 second derivative of z(s) wrt s?
-4
What is the second derivative of 13*t + 7*t - 4*t + 0*t**3 - 14*t**3 wrt t?
-84*t
Suppose d - 3*d = -4*t + 14, 2*d - 22 = -2*t. What is the third derivative of -4*q**2 + t*q**4 + 0*q**4 - 6*q**4 + 4*q**5 wrt q?
240*q**2
Let r(t) be the first derivative of -13*t**4/4 + 26*t**3/3 - 9. What is the third derivative of r(x) wrt x?
-78
Let j(k) be the second derivative of 3*k**8/56 + k**7/7 + k**4/6 + 7*k**3/6 - 2*k - 13. What is the third derivative of j(h) wrt h?
360*h**3 + 360*h**2
Let g(x) be the first derivative of 9*x**4/2 - 13*x**3/3 - 19. Find the third derivative of g(c) wrt c.
108
Find the third derivative of -16*l**6 + 24*l**6 - 61*l**6 - 41*l**2 wrt l.
-6360*l**3
Let v(n) be the third derivative of 19*n**9/252 - n**7/210 - 17*n**5/60 + 45*n**2. Find the third derivative of v(o) wrt o.
4560*o**3 - 24*o
Let o be 1/(-2)*(-2 - 0). Suppose -o = 5*r - 6. Find the third derivative of 2*k**4 - r + 13*k**2 + 1 - 16*k**2 wrt k.
48*k
Let v(g) = -g - 6. Let f be v(-7). Differentiate s + 2*s + 0*s - 2 + f wrt s.
3
Let z(x) = -x**3 - x**2 + 1. Let k(o) = -3 + 3*o**3 - o**2 + 3*o**2 + o**3. Let c(q) = k(q) + 3*z(q). Find the third derivative of c(b) wrt b.
6
Suppose 4*g + 3 = g. Let i be 8/20*(-5)/g. What is the second derivative of 3*m + m**2 + 4*m**2 - 3*m**i wrt m?
4
Let z(p) be the second derivative of p**8/1680 - p**4/24 + 5*p**3/6 + 6*p. Let u(x) be the second derivative of z(x). Find the first derivative of u(a) wrt a.
4*a**3
Let t(w) = -12*w**4 + 6. Let o be (-7)/14*(6 - 2). Let f(n) = 37*n**4 - 17. Let u(a) = o*f(a) - 7*t(a). Differentiate u(x) wrt x.
40*x**3
Suppose 8 = -4*z + 8*z. What is the derivative of 3*f**z - 5*f**2 - f**2 + 3 wrt f?
-6*f
Suppose -3*d - 3 = -9. What is the derivative of -q + 2*q - d*q - 4 wrt q?
-1
Let y be (-6)/(-4) - 5/30. Let j(s) be the first derivative of 0*s**2 + 4*s + y*s**3 + 1. Differentiate j(h) wrt h.
8*h
Find the first derivative of 10*z + 0*z**2 - 2*z**2 + 15 + 53 wrt z.
-4*z + 10
Let l be ((-8)/10)/((-6)/45). Find the second derivative of 6*j**4 + l*j - 2*j - j - 5*j wrt j.
72*j**2
What is the derivative of 45*o + 121 - 58 - 87 wrt o?
45
Let f(j) = 9*j**3 - j**2 - 6*j. Let y(n) = -n**3 + n**2 + n. Let z be 0 - (2 + -4 - -8). Let b(u) = z*y(u) - f(u). What is the third derivative of b(d) wrt d?
-18
Let p(g) be the third derivative of 0*g**5 + 1/8*g**4 + 1/60*g**6 + 0 + 4*g**2 + 0*g**3 + 0*g. Find the second derivative of p(y) wrt y.
12*y
What is the second derivative of -5*n**4 + 4*n - 6*n**4 - n**4 wrt n?
-144*n**2
Let q be 11/3 - (-6)/(-9). Let v(t) be the second derivative of 1/6*t**4 - t + 0*t**2 + 0 - 1/3*t**q. Find the second derivative of v(y) wrt y.
4
What is the first derivative of -12 - 5 + f + 9 - 5 wrt f?
1
Let w(k) be the third derivative of -k**7/1008 + k**6/144 - k**5/60 - 3*k**2. Let j(q) be the third derivative of w(q). Differentiate j(g) wrt g.
-5
Let n(p) = 2*p**3 - p**3 - 246 + 246 - p. Let a(h) = h**3. Let w(q) = 12*a(q) - 3*n(q). What is the second derivative of w(v) wrt v?
54*v
Let z(l) = -l**4 + 5*l + 6. Let n(m) = -9 - 4 + 3*m**4 - 14*m - 4. Let y(s) = -6*n(s) - 17*z(s). Find the second derivative of y(o) wrt o.
-12*o**2
What is the first derivative of 15*s**3 - 3 + 2 - 17*s**3 + 4 wrt s?
-6*s**2
Let n(d) be the third derivative of 0 + d**2 + 0*d + 0*d**3 + 1/12*d**4 - 1/15*d**5. Find the second derivative of n(q) wrt q.
-8
Let f = 10 + -7. What is the third derivative of -2*z**2 + f + 3*z**5 - 3 wrt z?
180*z**2
Let l(j) = 10*j**2 + 3*j + 6. Let r(u) = 10*u**2 + 4*u + 5. Let x(i) = -4*l(i) + 3*r(i). Differentiate x(v) wrt v.
-20*v
Let l(s) be the first derivative of s**3 - 11*s**2 - s**2 + 15*s**2 - 3. Find the second derivative of l(v) wrt v.
6
Let j(z) be the second derivative of 0*z**2 + 0*z**6 + 0 + 0*z**3 + 0*z**7 + 1/4*z**4 + 0*z**5 + 1/28*z**8 - 3*z. Find the third derivative of j(d) wrt d.
240*d**3
Let r(z) be the first derivative of 4*z**4 + 2*z**3 + 8. Find the third derivative of r(k) wrt k.
96
Find the third derivative of -15*l**4 - 7*l**2 - 34*l**4 - 5 + 3*l**4 wrt l.
-1104*l
Let k(j) = -2*j**2 - 8. Let n(y) be the third derivative of -y**3/6 + 3*y**2. Let c(r) = -k(r) + 6*n(r). What is the derivative of c(h) wrt h?
4*h
Let k(b) be the third derivative of -23*b**6/120 - b**5/10 - b**4/24 + 3*b**2 - 6. What is the third derivative of k(c) wrt c?
-138
What is the third derivative of 9*u**4 + 10*u**4 - 17*u**4 - 14*u**2 wrt u?
48*u
What is the third derivative of 2*h**3 + h**2 + 18*h**3 + 7*h**2 + 2*h**3 wrt h?
132
Let q(f) = f**2 + 4*f - 8. Let b be q(-7). Let x = b + -8. Find the second derivative of 0*a - x*a**5 + 4*a**5 + a wrt a.
-20*a**3
Let s(w) be the second derivative of 19*w**6/30 + 5*w**2 - 5*w. What is the derivative of s(y) wrt y?
76*y**3
Let n(x) = x + 10. Let b(p) = -3*p - 1. Let s be b(2). Let y be n(s). What is the second derivative of -2*d**4 - 3*d**2 + y*d + 3*d**2 wrt d?
-24*d**2
What is the second derivative of -6*n + n - 7*n**3 + 4*n wrt n?
-42*n
What is the derivative of 4 - 2*w**2 - 4*w**2 - 2*w**2 - 34 wrt w?
-16*w
Let a(n) = 3*n**2 - 2*n - 1 - 2*n**2 - n**3 + 2*n**2 + n**2. Let i be a(2). Differentiate t**i - 2*t**3 + 4 + 0*t**3 with respect to t.
-3*t**2
What is the third derivative of 3*n**2 + 43*n**3 + 5*n**4 - 43*n**3 wrt n?
120*n
Let s(j) be the first derivative of 3/4*j**4 - j**2 + 0*j**3 + 0*j + 4. Find the second derivative of s(h) wrt h.
18*h
Suppose 3*f - 21 = 2*l, -3*f - 5*l + 10 = 2*f. Find the third derivative of -4*i**2 - 3*i**f - 70*i**3 + 70*i**3 wrt i.
-180*i**2
Let f(x) be the second derivative of x**8/1680 - x**6/720 + x**4/6 + x. Let v(y) be the third derivative of f(y). What is the second derivative of v(s) wrt s?
24*s
Let a(x) = x. Let b(w) = 4*w**2 - 11*w + w**2 - 4*w**2 + 0*w**2 - w**4. Let u(i) = -22*a(i) - 2*b(i). Find the third derivative of u(d) wrt d.
48*d
Let u(m) = 6*m**3 - m**2 + 1. Let f be u(1). Suppose -v = v - f. Find the third derivative of 3*o**3 - o**4 + 3*o**2 - v*o**3 wrt o.
-24*o
Suppose 8*t = 3*t + 15. What is the second derivative of 3*z + z - 4*z**4 + 0*z**t + 0*z**3 wrt z?
-48*z**2
Find the third derivative of -20 - 24 + 11*g**4 + 44 + 8*g**2 wrt g.
264*g
Let r(f) = -f + 10. Let q be r(7). What is the first derivative of 13 + 5*o**3 + 3*o**q + 0*o**3 - 4 wrt o?
24*o**2
Let w(k) be the first derivative of k**7/21 - k**3/6 + 2*k - 3. Let u(o) be the first derivative of w(o). Find the second derivative of u(h) wrt h.
40*h**3
Let f(o) be the first derivative of -o**5/5 + 13*o - 2. What is the first derivative of f(l) wrt l?
-4*l**3
Suppose 3*f = 4*x - 15, x - 3*f = f + 7. Let i(t) = -t**2 + 8*t - 4. Let j be i(7). What is the derivative of -5*p**3 + 0*p**j + 4*p**x + 2 wrt p?
-3*p**2
Let m(v) be the second derivative of -v**7/105 + v**3/2 + v**2/2 - 3*v. Let c(t) be the first derivative of m(t). Differentiate c(l) with respect to l.
-8*l**3
Find the second derivative of 65*m**2 - 58*m**2 + 15*m + 6*m wrt m.
14
Let m be (3/4)/(2/16). Let b(t) = t**2 - 7*t + 8. Let w be b(m). What is the third derivative of -o**2 - 2*o**3 + w*o**2 + 5*o**3 - 2*o**2 wrt o?
18
Let g(x) = 61*x**2 + 17*x - 4. Let l(w) = -20*w**2 - 6*w + 1. Let s(v) = 6*g(v) + 17*l(v). What is the derivative of s(r) wrt r?
52*r
Suppose -6*f = -2*f - 24. Let g = f - 2. Find the second derivative of -8*u**4 + 2*u + 12*u**g + 0*u wrt u.
48*u**2
Let t(b) be the third derivative of b**7/1008 - b**6/240 + b**5/60 - 3*b**2. Let s(n) be the third derivative of t(n). Differentiate s(o) with respect to o.
5
Suppose 2*h + 5*v - 12 = 3*v, 0 = 2*v - 6. Find the third derivative of h*p**5 + 6*p**5 - 4*p**5 - 5*p**2 wrt p.
300*p**2
Let s(k) be the third derivative of 0*k**4 + 0 + 4*k**2 + 0*k**5 + 1/2*k**3 + 0*k**6 + 1/70*k**7 + 0*k. What is the first derivative of s(l) wrt l?
12*l**3
Let b(n) be the third derivative of 5/24*n**4 - 4*n**2 + 0 + 0*n + 1/2*n**3. What is the first derivative of b(x) wrt x?
5
Let i(l) = 14*l**2 + 2*l + 19. Let b(w) = -41*w**2 - 7*w - 56. Let v(u) = 2*b(u) + 7*i(u). Find the first derivative of v(k) wrt k.
32*k
Let y(x) be the second derivative of 0*x**6 + 1/4*x**4 + 0*x**3 + 0*x**2 + 0 + 0*x**7 + 0*x**5 - 3*x - 5/56*x**8. Find the third derivative of y(k) wrt k.
-600*k**3
Let m(s) = 3*s**3