 What is the second derivative of t(z) wrt z?
-6*z
Let i(t) = -28*t**3 + 11*t**2 + 7*t + 11. Let z(q) = -7*q**3 + 3*q**2 + 2*q + 3. Let f(c) = 6*i(c) - 22*z(c). Find the second derivative of f(u) wrt u.
-84*u
Suppose 0 = 2*x - 5*x + 24. Suppose -4*w = -4, 5*w - x = -4*j + 3*j. What is the second derivative of -3*f + 2*f**3 + 2*f**3 - 7*f**j + f**3 wrt f?
-12*f
Suppose -3*v = -4*v + 5. Differentiate -1 - 15*q - v*q + 5*q + 4*q with respect to q.
-11
Let a(w) be the first derivative of w**4/6 + w**2 + 4*w - 6. Let m(j) be the first derivative of a(j). Differentiate m(k) wrt k.
4*k
What is the second derivative of 3*t - 11*t + 0*t + 4*t**3 wrt t?
24*t
Let k(o) = -17*o**2 + 5*o - 37. Let v(j) = 9*j**2 - 2*j + 18. Let y(h) = -2*k(h) - 5*v(h). What is the first derivative of y(l) wrt l?
-22*l
What is the derivative of 13 - 6*w + 11*w + 11*w wrt w?
16
Let i be (6/(-6))/((-1)/(-2)) - -2. Let q(y) be the first derivative of i*y**3 + 0*y + 2 - 1/4*y**4 + 1/2*y**2. Find the second derivative of q(b) wrt b.
-6*b
Let j(y) be the third derivative of 0*y + 5*y**2 + 0 + 1/12*y**5 + 0*y**4 + 0*y**6 + 0*y**3 + 1/42*y**7. Find the third derivative of j(i) wrt i.
120*i
Let r(l) be the third derivative of 0 - 1/112*l**8 + 0*l**6 + 0*l**5 + 0*l**3 + 0*l**7 - 5*l**2 + 0*l + 5/24*l**4. Find the second derivative of r(s) wrt s.
-60*s**3
Let i = 7 - 6. Let m(q) = -q**5 - q**2 + q - 1. Let j(w) = w**5 - 2*w**2 + 3*w - 3. Let s(v) = i*j(v) - 3*m(v). Find the third derivative of s(h) wrt h.
240*h**2
Let w(m) be the second derivative of 5/6*m**3 + m - 3/20*m**5 + 0 + 0*m**4 + 0*m**2. Find the second derivative of w(u) wrt u.
-18*u
Let s(z) be the second derivative of -z**4/4 + 6*z**2 - 5*z. Differentiate s(v) with respect to v.
-6*v
Let s(j) be the second derivative of j**7/42 - 4*j**3/3 + 10*j. What is the second derivative of s(m) wrt m?
20*m**3
Let z(a) be the third derivative of -a**6/20 + 3*a**4/8 - 9*a**2. What is the second derivative of z(m) wrt m?
-36*m
Let g(l) = -l**4 + l**2 + l + 1. Let t(v) = 18*v**4 - 12*v**2 + 14*v - 12. Let u(h) = -12*g(h) - t(h). What is the second derivative of u(p) wrt p?
-72*p**2
Let f(k) = -3*k**5 - 5*k**4 + 5*k**2 - 3. Let h(d) = -4*d**5 - 6*d**4 + 6*d**2 - 4. Let w(z) = 5*f(z) - 4*h(z). Find the third derivative of w(p) wrt p.
60*p**2 - 24*p
Let h be 0/((-12)/((-4)/(-1))). Find the second derivative of 2*u**2 + h*u**2 - 3*u + 0*u**2 wrt u.
4
Let a(m) be the second derivative of 11*m**6/30 - 9*m**2/2 + 6*m. What is the first derivative of a(o) wrt o?
44*o**3
Let w(q) = -2*q**4 - q**3 + q**2 - q + 5. Let u(t) = t**4 - t**3 + t**2 - t. Let z(o) = -u(o) + w(o). What is the first derivative of z(c) wrt c?
-12*c**3
Let w(z) = -z - 2. Let h be w(-5). Find the third derivative of -7*y**3 + h*y**3 - y**3 + y**3 + 4*y**2 wrt y.
-24
Let d(i) = -2*i**4 - 2. Let v(c) = -1 + 4*c**3 - 2*c**4 - 4*c**3. Let h(f) = 4*d(f) - 5*v(f). What is the first derivative of h(x) wrt x?
8*x**3
Suppose 5*p + 5*c = 0, -3*p = -2*p - 5*c - 12. Find the third derivative of -2*j**p + 2*j**2 - 3*j**2 - j**5 wrt j.
-60*j**2
Differentiate 22 - 61*x**2 - 6*x**4 + 120*x**2 - 59*x**2 wrt x.
-24*x**3
Let g(p) = p**2 + 3*p - 14. Let s be g(-6). Differentiate -5*j**2 + 0 + 5*j**2 + s - 6*j**3 wrt j.
-18*j**2
Let g(t) be the first derivative of -t**10/5040 - t**6/180 + 2*t**3/3 - 1. Let f(y) be the third derivative of g(y). What is the third derivative of f(v) wrt v?
-120*v**3
Let f be 1 - (24/(-3) - -1). Suppose f = 2*h + 2*h. What is the second derivative of 0*b**2 + 4*b**h + b - 2*b**2 wrt b?
4
Let x(p) = -p - 6. Let v be x(-9). Suppose 12 = 4*j - v*u, 0*j + 3*j + 4*u + 16 = 0. Differentiate 0 - 3 + w + j*w with respect to w.
1
Let z(d) be the second derivative of -31*d**5/20 - 4*d**2 - 13*d. Differentiate z(m) wrt m.
-93*m**2
Let d(h) = 38*h**3 - 6*h**2 - 12. Let k(v) = -37*v**3 + 5*v**2 + 11. Let f(g) = -5*d(g) - 6*k(g). What is the derivative of f(s) wrt s?
96*s**2
Let q = -10 - -18. Suppose -h - q*d + 6 = -4*d, 4*h + 2*d = 10. What is the derivative of 2*f**3 - 1 - h + 2 wrt f?
6*f**2
Let i(p) be the second derivative of p**7/14 - 5*p**3/3 + 16*p. What is the second derivative of i(c) wrt c?
60*c**3
Let b(l) = 4*l**3 - 5*l**3 - 5 - 10*l**3. Let u(v) = 6*v**3 + 3. Let a be (-8)/6*(1 + 2). Let k(c) = a*b(c) - 7*u(c). Differentiate k(w) with respect to w.
6*w**2
Let s(k) be the third derivative of 11*k**7/210 + 5*k**3/3 + 8*k**2. Differentiate s(f) with respect to f.
44*f**3
Suppose -14 = -5*a - 2*n + 7, -23 = -3*a + 4*n. What is the second derivative of -2*b**a - b**3 - 2*b + b**3 + 3*b**5 wrt b?
20*b**3
Let d(n) = n**2 - 4*n - 3. Let b be d(5). Let x be ((-4)/b)/(-2) - -1. Find the first derivative of 1 + 2*h**x + h**2 - 3*h**2 + 3*h**2 wrt h.
6*h
Let r(k) be the third derivative of -k**9/56 - k**5/30 + 11*k**2. Find the third derivative of r(q) wrt q.
-1080*q**3
Let a(b) = 29*b**3 + 56*b - 5. Let g(o) = 188*o**3 + 364*o - 32. Let w(t) = -32*a(t) + 5*g(t). Find the second derivative of w(u) wrt u.
72*u
Let a(n) be the second derivative of 2*n - 7/6*n**3 - 1/2*n**2 + 0. Let w(h) = 10*h + 2. Let v(u) = -7*a(u) - 5*w(u). What is the derivative of v(l) wrt l?
-1
What is the first derivative of 93 + 27*r**3 - 110 - 2*r**3 wrt r?
75*r**2
Let l(g) be the second derivative of g - 1/6*g**3 + 0 + 0*g**2 - 1/12*g**4. What is the second derivative of l(a) wrt a?
-2
Differentiate -3*c + 24*c**3 + 55 + 3*c - 64 wrt c.
72*c**2
Let p(r) be the first derivative of 0*r**2 + 2/3*r**3 + 3*r - 3. What is the first derivative of p(b) wrt b?
4*b
Find the third derivative of -9*p**2 + 18*p**4 - 19*p**4 + 17*p**4 wrt p.
384*p
Let t(v) be the third derivative of 1/30*v**5 + 4*v**2 + 1/2*v**3 + 0*v + 0*v**4 + 0. What is the first derivative of t(g) wrt g?
4*g
Let k(t) be the first derivative of 14*t**5/5 + 29*t**2/2 + 16. What is the second derivative of k(j) wrt j?
168*j**2
Let m(h) be the first derivative of 3*h**5/5 + h**3/3 - 18. Find the third derivative of m(p) wrt p.
72*p
Suppose -5*n + 6 + 4 = 0. What is the second derivative of d**2 + 0*d**n + 2*d + 0*d wrt d?
2
Suppose -2*r = -1 - 9. Find the first derivative of 5*k**2 - 3*k - 2*k - 9 + r*k wrt k.
10*k
Let i(c) = -4*c - 1. Let b be i(-4). Suppose 4*t + 2*w + 6 = t, 3*t - b = 5*w. What is the first derivative of -3 - 4*y**3 + 7 + t wrt y?
-12*y**2
Let w(u) be the first derivative of -1/2*u**4 + 0*u**2 + 0*u**3 + 3 + 2*u. Differentiate w(p) wrt p.
-6*p**2
Let i = 6 - 2. Find the second derivative of -10*r**4 + r**i + 7*r + 2*r**4 + 4*r**4 wrt r.
-36*r**2
Let b(n) be the third derivative of n**5/20 + n**3 + 3*n**2. Let u(r) = -3*r**2 - 7. Let i(q) = 6*b(q) + 5*u(q). What is the derivative of i(f) wrt f?
6*f
Let q be ((-1)/(-3) + -1)*-3. What is the third derivative of 16*f**3 + q*f**4 - 16*f**3 - 3*f**2 wrt f?
48*f
Let j(f) be the first derivative of f**6/30 + f**4/6 - 2*f + 3. Let b(a) be the first derivative of j(a). What is the third derivative of b(w) wrt w?
24*w
Let q(z) = 9*z**2 + 3*z. Let b(m) = -5*m**3 - 1. Let x be b(1). Let r(h) = -3*h**2 - h. Let g(d) = x*q(d) - 17*r(d). Find the second derivative of g(p) wrt p.
-6
Let r(f) = f**2 + 7*f + 8. Let m be r(-6). What is the second derivative of 2*a**m - a - 17 + 17 wrt a?
4
Suppose -y - 3*n = -n - 9, 3*y + n = 37. Let k = y + -9. What is the derivative of -k + 42*o - 42*o + 4*o**4 wrt o?
16*o**3
What is the third derivative of -5*o**4 + 17*o**4 - 33*o**4 + 20*o**2 wrt o?
-504*o
Let s(c) be the third derivative of 0 + 8*c**2 + 4/105*c**7 + 0*c + 0*c**5 + 0*c**4 + 0*c**6 + 1/6*c**3. What is the first derivative of s(d) wrt d?
32*d**3
Let t be 4/(-14) - 32/(-14). Suppose -3*y = -2*y - t. Find the third derivative of 0*g**2 + 4*g**4 + y*g**2 - g**4 wrt g.
72*g
Let h(n) = 10*n - 1. Let c(a) = -60*a + 5. Suppose -5 = 2*u + 3. Let t(i) = u*c(i) - 25*h(i). What is the derivative of t(b) wrt b?
-10
What is the third derivative of 0*x**2 + 2*x**2 + 3*x**2 - 5*x**3 - 5*x**3 wrt x?
-60
Suppose -2*u + 6*u = 0. What is the first derivative of 2*b + u*b + b + 4 wrt b?
3
Suppose 5*y + 4*m + 6 = 0, 2*y - 3 = m + 5. Find the second derivative of n**5 + n + 0*n - y*n**5 + 0*n wrt n.
-20*n**3
Let w(p) = -p**2 - 3*p + 3. Let c be w(-3). What is the first derivative of -3 + 5 - 7 - 3 - 8*u**c wrt u?
-24