fferentiate a(z) wrt z.
-10*z
Suppose -a + 3 = 2*r, 4*a - 3*r = -a + 54. Let m(v) be the first derivative of -a*v**3 - 3 + 5*v**2 - 7 - 20. Find the second derivative of m(f) wrt f.
-54
Find the second derivative of 20*m**4 - 30*m**3 + 19*m**3 + 15*m**3 - 2*m**3 - 810*m wrt m.
240*m**2 + 12*m
Let d(h) be the second derivative of 1093*h**6/10 + 1385*h**3/2 - 12030*h. Find the second derivative of d(p) wrt p.
39348*p**2
What is the third derivative of 0 - 2242*m**5 + 1239*m**2 - 2941*m**5 - 130*m**2 + 1293*m**5 - 1 wrt m?
-233400*m**2
Suppose -t + 39 = 5*o, -23*o - 2*t - 10 = -24*o. Find the second derivative of 9*v + 10*v**3 - 9*v**4 + 16*v**3 + o*v**3 - 35*v**3 wrt v.
-108*v**2 - 6*v
Let r(t) be the third derivative of -t**2 + 91/24*t**4 + 0*t + 3/2*t**3 + 0. Find the first derivative of r(f) wrt f.
91
Let k(c) be the second derivative of c**5/20 - c**4/24 + 56*c**3/3 - 121*c**2/2 + 8*c - 2. Let i(b) be the first derivative of k(b). Differentiate i(x) wrt x.
6*x - 1
Let k(l) be the third derivative of l**7/42 + 23*l**6/24 + 2951*l**3/6 + 319*l**2. What is the first derivative of k(o) wrt o?
20*o**3 + 345*o**2
Let r(s) = -s**3 + 16*s**2 - 28*s + 4. Let g be r(14). What is the second derivative of -5*d + d + 16 - 1028*d**4 + 926*d**g wrt d?
-1224*d**2
Let w be (2/(-10))/(5/(-125)). Let h = -3 - -6. What is the second derivative of w*b + 11*b**5 - h*b + b - 12*b wrt b?
220*b**3
Let x(y) = -219*y**3 + y**2 + 1577*y - 36. Let r(o) = -875*o**3 + 5*o**2 + 6307*o - 153. Let k(i) = -4*r(i) + 17*x(i). Find the second derivative of k(m) wrt m.
-1338*m - 6
Let o(y) = 2*y**3 - 53*y**2 + 77*y - 47. Let r be o(25). What is the second derivative of -48*h**3 + 21*h**r - 175*h - 54*h**3 - 64*h**3 + 29*h**3 wrt h?
-696*h
Let q be (-119)/(-34)*4/7. Let d = -10 + 12. What is the third derivative of 836*c**3 - 23*c**4 - 836*c**3 + d*c**q wrt c?
-552*c
Let h(n) be the third derivative of 117*n**6/20 - 169*n**5/12 + 242*n**2. What is the third derivative of h(p) wrt p?
4212
Let w(s) be the third derivative of -29/15*s**5 + 0*s + 0 + 0*s**4 - 32*s**2 + 71/6*s**3. Differentiate w(v) with respect to v.
-232*v
Let d = 1793 - 1793. Let g(n) be the second derivative of d*n**3 + 3/10*n**5 + 1/12*n**4 + 0*n**2 + 16*n + 0. What is the third derivative of g(t) wrt t?
36
Find the first derivative of 17*h**2 - 53*h**4 + 46*h**2 - 6*h**2 - 37*h**4 + 1055 + 5*h + 86*h**4 wrt h.
-16*h**3 + 114*h + 5
Let p = -11 + 77. What is the first derivative of 39 + 3*o - 2*o**3 - 13 + p wrt o?
-6*o**2 + 3
Find the third derivative of 9 + 2 - 2872*y**3 + 26*y**2 - 115*y**2 - 6 wrt y.
-17232
Let w = 456 + -449. Let x(q) = 95*q**3 - 9*q**2 - 10. Let n(v) = 95*v**3 - 7*v**2 - 11. Let t(b) = w*x(b) - 6*n(b). What is the third derivative of t(m) wrt m?
570
Let z be ((-240)/3)/(-5)*1. Differentiate -z - 10 - 3*w + 3*w - 67*w**2 with respect to w.
-134*w
Let q(r) be the first derivative of -7383*r**5/5 - r**3 + 197*r**2 - 3*r + 2809. What is the third derivative of q(v) wrt v?
-177192*v
Let a(k) = -89*k**3 - 10*k - 18. Let j(l) = 88*l**3 + 11*l + 17. Suppose 45 = -16*p + 125. Let m(c) = p*j(c) + 6*a(c). Find the second derivative of m(w) wrt w.
-564*w
Let g(o) be the first derivative of -145*o**2/2 - 1246*o - 735. Differentiate g(f) wrt f.
-145
Let y = -731 - -4108. What is the second derivative of -3*v + 8*v**4 + 3378*v**3 + 4*v - y*v**3 + 5 wrt v?
96*v**2 + 6*v
Let v(r) = 70*r**4 - 7*r**3 + 1866*r - 8. Let s(l) = l**4 + 2*l**3 - l + 2. Let k(f) = 4*s(f) + v(f). What is the second derivative of k(w) wrt w?
888*w**2 + 6*w
What is the third derivative of 91*k**4 + 385*k**2 + 3416*k**3 - 1713*k**3 - 1708*k**3 wrt k?
2184*k - 30
Let o = 7424 + -3259. What is the third derivative of o*d - 22 - 4165*d + 2*d**2 + 55*d**3 wrt d?
330
Let s(i) = -856*i**4 - 4*i**2 + 12*i - 269. Let n(q) = 854*q**4 + 3*q**2 - 9*q + 270. Let d(o) = 4*n(o) + 3*s(o). Find the first derivative of d(z) wrt z.
3392*z**3
Let k(m) = -m**2 + 9*m - 26. Let f(h) = 4*h - 13. Suppose -4*s - 209 = -173. Let a(o) = s*f(o) + 4*k(o). Differentiate a(d) wrt d.
-8*d
Let g(x) = 3*x + 2. Let n = 92 + -91. Let f(k) = -36*k**2 + 6*k + 17. Let z(r) = n*f(r) - 3*g(r). Find the first derivative of z(h) wrt h.
-72*h - 3
Let t = 58 + -56. Find the second derivative of 23*h**2 - 8*h**2 - 6*h**t + 4*h**3 - 4*h**2 + 61*h wrt h.
24*h + 10
Let d(c) = -c**3 - 18*c**2 - 18*c - 17. Let f be d(-17). Suppose 6*h + f*h = 204. Find the third derivative of h*g**2 - g**6 + 9*g**6 + 23*g**6 wrt g.
3720*g**3
Let w(d) = -6*d**4 - d**2 + d + 1. Let l(h) = 741*h**4 + h**3 - 6*h**2 + 907*h + 6. Let n(f) = l(f) - 6*w(f). What is the second derivative of n(i) wrt i?
9324*i**2 + 6*i
Suppose -j - 84 + 86 = 0. Find the third derivative of 20*l**2 + 10156*l + 116*l**6 - 10156*l - 77*l**j wrt l.
13920*l**3
Find the second derivative of -65*c**4 + 10*c**4 + 23*c**3 - 217*c**3 + 6972*c + 72*c**4 wrt c.
204*c**2 - 1164*c
Let c(h) be the first derivative of h**6/3 - 781*h**3/3 - 386*h**2 - 506. Find the second derivative of c(n) wrt n.
40*n**3 - 1562
Let a(o) be the first derivative of 4*o**5/5 + 897*o**4/4 + 5144*o**3 + 2448. What is the third derivative of a(l) wrt l?
96*l + 5382
Let g(p) = 10*p**3 + 12*p**2 - 28*p - 7723. Let s(a) = -4*a**3 - 5*a**2 + 13*a + 3860. Let z(d) = -3*g(d) - 7*s(d). What is the derivative of z(u) wrt u?
-6*u**2 - 2*u - 7
Suppose 19 = 4*l + 7. Suppose 0 = -2*o - k + 19, o - 8 = -k + 3. What is the second derivative of -32*u**l + o*u + 3*u + 27*u**3 wrt u?
-30*u
Let a(d) = -3*d - 19. Let n be a(-6). Let z(t) = 69*t**2 + t + 2. Let j be z(n). Differentiate 70*p + 11 - j*p - 5*p**3 wrt p.
-15*p**2
Let q(n) be the third derivative of -1/105*n**7 + 0*n**3 - 3/20*n**5 + 24 - 2*n**2 + 0*n - 1/6*n**4 - 19/30*n**6. What is the third derivative of q(x) wrt x?
-48*x - 456
Suppose 23*p - 31 - 15 = 0. Find the second derivative of -2 + 449*u**p - 230*u**2 - 4*u**3 + 38*u - 233*u**2 wrt u.
-24*u - 28
Let y = -457 + 460. Differentiate -164*h**3 - 22 - 96 + 25*h**3 - 47*h**y wrt h.
-558*h**2
Let u be (-88)/(-576) - (-11)/(-297)*-6. Let v(y) be the third derivative of -u*y**4 + 0 + 0*y + 11*y**2 + 5*y**3. Find the first derivative of v(n) wrt n.
-9
Suppose -m = -4*m - m. What is the third derivative of 232*i**6 - 2 + 0*i**4 + 2*i**4 + m*i**3 + 91*i**2 - 9*i**3 + 9*i**3 wrt i?
27840*i**3 + 48*i
Let s(k) = 60*k**2 - 105*k + 6. Let b(x) = -40*x**2 + 70*x - 4. Let q be 1/6 - 282/(-36). Let r(i) = q*b(i) + 5*s(i). Find the second derivative of r(o) wrt o.
-40
Let c(f) = -737*f**4 + 9*f**3 - 17*f**2 - 18*f - 304. Let z(s) = s**4 + s**3 - 2*s**2 - 2*s. Let v(l) = c(l) - 9*z(l). Find the third derivative of v(t) wrt t.
-17904*t
Let a = -317 - -329. Find the second derivative of -66*z**3 + 127*z - 252*z + z**2 + 127*z - a wrt z.
-396*z + 2
Let f = 25 + -21. Let s(n) = n**2 - 80. Let c be s(-9). Differentiate -22 - 11*v**f - c + 3 - 5*v**4 wrt v.
-64*v**3
Let w be (10/40*0)/(-2 + 1). Let i(u) be the second derivative of 19/2*u**2 - 11/20*u**5 + 0*u**4 + 0*u**3 + w - 7*u. Find the first derivative of i(c) wrt c.
-33*c**2
Let v(t) be the third derivative of -5*t**8/168 + 17*t**6/120 - 1069*t**5/60 + 2*t**2 + 83. Find the third derivative of v(h) wrt h.
-600*h**2 + 102
Let i be 2 + 2/10 - (-2)/(-10). Find the second derivative of 129*a**i - 19*a - 138*a + 42*a + 11*a wrt a.
258
What is the second derivative of -20 + 35*y - 197*y**4 + 216*y**2 - 215*y**2 - 1026*y**4 wrt y?
-14676*y**2 + 2
Suppose 0 = -3*d - 5*h + 1097 - 215, 0 = -2*d - h + 595. Find the third derivative of -76*i**2 + 13*i**3 - 300*i**4 + d*i**4 - 58*i**2 wrt i.
-24*i + 78
Let a(t) be the second derivative of 0*t**6 + 4 + 11*t - 49/20*t**5 + 65/6*t**4 + 1/42*t**7 + 0*t**2 + 0*t**3. Find the third derivative of a(x) wrt x.
60*x**2 - 294
Let x(s) = 5056*s**2 + 47*s + 5. Let a(f) = -5056*f**2 - 44*f - 6. Let k(r) = 4*a(r) + 3*x(r). Find the second derivative of k(t) wrt t.
-10112
Let g(w) = -1889*w**4 - 11*w**2 + 1053*w + 11. Let i(f) = 630*f**4 + 4*f**2 - 351*f - 4. Let d(k) = 4*g(k) + 11*i(k). Find the second derivative of d(x) wrt x.
-7512*x**2
Let a = -765 + 767. Differentiate 0*n**a + 11*n + 261 + 9*n + 9*n - 2*n - n**2 with respect to n.
-2*n + 27
Differentiate 4*a**2 - 19369 + 21141 + 150*a - 2*a**2 wrt a.
4*a + 