8
Let q(w) be the second derivative of 89*w**5/10 - 56*w**3/3 + 179*w. Find the second derivative of q(h) wrt h.
1068*h
Let m(v) be the first derivative of -v**5 + 7*v**4/4 - 27*v**2/2 - 2*v + 27. What is the second derivative of m(k) wrt k?
-60*k**2 + 42*k
Let p(t) = -99*t**4 - 4*t**2 + 28*t - 6. Let o(z) = 198*z**4 + 9*z**2 - 56*z + 13. Let r(v) = -4*o(v) - 9*p(v). Find the second derivative of r(a) wrt a.
1188*a**2
Let y(t) be the second derivative of 0*t**5 + 0*t**3 + 0*t**4 - 2/5*t**6 + 0 + 5/2*t**2 + 10*t. Differentiate y(g) with respect to g.
-48*g**3
Find the second derivative of -58*r**3 + 131*r**3 - r + 76*r**3 - 97 wrt r.
894*r
Suppose 4*a = 4*d - 3*d - 3, 0 = 2*a - 3*d + 9. Suppose -r - 7 = -4*g - 2*r, 5*g + 4*r + 5 = 0. Differentiate 3 + 11*c**4 + a*c - g*c + 3*c wrt c.
44*c**3
What is the second derivative of -104*y**2 - 156*y - 133*y**2 - 147*y**2 + 477*y wrt y?
-768
Suppose 0 = 4*r - 12, -2 = -4*o - 0*r + 2*r. Let q be -2 + (o - 16/(-4)). What is the second derivative of -14*s**2 - s**q + 14*s**2 + 8*s**4 - 2*s wrt s?
84*s**2
Let r be (2/(-1) - -9) + 2. Let z(h) = 15*h - 113. Let g be z(8). Find the second derivative of 16*x + g*x**4 - r*x - 3*x**4 wrt x.
48*x**2
What is the third derivative of 48*k**4 - 40*k**2 + 21*k**2 + 19*k**2 + 18*k**2 wrt k?
1152*k
Let z(a) be the second derivative of -47*a**5/20 + a**4/3 - 8*a**3 + a - 181. Find the third derivative of z(t) wrt t.
-282
Let l(s) be the first derivative of -11*s**5/120 - 5*s**4/4 + 7*s**3/3 + 14. Let h(o) be the third derivative of l(o). Differentiate h(d) wrt d.
-11
Let b(p) be the third derivative of 188*p**7/105 - 557*p**3/6 + p**2 + 33*p. What is the derivative of b(j) wrt j?
1504*j**3
Let c(l) be the third derivative of -19*l**6/24 + 13*l**3 - 97*l**2 + 2. Find the first derivative of c(p) wrt p.
-285*p**2
Let d(x) be the third derivative of 205*x**8/112 + 53*x**4/24 + x**3/6 + 563*x**2. Find the second derivative of d(u) wrt u.
12300*u**3
Let c = -11 - -18. Suppose 5*j - 32 = -c. What is the first derivative of -j*g**3 + 9*g**3 + 2*g**3 - 7 wrt g?
18*g**2
What is the derivative of 47 + 11 + 7770*o**4 - 7789*o**4 wrt o?
-76*o**3
Let z(s) be the first derivative of s**6/2 - 3*s**5/5 + 32*s**2 + 41. Find the second derivative of z(a) wrt a.
60*a**3 - 36*a**2
Let a = 128 - 122. Let s(w) = 2*w**2 + 17*w + 6. Let v(p) = -3*p**2 - 33*p - 11. Let q(x) = a*v(x) + 11*s(x). Find the second derivative of q(z) wrt z.
8
Let c be 12 - (22/18 + 28/(-126)). Differentiate 13 + 11 + c*j - 4 with respect to j.
11
Let b(a) = -15*a**2 + 2*a - 1. Let k be b(1). Let h = -10 - k. What is the second derivative of 2*t**4 + 0*t + 6*t - t**h - 3*t wrt t?
12*t**2
Let y(z) = -4*z**3 + 5*z**2 - 1202*z + 14. Let r(m) = -3*m**3 + 3*m**2 - 601*m + 8. Let c(f) = 7*r(f) - 4*y(f). What is the second derivative of c(h) wrt h?
-30*h + 2
Let s(v) = 636*v**3 + 254*v + 10. Let i(u) = 212*u**3 + 85*u + 4. Let p(g) = 8*i(g) - 3*s(g). What is the second derivative of p(j) wrt j?
-1272*j
Let d(x) be the second derivative of 673*x**6/30 + 227*x**3/6 - x**2 - 3*x - 12. What is the second derivative of d(o) wrt o?
8076*o**2
Let a(w) be the second derivative of 71*w**7/21 - w**4/6 - 41*w**2/2 - 399*w. Find the third derivative of a(s) wrt s.
8520*s**2
Suppose 4*x - 4 - 20 = 0. Find the third derivative of -7*p**6 + 3*p**6 - 7*p**x + 12*p**2 wrt p.
-1320*p**3
Let u(s) = -158*s**5 + 6*s**3 + 389*s**2 - 6*s. Let o(r) = 2*r**5 - r**3 + r**2 + r. Let y(w) = 6*o(w) + u(w). What is the third derivative of y(k) wrt k?
-8760*k**2
Let a(y) be the second derivative of 277*y**4/6 + 941*y**3/6 - 63*y + 1. Find the second derivative of a(f) wrt f.
1108
Differentiate -12 + 50 - 245 + 46*z - 112*z with respect to z.
-66
Find the third derivative of 117*y - 28*y**2 + 61*y**3 - 18*y**2 + 67*y**2 - 23*y**2 wrt y.
366
Let f(r) be the third derivative of 43*r**8/168 - 113*r**4/24 - 5*r**2 + 5. What is the second derivative of f(j) wrt j?
1720*j**3
Find the second derivative of -81*f**5 - 4*f - 1 - 30*f - 4*f wrt f.
-1620*f**3
Let l = -41 - -27. Let o = l + 17. What is the first derivative of -6 + 2*h**o - 5*h + 5*h - 8*h**3 wrt h?
-18*h**2
Suppose 12 - 42 = -5*t. Suppose -4*d + 3*b + 1 - 7 = 0, 0 = -3*b + t. Differentiate -h + h + d*h - 2*h**4 - 13 with respect to h.
-8*h**3
Let v(m) = 4*m**2 + 7*m + 12. Let s = -17 - -24. Let z(w) = -4*w**2 - 6*w - 11. Let t(i) = s*z(i) + 6*v(i). Differentiate t(q) with respect to q.
-8*q
Let f(m) = 21*m**2 - 40. Let q(a) = -21*a**2 + 39. Let s = 26 - 21. Let i(g) = s*f(g) + 6*q(g). What is the first derivative of i(t) wrt t?
-42*t
Suppose 6*u - 25 = -13. Find the third derivative of -6*r**2 + 0*r**2 + u*r**5 - 13*r**2 + 2*r**5 wrt r.
240*r**2
Let n = 91 - 56. Suppose -y - n = -133. What is the third derivative of y*z + 5*z**2 - 6*z**3 - 98*z wrt z?
-36
Suppose -56*t + 76*t - 40 = 0. Let b(y) = -2*y - 4. Let l be b(-3). What is the third derivative of -6*z**4 + 5*z**2 + 0*z**t + 0*z**l wrt z?
-144*z
Let t(k) = -34*k**2 + 3. Let i(x) = -x**2 + 2*x + 26. Let o be i(7). Let d(m) = 69*m**2 - 6. Let y(q) = o*t(q) - 4*d(q). Differentiate y(h) wrt h.
60*h
Let k(n) = 59*n**4 + 2*n**3 + 5*n**2 - 6*n + 2. Let x(t) = -t**3 - t - 1. Let v(s) = k(s) + 2*x(s). What is the third derivative of v(r) wrt r?
1416*r
Let l(z) = 331*z + 301. Let x(o) = -663*o - 605. Let s(t) = 7*l(t) + 4*x(t). Differentiate s(m) wrt m.
-335
Let v(p) be the third derivative of -139*p**4/12 + 21*p**3/2 + 61*p**2. What is the first derivative of v(u) wrt u?
-278
Let k(g) be the second derivative of 0*g**5 + 0*g**2 + 0*g**4 + 8*g**3 + 34*g + 13/21*g**7 + 0 + 0*g**6. Find the second derivative of k(r) wrt r.
520*r**3
Let a(g) = 14*g**2 - 6*g**2 + 152 - 5*g - 159. Let c(l) = l**2 + l + 1. Let b(p) = a(p) + 5*c(p). Differentiate b(s) with respect to s.
26*s
Let y(n) = n**2 - 12. Suppose -3*q = 2*q + 20. Let x be y(q). What is the derivative of -289*b**2 + 289*b**2 - 1 + 4*b**4 + 0*b**x wrt b?
16*b**3
Let o(z) = -6*z**2 + 7*z**2 + z - 5*z. Let s(j) = j. Let c(t) = -2*o(t) - 4*s(t). Find the second derivative of c(y) wrt y.
-4
What is the third derivative of -11*d**2 + 62*d**2 - 10*d**2 + 25*d**2 - 68*d**3 + 119*d**2 wrt d?
-408
Let p(f) = f**2 - 6*f - 8. Let b be p(8). What is the third derivative of -c**2 + 9*c**2 + 36*c**4 + b*c - 8*c wrt c?
864*c
Let p(i) = -i**3 + 3*i**2 + i - 1. Let w be 2 - (-4 + 3)*0. Let u be p(w). What is the second derivative of -4*v**5 - u*v - v - v**5 - v wrt v?
-100*v**3
Let c(o) = o**2 + 4*o + 52. Let m(j) = -2*j**2 - 8*j - 103. Let w(s) = -5*c(s) - 2*m(s). Differentiate w(r) wrt r.
-2*r - 4
Let x = -14 - -38. What is the third derivative of x + 28 - 52 + 11*s**5 - 24*s**2 wrt s?
660*s**2
Let p(a) be the first derivative of 37*a**3 - 539*a**2/2 - 336. Find the second derivative of p(w) wrt w.
222
Suppose 0 = i + 4*l - 22, -2*i + 5*l = 3*i + 15. Find the third derivative of -30*t**3 + 33*t**i + t**3 + 2*t**3 wrt t.
-162
Differentiate -27 + 84*l - 6 + 11 - 12 with respect to l.
84
Let p(z) = -307*z**3 + 17*z**2 - 24*z + 5. Let o(c) = 307*c**3 - 20*c**2 + 25*c - 6. Let s(l) = -5*o(l) - 6*p(l). What is the third derivative of s(h) wrt h?
1842
Let o(r) = -2*r**3 - 19*r**2 - 12. Let l(p) = 3*p**3 + 37*p**2 + 24. Let u(z) = 3*l(z) + 5*o(z). What is the first derivative of u(j) wrt j?
-3*j**2 + 32*j
Suppose -2*g + 42 = 10. Find the second derivative of -13*n**3 + g*n - 29*n + 7*n wrt n.
-78*n
Let u(b) be the first derivative of 32*b**5 + 107*b**3/3 + 239. What is the third derivative of u(l) wrt l?
3840*l
Let c be ((-15)/(-4) + -4)*(-5 + -1). Let v(j) be the first derivative of c*j**4 + 0*j - 6 - 4/3*j**3 + 0*j**2. What is the third derivative of v(p) wrt p?
36
Suppose 6*v - 7*v = 0. Let c(d) be the second derivative of 0 + v*d**5 + 1/10*d**6 + 0*d**3 - 1/6*d**4 + 5*d + 0*d**2. Find the third derivative of c(t) wrt t.
72*t
Let o(w) = -2*w**3 + w. Let x(i) = 111*i**4 - 8*i**3 + 4*i + 206. Let n(p) = -4*o(p) + x(p). Differentiate n(j) with respect to j.
444*j**3
Let u(m) = 39*m**4 - 24*m**3 - 8*m - 15. Let d(g) = g**4 - 3*g**3 - g - 1. Let z(o) = -24*d(o) + 3*u(o). Find the first derivative of z(c) wrt c.
372*c**3
Let x(z) = -39*z**3 - 5*z**2 + 5*z + 406. Let u(m) = 20*m**3 + 2*m**2 - 2*m - 203. Let d(a) = -5*u(a) - 2*x(a)