g). What is the third derivative of q(h) wrt h?
96*h
Let c be (-10)/(-3)*(-12)/(-10). What is the second derivative of -2*k - 9 + 9 - c*k**2 wrt k?
-8
Let f(h) = -15*h**2 + h. Let r(j) = -31*j**2 + 3*j. Let n(g) = -9*f(g) + 4*r(g). Find the second derivative of n(v) wrt v.
22
Let z(p) = 4*p**2 + 2*p + 2. Let y be z(-1). Find the second derivative of -4*n**y + n**4 + 2*n - n**4 wrt n.
-48*n**2
Let o = 0 - -5. Suppose 4*x - 2*x = 10. What is the second derivative of 5*s**3 - o*s**3 + 2*s**x + 3*s wrt s?
40*s**3
Let w(b) = 35*b - 13. Let s(g) = -36*g + 13. Let j(u) = 2*s(u) + 3*w(u). What is the derivative of j(l) wrt l?
33
Let w(h) = -2*h**2 - 11*h + h**2 + 5 + 11*h. Let a be w(0). Find the third derivative of 3*q**a - 14*q**4 + 14*q**4 + 4*q**2 wrt q.
180*q**2
Let z(m) be the third derivative of 3*m**6/40 - m**4/3 + 8*m**2. What is the second derivative of z(x) wrt x?
54*x
Let l(h) be the second derivative of 0*h**5 + 0*h**6 + 0*h**3 - 1/6*h**4 + h - 3/56*h**8 + 0*h**2 + 0*h**7 + 0. Find the third derivative of l(k) wrt k.
-360*k**3
Let m(j) = 12*j**3 - 2*j**2 - 2*j + 3. Let r(t) = 37*t**3 - 5*t**2 - 6*t + 9. Let x(d) = 8*m(d) - 3*r(d). Find the second derivative of x(f) wrt f.
-90*f - 2
Let w(k) = -k**2 - 8*k - 5. Let x be w(-6). Suppose -x*z + 15 = -2*z. Find the third derivative of -2*r**2 - 4*r**2 + 5*r**2 + 2*r**z wrt r.
12
Let z(u) be the third derivative of u**9/60480 + u**6/360 - u**5/30 - 3*u**2. Let m(v) be the third derivative of z(v). What is the derivative of m(g) wrt g?
3*g**2
Suppose -5*s - 2*m + 70 = 0, -3*m = 4*s + m - 68. Let z = s + -8. What is the second derivative of 82 + z*v + 4*v**2 - 82 wrt v?
8
Let l(a) be the second derivative of -5*a**8/14 - 5*a**4/4 - 14*a. What is the third derivative of l(h) wrt h?
-2400*h**3
What is the first derivative of -3*b**2 - 3*b**2 - 10 + 0*b**2 - 2*b**2 wrt b?
-16*b
Let c(q) = 10*q**2 + q + 3. Let u(o) = 10*o**2 + 2*o + 2. Let v(w) = 2*c(w) - 3*u(w). Find the second derivative of v(d) wrt d.
-20
Let f(j) be the second derivative of -j**6/5 - 3*j**2 + 2*j. Differentiate f(i) with respect to i.
-24*i**3
Suppose -4*c + 8*c - 40 = 0. Let g = 11 - c. Differentiate 4*y**4 + g - y**4 - y**4 with respect to y.
8*y**3
Let v be (5*4)/4 + 0. What is the second derivative of 111*s**3 - v*s - 111*s**3 - 7*s**4 wrt s?
-84*s**2
Let g(q) = q. Let b be g(3). Find the second derivative of 0*o**3 - 2*o - 4*o**3 + b*o + 6*o**3 wrt o.
12*o
Let u(o) = 28*o**3 - 4*o**2 + o. Let s(q) = -29*q**3 + 5*q**2 - q. Let w(n) = -4*s(n) - 5*u(n). What is the second derivative of w(p) wrt p?
-144*p
Let z(t) be the first derivative of -t**4/2 + 12*t**3 + 26. What is the third derivative of z(q) wrt q?
-12
Let g(r) = -5*r**3 - r**2 - 10*r. Let q(l) = -l**3 - l**2. Let i(h) = 2*g(h) - 2*q(h). Find the second derivative of i(c) wrt c.
-48*c
What is the derivative of -11 + 10*j**3 + 38 - 4*j**3 + 2 wrt j?
18*j**2
Suppose 2*g - q = 3*q - 2, 3*q = 4*g - 11. Find the second derivative of -g*i**3 - 2*i**3 + 3*i**3 - 3*i wrt i.
-24*i
Let j(a) be the third derivative of -5*a**9/504 + a**7/42 + a**5/60 + 5*a**4/24 - 9*a**2 - 3*a. What is the third derivative of j(y) wrt y?
-600*y**3 + 120*y
Let t(p) be the third derivative of p**5/12 + p**4/6 - 5*p**2. What is the second derivative of t(i) wrt i?
10
Let l(p) = -p + 5. Let k be l(3). What is the third derivative of -164*t**4 - 8*t**2 + 173*t**4 + 0*t**k wrt t?
216*t
Let r(q) = 2*q. Let k be r(2). Suppose 4*b - 10 = -b. Differentiate -1 - 2*j**3 + 2*j**k + b*j**3 with respect to j.
8*j**3
Suppose 5*q - 2*x = 28, q + 0*q - 3*x - 3 = 0. Differentiate 6*l - q*l - 2*l + 2 + 7*l wrt l.
5
Let v = -18 + 18. Let m(s) be the first derivative of 0*s**3 + 0*s - 1/3*s**6 + 2 + s**2 + v*s**4 + 0*s**5. Find the second derivative of m(f) wrt f.
-40*f**3
Find the third derivative of c**2 - 3*c**4 + c**4 + 8*c**2 - 3*c**4 wrt c.
-120*c
Let r(u) be the second derivative of -u**5/2 + 2*u**4/3 + u. Find the third derivative of r(h) wrt h.
-60
What is the derivative of -7*r**3 + 4*r**3 - 7 + 0*r**3 wrt r?
-9*r**2
What is the second derivative of 32*g - 60*g + 30*g - 3*g**2 wrt g?
-6
Let v(x) = 13*x**2 + 3. Let a(s) = -s**2. Let f(m) = -3*a(m) + v(m). What is the first derivative of f(y) wrt y?
32*y
Let f(y) = y**2 + 5*y + 3. Suppose 0 = 2*i + 6, -5*t - i + 2*i = 22. Let k be f(t). What is the first derivative of 1 + k*o**2 - 3 - 2*o**2 + 4 wrt o?
2*o
Suppose 0 = -3*t + 2*x, 5*t - x - 4 - 3 = 0. Let i be (-9)/(-5) - t/(-10). Find the first derivative of -1 + i + 0*r**4 - 5*r**4 wrt r.
-20*r**3
What is the derivative of 8 - 3*z**3 - 2*z**3 + 8*z**4 + 5*z**3 wrt z?
32*z**3
Differentiate -3*u**2 + 4*u**2 + 5*u**2 - 5 wrt u.
12*u
Let u(k) = k + 1. Let v be u(3). Find the first derivative of -3 - 2*h - v*h + 2*h + 2*h wrt h.
-2
Suppose -i + 6*i - 15 = 0. Let h(p) = p. Let a be h(i). Differentiate -5 + a + 2*d**2 - d**2 wrt d.
2*d
Let b(w) = -w**2 - 8*w - 7. Let j be b(-6). Let z = 7 - j. What is the third derivative of -k**2 - k**3 + k**2 - k**z wrt k?
-6
Suppose 5*z + 2*d - 66 = 0, 4*z = -z - d + 68. Let q be 2/6 + z/3. Find the third derivative of 3*c**q + c**5 + 0*c**5 - c**2 wrt c.
240*c**2
Let p(l) be the first derivative of -3/5*l**5 + 0*l**3 + 2 + 0*l**4 + 0*l - 4*l**2. What is the second derivative of p(j) wrt j?
-36*j**2
Let o = 83 + -83. Let b(u) be the second derivative of 0*u**4 + 0*u**3 + 1/5*u**5 + o + u**2 - 4*u. Differentiate b(y) with respect to y.
12*y**2
Let b(d) be the second derivative of -d**6/180 - d**5/20 - d**3/2 + 3*d. Let w(t) be the second derivative of b(t). What is the second derivative of w(y) wrt y?
-4
What is the second derivative of 4*z - 8*z - 6*z**4 + 5*z wrt z?
-72*z**2
Let z be 0 + (-2 - 2*-5). Find the second derivative of -z + 8 + 3*n**3 + 3*n wrt n.
18*n
What is the second derivative of -25*s - 63 - 42*s**2 + 8*s**2 + 63 wrt s?
-68
Let m(z) be the third derivative of -13*z**4/24 + 13*z**3/6 - 7*z**2. What is the derivative of m(q) wrt q?
-13
What is the second derivative of 103*i + 2*i**3 - i**3 + 0*i**3 - 125*i wrt i?
6*i
Let i = -16 + 19. Find the second derivative of 4*l**3 - 3*l**i - l**3 + 5*l - 2*l**4 wrt l.
-24*l**2
Let i(l) = 26*l + 14. Let x = 26 - 9. Let b(v) = -5 - 6*v - 3*v + 0. Let y(f) = x*b(f) + 6*i(f). Find the first derivative of y(w) wrt w.
3
Let y(l) = 43*l**3 - 14*l**2 - 5*l - 5. Let v(m) = -42*m**3 + 14*m**2 + 6*m + 6. Let u(b) = -5*v(b) - 6*y(b). Find the third derivative of u(k) wrt k.
-288
Find the second derivative of 127*n - 106*n + 22*n**5 + n**5 + 3*n**5 wrt n.
520*n**3
Suppose 2*w - 24 = -4*w. Suppose 3*m = m + 16. What is the second derivative of 2*i - 10*i**w + 2*i + m*i**4 wrt i?
-24*i**2
Let x(k) = 3*k**4 - 2. Let z(q) be the second derivative of -q**6/5 + 3*q**2/2 + 2*q. Let f(s) = -5*x(s) - 3*z(s). What is the first derivative of f(o) wrt o?
12*o**3
Find the second derivative of 0 + 18*s - 9*s**4 + 2 - 2 wrt s.
-108*s**2
Let i(q) be the first derivative of 0*q**5 + 0*q**4 + 2 + 0*q**2 + 1/6*q**6 - q**3 + 0*q. What is the third derivative of i(g) wrt g?
60*g**2
Let x(y) be the third derivative of -y**5/60 + 8*y**3/3 + 19*y**2. Differentiate x(r) with respect to r.
-2*r
Let w(i) = -30*i**2 - 2*i - 1. Let b(r) = 29*r**2 + 2*r + 1. Let d(y) = 4*b(y) + 5*w(y). What is the second derivative of d(a) wrt a?
-68
Let w(u) be the first derivative of -37*u**4/4 - 21*u**2/2 - 10. Find the second derivative of w(s) wrt s.
-222*s
Suppose 3*h - 9 = 9. Suppose 5*z = h*z + y - 5, -3*z + y + 11 = 0. What is the first derivative of 4*k - 3 + 2*k + 2*k - z*k wrt k?
4
Suppose -w = -4*w + 9. Suppose -10 = -2*c - w*t - 1, 5*t - 2 = c. What is the second derivative of -2*z - 3*z**3 + z**c + 0*z**3 + 3*z**3 wrt z?
6*z
Let g(c) = -3*c - 3*c**4 + 6*c + 5*c**4 - 7*c + 2*c**3 + 2*c**2. Let t(n) = n**3 + n**2 - n. Let h(m) = g(m) - 2*t(m). Find the second derivative of h(a) wrt a.
24*a**2
What is the derivative of -58*x**2 - 85*x**2 - 22 + 122*x**2 wrt x?
-42*x
Let t = -1 - -8. Find the second derivative of -5*k**4 + k - 3*k**4 + t*k**4 wrt k.
-12*k**2
Let c(f) be the second derivative of f**4/12 - 2*f**3/3 + 2*f. What is the second derivative of c(k) wrt k?
2
Let b(z) = z**2. Let x(p) = p**2 + 1. Let s(y) = -6*b(y) + 5*x(y). Find the first derivative of s(d) wrt 