st derivative of d(q) wrt q.
-16*q - 4
Suppose -3*a = -9*a. Let w(h) be the second derivative of 1/3*h**3 + 0*h**4 + 1/4*h**5 + 0 - h + a*h**2. What is the second derivative of w(o) wrt o?
30*o
Suppose -5*x - 514 - 131 = -3*q, q - 5 = 0. Let z be 158/18 + (-28)/x. Find the second derivative of z*m + 2*m**5 + 2*m - 4*m wrt m.
40*m**3
Let i(k) be the first derivative of -7*k**6/120 - 4*k**3 - 19*k**2/2 + 22. Let t(g) be the second derivative of i(g). Differentiate t(w) wrt w.
-21*w**2
Let q(g) be the third derivative of 113*g**6/60 + g**5/15 - 7*g**3/3 - 120*g**2. Find the third derivative of q(s) wrt s.
1356
Find the first derivative of 0*k**2 + 55*k**2 - 6*k**2 - 19 + 29 wrt k.
98*k
Let t(k) = 265*k**2 + 5*k - 85. Let c(f) = -f**2 - f + 5. Let j(z) = -6*c(z) - t(z). Find the second derivative of j(o) wrt o.
-518
Suppose -5*z + 21 = 2*q, -4 = 3*q + 2. Find the third derivative of 2*t**2 + 10*t**5 - 5*t**2 + 12*t**z - 6*t**5 wrt t.
960*t**2
Find the second derivative of -211*r**4 + 327*r**4 + 737*r**4 + 681*r wrt r.
10236*r**2
Let k(n) be the first derivative of 0*n**3 - 20 - 15/2*n**4 - 7*n + 0*n**2. Find the first derivative of k(w) wrt w.
-90*w**2
Let v(l) be the first derivative of 0*l**4 - 10*l**2 - 38/5*l**5 + 0*l**3 + 0*l + 17. Find the second derivative of v(c) wrt c.
-456*c**2
What is the third derivative of -404*d**2 + 405*d**2 - 5 + 33 + 165*d**5 wrt d?
9900*d**2
Let s(f) be the first derivative of f**5/5 + 11*f**4/12 - 4*f + 8. Let m(c) be the first derivative of s(c). What is the third derivative of m(p) wrt p?
24
Suppose -12 = -5*y + 3*y. Find the second derivative of n - 3*n - y*n - 4*n**2 - 3*n wrt n.
-8
Let z(s) be the second derivative of -21*s**5 + 3*s**3 - 9*s - 8. What is the second derivative of z(n) wrt n?
-2520*n
Find the second derivative of 640*d**2 - 1253*d + 289*d + 440*d**2 wrt d.
2160
Let x(u) be the second derivative of 515*u**8/56 - u**4/12 - 147*u**2/2 - 25*u + 8. What is the third derivative of x(o) wrt o?
61800*o**3
Let b(h) = -h - 10. Let v be b(-13). Suppose -8*m = -v*m - 10. Find the third derivative of -m*s**5 + 2*s**4 + 2*s**2 + 3*s**4 - 5*s**4 wrt s.
-120*s**2
Let u = 41 + -22. Find the third derivative of 7*v**2 + 5*v**5 + v**5 - u*v**2 + 4*v**5 wrt v.
600*v**2
Let t(i) = i**3 - 12*i**2 - i + 12. Let a be t(12). Suppose a = 7*m + m - 48. Differentiate 151*w**2 - 151*w**2 - m - w**4 with respect to w.
-4*w**3
Let p(s) = 32*s**2 + 28*s - 9. Let h be 2 - (4 + -4 + 0). Let z(d) = 8*d**2 + 7*d - 2. Let w(o) = h*p(o) - 9*z(o). Find the second derivative of w(n) wrt n.
-16
Let k(v) be the third derivative of 0*v**6 - 11/210*v**7 + 0*v**3 + 10*v**2 + 0*v + 0*v**4 - 1/4*v**5 + 0. What is the third derivative of k(p) wrt p?
-264*p
Suppose 2*i = -16 + 18. What is the third derivative of 9*s**2 - 7*s**3 + 10 - i - 9 wrt s?
-42
What is the first derivative of -41*d - 8*d**2 - 569 + 6*d + 58*d**3 + 0*d + 35*d wrt d?
174*d**2 - 16*d
Let x(o) = -o + 10. Let i be x(3). Find the second derivative of i*m - 5*m**2 + m**2 - 13*m - 11*m wrt m.
-8
Let i = -6 + 8. Let c be i/(-2) + (-18)/(-3). Find the third derivative of -y**3 + y**3 - 5*y**5 - 5*y**2 - y**c wrt y.
-360*y**2
Let p(k) be the third derivative of 5*k**6/24 - 11*k**5/20 + 56*k**2. Find the third derivative of p(n) wrt n.
150
Let w = -44 + 51. What is the derivative of 24 - 26*i**3 - 15*i**3 + 6*i**3 + w*i**3 wrt i?
-84*i**2
Find the third derivative of 32*b**5 - 7*b**4 + 14*b**4 - 500*b**2 - 18*b**2 wrt b.
1920*b**2 + 168*b
Let g(v) be the second derivative of v**8/84 + v**4/24 + 19*v**3/6 - 24*v. Let a(d) be the second derivative of g(d). Find the first derivative of a(c) wrt c.
80*c**3
Differentiate -11*y + 8*y + 77 - 59*y + 26 - 15*y with respect to y.
-77
Let m(i) be the first derivative of 0*i**2 + 5/3*i**3 + 5*i - 6. What is the derivative of m(w) wrt w?
10*w
Let w(k) be the first derivative of 5*k**4/2 + 2*k**3/3 - 97*k + 29. Differentiate w(y) wrt y.
30*y**2 + 4*y
Let q(m) be the second derivative of -m**5/12 + 3*m**4/4 - 3*m**2 + 10*m. Let w(o) be the first derivative of q(o). What is the second derivative of w(c) wrt c?
-10
Let o(k) be the first derivative of -367*k**3/3 + k**2/2 + 59*k - 306. Find the second derivative of o(n) wrt n.
-734
Let t(m) = -5*m**3 - 6*m**2 - 22*m - 88. Let q(f) = 4*f**3 + 5*f**2 + 21*f + 88. Let n(a) = -6*q(a) - 5*t(a). What is the derivative of n(l) wrt l?
3*l**2 - 16
Let h(c) = 78*c**4 - 4*c**3 + 8*c**2 + 4*c + 26. Let j(l) = l**3 - 2*l**2 - l - 1. Let x(v) = -h(v) - 4*j(v). Find the first derivative of x(b) wrt b.
-312*b**3
Let l(w) be the third derivative of 37*w**4/4 + 4*w**3 + 278*w**2. What is the derivative of l(c) wrt c?
222
Let d(l) be the second derivative of 0*l**5 + 0*l**4 + 8*l + 0*l**3 + 1/15*l**6 + 0 - 7*l**2. Differentiate d(b) with respect to b.
8*b**3
Let v(x) be the first derivative of 5*x**6/6 - 3*x**4 - 39*x**3 - 81. What is the third derivative of v(k) wrt k?
300*k**2 - 72
Let j = -16 + 20. What is the second derivative of -j*w - 2*w**3 + 17*w**3 + 15*w wrt w?
90*w
Let n be 4 - (-19 - 15/(-5)). What is the third derivative of n*k**4 - 13*k**4 + 6*k**6 - 13*k**2 - 7*k**4 wrt k?
720*k**3
Let v(w) be the second derivative of -369*w**5/20 + 274*w**2 + 149*w. What is the first derivative of v(u) wrt u?
-1107*u**2
Suppose 36 = -2*b - 4*q, 3*q - 8 = 7*q. Let t be (-74)/b - (-4)/(-14). Find the second derivative of 2 + t*j**3 - 2 + 0 - j wrt j.
30*j
Let j(q) be the second derivative of -26*q**6/3 - 331*q**3/6 + 69*q + 3. What is the second derivative of j(s) wrt s?
-3120*s**2
Let p(t) = -t**3 + t**2 - 1. Let k(s) = -5*s**3 + 191*s + 2. Let x(d) = -k(d) - 2*p(d). What is the second derivative of x(o) wrt o?
42*o - 4
What is the third derivative of 334*l**2 - 193 - 44*l**4 + 3*l**3 - 68*l**4 + 193 wrt l?
-2688*l + 18
Let u(x) = 3*x + 13. Let q be u(0). What is the third derivative of 4*d**3 - 61*d**3 - 42*d**2 + q*d**2 + 5*d**2 wrt d?
-342
Let c(x) be the third derivative of -x**6/48 - x**5/30 - 7*x**4/12 - 4*x**2. Let b(u) be the second derivative of c(u). Find the first derivative of b(h) wrt h.
-15
Let o = 558 + -558. Let z(w) be the second derivative of -3/20*w**5 + o*w**4 + 0 - 2*w**2 + 0*w**3 + 3*w. What is the derivative of z(v) wrt v?
-9*v**2
Let y be 48/28 + (-4)/(-14). Find the second derivative of -q**2 + 50*q + 24*q**y - 34*q wrt q.
46
Let b(o) be the second derivative of 0*o**6 - 9/2*o**3 - 1/14*o**7 + 0*o**2 - 2 - 16*o + 17/20*o**5 + 0*o**4. What is the second derivative of b(k) wrt k?
-60*k**3 + 102*k
Let p(d) = -1. Let i(x) = 3*x - 1. Suppose 5*m = -4*g + 3, 5*m + 5*g - 2*g - 1 = 0. Let l(t) = m*i(t) + 2*p(t). What is the derivative of l(y) wrt y?
-3
Let o = 31 + -19. Suppose 0 = v + 4*v, -5*v + o = 3*j. Find the second derivative of -2*a**4 - 5*a**j + 2*a + 5*a**4 - 5*a**4 wrt a.
-84*a**2
Let i(b) be the second derivative of -23*b**7/14 - b**5/10 - 79*b**3/6 + 23*b - 6. Find the second derivative of i(k) wrt k.
-1380*k**3 - 12*k
Let u(t) = -158*t**4 + 3*t**3 - 3*t**2 + 3*t - 75. Let n(y) = -y**4 - y**3 + y**2 - y - 2. Let l(p) = -15*n(p) - 5*u(p). What is the derivative of l(i) wrt i?
3220*i**3
Let c(o) = -o + 13. Let x be c(6). Suppose 0 = x*l - 53 - 45. What is the third derivative of 14*w**2 - 244 + 244 - l*w**3 wrt w?
-84
Let t(x) = -x**2 + 1 - 1 + 9 - 8*x. Let z be t(-9). What is the third derivative of 0*a**6 + z*a**6 - a**2 - a**6 wrt a?
-120*a**3
Let c(h) be the first derivative of 260*h**3 + 568*h + 699. Differentiate c(u) wrt u.
1560*u
Suppose -138 = -4*m + 2*y, 3*m + 0*m - 123 = -5*y. Find the second derivative of 41*o**3 - 13*o**3 - m*o - o wrt o.
168*o
Let r(o) be the second derivative of 0 + 0*o**3 + 0*o**5 - 2/5*o**6 - 36*o - 17/12*o**4 + 0*o**2. Find the third derivative of r(p) wrt p.
-288*p
Let v be 1/(-4)*(4 + -12). Let i(l) be the first derivative of -3/4*l**4 + 0*l + 0*l**3 + 5/2*l**2 + v. Find the second derivative of i(z) wrt z.
-18*z
Let q(s) = -s**2 + 2*s + 2. Let k(o) = -o**2 + 8*o - 5. Let u be k(7). Let a be q(u). Differentiate -1 - 1 + 5 - 5 - a*b**4 with respect to b.
-8*b**3
Let t = 24 + -14. Let q(i) be the first derivative of 9*i**3 - 3*i + 0*i - t*i**3 - 2*i + 4. What is the first derivative of q(j) wrt j?
-6*j
Let z(y) = y**3 + 10*y**2 + 3*y + 30. Let d be z