 Let s(v) = v - 1. Let w(y) = -p(y) - 6*s(y). Differentiate w(j) wrt j.
-1
Let g(r) = -r**3 + 3*r**2 + 2*r + 4. Let w be g(4). Let f = 8 + w. Find the second derivative of -f*p + 3*p - 2*p**4 + p**4 wrt p.
-12*p**2
What is the second derivative of 20*o**2 + 58*o - 70*o - 7*o**2 wrt o?
26
Let o(j) be the first derivative of -j**8/280 + j**6/120 - 2*j**3 + 3. Let h(w) be the third derivative of o(w). Find the third derivative of h(a) wrt a.
-144*a
Let m be 1/(-4) + (-374)/(-88). Let n(u) be the second derivative of -2/3*u**3 + 2*u + 0*u**2 + 0 + 1/12*u**m. Find the second derivative of n(b) wrt b.
2
Find the second derivative of -5*j + 7*j**2 - 18*j + 7*j**2 + 2*j**2 wrt j.
32
Let p(s) be the second derivative of 1/12*s**4 + 0 + 0*s**3 + 0*s**5 + 0*s**6 + 5*s + 0*s**2 + 1/21*s**7. Find the third derivative of p(f) wrt f.
120*f**2
Let r(w) = -w**4. Suppose -21 = -5*n + 4. Let k(x) = 3*x**5 + 5*x**4 - 2*x. Let m(d) = n*r(d) + k(d). What is the second derivative of m(l) wrt l?
60*l**3
Let c(l) = -13*l**3 - 14*l**2 + 6*l. Let w(g) = -12*g**3 - 13*g**2 + 5*g. Let v(r) = -5*c(r) + 6*w(r). Find the third derivative of v(u) wrt u.
-42
Let c(p) = 3*p**2 + 1. Let q be c(1). Suppose -v - 2*v - 19 = -5*d, -3*v = 5*d - 1. What is the third derivative of i**2 + d*i**q + i**2 - 5*i**2 wrt i?
48*i
Let n be 1/(-1 - (-4)/3). What is the third derivative of -4*b**2 + 3*b**2 - 5*b**3 + 3*b**n + 4*b**3 wrt b?
12
Suppose 5*z - 436 = z. Find the second derivative of 2*y**3 + 2*y + z*y**2 - 109*y**2 wrt y.
12*y
Suppose 5*a = -x + 3*x + 19, -a - 2*x - 1 = 0. What is the second derivative of -v**3 - 22*v + 19*v - 2*v**a wrt v?
-18*v
Let d(g) be the third derivative of -g**6/40 - g**4/6 - 4*g**3 - 4*g**2 + 2*g. Differentiate d(p) with respect to p.
-9*p**2 - 4
Let l = -35 + 38. Suppose -5*u + 15 = -2*x - 7, -4*u = x - 15. What is the first derivative of -6*n**4 + 2*n**u - l + 2*n**4 wrt n?
-8*n**3
Let u = -43 + 45. Let s(n) = n + 7. Let p be s(-5). What is the third derivative of d**4 - u*d**2 + 3*d**p + 0*d**2 wrt d?
24*d
Let w(o) = o. Let q(m) = 8*m**2 - 2*m + 6. Let s = 29 + -27. Let c(l) = s*w(l) + q(l). Differentiate c(i) with respect to i.
16*i
Let o = 3 - 0. Let h(l) = -l + 1. Let x be h(-4). What is the derivative of 0 + x - o - v wrt v?
-1
Find the first derivative of 21 + 42*i + 33*i - 30*i wrt i.
45
Let f be ((-495)/(-78) - 6) + 4/26. Let h(v) be the first derivative of -1/2*v**4 - 3 + 0*v**3 + 0*v - f*v**2. Find the second derivative of h(k) wrt k.
-12*k
Suppose 2*m = m + 6. Find the third derivative of 3*j**2 - 2*j**m + 0*j**6 - j**6 wrt j.
-360*j**3
What is the first derivative of 9*j + 58 - 13*j**2 + 12*j**2 - 3*j wrt j?
-2*j + 6
Let g(f) be the first derivative of -4*f + 0*f**2 - 1/5*f**5 + 0*f**4 + 0*f**3 + 4. What is the derivative of g(y) wrt y?
-4*y**3
Differentiate -5*q - 1 - 11*q**4 + 2*q + 3*q wrt q.
-44*q**3
Let d(y) = -y**2 + 11*y + 6. Let k be d(11). Suppose 0 = h - p - 3, -h = h + 4*p - k. Differentiate u**h - 1 + 3 - 3 with respect to u.
3*u**2
Let o be (8/(-6) + (9 - 8))*0. Let r(v) be the third derivative of 0*v**3 + o*v + 1/20*v**5 - 4*v**2 + 0 + 1/12*v**4. Find the second derivative of r(p) wrt p.
6
Suppose -3*p - 5 = j + 1, -5*j = -3*p - 42. What is the third derivative of q**6 + 2*q + q**j + 2*q**2 - 2*q wrt q?
240*q**3
Let j = 8 - 6. Suppose -5 = -5*x + 5*c, -j*x + 7*x - 9 = 3*c. What is the derivative of 3 - x + 0*m**3 - 2 + 2*m**3 wrt m?
6*m**2
Let y(v) be the second derivative of -v**7/504 + v**6/240 - v**4/3 + 5*v. Let a(q) be the third derivative of y(q). What is the second derivative of a(s) wrt s?
-10
Let p(x) = 7*x**2 + 3. Let b(a) = 36*a**2 + 15. Let r be ((-2)/6)/(4/(-60)). Let d be 2/r - (-103)/5. Let m(g) = d*p(g) - 4*b(g). Differentiate m(y) wrt y.
6*y
Suppose 0 = -3*x + 5*i + 5, 2*x + 0*i + i = -14. Let m be (-1)/((-2 - x)/(-15)). Find the first derivative of 0 + m*s - 2 - 4*s wrt s.
1
Let o(m) be the third derivative of 7*m**8/48 + 31*m**4/24 - 14*m**2. Find the second derivative of o(n) wrt n.
980*n**3
Let y(l) be the first derivative of l**2/2 + l + 1. Let f(g) = -g - 4. Let a(c) = f(c) + 3*y(c). Differentiate a(i) wrt i.
2
Let x be 2/7 - (-10)/14. Suppose h - 7 = 2*o, h + 0*o + 2*o = -x. Find the second derivative of 0*l**3 - 2*l + 2*l + 2*l - l**h wrt l.
-6*l
Let z(k) = 15*k**3 + 20. Let d(t) = -76*t**3 - 100. Let q(o) = -3*d(o) - 16*z(o). What is the derivative of q(r) wrt r?
-36*r**2
Let x(g) = 10. Let t(z) = z - 10. Let i(n) = 7*t(n) + 6*x(n). Differentiate i(w) wrt w.
7
Let f = 6 - 4. Let g = f + 0. Find the first derivative of 0*j**g - 2*j**2 + 0 - 1 wrt j.
-4*j
Let k(t) = -7*t**2 - 13*t + 2. Let c(u) = 3*u**2 + 6*u - 1. Let f be (-16)/3 - 4/6. Let n(d) = f*k(d) - 13*c(d). Differentiate n(m) wrt m.
6*m
Let h(z) be the first derivative of 0*z**4 + 0*z**3 - 3/5*z**5 + 0*z**2 - 7 + 6*z. Find the first derivative of h(g) wrt g.
-12*g**3
Let o = -11 + 22. Differentiate 8*z**2 - 11 - 9 + o with respect to z.
16*z
Suppose 0 = 2*z, 2*s + 5*z + 1236 = 6*s. Differentiate 5 - 303*g**2 + 2*g + s*g**2 - 2*g with respect to g.
12*g
Let a = -10 - -12. Let j be (-182)/(-49) + a/7. What is the second derivative of 8*d**4 - 2*d**j - 2*d**4 + d wrt d?
48*d**2
Let g(j) be the second derivative of -j**7/7 - 7*j**3/6 - j. Find the second derivative of g(x) wrt x.
-120*x**3
Let y(p) be the first derivative of -19*p**4/2 - p**3/3 + 32*p - 17. What is the third derivative of y(v) wrt v?
-228
Let m(i) = 6*i - 4. Let y be m(5). What is the first derivative of 0*s**3 + y - 17 + 4*s**3 wrt s?
12*s**2
Let r(i) be the third derivative of i**6/360 - i**5/60 - i**3/6 - 4*i**2. Let m(b) be the first derivative of r(b). What is the second derivative of m(v) wrt v?
2
Let w(o) = o**3 - o. Let k(s) = 4*s**4 - 6*s**3 - 14*s**2 + 6*s. Let h(d) = k(d) + 6*w(d). What is the third derivative of h(l) wrt l?
96*l
Let d(j) be the third derivative of -j**6/60 - 4*j**3/3 - j**2. Find the first derivative of d(l) wrt l.
-6*l**2
Let o(x) be the third derivative of -x**9/126 - x**5/12 + 4*x**2. What is the third derivative of o(q) wrt q?
-480*q**3
Let m(k) = k**2 - 2*k - 1. Let a be m(4). Let q = a - 4. Find the first derivative of 3*w + 2*w + 2 - q*w wrt w.
2
Let t(n) be the first derivative of n**7/840 + n**6/180 - 4*n**3/3 - 4. Let w(h) be the third derivative of t(h). What is the third derivative of w(b) wrt b?
6
Let l(d) be the first derivative of 2*d**5/5 + d - 1. What is the first derivative of l(t) wrt t?
8*t**3
Let z(p) = p**4 - p**2 + p - 1. Let q(k) = -5*k**4 - 6*k**2 + 6*k - 9. Let v(y) = q(y) - 6*z(y). What is the first derivative of v(f) wrt f?
-44*f**3
Let y(w) be the third derivative of w**2 + 0 + 0*w**3 + 0*w**7 - 3/112*w**8 + 5/24*w**4 + 0*w**5 + 0*w + 0*w**6. What is the second derivative of y(z) wrt z?
-180*z**3
Find the third derivative of -7*x**6 + 0*x**6 - 27*x**2 - 16*x**6 wrt x.
-2760*x**3
Let j(h) be the second derivative of -h**6/30 - 4*h**2 - 4*h. What is the first derivative of j(x) wrt x?
-4*x**3
Find the second derivative of -4*y - 3*y**5 - 37 + 0*y**5 + 37 wrt y.
-60*y**3
Let y(p) be the first derivative of p - 1/5*p**5 + 0*p**4 + 0*p**3 - 3 + 0*p**2. Differentiate y(k) with respect to k.
-4*k**3
Let s(r) = 13*r - 10. Let m(u) = u + u - 8*u + 15 - 13*u. Let t(x) = 5*m(x) + 7*s(x). Differentiate t(d) wrt d.
-4
Find the second derivative of -2*a + a + 6*a**2 + 7*a wrt a.
12
Let y(b) be the second derivative of 0*b**2 - 1/12*b**4 + 0*b**3 + 0*b**6 + 8*b + 0*b**5 + 0 + 2/21*b**7. Find the third derivative of y(p) wrt p.
240*p**2
Let p = -4 + 6. Find the third derivative of 11*a**2 + 3*a**5 + 0*a**5 - 10*a**p wrt a.
180*a**2
Let m(b) = b**2 - b. Let v be m(-1). What is the second derivative of -a**2 + 3*a**3 - 3*a + 0*a**v + a**2 wrt a?
18*a
Let w(y) be the second derivative of 23*y**4/12 - 5*y**2 - 28*y. Find the first derivative of w(j) wrt j.
46*j
Let o(q) be the first derivative of 0*q**2 + 1/3*q**6 - 2/3*q**3 + 3 + 0*q**5 + 0*q**4 + 0*q. Find the third derivative of o(z) wrt z.
120*z**2
Let n(h) = -h**2 - 4*h + 7. Suppose 2*x + 15 = -a, -10 = 2*a - 0. Let l be n(x). What is the third derivative of -w**4 - w**4 + 0*w**2 + w**l + w**4 wrt w?
-24*w
Let p(h) = 25*h**2 + 8*h - 11. Let w(i) = -17*i**2 - 5*i + 7. Let y(r) = -5*p(r) - 