- 60*w**2
Find the third derivative of -1506*l**2 + 642*l**2 + 534*l**2 - 346*l**6 wrt l.
-41520*l**3
Let p(t) = -68*t + 27. Let l(w) = 67*w - 27. Let o(r) = -6*l(r) - 5*p(r). What is the derivative of o(y) wrt y?
-62
Let z(o) be the second derivative of -23*o**4/3 + 47*o**3/6 + 3*o - 31. What is the second derivative of z(p) wrt p?
-184
Let l(w) be the third derivative of 0*w**3 + 0 - 1/12*w**5 + 1/40*w**6 + 7*w**2 + 0*w**4 + 0*w. Find the third derivative of l(j) wrt j.
18
Let i(g) = 80*g**4 - 4*g**2 + 4*g + 89. Let x(l) = -160*l**4 + 7*l**2 - 7*l - 179. Let j(r) = 7*i(r) + 4*x(r). What is the first derivative of j(b) wrt b?
-320*b**3
Let g(o) = -9*o**3 - 98*o**2 - 212*o - 3. Let b(n) = 29*n**3 + 295*n**2 + 636*n + 10. Let s(h) = -3*b(h) - 10*g(h). What is the second derivative of s(w) wrt w?
18*w + 190
Suppose -51*z - 1656 = -55*z. What is the first derivative of 5*o**3 + 414*o**2 + 0*o**3 - z*o**2 - 29 wrt o?
15*o**2
Let o be (-2)/12 + (-117)/(-54). Find the second derivative of 7*l**3 - 7*l**4 + o*l - 7*l**3 + 0*l wrt l.
-84*l**2
Let a(p) = -p + 2. Let r be a(3). Let b(w) = 29*w**2 + 11. Let t(k) = -k**2. Let v(u) = r*b(u) - 2*t(u). What is the first derivative of v(x) wrt x?
-54*x
Let j(w) = -w**2 + 15*w - 340. Let t(n) = -n**2 + 3*n + 1. Let m(f) = j(f) + t(f). What is the first derivative of m(b) wrt b?
-4*b + 18
Let y(d) be the third derivative of 10*d**6/3 - d**5/20 - d**4/8 - 150*d**2. Find the third derivative of y(q) wrt q.
2400
Let u = 21 - 17. What is the first derivative of 77*c**3 - 4*c**4 + u - 77*c**3 wrt c?
-16*c**3
Find the second derivative of -4*l**2 - l**3 - 9*l**2 + 89*l - 11*l wrt l.
-6*l - 26
Let p(v) = -1077*v**4 - 20*v**3 - 9*v + 41. Let u(a) = 358*a**4 + 7*a**3 + 3*a - 14. Let q(h) = -6*p(h) - 17*u(h). What is the second derivative of q(d) wrt d?
4512*d**2 + 6*d
Let c(f) be the second derivative of f**6/30 - 51*f**5/20 - 32*f**3/3 - 3*f**2/2 + 51*f. Find the second derivative of c(i) wrt i.
12*i**2 - 306*i
Let d(v) be the second derivative of 0 + 11*v + 0*v**3 - 11/12*v**4 + 4*v**2. What is the derivative of d(x) wrt x?
-22*x
Let r = -2 - 5. Let d be (-39)/(r + 4) + -4. What is the second derivative of 2 + 8*u - 2 - d*u**3 - 16*u wrt u?
-54*u
Let b(p) = -3*p + 4. Let k(g) = g. Let d be k(-3). Let j be b(d). What is the second derivative of j*m**5 - 8*m + m - 4*m**5 wrt m?
180*m**3
Let u(d) be the third derivative of -49*d**6/60 + 101*d**3/3 + 154*d**2. Find the first derivative of u(c) wrt c.
-294*c**2
Let h(d) be the first derivative of 0*d - 25 + 0*d**3 + 1/4*d**4 + 15/2*d**2. What is the second derivative of h(n) wrt n?
6*n
Let u be (-4)/(-18) - (-250)/90. What is the second derivative of -u*j**3 + 261*j + 3*j**3 - 253*j - 36*j**4 wrt j?
-432*j**2
Differentiate 27*a**2 + 65*a**4 + 12*a**2 - 35*a**4 - 115 - 32*a**4 with respect to a.
-8*a**3 + 78*a
Let n(t) be the third derivative of -13/30*t**5 + 13/3*t**3 + 0 + 32*t**2 + 0*t**4 + 0*t. Differentiate n(a) wrt a.
-52*a
What is the second derivative of -229*m - 53*m - 110*m**3 + 447*m**3 + 310*m**3 wrt m?
3882*m
Let w(j) be the third derivative of j**8/168 - 3*j**6/5 - 19*j**4/12 + j**2. Find the second derivative of w(o) wrt o.
40*o**3 - 432*o
Let m = -124 + 127. Find the second derivative of -15*y + 51*y + 6*y**3 + 12*y**m wrt y.
108*y
Let j(l) = -9*l**3 + 79*l**2 - 17*l. Let r(h) = 3*h**3 + 176 - 176 + 6*h - 26*h**2. Let p(o) = -6*j(o) - 17*r(o). What is the third derivative of p(y) wrt y?
18
Suppose 3*h - j + 2 - 4 = 0, -4*h = -j - 4. Let c be 1/1*(h - -1). Find the third derivative of 5*d**5 - c*d**2 - 3*d**5 + 2*d**5 wrt d.
240*d**2
Let z(n) = 195*n**3 - 121*n**2 - 11*n. Let t(u) = 98*u**3 - 61*u**2 - 6*u. Let i(b) = -11*t(b) + 6*z(b). Find the third derivative of i(o) wrt o.
552
Let f = -20 + 22. What is the second derivative of 11*i**f + i + 11*i**2 - 12*i**2 - 15*i wrt i?
20
Let k(n) be the first derivative of -19*n**6/30 + 13*n**2/2 + 25*n - 30. Let h(a) be the first derivative of k(a). What is the derivative of h(b) wrt b?
-76*b**3
Let h = 25 + -10. Let k be h/4 + (-9)/12. What is the second derivative of -114 - 2*c**k - 8*c + 114 wrt c?
-12*c
Find the second derivative of -115*d**2 + 165*d**2 - 2 - 1 + 0 + 5*d wrt d.
100
Let c(s) be the second derivative of -s**7/60 - 2*s**4/3 - 5*s**3/6 + 5*s. Let k(o) be the second derivative of c(o). What is the derivative of k(b) wrt b?
-42*b**2
Let p(f) be the first derivative of 349*f**6/2 + 705*f**2/2 + 629. Find the second derivative of p(l) wrt l.
20940*l**3
Let m(c) be the third derivative of 3*c**4/8 - 47*c**3/6 - 20*c**2. What is the derivative of m(k) wrt k?
9
Let v(u) be the first derivative of -7 + 0*u**2 - 5*u + 23/4*u**4 + 0*u**3. Find the first derivative of v(n) wrt n.
69*n**2
Let n(j) = -415*j**6 - 16*j**2 + 5*j + 8. Let c(i) = 416*i**6 + 15*i**2 - 4*i - 7. Let g(p) = -5*c(p) - 4*n(p). What is the third derivative of g(r) wrt r?
-50400*r**3
Let t(q) be the first derivative of q**7/30 + 3*q**5/20 + 13*q**2/2 + 15. Let c(w) be the second derivative of t(w). What is the third derivative of c(o) wrt o?
168*o
What is the second derivative of 1 - 3 + 174*k - 64*k + 0 + 3 + 166*k**2 wrt k?
332
Differentiate 19 + 42 - 76*f**3 + 11*f**3 + 23 with respect to f.
-195*f**2
Suppose -5*h - 5*d = -d - 170, -4*d + 20 = 0. What is the second derivative of 12*c**2 - h*c**2 - 11*c + 0*c wrt c?
-36
Let b = 315 - 313. Let q be 0 + (0/(-2) - -2). Find the first derivative of 4*t**2 + 2 - q*t**2 + t**b wrt t.
6*t
Let s(p) = -17*p**4 - 2*p**2 + 516. Let y(z) = z**4 - 3*z**2 - 1. Let u(b) = s(b) - 3*y(b). Find the first derivative of u(g) wrt g.
-80*g**3 + 14*g
Suppose 17*a - 11 - 23 = 0. Let v(g) be the first derivative of 0*g - 4 - 2/3*g**3 - 2/5*g**5 + 0*g**4 + 0*g**a. What is the third derivative of v(w) wrt w?
-48*w
Let a be 64/11 - (-6)/33. Let j be 2/(a - 4)*4. Find the second derivative of 6*l**5 + 3*l**5 - 10*l - 6*l**5 - j*l**5 wrt l.
-20*l**3
Suppose 0 = -2*d + 4 + 14. Suppose 5*y - 2*i = 26, -3*y + d = -0*y + i. Find the first derivative of -y - 4*g**2 - 3*g**2 - 5 + 5*g**2 wrt g.
-4*g
Let b = -23 + 34. Suppose 3*v + 2 = b. What is the second derivative of -3*i + 2*i + v*i + i**5 wrt i?
20*i**3
Let r(z) = 2*z**2 - 15*z**2 + 162 - 181 - 20*z**2 - 11*z. Let f(k) = -11*k**2 - 4*k - 6. Let v(d) = 11*f(d) - 4*r(d). Differentiate v(n) with respect to n.
22*n
Let w = 8629/12 + -719. Let t(o) be the third derivative of 0*o**3 + 0*o + 11*o**2 + w*o**5 + 0 + 11/24*o**4. What is the second derivative of t(f) wrt f?
10
Let c(y) be the first derivative of y**2/2 + 2*y - 4. Let u be c(0). What is the second derivative of -u*r**5 + 0*r**5 + 7*r + 2*r - 5*r wrt r?
-40*r**3
Suppose 5*b - z - 16 = 0, 3*b + 3 = -3*z + 9. What is the third derivative of -15*g**2 + 2*g**2 - 13*g**b - 15*g**2 wrt g?
-78
Let i(c) be the second derivative of -19*c**6/10 - c**4/4 - 6*c**2 + 182*c. Find the third derivative of i(v) wrt v.
-1368*v
Suppose 5*h = 8*h - 12. What is the third derivative of -6166 - 5*i**h + 6166 - 23*i**2 wrt i?
-120*i
Let t(u) be the second derivative of 0*u**2 - 1/3*u**3 + 0*u**4 + 0*u**5 + 1/6*u**6 + 0 - 12*u. What is the second derivative of t(a) wrt a?
60*a**2
Let i be 7/21 + 8/3. Find the third derivative of -38*r**2 + 0*r**2 - 101*r**3 - 5*r**5 + 204*r**i - 99*r**3 wrt r.
-300*r**2 + 24
What is the second derivative of 106 + 672*r**5 - 164 + 8*r + 63 wrt r?
13440*r**3
Let c(f) be the first derivative of -41*f**4/4 + 28*f - 21. What is the first derivative of c(w) wrt w?
-123*w**2
Suppose -3*i - 3*c = -24, 0 = 4*i + c - 9 - 14. Suppose 9 + 21 = i*j. Differentiate 3 - 8 + j*v**2 - 4*v**2 with respect to v.
4*v
Differentiate -82*z**3 + 1338 - 1317 - 429*z**3 - 8*z**3 + z**4 wrt z.
4*z**3 - 1557*z**2
Suppose -2*i + i = -4. Let t = i - 1. Differentiate 1 + 0 - r**3 - t with respect to r.
-3*r**2
Let r be (-3 - 0/2)/(-1) + 1. What is the third derivative of -379*x + r*x**3 + 9*x**2 - 2*x**3 + 10*x**3 + 382*x wrt x?
72
What is the second derivative of 270*x - 4 + 260*x - 553*x - 2 - 114*x**3 wrt x?
-684*x
Let y(d) be the third derivative of 149*d**4/6 + 368*d**3/3 + 4*d**2 - 12*d. Differentiate y(q) with respect to q.
596
Let u = 1448 + -1448. Let b(y) be the first derivative of 10/3*y**3 + u*y + 5*y**2 - 3. Find the seco