d derivative of v*g**2 + 127*g**2 - 3365*g + 3170*g wrt g.
458
Let d(v) be the third derivative of -361*v**6/40 + v**5/60 + 44*v**3/3 - 1260*v**2. Find the third derivative of d(h) wrt h.
-6498
Let j(k) be the third derivative of -157*k**5/15 + 55*k**4/6 + k**3/3 - 24*k**2 - 13. Find the second derivative of j(m) wrt m.
-1256
Let u = 157 + -116. Find the third derivative of i**4 + 31*i - 108*i + 40*i + 36*i + 4*i**5 + u*i**2 wrt i.
240*i**2 + 24*i
Suppose -2*b + 5*y = -49, -b + 3*b - 29 = y. Suppose -2*g - 4*o - 10 = 0, -3*o + 0*o = b. Find the first derivative of -14*c**g + 6 + 12 - 3 - c**3 wrt c.
-45*c**2
Let p(x) = -875*x**3 - 38*x + 5. Let s(u) = 2*u**3 + 5*u + 1. Let d(z) = p(z) - 4*s(z). What is the second derivative of d(q) wrt q?
-5298*q
Differentiate 11603*x**2 - 2841 + 208 - 10991*x**2 with respect to x.
1224*x
Let g(j) be the second derivative of 1527*j**7/14 + 592*j**4/3 + j**3/3 + j**2 - 3*j - 1746. Find the third derivative of g(d) wrt d.
274860*d**2
Let r(p) = -312*p**2 + 765*p - 14. Let i be 36/8*(-8)/12. Let b(x) = 104*x**2 - 255*x + 5. Let k(h) = i*r(h) - 8*b(h). Find the second derivative of k(u) wrt u.
208
Let t(z) = 6*z**3 - z. Let q be t(1). Suppose -5*m = q*r + 5, -4 = 2*m + 5*r + 10. Find the second derivative of 6*y**m - 4*y + 7*y + 0*y + 4*y wrt y.
36*y
Let m(s) be the third derivative of -17*s**7/210 - 3*s**5/20 + s**4/12 - 9223*s**3/6 + 5655*s**2. What is the derivative of m(n) wrt n?
-68*n**3 - 18*n + 2
Let l(x) be the first derivative of 79 + 0*x**2 + 7/3*x**3 + 0*x + 0*x**5 - 58/3*x**6 + 0*x**4. Find the third derivative of l(m) wrt m.
-6960*m**2
Differentiate 8*r**3 + 19*r**3 + 17*r**3 - 1297 - 40*r**3 - 2*r**2 wrt r.
12*r**2 - 4*r
Let p(y) = 4716*y**2 + 4*y - 6567. Let j(g) = 4*g**2 - g - 1. Let h(m) = 4*j(m) + p(m). What is the derivative of h(b) wrt b?
9464*b
Let k(u) be the third derivative of -38*u**7/35 - u**6/120 + u**5/20 - 153*u**4/4 - u**3/6 + u**2 - 801. Find the third derivative of k(l) wrt l.
-5472*l - 6
Suppose -201 = -3*x - 2*o, -5*x - 2*o + 277 = -62. Let n = -4081 - -4150. What is the second derivative of -n - 18*a - 22*a**4 + x wrt a?
-264*a**2
Let n(a) = -14*a - 41. Let f(g) = -80*g - 591*g - 563 - 1406. Let p(b) = 6*f(b) - 286*n(b). Differentiate p(q) wrt q.
-22
Let g(x) be the first derivative of 7*x**5/15 + x**4/12 - 12*x**3 + 114. Let k(y) be the third derivative of g(y). What is the derivative of k(m) wrt m?
56
Let a(b) = 27*b**3 - 4*b - 11. Let f(o) = 53*o**3 - 7*o - 22. Let m be (-10 + 0)*(-26)/65. Let c(u) = m*f(u) - 7*a(u). Differentiate c(k) with respect to k.
69*k**2
Let s(j) = -j**3 + 6*j**2 + 4*j - 15. Let a be s(6). Let t be ((-21)/14)/(a/(-12)). What is the second derivative of -q**t - 8*q + 96 - 96 wrt q?
-2
Let u(z) be the first derivative of 887*z**2/2 + 949*z - 1343. Differentiate u(w) with respect to w.
887
Let v be -4 + 28*5/20. What is the third derivative of 20*p**2 - 54 - 43*p**2 + 2*p**v + 144*p**4 + 18*p**4 + 27*p**2 wrt p?
3888*p + 12
Let a(m) = 11*m**2 + 80*m + 21. Let c be a(-7). Let j be 2/(-4) + (-22)/(-4). What is the third derivative of 2*y**6 + 7*y**6 - j*y**2 + c*y**2 - 4*y**6 wrt y?
600*y**3
Let j(d) = 2*d + 8. Let f be j(17). Differentiate -f*q**4 - 41 + q**4 + 108 wrt q.
-164*q**3
Suppose -d - f = 3*f, -9 = -d + 5*f. Find the second derivative of 12 - 7*o**3 + o**d + 3*o + 6*o**4 - 18 wrt o.
84*o**2 - 42*o
Let k(y) = 19*y**5 - 9*y**4 + 2*y**3 - 23*y**2 + 6*y + 3. Let w(u) = 2*u**4 + u - 1. Let r(c) = -k(c) - 4*w(c). What is the third derivative of r(v) wrt v?
-1140*v**2 + 24*v - 12
Let y(m) = 3. Let z(b) = 14. Let p(o) = 5*y(o) - z(o). Let i(n) = -76*n**3 + 6. Let s(c) = i(c) - 2*p(c). Differentiate s(h) with respect to h.
-228*h**2
Let q = 165 + -142. Find the third derivative of -23*m**2 - 5*m**2 - q*m**2 + 10*m**2 + 36*m**4 wrt m.
864*m
Let i(u) = u**2 - 13*u + 8. Let w be i(13). Let h(l) = -l**2 + 7*l + 11. Let z be h(w). Find the third derivative of -7*m**2 - 7*m**2 + 4*m**2 - 14*m**z wrt m.
-84
Find the second derivative of 362*q + 6715*q**2 - 2 + 4 - 2 + 5276*q wrt q.
13430
Let r(f) be the first derivative of 22*f**6 - 431*f**2/2 + 3*f - 2601. What is the second derivative of r(h) wrt h?
2640*h**3
Let r(p) = -p**3 + p**2. Let m(z) = 1292*z**3 - 65*z**2 + 2. Let i(j) = -m(j) + 2*r(j). Find the third derivative of i(h) wrt h.
-7764
Let l(a) be the second derivative of a**6 - 40*a + 0 + 0*a**2 + 0*a**5 + 0*a**4 - 44/3*a**3. Find the second derivative of l(f) wrt f.
360*f**2
Let y(b) be the third derivative of 7/24*b**4 + 0 + 0*b**5 + 0*b + 168*b**2 + 0*b**6 + 0*b**3 - 47/210*b**7. What is the second derivative of y(u) wrt u?
-564*u**2
Let s(a) = -3997*a**3 - 3394*a**2 - 4. Let k(z) = -4005*z**3 - 3395*z**2 - 6. Let u(r) = 4*k(r) - 6*s(r). What is the third derivative of u(v) wrt v?
47772
Let m = 6 + 21. Let v = 113 - 102. What is the second derivative of a**5 + v*a**2 + 34*a - m*a**5 - 11*a**2 wrt a?
-520*a**3
Let r(x) be the first derivative of 221*x**2 + 4971*x - 1648. Differentiate r(q) with respect to q.
442
Let b = -177 + 178. Let p(d) = 1. Let a(f) = -f**3 - 58*f**2 + 30. Let r(u) = b*a(u) + 3*p(u). Find the first derivative of r(l) wrt l.
-3*l**2 - 116*l
Let y(f) = -41*f + 30. Suppose q + q + 3*n = 4, -4*q + 2*n = -8. Let p(d) = 82*d - 60. Let s(v) = q*p(v) + 5*y(v). Differentiate s(i) with respect to i.
-41
Differentiate 726*b**4 - 750 - 5*b**3 - 149 + 5*b**3 + 1012*b**4 wrt b.
6952*b**3
Differentiate -2354*p + 960756 - 957398 - 638*p with respect to p.
-2992
Let m(b) = 908*b**2 + 2398*b + 18. Let z(t) = 452*t**2 + 1199*t + 10. Let r(c) = 6*m(c) - 11*z(c). Find the second derivative of r(a) wrt a.
952
Let a = -322 - -334. What is the second derivative of -23*i**2 + 89 - 65*i**2 - 11*i + 25*i - a*i wrt i?
-176
Let n(z) = -77*z + 110. Let x(t) = -26*t + 37. Let m(j) = 6*n(j) - 17*x(j). Let q be m(-9). Differentiate -4*v - q + 4*v + 205 - 2*v**2 with respect to v.
-4*v
Let c(r) = -16*r**3 - 3*r**2 - 10*r - 2. Let u be c(-2). What is the first derivative of 117 - 61 + 52*d**2 - u wrt d?
104*d
Suppose 8*z = 28*z - 60. Find the first derivative of 7*g**z - 8*g**3 - 18 - 9*g**4 - 42 - 31*g**4 wrt g.
-160*g**3 - 3*g**2
Let f be 1 - -1*2/(-4)*2. Find the second derivative of f*i**2 - 10*i**4 - i**2 + 0*i**3 - 27*i + 0*i**3 wrt i.
-120*i**2 - 2
Find the second derivative of 30*n**3 + 558*n**4 - 44*n**3 + 14*n**3 + 1575*n wrt n.
6696*n**2
Suppose 0 = -4*n + 71040 - 19644. What is the third derivative of n + 63*g**4 - 12849 + 26*g**2 wrt g?
1512*g
Let j(k) be the first derivative of 25*k**4/3 + 34*k**2 + 71*k - 75. Let v(f) be the first derivative of j(f). Differentiate v(g) wrt g.
200*g
Differentiate 23*k**4 - 40*k**2 - 26*k**4 - 28*k**3 + 10*k**3 + 2436 - 3*k**2 + 258 with respect to k.
-12*k**3 - 54*k**2 - 86*k
Suppose 45*l - 40*l = 10. Suppose -34 = -4*o - l. What is the first derivative of -15 + o + 0 - 15*j**2 wrt j?
-30*j
Let n be ((-16)/24)/(3/(-9)). Find the third derivative of 61*i**4 + 45*i**4 - 57*i**4 - 94*i**n wrt i.
1176*i
Let u(i) = 3664*i**3 - 84*i**2 + 7*i + 748. Let g(h) = 2443*h**3 - 60*h**2 + 5*h + 499. Let t(p) = 7*g(p) - 5*u(p). What is the first derivative of t(b) wrt b?
-3657*b**2
Let x(l) be the third derivative of l**7/210 + 7*l**6/24 + 19*l**5/6 - 2*l**2 - 1286*l. What is the third derivative of x(f) wrt f?
24*f + 210
Let d(o) = -828*o**5 - 10*o - 256. Let w(b) = 829*b**5 + 9*b + 255. Let l(y) = 6*d(y) + 7*w(y). Find the second derivative of l(q) wrt q.
16700*q**3
Let n(y) be the third derivative of -643*y**9/504 + y**8/336 + 119*y**5/5 + 8*y**2 + 34. Find the third derivative of n(u) wrt u.
-77160*u**3 + 60*u**2
Let x(s) be the third derivative of 4 - 2/3*s**3 - s**2 + 0*s - 5/24*s**4 + 11/15*s**5. Find the second derivative of x(v) wrt v.
88
Let m(v) = 337*v**4 - 363*v + 11. Let i(n) = 67*n**4 - 73*n + 2. Suppose 9*q - 104 = -86. Let y(o) = q*m(o) - 11*i(o). Find the second derivative of y(r) wrt r.
-756*r**2
Let p be (-18 - -2) + 1854/103. Let h(r) be the first derivative of 1/4*r**4 + 0*r**3 + 36*r + 23 + 0*r**p. What is the derivative of h(k) wrt k?
3*k**2
What is the derivative of 548 + 236 - 1056*l + 213 + 266 - 105 wrt l?
-1056
Suppose -26*u + 9636 + 5652 = 0. What is the third derivative of -590*h + 1180*h + 12*h*