2162*w - 116*w**5 + w**4 - 2445308*w + 1 wrt w.
-4420*w**3 + 12*w**2
Let w(f) = 29*f**2 + 6*f + 53. Suppose 3*y - 3*c = 0, 8 = -5*c + 7*c. Let t(l) = -29*l**2 - 7*l - 51. Let r(z) = y*t(z) + 5*w(z). Differentiate r(m) wrt m.
58*m + 2
What is the first derivative of 4372*t + 5690 - 1929*t + 1299*t + 1936*t wrt t?
5678
Let j(s) be the third derivative of 457*s**5/60 - 988*s**3/3 + 2305*s**2. What is the derivative of j(p) wrt p?
914*p
Let v(f) = 309*f - 7. Let i be v(2). Suppose 17*q - 4*q - i = 0. What is the third derivative of -q*o**3 - 44*o**3 + 109*o**3 + 30*o**2 wrt o?
108
Let t(j) = -8*j - 3. Let q be t(-2). Let w = -8737 - -8742. What is the third derivative of -s**w + 7*s**5 - q*s**6 - 20*s**2 - 6*s**5 wrt s?
-1560*s**3
Let h(g) = -92*g**2 + 59*g + 4. Let q(s) = -s**2 + s + 1. Let l be 100 - 100 - 3/((-3)/4). Let v(o) = l*q(o) - h(o). Find the second derivative of v(j) wrt j.
176
What is the second derivative of -1667*a**4 + 2598*a**2 + 835*a**4 + 352 + 3*a - 259*a**2 + 833*a**4 wrt a?
12*a**2 + 4678
Find the second derivative of -84*u**3 - 1379*u - 843*u**5 + 5257*u**5 + 76*u**3 + 8*u**3 wrt u.
88280*u**3
Suppose 0 = 255*b - 250*b - 390. What is the second derivative of b*r + 157*r**3 - 7*r + 44*r**3 + 68*r**3 - 78*r**3 wrt r?
1146*r
Let c(w) be the third derivative of 4181*w**6/60 + 11401*w**5/60 - 4*w**2 - 31*w - 11. Find the third derivative of c(i) wrt i.
50172
Let f(o) = 163*o**3 + 24*o**2 + 11*o - 74. Let k(n) = -4*n**2 - n + 6. Let s(z) = f(z) + 5*k(z). What is the second derivative of s(j) wrt j?
978*j + 8
Find the third derivative of -382*g**3 - 649*g**5 + 382*g**3 - 9 + 70*g**2 + 100*g**2 - 135*g**5 wrt g.
-47040*g**2
Let u(m) = m**2 - 17*m + 52. Let o be u(13). Suppose -2*v + 141 = v. Find the second derivative of -v*n**5 + o*n**5 + 25*n**5 + 41*n wrt n.
-440*n**3
Let t = 7614 + -7606. Suppose 0 = s - 8 - 24. What is the second derivative of -s*u + t*u**2 + 210 - 210 wrt u?
16
Let s(v) be the third derivative of -431*v**6/120 + v**5/60 + 61*v**3/2 + 366*v**2. What is the derivative of s(x) wrt x?
-1293*x**2 + 2*x
Let g = 171 + -150. What is the third derivative of g*p**2 + 131*p**6 + 120*p**6 - 151*p**6 + 1 wrt p?
12000*p**3
Let x(t) be the third derivative of -t**6/24 + 19*t**5/6 - 497*t**3/2 - 1350*t**2. What is the first derivative of x(u) wrt u?
-15*u**2 + 380*u
Suppose 124*x = 127*x + 12. Let u(p) = 59*p**3 + 15*p - 4. Let v(r) = -60*r**3 - 15*r + 3. Let g(q) = x*v(q) - 3*u(q). Find the second derivative of g(t) wrt t.
378*t
Suppose -2*y - 49 = -2*i + i, -5*i = 4*y - 189. What is the first derivative of 12 - 39*k**2 + 0*k**2 - k + 17*k**2 - i*k**2 wrt k?
-126*k - 1
Find the first derivative of 2747*p**3 - 24274661*p**2 - 4040 + 24274661*p**2 wrt p.
8241*p**2
Let b(i) be the first derivative of 1424*i**5/5 - i**4/2 + 2*i**3/3 - 3950*i**2 - 292. What is the second derivative of b(f) wrt f?
17088*f**2 - 12*f + 4
Let o(u) be the first derivative of -37*u - u**2 - 1/2*u**4 + 71 + 0*u**3. Differentiate o(s) wrt s.
-6*s**2 - 2
Suppose 5*w - 4*w - 2 = 0. What is the second derivative of -52*p**w - 7*p - 3 + 24*p**2 + 3*p**3 + 23*p**2 wrt p?
18*p - 10
Let x(r) be the second derivative of -578*r**3/3 + 628*r**2 - 995*r. What is the derivative of x(q) wrt q?
-1156
Let h(y) be the first derivative of 2236*y**5/5 - 4701*y**2/2 + 5570. Find the second derivative of h(z) wrt z.
26832*z**2
Let z(b) = -1422*b**3 - 3*b**2 - 2*b + 58. Let p(k) = 2845*k**3 + 5*k**2 + 11*k - 114. Let t(h) = 3*p(h) + 5*z(h). What is the second derivative of t(u) wrt u?
8550*u
Let k(i) be the first derivative of -2747*i**4/2 + 5719*i**3/3 - 156. Find the third derivative of k(q) wrt q.
-32964
Suppose -s - 84 = -4*s. What is the second derivative of -122*z - z**4 - s*z**5 + 9*z + 4*z**4 + 17*z**5 wrt z?
-220*z**3 + 36*z**2
Let d(b) be the first derivative of 0*b**2 - 3/4*b**4 + 0*b**3 - 45*b + 3. What is the first derivative of d(g) wrt g?
-9*g**2
Let k be (65/(-52))/(1/(-12)). Suppose k*n = 10*n + 25. What is the second derivative of 3*l**5 + 3*l**5 - 12*l + 2*l**n - 4*l wrt l?
160*l**3
Suppose 55*a - 62*a = -343. Differentiate -47 - 4 - a*c**2 - 3*c**2 - 19*c**2 wrt c.
-142*c
Let t(o) be the second derivative of -31*o**8/56 + 37*o**7/21 + 709*o**4/2 + 1649*o. Find the third derivative of t(r) wrt r.
-3720*r**3 + 4440*r**2
Let d(y) = 2928*y**3 - 3123*y**2 + 18*y - 18. Let c(p) = -732*p**3 + 781*p**2 - 4*p + 4. Let r(h) = 9*c(h) + 2*d(h). Find the third derivative of r(t) wrt t.
-4392
Let j(h) = h**3 - 15*h**2 + 12*h + 30. Let m be j(14). What is the third derivative of 342*k**m - 154*k**3 - 301*k**2 - 31*k**3 + 172*k**2 wrt k?
-1110
Suppose 2*v = -4*v + 30. Suppose -v*k + 193 = 4*l - 3*l, 2*l = 4*k + 358. What is the second derivative of 87*u**5 - 13*u + 78*u**5 - l*u**5 wrt u?
-360*u**3
What is the second derivative of 1096 + 2523*d**2 + 958 + 32525*d - 32523*d wrt d?
5046
Suppose 9372 = 5*b + 1012. What is the second derivative of -2 + 11*q - 22*q**3 + 1667*q**2 + 108*q - b*q**2 + 2 wrt q?
-132*q - 10
Suppose -5*d + 3*y + 35 = 0, 39*d + y = 36*d + 7. Find the second derivative of d*b - 3*b**4 - 1012*b**2 + 1011*b**2 + b wrt b.
-36*b**2 - 2
Let w = -8 + 12. Find the third derivative of 353*c**5 + 356*c**5 + 64*c**2 + 2*c**w - 3*c**6 - 709*c**5 wrt c.
-360*c**3 + 48*c
Let j(s) = -604*s - 586. Let p(z) = 1208*z + 1175. Let m(h) = -7*j(h) - 3*p(h). Find the first derivative of m(v) wrt v.
604
Let v(t) be the second derivative of 352*t**4/3 + t**3/3 - 5653*t**2 - 3218*t. Differentiate v(k) with respect to k.
2816*k + 2
Let g(m) be the first derivative of -m**4/4 + 2*m**3/3 + 3*m**2 - 7*m + 22. Let d be g(3). Find the third derivative of u**2 + 7*u**2 - u**d - 7*u**4 wrt u.
-168*u
Find the third derivative of 333*j**6 + 958*j**2 + 4 + 184*j**6 - 4 wrt j.
62040*j**3
What is the first derivative of -4830 + 257*w**3 + 1226 - 134*w**2 + 137*w**2 + 382*w**3 - 68*w**3 wrt w?
1713*w**2 + 6*w
Let f(v) = -1781*v**3 - 6*v**2 - v - 1. Let t(r) = 3561*r**3 + 10*r**2 + r + 6. Let d(c) = 5*f(c) + 3*t(c). What is the second derivative of d(n) wrt n?
10668*n
Let r(y) = 2*y**4 - y**3 + 3*y + 1. Let d(g) = 251*g**4 + g**3 - 72*g**2 - 3*g + 2. Let q(l) = -d(l) - r(l). Find the third derivative of q(c) wrt c.
-6072*c
What is the first derivative of -50*q**3 + 32*q**3 + 10*q**3 + 445 + 684*q**2 + 10*q**3 wrt q?
6*q**2 + 1368*q
Let y(m) be the second derivative of -m**5/20 - 5551*m**4/12 - 7*m**3 - 18*m**2 - 646*m. What is the second derivative of y(k) wrt k?
-6*k - 11102
Let n = -94 + 113. Let h(r) be the first derivative of 1 + n + 12*r**3 + 5*r**2 + 10*r**2 + 24. What is the second derivative of h(a) wrt a?
72
Let b(r) = 20*r - 17. Let z be b(1). What is the derivative of -13*h**2 + 28 - 23 + 24 + 21 + 12 - z*h wrt h?
-26*h - 3
Suppose 4*w + 0*r + 3*r = 20, -5*r + 12 = 4*w. Let t be 6/(-2 + 28/w). Find the first derivative of 12*s**4 - 2*s**4 + 5 + 0 + s**t wrt s.
44*s**3
Suppose 17*a - 21*a = 40. Let f be a/(-3) - (70/(-15) + 4). Differentiate -23 + 18*b**f + 2 - 5 with respect to b.
72*b**3
Suppose 0 = 5*l + 9 - 39. Let z(b) = -4*b - 11. Let t be z(-7). Differentiate 2*h + t*h + 19 - 3 - l*h with respect to h.
13
Let q(c) = c + 13. Let w be q(-9). Find the third derivative of -2*b**5 - 283*b - w*b**6 - b**2 + 283*b wrt b.
-480*b**3 - 120*b**2
Let i(r) be the second derivative of -5000*r**3/3 + 2729*r**2/2 + r + 264. What is the derivative of i(z) wrt z?
-10000
Let v(t) be the second derivative of 2137*t**7/21 - 5641*t**4/12 - 2768*t. Find the third derivative of v(n) wrt n.
256440*n**2
Suppose 182*w = 189*w - 28. What is the derivative of -w*j**3 - 5852 - 3*j**2 + 5890 - 5*j + 3*j**2 wrt j?
-12*j**2 - 5
Let b be ((-138)/24 + 6)*(-16)/(-4). What is the third derivative of -h**3 - 13208*h**2 + 2 + 13217*h**2 + b + 7*h**5 wrt h?
420*h**2 - 6
Let a(w) be the first derivative of 69/2*w**2 + 0*w**4 - 58 + 0*w**3 + 0*w - 9/5*w**5. Find the second derivative of a(d) wrt d.
-108*d**2
Suppose 4*m + 4*m = 144. Suppose m = 4*d + 2. Find the third derivative of -2*a**2 + a**3 + 7*a**3 + 12*a**3 + d*a**2 wrt a.
120
Let y(h) be the first derivative of 95 - 257/2*h**2 + 48*h. What is the first derivative of y(s) wrt s?
-257
Let w be 1/(-6) - 345/90. Let a be -2 - (-2 - -1) - w. What is the 