r**4. Differentiate s(b) with respect to b.
-30
Let m = -65 + 89. Find the first derivative of m + 52*i**4 + 25 + 0*i**2 + 0*i**2 wrt i.
208*i**3
Let p(t) be the first derivative of 101*t**5/5 - 4*t**2 - 106. Find the second derivative of p(y) wrt y.
1212*y**2
Differentiate -52*h - 510843 + 510380 + 274*h with respect to h.
222
Differentiate 1 + 19*p**2 - 1 + 8 - 2 with respect to p.
38*p
Let j(t) be the third derivative of -t**8/56 + t**6/30 + 17*t**5/30 + 33*t**2 - 2*t. Find the third derivative of j(v) wrt v.
-360*v**2 + 24
Let g(n) be the third derivative of 3/4*n**4 + 9/70*n**7 + 0*n**5 + 0*n**6 + 0*n + 0*n**3 + 32*n**2 + 0. What is the second derivative of g(c) wrt c?
324*c**2
Find the third derivative of -1774*h**2 + 3413*h**2 - 1910*h**2 - h**3 + 5*h**4 wrt h.
120*h - 6
Let d(f) = -21*f**2 + 13*f + 51. Let x(g) = -5*g**2 + 3*g + 13. Let w be (-2)/12 - 105/18. Let k(v) = w*d(v) + 26*x(v). Find the first derivative of k(y) wrt y.
-8*y
Let u(s) be the first derivative of 3*s**2 + 4/3*s**3 + 0*s - 17. Find the second derivative of u(a) wrt a.
8
Let q(w) be the second derivative of 69*w**5/2 - 41*w**4/3 - 14*w - 8. Find the third derivative of q(x) wrt x.
4140
Let p(n) = -n**3 - n**2 - n + 1. Let g(q) = 60*q**3 + 117*q**2 + 5*q - 5. Let v(z) = -g(z) - 5*p(z). What is the third derivative of v(w) wrt w?
-330
What is the third derivative of -39*d**3 - 371*d**3 + 884*d**2 + 106 - 106 wrt d?
-2460
Let h(f) be the third derivative of -f**9/504 + 51*f**7/70 - 69*f**5/5 - 10*f**2 + 18*f. What is the third derivative of h(g) wrt g?
-120*g**3 + 3672*g
Let w(l) = -2*l + 5. Let v be w(-3). What is the second derivative of -v*y**5 - 22*y + 8*y - 16*y wrt y?
-220*y**3
Suppose -2*l + 7 = -3*l. Let x(f) = -2*f - 9. Let s be x(l). What is the derivative of 9*b + 4 - s*b**4 - 9*b wrt b?
-20*b**3
Let t be 44 + 6/(-3) + (-1 - -1). Find the second derivative of 13*q**5 + 35*q**5 - q + t*q - 8*q**5 wrt q.
800*q**3
Let k(j) = 46*j**2 + 63. Let d(r) = -47*r**2 - 61. Let a(h) = -2*d(h) - 3*k(h). Differentiate a(s) with respect to s.
-88*s
Let t = 8 - 6. Differentiate t + 3*z**2 + 7*z**2 + 3*z**2 - 5*z**2 wrt z.
16*z
What is the third derivative of 9*p**3 - 19*p**3 - 4*p**5 - 63*p**2 + 6*p**5 wrt p?
120*p**2 - 60
Let j(t) = -13*t**2 - 2*t - 6. Let h be 5*(-88)/(-60)*3. Let v(d) = -66*d**2 - 11*d - 29. Let b(a) = h*j(a) - 4*v(a). Differentiate b(f) with respect to f.
-44*f
Suppose 0 = -3*f + 5*f - 6. Let w = 0 + f. Find the second derivative of 8*v - 3*v + v - v**3 + 7*v**w wrt v.
36*v
Let t(z) = 249*z**2 - 191. Let o(x) = -83*x**2 + 63. Let c(q) = -7*o(q) - 2*t(q). Differentiate c(d) with respect to d.
166*d
Let k be (-1)/((-1)/(-44)*2). Let t = -18 - k. What is the second derivative of 2*b + 2*b**2 + 3*b**2 - 3*b + t*b**2 wrt b?
18
Let w(o) = o**2 - 2*o + 4. Let l be w(2). Find the second derivative of 0*f - l*f - 2*f + 3*f**2 - 11*f**2 wrt f.
-16
Find the third derivative of 590*w**6 + 228*w**2 + 577*w**2 + 185*w**6 + 84*w**6 wrt w.
103080*w**3
Find the second derivative of -512*t**2 - 204*t - 390*t**2 - 340*t + 98*t**2 wrt t.
-1608
Let z(q) be the second derivative of 4*q**7 + q**3/3 + 35*q**2 - 6*q - 7. Find the second derivative of z(u) wrt u.
3360*u**3
Let w be ((-24)/(-18))/(2/21). Differentiate -w*n**2 + 9*n**2 + 11 - 4*n**2 with respect to n.
-18*n
Let m(d) be the first derivative of -179*d**4/2 - 688*d + 698. Differentiate m(r) wrt r.
-1074*r**2
Let q(o) = 168*o**2 + 220*o - 12. Let k(s) = s**2 + 2*s + 2. Let h(y) = 6*k(y) + q(y). What is the second derivative of h(p) wrt p?
348
Let w(c) be the first derivative of -4*c**6/15 + 2*c**3/3 + 20*c - 12. Let f(h) be the first derivative of w(h). Find the second derivative of f(x) wrt x.
-96*x**2
Suppose 41*y = 44*y - 6. Let i(r) be the second derivative of 1/6*r**6 + 0*r**4 + 0*r**3 + 0 + 0*r**5 - y*r**2 + 5*r. Differentiate i(o) with respect to o.
20*o**3
Differentiate 470*y**3 + 3111*y - 3111*y + 845 wrt y.
1410*y**2
Let n = 133/24 - 16/3. Let q(u) be the third derivative of 0*u**3 + 0*u + u**2 + n*u**4 + 1/15*u**5 + 0. Find the second derivative of q(l) wrt l.
8
Let o(v) = -v**3 + 28*v**2. Let q be o(28). Let g(s) be the first derivative of q*s - 5/4*s**4 + 5 + 0*s**3 - s**2. What is the second derivative of g(r) wrt r?
-30*r
Let a(s) be the second derivative of 11/3*s**3 + 5*s + 0*s**2 + 0 - 1/4*s**4. Find the second derivative of a(u) wrt u.
-6
Let v(g) be the third derivative of 11*g**2 + 0 + 0*g**6 + 0*g**5 + 1/6*g**4 + 0*g**3 + 1/30*g**7 + 0*g. What is the second derivative of v(d) wrt d?
84*d**2
Let v(j) be the third derivative of 361*j**7/105 - 347*j**5/60 - j**3/3 - 6*j**2 - 39*j. Find the third derivative of v(i) wrt i.
17328*i
Suppose 4 = -2*p + 2. Let m(u) = -49*u - 58*u + 108*u - 1. Let f(h) = 5*h**2 - 4*h + 2. Let y(n) = p*f(n) - 2*m(n). Find the second derivative of y(w) wrt w.
-10
Suppose -16 + 4 = -4*j. Differentiate 0*t + 71*t**3 + 0*t - 73*t**j + 2 wrt t.
-6*t**2
Let j(k) = 10*k**3 + 31*k**2 - 92*k - 13. Let c(m) = 6*m**3 + 16*m**2 - 46*m - 7. Let u(f) = -7*c(f) + 4*j(f). What is the second derivative of u(v) wrt v?
-12*v + 24
Suppose -9 = -j - 4*x + 1, -5*x = -4*j - 23. Let y(w) = -w**3 - 3*w**2 - 3*w - 1. Let k be y(j). What is the derivative of k + 3 + 0*v**2 - v**2 + 3 wrt v?
-2*v
Let c(u) be the second derivative of -u**7/180 - u**5/10 + 17*u**4/12 - 24*u. Let t(f) be the third derivative of c(f). Differentiate t(n) with respect to n.
-28*n
Let z = 74 + -71. Let y(d) = d + 2. Let b be y(0). Find the third derivative of 4*w**3 - 11*w**b + w**z + 10*w**2 wrt w.
30
Find the first derivative of -12*c + 36*c - 6*c + 117 + 21*c + 41*c wrt c.
80
Let d(u) be the third derivative of -647*u**6/120 + u**5/30 - 2*u**4/3 - 121*u**2. What is the third derivative of d(b) wrt b?
-3882
Let y = -53 - -57. Let v(q) = 2*q**2 - 3*q - 4. Let l be v(3). Find the first derivative of 5 - 5 - y*z**4 + l wrt z.
-16*z**3
What is the derivative of -220 + 82*f + 6*f + 189 wrt f?
88
Let p be 3 + -4 + 2 + 2. Find the third derivative of -2*t**3 + 5*t**2 + t**2 + 9*t**p + 5*t**2 wrt t.
42
Let g(a) be the third derivative of 0 - 28*a**2 - 20/3*a**3 + 0*a + 1/3*a**4. Find the first derivative of g(i) wrt i.
8
Let y(b) = -23*b**4 + 11*b**2 + 36*b + 5. Let j(w) = -12*w**4 + 5*w**2 + 17*w + 3. Let s(l) = 5*j(l) - 3*y(l). What is the second derivative of s(h) wrt h?
108*h**2 - 16
Let w(b) = b**3 + 3*b**2 - 2*b - 3. Let n be w(-2). What is the second derivative of 19*z**5 + 18*z - 7*z**5 - 2*z**n wrt z?
200*z**3
Let l(r) be the second derivative of -19*r**7/42 + 7*r**6/15 + 58*r**4/3 + 325*r. What is the third derivative of l(n) wrt n?
-1140*n**2 + 336*n
Let y(x) = 44*x**3 - 3*x**2 + 18*x + 1085. Let q(t) = 89*t**3 - 6*t**2 + 39*t + 2170. Let g(w) = -6*q(w) + 13*y(w). What is the first derivative of g(j) wrt j?
114*j**2 - 6*j
Let d(v) be the third derivative of -83*v**7/210 + v**5/30 + 75*v**4/8 - 9*v**2 - 3. What is the second derivative of d(k) wrt k?
-996*k**2 + 4
Let l be 12 - (-1 - (-2 + 3)). Suppose -j + 0*j = -l. Find the third derivative of -j - 3*u**2 + 5*u**2 + 14 + 5*u**6 wrt u.
600*u**3
Let w(c) be the first derivative of -c**6/6 + 2*c**5/5 - c**3/3 + 30*c + 16. What is the third derivative of w(z) wrt z?
-60*z**2 + 48*z
Let l be (7 + -3)*1/(-2). Let d be -2*(l + 0) - 2. What is the first derivative of 33 - 14 - 24 + 9*b**d wrt b?
18*b
Let v(q) = -q**3 + q**2 + 1. Let j(h) = -15*h**3 - 4*h**2 - 5. Let r(y) = j(y) + 4*v(y). Differentiate r(p) wrt p.
-57*p**2
Let y(b) be the third derivative of -13/24*b**4 + 0*b + 10*b**2 + 0*b**3 + 4/15*b**5 + 0. Find the second derivative of y(f) wrt f.
32
Let l(j) be the second derivative of -j**6/10 - 7*j**3/6 - 6*j**2 - 3*j. Let p(y) be the first derivative of l(y). What is the derivative of p(z) wrt z?
-36*z**2
Let g(i) = 2*i - 25. Let r be g(14). Differentiate -13*s**2 - 2*s**2 - r*s**2 + 6 + 7*s**2 wrt s.
-22*s
Let y = 265 - 265. Let o(i) be the third derivative of 0*i**3 - i**2 + 0*i**4 - 7/60*i**5 + y + 1/30*i**6 + 0*i. What is the third derivative of o(c) wrt c?
24
Let o(v) = v**4 - 2*v**3 + v**2 + 2*v - 1. Let l(c) = 66*c**4 + 4*c**3 - 2*c**2 - 2*c - 11. Let r(j) = l(j) + 2*o(j). Find the second derivative of r(u) wrt u.
816*u**2
Let p(q) be the second derivative o