econd derivative of p(w) wrt w.
-12
Let r(p) = -5*p - 21. Let v(x) = x + 5. Let c(q) = q + 6. Let j(h) = 4*c(h) - 5*v(h). Let w(g) = 3*j(g) - r(g). Find the first derivative of w(s) wrt s.
2
What is the third derivative of 49*o**5 + 29*o**2 - 4*o**5 + 55*o**5 wrt o?
6000*o**2
Let u(w) be the third derivative of 0*w**4 - 11/6*w**3 + 0*w**5 + 0*w - 21*w**2 + 23/120*w**6 + 0. What is the first derivative of u(j) wrt j?
69*j**2
Let s(a) be the first derivative of 329*a**4/4 - 131*a**3/3 + 2*a - 360. Find the third derivative of s(z) wrt z.
1974
Let p(y) be the first derivative of -y**7/70 - 7*y**3/3 + 9*y**2/2 - 8. Let x(h) be the second derivative of p(h). What is the first derivative of x(k) wrt k?
-12*k**3
Let k(c) = -c**3 - c**2 + 1. Let d(r) = -13*r**5 + 2*r**3 + 56*r**2 - 2. Let l(g) = -d(g) - 2*k(g). What is the third derivative of l(z) wrt z?
780*z**2
Let i(u) = -u**3 - 11*u**2 + 11*u + 3. Let f be i(-12). What is the third derivative of -10 + f + 11*h**2 - 12*h**3 - 5 wrt h?
-72
Let p(j) = -j + 53. Let z be p(17). Differentiate -2 + 47 - 7*m**2 + 5*m**2 + z*m + 4*m**2 wrt m.
4*m + 36
Let g(u) be the first derivative of -3 + 2*u**5 + 0*u**2 + 0*u**4 + 0*u + 4/3*u**3. What is the third derivative of g(a) wrt a?
240*a
Let z(g) be the first derivative of g**3/3 - g**2 - 10*g + 6. Let b be z(7). What is the second derivative of b*l - 3*l**3 - 21*l + l**3 wrt l?
-12*l
Let q be 1*(-2 - -1)*-2. What is the second derivative of -45 + 15*r + 3*r**q + 45 wrt r?
6
Let t = 0 - -5. Suppose l + l + 24 = t*q, 4*q + 3*l - 33 = 0. Let b(o) = 3*o + 11. Let z(m) = -6*m - 21. Let j(c) = q*z(c) + 11*b(c). Differentiate j(p) wrt p.
-3
Let t(s) be the first derivative of 36 - 27/4*s**4 + 15*s + 0*s**3 + 0*s**2. What is the first derivative of t(o) wrt o?
-81*o**2
What is the derivative of 255*h**2 + 32 - 164 - 57 wrt h?
510*h
Let q(f) = -26*f**3 - 7*f - 3*f**2 + 1 + 14*f**3 - 1 + 3. Let a(s) = -s**3 - s**2 + s + 1. Let r(x) = -3*a(x) + q(x). Find the second derivative of r(m) wrt m.
-54*m
Find the third derivative of 174*f**4 + 61*f**2 - 590088 + 590088 wrt f.
4176*f
Let u be (3/(-6))/1*2. Let c(w) = -2*w. Let v be c(u). What is the second derivative of 2*z - 2*z - v*z + 3*z**2 wrt z?
6
Let o(s) be the second derivative of -2/3*s**6 + 0*s**3 - 9*s**2 + 7*s + 0 + 0*s**4 + 0*s**5. Differentiate o(z) with respect to z.
-80*z**3
Let t = 1223/2 + -611. Let b(i) be the second derivative of t*i**3 - 7*i + 0 - 5/12*i**4 + 0*i**2. Find the second derivative of b(o) wrt o.
-10
Let d be (22/(-3))/(6/9). Let t = 14 + d. What is the derivative of u**3 - 1 + u**3 + 2*u**t + 4*u**3 wrt u?
24*u**2
Suppose -6*a + 3*a = 0. Suppose a = 8*o - 12*o + 8. Find the second derivative of 2*j**3 + j - 4*j**3 - o*j wrt j.
-12*j
Let i(r) be the second derivative of -19/30*r**6 + 0*r**4 - 2*r + 0 + 0*r**2 + 0*r**5 - 5/2*r**3. Find the second derivative of i(y) wrt y.
-228*y**2
Suppose c - 44 = -41. What is the second derivative of -2*h**3 + 7*h**c + 46*h - 81*h wrt h?
30*h
Suppose 9*g - 2 = 8*g. Find the third derivative of -10*o**2 + 33*o**3 - 13*o**2 + 9*o**g wrt o.
198
What is the second derivative of 7*m**2 + 44*m**2 - 2939*m + 2807*m wrt m?
102
Let m(q) be the first derivative of -q**3/3 - 85*q**2/2 + 2*q - 82. Differentiate m(u) with respect to u.
-2*u - 85
Let f(b) be the second derivative of 0 + 5/2*b**2 + 5/3*b**3 - 21*b. What is the first derivative of f(v) wrt v?
10
Suppose 0 = -5*v + 5, -5*v + 10 = -0*n + n. Let w = -13 - -17. Find the second derivative of c**5 + 0*c**4 + n*c + 6*c**5 + 0*c**w wrt c.
140*c**3
Let j(c) = c**2 + 10*c - 14. Let d be j(-12). Suppose -12*i = -7*i - d. What is the third derivative of 0*v**2 - 2*v**5 - 6*v**i + 9*v**2 wrt v?
-120*v**2
Suppose 8*y = 116 + 108. Differentiate 70 + 6 - y - 30*b wrt b.
-30
Let o(r) = -r**2 + r - 1. Let h(j) = 4*j**2 - 18*j + 13. Let g(t) = -h(t) - 3*o(t). Let s be g(14). Find the first derivative of 1 - s + 7*d**2 - 7 wrt d.
14*d
Suppose -4*h + 24 = -2*h. What is the second derivative of 4*q**2 - 6*q**2 + h*q - 6*q wrt q?
-4
Let l(k) = -k**2 - 5*k + 1. Let d be (-46)/12 + 1/(-6). Let v be l(d). Find the third derivative of 4*y**5 - 6*y**v + 0*y**4 - 3*y**2 + 0*y**4 wrt y.
-120*y**2
Find the second derivative of 3503*r**2 + 459*r - 3503*r**2 - 118*r**5 wrt r.
-2360*r**3
Let g(x) = -27*x**6 - 10*x**2 - 2*x. Let v(c) = -c**6 - c. Let p(w) = -g(w) + 4*v(w). Find the third derivative of p(u) wrt u.
2760*u**3
Let s(v) = v**2 + 11*v - 210. Let y be s(-21). Let j(m) be the first derivative of 0*m**4 + y*m**2 + m + 8/5*m**5 - 5 + 0*m**3. Differentiate j(z) wrt z.
32*z**3
Let k(j) be the second derivative of -701*j**7/42 + 98*j**3 + 685*j. What is the second derivative of k(a) wrt a?
-14020*a**3
Let b(g) be the first derivative of 134*g**5/5 - 12*g - 127. What is the derivative of b(j) wrt j?
536*j**3
Suppose -15 = -5*o + v, 2*o = -v - 2*v + 6. Let b be 4 + -1 + 7 - o. Find the third derivative of n**2 + 3*n**6 + 0*n**2 - b*n**6 wrt n.
-480*n**3
Let r(h) = -20*h**2 - 5. Let o(k) = -38*k**2 - 9. Let p(b) = -75*b**2 - 17. Let i(n) = -5*o(n) + 2*p(n). Let x(v) = -6*i(v) - 13*r(v). Differentiate x(g) wrt g.
40*g
Let w(y) be the first derivative of 19*y**3 + 67*y + 13. Differentiate w(l) with respect to l.
114*l
Let m(n) = 7*n**3 + 26*n**2 + 5*n - 29. Let w(t) = 6*t**3 + 25*t**2 + 4*t - 30. Let x(y) = 4*m(y) - 5*w(y). What is the derivative of x(k) wrt k?
-6*k**2 - 42*k
Let w(j) be the third derivative of -7/60*j**5 - 23/120*j**6 + 0*j**3 + 0*j + 1/24*j**4 - 28*j**2 + 0. Find the third derivative of w(u) wrt u.
-138
Let y(v) = -v**5 + v**4 + 1. Let r(t) = -3*t**6 - 3*t**5 + 3*t**4 + 5*t**3 + t**2 + 6*t + 3. Let c(b) = r(b) - 3*y(b). Find the third derivative of c(u) wrt u.
-360*u**3 + 30
Let h(a) be the third derivative of 0*a**4 + 0*a**5 + 0 + 0*a - 11/6*a**3 - 8*a**2 + 11/120*a**6. What is the first derivative of h(s) wrt s?
33*s**2
Find the second derivative of 10*t**4 + 1450*t - 12*t**2 - 196 + 12*t**2 - 1449*t - 6*t**5 wrt t.
-120*t**3 + 120*t**2
Let j(c) = 2*c**5 + 4*c**4 + 9*c**3 - 208*c. Let q(m) = 5*m**5 + 9*m**4 + 18*m**3 - 416*m. Let l(f) = 9*j(f) - 4*q(f). Find the second derivative of l(v) wrt v.
-40*v**3 + 54*v
What is the third derivative of -65*j**2 - 8*j + 5*j + 3*j + 61*j**3 wrt j?
366
Let y(f) = 14 - 17*f + 6 + 43*f - 7. Let r(p) = 78*p + 40. Let j(w) = 5*r(w) - 16*y(w). What is the first derivative of j(z) wrt z?
-26
Let x(g) be the third derivative of 0*g + 10*g**2 + 3/8*g**4 - 1/5*g**5 + 0 + 0*g**3. Find the second derivative of x(m) wrt m.
-24
Let h(f) = 561*f**3 + 51*f**2 - 359. Let m(w) = -70*w**3 - 6*w**2 + 45. Let z(r) = 6*h(r) + 51*m(r). Differentiate z(b) with respect to b.
-612*b**2
Let a(m) = m. Let x be a(2). Suppose r - 4 = -u, 2*u + x*r - 18 = 5*r. Find the third derivative of 0*k**2 - 3*k**2 - 3*k**6 + u*k**2 wrt k.
-360*k**3
Let f(w) be the third derivative of -31*w**5/20 - 11*w**4/24 + 2*w**3/3 + 10*w**2 - 1. Find the second derivative of f(h) wrt h.
-186
Let r(u) = 173*u**3 - 3*u**2 - 3*u - 98. Let h(j) = 347*j**3 - 5*j**2 - 5*j - 195. Let x(b) = 3*h(b) - 5*r(b). Differentiate x(s) with respect to s.
528*s**2
Let b(u) be the second derivative of 7*u**5/4 + u**4/3 - 49*u**2/2 + 56*u. What is the first derivative of b(v) wrt v?
105*v**2 + 8*v
Find the second derivative of -13*w**3 - 11*w**3 + 47*w - 65*w**2 - 8*w**3 + 1 + 34*w**3 wrt w.
12*w - 130
Suppose 10 = c - 4*t, 2*c + 10 = 4*t + 22. Let o(w) be the second derivative of 0*w**3 + 0 + 1/12*w**4 + 9/2*w**c - 8*w. What is the derivative of o(g) wrt g?
2*g
Suppose 42 = -3*x + 105. Let s = x + -21. Find the second derivative of 109*p**5 + 2*p + s*p - 113*p**5 wrt p.
-80*p**3
Let w = -6 - -15. Suppose w = 4*t - 11. What is the third derivative of 10*q**t + 3*q**3 - 3*q**3 - 3*q**5 + 6*q**2 wrt q?
420*q**2
Let h = -8 - -10. Suppose 0 = -3*l + 6, h*f + 4*l - 9 = 11. What is the third derivative of -3*v**2 + 6*v**6 + 2*v**2 - v**f wrt v?
600*v**3
Let b(u) = u**2 - 2*u - 5. Let y be b(-2). Suppose y*m - 3*j = 2*m + 5, 5*m - 5*j = 25. Find the second derivative of -32*p**m + 3*p + 22*p**5 + 7*p wrt p.
-200*p**3
Suppose 5*k + 4 = -x + 10, 5*k - 30 = 5*x. Suppose k*q - 11 = 1. What is the third derivative of g**2 - 5*g**6 + 0*g**6 - g**6 - 5*g**q wrt g?
-13