at is the second derivative of x(q) wrt q?
2
Let x(d) = -d**2 + 2*d + 2. Let b be x(2). Let j(q) = q + 7. Let p be j(-5). Find the second derivative of -i + p*i - i**b - 2*i wrt i.
-2
What is the third derivative of 18*q**3 - 11*q**3 + 12*q**2 + 6*q**3 wrt q?
78
Suppose 2*u - 10 = 12. What is the second derivative of -6*t - 3*t**4 + 15*t + u*t**4 wrt t?
96*t**2
Let t(k) = k**5 + k**3 + k**2 - 1. Let b(s) = -10*s**5 + 5*s**3 + 7*s**2 - 5. Let r(a) = b(a) - 5*t(a). Find the third derivative of r(y) wrt y.
-900*y**2
Let v(n) = -3*n**3 - 6*n**2 + n - 6. Let h(c) = -c**3 + c**2 - c + 1. Let w(m) = 6*h(m) + v(m). Find the second derivative of w(x) wrt x.
-54*x
Suppose -4*r - 5 = -1. Let b be 2 - (r + 3 + -2). Find the second derivative of 3*y**4 - 3*y**4 + b*y + 2*y**5 - y wrt y.
40*y**3
Let b(r) = -40*r**2 + 24*r - 7. Let y(q) = -19*q**2 + 12*q - 4. Let w(j) = 3*b(j) - 5*y(j). What is the second derivative of w(f) wrt f?
-50
Let b(y) be the third derivative of 5*y**8/112 + 11*y**4/24 - y**3/2 + 7*y**2 - 2. What is the second derivative of b(z) wrt z?
300*z**3
What is the second derivative of 25*t - 62*t + 9*t**4 + 28*t wrt t?
108*t**2
Let v(n) be the third derivative of 0*n**3 + 1/24*n**4 + 0 + 0*n**5 - 4*n**2 - 1/112*n**8 + 0*n**7 + 0*n + 0*n**6. Find the second derivative of v(x) wrt x.
-60*x**3
Let g = -6 - -11. Let n(b) = -4*b**3 - 24*b**2 - 24*b - 20. Let t(f) = -f**3 - 5*f**2 - 5*f - 4. Let a(h) = g*n(h) - 24*t(h). Differentiate a(y) wrt y.
12*y**2
Let q = 10 + -7. Suppose 3*o - 3 = -5*w + 1, 5 = 2*o + w. What is the third derivative of -4*v**o + 2*v**3 + 2*v**2 + 0*v**q wrt v?
-12
Let i be ((-8)/12)/(4/(-54)). Find the second derivative of -i*j**4 + 10*j**4 + 4*j - 4*j**4 wrt j.
-36*j**2
What is the second derivative of 2*g + 10*g**4 - 135 + 135 - 11*g wrt g?
120*g**2
Let q = 2 + 4. Let w be (q/8)/(5/20). Differentiate 2*n**3 - n**3 + w - 4 with respect to n.
3*n**2
Let k be ((-6)/4)/((-3)/30). Suppose -h = 4*h - k. Differentiate -2 - a**3 + 3*a**3 + 0*a**h with respect to a.
6*a**2
Let n(u) = u**2 + 2*u + 1. Let c be n(-2). Let x be c/2 + 21/6. What is the derivative of -2 + k**4 + 0*k**x - 2*k**4 wrt k?
-4*k**3
Let x(p) be the third derivative of -p**4/8 - 3*p**3/2 - 10*p**2. Find the first derivative of x(g) wrt g.
-3
Let k(a) be the second derivative of a**4/12 - 5*a**3/6 - 3*a**2 - a. Let c be k(6). Find the second derivative of 0 - 3*v + 2*v**3 + c wrt v.
12*v
Find the third derivative of 12*s**2 - 3 - 1 + 3 - 74*s**5 + 5 wrt s.
-4440*s**2
Let t(n) be the first derivative of -n**9/756 - n**5/24 - n**3 + 6. Let w(b) be the third derivative of t(b). Find the second derivative of w(m) wrt m.
-80*m**3
Let j(t) be the first derivative of t**5/60 + t**4/8 + 5*t**3/3 - 3. Let c(x) be the third derivative of j(x). Differentiate c(l) wrt l.
2
Suppose 0*z - z = -2*x + 6, 0 = -4*z - 4*x + 24. Find the third derivative of 4*m**z + 4*m**2 + 4*m**6 + 5*m**6 wrt m.
1080*m**3
Let f(m) be the second derivative of 17*m**5/10 - 5*m**4/4 - 20*m. Find the third derivative of f(j) wrt j.
204
Find the second derivative of -l**2 + 62*l**4 + l**2 + 33*l - 45*l**4 wrt l.
204*l**2
Let c = -11 - -11. Let l(u) be the first derivative of 0*u**4 + 2/3*u**3 + c*u**2 - 2/5*u**5 + 0*u + 1. Find the third derivative of l(j) wrt j.
-48*j
What is the third derivative of 30*r**2 + 12*r**6 - r**6 - 22*r**2 wrt r?
1320*r**3
Let b be (0*(-3 + 4))/(-2). Let c(x) be the third derivative of -1/24*x**4 + 0 + 1/30*x**5 - 2*x**2 + 0*x**3 + b*x. What is the second derivative of c(f) wrt f?
4
What is the third derivative of 16*u**6 - 10*u**2 - 12*u**2 - 40*u**6 + 15*u**6 wrt u?
-1080*u**3
Find the third derivative of -23*r**2 + 44*r**4 + 56*r**3 - 108*r**3 + 52*r**3 wrt r.
1056*r
Let x(g) = -44*g**3 - 7*g**2 - 7*g + 24. Let t(v) = 15*v**3 + 2*v**2 + 2*v - 8. Let m(h) = 7*t(h) + 2*x(h). Differentiate m(o) with respect to o.
51*o**2
Let s = 2 + 1. Suppose 5*z + 3*u = -0*z + 27, -s*z = -4*u + 7. What is the second derivative of 4*r - r + z*r**5 + r**5 wrt r?
80*r**3
Let y(c) be the first derivative of -3*c + 1/2*c**2 + 2. Find the first derivative of y(d) wrt d.
1
Suppose 4*t - 20 = 40. Suppose 0 = 5*v - 5 - t. What is the derivative of 1 - g + 0 + 1 + v*g wrt g?
3
Suppose y - 4*h - 13 = 0, -3*y = -3*h + 4*h - 13. Find the third derivative of 7*b**5 + 7*b - 2*b - 5*b + y*b**2 wrt b.
420*b**2
Let g = 3 + -3. Differentiate 2*q - 7*q + g*q + 3 + 1 wrt q.
-5
Let i(c) = 29*c - 10. Let o(b) = 28*b - 12. Let w(r) = -5*i(r) + 4*o(r). What is the first derivative of w(y) wrt y?
-33
Let n(x) be the third derivative of x**8/420 + x**6/90 - 5*x**3/6 + 4*x**2. Let z(c) be the first derivative of n(c). Find the third derivative of z(u) wrt u.
96*u
Suppose 3*t + 167 - 10 = 4*y, -5*y + 173 = 4*t. What is the second derivative of 2*p + y - 9*p**2 - 37 wrt p?
-18
Let j(p) = 5*p**3 + 32*p**2 - 3*p + 3. Let d(w) = -4*w**3 - 31*w**2 + 2*w - 2. Let l(t) = -3*d(t) - 2*j(t). Find the third derivative of l(b) wrt b.
12
What is the first derivative of -25 + 38*i - 2 - 11 - 6*i wrt i?
32
What is the third derivative of 6*n**3 + 2*n**3 + 7*n**2 + 6*n**2 + 2*n**3 wrt n?
60
Let k(x) = -3*x**3. Let d(g) = -3*g**3 + g**2. Let u(c) = -6*d(c) + 5*k(c). Find the third derivative of u(t) wrt t.
18
Let w(u) be the second derivative of 7*u**5/20 + u**3/2 - 27*u**2/2 + 3*u + 5. What is the derivative of w(d) wrt d?
21*d**2 + 3
Let m(u) = u**3 + 5*u**2 - 44*u - 34. Let c(i) = -2*i**2 + 22*i + 17. Let g(f) = -5*c(f) - 2*m(f). Find the first derivative of g(d) wrt d.
-6*d**2 - 22
Let d(l) = 4*l**5 + 5*l**4 + 12*l**2 - 57*l - 5. Let h(u) = -u**5 - u**4 + u + 1. Let f(i) = -d(i) - 5*h(i). Find the second derivative of f(o) wrt o.
20*o**3 - 24
Let p be 28/6 - (-4)/12. Find the first derivative of -p + 89*m - m**2 - 89*m wrt m.
-2*m
Let t(k) be the first derivative of 5*k**4/2 - 44*k**3/3 - 22. Find the third derivative of t(r) wrt r.
60
Let m be 1/((-10)/(-8) + -1). What is the first derivative of 4*f**4 - f**4 - 1 + 2*f**m - 4*f**4 wrt f?
4*f**3
Let w(f) = -2*f**2 + 3*f + 4. Let y(u) = 3*u**2 - 2*u - 4. Let g(c) = -2*w(c) - 3*y(c). What is the derivative of g(x) wrt x?
-10*x
Suppose -2*b - 4*s + 26 = 0, -4*s + 14 = 5*b - 21. Find the third derivative of -7*v**2 - 2*v**b + 5*v**3 + 5*v**5 - 3*v**3 wrt v.
300*v**2
Let j(v) be the first derivative of -5*v**4/4 + 3*v - 1. What is the first derivative of j(w) wrt w?
-15*w**2
Let h = -5 - -8. Suppose 0 = -4*d - 5*a + 20, -4*a + 2 + 14 = -h*d. What is the second derivative of -8*b**5 + d*b + 6*b**5 - b wrt b?
-40*b**3
Let q(a) be the first derivative of -4*a**5/5 + 5*a**2/2 + 8. Find the second derivative of q(h) wrt h.
-48*h**2
Let s(d) = d + 1. Let u(o) = 13*o + 6. Let a(y) = 18*s(y) - 2*u(y). What is the first derivative of a(c) wrt c?
-8
Let s(v) be the first derivative of 0*v**2 + v + 4/3*v**3 + 1. Differentiate s(w) wrt w.
8*w
Let x(v) = v**2 + v - 1. Let q(g) = -10*g**4 + 6*g**2 + 6*g - 9. Let n(z) = q(z) - 6*x(z). What is the derivative of n(a) wrt a?
-40*a**3
Let n(c) be the first derivative of 4*c + 0*c**3 - 3/2*c**2 - 3 + 1/12*c**4. Let d(f) be the first derivative of n(f). Differentiate d(o) wrt o.
2*o
Differentiate -28*w**2 - 19*w**4 + 28*w**2 - 12 - 10 wrt w.
-76*w**3
Let n(k) be the first derivative of k**7/210 - k**3/3 + 3*k**2 - 4. Let r(p) be the second derivative of n(p). What is the first derivative of r(j) wrt j?
4*j**3
Let g(d) be the third derivative of 0 + 0*d + 0*d**3 + 3*d**2 - 2/15*d**5 - 1/3*d**4. What is the second derivative of g(w) wrt w?
-16
Let h(u) = -u + 2*u + u. Let c be h(3). Find the third derivative of -6*z**6 - 3*z**2 + z**c + 3*z**6 wrt z.
-240*z**3
Let a(v) = v**3. Let b(y) be the third derivative of y**6/30 - y**5/20 + 5*y**2. Let g(n) = 5*a(n) - b(n). What is the third derivative of g(z) wrt z?
6
Let v(g) be the second derivative of -7*g**3 - 5*g**2 - 2*g - 23. What is the first derivative of v(d) wrt d?
-42
Let l(s) = -s - 6. Let o be l(-11). Suppose 10 = o*q - 0*q. What is the first derivative of 6*i + 2 - q*i + 2*i**2 - 4*i wrt i?
4*i
Suppose 4*j - 8 = 2*j. Find the third derivative of 0*t**2 + t**2 + 7*t**2 - 3*t**j - t**2 wrt t.
-72*t
Let l(i) be the second derivative of -9*i**5/20 + 5*i**4/4 + 13*i. What is the third derivative of l