s?
2
Let h(v) = -10*v**2 - 6*v + 9. Let i(r) = 9 - 23*r**2 - 5*r + 32*r**2 - 20*r**2. Let f(s) = -5*h(s) + 6*i(s). What is the derivative of f(o) wrt o?
-32*o
Let b(u) be the third derivative of -u**8/336 + 17*u**7/30 - 143*u**5/20 - 511*u**2. Find the third derivative of b(x) wrt x.
-60*x**2 + 2856*x
Let u(a) = -7*a**3 + 2*a**2 - 65*a + 9. Let p(h) = -3*h**3 + h**2 - 32*h + 4. Let g(j) = -9*p(j) + 4*u(j). Find the second derivative of g(v) wrt v.
-6*v - 2
Differentiate -21*y**2 - 6 - 2 - 46*y**3 + 21*y**2 wrt y.
-138*y**2
Let j = -7 + 22. Suppose -5*d + 5*p + 15 = 0, p = -4*d - 3 + j. Find the first derivative of 0*u**d + 11*u**3 - 4 - 2*u**3 wrt u.
27*u**2
Let p(i) = 2*i - 9. Let w be p(6). Let v be 2*((-2)/4 + w). What is the second derivative of -2*c + 2*c + 3*c**v + 4*c - 5*c wrt c?
60*c**3
What is the third derivative of 88*m**2 + 43*m**3 - 2*m**3 + 5*m**3 + 41*m**2 + 6*m**3 wrt m?
312
Let j(s) be the first derivative of -447*s**2 - 556*s - 212. Differentiate j(z) wrt z.
-894
Let d(c) be the second derivative of 19*c**7/840 + 2*c**6/45 - c**3/6 - 9*c. Let t(q) be the second derivative of d(q). Find the third derivative of t(o) wrt o.
114
Let f(d) be the second derivative of d**4/4 - 5*d**3/6 - 41*d**2/2 + 17*d. Find the first derivative of f(z) wrt z.
6*z - 5
Let z(g) = -204*g + 226. Let c(y) = 306*y - 339. Let h(p) = -5*c(p) - 8*z(p). What is the first derivative of h(d) wrt d?
102
Let o = -7 + 10. Suppose -o*z + 1 = 2*c - 14, -3*c = -5*z - 32. What is the second derivative of 13 + 2*v - 5*v**2 - c - 4 wrt v?
-10
Let d = 20 - 15. Suppose 0 = -a + d*a - 8. Find the third derivative of -a*f**2 - 24*f**6 - 4*f**2 + 20*f**6 wrt f.
-480*f**3
Let g(x) = x**3 + x. Let s(b) = 88*b**3 - 232*b**2 - 10*b. Let v(n) = 10*g(n) + s(n). What is the third derivative of v(z) wrt z?
588
Let n(x) = 9*x**4 - 33*x**3 - 15*x**2 + 33*x + 2058. Let s(r) = -r**4 + 4*r**3 + 2*r**2 - 4*r - 257. Let u(d) = 4*n(d) + 33*s(d). Differentiate u(a) wrt a.
12*a**3 + 12*a
Suppose -5*d = -40 - 50. Suppose d = -x + 4*x. What is the derivative of -4*a + x + 14*a - 1 + 2 wrt a?
10
Let c(v) be the third derivative of -v**6/5 + 5*v**4/12 + v**3/6 + 47*v**2. Find the second derivative of c(x) wrt x.
-144*x
Suppose -11*m - 2 + 57 = 0. What is the third derivative of -m + 6 + 15*y**2 - 11*y**6 - 1 wrt y?
-1320*y**3
Let c(s) = -10*s**4 - 6*s**2 + 6*s + 19. Let b(p) = 7*p**4 + 5*p**2 - 5*p - 20. Let a(f) = 6*b(f) + 5*c(f). What is the first derivative of a(w) wrt w?
-32*w**3
Let r(x) be the third derivative of 0*x**5 - 8*x**2 + 0 + 5/3*x**3 + 13/210*x**7 + 0*x + 0*x**4 + 0*x**6. Find the first derivative of r(h) wrt h.
52*h**3
Let v(j) = 208*j - 428. Let x(i) = 312*i - 648. Let h(l) = -7*v(l) + 5*x(l). What is the first derivative of h(a) wrt a?
104
Differentiate 104*q - 47*q**2 + 50 + 16*q**3 - 104*q + 51*q**2 with respect to q.
48*q**2 + 8*q
Let n = -9 - -13. Let g = 5 + -3. Differentiate 21*y**g - 5 - 21*y**2 + y**n wrt y.
4*y**3
Suppose 2*x + 2 = 3*x. Suppose -x*d = -6 - 4. Differentiate 2 - d*t + 3*t**2 + 5*t with respect to t.
6*t
Let k(h) = 9*h**2 - 2*h. Suppose 0 = -2*s - 4*x - 12, -4*s + 0*s = 5*x + 12. Let a be k(s). What is the second derivative of -5*c + 4*c**4 - 32 + a wrt c?
48*c**2
Let t(q) = -74*q + 418. Let d(m) = 74*m - 424. Let s(l) = -4*d(l) - 5*t(l). What is the derivative of s(v) wrt v?
74
Let d(j) be the third derivative of 59*j**5/30 + 145*j**3/6 - 4*j**2 + 8. What is the derivative of d(o) wrt o?
236*o
Let q(p) be the third derivative of 0*p**5 + 1/3*p**4 + 1/14*p**7 + 0 + 0*p**3 + 22*p**2 + 0*p**6 + 0*p. Find the second derivative of q(f) wrt f.
180*f**2
Let j(m) = -m + 1. Let s be (-2)/6 + -5 + (-68)/(-6). Let r(a) = -5*a + 19. Let i(k) = s*j(k) - r(k). What is the derivative of i(t) wrt t?
-1
Let t(c) be the second derivative of 13*c**7/840 - c**5/40 - c**3/6 + 7*c. Let i(k) be the second derivative of t(k). Find the second derivative of i(x) wrt x.
78*x
Let u(g) be the third derivative of 5*g**6/8 + 2*g**5/5 + 50*g**2. What is the third derivative of u(f) wrt f?
450
Suppose 0*z = z. Suppose -2*g + 13 - 1 = z. Find the third derivative of 0*v**6 - 1 + 1 + 9*v**g - 8*v**2 wrt v.
1080*v**3
Let g be (-56)/(-10) - 12/(-30). Suppose -2*d = -5*z - 32, 2*d - 5 = 2*z + 15. Find the second derivative of 5*i + 0*i - 4*i + g*i + d*i**2 wrt i.
12
Differentiate -449 + 1124 - 115*i**2 - 125*i**2 wrt i.
-480*i
Suppose 4*f + 0 - 12 = 0. Let i(w) = w**3 - 2*w**2 - 2*w + 3. Let m be i(f). What is the third derivative of -8*g**2 + 4*g**m - 3*g**6 - 6*g**6 wrt g?
-600*g**3
Find the first derivative of -4*x**2 + 66 + 20*x**2 + 6*x - 5*x wrt x.
32*x + 1
Let u be (-3 + 5 + -3)/(-1). Let d be 5 + u - (4 - 1). What is the first derivative of -7*x - 5 - d*x + 0*x + 3*x wrt x?
-7
Let y(m) be the first derivative of 235*m**2/2 + 76*m + 122. Differentiate y(s) wrt s.
235
Suppose 44 = 5*i + 4*c, -5*c - 18 + 7 = -2*i. What is the first derivative of -23*m - 2*m - 34 + i wrt m?
-25
Suppose 5*y = 21 - 91. Let x = 17 + y. Differentiate -f**2 - 2 - 2 - x wrt f.
-2*f
Let g = -42 + 44. Let k(m) be the first derivative of g*m**2 + 0*m**4 - 3 + 0*m**3 + 0*m - 4/5*m**5. What is the second derivative of k(h) wrt h?
-48*h**2
Let v be (-1*2)/(-16 + 14). What is the derivative of v - 8*i**2 - 6*i**2 + 31 + 4*i**2 wrt i?
-20*i
Let j(y) = -18*y + 20. Let b(l) = 18*l - 19. Suppose 0 = 5*m + 1 + 24. Let n(x) = m*b(x) - 4*j(x). Differentiate n(g) wrt g.
-18
Suppose -2*p + 8 = 2*p. What is the first derivative of 1 - p + 4*z + 0 wrt z?
4
Let v(o) be the third derivative of o**6/120 + o**4/3 - 329*o**3/6 + 2*o**2 - 52*o. What is the first derivative of v(n) wrt n?
3*n**2 + 8
Let g be ((-8)/(-6))/(4/6). Let n(p) = -p**3 + p**2. Let o be n(-1). What is the third derivative of 0*k**6 - 3*k**2 - g*k**2 - k**o + k**6 wrt k?
120*k**3
Let w = -386 + 386. Let c(h) be the second derivative of 4/15*h**6 - 3*h + 0*h**5 + 0*h**3 + w + 0*h**2 - 1/2*h**4. Find the third derivative of c(u) wrt u.
192*u
Let x(l) be the second derivative of -l**7/21 - 32*l**3/3 + l**2/2 + 23*l - 3. Find the second derivative of x(q) wrt q.
-40*q**3
Suppose 0 = -7*j + 43 + 27. What is the second derivative of -22*b - 10 - j + 20 - 39*b**2 wrt b?
-78
Let r(h) = -134*h**3 - 6*h**2 - 6*h - 93. Let n(i) = -1875*i**3 - 85*i**2 - 85*i - 1300. Let v(l) = 6*n(l) - 85*r(l). Differentiate v(w) with respect to w.
420*w**2
Find the second derivative of 736*o**4 + 13 - o**3 - 367*o**4 - 2*o - 376*o**4 wrt o.
-84*o**2 - 6*o
Let q(h) be the third derivative of 0*h**5 + 0 - 23*h**2 + 0*h**3 - 1/60*h**6 + h**4 + 0*h. Find the second derivative of q(s) wrt s.
-12*s
Suppose 13 + 59 = 4*i. Suppose -5*b - 5*v = 0, 3*b - v - 2*v = i. What is the third derivative of 11*o**2 - 7*o**4 + 93*o**3 - 93*o**b wrt o?
-168*o
Suppose -4*s = -5*s + 1. Suppose -s = -2*u + 7. Find the second derivative of 0*l**4 + 3*l**u - 3*l + l**4 wrt l.
48*l**2
Let k = -23 + 29. What is the third derivative of -h**2 + h**6 + 13*h**2 + 3*h**k - 5*h**6 wrt h?
-120*h**3
Let w(x) = 10*x. Suppose -4*c + 5 = -n + 25, 2*n + 4*c = -8. Let h be w(n). What is the second derivative of 2*f**3 + 3 - h*f + 43*f - 3 wrt f?
12*f
Let c(r) be the third derivative of -191*r**8/336 + 4*r**5/15 + 5*r**3/6 + 2*r**2 + 93. What is the third derivative of c(i) wrt i?
-11460*i**2
Let u(l) be the second derivative of l**5/5 + 5*l**4/12 + 5*l**2 - 4*l. Let f(s) be the first derivative of u(s). What is the second derivative of f(a) wrt a?
24
Differentiate -47*s + 41*s**2 + 46*s + 1 - 12 wrt s.
82*s - 1
Let i(l) be the first derivative of 1/2*l**2 + 35 + 0*l**5 + 0*l**4 + 0*l + 46/7*l**7 + 0*l**6 + 10/3*l**3. Find the third derivative of i(m) wrt m.
5520*m**3
Let t(f) = -6*f - 2*f**2 + 19*f + 3*f**2 + 16. Let r be t(-12). What is the third derivative of -n**2 - 11*n**r + 11*n**4 + 7*n**4 + 10*n**2 wrt n?
168*n
Let p(l) = -116*l + 14. Let v(o) = -115*o + 13. Let a(y) = 7*p(y) - 6*v(y). Find the first derivative of a(m) wrt m.
-122
What is the third derivative of 22*i**6 - 12*i**2 - 3*i**6 + 2*i**3 + 7*i**2 + 9*i**2 wrt i?
2280*i**3 + 12
Let o(q) be the first derivative of 0*q - 16 + 23/6*q**6 + 0*q**2 + 0*q**5 + 0*q**4 - 11/3*q**3. Find the third derivative of o(m) wrt m.
1380*m**2
Suppose r + 3*r = 40. Suppose -4