- 9*z**n wrt z?
-12*z**2 + 25
Let i(y) be the third derivative of -142*y**5/15 - y**4/12 + 302*y**3 + 6*y**2 + 44*y + 1. Find the second derivative of i(a) wrt a.
-1136
Let b(w) be the third derivative of w**8/112 + w**6/40 - 227*w**5/60 + 5167*w**4/24 - 2*w**2 + 78*w - 3. Find the second derivative of b(r) wrt r.
60*r**3 + 18*r - 454
Find the first derivative of 1117*o**2 - 544 - 1064 - 1933*o**2 wrt o.
-1632*o
Let x be 10/6*3 + -7. Let o be (-8)/4 + 3 - x. What is the second derivative of 3 - 109*w + 52*w - o*w**4 + 2*w**3 + 53*w wrt w?
-36*w**2 + 12*w
Let c = -7053 - -7055. Let l(y) be the first derivative of -7*y**c + 3 + 16/3*y**3 + 0*y. What is the second derivative of l(w) wrt w?
32
Let w = -52 - -63. Suppose 4*h = -w - 5, r - 4*h = 47. Find the second derivative of 9*f + 0 + 0 - 32*f**3 + r*f wrt f.
-192*f
Let l(m) be the third derivative of 1055*m**4/24 + 862*m**3/3 + 4*m**2 - 127. Differentiate l(f) with respect to f.
1055
Let i = 54 + -17. Differentiate -814 + 785 + 30*g + 36*g + i*g wrt g.
103
Let m(y) = 2*y**3 - 1. Let x(d) = 397*d**3 - 3235. Let u(l) = -2*m(l) - x(l). What is the first derivative of u(v) wrt v?
-1203*v**2
Let z(t) be the third derivative of t**8/168 - 65*t**6/24 - 481*t**5/10 + 657*t**2 - 2*t. What is the third derivative of z(p) wrt p?
120*p**2 - 1950
Let t(p) be the second derivative of 1528*p**7/21 + 407*p**3/2 - p**2/2 - 1610*p. What is the second derivative of t(c) wrt c?
61120*c**3
Let f(x) = -1985*x**3 + 4*x**2 + 62. Let c(d) = 3972*d**3 - 10*d**2 - 124. Let n(k) = 4*c(k) + 10*f(k). Differentiate n(w) with respect to w.
-11886*w**2
Let q(c) be the second derivative of 1/6*c**3 + 0*c**2 - 1/42*c**7 + 0*c**6 + 0*c**5 - 1 + 2*c - c**8 - 15/4*c**4. Find the third derivative of q(k) wrt k.
-6720*k**3 - 60*k**2
Let l(u) be the third derivative of 59*u**8/336 + u**6/20 - 77*u**4/12 + u**3/3 - 251*u**2. Find the second derivative of l(c) wrt c.
1180*c**3 + 36*c
Let i(k) be the second derivative of 133*k**6/3 + 131*k**3/3 + 1307*k. What is the second derivative of i(f) wrt f?
15960*f**2
Let j be (3/(-5))/((-294249)/8170 - -36). Let h(q) be the first derivative of 28*q - 35/2*q**2 + j. Differentiate h(l) wrt l.
-35
Let r(b) be the first derivative of 219*b**5 - 431*b**2 + 1028. What is the second derivative of r(d) wrt d?
13140*d**2
What is the derivative of -270*s + 3791*s + 413 - 6192 + 3401*s - 441*s wrt s?
6481
Let p(r) be the third derivative of 7*r**5/5 + 593*r**4/24 + r**3/2 + 546*r**2 - 2*r. What is the second derivative of p(f) wrt f?
168
Let c(m) = m**2 + 11*m - 11. Let t be c(1). Differentiate 9*o**3 + 58*o**3 - t + 6 + 17 with respect to o.
201*o**2
Let v(p) = -7*p - 31. Let q be v(-15). What is the second derivative of q*d**3 + 13*d**3 + 111*d - 46*d wrt d?
522*d
What is the second derivative of -17*o**2 + 62*o**2 - 32*o**2 - 1377*o**4 - 13*o**2 - 1850*o wrt o?
-16524*o**2
Let k(d) = -1375*d**5 - 5*d**3 + 40*d**2 + 3623*d + 5. Let n(a) = -a**5 + a**3 - 8*a**2 - 1. Let f(x) = k(x) + 5*n(x). Find the second derivative of f(y) wrt y.
-27600*y**3
Let a(g) = 415*g**2 - 1272*g. Let d(l) = 427*l**2 - 1273*l. Let s(o) = 3*a(o) - 4*d(o). What is the second derivative of s(f) wrt f?
-926
Let y(i) = -28*i**2 + 17*i - 2. Let s(d) = -15 + 42 - 17 - 29*d**2 + 15*d - 13. Let b(j) = 2*s(j) - 3*y(j). What is the second derivative of b(u) wrt u?
52
Let z(u) = 3*u**2 - 75*u + 747. Let i(w) = 3*w**2 - 77*w + 749. Let n(m) = 4*i(m) - 3*z(m). What is the first derivative of n(k) wrt k?
6*k - 83
Let y(u) be the second derivative of -82*u**6/5 - u**5/10 - u**3/2 + 57*u**2/2 - 585*u. What is the second derivative of y(s) wrt s?
-5904*s**2 - 12*s
Let k(c) = -6*c**3 + 3177*c**2 + 4*c - 203. Let r(h) = 7*h**3 - 3176*h**2 - 5*h + 205. Let y(w) = 5*k(w) + 4*r(w). Find the first derivative of y(u) wrt u.
-6*u**2 + 6362*u
Suppose 5*l - 2*l + 10 = -5*q, 3*q - 5*l + 6 = 0. Let i be (-1)/q - 39/(-26). Differentiate -2*o**2 + 5*o**2 + i*o**2 + 12 with respect to o.
10*o
Let w(k) = 4402*k**3 + 6590*k**2 - 12. Let a(j) = -1761*j**3 - 2636*j**2 + 5. Let l(p) = 12*a(p) + 5*w(p). Find the third derivative of l(t) wrt t.
5268
Let v(z) = -3055*z**4 - 8*z**2 - 12*z - 1945. Let t(y) = -6108*y**4 - 14*y**2 - 21*y - 3888. Let d(o) = 4*t(o) - 7*v(o). Differentiate d(x) wrt x.
-12188*x**3
Let u(h) be the second derivative of 97/20*h**5 - 36*h + 1/3*h**4 + 1/2*h**2 - 2 + 0*h**3. What is the third derivative of u(s) wrt s?
582
Let p(d) = 14 - 2*d - 3*d + 4*d - 13. Let g(r) = -r - 9*r + 0 + 9. Let t(q) = 2*g(q) - 6*p(q). What is the first derivative of t(y) wrt y?
-14
Let q(v) = -16607*v**3 - 14*v**2 + 6*v + 12. Let o(n) = -8303*n**3 - 7*n**2 - n + 7. Let y(r) = 7*o(r) - 4*q(r). What is the third derivative of y(k) wrt k?
49842
Let a(j) = -1270*j - 670. Let d(q) = -2*q + 9. Let u(k) = a(k) - 5*d(k). What is the derivative of u(c) wrt c?
-1260
Let v(s) be the second derivative of -321*s**5/5 - 129*s**2/2 - 25*s - 7. Differentiate v(n) wrt n.
-3852*n**2
Let z(h) = 2*h**4 + 11*h**3 - h. Let p(t) = 425*t**4 - 44*t**3 - 2928*t**2 + 4*t. Let f(b) = p(b) + 4*z(b). What is the third derivative of f(g) wrt g?
10392*g
Let m(b) be the second derivative of 2725*b**4/12 + 74*b**3 + 43*b + 62. What is the second derivative of m(s) wrt s?
5450
Let g be (-11 - -7)/16 - (-77)/4. Find the third derivative of 2*h**2 - h**4 - 7*h**2 + g*h - h**2 + 7*h**2 wrt h.
-24*h
Let j(i) be the third derivative of 1/12*i**6 + 0*i**4 + 0 - 17*i**2 - 3*i - 11/210*i**7 + 0*i**3 - 26/15*i**5. Find the third derivative of j(f) wrt f.
-264*f + 60
Let n(b) be the first derivative of -26*b**5/5 + b**4 + 203*b + 1025. What is the derivative of n(w) wrt w?
-104*w**3 + 12*w**2
Let l(d) = 30*d**4 + d**3 - d**2 + 1. Let t(v) = 2473*v**4 + 3*v**3 + 1623*v**2 + 3. Let q(c) = 6*l(c) - 2*t(c). What is the third derivative of q(a) wrt a?
-114384*a
Suppose 3*h + 21 = 0, 2*s + 21 = 4*s - 3*h. Let a(t) be the third derivative of -3*t**2 + s*t + 2/3*t**3 + 1/4*t**4 + 0. What is the derivative of a(i) wrt i?
6
Let h(n) be the second derivative of 4073*n**6/30 + n**3/6 - 435*n**2 - 7*n + 357. What is the second derivative of h(i) wrt i?
48876*i**2
What is the second derivative of 1737*m**2 + 4620*m**2 + 426*m + 2489*m wrt m?
12714
Let f(g) be the third derivative of 0*g**7 - 27*g**2 + 0*g - 9/112*g**8 + 0 + 0*g**4 + 0*g**6 + 1/30*g**5 - 7/6*g**3. Find the third derivative of f(q) wrt q.
-1620*q**2
Let k be (-1)/(-4) - 152/(-32). Suppose k*j = j. What is the second derivative of 5*x**2 + 8*x**2 - 11*x + j*x**2 + 2*x wrt x?
26
Let b(r) be the third derivative of -1157*r**6/120 - r**3 - 135*r**2. Differentiate b(q) wrt q.
-3471*q**2
Let w(b) = -4*b**3 + 2*b**2 - 1. Let i be w(-1). Let z be 9 - (25/i + -2). Differentiate -z*y**2 - 3 - 3 - 4 - 2 wrt y.
-12*y
What is the derivative of -843 - 1086 + 88*m**3 + 790 - 542 - 33*m**3 wrt m?
165*m**2
Let d(l) = 5*l**2 + 138*l - 889. Let f(t) = -2*t**2 - 3. Let k(i) = d(i) + 4*f(i). Differentiate k(b) with respect to b.
-6*b + 138
What is the second derivative of 1561 + l + 148*l**4 - 4*l**3 + 22*l**4 + 4*l**3 + 243*l**4 + 2*l**3 wrt l?
4956*l**2 + 12*l
Suppose -3*c - 10 - 47 = 5*r, -r - 2*c = 17. Let l = 23 + r. What is the second derivative of -3*q + 7*q - 3*q - l*q**3 wrt q?
-84*q
Suppose -12*y + 101 + 451 = 0. Let o be (18/7)/((-6)/(-28)). What is the second derivative of o*v + 3*v - 51*v**2 - v - 47 + y wrt v?
-102
Let t be (96/(-18) - -5)/((-3)/18). Find the second derivative of -27*b + 222*b**2 - 27*b - 62*b**t wrt b.
320
Let n(q) be the first derivative of 19 + 7/3*q**6 - 2/3*q**3 + 1/4*q**4 + 0*q**5 + 0*q**2 + 19*q. What is the third derivative of n(h) wrt h?
840*h**2 + 6
Suppose -1571*c - 165 = -1574*c. What is the third derivative of 54*t**5 + 33*t - c*t**2 + 23*t + 20*t**5 - 55*t wrt t?
4440*t**2
Suppose 4*z + 0*z = 4*x + 256, 193 = 3*z - 2*x. Suppose 10 = -v + 5*d, -3*v - 5*d = -d - z. Find the first derivative of 1 - 3 - v - 19*w**2 + 6 wrt w.
-38*w
Let c be 1/3 - (8/(-12) - 0). Let x be ((4 - -1) + -2)/c. What is the second derivative of 12*s**x - 16*s**3 + 7*s**3 + 25*s wrt s?
18*s
What is the derivative of 2986*k**2 - 497 - 31*k**3 - 6020*k**2 + 2987*k**2 wrt k?
-93*k**2 - 94*k
Let n(m) = m + 26. Let v be n(-18). Let u = 3 + v. What is the second deri