Let p(x) = -x - 1. Let f(o) = -i(o) - 4*p(o). What is the first derivative of f(y) wrt y?
-34*y + 2
Let y(l) be the second derivative of 3*l**8/7 + 11*l**6/30 + 59*l**4/6 + l**2 - 333*l + 2. What is the third derivative of y(i) wrt i?
2880*i**3 + 264*i
Let h = 43 + -40. Differentiate y**2 + 12 - 4*y**2 + h*y**2 + 5*y**2 with respect to y.
10*y
What is the second derivative of -10 + 3*w**3 + 236*w + 0*w**2 + w**2 - 233*w wrt w?
18*w + 2
Let f be 0/((11 + -5)/6). Suppose 4*r - 3*q = 14, -2*r = -3*q - 15 + 5. What is the first derivative of f*a - 2*a + r + 3 wrt a?
-2
Let d(x) = -x**3 + 2*x**2 + 3*x - 3. Let j be (-4)/6*(-2 - 1). Let u be d(j). What is the second derivative of -4*w - 31*w**u + w + 24*w**3 wrt w?
-42*w
Let o(t) = -7*t**2 - 3*t + 6. Let b(u) = -u. Suppose 3*y - 12 = -5*n, 2*y - 3*n + 12 = -y. Let j(m) = y*o(m) + 3*b(m). Differentiate j(x) with respect to x.
14*x
Let p(x) = -227*x**2 - 1220*x - 10. Let u(y) = -113*y**2 - 610*y - 6. Let k(j) = 3*p(j) - 5*u(j). What is the second derivative of k(r) wrt r?
-232
Let u(b) = 61*b**3 - 13*b**2 - 4*b - 42. Let c(h) = 61*h**3 - 11*h**2 - 5*h - 41. Let z(r) = 4*c(r) - 3*u(r). Find the second derivative of z(p) wrt p.
366*p - 10
Let l(y) be the first derivative of 11*y**6 + y**2 + 14*y - 107. What is the second derivative of l(m) wrt m?
1320*m**3
Suppose -6*i = -5*i + 4*k - 42, 3*k = 9. Differentiate -30 - 3*n**2 - n**2 + 4*n**2 - i*n**3 with respect to n.
-90*n**2
Let x(o) be the first derivative of -5/2*o**4 - 5 + 0*o + 0*o**2 - 4/3*o**3. What is the third derivative of x(y) wrt y?
-60
Let i(p) be the second derivative of 137*p**3/6 - 89*p**2/2 - 91*p. What is the first derivative of i(r) wrt r?
137
Let z(f) = f**2 - 3*f - 10. Let y be z(-4). Suppose u - 5*x = y, -5*u - 4*x = -u. Find the third derivative of 8*j**3 - 2*j**u - 10*j**2 - 9*j**3 wrt j.
-18
Let c(w) be the second derivative of -61*w**4/12 - 367*w**3/6 + 91*w. What is the second derivative of c(k) wrt k?
-122
Let k(v) = 75*v**2 + 7*v - 3. Let d(l) = 152*l**2 + 13*l - 7. Let i(r) = 3*d(r) - 7*k(r). Find the second derivative of i(m) wrt m.
-138
Suppose -5*i = -67 - 13. What is the second derivative of 6*c**2 + c - 2*c - i*c**2 wrt c?
-20
Let f be (4/1)/((-6)/15). Let n = f - -14. Find the second derivative of 11*x**4 - 2*x**4 - 4*x**4 + n*x - 3*x**4 wrt x.
24*x**2
Let p(y) be the third derivative of 4*y**3 + 0*y**4 + 11*y**2 + 0*y**5 + 0*y**6 + 0*y + 17/210*y**7 + 0. Find the first derivative of p(h) wrt h.
68*h**3
Let o(h) be the third derivative of -10*h**2 + 0*h + 0 - 2*h**3 + 1/8*h**4. What is the first derivative of o(t) wrt t?
3
What is the second derivative of l**3 - 4*l**3 - 8*l**3 - 3*l**2 - 152*l wrt l?
-66*l - 6
Let k be (2 - 3)/(-3) - (-13)/6. Let o(i) be the first derivative of 0*i - k*i**2 - 6 + 0*i**3 + 3/4*i**4. Find the second derivative of o(r) wrt r.
18*r
Let m be 18/15*10/4. What is the second derivative of 591 - 591 + 13*j - 6*j**m wrt j?
-36*j
Let d(f) be the first derivative of -31*f**5/60 - 11*f**3/3 + 13*f**2/2 + 13. Let l(n) be the second derivative of d(n). Differentiate l(y) with respect to y.
-62*y
Let d = 11 - 9. Suppose 4*w - 4*s = 16, -d*s = 3*w + 3*s - 12. What is the third derivative of 22*o**w - 2*o**2 - 22*o**4 + 2*o**6 wrt o?
240*o**3
Find the first derivative of 427*h**4 + 343*h**2 + 334*h**2 - 677*h**2 - 343 wrt h.
1708*h**3
Let a(p) be the first derivative of 2*p**2 + 10/3*p**3 - 8 + 0*p. What is the second derivative of a(k) wrt k?
20
Let c(g) = -9*g + 135. Let x be c(15). Let r(o) be the second derivative of 2/3*o**4 + 1/2*o**2 - 13*o + 0*o**3 + x. Find the first derivative of r(m) wrt m.
16*m
Suppose 0 = c - 10 - 5. Find the third derivative of -104*v**2 + 123*v**2 + v - c*v**4 - v wrt v.
-360*v
Let r(h) be the third derivative of -2*h**5/15 - 53*h**3/3 - 194*h**2. What is the derivative of r(p) wrt p?
-16*p
Let p(w) = 2. Let t(j) = 6*j + 1 - 3*j - 4*j + 2*j. Let z(n) = p(n) + 3*t(n). Differentiate z(u) wrt u.
3
Let d be -27 - 2*(1 + -2). Let r = 29 + d. Differentiate 0*h**4 + 4 + h**r - 3*h**4 wrt h.
-8*h**3
Let n(h) = -189*h**3 + 96*h**2 + 5*h. Let u(r) = -2*r**3 + r**2 - r. Let o(k) = -n(k) - 5*u(k). What is the third derivative of o(q) wrt q?
1194
Let t(c) = -272*c**3 - 7*c**2 - 1134*c - 7. Let h(i) = 136*i**3 + 4*i**2 + 567*i + 4. Let y(r) = 7*h(r) + 4*t(r). What is the second derivative of y(n) wrt n?
-816*n
Let p = 13 + -13. Suppose b - 4*j = -6, -j + 4*j - 6 = p. Find the second derivative of -6*o + b*o + o**3 + 2*o**3 - 5*o wrt o.
18*o
Suppose -5*a = 4*j - 84, 4*j - 4*a + 0 = 84. Find the first derivative of -2 - 11*p**2 + 0*p**2 + j*p**2 wrt p.
20*p
Suppose 2*j + 14 = 3*o + 5, -3*o + 6 = -3*j. Suppose -4*f = 4*y - j*f - 196, 0 = 4*f - 16. Find the second derivative of 5 - 5*b**3 - 5 + 47*b - y*b wrt b.
-30*b
Suppose 0 = -3*n - 3*y + 6, -6 = 2*n - 4*y + y. Let r(i) be the third derivative of -4*i**2 - 1/2*i**3 + n*i**4 + 0 + 0*i + 1/15*i**5. Differentiate r(t) wrt t.
8*t
Let c(i) be the third derivative of 3/4*i**4 + 0*i**5 + 0*i + 0 + 0*i**3 + 23/120*i**6 + 24*i**2. Find the second derivative of c(l) wrt l.
138*l
Let k(u) be the second derivative of 0*u**2 - 2/3*u**4 + 0*u**3 - 47/20*u**5 - 5*u + 0. Find the third derivative of k(x) wrt x.
-282
Suppose 4*q + 16 = 5*c - 2*c, 4*q = -c. Let y be q/(-1)*(4 - 3). What is the third derivative of -2*l**4 + 1 + y - 4*l**2 - 2 wrt l?
-48*l
Let h(d) be the second derivative of -31*d**4/6 - 5*d**3/3 + 2*d**2 + 30*d. What is the second derivative of h(p) wrt p?
-124
Let l(c) be the third derivative of 0*c**6 + 3*c**2 + 0*c + 0*c**5 - 1/30*c**7 + 0*c**3 - 5/24*c**4 + 0. What is the second derivative of l(h) wrt h?
-84*h**2
Let y(u) be the first derivative of -5*u**4/2 - 3*u**2/2 + 43*u - 91. Find the first derivative of y(p) wrt p.
-30*p**2 - 3
Let w(y) be the first derivative of 82*y**3/3 - 446*y**2 + 837. What is the second derivative of w(j) wrt j?
164
Let q(f) be the third derivative of -1/105*f**7 + 2*f**2 + 1 + 0*f + 1/3*f**3 + 0*f**6 + 1/24*f**4 + 0*f**5. Differentiate q(o) with respect to o.
-8*o**3 + 1
Let n(v) be the third derivative of 0*v + 0 + 6*v**2 + 0*v**7 + 3/56*v**8 + 0*v**4 + 0*v**6 + 0*v**3 + 9/20*v**5. Find the third derivative of n(k) wrt k.
1080*k**2
Find the third derivative of -6 - 4 - 91*v**3 + 4 - 3*v**2 - 3*v - v**4 + 6 wrt v.
-24*v - 546
Let m(n) = -n**3 - 4*n**2 + 3*n - 8. Let p be m(-5). Find the second derivative of -6*f - p*f - 21*f**4 + 9*f + 24*f wrt f.
-252*f**2
Find the third derivative of 306*l**2 - 2*l**3 + 14*l**4 - 124*l**4 - 431*l**2 wrt l.
-2640*l - 12
Find the second derivative of -11*f**3 + 108*f - 546*f - 3*f**3 + 12*f**2 - 2*f**3 + 0*f**3 wrt f.
-96*f + 24
Let q(v) be the second derivative of -4*v**3 + 29*v**2/2 + 10*v. Find the first derivative of q(p) wrt p.
-24
Let a(v) be the third derivative of -47*v**5/30 - v**4/8 + 3*v**3/2 - 106*v**2 + 2*v. Find the second derivative of a(j) wrt j.
-188
Let y(g) = -30*g - 171. Let c(z) = -59*z - 344. Let n(r) = 6*c(r) - 13*y(r). Differentiate n(a) wrt a.
36
What is the first derivative of 4*y**3 - 3*y**3 + 28285*y**4 - 28373*y**4 - 73 wrt y?
-352*y**3 + 3*y**2
Let u(z) be the second derivative of -11*z**7/210 - z**5/3 + z**2/2 + 3*z. Let r(o) be the first derivative of u(o). Find the third derivative of r(t) wrt t.
-264*t
Let u(o) be the second derivative of -o**8/560 - o**6/10 + 19*o**3/6 - 27*o. Let h(c) be the second derivative of u(c). Find the third derivative of h(s) wrt s.
-72*s
Let s(d) be the first derivative of 301*d**5/5 - d**2/2 + 126*d + 96. What is the second derivative of s(m) wrt m?
3612*m**2
Let g be (-8)/(5 - (12 + -5)). Let u(j) be the third derivative of 0 - g*j**2 - 1/20*j**5 + 0*j**3 + 0*j + 1/6*j**4. Find the second derivative of u(x) wrt x.
-6
Let h(s) be the second derivative of 0*s**3 + 0 - 25*s - 17/2*s**2 - 17/6*s**4. Differentiate h(o) with respect to o.
-68*o
Let u(a) be the third derivative of 55*a**4/24 + 19*a**3/6 + 3*a**2 + 4*a. Differentiate u(z) with respect to z.
55
Suppose -2*o - y = -7, -2*y + 1 = o + 2. Differentiate -11*g + o*g - 12*g - 2*g + 12 wrt g.
-20
What is the third derivative of -40 - 59*r**3 - 45 + 42*r**2 - 103*r**3 + 87 wrt r?
-972
Suppose -46 = -4*i - 6. Let x = -8 + i. Find the second derivative