03. Find the first derivative of c(i) wrt i.
-1044*i**2
Let f be (-18)/(-18)*(0 - 0). Suppose 25*j - 26*j = f. Differentiate j - 1 - 2 - y**3 - 11*y**3 with respect to y.
-36*y**2
Let r(f) = -925*f**2 + 3*f - 1653. Let l(j) = -4624*j**2 + 17*j - 8265. Let t(a) = 2*l(a) - 11*r(a). Find the first derivative of t(g) wrt g.
1854*g + 1
Let r(d) = 2442*d + 11843. Let w(q) = -349*q - 1697. Let b(g) = 4*r(g) + 30*w(g). Differentiate b(h) wrt h.
-702
Let i(q) = q - 4. Let t be i(4). Suppose 0 = 4*c + 2*c - 24. Find the second derivative of 16*a + t*a**2 + 0*a**2 + c*a**2 + 4*a**2 wrt a.
16
What is the third derivative of -43159*t**4 - 2 + 35*t**5 - 49*t**6 - 234*t**2 + 43159*t**4 - 3*t wrt t?
-5880*t**3 + 2100*t**2
Let y(f) be the second derivative of 0*f**5 + 0*f**2 + 267*f + 0*f**4 + 0*f**6 + 0 + 13/2*f**3 + 52/21*f**7. What is the second derivative of y(i) wrt i?
2080*i**3
Differentiate 772*s - 127*s**4 - 176*s**4 + 305*s**4 + 3231 with respect to s.
8*s**3 + 772
Find the third derivative of 947*y**2 + 5849*y**5 - 773*y**4 + 152*y**2 - 2 - 5846*y**5 wrt y.
180*y**2 - 18552*y
Suppose -2 + 27 = 5*y. Let s(u) = -u**3 + 4*u**2 + 9*u - 4. Let v be s(y). Find the second derivative of v*z**5 - 2*z - z + 29 - 29 wrt z.
320*z**3
Let m(o) = 14*o - 94. Let b be m(7). What is the third derivative of 108*u**b + 12540 - 12540 + 167*u**2 wrt u?
2592*u
Find the third derivative of -523*l - 635*l**3 + 527*l - 152*l**3 - 68*l**2 - 23*l**3 - 34*l**3 wrt l.
-5064
Suppose 0 = -31*z + 26 + 129. Find the second derivative of -k**z + 6*k**3 + 1 - 17*k - 2*k**2 + 15*k**2 - 2*k**2 - 11*k**2 wrt k.
-20*k**3 + 36*k
Suppose 83 = 42*t - 43. Find the second derivative of -12*c**t - 10*c + 13 - 3*c**2 - 13 + 17*c - 119*c wrt c.
-72*c - 6
Differentiate 647 + 68*u**4 - 21*u**4 - 172*u**4 + 348 with respect to u.
-500*u**3
Let b(i) = 2*i**3 - 8*i**2 - 26*i - 12268. Let h(o) = o**3 - 7*o**2 - o - 1. Let z(n) = -b(n) + h(n). What is the first derivative of z(m) wrt m?
-3*m**2 + 2*m + 25
Suppose -6*g - 14 = 8*g. Let d(b) = b**2 + b. Let h(k) = -110*k**2 - 30*k + 15. Let a(f) = g*h(f) - 30*d(f). Differentiate a(t) with respect to t.
160*t
What is the second derivative of 40*m + 1272*m**2 - 13027*m**2 + 902*m**2 - 41 wrt m?
-21706
Let z(v) = 597*v**2 + 17 + 2*v - 488*v**2 + 9. Let p(c) = 113*c**2 + c + 25. Let t(q) = -5*p(q) + 4*z(q). What is the second derivative of t(s) wrt s?
-258
Find the second derivative of -1385*r**3 - 8*r**2 + 6737*r + 7*r**2 + 1583*r wrt r.
-8310*r - 2
Let z(u) be the third derivative of -697*u**6/10 - 13*u**4/12 - 109*u**3/6 - 5064*u**2. Find the second derivative of z(i) wrt i.
-50184*i
Find the third derivative of 19*a**4 + 2*a**5 - 1865*a**2 - 37*a**4 - 67*a**3 + 19*a**4 - 160*a**3 wrt a.
120*a**2 + 24*a - 1362
Let a(c) be the third derivative of -55*c**9/504 + c**8/336 + c**6/30 + c**5/60 - 7*c**4/24 + 195*c**3/2 + 9950*c**2. Find the third derivative of a(s) wrt s.
-6600*s**3 + 60*s**2 + 24
Let k(t) be the third derivative of 1387*t**7/105 + 13*t**5/60 + 257*t**3/6 - 7038*t**2. Find the third derivative of k(y) wrt y.
66576*y
Let p(l) be the third derivative of -71*l**7/105 + 77*l**4/2 + 1003*l**2. What is the second derivative of p(i) wrt i?
-1704*i**2
Suppose 67*m - 171 = 58*m. Differentiate m + 34 - 61*w**4 + 73*w**4 with respect to w.
48*w**3
Differentiate 5337 - 8*v**2 - 6558 - 7*v**2 - 23*v**3 - 2*v**2 with respect to v.
-69*v**2 - 34*v
Let q(o) be the first derivative of 48*o**5 - 3*o**4/4 - 201*o**2/2 - 1022. What is the second derivative of q(w) wrt w?
2880*w**2 - 18*w
Let d(v) be the third derivative of -v**7/70 + 577*v**4/24 - 1216*v**3/3 + 2*v**2 - 95*v. What is the derivative of d(c) wrt c?
-12*c**3 + 577
Suppose -86 = -3*m + 5*l, 4*l - l = 5*m - 170. What is the third derivative of 28*q**2 + 27*q**5 + 15*q**2 - 1 + 3*q**3 - m*q**2 wrt q?
1620*q**2 + 18
What is the second derivative of -388 + 2314*p**3 + 749 - 345 - 20*p wrt p?
13884*p
Let v be (-1 - -5)/(-12 + (-5712)/(-474)). What is the second derivative of -36*f + 5 + 14*f**2 + 45*f**2 - v*f - 5 wrt f?
118
Let y = -4200 - -4202. Let m(i) be the third derivative of 0 + 5/6*i**4 - 17/6*i**3 + 21*i**y + 0*i. Differentiate m(t) wrt t.
20
Let a(h) = -4965*h**4 + 4*h**2 + 2*h - 2241. Let s(n) = -19865*n**4 + 18*n**2 + 9*n - 8965. Let j(b) = -9*a(b) + 2*s(b). Differentiate j(f) with respect to f.
19820*f**3
Let s(g) be the third derivative of 0 + 0*g**3 + 79/60*g**5 + 0*g**4 - 181*g**2 - 23/60*g**6 + 0*g + 1/210*g**7. What is the third derivative of s(h) wrt h?
24*h - 276
Find the third derivative of 35902 - 17961 - 9201*y**4 - 18019 + 11*y**2 wrt y.
-220824*y
Suppose -11*j + 157 + 382 = 0. Find the third derivative of -70*i**2 + 20154 - 20154 + j*i**3 wrt i.
294
Let c = -4758 - -4789. Let d(s) be the first derivative of 0*s**2 + 26/5*s**5 - 2/3*s**3 + 0*s + c + 0*s**4. What is the third derivative of d(z) wrt z?
624*z
Let v(l) be the first derivative of 487*l**6/6 - l**2 - 86*l - 864. What is the second derivative of v(a) wrt a?
9740*a**3
Let t(c) be the third derivative of 68*c**6/15 - c**5/30 - 24*c**4 - 160*c**2. What is the second derivative of t(s) wrt s?
3264*s - 4
Let b(w) = -w - 3. Let a(l) = 2*l + 3. Let d be a(-4). Let k be b(d). What is the third derivative of 11*c**2 - 4*c**k - 3*c**5 + 10*c**2 wrt c?
-180*c**2
Let w(o) be the third derivative of 6167*o**4/24 - 2239*o**3/3 - 2*o**2 - 2*o - 89. What is the first derivative of w(i) wrt i?
6167
Let j(s) = 27*s**2 - 180*s + 6639. Let d(z) = -35*z**2 + 183*z - 6637. Let n(a) = -4*d(a) - 5*j(a). Differentiate n(t) with respect to t.
10*t + 168
Let a(i) be the second derivative of -67/3*i**3 - 1/6*i**4 + 0*i**6 + 0*i**2 - 12*i + 0*i**5 + 5 - 41/42*i**7. What is the second derivative of a(j) wrt j?
-820*j**3 - 4
Find the second derivative of 245*q + 3 - 205*q**2 - 140*q + 99*q + 35*q**2 - 1 wrt q.
-340
What is the first derivative of 3166 + 384*a**2 - 32*a**2 - 1912*a**2 - 1238 + 3150 wrt a?
-3120*a
What is the second derivative of -39*u**5 - 4 + 2 + 59*u - 1 + 349*u**3 + 8 - 341*u**3 wrt u?
-780*u**3 + 48*u
Let s(g) be the third derivative of -5309*g**8/336 + g**5/60 + 621*g**4/8 + g**2 - 887. What is the second derivative of s(k) wrt k?
-106180*k**3 + 2
Differentiate 34 - p**3 - 455 - 141*p - 305 - 170*p with respect to p.
-3*p**2 - 311
Suppose 2 = -3*h - 25. Let c be (0 - -32)*h/(-18). Differentiate -2*y**4 - c + 7*y**4 - 10 with respect to y.
20*y**3
Suppose 0 = -6*k + 80 - 14. Suppose 0 = -7*f + 6*f + 2. What is the derivative of -11 + 49 + 27*v**2 + k*v**f wrt v?
76*v
Find the second derivative of -69 + 3*p - 374 - 2*p - 3*p - 190 - 882*p**4 wrt p.
-10584*p**2
Let m(u) be the second derivative of 308*u - 11/6*u**3 - 225/2*u**2 + 0 + 1/6*u**4. Differentiate m(y) wrt y.
4*y - 11
Let d(h) = 2*h**2 - 44*h + 7748. Let v(y) = -6*y**2 + 42*y - 7748. Let b(l) = 2*d(l) + 3*v(l). What is the first derivative of b(r) wrt r?
-28*r + 38
Let x be (-184)/(-18) - 2/9. Suppose 2*d - c - 11 = 0, -5*d + 23 = 5*c - 6*c. Find the third derivative of 11*j**d - 14*j**2 + x*j**2 + 5*j**2 wrt j.
264*j
Let w be -13 - (72/(-3) - -7). Let c(b) be the third derivative of 0 + 0*b**w + 0*b + 5/2*b**3 - 1/12*b**5 + 10*b**2. Differentiate c(x) wrt x.
-10*x
Suppose -26 = 13*g - 13. Let q(s) = 4*s**3 - 6*s**2 + 26. Let y(m) = 2*m**3 + 3. Let o(k) = g*q(k) + y(k). What is the derivative of o(f) wrt f?
-6*f**2 + 12*f
Let n(g) be the first derivative of 527*g**2/2 - 1579*g + 690. What is the derivative of n(o) wrt o?
527
Suppose 4*z + 5*u - 481 = 4*u, 0 = -z - 3*u + 112. Let q = -82 + z. Find the third derivative of c**5 + q*c**2 - 51*c**2 - 15*c**6 - c**5 wrt c.
-1800*c**3
Let t be 18 + -1 + (-10 - -26)/8. Find the third derivative of 67*h**5 + 19 - t - 100*h**2 + 11*h**5 wrt h.
4680*h**2
Suppose 5*m = -4*x + 30, -6*m = -9*m + 4*x - 14. Find the third derivative of -50*f**3 + 281 - 281 - 257*f**m wrt f.
-300
Let f(w) be the first derivative of 2335*w**4 - 10783*w**3/3 - 4494. What is the third derivative of f(x) wrt x?
56040
What is the first derivative of -405*a**2 + 84*a**2 + 184 + 3*a - 4*a + 475 wrt a?
-642*a - 1
Differentiate 323*a**2 + 47*a**2 - 1693 - 4783 + 280*a**2 + 173 wrt a.
1300*a
Let u(c) = 3*c**2 - 78*c + 3. Let s be u(26). Find the second derivative of