- 5*z**t + 3*z**2 with respect to z.
-2*z
Let n(w) be the second derivative of 3*w**5/20 + 3*w**4/4 - 23*w**2 - 3*w. Differentiate n(y) with respect to y.
9*y**2 + 18*y
Let i(q) be the second derivative of -93*q**5/10 - q**4/12 - 135*q**2 + 565*q. Find the first derivative of i(n) wrt n.
-558*n**2 - 2*n
Let y(l) = 2*l**2. Let c be y(1). Suppose b + 6 = d, -2*d - 3*b - 10 = -d. What is the second derivative of 2*w - w - 4*w**c + d*w wrt w?
-8
Let w(g) be the second derivative of -273*g**5/10 + 58*g**4 + g**3/3 - 127*g. What is the third derivative of w(n) wrt n?
-3276
Let r(a) = -109*a**4 + 8*a**2 - 2*a + 309. Let w(u) = 544*u**4 - 44*u**2 + 11*u - 1544. Let t(q) = -11*r(q) - 2*w(q). Differentiate t(x) with respect to x.
444*x**3
What is the first derivative of -310*x**2 + 77*x**2 - 131 + 33 - 103 wrt x?
-466*x
Find the second derivative of -22*a**2 + 18*a + 7*a + 34*a**2 + 47*a**2 wrt a.
118
Let q(m) be the third derivative of -4/3*m**3 + 4*m**2 + 0*m**5 + 0*m + 1/10*m**6 + 0 + 0*m**4. Find the first derivative of q(o) wrt o.
36*o**2
Let s(v) be the third derivative of 1/3*v**4 + 0*v + 0*v**3 + 11*v**2 + 0 - 9/20*v**5. What is the second derivative of s(h) wrt h?
-54
Suppose -b - n = -8, 2*b - 4*n + 2*n = 8. Let v be b - (3/3 - -1). What is the first derivative of -2 - 4*c**v + 2 + 9*c**4 + 5 wrt c?
20*c**3
Let v(u) = -55*u**3 - 3*u**2 + 4*u - 57. Let o(t) = 110*t**3 + 5*t**2 - 7*t + 115. Let m(x) = -3*o(x) - 5*v(x). Find the second derivative of m(a) wrt a.
-330*a
Let y(o) be the third derivative of 4*o**7/7 + 17*o**5/15 + 59*o**2 - 1. Find the third derivative of y(s) wrt s.
2880*s
Let d(q) be the third derivative of 0 - 11/8*q**4 + 0*q**3 + 1/40*q**6 + 33*q**2 + 0*q + 0*q**5. Find the second derivative of d(n) wrt n.
18*n
Differentiate -39 + 14 - 45 + 102*h**2 with respect to h.
204*h
Find the third derivative of 29*j**3 + 29*j**4 + 68*j**4 - 53*j**3 + 24*j**3 - 214*j**2 wrt j.
2328*j
Differentiate -26 + 77*d**3 + 93 - 76*d**3 - d**2 - 104*d**2 with respect to d.
3*d**2 - 210*d
Let c(l) = -12*l**3 - l**2 - 4*l - 45. Let z(f) = -2*f - 1. Let b(k) = -c(k) + 2*z(k). Find the first derivative of b(x) wrt x.
36*x**2 + 2*x
What is the second derivative of 0*j**3 + 22*j + 125*j**4 + 0*j**3 + 47*j wrt j?
1500*j**2
Let n(i) be the first derivative of 0*i - 10*i - 6*i**2 - 2*i - i + 1. What is the derivative of n(r) wrt r?
-12
Let f(n) = -202*n - 501. Let u(o) = 203*o + 506. Let d(w) = 5*f(w) + 6*u(w). Differentiate d(h) wrt h.
208
Let q(c) = -4*c**2 - 3*c + 4. Suppose -2 = -0*y - 2*y. Let o(u) = -14 - 6 + 19. Let r(v) = y*q(v) + 4*o(v). Find the second derivative of r(s) wrt s.
-8
Let t be (-1 - -3)*-2 - -176. What is the second derivative of -172*j**3 - 28*j**4 + t*j**3 + 27*j wrt j?
-336*j**2
What is the third derivative of n**3 + 223*n**2 - 8043 - 22*n**4 + 8043 wrt n?
-528*n + 6
Suppose 0 = -3*q - 6, -3*q = 2*a - 11 - 5. Suppose -2*r + 8 = 2*r. What is the second derivative of -i**r - 2*i**2 + a*i - 2*i**2 + 0*i**2 wrt i?
-10
Suppose -2*t = -8*t + 36. What is the second derivative of q**2 - t*q**2 + 5*q**2 + 8*q**3 + 16*q wrt q?
48*q
Let v(d) = 434*d**2 - 1417*d - 9. Let q(w) = 109*w**2 - 354*w - 2. Let a(u) = 9*q(u) - 2*v(u). What is the second derivative of a(p) wrt p?
226
What is the third derivative of -3*z**2 - 97*z - 154*z**4 - 2*z**6 - 37*z**4 - 107*z**4 - 34*z**4 wrt z?
-240*z**3 - 7968*z
Let d(h) = 668*h + 378. Let b(r) = 1338*r + 750. Let w(i) = -2*b(i) + 5*d(i). What is the first derivative of w(l) wrt l?
664
Let r be -4*3/6 - -22. What is the first derivative of 16*y**2 - r*y**2 + 6 + 17*y**2 wrt y?
26*y
Let r = 11 + -5. Let t = -3 + r. Differentiate -9 + 0*s + s + t*s**2 - s wrt s.
6*s
Let q(v) be the first derivative of -94*v**3/3 - 9*v**2/2 - 5*v + 10. Find the second derivative of q(r) wrt r.
-188
Let b(j) be the second derivative of j**7/2 + j**5/20 + 40*j**3/3 + 162*j. What is the second derivative of b(q) wrt q?
420*q**3 + 6*q
Let d(j) be the second derivative of -17*j**5/10 + j**4/6 + 23*j**3/2 - 204*j. What is the third derivative of d(v) wrt v?
-204
Let b(r) be the first derivative of 55*r**3/3 + r**2 - 23*r - 92. Differentiate b(v) wrt v.
110*v + 2
Let b(q) = q**4 - q**3 + q**2. Let a(r) = -3*r**4 + 5*r**3 + 10*r**2 + 10*r + 1. Let m(y) = -a(y) - 5*b(y). Find the second derivative of m(p) wrt p.
-24*p**2 - 30
Let u(p) = 101*p**3 - 3*p**2 - 41*p. Let s(w) = w**3 + w**2. Let t(j) = -3*s(j) - u(j). What is the second derivative of t(g) wrt g?
-624*g
Let i = -1 - -3. Let m(p) = 7*p - 2. Let a be m(6). Find the third derivative of -a*r**4 - r**2 - 2*r**i + 43*r**4 wrt r.
72*r
Let m(u) be the first derivative of -8 - 5/6*u**6 - 11/2*u**2 + 0*u**3 + 0*u**4 + 0*u + 0*u**5. Find the second derivative of m(n) wrt n.
-100*n**3
Let n(o) be the first derivative of 394*o**7/7 + o**3/3 + 21*o + 557. What is the third derivative of n(d) wrt d?
47280*d**3
What is the third derivative of 724*b**4 - 80*b**2 - 635*b**4 + 400*b**4 wrt b?
11736*b
Let b(j) be the third derivative of 0 + 0*j**5 + 0*j - 41*j**2 - 11/8*j**4 + 0*j**3 - 1/40*j**6. Find the second derivative of b(t) wrt t.
-18*t
Let r(c) be the first derivative of 13*c**5/10 - 2*c**4 + 17*c - 17. Let h(d) be the first derivative of r(d). Find the third derivative of h(g) wrt g.
156
Let l = 154 - 84. What is the third derivative of 4*r**2 + 159*r**5 - l*r**5 - 41*r**5 wrt r?
2880*r**2
Suppose 3*l + 54 = 3*o, -2*l = -3*o - 7*l + 22. Find the second derivative of -16*h + 10*h + 37*h**2 - o*h**2 wrt h.
46
Suppose -5*o + 3*c = -30, 2*o - 3*c - 12 = 2*c. Find the first derivative of o*f - 4*f - 9 - f wrt f.
1
Suppose -5*r - 4*s - 52 = -181, -5*r + 5*s = -120. Suppose 3 + r = 4*v. Find the third derivative of 0*m**2 + 10*m**5 - v*m**2 - 19*m**5 wrt m.
-540*m**2
Let x(c) = 9*c + 27. Let r(q) be the first derivative of 14*q**2 + 81*q - 8. Let z(w) = -3*r(w) + 8*x(w). What is the first derivative of z(h) wrt h?
-12
Let a(p) be the second derivative of 17/20*p**5 + 2*p + 0 + 0*p**4 + 11/6*p**3 + 0*p**2. What is the second derivative of a(w) wrt w?
102*w
Let k(v) = 10*v - 6. Let u(q) be the second derivative of -31*q**3/6 + 9*q**2 - 21*q. Let d(b) = 8*k(b) + 3*u(b). What is the derivative of d(x) wrt x?
-13
Let v(d) be the first derivative of -65*d**6/6 - 2*d**3 + 10*d + 4. What is the third derivative of v(z) wrt z?
-3900*z**2
Find the second derivative of -258*n**2 - 22*n + 9 - 52 + 39 wrt n.
-516
Let r(y) be the third derivative of 0 + 7/8*y**4 + 0*y**5 + 0*y + 2*y**2 + 0*y**3 + 7/40*y**6. What is the second derivative of r(d) wrt d?
126*d
Let p(f) = -f**3 - 15*f**2 - 14*f + 3. Let s be p(-14). What is the third derivative of s*a**2 - a**6 + 3*a**2 + 8*a**6 + 0*a**2 wrt a?
840*a**3
Let y(q) = -q**3 + 11*q**2 - 9*q - 8. Suppose p + 0*p - 10 = 0. Let x be y(p). Differentiate -1 - w**2 + 3*w**2 + x*w**2 with respect to w.
8*w
Suppose -2*m - 2*s + 3 - 5 = 0, -2*s = -2*m + 10. What is the third derivative of 26 + 2*i**m - 1 + 4 + 36*i**6 wrt i?
4320*i**3
Let f(j) be the second derivative of -33*j**8/56 - j**6/15 + 7*j**4/12 - 76*j. Find the third derivative of f(o) wrt o.
-3960*o**3 - 48*o
Let k(c) be the third derivative of 47*c**5/10 - 199*c**3/6 + 2*c**2 + 257*c. What is the first derivative of k(r) wrt r?
564*r
Let r(q) be the first derivative of -220*q**3/3 + q**2/2 + 14*q - 655. What is the second derivative of r(c) wrt c?
-440
Let n(g) be the second derivative of -5*g**3/6 + 69*g**2/2 + 2*g - 1. Differentiate n(w) with respect to w.
-5
What is the second derivative of 16*b - 738*b**2 + 740*b**2 + 0*b**4 + 0*b**4 - 11*b**5 wrt b?
-220*b**3 + 4
Let n(o) be the third derivative of 4*o**2 + 0 - 13/6*o**3 + 3/8*o**4 + 0*o. Find the first derivative of n(y) wrt y.
9
Suppose 10*c - 8 = 8*c. Let l be c/(-14) - (-357)/49. What is the derivative of -l + 3*z - 3*z + 2*z**2 wrt z?
4*z
Suppose -h - 3*a + 12 = 0, -3*a + 9 = 3*h - h. Let v be 16/(-12)*h + -2. Find the third derivative of -q**2 + 3*q**2 - q**2 + q**v - 3*q**4 wrt q.
-72*q
Let t(o) be the first derivative of -19*o**4 + 20*o**3 - 46. What is the third derivative of t(q) wrt q?
-456
Let r(m) be the first derivative of 0*m - 2 + 1/15*m**5 + 5/2*m**2 - 5/6*m**3 + 0*m**4. Let j(i) be the second derivative of r(i). Differentiate j(l) wrt l.
8