.
-480*n**3
Let j(p) be the second derivative of -6*p + 5 - 12*p**2 + 0*p**5 + 1/15*p**6 + 5/6*p**3 + 0*p**4. What is the first derivative of j(w) wrt w?
8*w**3 + 5
Suppose 22 = 4*o + 3*k, -11 = -4*o - 2*k + 9. Find the first derivative of -23*g - o + 11 + 14 - 41 wrt g.
-23
Find the second derivative of -17 - 13 + 72*g**2 - 4*g**2 + 2*g wrt g.
136
Let h(r) = 31*r**6 + 6*r**4 - 471*r**2 - 6. Let k(f) = -f**6 - f**4 + f**2 + 1. Let w(v) = h(v) + 6*k(v). Find the third derivative of w(y) wrt y.
3000*y**3
Suppose j - 2 = -1. Let f be (3/3 - -4)*j. What is the second derivative of k**5 - 2*k + k**5 + 3*k**f + 4*k wrt k?
100*k**3
Let q be -6*(-2)/18 - 49/(-21). Let i(u) be the first derivative of 0*u**4 + 0*u**2 + 4 + 3*u + 0*u**q + 1/5*u**5. Differentiate i(y) with respect to y.
4*y**3
What is the derivative of -59 + 194*r - 144*r - 1 wrt r?
50
Differentiate 40*a + 34*a + 538 - 198*a + 33*a with respect to a.
-91
Let u(s) = 402*s**2 - 123. Let i(p) = -403*p**2 + 127. Let k(y) = -3*i(y) - 2*u(y). What is the first derivative of k(o) wrt o?
810*o
Let i = -217 - -221. Let l(a) be the first derivative of -3 - 5/2*a**2 + 0*a**3 + 0*a**i + 0*a + 4/5*a**5. Find the second derivative of l(v) wrt v.
48*v**2
Suppose 5*w + 3*s - 85 = 0, 7 = -4*w + 4*s + 43. Let v = -11 + w. Find the second derivative of -3*u**4 - u**4 - v*u + 2*u - 2*u**4 wrt u.
-72*u**2
Suppose -8*f + 10*f - 402 = 0. Differentiate -8 + 201*o**3 - f*o**3 + 5*o**4 wrt o.
20*o**3
Let b(c) = 8*c**2 + 3*c + 5. Let z be b(-4). Differentiate -5*t**3 - 99 + z - 5*t**3 with respect to t.
-30*t**2
Let v = 257 - 17. Let q be v/108 - 2/9. What is the derivative of -4 + q + 1 + 5*y**3 wrt y?
15*y**2
Let c(g) be the third derivative of -