m
Let s(v) be the first derivative of v - 3/2*v**2 + 3. Differentiate s(f) wrt f.
-3
Let z(n) be the second derivative of -n**7/6 + n**3 + 4*n. Find the second derivative of z(m) wrt m.
-140*m**3
Let c(u) be the second derivative of -u**6/30 + u**3/6 - u**2/2 - u. Let w(z) be the first derivative of c(z). What is the derivative of w(s) wrt s?
-12*s**2
Suppose 0 = -2*f - f. Let w = 4 - 2. What is the first derivative of f*b**2 - w*b**3 + 0*b**2 + 1 wrt b?
-6*b**2
Let c be (-18)/4 + (-1)/(-2). Let y = c - -9. What is the second derivative of 5*n**2 - y*n**2 - 2*n**4 + n wrt n?
-24*n**2
Let d = -10 + 16. Let p = 9 - d. Find the third derivative of 6*u**2 + 7*u**3 - 6*u**3 - p*u**2 + 0*u**3 wrt u.
6
Let a(h) = 3*h**3 - h**2 - 4. Let n(m) = 1. Let u be (6/9)/((-4)/(-6)). Let q(x) = u*a(x) + 4*n(x). What is the third derivative of q(j) wrt j?
18
Let v(o) = -o - 1. Let r(x) = 19*x**3 + 31*x**2 + 3*x + 3. Let g(l) = r(l) + 3*v(l). What is the third derivative of g(i) wrt i?
114
What is the third derivative of 3*q**5 + 14*q**5 + 14*q**2 + 19*q**5 - 10*q**5 wrt q?
1560*q**2
Let d(k) be the first derivative of -k**6 - 5*k**2/2 - 1. What is the second derivative of d(b) wrt b?
-120*b**3
Let x(c) = -16*c**3 - 5*c**2 - 13. Let h(r) = -r**2 - 1. Let n(t) = -h(t) + x(t). What is the third derivative of n(o) wrt o?
-96
Suppose 2 = -a + 5. What is the derivative of 4 + 12*i**4 - a*i**4 - 5*i**4 wrt i?
16*i**3
Suppose 0 = -t + 3*j + 12, -t - 2*j = 3*j + 4. Suppose 2*r + r = t. Differentiate -3 + 2*m**3 + r + 0*m**3 with respect to m.
6*m**2
Let f(q) be the second derivative of 7*q**4/6 + 21*q**2/2 - 9*q. Find the first derivative of f(n) wrt n.
28*n
Find the second derivative of 31*j**4 + 35*j - 14*j - 17*j**4 wrt j.
168*j**2
Let f be 16/6*9/6. What is the second derivative of -g + 2*g**4 + 0*g + 2*g**4 - 5*g**f wrt g?
-12*g**2
Let g(z) be the first derivative of 0*z**3 - 7/2*z**2 - 1 + 0*z + 0*z**4 + 2/5*z**5. What is the second derivative of g(r) wrt r?
24*r**2
What is the third derivative of -2*r**2 + 0*r**2 + 0*r**3 - 4*r**2 - 9*r**3 wrt r?
-54
Let h = 3 - 1. Find the second derivative of h - 2 + 0*k**3 - 3*k**3 - 2*k wrt k.
-18*k
Let u be (88/66)/(-4*(-1)/9). Let v(m) be the second derivative of -1/3*m**4 + 0 + 0*m**2 - 1/6*m**3 - u*m. Find the second derivative of v(n) wrt n.
-8
Suppose -4*l + 138 = -2*t, 5*l - 3*t = 4*l + 42. Let a be (-1)/5 + l/15. Differentiate 5 - 1 + h - a wrt h.
1
Let f be (-9 + 6)*(-2 - -1). Find the second derivative of -4*a**2 + 9 - f*a - 9 wrt a.
-8
Let q(w) be the second derivative of -w**9/3780 + w**7/2520 - w**4/3 - w. Let v(s) be the third derivative of q(s). Find the third derivative of v(d) wrt d.
-96*d
Let y(b) be the first derivative of 6*b**4 + 18*b - 41. What is the first derivative of y(v) wrt v?
72*v**2
Let x(z) be the first derivative of -6*z**5/5 - z + 2. Differentiate x(a) wrt a.
-24*a**3
Suppose -1 = -15*c + 14*c. Let f(m) be the first derivative of 0*m**3 + 0*m + m**2 - 1/2*m**4 + c. What is the second derivative of f(q) wrt q?
-12*q
Let p = 3 - 1. Suppose -k = -0*k - p. What is the third derivative of -k*l**2 + 2*l**2 - 2*l**5 - 2*l**2 wrt l?
-120*l**2
Let b(r) be the third derivative of 11*r**7/210 - 11*r**4/24 - 6*r**2. What is the second derivative of b(w) wrt w?
132*w**2
Suppose -4*w - 3*k = -2*w - 6, 4*k = -4*w + 8. Find the second derivative of -l - 2*l + 0*l + w*l**2 + 3*l**2 wrt l.
6
Let w(x) = x**3 + 2*x**2 - 1. Let g be w(-1). Find the third derivative of 2*u**2 + u**4 + g*u**2 + 4*u**4 wrt u.
120*u
Let b(p) = -p - 8. Let l be b(-6). Let k = l + 4. What is the third derivative of -2 - 2*a**2 - a**3 + k wrt a?
-6
Let f(j) be the first derivative of j**7/105 - j**3/6 + j**2/2 - 1. Let t(p) be the second derivative of f(p). What is the first derivative of t(h) wrt h?
8*h**3
Let u(j) = -j**5 - j**3 + 1. Let g(a) = -2*a**3 - 18*a**2 + 3*a + 14. Let b(m) = -g(m) + 2*u(m). Find the second derivative of b(q) wrt q.
-40*q**3 + 36
Let s(h) = 2*h**2 - h - 1. Let w(n) = 28*n**2 - 3*n - 3. Let p(r) = 6*s(r) - w(r). What is the second derivative of p(d) wrt d?
-32
Let b(p) = -p + 1. Let a be b(1). Let v = 4 - a. What is the second derivative of 0*l + 0*l**4 - l**v - l wrt l?
-12*l**2
Let k(l) be the first derivative of l**7/70 - l**4/24 + l**2/2 + 1. Let d(v) be the second derivative of k(v). Find the second derivative of d(o) wrt o.
36*o**2
Suppose -2*k = -3 - 3. What is the second derivative of 7*f**3 - f**k - 11*f**3 + 2*f wrt f?
-30*f
What is the third derivative of 115*i**3 + 13*i**2 - 6*i**5 - 115*i**3 wrt i?
-360*i**2
Let t(w) = -w**2. Let y(z) be the first derivative of 0*z**2 + 3 + 2/3*z**3 + 0*z - 1/2*z**4. Let g(o) = -t(o) + y(o). Find the third derivative of g(s) wrt s.
-12
Let c(z) be the first derivative of -2*z**7/21 - z**4/6 - 3*z + 3. Let k(o) be the first derivative of c(o). What is the third derivative of k(g) wrt g?
-240*g**2
Let z(p) = p + 1. Let b(i) = -14*i**3 - 2*i - 4. Let m(r) = -b(r) - 4*z(r). What is the second derivative of m(h) wrt h?
84*h
Let n(i) be the third derivative of i**9/504 - i**7/21 + 11*i**5/20 + 4*i**2 - i. What is the third derivative of n(w) wrt w?
120*w**3 - 240*w
Suppose 3*m + 0*z - 15 = 2*z, -5*m + 30 = -5*z. What is the second derivative of m*a**2 - 2*a**2 - a**2 + a**2 - a wrt a?
2
Let n be (0*3/18)/(-6). Let m(o) be the first derivative of o**2 + 0*o**3 - 1 + n*o + 3/4*o**4. What is the second derivative of m(h) wrt h?
18*h
What is the third derivative of -8*r**2 - 2*r**3 + r**2 + r**3 wrt r?
-6
Suppose 8 = 8*q - 4*q. What is the first derivative of w**4 - q - 4*w**3 + 4*w**3 wrt w?
4*w**3
Let h(y) = -3*y**4 + 8*y**2 + 4*y + 53. Let o(i) = -6*i**4 + 17*i**2 + 9*i + 107. Let d(q) = -9*h(q) + 4*o(q). Differentiate d(r) wrt r.
12*r**3 - 8*r
Let g(t) be the first derivative of -4*t**2 - 24*t + 10. What is the derivative of g(d) wrt d?
-8
Let x(s) be the second derivative of -9*s**6/10 - 5*s**3/3 + 23*s. What is the second derivative of x(n) wrt n?
-324*n**2
Suppose -2*u + t + 4 = -0*u, -2 = -2*u + 2*t. Let s be 7/u + (-2)/6. Find the first derivative of 3*o - o - s*o + o**2 - 1 wrt o.
2*o
Let p(u) be the third derivative of u**7/210 - u**5/15 - 6*u**2. Find the third derivative of p(w) wrt w.
24*w
Let i be 3*(2 - (0 + -3)). Suppose -3*n - 2*n + i = 0. Find the third derivative of 3*j**2 + 8*j**n - 6*j**3 - j**2 wrt j.
12
Differentiate k**4 - 3*k**3 + 3*k**3 + 7 with respect to k.
4*k**3
Let b = 0 + 2. Find the third derivative of b*a**3 + 3*a**3 - 2*a**3 - 3*a**2 wrt a.
18
Let h(n) be the second derivative of 3*n**6/10 + 5*n**4/12 - 17*n. Find the third derivative of h(m) wrt m.
216*m
Suppose -6*y + 3*y + 6 = 2*o, 4*y = 3*o - 9. Suppose -o*t = -5*k, -2*k - k = 2*t - 19. Find the first derivative of -3*p**4 - p**3 + p**k - 1 + p**4 wrt p.
-8*p**3
Let y(z) be the first derivative of 0*z + 2*z**2 - 2 + 0*z**3 - 4/5*z**5 + 0*z**4. Find the second derivative of y(r) wrt r.
-48*r**2
Let c(d) = -d**3 + 2*d**2 + 2. Let a(m) = 3*m**3 - 5*m**2 - 4. Suppose 25 = 5*o, -3*y + 5*o - 42 = -11. Let l(k) = y*a(k) - 5*c(k). Differentiate l(v) wrt v.
-3*v**2
Let k(l) be the first derivative of 0*l**3 - 1/2*l**2 + 0*l + 3 + 1/2*l**4. What is the second derivative of k(s) wrt s?
12*s
Suppose -17 = -3*x - 5. What is the first derivative of 0 - 3 + 3*k**2 + x + 1 wrt k?
6*k
Let c(x) be the third derivative of -x**5/60 - x**3/6 - x**2. Let o(v) = 3*v**2 + 3. Let r(q) = 7*c(q) + 2*o(q). Differentiate r(b) wrt b.
-2*b
Find the second derivative of -8*q + 9*q + 2*q**2 + q**2 + 10*q wrt q.
6
Let x(h) be the third derivative of 17*h**7/210 - 3*h**5/20 - 11*h**2. What is the third derivative of x(a) wrt a?
408*a
Find the second derivative of 5667*j**2 - 5686*j**2 + 10*j + j**3 - 53*j wrt j.
6*j - 38
Let k(w) be the first derivative of 16*w**5/5 + 23*w - 21. Differentiate k(z) with respect to z.
64*z**3
Find the third derivative of 9*u**6 + 4*u**6 - 11*u**6 + 7*u**2 wrt u.
240*u**3
Let q(w) be the third derivative of 3*w**6/40 - 4*w**5/15 - 19*w**2. What is the third derivative of q(r) wrt r?
54
Let l(b) = b**2 - 1. Suppose 6*d - 5*d = 6. Let p(y) = -8*y**2 - 5*y + 6. Let j(r) = d*l(r) + p(r). What is the second derivative of j(o) wrt o?
-4
Let g(p) be the third derivative of -3*p**6/40 + 5*p**3