 + 2*k + 5. Let y(q) = 5*q**2 - 11*q - 24. Let m(t) = s*y(t) + 11*w(t). Find the first derivative of m(z) wrt z.
-2*z
Differentiate -119*w**2 + 558*w**2 - 282*w**2 - 30 with respect to w.
314*w
Differentiate -213*a**3 - 674 - 233*a**3 + a**2 + 1397*a**3 - 403*a**3 - 307*a**3 wrt a.
723*a**2 + 2*a
Let v = -75 - -81. Differentiate 4*f**3 + v*f**3 - f**3 - 21 - 2*f**3 with respect to f.
21*f**2
Let t(c) = -3*c + 17. Let p be t(-4). Differentiate 24 + s**4 - p*s**4 - 9 wrt s.
-112*s**3
Suppose h + 0*h = 3. Let r = -1 + h. Find the second derivative of -y - y**4 + 3*y**r - 3*y**2 wrt y.
-12*y**2
Let m = 51 - 40. Find the third derivative of -5*h**4 - 32*h**2 - m*h**4 + 44*h**2 wrt h.
-384*h
Suppose -4*x + 6 = -x. What is the first derivative of 3*l**x - 8 + 7 - 7*l**2 wrt l?
-8*l
Find the first derivative of -21 - 58 + 19*h**3 + 48 wrt h.
57*h**2
Let q(x) be the second derivative of x**5/10 + 2*x**4/3 - 31*x**3 - 2*x - 22. What is the second derivative of q(f) wrt f?
12*f + 16
Suppose 5*i - 5*j = 3*i - 9, 0 = -2*j + 6. Suppose 4*c - 42 = -5*o, o - i*c = 3*o - 21. Find the third derivative of -3 + 4*m**o + 9*m**2 - 1 + 4 wrt m.
480*m**3
Let c(l) be the first derivative of -102*l**5/5 - 247*l + 209. Differentiate c(q) with respect to q.
-408*q**3
Let c(n) be the third derivative of -25*n**2 + 0*n**5 + 0*n - 1/24*n**4 + 0 + 2/21*n**7 + 0*n**3 + 0*n**6. What is the second derivative of c(t) wrt t?
240*t**2
Let w(r) be the first derivative of -19/3*r**3 + 2*r + 20 + 0*r**2. What is the derivative of w(u) wrt u?
-38*u
Let y(z) = -4*z**3 + 2*z**2 + 12*z - 712. Let n(m) = -7*m**3 + 5*m**2 + 25*m - 1423. Let x(u) = -2*n(u) + 5*y(u). Find the first derivative of x(k) wrt k.
-18*k**2 + 10
Let u(h) = 43*h**3 + 57*h**2 - 4*h - 1. Let p(d) = -174*d**3 - 228*d**2 + 18*d + 4. Let g(a) = 4*p(a) + 18*u(a). What is the third derivative of g(j) wrt j?
468
Let k(d) = -d**2 - 4*d + 2. Let n be k(-4). Suppose n*y = y. Differentiate g**4 + 15 + y*g**4 - 10 with respect to g.
4*g**3
Let b(x) be the second derivative of 13*x + 7/2*x**2 + 0 + 5/3*x**3. Differentiate b(g) with respect to g.
10
Let j be 6/33 + (-62)/(-22) + 0. What is the third derivative of -5*c**2 + j*c**6 - c**6 - 24*c**2 + 7*c**6 wrt c?
1080*c**3
Let b be (-8)/28 + (-111)/(-21) + -3. What is the third derivative of 33*d**2 + 3*d**4 - 17*d**b - 4*d**4 + 3*d**4 wrt d?
48*d
Let f(t) be the first derivative of 172*t**2 + 131*t - 384. Differentiate f(d) wrt d.
344
Let x(y) = 473*y**2 + 293. Let d(j) = -947*j**2 - 585. Let l(s) = 4*d(s) + 7*x(s). Differentiate l(t) wrt t.
-954*t
Suppose -6 = -3*n + 2*x, -3*x + 7 = 3*n + 1. What is the third derivative of 119*p**2 - 252*p**2 + 99*p**n - 34*p**3 wrt p?
-204
Let k(o) be the first derivative of -400*o**6/3 + 51*o**2 - 998. Find the second derivative of k(r) wrt r.
-16000*r**3
What is the third derivative of -51*l**2 + 433*l**3 - 485*l**3 + 4*l**2 wrt l?
-312
Suppose -2*t = -9 + 3. Find the third derivative of 0*i**t + 0*i**3 + 43*i**2 - 367*i**6 + 411*i**6 wrt i.
5280*i**3
What is the third derivative of 465*u**2 + 1058*u**3 + 198*u**6 - 1058*u**3 wrt u?
23760*u**3
Let x(t) be the second derivative of -526*t**3/3 + 448*t**2 + t + 35. Differentiate x(v) wrt v.
-1052
Let p = -7 - 4. Let k = -7 - p. What is the second derivative of 0*g + 7*g**4 - 4*g**4 + 2*g**k - 4*g wrt g?
60*g**2
Suppose 0 = 5*a - 63 - 22. Find the second derivative of -110*z + 1 - a*z**5 + 112*z - 9*z**5 + 1 wrt z.
-520*z**3
Let r(o) be the third derivative of o**6/40 + 9*o**5/20 + 55*o**4/12 + o**3/2 - 275*o**2. Find the second derivative of r(c) wrt c.
18*c + 54
Find the third derivative of -6*h**4 + 4*h**2 - 55*h**2 + 47*h**4 wrt h.
984*h
Let v(q) be the third derivative of -q**9/126 - q**6/6 + q**5/60 - 5*q**4/2 + q**2 + 50. Find the third derivative of v(c) wrt c.
-480*c**3 - 120
Suppose 0 = 4*t + t - 375. Suppose z = 2*x + 3*z - 30, 4*x - 48 = 2*z. Differentiate -t*s**2 + x - 4 + s**4 + 75*s**2 with respect to s.
4*s**3
Let v be 3/6 - (-2)/(-4). Let b be -3*3/(-18)*v. Find the second derivative of 2*p**4 + 11*p**2 - 11*p**2 + b*p**4 + 2*p wrt p.
24*p**2
Find the second derivative of -53*x**2 + 30*x**2 - 62 + 8*x + 67 wrt x.
-46
Let y(q) be the third derivative of -q**7/105 + q**4/8 + 41*q**3/6 + 40*q**2 - 1. What is the derivative of y(a) wrt a?
-8*a**3 + 3
Suppose 0 = -4*b - 3*q - 12, 0 = 4*b + q + q + 8. Let g(k) be the third derivative of 1/6*k**3 - k**2 + b*k + 0*k**4 - 1/10*k**5 + 0. Differentiate g(t) wrt t.
-12*t
What is the second derivative of -t + 139*t**3 + 14 + 75*t**3 - 4*t**3 - 99 wrt t?
1260*t
Suppose 4*v - 28 = -c, 4*c - 10 = 2*v + 30. Find the third derivative of c*x**3 - 52*x**3 - 183*x**2 + 163*x**2 wrt x.
-240
Suppose 2 = k - 12. Let d be 32/k - (-30)/(-105). What is the third derivative of 10*q**6 - 5*q**2 + 5*q**d - 7*q**2 wrt q?
1200*q**3
Let r(w) = 6*w**3 - w**2 - 2*w + 55. Let p(k) = 6*k**3 - 2*k**2 - 2*k + 56. Let g(j) = -4*p(j) + 5*r(j). What is the second derivative of g(h) wrt h?
36*h + 6
Suppose 0 = 6*r - 11*r + 65. Find the third derivative of -15*l**4 - r*l**4 + 9*l**4 + 26*l**2 - 6*l**4 wrt l.
-600*l
Find the third derivative of -702 - 21*a**2 + 35*a**3 - 114*a**2 - 349*a**3 + 702 wrt a.
-1884
Let s(n) be the second derivative of -11*n**7/21 + n**5/10 - n**4/6 + 31*n**3/6 - 2*n - 3. Find the third derivative of s(b) wrt b.
-1320*b**2 + 12
Let k(w) = -5*w**2 - 4*w - 2. Let o be k(-2). Let l = -10 - o. What is the second derivative of 2*i**l + 0*i + 2*i - i wrt i?
24*i**2
Let o(m) = m + 2. Suppose h - 4*h - 6 = 0. Let c be o(h). What is the second derivative of l + c*l + 3*l**2 + 4*l wrt l?
6
Suppose -4*y - 5 = -25. Find the third derivative of 5*x**2 - 67*x + y*x**4 + 67*x wrt x.
120*x
Let g(v) be the third derivative of 3/4*v**4 + 0*v - 23*v**2 + 0 + 3*v**3. What is the derivative of g(y) wrt y?
18
Suppose 5*s - 133 = -2*s. Find the second derivative of -s*y**3 + 2*y - 15*y**4 + 19*y**3 + 2*y wrt y.
-180*y**2
Find the third derivative of 12*a**5 - 19*a**5 + 408*a**2 - 190*a**2 + 6*a**6 wrt a.
720*a**3 - 420*a**2
Let l = 11 + -11. What is the second derivative of m + l*m - m**2 + 7*m - m wrt m?
-2
Let q(k) = -k**2 - k + 1. Let r(u) = 2*u**3 - 44*u**2 - 371*u + 2. Let d(f) = 2*q(f) - r(f). Find the second derivative of d(c) wrt c.
-12*c + 84
Let k(f) be the second derivative of 25*f**8/14 - 4*f**4/3 + 5*f**3/6 + 3*f + 39. Find the third derivative of k(q) wrt q.
12000*q**3
Let l(c) = 1 + 4320*c - 4320*c - c**2. Let y(b) = -29*b**2 - 6. Let x(p) = 4*l(p) + y(p). Differentiate x(j) with respect to j.
-66*j
Let f(m) be the third derivative of m**9/756 + m**5/12 - m**3/6 + 8*m**2. Let d(w) be the first derivative of f(w). Find the second derivative of d(b) wrt b.
80*b**3
Let w(d) be the second derivative of d**6/10 - 21*d**5/20 + 341*d**2/2 - 6*d - 14. Find the first derivative of w(q) wrt q.
12*q**3 - 63*q**2
Let i(t) = -164*t**2 + 12*t + 458. Let m(d) = -33*d**2 + 2*d + 92. Let p(k) = -2*i(k) + 11*m(k). Find the first derivative of p(a) wrt a.
-70*a - 2
What is the second derivative of -169*c**3 - 308018*c**2 + 308018*c**2 + 2*c + 87 wrt c?
-1014*c
Let j(k) be the first derivative of -17*k**8/840 - k**6/45 + 16*k**3/3 - 10. Let w(r) be the third derivative of j(r). Find the third derivative of w(p) wrt p.
-816*p
Let g(l) be the third derivative of 0*l - 11/24*l**4 + 11*l**2 + 0 - 1/3*l**3. Differentiate g(s) wrt s.
-11
Suppose 3*z - 9 = 6. What is the derivative of z - 1 + 20 - 5*k - 7 wrt k?
-5
Let v(m) be the second derivative of 0 - 13/2*m**2 + 5/3*m**3 - 8*m. Differentiate v(b) with respect to b.
10
Let o(v) = 6*v**2 + 11*v - 18. Let t be o(5). Find the second derivative of 6*z - t*z**4 + 102*z**4 - z + 112*z**4 wrt z.
324*z**2
Let o(v) = 3*v**2 - 11*v. Let y be o(5). Differentiate -26*k + 2 - 18 - y*k - 13*k wrt k.
-59
Let b(x) be the third derivative of 11*x**8/336 - x**7/7 + 19*x**5/60 - x**4/4 + 29*x**2 + 9. Find the third derivative of b(f) wrt f.
660*f**2 - 720*f
Let z(o) be the first derivative of -3*o**4/2 - 2*o**2 + 269*o - 107. What is the derivative of z(j) wrt j?
-18*j**2 - 4
Let y = -143 - -147. Let s(o) be the first derivative of 0*o**2 - 6*o - 5 + 0*o**3 + 7/4*o**y. Differentiate s(x) wrt x.
21*x**2
Differentiate 33 - t + 84 - 142*t**2 + 14