at is the third derivative of 2*l**4 + 9*l**4 - y*l**4 + 2*l**2 wrt l?
96*l
Find the second derivative of -10*v + 39*v + 27*v + v**2 + 64*v**3 wrt v.
384*v + 2
Let r(h) = 2*h**3 - 53*h**2 + 117*h. Let g(l) = -l**3 + 27*l**2 - 58*l. Let z(p) = -7*g(p) - 4*r(p). Find the second derivative of z(i) wrt i.
-6*i + 46
Let d(b) be the second derivative of -b**6/30 + 63*b**5/20 + 2*b**4/3 + b**3/3 + 4*b + 4. Find the third derivative of d(v) wrt v.
-24*v + 378
Suppose 0 = 13*u - 45 - 20. Let h(v) be the second derivative of 0 + 0*v**2 + 3/4*v**4 + 0*v**3 - 11*v - 1/20*v**u. What is the third derivative of h(n) wrt n?
-6
Differentiate -149*q - 210 + 38*q - 70*q + 41 with respect to q.
-181
Let t(l) be the second derivative of -413*l**5/20 - 163*l**2 + 212*l. Differentiate t(n) with respect to n.
-1239*n**2
Let b(u) = -5*u**3 + 83*u**2 + 108*u - 2. Let n(o) = 12*o**3 - 165*o**2 - 216*o + 5. Let w(q) = 7*b(q) + 3*n(q). Find the second derivative of w(p) wrt p.
6*p + 172
Let b(l) be the second derivative of 2*l**5/5 - 7*l**3/6 + 78*l**2 + l + 5. Find the first derivative of b(v) wrt v.
24*v**2 - 7
Suppose -4*k + 32 = 4*k. Find the first derivative of 2 + k*x + 10*x + 15 wrt x.
14
Let y = -46 + 49. What is the third derivative of 7*d**3 + 30*d**2 - 13*d**2 + 5*d**y + 2*d**3 wrt d?
84
Suppose -4*z + 3 = -3*z. Find the third derivative of 119*x**3 - 1 + 1 - 10*x**2 - 112*x**z wrt x.
42
Suppose -3 = -5*y + 7. Find the third derivative of 44*m**4 + 4*m**y + 5*m**2 - 18*m**2 wrt m.
1056*m
Let r(q) be the second derivative of 273*q**5/20 - 493*q**4/12 - 603*q. What is the third derivative of r(b) wrt b?
1638
Let c be 6*2 + (6 - 10). Suppose -5*u + n = 29 - 83, -3*n + c = 2*u. Differentiate -2 - 1 + u*y - 9 with respect to y.
10
Let k(y) be the second derivative of 89*y**6/30 + 20*y**4 - 138*y + 2. Find the third derivative of k(c) wrt c.
2136*c
Let j(c) = -40*c**6 - 147*c**2 - 4*c. Let a(d) = -41*d**6 - 146*d**2 - 5*d. Let s(q) = 4*a(q) - 5*j(q). Find the third derivative of s(k) wrt k.
4320*k**3
Let w = 159 - 156. What is the third derivative of -21*s - 2032 + 2*s**w - 2*s**2 + 2032 - 23*s**4 wrt s?
-552*s + 12
Let i(k) = 5*k**3 + 59*k**2 + 33*k - 8. Let t(o) = 4*o**3 + 58*o**2 + 34*o - 6. Let y(u) = 3*i(u) - 4*t(u). Find the second derivative of y(r) wrt r.
-6*r - 110
What is the first derivative of -13*r**3 + 167 - 3*r**2 + 16*r**2 + 9*r**3 wrt r?
-12*r**2 + 26*r
Let g(k) = -5*k**4 + 2*k**3 + 4*k**2 + 44*k + 2. Let o(t) = t**4 + t**3 - t**2 - t + 1. Let b(h) = g(h) - 2*o(h). What is the second derivative of b(y) wrt y?
-84*y**2 + 12
Let x(b) be the third derivative of b**8/168 + 21*b**5/10 - 83*b**4/24 + b**3/3 - 210*b**2. What is the second derivative of x(v) wrt v?
40*v**3 + 252
Suppose 15*z = 3*z + 24. Let n(h) be the third derivative of 0 + 0*h**4 + 1/30*h**5 - 2/3*h**3 - 5*h**z + 0*h. Find the first derivative of n(c) wrt c.
4*c
Let z(a) = -3*a**3 - a + 2*a + a**2 + 3*a**3 + a**3 + 5. Let m be z(0). Find the third derivative of -k**2 - k**5 - k**m - 8*k**5 wrt k.
-600*k**2
Let o(t) = -t**2. Let d = -8 - -11. Let k be ((-4)/(-6))/((-1)/d). Let z(m) = m**2 + m. Let u(s) = k*o(s) - 6*z(s). Find the second derivative of u(n) wrt n.
-8
Let d(t) = 24*t**3 + 99*t**2 - 2*t. Let p(v) = -97*v**3 - 395*v**2 + 9*v. Let k(s) = 9*d(s) + 2*p(s). Find the third derivative of k(a) wrt a.
132
Let o(b) = -83*b**2 - 5*b - 14. Let k(w) = w - 1. Let s(h) = 5*k(h) + o(h). Differentiate s(q) wrt q.
-166*q
Suppose -2*x + 1 + 7 = 0. Suppose 5 = -x*q + l + 1, l - 4 = 5*q. What is the first derivative of 1 + q*c + 3 + 3*c wrt c?
3
Let l be 8 - 4 - (2 - 4). Let r = -2 + l. Find the third derivative of 3*c**4 - c**4 + 0*c**4 + 6*c**r + 2*c**2 wrt c.
192*c
What is the third derivative of 143*o**2 - 60*o**3 + 150*o**3 - 230*o**4 - 90*o**3 wrt o?
-5520*o
What is the derivative of -172 + 243 + 80 + 98*q wrt q?
98
Let g(s) be the second derivative of -2*s**7/7 + 3*s**5/10 - s**4/4 - 20*s**3/3 - 123*s. What is the third derivative of g(q) wrt q?
-720*q**2 + 36
What is the first derivative of -20*c**2 - 37*c**4 + 60 + 336 + 7 + 42*c**4 wrt c?
20*c**3 - 40*c
What is the second derivative of -373*b + 567*b**3 - 13565*b**2 + 13565*b**2 wrt b?
3402*b
Let l = 41 - 38. What is the second derivative of -l*k + 2*k**4 - 13*k - k**4 wrt k?
12*k**2
Let y(c) = -2*c**2 - 13*c - 2. Let s be y(-6). What is the second derivative of 15*p**s - 4*p - 208*p**3 + 208*p**3 wrt p?
180*p**2
Find the second derivative of -114*v**3 - 66*v**3 - 53*v - 179*v**3 + 13*v + 2*v**4 - 47*v**3 wrt v.
24*v**2 - 2436*v
Let l(q) = -275*q**3 - 91*q**2 - 3*q. Let m(g) = 276*g**3 + 89*g**2 + 4*g. Let s(w) = 4*l(w) + 3*m(w). What is the third derivative of s(y) wrt y?
-1632
What is the second derivative of -2*a**3 - 33*a + 0*a**3 - 130*a**2 + 2 - 19*a + 131*a**2 wrt a?
-12*a + 2
Let k(i) be the third derivative of -i**7/210 + 7*i**6/60 - i**5/20 - 9*i**3/2 - 62*i**2. What is the third derivative of k(h) wrt h?
-24*h + 84
Let c(f) = f + 1. Let q be c(3). Find the third derivative of 4*b**4 + 11*b**2 - q*b**4 - 9*b**6 wrt b.
-1080*b**3
Let l(z) be the second derivative of -27 + 0*z**3 + 0*z**2 + 17/6*z**4 - z + 21/10*z**5. Find the third derivative of l(t) wrt t.
252
Let a(c) = -c**3 + 2*c**2 + c + 1. Let l be a(2). Suppose -4*q = -3*q - 6. Find the third derivative of -2*w**3 + w**l - 4*w**3 - q*w**2 + w**3 wrt w.
-24
Let h(n) = 14 + 68*n**4 + 12*n**3 - 16 + 10 + 12*n. Let w(i) = -27*i**4 - 5*i**3 - 5*i - 3. Let a(q) = -5*h(q) - 12*w(q). Differentiate a(r) wrt r.
-64*r**3
Suppose 13*v - 111 = 162. What is the first derivative of -23 - 23 - v + 27*w**2 + 13 wrt w?
54*w
Let v(y) = 2*y - 4. Let r be v(8). Let p(j) = j**3 - 13*j**2 + 14*j + 3. Let n be p(r). Find the second derivative of 0*l**5 - l**5 + 2*l**5 + n*l - 23*l wrt l.
20*l**3
Find the second derivative of -4 - 164*p**3 + p + 2*p**4 - 2 + 1 + 16*p**3 wrt p.
24*p**2 - 888*p
Let u be (-2 - (4 - 7))*2. What is the first derivative of -10*t**u + 1921*t + 3 - 1921*t wrt t?
-20*t
Let b(h) be the second derivative of -h**6/12 + 11*h**4/8 + 7*h**3/2 + 10*h. Let s(t) be the second derivative of b(t). What is the derivative of s(p) wrt p?
-60*p
Let d be -12 - -12 - (1 + -15 + -1). Find the second derivative of -10*t**5 + d*t + 21*t**5 - 10*t wrt t.
220*t**3
Let m(d) = -105*d + 74. Let w(t) = 53*t - 37. Let c(k) = -6*m(k) - 13*w(k). Differentiate c(u) with respect to u.
-59
Let w(o) be the second derivative of -77*o**6/30 + o**3/3 - 59*o**2/2 - 17*o - 1. Find the second derivative of w(p) wrt p.
-924*p**2
Let r(m) be the third derivative of 0 - 5*m**3 + 0*m**5 + 31/120*m**6 - 48*m**2 + 0*m**4 + 0*m. Find the first derivative of r(j) wrt j.
93*j**2
Suppose 4*g - 117 = -105. Differentiate -8 - 32*b**3 - 6*b**3 - 5*b**g with respect to b.
-129*b**2
Let s = -74 + 73. Let w(c) = -21*c**2 - 4*c - 17. Let z(b) = b**2 + b - 1. Let t(p) = s*w(p) - 4*z(p). Differentiate t(k) with respect to k.
34*k
Let q(u) be the second derivative of -16*u**6/5 - u**4/12 - 25*u**3/6 - u + 25. What is the third derivative of q(b) wrt b?
-2304*b
Suppose -3*h + 3 = -6. Suppose 0*o = -h*o + 12. Differentiate o*d**4 + 5 - 6*d**4 - 2*d**4 with respect to d.
-16*d**3
Let y = -17 + 29. Suppose 4*u - u - y = 0. Differentiate -3*o + 0*o - u - o with respect to o.
-4
Suppose -5*j + 45 + 275 = 0. Let u be 1/(j/20 + -3). Differentiate 2 - u*n + n + 10 - 4 wrt n.
-4
Let z(f) = -108*f - 200. Let d(w) = -6*w. Let c(a) = -10*d(a) + z(a). Differentiate c(p) with respect to p.
-48
Find the third derivative of -115*b**3 + 77*b**2 - 21*b**2 + 76*b**2 wrt b.
-690
What is the third derivative of 11*l**3 + 27*l**3 - 31*l**2 + 4*l - 75*l**3 - 2*l + 139*l**3 wrt l?
612
Let p(j) be the second derivative of -2*j**7/7 - 5*j**4/12 - 19*j + 5. What is the third derivative of p(h) wrt h?
-720*h**2
Find the second derivative of -48*n**2 - 789*n - 1034999 + 1034999 wrt n.
-96
Let a(z) = -12*z**2 - 14. Let y(n) = 6 + 32*n - 11*n - 20*n. Let i be y(-2). Let l(b) = 4*b**2 + 5. Let v(r) = i*a(r) + 11*l(r). Differentiate v(m) wrt m.
-8*m
Let q(o) = 2*o**3 - 25*o**2 - 41*o - 14. Let d be q(14). Let r(j) be the second derivative of d + 6*j + 1/6*j**3 - 3/2*j**2. Differentiate r(g) wrt g.
1
Let l = -9 + 9. Let p be l + 2 - (-4)/2. Find the first der