- (6/9)/2. Find the second derivative of a*q**4 + q**5 + 7*q - y*q**4 + 0*q**5 wrt q.
20*q**3
Find the third derivative of 458*y**5 + 2583*y**5 - 209 - 9*y**2 - 331*y**5 wrt y.
162600*y**2
Let v(c) = c**3 - 12*c**2 + 30*c - 18. Let m be v(9). What is the third derivative of -3*z**4 + 111*z + z**2 - 3*z**5 - 94*z + m*z**5 wrt z?
360*z**2 - 72*z
Suppose -8*x + 2*x + 24 = 0. Differentiate -137 + 27*t**x + 3*t**4 + 38*t**4 + 31*t**4 wrt t.
396*t**3
What is the second derivative of 259*q + 823*q + 26*q**3 + 11*q**4 + 7*q**3 - 21*q**4 wrt q?
-120*q**2 + 198*q
Suppose -4*g + g = 786. Let t = -87 - g. What is the second derivative of -15*m**3 + t*m - 190*m + 3*m**3 wrt m?
-72*m
Let w(d) = -143*d**3 - 8*d + 771. Let x(m) = -285*m**3 - 20*m + 1541. Let p(v) = -5*w(v) + 2*x(v). Differentiate p(z) wrt z.
435*z**2
Let d(a) = a**3 - 13*a**2 - 44*a - 38. Let p be d(16). Suppose 4*s - 12 = -0*s. Differentiate -30 - 13*g**4 - 26*g**3 + 52*g**3 - p*g**s with respect to g.
-52*g**3
Let x(c) = -833*c**5 - 6*c**4 - 374*c - 30. Let v(s) = 832*s**5 + 5*s**4 + 375*s + 25. Let k(m) = -6*v(m) - 5*x(m). What is the second derivative of k(l) wrt l?
-16540*l**3
Let s(p) = -284*p**2 + 79*p + 470. Let b(l) = -853*l**2 + 224*l + 1410. Let z(x) = 6*b(x) - 17*s(x). Differentiate z(m) with respect to m.
-580*m + 1
Let u(g) be the third derivative of 1291*g**4/24 + 1415*g**3/3 - 2554*g**2. Differentiate u(h) with respect to h.
1291
Let g(j) be the first derivative of 3/2*j**2 + 3*j**4 + 0*j + 11 - 7*j**3. Find the third derivative of g(w) wrt w.
72
Let u(l) = -89325*l**4 - 38167. Let g(k) = 9925*k**4 + 4241. Let r(q) = 53*g(q) + 6*u(q). Differentiate r(o) with respect to o.
-39700*o**3
Let s(q) = 2943*q**2 + 18*q - 2684. Let t(a) = 2945*a**2 + 15*a - 2686. Let z(x) = -5*s(x) + 6*t(x). What is the derivative of z(f) wrt f?
5910*f
Suppose -280 = 30*l - 370. Suppose -2*r - 12 = -34. Differentiate -4*p - 11 + l*p - 5*p + r*p with respect to p.
5
Let c(d) = 16*d - 4. Let a(u) = 3*u - 1. Let g(w) = 11*a(w) - 2*c(w). Let h be g(5). What is the third derivative of k**3 + 8*k**h + 5*k**3 + 6*k**3 wrt k?
72
Let p(h) = 14*h**3 + 8*h**2 + 140*h + 6. Let r(i) = 5*i**3 + i - 1. Let y(a) = -p(a) - 6*r(a). Find the second derivative of y(m) wrt m.
-264*m - 16
Let x(m) = 681*m**2 + 249*m. Let t(h) = h**2. Let r(y) = 12*t(y) - x(y). Find the second derivative of r(v) wrt v.
-1338
Let y = -48 + 48. Suppose 5*t + 3*z - 76 = -y*t, 0 = t - z - 20. Find the second derivative of 23*b**5 + 3*b - t*b + 7*b wrt b.
460*b**3
What is the derivative of -8079 + 17556 - 8609 - 25*g**2 + 4*g wrt g?
-50*g + 4
Let j(u) be the first derivative of -19*u**5/20 - 29*u**3/2 - u**2 + 5*u - 57. Let n(y) be the second derivative of j(y). What is the derivative of n(h) wrt h?
-114*h
Find the second derivative of -7945 + 10256*r**2 - 12895*r + 7945 wrt r.
20512
Let q(d) = 701*d**3 + 680*d. Let i = 273 + -277. Let z(c) = 234*c**3 + 227*c. Let h(s) = i*q(s) + 11*z(s). What is the second derivative of h(f) wrt f?
-1380*f
Let v(a) = 52*a**3 - 18*a**2 + 24*a - 192. Let z(w) = -18*w**3 + 5*w**2 - 8*w + 64. Let o(y) = -2*v(y) - 7*z(y). Find the second derivative of o(p) wrt p.
132*p + 2
Let d = -225 + 388. Find the third derivative of 494*a**4 - 164*a**4 + 64*a**2 - d*a**4 - 157*a**4 - 3*a**3 wrt a.
240*a - 18
Let o(d) be the first derivative of 0*d - 59/6*d**6 + 150 + 0*d**4 + 0*d**5 + 0*d**3 - 75/2*d**2. Find the second derivative of o(y) wrt y.
-1180*y**3
Let g(a) = -a**2 + 15*a - 23. Let d be g(13). Suppose -4*f - y + 90 = -0*f, 0 = -4*f + d*y + 98. Differentiate f*q**3 + 2*q**3 - 16 - 3 - 6 with respect to q.
75*q**2
Suppose -c + 3 = -k, -3*c - 4*k + 9 = -0*k. Find the second derivative of -2*o**2 - 12*o**c + 51*o - 6*o - 12*o wrt o.
-72*o - 4
Let j(u) be the first derivative of -2409*u**5/5 + 1939*u**3/3 - 4091. What is the third derivative of j(f) wrt f?
-57816*f
Let v = 107 + -105. Find the second derivative of -11*j**2 - 11*j**2 + j - 23*j**v - 33 wrt j.
-90
Let s(o) = -6111*o**3 - 5*o**2 - 2711*o + 5. Let d(q) = -3057*q**3 - 3*q**2 - 1356*q + 3. Let m(r) = 5*d(r) - 3*s(r). Find the second derivative of m(g) wrt g.
18288*g
Find the third derivative of -3468*f**2 - 14*f + 12681*f**3 + 6804*f**2 - 14 - 3325*f**2 wrt f.
76086
Suppose -4*d - 49 = -29. Let z be d*5/(75/(-66)). Find the second derivative of 2*l - 8*l**4 + z*l**4 + 13*l + 2*l wrt l.
168*l**2
Let u(b) = 2*b**3 + 2*b**2 - 3*b + 2. Let c be u(2). Differentiate -16 + c + 37*s**2 + 8 + 2 with respect to s.
74*s
Let t(u) = 40*u**3 + 21*u**2 + 98*u + 405. Let b(x) = 20*x**3 + 12*x**2 + 49*x + 203. Let o(n) = 7*b(n) - 4*t(n). Find the first derivative of o(k) wrt k.
-60*k**2 - 49
What is the third derivative of 5339 + 1106285*y**4 - 2*y**2 - 1117478*y**4 + 0*y**2 wrt y?
-268632*y
Suppose -4*o - o + 835 = 5*a, 5*o = 4*a + 862. What is the derivative of 173*r + 16*r**4 - 42*r**4 - o*r - 128 wrt r?
-104*r**3 + 3
Let m(z) be the second derivative of 4093*z**5/20 + 119*z**4/12 + 7*z**2/2 - 2009*z. What is the third derivative of m(q) wrt q?
24558
Let h be 18/12 + 1/2. Let q(d) = 2 + d - 3 - 207*d**2 + 206*d**h. Let m(z) = -14. Let s(k) = 2*m(k) - 28*q(k). What is the second derivative of s(a) wrt a?
56
Let s(k) = -3*k**2 + 382*k - 757*k - 12*k**2 + 385*k + 42. Let i(c) = 15*c**2 - 8*c - 43. Let y(l) = -4*i(l) - 3*s(l). Differentiate y(o) wrt o.
-30*o + 2
Let j(t) be the first derivative of -4 + 0*t**4 - 6*t**2 + 0*t**3 + 13*t - 17/20*t**5. Let v(z) be the first derivative of j(z). Differentiate v(o) wrt o.
-51*o**2
Let j be ((-1)/(-1)*-1)/((-4)/80). Suppose -12 = -f + 2*s, f = 2*f - 3*s - 17. What is the third derivative of -7*u + 6*u + u - j*u**3 + 31*u**f wrt u?
-120
Let v(c) = -c**2 - 3*c + 12. Let g = 14 - 19. Let k be v(g). Find the third derivative of 3*m**3 - 6*m**2 - 3*m**3 + 4*m**k + 15*m**3 wrt m.
90
Let a be 780/7 - 16/(-28). Suppose -2*n = 5*d - 34, -2*d - a = -5*n - d. Find the second derivative of 27*y**2 + 6*y**2 - 18*y - n*y + 7*y wrt y.
66
Let s(i) be the second derivative of 0*i**4 + 0*i**3 + 0 - 52*i**2 + 134*i - 1/10*i**5 - 23/10*i**6. Differentiate s(b) with respect to b.
-276*b**3 - 6*b**2
Let a(n) be the first derivative of 5121*n**5/5 + 13935*n - 3549. Differentiate a(p) wrt p.
20484*p**3
Suppose 0 = 4*l - 3*y - 158, 0 = -3*l + 2*y - 0*y + 119. Find the third derivative of 5*x - 59*x**2 - 5*x - 45*x**5 + 2*x**3 + l*x**5 wrt x.
-240*x**2 + 12
Let k(d) be the second derivative of -1/2*d**2 - 1/6*d**3 - 14/3*d**4 - 24*d + 0. What is the derivative of k(v) wrt v?
-112*v - 1
Let d(z) be the first derivative of -4035*z**4/4 + 1437*z + 2359. Find the first derivative of d(b) wrt b.
-12105*b**2
Let h(b) = -26 - 3*b + 10 + 11*b. Let o(j) = 8*j - 15. Let z be (-10)/25*(-20)/8*-6. Let s(d) = z*o(d) + 5*h(d). Differentiate s(n) wrt n.
-8
Let g(b) be the first derivative of -8431*b**3/3 - b**2/2 - 13070*b - 1730. What is the derivative of g(k) wrt k?
-16862*k - 1
Let l(x) be the first derivative of 0*x + 31/60*x**5 - 41/2*x**2 + 17/3*x**3 + 33 + 0*x**4. Let w(i) be the second derivative of l(i). Differentiate w(q) wrt q.
62*q
Let k(m) = 2827*m**2 - 163*m. Let w(a) = -2827*a**2 + 164*a. Let v(f) = 4*k(f) + 3*w(f). Find the second derivative of v(i) wrt i.
5654
Let a(l) be the second derivative of 0*l**5 + 0*l**7 - l**2 + 10/7*l**8 + 0*l**3 + 0*l**6 + l + 3/4*l**4 + 12. Find the third derivative of a(j) wrt j.
9600*j**3
Let r be 2190/66 - (-6)/(-33). What is the third derivative of 227*v**6 - 89*v**4 - 2*v + 25*v**2 + r*v**4 + 56*v**4 wrt v?
27240*v**3
Let a(u) = 663*u**2 + 4*u - 2622. Let y(o) = -2*o + 1. Let t(c) = -a(c) - 2*y(c). Find the first derivative of t(k) wrt k.
-1326*k
Suppose -20*a = -13*a - 98. Find the first derivative of 28 + 84*t - 55*t + 78*t + 31 - a wrt t.
107
Let p = 1811 - 1811. Let u(x) be the first derivative of 13*x + p*x**2 - 22/5*x**5 + 26 + 0*x**4 + 0*x**3. What is the first derivative of u(b) wrt b?
-88*b**3
Find the second derivative of 273 + 3*g + 4646*g**2 + 1094*g**2 - 694*g**2 wrt g.
10092
Let t(x) be the third derivative of -475*x**8/168 + 55*x**5/12 + 169*x**2. What is the third derivative of t(i) wrt i?
-57000*i**2
What is the first derivative of -1202*l + 802 - 1201*l - 627*l**3 + 3601*l - 1198*l wrt l?
-1881*l**2
Find the 