- 3 with respect to j.
-116*j**3
Find the second derivative of -52*p**3 - 60*p**3 + 20*p**3 - 27*p**3 - 1456*p + p**2 - 259*p**3 wrt p.
-2268*p + 2
What is the third derivative of -129*x + 20*x + 109*x + 685*x**3 - 2495*x**2 wrt x?
4110
Find the second derivative of 1225*z**4 + 5 - 2437*z**4 + 1199*z**4 + 0*z**2 + 16*z**2 - 289*z wrt z.
-156*z**2 + 32
Find the first derivative of -155 - 1434 - 11*l**4 + 71*l**2 + 3015 wrt l.
-44*l**3 + 142*l
Find the third derivative of 65*v**2 - 4 - 78*v**2 + 56*v**2 + 2236*v**3 - 14 wrt v.
13416
Let n(g) be the third derivative of 0*g + 0 + 35*g**2 - 1/60*g**5 + 0*g**4 + 7/6*g**3 + 3/5*g**6. What is the third derivative of n(f) wrt f?
432
Let m = -30 - -34. What is the second derivative of -6*l - m - 15*l**3 + 4 + 2 + 2 wrt l?
-90*l
Let d = 97 - -82. What is the third derivative of -95*g**2 - d*g**3 + 669*g - 669*g wrt g?
-1074
Suppose 13*t = 16*t + 17*t. Let g(v) be the third derivative of t*v**4 + 0*v**5 + 1/15*v**7 + v**3 + 0 + 0*v**6 + 0*v - 4*v**2. Differentiate g(r) wrt r.
56*r**3
Let y(b) be the first derivative of -77*b**3/3 - 5*b**2 - 80*b - 169. Let w(f) be the first derivative of y(f). What is the first derivative of w(d) wrt d?
-154
Let m(x) = 32*x**2 - 8*x + 45. Let y(u) = u**2 + u. Suppose -3*i + 28 = 11*b - 6*b, 2*i + 2*b - 12 = 0. Let c(q) = i*m(q) + 6*y(q). Differentiate c(k) wrt k.
76*k - 2
Let k(x) be the first derivative of 3*x**5 - 13*x**3 + x**2/2 + 150*x + 1329. What is the second derivative of k(y) wrt y?
180*y**2 - 78
Find the third derivative of -2117*k**4 - 379*k**2 - 9777*k**3 + 9777*k**3 wrt k.
-50808*k
Find the third derivative of -3*s - 81243*s**3 + 82538*s**3 - 2*s**5 - 794*s**2 + 3*s wrt s.
-120*s**2 + 7770
Let g be 0/(12/18*-3). Let b(j) be the first derivative of 7*j**2 + 0*j + 2 + 0*j**4 - 18/5*j**5 + g*j**3. What is the second derivative of b(d) wrt d?
-216*d**2
What is the first derivative of 71*n + 890 - 199 - 2*n**2 - 133*n - 400*n - 396*n wrt n?
-4*n - 858
Let k(s) = -10*s + 23*s + 5 - 239*s**3 - 21 - 5. Let z(v) = 119*v**3 - 7*v + 11. Let m(d) = -6*k(d) - 11*z(d). Find the second derivative of m(u) wrt u.
750*u
Let f = 23 + -20. Suppose 0 = -i + 2*i - c - f, -2*i + c + 5 = 0. Find the third derivative of 4 + 41*s**3 + 4*s**i - 6 + 2 wrt s.
246
Suppose -5*k - 4*t - 486 = 0, -3*t = 2*k - 7*k - 458. Let n = k + 137. Differentiate n*r**2 - 10 - 31*r**2 - 6 with respect to r.
24*r
Find the third derivative of -3718*a**6 + 4598*a**6 + 18 + 2*a**4 - 18 + 2*a**3 - 10165*a**2 wrt a.
105600*a**3 + 48*a + 12
Let m(o) be the first derivative of -13*o**6/6 - 3*o**5/5 - o**4 - 2279*o**2 + 6186. Find the second derivative of m(h) wrt h.
-260*h**3 - 36*h**2 - 24*h
Let n = -502 - -610. What is the derivative of -87 - 22*d - n*d + 12*d - 58*d wrt d?
-176
Suppose -3*v = 10 - 22. Suppose -v*m + 5 + 15 = 2*f, -4*m = -4*f - 8. Find the third derivative of -228 + 2*g**3 + 228 - 18*g**f wrt g.
12
Let d(i) = -15461*i**2 + 805*i - 6. Let k(g) = 170072*g**2 - 8856*g + 64. Let j(c) = 32*d(c) + 3*k(c). What is the second derivative of j(s) wrt s?
30928
Let f(s) = s + 1. Let z(m) = 1318*m - 1517. Let x(r) = 6*f(r) - z(r). Differentiate x(j) wrt j.
-1312
Differentiate 118732*y**2 - 60309*y**2 + 2212 + y**4 - 59903*y**2 wrt y.
4*y**3 - 2960*y
Let z(c) be the second derivative of 0 + 0*c**3 + 0*c**6 + 0*c**2 + 49/12*c**4 + 16*c - 1/10*c**5 - 1/2*c**7. What is the third derivative of z(i) wrt i?
-1260*i**2 - 12
Find the second derivative of 19*b**2 + 1532*b + 20*b**2 - 63*b**3 - 58*b**2 - 75*b**3 + 17*b**2 wrt b.
-828*b - 4
Let x = 22 - 20. Let q be (-19 - -10)*(0 - x/3). What is the third derivative of -c**6 + 523*c**4 - 523*c**4 + 23*c**2 + 30*c**q wrt c?
3480*c**3
Let s(v) be the second derivative of -1/10*v**6 + 11/12*v**4 + 1/7*v**7 + 0*v**3 + 0*v**5 + 3*v**2 - 9*v + 3. What is the third derivative of s(w) wrt w?
360*w**2 - 72*w
Suppose -17*q = 12*q. Let b(u) be the third derivative of 0*u**5 - 17/120*u**6 - 6*u**2 + 0*u**3 + 0 + q*u - 1/3*u**4. Find the second derivative of b(s) wrt s.
-102*s
Let g(s) be the second derivative of -91/6*s**3 + 7*s + 0*s**2 + 6 - 13/12*s**4. Find the second derivative of g(h) wrt h.
-26
Suppose t + 1 = -0*t - k, -5*t + 16 = -2*k. Suppose -11 = -4*a - x, 4*a - 34 = t*x - 8. Find the third derivative of -23*p**2 + 15*p**a + p**4 + 26*p**2 wrt p.
384*p
Let f = 628 - 619. What is the third derivative of -78*n**5 - 20*n**2 + 12*n**2 - 33*n**2 - 7*n + f*n - 2*n**5 wrt n?
-4800*n**2
Let z(q) = -q. Let s(t) be the third derivative of -9*t**4/8 + t**3/6 - 2*t**2 + 23*t. Let h(x) = -s(x) - 2*z(x). What is the first derivative of h(b) wrt b?
29
Find the third derivative of 12*g**3 + 3*g**2 + 3958 - 1968 - 1955 + 28*g**4 wrt g.
672*g + 72
Let t(p) be the third derivative of -1361*p**5/30 + 425*p**4/3 + 3715*p**2. Find the second derivative of t(n) wrt n.
-5444
Let p = -31 - -29. Let r be (-51)/(-9) + p/(-6). Find the third derivative of -12*k**2 - 2*k - 4*k + r*k + k**3 wrt k.
6
Suppose 0 = 3*l - l - 10. Let x(j) = j**2 - 2*j - 3. Let n be x(-2). Find the first derivative of -17*g**4 - 2*g**4 + n - 3*g**4 + l wrt g.
-88*g**3
Find the first derivative of -2405*x - 12648 + 121*x + 9116*x wrt x.
6832
Let f(t) be the second derivative of t**7/42 + 297*t**5/20 - 1678*t**3/3 - 3798*t. What is the second derivative of f(g) wrt g?
20*g**3 + 1782*g
Suppose -2*o = 2*o + 28. Let z be (o - -8)/((-1)/(-4)). What is the second derivative of -17*y**z - 105 + 3*y**4 + 105 + 14*y wrt y?
-168*y**2
Let h = 45 - -125. Suppose 0 = 41*b - 70 - 64 - 71. What is the second derivative of 3 - 6*q - h*q**5 - 1 + 67*q**b + 73*q**5 wrt q?
-600*q**3
Suppose 5*d = 636 + 3479. What is the second derivative of 8*x**3 + 816 - d - 6*x + x wrt x?
48*x
Let a(y) be the first derivative of -37*y**2/2 - 43*y - 58. Let h(u) = -72*u - 85. Let i(g) = 5*a(g) - 3*h(g). Differentiate i(r) wrt r.
31
Differentiate 1677 - 4215 - 5322 + i**4 + 461*i**3 with respect to i.
4*i**3 + 1383*i**2
Let i(j) be the third derivative of -37*j**8/336 - j**7/70 + 721*j**4/24 - 3*j**2 + 209*j. Find the second derivative of i(v) wrt v.
-740*v**3 - 36*v**2
Let q(s) be the second derivative of -3*s**8/8 + s**5/5 + 41*s**4/3 + 2*s**3/3 + s - 377. What is the third derivative of q(u) wrt u?
-2520*u**3 + 24
Let p(l) be the third derivative of 7*l**6/120 - l**4/4 - 481*l**3/3 - 85*l**2 + 1. Find the first derivative of p(b) wrt b.
21*b**2 - 6
Let b(z) = -242*z**2 - 252*z + 12. Let h(w) = 7 + 4 + 1 + w**2 - 11 - w. Let g(n) = b(n) - 12*h(n). What is the second derivative of g(u) wrt u?
-508
Let p(y) = 128*y**2 + 5*y - 12. Let b(t) = 5*t - 193*t**2 - 6 + 256*t**2 - 2*t. Let c(d) = -5*b(d) + 3*p(d). Differentiate c(j) wrt j.
138*j
Let s(r) be the second derivative of -75*r + 0 + 129/20*r**5 - 221/12*r**4 + 0*r**3 + 0*r**2. What is the third derivative of s(u) wrt u?
774
Differentiate -469*i**2 + 2768 - 157 - 5082*i**2 - 509 + 2159*i**2 with respect to i.
-6784*i
Let s = 249 - 139. Find the third derivative of -32*w**2 - 32*w**2 - 53*w**3 + s*w**3 wrt w.
342
Let n(u) be the third derivative of -u**8/28 - 4*u**7/5 + u**6/60 + 4289*u**5/30 + 5773*u**2. Find the third derivative of n(d) wrt d.
-720*d**2 - 4032*d + 12
Let r(f) be the second derivative of -172*f - 75*f**2 + 0*f**3 + 27/4*f**4 + 0. Differentiate r(z) with respect to z.
162*z
Suppose -10 - 5 = -5*q. Suppose -4*t + 1 = -5*i - 4, 20 = t + 5*i. What is the second derivative of -9*k + 22*k**5 - t*k**3 + 5*k**q - k wrt k?
440*k**3
Let h = -79 + 84. Suppose -2*n = p - 5, -5*n = -h*p - 3*n + 61. What is the third derivative of 17*f**6 + p*f**6 + 19*f**2 + 4*f**6 wrt f?
3840*f**3
What is the derivative of -232*g**4 + 10426 + 961*g**4 + 1906*g**4 + 1799*g**4 + 813*g**4 wrt g?
20988*g**3
Let t(o) = 6617*o**2 + 4832*o + 17. Let s(n) = -1654*n**2 - 1207*n - 4. Let u(y) = -17*s(y) - 4*t(y). Find the second derivative of u(h) wrt h.
3300
Let m(z) = -109*z**3 - 5*z**2 + 23*z. Let h(i) = 26*i - 38*i - 54*i**3 + 23*i - 2*i**2. Let l(a) = -5*h(a) + 2*m(a). Find the second derivative of l(d) wrt d.
312*d
Let f(c) be the second derivative of -1873*c**6/30 - 1426*c**2 - 3116*c - 2. Differentiate f(d) with respect to d.
-7492*d**3
Let y(p) be the third derivative of -7/120*p**6 + 0*p - 1/6*p**3 + 0 - 7/12*p