*7/21 - 5*m**4/6 + 7*m. Find the third derivative of q(j) wrt j.
-960*j**2
Suppose 0 = 4*u + 2*q - 3 + 5, q = -3*u + 1. Find the first derivative of j**2 + 2*j**u - 1 + 6 wrt j.
6*j
Suppose -3 - 4 = 3*k - 4*b, 0 = 3*b - 12. Find the third derivative of -2*p**2 + 3*p**2 + 0*p**2 + k*p**6 wrt p.
360*p**3
Let f(o) = 21*o**2 - 11*o + 29. Let m(r) = 11*r**2 - 6*r + 15. Let g(y) = 6*f(y) - 11*m(y). Differentiate g(d) wrt d.
10*d
Let g(q) be the first derivative of 1 + 0*q + 1/3*q**3 - 1/2*q**2. Find the second derivative of g(w) wrt w.
2
What is the second derivative of -3*i**3 - 148*i**4 + 26 + 156*i**4 - 2*i - 2 wrt i?
96*i**2 - 18*i
Suppose -1 + 3 = v. Suppose 2*w + 0 = 4. Find the third derivative of -v*i**2 - i + w*i**4 + i + 0*i**4 wrt i.
48*i
What is the first derivative of 0*l**3 + 9*l**3 - 1 + 15*l**3 wrt l?
72*l**2
Find the second derivative of 16*j - 6*j + 12*j**2 - 3*j**2 wrt j.
18
Suppose 5*f - 2 = 3*l - 1, 3*l = -5*f + 49. What is the derivative of 1 - 4 - 2 - l*j**2 + 4*j**2 wrt j?
-8*j
Let w(i) be the second derivative of i + 0 - 1/4*i**4 + 0*i**2 + 0*i**3 - 1/5*i**5. What is the third derivative of w(b) wrt b?
-24
Let i(j) be the third derivative of -5*j**6/12 + 59*j**4/24 - 20*j**2. Find the second derivative of i(v) wrt v.
-300*v
Let w(o) be the third derivative of -o**8/5040 - o**6/180 + o**5/60 + 6*o**2. Let r(j) be the third derivative of w(j). Find the first derivative of r(a) wrt a.
-8*a
Let x(o) = -2*o - 5. Let q be x(-5). What is the third derivative of -q*g**3 + 2*g**3 + g**2 + 7*g - 7*g wrt g?
-18
Let z(c) be the second derivative of c**6/10 + 9*c**2/2 + 2*c - 19. What is the derivative of z(h) wrt h?
12*h**3
Suppose -5*y + 0*y + 25 = 0. Suppose -5*k + 0*k - y*x + 25 = 0, -3*k + 11 = x. Differentiate k*p**2 - p**4 + 2 - 3*p**2 with respect to p.
-4*p**3
Let x(i) = i - 4. Let h be x(8). Suppose 3*c + 4 = h*c. Find the third derivative of -4*y**4 + 5*y**2 + 5*y**4 - c*y**2 wrt y.
24*y
Let s(k) = -3*k**4 - 9*k**2 - 13. Suppose 14 = 3*f + 2. Let p(h) = h**4 + 4*h**2 + 6. Let c(q) = f*s(q) + 9*p(q). What is the first derivative of c(m) wrt m?
-12*m**3
Let m(b) = -11*b**3 + 4*b + 5. Let i(r) = -23*r**3 + 9*r + 11. Let x(v) = 4*i(v) - 9*m(v). Differentiate x(z) with respect to z.
21*z**2
Let w(z) be the third derivative of 1/24*z**4 + 3*z**2 + 0 + 0*z + 1/6*z**3. Differentiate w(s) with respect to s.
1
Let k(f) be the first derivative of -f**5/60 - f**3/2 - f**2/2 + 2. Let a(p) be the second derivative of k(p). Differentiate a(g) wrt g.
-2*g
Let x(t) = 12*t**3 + 3*t**2 - 39. Let b(l) = 11*l**3 + 4*l**2 - 39. Let h(r) = -3*b(r) + 4*x(r). Differentiate h(z) with respect to z.
45*z**2
Suppose 5*r + 0*i - 7 = -3*i, -4*r - 5*i + 3 = 0. Suppose r*n = 3*n - 4. Differentiate v**2 - 2 + n*v - 4*v wrt v.
2*v
Let r(a) be the first derivative of 4 + 6*a + 0*a + 2*a**2 + 0. What is the derivative of r(d) wrt d?
4
Let v be (2/(-5))/((-3)/30). What is the second derivative of -n**2 + n**2 - n + 0*n**2 + 2*n**v wrt n?
24*n**2
Let d(h) be the second derivative of -h**10/7560 + h**6/720 - h**4/2 - 3*h. Let t(w) be the third derivative of d(w). Find the second derivative of t(r) wrt r.
-80*r**3
Let n(a) be the second derivative of 0 + 0*a**3 + 1/6*a**4 + 3/2*a**2 + 3*a. What is the derivative of n(d) wrt d?
4*d
Let v(c) be the second derivative of c**7/2 + 35*c**3/6 + 25*c. Find the second derivative of v(y) wrt y.
420*y**3
Let k(w) = w - 1. Let u(g) be the first derivative of g**2 - 2*g - 2. Suppose 4*q + 1 = 5. Let x(y) = q*k(y) - u(y). Differentiate x(p) with respect to p.
-1
Suppose -p = 3*w + 1, -5*w = 4*p + 6 - 2. Differentiate -t - 4 + 8 + w + 0*t wrt t.
-1
Find the second derivative of 5*f**5 + 0*f**3 - 9*f + 0*f**3 + 3*f wrt f.
100*f**3
Let s(x) = -x - 1. Let v = -2 + 3. Let t(h) = -h + 1. Let w(m) = v*s(m) + 3*t(m). Find the first derivative of w(d) wrt d.
-4
Let h = -6 + 11. Let p(j) = -j - 2. Let c(q) = -q - 1. Let n(l) = h*c(l) - 4*p(l). Find the first derivative of n(s) wrt s.
-1
Suppose 3*k + 3*n = 3, 2*k = k + 2*n + 7. What is the third derivative of x**2 - 4*x**2 + 4*x**3 - 4*x**3 + k*x**5 wrt x?
180*x**2
Let f(r) be the first derivative of -3*r**5/5 + r**2 + 2. Find the second derivative of f(p) wrt p.
-36*p**2
Let p(u) = -u**3 - u - 1. Let n(a) = 2*a**4 + 6*a**3 - 4*a**2 + 6*a + 6. Let t(g) = -n(g) - 6*p(g). What is the third derivative of t(h) wrt h?
-48*h
Let g(s) = -28*s + 28. Let n(t) = 9*t - 9. Let p(y) = 2*g(y) + 7*n(y). Find the first derivative of p(k) wrt k.
7
Let p(l) be the first derivative of -1 + 2*l + 1/2*l**2 - 1/3*l**3. Let a(q) be the first derivative of p(q). Differentiate a(w) with respect to w.
-2
Let w(h) be the first derivative of 3*h - 2 + 0*h**2 + 1/2*h**4 + 0*h**3. Differentiate w(o) wrt o.
6*o**2
Let w = 8 - -2. Let f = w - 5. What is the second derivative of 4*m - 2*m**4 - f*m - m**4 wrt m?
-36*m**2
Suppose 2*t - 2*a - 3 = -9, -4*t - 2*a = -6. Let o be 5 + 1*t/1. Find the second derivative of 3*r - 2*r**5 - 5*r + 3*r**o wrt r.
20*r**3
Let a = -9 - -11. What is the derivative of a*i + 0 - 3*i + 1 + 4*i wrt i?
3
Let h be ((-3)/(-36))/(-1)*-9. Let w(b) be the first derivative of 0*b**2 + 0*b + b**3 + 2 + h*b**4. What is the third derivative of w(z) wrt z?
18
Let b(l) be the first derivative of 2/3*l**6 + 0*l**4 + 3*l**3 + 0*l + 0*l**5 - 4 + 0*l**2. What is the third derivative of b(g) wrt g?
240*g**2
Let i(b) = 7*b**2 - 35*b - 42. Let t(y) = -y - 1. Let v(j) = i(j) - 35*t(j). What is the first derivative of v(x) wrt x?
14*x
Let p be (2/4)/(3/12). Suppose 0 = -p*j - j. What is the second derivative of 0*v**2 - 3*v**4 + 2*v + 0*v**2 + j*v**2 wrt v?
-36*v**2
Let j = -5 - -8. Suppose -3*p + 7 = -5. Differentiate 4*c**j + 1 + 2*c**4 - p*c**3 with respect to c.
8*c**3
Let p(h) be the second derivative of 6*h**5/5 - h**4/12 - h**3/2 + 2*h**2 + 2*h - 4. What is the second derivative of p(a) wrt a?
144*a - 2
Suppose -8*y + 3*y = -15. Find the third derivative of 5*f**2 + 0*f**2 - 4*f**2 + 4*f**4 - y*f**4 wrt f.
24*f
Let a(j) = -j + 13. Let q be a(9). Find the third derivative of 0*z**4 - 6*z**2 + 7*z**q + 3*z**2 + 4*z**2 wrt z.
168*z
Let x(m) = -6*m**2 - 10*m + 8. Let r(q) = -q**2 + 1. Let d(w) = 8*r(w) - x(w). Find the second derivative of d(c) wrt c.
-4
Let b(t) = -t**3 - 5*t**2 - 5*t + 2. Let n be b(-4). What is the third derivative of 3*a**2 - a**6 - a**6 + a**2 + 7*a**n wrt a?
600*a**3
What is the first derivative of -11*y + 282*y**2 - 29 - 20 - 281*y**2 + 1 wrt y?
2*y - 11
Let h(d) = -8*d**5 + 10*d**4 + 12*d**2 + 10*d + 10. Let a(p) = p**4 + p**2 + p + 1. Let u(z) = 10*a(z) - h(z). Find the third derivative of u(f) wrt f.
480*f**2
Find the third derivative of -26*q - 11*q**2 + 19*q**4 + 26*q wrt q.
456*q
Let m be -3 + (-11)/(33/(-18)). Find the third derivative of -5*d**3 + d**m + 10*d**3 + d**2 wrt d.
36
Let y(w) be the first derivative of 7/3*w**3 - 5/6*w**6 + 0*w + 0*w**5 + 7 + 0*w**2 + 0*w**4. Find the third derivative of y(m) wrt m.
-300*m**2
What is the first derivative of -1 - 8 + 40*r - 29*r wrt r?
11
Let u(h) be the first derivative of -2*h**4 + 4*h - 2. Differentiate u(f) with respect to f.
-24*f**2
Let x be (-7 - 2/(-2))/(-2). Find the first derivative of -1 + 0 + 2*w**3 + w**x + 2 wrt w.
9*w**2
Suppose -g + 14 = 2*l, -g - 5*l - 2 = -31. Find the third derivative of 6*c**2 + 4*c**3 + g*c**6 - 5*c**3 + c**3 wrt c.
480*c**3
Let d be (-21)/(-14) + 3/(-2). What is the second derivative of 0*p**5 + d*p + p - 6*p**5 wrt p?
-120*p**3
Let k(j) = 2*j**4 + 2*j**3 - 3*j**2 - 2*j. Let p(v) = -4*v**4 - 5*v**3 + 5*v**2 + 5*v. Let h(y) = -5*k(y) - 2*p(y). Find the third derivative of h(a) wrt a.
-48*a
Find the third derivative of -3*q**2 + 80*q - 80*q + 12*q**2 + 14*q**4 wrt q.
336*q
Let t(u) be the third derivative of u**8/168 + 7*u**5/60 - 3*u**2. What is the third derivative of t(m) wrt m?
120*m**2
Find the second derivative of -8*l**3 - 4*l + 0 + 0 + 23*l**3 wrt l.
90*l
Let z = -8 - -3. Let a = -3 - z. Find the third derivative of 2*h**4 + 4*h**4 + 3*h**a - 4*h**2 - 7*h**4 wrt h.
-24*h
Find the third derivative of h**4 - h**2 - 2*h**4 + 17*h**2 - h**4 wrt h.
-48*h
What is the second derivative of -c + 0*c**5 - 2*c + 0*c**5 + c**5 wrt c?
20*c**3
Find the third derivative of -v**5 + 3 - 6*v**2 - 3 + 0*v**