20*t wrt t?
11394*t
What is the third derivative of 570*h**2 - 386*h**3 + 695*h**2 - 425*h**3 + 65*h**3 wrt h?
-4476
Let w(h) = -2*h - 5. Let c(g) = -2*g - 6. Let a(l) = 3*c(l) - 2*w(l). Let k be a(-6). Differentiate 6*n**k + 4 - 2*n**4 - 2*n**4 + 3*n**4 wrt n.
20*n**3
What is the second derivative of 1093 - 41805*s + 6*s**5 - 119 - 262*s**3 + 2*s**4 + 41803*s wrt s?
120*s**3 + 24*s**2 - 1572*s
Let j = 1022 + -758. Find the third derivative of -j*d**5 - 25*d**3 + 25*d**3 + 98*d**2 - 280*d**2 wrt d.
-15840*d**2
Let g = -2752 + 2756. Let q(v) be the second derivative of 0*v**2 + 0 + 11/3*v**3 - 15*v + 7/6*v**g. Find the second derivative of q(x) wrt x.
28
Let v = -14 - -15. What is the second derivative of v - 203*t + 36*t**3 + 113*t + 185*t wrt t?
216*t
Suppose 3*d = 5*j + 7, -1 - 20 = -5*d - j. What is the first derivative of -143*t + 144*t - 5 - 2*t**d + 4 - 4 wrt t?
-8*t**3 + 1
Let p(a) = a + 32. Let s(f) = -8200*f - 1053. Let w(b) = 5*p(b) - s(b). What is the first derivative of w(c) wrt c?
8205
Let f(w) be the second derivative of 131*w**6 + 2*w**3 - 32*w**2 - 4196*w. Find the second derivative of f(i) wrt i.
47160*i**2
Let x(q) = 23*q - 66. Let g be x(3). What is the first derivative of -4*u - 7*u + 65 + 100 + 122 - g*u**3 - 7*u**3 wrt u?
-30*u**2 - 11
Let i(m) = -23*m - 29. Let p be 12 + -9 - 1*48. Let j = -51 - p. Let d(h) = 6*h + 7. Let z(k) = j*i(k) - 22*d(k). Find the first derivative of z(q) wrt q.
6
Let l = 100 + -90. Suppose l - 22 = -4*t. What is the second derivative of -5*k**2 + k - t*k - 14*k + 2*k wrt k?
-10
Suppose c = -2*z + 40, -5*c - 3*z + 121 = -79. Find the second derivative of -44*n**4 - 38*n**4 - 178*n + c*n**4 wrt n.
-504*n**2
Let w(d) be the third derivative of 70*d**2 + 0*d**6 + 0*d + 0*d**5 + 1/3*d**3 + 0*d**4 + 0 + 71/210*d**7. Differentiate w(i) wrt i.
284*i**3
Let y(p) be the first derivative of 63*p + 25 + 15/2*p**2. Differentiate y(m) wrt m.
15
Let r(d) = 27*d**2 + 15*d + 10. Let z(m) = 31*m**2 - 2*m + 28*m**2 + 31*m**2 - 89*m**2 + 2. Let n(g) = r(g) - 4*z(g). Find the second derivative of n(c) wrt c.
46
Let f = -73 + 81. What is the second derivative of 22 + f - 41 + 8*b**3 - b + 25 wrt b?
48*b
Suppose -d - 2*f + 7 = -10, 25 = 2*d + f. Differentiate -15*x**4 + 20*x**4 - 6*x**2 + 3 - d wrt x.
20*x**3 - 12*x
Let j(u) = -1007*u**3 - 8*u**2 - 40*u - 47. Let l(d) = 336*d**3 + 3*d**2 + 15*d + 16. Let w(z) = 3*j(z) + 8*l(z). What is the first derivative of w(g) wrt g?
-999*g**2
Let u(k) be the first derivative of 12*k**5 - 6*k**2 + 2230*k - 835. Find the first derivative of u(d) wrt d.
240*d**3 - 12
Let j(l) = 3997*l**5 - 3490*l - 2. Let g(p) = 23983*p**5 - 20938*p - 13. Let h(d) = 2*g(d) - 13*j(d). Find the second derivative of h(s) wrt s.
-79900*s**3
Find the first derivative of 605 + 411 - 3794*z - 630*z**4 + 3794*z wrt z.
-2520*z**3
Suppose 32*b = 417 + 1375. Suppose -3*u = -104 + 23. Find the second derivative of 29 - b + 15*i + 12*i**2 + u wrt i.
24
Suppose -22*z = -20*z - 6. Differentiate -23 + 30*j**3 + 137 + 68 - 175*j**z with respect to j.
-435*j**2
Let q(f) be the second derivative of -769*f**4/12 - 211*f**2 - 12*f - 64. Differentiate q(c) wrt c.
-1538*c
Suppose 0 = 23*t - 2*t + 42. Let c(k) = 234*k**3 + 122. Let v(f) = -702*f**3 + f**2 - 365. Let r(g) = t*v(g) - 7*c(g). Find the third derivative of r(x) wrt x.
-1404
Find the first derivative of 420*d - 191 - 236 + 6*d - 54*d wrt d.
372
Let u(v) be the third derivative of -55/24*v**4 + 0 + 0*v - 6*v**3 + 63*v**2. Differentiate u(i) with respect to i.
-55
Let f = 599 + -489. What is the second derivative of 11*p**5 + f*p**5 + 286*p + 122*p**5 wrt p?
4860*p**3
Let j(d) be the first derivative of 29 - 1/2*d**2 + 119*d + 28/3*d**3. Differentiate j(u) wrt u.
56*u - 1
Let l(r) = -36*r**2 + 127*r - 7023. Let m(k) = -k**3 - 20*k**2 + 63*k - 3510. Let x(i) = -5*l(i) + 9*m(i). Differentiate x(w) wrt w.
-27*w**2 - 68
Suppose 0 = -3*c + 2*v + 4, 3*v - 2 = c - 1. What is the third derivative of -6*u**4 + 0*u**5 - 14*u + 0*u**5 - 1891*u**2 + u**6 + 1888*u**c wrt u?
120*u**3 - 144*u
Let a(j) be the second derivative of -j**7/42 - 2051*j**6/15 - j**3/6 - 404*j**2 - 2*j - 939. What is the second derivative of a(f) wrt f?
-20*f**3 - 49224*f**2
What is the second derivative of -456*u - 7*u**4 - 331*u + 3*u**4 - 93*u + 263*u**3 wrt u?
-48*u**2 + 1578*u
Let g(f) be the first derivative of 121*f**4/4 + 231*f - 515. Differentiate g(v) wrt v.
363*v**2
Let k(q) be the first derivative of -122*q**4 - 34*q**3 + 2*q + 748. Find the third derivative of k(n) wrt n.
-2928
Let p = 77 - 76. What is the second derivative of -2*f**2 - 27*f**3 - 71*f**3 - 2 + 8*f + 24*f - p + 9*f wrt f?
-588*f - 4
Suppose 17*r - 23*r = -54. What is the second derivative of -20*u**4 + 115*u**5 - 2*u - 7 - u**3 + u**3 - r + 22*u**4 wrt u?
2300*u**3 + 24*u**2
Suppose -409*l + 24 = -401*l. Find the third derivative of -158*q**3 - 155*q**3 + 106*q**l - 131*q**2 wrt q.
-1242
Let u(p) = 95*p**3 - 4*p**2 - p + 12. Let v be u(3). What is the third derivative of -7*n**3 + v*n - 3*n**3 - 2542*n + n**5 - 6*n**2 wrt n?
60*n**2 - 60
Let s(r) be the first derivative of 2221*r**5/5 - 1145*r - 1009. Find the first derivative of s(m) wrt m.
8884*m**3
Suppose -2*t - 12 = q - 14, -t - 2*q + 7 = 0. Let m be t/(4/8 - 4)*7. Find the third derivative of -56*f**4 - 30*f**2 - f**m + 89*f**4 wrt f.
792*f
Differentiate -3358 + 614*s - 220*s + 874 + 0*s - 1430*s with respect to s.
-1036
Let z(u) = -5743*u**2 + 55*u + 7114. Let f(d) = 3829*d**2 - 39*d - 4743. Let m(b) = 7*f(b) + 5*z(b). What is the first derivative of m(s) wrt s?
-3824*s + 2
Let j(a) be the first derivative of -451*a**4/4 + 4*a**3/3 + a**2/2 + 6003*a - 4402. Differentiate j(s) wrt s.
-1353*s**2 + 8*s + 1
Differentiate -6*v**3 + 49*v**2 + 29*v**3 - 5*v**3 - 6082 - 16*v**3 - 32*v wrt v.
6*v**2 + 98*v - 32
Let q(n) = -n**3 + n - 13. Let u(y) = -666*y**3 - 2*y**2 + 4*y - 8170. Let m(x) = 6*q(x) - u(x). Differentiate m(a) with respect to a.
1980*a**2 + 4*a + 2
Let k(u) be the third derivative of -223*u**7/30 + 7*u**5/60 - 9*u**3 - 2*u**2 + 1176. Find the third derivative of k(j) wrt j.
-37464*j
Let k(i) = 6*i**2 + 29*i + 608. Let x(b) = 8*b**2 + 29*b + 606. Let q(v) = 6*k(v) - 5*x(v). Differentiate q(j) wrt j.
-8*j + 29
Let p(v) be the second derivative of -10/3*v**3 - 10*v + 0*v**5 - 83/42*v**7 + 0*v**6 + 0*v**2 + 1 + 1/6*v**4. What is the third derivative of p(d) wrt d?
-4980*d**2
Let x(h) = -12*h**3 + 1061 + 92*h**2 - 136*h**3 - 1058. Let r(t) = 147*t**3 - 92*t**2 - 2. Let u(m) = 3*r(m) + 2*x(m). Find the third derivative of u(i) wrt i.
870
Let f(m) = -522*m**2 + 12*m + 767. Let h(b) = 1042*b**2 - 22*b - 1536. Let l(v) = -11*f(v) - 6*h(v). Differentiate l(r) with respect to r.
-1020*r
Suppose -240*p = -237*p - 12. Let n(u) = -25*u**4 + 4*u**3 + 3*u + 6. Let a(r) = -r**3. Let w(i) = p*a(i) + n(i). Find the second derivative of w(t) wrt t.
-300*t**2
Let m(w) = 10*w - 8. Let j be m(5). Let y = j - 38. Find the third derivative of -1593*g**4 - 36*g**2 + 1593*g**y - 28*g**5 wrt g.
-1680*g**2
Let p(s) = s**3 + 18*s**2 - 2*s - 34. Let j be p(-18). What is the third derivative of i**j - 2*i**5 + 3*i**6 + 0*i**6 - i**5 + 3 - 1 wrt i?
360*i**3 - 180*i**2
Suppose 0 = q, -5*o - 31 = -q - 6. Let l = o + 14. Differentiate 5 - 13*a + l - 3*a - 8*a with respect to a.
-24
Let q = -8508 + 8511. Let g(b) be the first derivative of 0*b**3 + 0*b**2 + 0*b**4 - q + 18*b + 7/5*b**5. What is the derivative of g(w) wrt w?
28*w**3
Let x(l) be the second derivative of -21*l**2 + 101/4*l**4 - 19 + 5*l - 2/3*l**3. Find the second derivative of x(f) wrt f.
606
Let r(k) be the third derivative of 2069*k**6/120 + 463*k**5/60 + k**4/24 + k**3/2 + 2*k**2 - 8*k + 177. Find the third derivative of r(c) wrt c.
12414
Let s(b) = b**2 + 9*b - 27. Let l be s(-14). Let m = l - 29. What is the derivative of -m + 0*w**3 - 21*w**3 + 35 wrt w?
-63*w**2
What is the third derivative of -1726*i**2 - 8237*i**3 + 2967*i**3 - 31*i**2 - 2901*i**3 - 4144*i**2 wrt i?
-49026
Let m(s) = -2006*s + 8367. Let c(u) = -4040*u + 16733. Let o(k) = 2*c(k) - 5*m(k). What is the first derivative of o(a) wrt a?
1950
Find the second derivative of -7410*g**3 - 282*g + 2 - 84*g - 5098*g**5 + 51*g + 7410*g**3 wrt g.
-101960*g**3
Let v(q)