 v.
240*v**3
Let h(a) = -20*a**3 - 24*a**2 + 11*a - 180. Let j(v) = 4*v**3 + 5*v**2 - 2*v + 36. Let p(l) = 2*h(l) + 11*j(l). Find the first derivative of p(i) wrt i.
12*i**2 + 14*i
Let t(b) be the third derivative of -b**7/70 - b**6/24 + 38*b**5/15 - 2*b**2 - 9. Find the third derivative of t(m) wrt m.
-72*m - 30
Let k = 1 + 3. Find the second derivative of 16*l + l**k - l - 34*l**4 - 5*l wrt l.
-396*l**2
Let i(d) be the first derivative of 449*d**4/4 - 479*d - 74. Differentiate i(u) wrt u.
1347*u**2
Let g be 32/18 + (-16)/(-72). Let u be 1*(g/1)/1. What is the third derivative of l**2 - l**2 - 3*l**2 + 6*l**u - 2*l**5 wrt l?
-120*l**2
Let u(x) = -x**2 + 5*x. Suppose -5*c + 26 = 4*y - 0*c, 0 = 2*y + c - 10. Let a be u(y). What is the derivative of 3*g**2 - a - 2 - 6*g**2 + 2 wrt g?
-6*g
Suppose 0 = -2*w - w + 18. Suppose 5*t = 3*t + w. What is the third derivative of -4*i**3 + i**2 + 3*i**2 - 5*i**t wrt i?
-54
Let t = -23 - -23. Let m(h) be the second derivative of -1/6*h**4 + 0*h**2 + 2/3*h**3 + t + 5*h. Find the second derivative of m(q) wrt q.
-4
Let z(u) be the third derivative of u**7/56 - 5*u**4/8 + u**3 - 18*u**2. Let p(w) be the first derivative of z(w). What is the first derivative of p(x) wrt x?
45*x**2
Let w be 22/(-12)*(-140)/308. Let k(o) be the second derivative of 0*o**3 + w*o**4 - 11/2*o**2 + 0 - 13*o. Differentiate k(g) with respect to g.
20*g
Let r(o) be the first derivative of o**4/4 + 4*o**3/3 - o**2/2 - 3*o + 6. Let x be r(-4). Differentiate -x + 0 + 1 - 7 + 4*b wrt b.
4
Find the third derivative of -241*b**6 - 519*b**6 - 103*b**2 + 63*b**6 + 93*b**2 + 158*b**2 wrt b.
-83640*b**3
Suppose -7 - 13 = -5*w. What is the first derivative of -4*f**4 - 7*f**4 - 19 - 4*f**w wrt f?
-60*f**3
Let v be (-10 - -11)*(1 - -3). Find the third derivative of -15*f**2 + 0*f**2 - 7*f**4 - 9*f**v wrt f.
-384*f
Let x(c) = 609*c**3 - 67*c**2 + 13*c + 13. Let p(l) = 306*l**3 - 34*l**2 + 6*l + 6. Let u(k) = 13*p(k) - 6*x(k). Find the third derivative of u(m) wrt m.
1944
Suppose -4*z + 7*z = 9. Differentiate 7 - z*m + 8*m**2 - m + 4*m with respect to m.
16*m
Let s(o) = -471*o + 158. Let x(c) = -472*c + 149. Let h(i) = -3*s(i) + 4*x(i). What is the derivative of h(g) wrt g?
-475
Suppose -13 = -2*a - 5. Suppose 4*v + 3*c + 5 = 0, 3*v - 2*c = -0*c + 9. What is the derivative of -v + 3*y + 2*y + 4 + a wrt y?
5
Suppose 27*q = 22*q + 15. Find the second derivative of 18*n**3 + 0*n**5 - 18*n**q + 23*n - n**5 wrt n.
-20*n**3
Let q = 250 + -246. Let s(v) be the second derivative of 1/3*v**3 + q*v + 0*v**4 + 0 + 1/30*v**6 + 0*v**5 + 0*v**2. Find the second derivative of s(b) wrt b.
12*b**2
Let b(k) = -k**2 - k - 1. Let q(x) = 81*x**3 + 6*x**2 + 6*x - 50. Let i(a) = -6*b(a) - q(a). Differentiate i(l) with respect to l.
-243*l**2
Suppose -4 = -c - 2. Suppose -c*q + 6 = q. What is the derivative of -14 + 3*o**q + 0 + 2 + 4 wrt o?
6*o
Let y(k) be the first derivative of -16*k**3/3 - 77*k**2/2 - k - 23. What is the second derivative of y(g) wrt g?
-32
Suppose 253 + 296 = 3*w. What is the third derivative of -15*p**6 - 2*p**6 - w*p**3 - 13*p**2 + 183*p**3 wrt p?
-2040*p**3
What is the second derivative of 416 - 2*v - 14*v**2 - 848 + 415 wrt v?
-28
What is the derivative of 22 + 39 + 29 - 5*j**2 + 7*j**2 + 64*j wrt j?
4*j + 64
Let q(m) be the third derivative of 1/2*m**4 + 0 + 0*m + 6*m**2 + 1/20*m**5 + 0*m**3. Find the second derivative of q(k) wrt k.
6
Let n = -82 + 281. Differentiate 33 - n*y**4 - 3 + 195*y**4 wrt y.
-16*y**3
Let i(t) be the first derivative of 487*t**7/7 - 311*t**3/3 - 505. What is the third derivative of i(x) wrt x?
58440*x**3
Suppose -8*u + 4*u = -16. Find the second derivative of -5*z + 10*z**4 - 9*z**u + 16*z**4 wrt z.
204*z**2
Differentiate 867*z + 2*z**4 + 255 + 36*z**2 - 867*z with respect to z.
8*z**3 + 72*z
Let d(h) be the third derivative of 1/4*h**6 + 11/6*h**3 + 0*h + 0*h**5 + 18*h**2 + 0 + 0*h**4. What is the first derivative of d(s) wrt s?
90*s**2
Suppose 7*n = 2*n + 10. Find the first derivative of 4*s**2 - 12 - 5*s**n + s**2 - 15*s**4 wrt s.
-60*s**3
Let x(q) be the third derivative of q**7/1680 + q**6/180 + 2*q**5/15 - 4*q**2. Let k(z) be the third derivative of x(z). Differentiate k(h) with respect to h.
3
Let c be 0 - 4/(8/14). Let r(x) = -2*x - 10. Let l be r(c). Differentiate 1 + l*z + 5*z**2 - 3 - 4*z with respect to z.
10*z
Let r(w) = -242*w**2 + 7*w - 135. Let i(g) = -242*g**2 + 6*g - 135. Let u(s) = -7*i(s) + 6*r(s). Find the first derivative of u(m) wrt m.
484*m
Let c(s) = 14*s - 89. Let r(k) = -2*k - 2. Let j(a) = c(a) + 4*r(a). Differentiate j(q) wrt q.
6
Let c(f) = 20*f**3 - 8*f**2 + 8. Let n(s) = -s**3 - 1. Let a(l) = 5*c(l) + 40*n(l). What is the third derivative of a(t) wrt t?
360
Let m(j) be the second derivative of 22*j**6/15 + j**3/2 - 7*j**2/2 + 10*j. Find the second derivative of m(i) wrt i.
528*i**2
What is the third derivative of -9*h**2 - 8*h**2 + 134*h**5 + 2 + 23*h**2 - 5*h**2 wrt h?
8040*h**2
Suppose -3*y - 2 + 35 = 0. Find the second derivative of -y*o**2 - 6*o + 8*o - 8*o wrt o.
-22
Let f(p) = 132*p**3 + 3*p**2 + 127. Let x(q) = -396*q**3 - 10*q**2 - 381. Let d(s) = 7*f(s) + 2*x(s). Differentiate d(o) with respect to o.
396*o**2 + 2*o
Let s = 6 + -3. Let w = 81 - 79. Find the second derivative of -9*r - 2*r**2 + s*r**2 + r + w*r wrt r.
2
Let l(r) be the third derivative of r**7/315 - r**5/20 - r**4/8 - 5*r**2. Let q(a) be the second derivative of l(a). Find the first derivative of q(s) wrt s.
16*s
Let t(m) be the first derivative of -11*m**5/5 - m**4/2 + 77*m**3 + 220. What is the third derivative of t(u) wrt u?
-264*u - 12
What is the third derivative of 3*g**2 + 48872 - 340*g**3 - 48872 - 543*g**2 wrt g?
-2040
Let s(y) = 383*y - 507. Let r(t) = 1530*t - 2028. Let m(k) = -4*r(k) + 15*s(k). What is the derivative of m(n) wrt n?
-375
Suppose -9*z - 4 = -12*z + o, 4*z + o - 10 = 0. Find the second derivative of -556*q**5 + 5 + 558*q**5 + 9*q**z + 3 - 2*q wrt q.
40*q**3 + 18
Let q be (-20)/(-6) + 12/(-36). Find the second derivative of 22*k + 19*k**q - 8*k**5 - 35*k**3 + 16*k**3 wrt k.
-160*k**3
Suppose -4*k + 2*k + 4 = 0. Find the second derivative of 0*t + 8 - 29*t**2 + t - 25*t**k + 2*t wrt t.
-108
Let u(r) be the first derivative of 30*r**2 - 80*r - 48. Differentiate u(v) wrt v.
60
Let f be 102/12 + 3/6. Find the first derivative of -8*p + 11*p - 2 - 3*p - f*p**3 wrt p.
-27*p**2
Let d(r) be the first derivative of 21*r**4 + 4*r**3/3 - 273*r - 474. Find the first derivative of d(n) wrt n.
252*n**2 + 8*n
Suppose -5*l - 77 = -16*l. Find the third derivative of 35*p**2 - 2222*p**3 + 2262*p**3 + p**2 + l*p**2 wrt p.
240
Suppose -2*j + 5 = 3*k, -5*j - 45 = -3*k - k. Find the third derivative of -139 + 139 - v**2 + 9*v**k wrt v.
540*v**2
Let m(v) = v**3 - v**2 + v - 5. Let w(f) = -8*f**3 + 3*f**2 - 4*f - 498. Let p(z) = 4*m(z) + w(z). What is the first derivative of p(k) wrt k?
-12*k**2 - 2*k
Let t(f) = 70*f**2 - 71*f. Let u(v) = 143*v**2 - 143*v. Let n(k) = -5*t(k) + 3*u(k). Find the second derivative of n(d) wrt d.
158
Let v(q) = 304*q**5 - 6*q**4 + 12*q**3 + 164*q**2. Let r(w) = -w**5 - w**4 + 2*w**3 - w**2. Let y(j) = -6*r(j) + v(j). Find the third derivative of y(p) wrt p.
18600*p**2
Let n = 11 - -14. Suppose n - 4 = 3*p. What is the second derivative of p*l - 4*l**4 - 5 - 3*l + 5 wrt l?
-48*l**2
Suppose 9*b - 15 = 4*b. Let s = 52 - 52. Differentiate -b + s*o**4 + 2*o**4 + o**4 wrt o.
12*o**3
Let h(k) be the second derivative of 105*k**3 + 437*k**2 + 534*k. Find the first derivative of h(n) wrt n.
630
Let y(w) be the second derivative of -13*w**4/12 - 4*w**3/3 - 84*w**2 - 48*w. Differentiate y(k) with respect to k.
-26*k - 8
Suppose 2*p + 2 - 8 = 0. What is the second derivative of 14*o + 20*o**p - 8*o**3 + 3*o wrt o?
72*o
Let w(u) = -4*u - 7. Let v be w(-10). Let m = -31 + v. What is the third derivative of n**2 + 18*n**4 + n**m - 21*n**4 wrt n?
-72*n
Let f(x) = 729*x**3 - 2*x**2 - 6*x - 991. Let h(t) = 3646*t**3 - 12*t**2 - 33*t - 4955. Let a(p) = 11*f(p) - 2*h(p). What is the third derivative of a(n) wrt n?
4362
Suppose 5*o - 13 = -43. Let z = o + 8. Differentiate t + 0*t**z + 2 + 4*t**2 - t wrt t.
8*t
Suppose -g - g + 3*r = 8, r - 6 = -g. What is the third derivative of 17*d**g + 2*d**3 + 11*d