*b
Let c(p) = -p**3 - 8*p**2 - 15*p - 8. Let m be c(-6). Suppose -2*g = 3*g - m. What is the second derivative of 0*h + 4*h**4 + g*h - h + 2*h wrt h?
48*h**2
What is the second derivative of 296*w + 0 - 234*w**2 - 1 - 285*w wrt w?
-468
What is the second derivative of -4*w - 4*w**5 - 26*w + 15*w + 3*w**2 + 2 - 12*w**5 wrt w?
-320*w**3 + 6
Let p(n) = 558*n + 19*n**2 - 3 - n**2 - 562*n. Let c(z) = -18*z**2 + 5*z + 2. Let r(l) = -4*c(l) - 5*p(l). Differentiate r(f) wrt f.
-36*f
Let w(d) be the first derivative of 37*d**4/4 + d**3 - 688*d - 416. Differentiate w(i) with respect to i.
111*i**2 + 6*i
Suppose -8*h = -24 - 80. Find the second derivative of 0*r + 13*r**3 - h*r + 0*r**3 - 7*r wrt r.
78*r
Let t(h) = 3*h**2 + 4*h - 15. Let c(x) = 12*x**2 + 13*x + 2*x + 106 - 166. Let j(n) = -4*c(n) + 15*t(n). Differentiate j(o) wrt o.
-6*o
Find the third derivative of -37*k**3 + 8*k**4 + 7*k**2 - 34*k**3 + 73*k**3 + 3*k**2 wrt k.
192*k + 12
Let y(f) be the third derivative of f**8/20160 + f**6/90 + f**5/15 - 30*f**2. Let l(u) be the third derivative of y(u). Find the first derivative of l(d) wrt d.
2*d
Differentiate -8 + 7 + 37 - 72*b**2 wrt b.
-144*b
Let d be 1/(-3) - 574/42. Let h = d - -20. Differentiate -h*c**4 + 25 - 33 - 6*c**4 with respect to c.
-48*c**3
Let y(p) be the second derivative of -9*p**8/14 + p**4/12 + p**2/2 + 3*p - 6. What is the third derivative of y(j) wrt j?
-4320*j**3
Suppose -3*u + 13 = 4*o, -u - 5*o - 17 = -2*u. Differentiate -191*m**2 - u - 4 + 179*m**2 wrt m.
-24*m
What is the third derivative of 14*f**2 - f**2 - 75*f**5 + 32*f**5 + 59*f**2 wrt f?
-2580*f**2
Suppose -5*z + 4 = 19. Let w be 9/z*3/(-3). What is the third derivative of 119*d**4 + 7*d**2 - w*d**5 - 119*d**4 wrt d?
-180*d**2
What is the second derivative of -32*p**5 - 219*p - 441*p + 817*p**5 + 68*p wrt p?
15700*p**3
What is the third derivative of -28 - 2*m**2 + 2*m**4 + 13*m**3 + 34 - 23 wrt m?
48*m + 78
Let x be (-4)/(-6)*-12*2/(-4). Let u(p) = p**2 + 6*p + 2. Let g be u(-6). What is the derivative of 0*z**2 + z - z + 11*z**g - x wrt z?
22*z
What is the second derivative of -54*h - 6*h**3 + 4*h**3 + 33*h - 32*h**4 wrt h?
-384*h**2 - 12*h
Let x(k) be the third derivative of 0*k**6 + 0*k**5 - 13/210*k**7 + 0*k**3 + 0 - 11*k**2 - 1/12*k**4 + 0*k. Find the second derivative of x(h) wrt h.
-156*h**2
Let u(y) be the third derivative of 0*y**5 - 1/168*y**8 - 17/24*y**4 - 6*y**2 + 0*y**7 + 0*y**6 + 0*y + 0 + 0*y**3. What is the second derivative of u(f) wrt f?
-40*f**3
Let w(t) = -3627*t + 3782. Let n(o) = 93*o - 97. Let k(g) = -155*n(g) - 4*w(g). What is the derivative of k(m) wrt m?
93
Suppose 4*l = 7*l - 9. What is the first derivative of -8*g**2 + 7 - l*g**2 + g**2 wrt g?
-20*g
Let f(y) be the third derivative of -43*y**7/210 - 18*y**3 + 32*y**2 + 2. What is the first derivative of f(p) wrt p?
-172*p**3
Suppose -4*n = -n - 9. Let l = 6 - n. What is the third derivative of 6*f**2 - l*f**2 - f**2 + 3*f**4 wrt f?
72*f
Let y(l) be the third derivative of -l**7/2520 + l**5/30 + l**4/24 - 5*l**2. Let i(h) be the second derivative of y(h). What is the derivative of i(c) wrt c?
-2*c
What is the first derivative of 529*i**4 + 36888*i**3 + 5*i - 5*i - 307 - 36888*i**3 wrt i?
2116*i**3
Let y(h) = 18*h**2 - 13*h + 30. Let u(q) = 6*q**2 - 4*q + 10. Let v(x) = -11*u(x) + 4*y(x). Let j(s) be the first derivative of v(s). Differentiate j(c) wrt c.
12
Let l(w) = 645*w**4 + 33*w**3 - 22*w + 2156. Let n(m) = -129*m**4 - 6*m**3 + 4*m - 431. Let y(x) = -2*l(x) - 11*n(x). What is the derivative of y(i) wrt i?
516*i**3
Let s be (-22)/((-5)/35*2). Differentiate -s*y**3 + 46*y**3 - 31 + 15*y**3 + 61*y**3 wrt y.
135*y**2
Suppose 0 = 7*w + 2*w - 36. What is the derivative of 3*r**2 + w*r**2 - 4 + 28 wrt r?
14*r
Suppose -46 = -5*u + 3*u - 5*z, 3*z = u - 12. Find the third derivative of u*l**3 - 5*l**2 - 18*l**3 - 9*l**6 wrt l.
-1080*l**3
Let r(i) be the first derivative of 0*i**4 - 2/7*i**7 + 0*i - 2/3*i**3 + 0*i**5 + 0*i**2 - 14 + 0*i**6. Find the third derivative of r(j) wrt j.
-240*j**3
Let q(w) = 4*w + 2. Let o be q(0). Find the third derivative of -9*v**5 + 17*v**o + 19*v**5 + 2*v**5 wrt v.
720*v**2
Let y(v) = v**2 + 8*v - 39. Let j be y(-12). Suppose -4 = -3*o + 11. Differentiate 4*h**2 + j*h**2 - 6*h**2 - o wrt h.
14*h
Suppose 8*f = 4*f + 636. Suppose 0*q + f = q. Find the third derivative of 160*v**4 - 4*v**2 - q*v**4 + 11*v**2 wrt v.
24*v
Let k(m) = 315*m**2 + 15*m + 1. Let r(j) = -944*j**2 - 47*j - 2. Let a(p) = -8*k(p) - 3*r(p). Find the second derivative of a(f) wrt f.
624
Let c(f) be the first derivative of -9*f**8/28 + 11*f**4/12 - 9*f + 1. Let v(x) be the first derivative of c(x). Find the third derivative of v(w) wrt w.
-2160*w**3
Let p(z) = 124*z**2 + 14*z - 7. Let q(f) = 123*f**2 + 13*f - 9. Let r(y) = -6*p(y) + 5*q(y). Find the second derivative of r(c) wrt c.
-258
What is the third derivative of 8*p**6 - 34*p**6 + 7*p**6 - 2*p**2 + 50*p - 15*p wrt p?
-2280*p**3
Let z(f) be the third derivative of -f**9/168 + f**7/30 - 71*f**5/30 + f**2 - 66*f. What is the third derivative of z(w) wrt w?
-360*w**3 + 168*w
Let w = 6 - -7. Find the first derivative of 2*f**2 - 11 - 11*f**2 - w + 10 wrt f.
-18*f
Let w(y) = -623*y - 117. Let p(x) = -622*x - 107. Let n(t) = 6*p(t) - 5*w(t). What is the first derivative of n(g) wrt g?
-617
Suppose 0 = -s - 0*s + 2. Find the third derivative of 2*p**6 + p**2 - p**6 + p**s + 5*p**2 wrt p.
120*p**3
Let v = -545 + 547. Let z(i) be the second derivative of 11/12*i**4 - 5*i**v + 0 + 9*i + 0*i**3. What is the derivative of z(k) wrt k?
22*k
Find the second derivative of -20104*h + 9362*h + 638*h**5 + 9884*h - 2*h**2 wrt h.
12760*h**3 - 4
Suppose 3 = -3*r + 18. Find the third derivative of -n**2 + 2*n**2 + 6*n**2 - 2*n**2 - 3*n**r wrt n.
-180*n**2
Let c(k) be the first derivative of 8*k**5/5 - k**4/4 + 145*k**3/3 - 94. Find the third derivative of c(y) wrt y.
192*y - 6
What is the first derivative of q**4 - 13*q**2 - 15*q - 70 + 5 + 15*q wrt q?
4*q**3 - 26*q
Let b(k) be the third derivative of 317*k**7/210 + k**5/60 + 29*k**3/6 - 62*k**2. What is the third derivative of b(j) wrt j?
7608*j
Let d be ((-1)/3)/(3/(-81)). Let l = d + -4. Differentiate l + 0*c**3 + 2*c**3 - 6*c**3 - 4 with respect to c.
-12*c**2
Let a(j) be the third derivative of j**6/24 - j**5/30 - 49*j**4/24 + 30*j**2 + 1. What is the second derivative of a(g) wrt g?
30*g - 4
What is the second derivative of 7*d**5 - 138 + 144 - 6*d**5 + 7*d**2 + 4*d wrt d?
20*d**3 + 14
Let q be (-3)/6 - 51/(-6). Find the first derivative of -6*i**2 - 1 + 5*i**2 - q wrt i.
-2*i
Let r(f) be the second derivative of -11*f**4/6 + f**3/3 + 15*f**2/2 - 77*f. Differentiate r(u) with respect to u.
-44*u + 2
Let a be (5 + 0)*(-96)/(-20). Let o = a - 0. Differentiate -5*z**4 + 0*z**4 + o - 16 with respect to z.
-20*z**3
Let g(p) be the second derivative of 0*p**4 - 2*p**3 - 16/15*p**6 + 0 + 27*p + 0*p**2 + 0*p**5. Find the second derivative of g(l) wrt l.
-384*l**2
Let t = 666 + -666. Let o(q) be the first derivative of t*q**5 + 0*q**3 + 0*q + 0*q**4 - 2/3*q**6 - 8 + 5/2*q**2. What is the second derivative of o(u) wrt u?
-80*u**3
Let v(f) = 2*f**2 - 9*f - 3. Let r be v(5). Let m be 5 + -4 + 6/r. What is the third derivative of 0 + 3*o**2 - 7*o**3 - m + 4 wrt o?
-42
Let w(n) = -13*n - 5*n**2 + 4 - n**2 + 4*n**2. Let t(p) = p**2 + 14*p - 5. Let z(b) = -4*t(b) - 5*w(b). What is the second derivative of z(d) wrt d?
12
Let s(a) be the third derivative of -a**7/120 + a**5/5 + 23*a**4/24 - 24*a**2. Let m(f) be the second derivative of s(f). Differentiate m(x) with respect to x.
-42*x
Let q = 23 - 22. Differentiate -1 + q + 5 + 8*k**2 + 10*k**2 with respect to k.
36*k
Let b(s) be the third derivative of s**8/168 - 17*s**7/105 - 211*s**5/60 - 44*s**2 + 2*s. What is the third derivative of b(i) wrt i?
120*i**2 - 816*i
Let w(o) = -o**2 + 1. Let g be w(4). Let s = g - -19. What is the second derivative of 2*a**s + 6*a**4 + 0*a**4 - 4*a + 3*a wrt a?
96*a**2
Suppose -2*b - 21 = -5*b. Suppose 0 = 2*j - 11 + b. What is the second derivative of -6*f**j + 36 - 36 - 2*f wrt f?
-12
Suppose -26 = l - 35. Let w = l + -4. Find the second derivative of -9*q**w + 21*q**3 - 21*q**3 + q - 3*q wrt q.
-180*q**3
Let x(h) be the third derivative