 2*i**2 wrt i.
-840*i**3
What is the third derivative of 517*w**2 + 13*w**4 - 90*w**2 - 6*w**3 - 76*w**2 wrt w?
312*w - 36
Suppose 5*x + 7 = -2*p, 5*p + 5*x = 7 + 13. Find the second derivative of -12*v**4 - p*v**4 + 6*v + v**4 + 16*v wrt v.
-240*v**2
What is the third derivative of -16*q**2 + 35*q**2 + 62*q**3 + q**4 + 6*q**3 - 2*q**4 - 3 wrt q?
-24*q + 408
Suppose 6 = -4*l + 6*l. Find the third derivative of -17*f**2 + 13*f**6 + l*f**2 + 0*f**2 wrt f.
1560*f**3
Let c(t) be the second derivative of -t**6/30 - 5*t**4/3 - 19*t**3/6 - 39*t. What is the second derivative of c(w) wrt w?
-12*w**2 - 40
Let x(f) be the third derivative of 3*f**5/10 - 109*f**4/12 + f**3/3 - 102*f**2. Find the second derivative of x(g) wrt g.
36
Let s(l) = 18*l - 14. Let j(m) = -m. Let r(b) = -5*j(b) - s(b). Let a(p) = 14*p - 13. Let t(g) = -3*a(g) - 4*r(g). Differentiate t(z) wrt z.
10
Let g(q) = -q**2 - 22*q + 2. Let s be g(-22). What is the third derivative of -2*k**5 - 4*k**2 + 30*k**s + 5*k**5 wrt k?
180*k**2
Let g(l) be the third derivative of 0 + 0*l**4 + 0*l**6 - 17*l**2 - 1/2*l**3 + 0*l**5 + 0*l + 1/105*l**7. Find the first derivative of g(z) wrt z.
8*z**3
Let o(v) = 6*v**3 - v + 2*v**2 + 8811 - 8811. Let j(m) = m**2. Let b = 0 - -2. Let s(c) = b*j(c) - o(c). What is the second derivative of s(y) wrt y?
-36*y
Let w(j) = -11*j**4 + 72*j**2 - j - 42. Let s(p) = -30*p**4 + 215*p**2 - 2*p - 125. Let d(b) = -3*s(b) + 8*w(b). Find the second derivative of d(f) wrt f.
24*f**2 - 138
Let i = -15 - -20. What is the first derivative of 12 + 20*p - 5 - i*p wrt p?
15
Let h = 30 + -24. Let r(p) = -9*p**2 + 13*p + 22. Let y(m) = -5*m**2 + 6*m + 11. Let j(u) = h*r(u) - 13*y(u). What is the derivative of j(n) wrt n?
22*n
Let b(y) be the third derivative of y**8/168 - 23*y**6/120 - 3*y**5/10 - 24*y**2. Find the third derivative of b(u) wrt u.
120*u**2 - 138
Let w(d) be the second derivative of 89*d**5/20 - 11*d**4 - d**3/6 + 40*d + 1. What is the third derivative of w(g) wrt g?
534
Let q = 65 + -63. What is the third derivative of 47*p**4 - 46*p**4 + 22*p**4 + 30*p**q wrt p?
552*p
Let g(f) = 47*f**2 - 24. Let h(d) = 330*d**2 - 168. Let c(b) = 15*g(b) - 2*h(b). What is the derivative of c(w) wrt w?
90*w
Let p be 29394/10 - 3/(-5). Find the second derivative of -30*a - p*a**4 - 15*a + 2935*a**4 wrt a.
-60*a**2
Let q(m) be the first derivative of -12*m + 0*m**2 - 46 + 0*m**3 - 33/4*m**4. Differentiate q(h) wrt h.
-99*h**2
Let h(a) = -7*a - 14. Let b(n) = -6*n - 15. Let w be 36/(-21)*21/(-6). Let f = -114 + 107. Let y(q) = f*h(q) + w*b(q). Find the first derivative of y(r) wrt r.
13
Differentiate -14*b**2 - 15 - 6*b**2 - 12*b**2 + 65*b**3 + 30*b**2 wrt b.
195*b**2 - 4*b
Let k(h) = -21*h**2 - 15*h. Suppose -45 = 2*a - 13. Let p = a + 28. Let x(o) = o**2 + o. Let m(q) = p*x(q) + k(q). What is the second derivative of m(n) wrt n?
-18
Let z(s) be the second derivative of 193*s**8/28 - s**4/12 - 31*s**2 - 240*s. What is the third derivative of z(x) wrt x?
46320*x**3
Let a(t) be the third derivative of 101*t**5/60 - 107*t**4/24 - 69*t**2. Find the second derivative of a(k) wrt k.
202
Let c(w) be the third derivative of -321*w**7/70 - 157*w**5/12 - 417*w**2 - 2*w. Find the third derivative of c(a) wrt a.
-23112*a
Let h(i) be the third derivative of -5*i**9/252 + i**6/60 - 6*i**5/5 + i**4/24 - 53*i**2. What is the third derivative of h(x) wrt x?
-1200*x**3 + 12
Find the third derivative of -3*k**2 - 29*k**2 + 16*k**2 - 2*k + 78*k**3 wrt k.
468
Let r(v) be the third derivative of -11*v**5/30 + v**4/4 + 61*v**3 - 3*v**2 - 34. Differentiate r(g) with respect to g.
-44*g + 6
Let d(c) be the third derivative of c**9/252 - 131*c**6/120 + c**5/20 - c**3/3 - 155*c**2. Find the third derivative of d(v) wrt v.
240*v**3 - 786
Let l(f) be the second derivative of 3*f**8/14 + f**4 - f**3/6 - 116*f. What is the third derivative of l(a) wrt a?
1440*a**3
Suppose -2*c + 26 = -4*c. Let u be (-16)/4 - (c + 2). What is the second derivative of -4*t - 10*t**4 + 13*t**4 - u*t wrt t?
36*t**2
Suppose -4*a + 66 = -4*d + 2*d, 3*a = 2*d + 52. What is the third derivative of -12*n**3 + 7*n**3 - a*n**3 + 9*n**2 + 4*n**2 wrt n?
-114
Let f = 97 - 95. Let y(r) = 23*r**3 - 22*r**2 - 2. Let c(p) = -93*p**3 + 88*p**2 + 9. Let b(m) = f*c(m) + 9*y(m). Find the third derivative of b(o) wrt o.
126
Let s(f) be the third derivative of f**5/15 + 23*f**4/24 + f**3/3 - 16*f**2 - 3. What is the second derivative of s(r) wrt r?
8
Let x(k) be the third derivative of 0*k + 0*k**4 - 47*k**2 + 0 + 7/6*k**3 - 11/20*k**5. What is the first derivative of x(z) wrt z?
-66*z
Let w = -3 - -7. Suppose -2*i - 3*j + 19 + 4 = 0, -2*j = 2*i - 18. Differentiate -w*y + 2*y**3 - i - 5*y**3 + 4*y wrt y.
-9*y**2
Find the third derivative of 25*k**2 - 2*k + 177*k**6 + 0*k + 2*k**3 - 184*k**6 + 2*k**2 wrt k.
-840*k**3 + 12
What is the second derivative of 266*z - 100*z - 21 + 370*z**2 + 12 + 9 wrt z?
740
Let f(q) be the third derivative of 0*q - 4/3*q**3 + 28*q**2 + 31/24*q**4 + 0. Differentiate f(m) wrt m.
31
Let m(r) be the third derivative of -123*r**7/70 + r**4/24 + 685*r**3/6 - 8*r**2 - 18*r. Differentiate m(y) wrt y.
-1476*y**3 + 1
Let b be (-72)/(-48)*4/3. Let r(a) be the first derivative of 4*a**3 + 0*a + 0*a**b - 9/4*a**4 - 8. Find the third derivative of r(z) wrt z.
-54
Differentiate 8*u**3 + 0 + 77*u**3 - 13 + 68 with respect to u.
255*u**2
Let g(t) = -141*t**4 - 2*t**2 - 41*t - 3. Let d(y) = y**2 - y + 2. Let h(j) = -2*d(j) - g(j). Find the second derivative of h(k) wrt k.
1692*k**2
Let d(v) be the first derivative of -v**6/5 + 5*v**3/2 - 23*v**2/2 + 22. Let o(r) be the second derivative of d(r). Differentiate o(c) wrt c.
-72*c**2
Suppose -38*w = -29*w. Let q(a) be the second derivative of 0*a**3 + w*a**4 + 0*a**5 + 2*a + 3/10*a**6 + 0 + 3*a**2. Find the first derivative of q(d) wrt d.
36*d**3
Let p(h) = -10*h**2 - 3*h. Let g(z) = 30*z**2 + 8*z - 1. Let n = 25 - 17. Let x(c) = n*p(c) + 3*g(c). What is the derivative of x(s) wrt s?
20*s
What is the first derivative of 167 + 410*p**2 - 607*p**2 + p + 298*p**2 wrt p?
202*p + 1
Let u be 0 + 12/(-16) + (-345)/(-12). Find the third derivative of u*w**2 + 12*w**3 + 8*w**5 + 0*w**3 - 10*w**3 wrt w.
480*w**2 + 12
Let p(v) = 313*v - 58. Let j(o) = 315*o - 59. Let g(q) = -7*j(q) + 6*p(q). What is the derivative of g(u) wrt u?
-327
Suppose -2*o + 2 + 12 = 0. Let t = -5 + o. What is the derivative of -3 + t*c - 4 + 5 wrt c?
2
Let r(d) be the third derivative of 26*d**2 + 0*d**3 - 7/12*d**4 + 0 + 0*d**6 + 1/24*d**8 + 0*d**5 + 0*d + 0*d**7. Find the second derivative of r(w) wrt w.
280*w**3
Let s(o) be the second derivative of 0*o**3 + 0*o**2 + 0*o**5 - 12*o - 5/6*o**7 - 5/12*o**4 + 0*o**6 + 0. Find the third derivative of s(p) wrt p.
-2100*p**2
Suppose -3*q = -0*q - 72. What is the second derivative of -4235 + b**4 - q*b + 4235 wrt b?
12*b**2
Let g(u) be the second derivative of 4*u**5/5 + u**4/6 - 20*u**3/3 - u**2/2 - 79*u. What is the second derivative of g(f) wrt f?
96*f + 4
Let t(a) = 2 - 4 - 6 + 7. Let w(d) = 3*d**2 - 6*d - 7. Let s(p) = -14*t(p) + 2*w(p). What is the second derivative of s(o) wrt o?
12
Let k(n) be the first derivative of -n**7/30 - n**4/6 + n**2 - 10. Let b(r) be the second derivative of k(r). What is the second derivative of b(u) wrt u?
-84*u**2
Find the second derivative of -1551 + 4*u**2 + 1557 - 4*u**2 + 2*u + 138*u**5 wrt u.
2760*u**3
Let x(m) = -29*m**3 + 14*m**2 + 29*m - 13. Let l(p) = 46*p**3 - 21*p**2 - 44*p + 20. Let w(z) = -5*l(z) - 8*x(z). What is the second derivative of w(n) wrt n?
12*n - 14
Let q be 1 + -2 + 8 + 1. Let s be 53/4 + (-2)/q. Find the second derivative of -t**3 - s*t + 4*t + 4*t wrt t.
-6*t
Let l(t) be the second derivative of 25*t**3/2 - 85*t**2/2 - 2*t + 9. What is the derivative of l(k) wrt k?
75
Let z(x) = 9*x**4 - 12*x**3 + 12. Let m(y) = 2*y**3 + 1 - y - 2*y**3 + y**4 - y**3. Let n(c) = 12*m(c) - z(c). Find the second derivative of n(q) wrt q.
36*q**2
Differentiate -193*s + 93*s + 192 - 34*s + 27 - 130*s wrt s.
-264
Let k(g) = -794*g**3 - 6*g**2 - 3*g + 350. Let d(a) = -2382*a**3 - 20*a**2 - 10*a + 1050. Let i(n) = 3*d(n) - 10*k(n). Differentiate i(u) with respect to u.
2382*u**2
Let j(x) be the second derivative of 143*x**4/6 + 24*x**2 + 82*x. Fin