23. Let s(r) = -r**2 + 7*r + 10. Let g be s(8). What is the third derivative of -3*p**2 - 5*p**4 - 7*p**2 + 3*p**g + 0*p**k wrt p?
-120*p
Let d = -29 - -45. Suppose 4*t = -2*g + d - 6, -t + 2*g = 0. Find the second derivative of 6*j**2 + 9*j**2 + 4*j**2 - t*j + 35*j wrt j.
38
Find the second derivative of 1 + 685*u + 2323*u - 30576266*u**4 + 30576266*u**4 - 3597*u**5 wrt u.
-71940*u**3
Find the third derivative of -99 - 6125*q**4 + 384*q**4 - 3456*q**4 - 27*q + 761*q**4 + 12*q**2 + 97 wrt q.
-202464*q
What is the second derivative of -3083*v**2 + 100712 + 850*v - 218*v - 100712 wrt v?
-6166
Let c(s) be the third derivative of 0*s**4 - 264*s**2 + 0*s**5 - 59/3*s**3 + 0 - 43/20*s**6 + 0*s. Differentiate c(m) with respect to m.
-774*m**2
What is the third derivative of 32*m**2 - 8*m**3 + 486*m**4 - 467*m**2 + 51*m**2 + 8*m**3 wrt m?
11664*m
Let j(i) be the third derivative of -29*i**9/42 - i**6/60 - 169*i**5/12 + 17*i**2 + 13*i. What is the third derivative of j(w) wrt w?
-41760*w**3 - 12
Find the second derivative of 12 - 13*t**4 - 14*t - 59*t**4 - 18213*t**5 - 22*t + 7*t + 18216*t**5 wrt t.
60*t**3 - 864*t**2
What is the first derivative of 118*q**4 + 587 - 7*q**4 + 49 + 68*q**4 + 121 wrt q?
716*q**3
Let w(r) = 86*r + 112. Suppose y + 5*f - 13 = 0, 7 = y + 4*f - 3. Let g(t) = -85*t - 115. Let o(v) = y*g(v) - 3*w(v). Find the first derivative of o(l) wrt l.
-88
Let l(d) be the second derivative of 2053*d**5/5 + 5933*d**4/12 - d - 75. Find the third derivative of l(y) wrt y.
49272
Let b(p) be the third derivative of 43*p**8/112 - 11*p**5/4 - p**3/2 - 482*p**2. What is the third derivative of b(y) wrt y?
7740*y**2
Let o(h) = -4*h**3 - h**2 - 2*h. Let n be o(2). Let w be n/(-4) + 2 + 0. Differentiate -2 + m**2 + w*m**2 + 7 with respect to m.
26*m
Let s be ((-1 - -1)/(-9 + 8))/2. Suppose 0*v - 5*v + 35 = s. What is the first derivative of -86*w + v + 86*w + 8*w**2 + 16*w**2 wrt w?
48*w
Let h(p) = 1267*p**3 + 3*p**2 - 17*p + 4480. Let g(s) = -1269*s**3 - 2*s**2 + 11*s - 4481. Let n(y) = -3*g(y) - 2*h(y). Differentiate n(x) wrt x.
3819*x**2 + 1
Let o(x) be the third derivative of -x**2 + 25/24*x**4 + 0*x**5 - 187/120*x**6 - 1/6*x**3 + 0*x - 178. Find the second derivative of o(h) wrt h.
-1122*h
Let a(f) be the second derivative of -973*f**6/30 - 2839*f**3/6 + 1871*f. What is the second derivative of a(u) wrt u?
-11676*u**2
Suppose -5*y - t + 118 = 3*t, 0 = 3*t - 6. Suppose 19*c - y = 8*c. What is the third derivative of -8 + 29*n**3 + 5 + 4*n**c + 3 wrt n?
174
Suppose 5*y - 16*y + 11 = 0. Suppose -4*m + 11 = -6*x + x, -m + 5*x = y. Find the second derivative of 30*w**4 + 18*w**m + 21*w - 34*w**4 wrt w.
168*w**2
Let y(t) = -65*t - 7. Let g(i) = -64*i - 6. Suppose -3*q + 2*d + 3*d = -13, -3*q = -4*d - 8. Let k(p) = q*y(p) + 3*g(p). What is the derivative of k(h) wrt h?
68
What is the second derivative of 1 + 1003*j**4 - 141*j**2 - 502*j**4 + 94*j - 500*j**4 - 144*j**2 wrt j?
12*j**2 - 570
Let n(t) be the first derivative of -8*t**5/5 - 69*t**4/4 + 1265*t - 2723. Differentiate n(k) wrt k.
-32*k**3 - 207*k**2
Let j(k) = -17*k**2 - 44*k - 730. Let d(s) = -48*s**2 - 131*s - 2190. Let r(h) = -6*d(h) + 17*j(h). Differentiate r(p) wrt p.
-2*p + 38
Let h(z) = -848*z**2 - 45*z - 16. Let b(u) = -2547*u**2 - 136*u - 46. Let f(d) = -2*b(d) + 7*h(d). What is the second derivative of f(s) wrt s?
-1684
Let s be ((-1235)/(-91) - 13)*14/4. Find the third derivative of -25*k**6 - 64*k**6 - 6*k**2 + 32*k**2 + 56*k**s wrt k.
-10680*k**3
Let x(f) = -3772*f**2 + 17*f - 1. Let q(j) = -3774*j**2 + 4*j. Let p(b) = -4*q(b) + 3*x(b). What is the second derivative of p(o) wrt o?
7560
What is the second derivative of -121 - 16683*k**3 + 3*k - 6*k + 13109*k**3 wrt k?
-21444*k
Let p(c) be the third derivative of c**7/210 + 16*c**6/15 - 477*c**3/2 - c**2 - 3454. What is the derivative of p(x) wrt x?
4*x**3 + 384*x**2
Let s(u) be the third derivative of -5*u**6/24 + 1541*u**5/30 + 3642*u**2. What is the third derivative of s(p) wrt p?
-150
Let l(n) be the first derivative of -23*n**6/6 + n**4/4 + 2*n**3/3 - 215*n**2 + 639. What is the third derivative of l(c) wrt c?
-1380*c**2 + 6
Let l(d) be the first derivative of -643*d**3/3 - 1113*d - 1388. Differentiate l(f) with respect to f.
-1286*f
Let k = 434 + -430. Find the third derivative of -22*f**5 + 307*f - 4*f**4 + 3*f**k - 613*f + 147*f**2 + 306*f wrt f.
-1320*f**2 - 24*f
Let n(a) be the second derivative of 0*a**2 - 11/3*a**3 + 0*a**4 + 2 - 6*a + 53/20*a**5. What is the second derivative of n(u) wrt u?
318*u
Let r(i) be the second derivative of -2*i**2 + 0 - 79/20*i**5 + 25/12*i**4 + 0*i**3 - 44*i. Find the third derivative of r(v) wrt v.
-474
Let g(v) be the second derivative of 573*v**4/2 - 903*v**2 - v - 572. What is the derivative of g(p) wrt p?
6876*p
Let h(i) be the first derivative of 11*i**6/6 + 45*i**4/2 + 2*i**3/3 + 1753*i + 3086. What is the third derivative of h(b) wrt b?
660*b**2 + 540
Let w(n) be the third derivative of n**6/15 + 5*n**5/6 - 43*n**4/24 + 25*n**2 - 2*n. Let g(q) be the second derivative of w(q). Differentiate g(k) wrt k.
48
Suppose 0 = 4*f - 2*i - 52, -2*f + 49 = f + i. Let x(r) be the first derivative of 2*r - 9*r**2 + 7 + 10 + 9 - f. Differentiate x(d) wrt d.
-18
Let c(k) be the third derivative of -1/3*k**3 + 2/15*k**5 - 1/6*k**4 + 0*k - 56*k**2 + 0. Find the first derivative of c(p) wrt p.
16*p - 4
Suppose -30*l = -580 - 110. Find the second derivative of 8*i**5 - 20 + l*i**2 - 7*i - 5*i**5 - 26*i**2 wrt i.
60*i**3 - 6
Let w be 6*((-2)/(-1))/2. Suppose 2212 = -7*r + 2254. What is the third derivative of -73*q + 5*q**r + 73*q - 16*q**w + 23*q**2 wrt q?
-1320*q**3
Let f = 24 + -22. Let u be (0 - -16)/(301/98 - 3). What is the third derivative of -224 + u + 22*z**f - 28*z**5 wrt z?
-1680*z**2
Suppose -2*z = 196 - 200. Find the second derivative of 3*c**2 - 2*c**3 + 4*c**3 + z*c**3 - 21*c - 36*c wrt c.
24*c + 6
Let q be (-4)/((-26)/12 - 2/(-12)). What is the third derivative of 23*h**3 - 4*h**3 + 0*h - 59*h**q + 2*h**3 + 0*h wrt h?
126
Let d(l) be the second derivative of 6013*l**6/30 + 73*l**4/4 + l**2 - 124*l + 8. Find the third derivative of d(g) wrt g.
144312*g
Let t be -2*(-45)/6*2/10. Suppose 2*c - 13 = 3*d, 0 = 2*c + t*d + 3 + 2. Find the third derivative of x**4 - 27*x**2 - 2*x**4 + 13*x**c + 50*x**2 wrt x.
-24*x
Let b(q) = 2*q**3 - 5*q**3 - 54 + 47 + 3*q. Let s = 21 - 28. Let p(d) = 2*d**3 - d + 3. Let x(i) = s*p(i) - 3*b(i). Find the second derivative of x(j) wrt j.
-30*j
Let l(k) be the second derivative of -2*k**6/15 - 1387*k**5/20 - 11*k**4/12 - 81*k**2 - 9*k - 54. Find the third derivative of l(p) wrt p.
-96*p - 8322
Let m = -161 + 343. What is the second derivative of 60*w**4 + 81*w**4 - 104*w - m*w**4 wrt w?
-492*w**2
Let g be ((-10)/(-8) + (-846)/(-8))*51. Find the second derivative of -4*a**5 - 5457*a**4 - 38*a**2 + 2*a**5 - 157*a + g*a**4 wrt a.
-40*a**3 - 76
Let m(v) = 9051*v**4 - 8*v**3 + 16*v - 3956. Let q(l) = 6034*l**4 - 5*l**3 + 10*l - 2637. Let r(n) = 5*m(n) - 8*q(n). Differentiate r(z) wrt z.
-12068*z**3
Let s(z) be the first derivative of 2006*z**4 + 2*z**3/3 + 3*z**2/2 - 84*z - 2484. What is the third derivative of s(x) wrt x?
48144
Let d(l) = -6*l**3 - 10*l**2 - 2593*l + 2. Let i(g) = 25*g**3 + 33*g**2 + 10372*g - 9. Let z(c) = -9*d(c) - 2*i(c). Find the second derivative of z(k) wrt k.
24*k + 48
Let p(a) be the first derivative of -a**5/4 + 25*a**4/8 + 61*a**3/3 - 37. Let v(c) be the third derivative of p(c). Differentiate v(i) with respect to i.
-30
Let c(r) = 5532*r + 569. Let p(n) = 11065*n + 1141. Let u(f) = 13*c(f) - 6*p(f). Find the first derivative of u(j) wrt j.
5526
Let o(a) be the first derivative of -12176*a**5/5 + 235*a**3/3 + 7*a - 9746. What is the third derivative of o(t) wrt t?
-292224*t
Differentiate 92 + 195 - 9259*k + 10716*k wrt k.
1457
Differentiate -299 + 13911*m**2 - 14076*m**2 + 2335 - 3*m with respect to m.
-330*m - 3
Let x(c) = 963*c + 1208. Let q(l) = -5*l. Let j(g) = 2*q(g) - x(g). Differentiate j(o) with respect to o.
-973
Let j(g) = -1033*g - 125. Let x(n) = -6198*n - 729. Let s(z) = 13*j(z) - 2*x(z). What is the first derivative of s(r) wrt r?
-1033
Suppose 16*i = -5*i + 1302. Find the first derivative of 52*u + 37*u + i + 34 + 5 wrt u.
89