 - 666. What is the derivative of 6 + 91*w**2 - 1 - j*w**2 wrt w?
-40*w
Suppose 5*z + 8 = 5*y + 3, 5*z + 2*y = 2. Let a(k) be the second derivative of -k + z - 5/6*k**3 - 3/2*k**2. What is the derivative of a(b) wrt b?
-5
What is the third derivative of 6 - 30*f**2 + 264*f**3 + 0 - 3 - 1 - 6 wrt f?
1584
Let k(f) be the first derivative of f**2/2 + 6*f + 4. Let a be k(-4). Differentiate -5 + 3*i**a + 0 - 1 with respect to i.
6*i
Let x be 36/24*4/3. Find the second derivative of 4*m**4 + 4*m + 3*m**4 - x*m - 16*m**4 wrt m.
-108*m**2
Let n(r) = -r**3 - 8*r**2 + 9*r + 3. Let c be n(-9). Find the third derivative of -540*m + 2*m**2 + 2*m**c + 540*m wrt m.
12
Let h = 37 - 10. Find the second derivative of 24 + 7*b**4 - 51 - 45*b + h wrt b.
84*b**2
Let x(b) be the third derivative of -41*b**8/336 - b**5/15 - 77*b**4/8 + 229*b**2. Find the second derivative of x(v) wrt v.
-820*v**3 - 8
Let i be (1 - -41)*(-3)/(-2). Suppose -2*u - 16 = -4*b + u, -5*b - 4*u + 20 = 0. Find the second derivative of 65*m - 4 - i*m - 7*m**4 + b wrt m.
-84*m**2
Suppose -v = 4*k - 0*k - 3, -3*v + 2*k + 9 = 0. Find the second derivative of -439*l**2 + 439*l**2 - 25*l**v + 11*l wrt l.
-150*l
What is the second derivative of -276*z**2 + 277*z**2 - 4*z**4 + 24*z**4 + 56*z wrt z?
240*z**2 + 2
Let a(o) be the first derivative of 5*o**7/7 - 2*o**5 + 14*o**3 - 88. What is the third derivative of a(u) wrt u?
600*u**3 - 240*u
Let i(v) be the second derivative of 47*v**7/21 + v**3/3 + 16*v**2 + 11*v. What is the second derivative of i(j) wrt j?
1880*j**3
Find the second derivative of 11 - 716*p**5 - 3 - 35 + 5*p - 47 - 4*p wrt p.
-14320*p**3
Suppose -3*r + 3*k - 2*k + 5 = 0, -r - 3*k + 5 = 0. What is the third derivative of -14*j**r + 23*j**6 + 35*j**6 - 14*j**6 wrt j?
5280*j**3
Let x(w) be the second derivative of 37*w**4/4 + 47*w**2/2 - 82*w. Find the first derivative of x(g) wrt g.
222*g
Suppose -2*o - 5 = -w, -5*w = -7*o + 2*o. Let x = o + 7. Find the third derivative of 2*v**2 + x*v**4 + 26*v - 26*v wrt v.
48*v
Let o = 6 - 4. Let m be 4/10 + (-198)/(-30). Find the second derivative of -3*d**o - 4*d - m*d**2 + 5*d + 0*d wrt d.
-20
Let u(v) be the third derivative of 61*v**7/210 - 40*v**3/3 + 2*v**2 + 7. Find the first derivative of u(a) wrt a.
244*a**3
What is the first derivative of 239*l**4 - 7*l**3 - 53 + 235 + 2*l**3 + 5*l**3 wrt l?
956*l**3
Let i(o) be the third derivative of 0 - 11/40*o**6 + 0*o**5 + 0*o**3 + o**2 + 5/6*o**4 + 0*o. Find the second derivative of i(s) wrt s.
-198*s
Let t(c) = 6*c**4 - 2*c**2 + 2*c + 9. Let s = 43 + -47. Let k(g) = -g**4 + g**2 - g - 1. Let v(o) = s*k(o) - 2*t(o). What is the derivative of v(q) wrt q?
-32*q**3
Let a = 2 - -1. Let y = a + 0. What is the first derivative of 7*g**3 - g**y - g - 3 + g wrt g?
18*g**2
Let l(y) = 0*y + 20 + y - 2*y. Let c be l(15). Find the third derivative of -c*k**2 + 14*k**3 + k**2 - 7*k**3 wrt k.
42
Let b(a) be the first derivative of 5*a**4/2 - 2*a**3/3 + 151*a**2/2 - 35. What is the second derivative of b(v) wrt v?
60*v - 4
Let l be 2/7 - 48/(-28). Suppose -5*k - f + 27 = 0, 5*k - l*f - 23 = -f. Differentiate -k*x - 2*x - x - 5 with respect to x.
-8
Suppose -5*k = k - 6. Let h = k + 3. What is the second derivative of h*m**2 + 3*m - 4*m**2 - 4*m + 6*m**3 wrt m?
36*m
Let t be 6 - ((-310)/(-70) - 6/14). Let v(a) be the first derivative of 6 + 5/3*a**3 + 0*a**t - 6*a. What is the derivative of v(s) wrt s?
10*s
Let u(k) = -27 - 18*k**2 - k**3 + 5*k**2 - 12*k + 29. Let z be u(-12). What is the third derivative of 2*s**2 - 2*s**z + 4*s**3 + 2*s**2 - 5*s**3 wrt s?
-6
Find the third derivative of -3*r**5 - 137*r**2 + 371379 - 371379 wrt r.
-180*r**2
Let j(y) be the second derivative of -137*y**4/12 - 198*y**2 + 32*y - 6. What is the first derivative of j(f) wrt f?
-274*f
Let i(n) = n - 1. Let t = -94 + 90. Let g(a) = -25*a**2 - 4*a + 31. Let k(m) = t*i(m) - g(m). Find the first derivative of k(f) wrt f.
50*f
Let j(g) = 84*g**3 + 30*g**2 + 2*g + 10. Let b(t) = 252*t**3 + 90*t**2 + 6*t + 28. Let q(h) = 5*b(h) - 14*j(h). What is the third derivative of q(y) wrt y?
504
What is the second derivative of 42*c + 113*c**5 + 5 + 59*c - 113*c wrt c?
2260*c**3
Find the second derivative of 11*x - 11*x**3 + 557*x**4 - 81*x**3 + 1 + 13 - 559*x**4 wrt x.
-24*x**2 - 552*x
Let x(f) = 74*f**3 + 3*f**2 + f - 63. Let v(n) = 73*n**3 + 4*n**2 + n - 64. Let d(p) = 3*v(p) - 4*x(p). Find the second derivative of d(u) wrt u.
-462*u
Find the third derivative of -78*z**3 - 17*z**3 + 17*z + z**2 - 12*z**3 wrt z.
-642
Let i be (-4)/(-8)*(-5)/((-10)/28). Differentiate -12*j**4 + i*j**4 - 7*j**4 - 15 with respect to j.
-48*j**3
Let v be 2/(-6) + (-62)/(-6). Suppose -5*p + 0 = -v. Find the second derivative of -p*y + 5*y**3 - 6*y**3 - 6*y - 7*y**3 wrt y.
-48*y
Let i(j) be the third derivative of 0*j + 32*j**2 + 0*j**3 - 1/12*j**6 + 7/4*j**4 + 0*j**5 + 0. Find the second derivative of i(o) wrt o.
-60*o
Differentiate -11*t**2 - 4*t**3 + 6*t**3 - 11*t**3 - 6*t**3 - 297 - 2*t**3 with respect to t.
-51*t**2 - 22*t
Suppose 7*x - 4*x = -96. Let d = -21 - x. What is the second derivative of -6*z + z**2 + d*z + z**2 wrt z?
4
Differentiate -247*k**4 - 309 - 113*k - 170 - 40*k**4 + 113*k wrt k.
-1148*k**3
Let r = 23 + -23. Differentiate r*v - 2 - 5*v - 2*v**2 + 5*v wrt v.
-4*v
Let j(w) be the third derivative of w**8/14 + 2*w**7/105 + 241*w**4/24 + w**2 - 7. Find the second derivative of j(z) wrt z.
480*z**3 + 48*z**2
Let b = 12 + -10. Suppose 2*f - b*d = 20, f - 27 + 12 = -4*d. What is the third derivative of -11*a + f*a - 6*a**2 - 3*a**5 wrt a?
-180*a**2
Let v(h) = -h**2 - 1. Let q(n) = 758*n**2 - 100*n + 5. Let r(d) = -q(d) - 4*v(d). Find the second derivative of r(p) wrt p.
-1508
Let g(l) be the second derivative of -5*l**5/12 + 3*l**4/4 + 8*l**2 + 5*l. Let j(t) be the first derivative of g(t). Find the second derivative of j(a) wrt a.
-50
Let r(s) = 0*s - s**2 + 5*s - 2*s - 3 + 7*s**3. Let n(h) = -7*h**3 - 4*h + 4. Let j(v) = -3*n(v) - 4*r(v). What is the third derivative of j(z) wrt z?
-42
Let y(o) = o**2 + o - 1. Let c(x) = -25*x**3 + 9*x**3 + 10*x + 20*x**3 + 4*x**2 - 10. Let n(p) = 2*c(p) - 20*y(p). Find the third derivative of n(f) wrt f.
48
Let r(b) = -35*b**2 - 102*b + 34. Let l(o) = -106*o**2 - 307*o + 96. Let w(v) = -6*l(v) + 17*r(v). Find the second derivative of w(f) wrt f.
82
Let z(x) = -35*x**3 + 11*x + 16. Let o(n) = 12*n**3 - 4*n - 5. Suppose -6*m + 74 = 8. Let d(i) = m*o(i) + 4*z(i). Find the first derivative of d(k) wrt k.
-24*k**2
What is the second derivative of -61300*g + 5*g**2 + 61331*g + 10*g**2 wrt g?
30
Let m = -12/13 - -253/260. Let r(f) be the second derivative of 0 + m*f**5 + 0*f**2 + 0*f**4 + 4*f + f**3. What is the second derivative of r(b) wrt b?
6*b
Let t(u) = -39*u**3 + 4. Let x(p) = 13*p**3 - 1. Suppose 8*m - 17 = 9*m. Let c(s) = m*x(s) - 6*t(s). Differentiate c(i) wrt i.
39*i**2
Let x(c) = c**2 + 1. Let d(h) = -16*h**2 - 1 - 3 + 3*h + 4*h**2 + 2. Let l(f) = -d(f) - 2*x(f). What is the second derivative of l(w) wrt w?
20
Let s(b) = -7*b**2 - 7*b + 1. Let i(d) = d**3 + 5*d**2 + 8*d - 1. Let q(x) = -4*i(x) - 5*s(x). Find the second derivative of q(g) wrt g.
-24*g + 30
Let y(l) = -l**3 - 7*l**2 + 9*l - 4. Let x be y(-8). Let d be (-510)/x - 2/(-4). Find the third derivative of -4*a**2 - 3*a**2 - d*a + 43*a - 5*a**4 wrt a.
-120*a
Let w(i) be the first derivative of -9*i**4/4 - 5*i**3/3 - 39*i**2 - i - 217. What is the second derivative of w(x) wrt x?
-54*x - 10
Let j(z) = z**2 + z + 4. Let x be j(0). Let s(d) be the first derivative of -x + 3 - 2*d**3 + 0 - 5*d. Find the first derivative of s(m) wrt m.
-12*m
Let w(o) = 5*o**4 + 5*o**3 + 4*o - 469. Let g(u) = -16*u**4 - 15*u**3 - 13*u + 1408. Let y(k) = 4*g(k) + 13*w(k). Differentiate y(d) with respect to d.
4*d**3 + 15*d**2
Let f(d) be the second derivative of -d**5/20 + 23*d**4/12 - 11*d**2 + 3*d + 6. Find the first derivative of f(v) wrt v.
-3*v**2 + 46*v
Let g(q) = q - 17. Let v be g(21). Find the second derivative of -6*k**v + 39 + 34 - 73 - 15*k wrt k.
-72*k**2
Let s be ((-1)/2)/((-5 - -4)/(-6)). Let w(g) = 20*g - 44. Let u(f) = 7*f - 15. Let v(r) = s*w(r) + 10*u(r). What is the derivative of v(b) wrt b?
10
Let v(z) be the second derivative of -4*z**7/21 + 5*z**3/2 + 2*z