y(w) be the first derivative of 3 + 0*w**3 - 3/4*w**4 - 4*w + 0*w**2. Differentiate y(r) wrt r.
-9*r**2
Let b(a) be the first derivative of 2 + 0*a**3 + 3/5*a**5 + 0*a + 0*a**4 - 3/2*a**2. Find the second derivative of b(c) wrt c.
36*c**2
Let w(n) be the third derivative of 0 + 0*n - 1/8*n**4 + 0*n**5 + 0*n**6 + 0*n**3 + 0*n**7 - n**2 - 1/336*n**8. What is the second derivative of w(m) wrt m?
-20*m**3
Let c(n) be the second derivative of 0 - 2/3*n**3 + 0*n**4 - 2*n + 0*n**5 - 2/15*n**6 + 0*n**2. Find the second derivative of c(t) wrt t.
-48*t**2
Let r(f) be the first derivative of -f**6/360 + f**4/24 + 2*f**3/3 - 2. Let l(a) be the third derivative of r(a). What is the first derivative of l(z) wrt z?
-2*z
Let v(k) be the second derivative of k**6/30 - 7*k**4/6 + 11*k. What is the third derivative of v(s) wrt s?
24*s
Let i(a) be the second derivative of 3*a**5/4 - a**4/12 + 3*a. Find the third derivative of i(t) wrt t.
90
Let b(n) = 13*n**3 + 6*n**2 + 6*n. Let p(d) = -25*d**3 - 11*d**2 - 11*d + 1. Let r(c) = 11*b(c) + 6*p(c). Differentiate r(l) with respect to l.
-21*l**2
Find the second derivative of -19*a**5 + 22*a**4 - 35*a**4 + 13*a**4 + 2*a wrt a.
-380*a**3
Let y(l) be the second derivative of 0*l**4 + 1/3*l**3 + 1/42*l**7 + 0*l**2 + 0 + 0*l**5 - l + 0*l**6. Find the second derivative of y(f) wrt f.
20*f**3
Let u(h) = -13*h**2 + 3*h + 9. Let b(y) = -40*y**2 + 10*y + 26. Let i(s) = 3*b(s) - 10*u(s). What is the first derivative of i(n) wrt n?
20*n
Let v(a) be the first derivative of 2*a**7/105 - a**4/8 + 2*a**2 + 2. Let r(g) be the second derivative of v(g). What is the second derivative of r(i) wrt i?
48*i**2
Let d(o) be the second derivative of o**5/5 - o**4/12 + 4*o. Find the third derivative of d(k) wrt k.
24
Suppose -g - 25 = -6*g. What is the third derivative of c**3 - 3*c**3 - g*c**3 + 0*c**3 + 6*c**2 wrt c?
-42
Let w(u) = -u**2 - 5*u + 4. Let q be w(-5). Suppose -q*g - 3*n + 0*n = 7, -2*n - 18 = -4*g. Find the third derivative of 2*t**5 + t**5 - 2*t**5 - 2*t**g wrt t.
60*t**2
Let b(u) be the third derivative of 0*u**5 - 1/210*u**7 + 0*u - 2*u**2 + 0*u**3 + 0 + 1/24*u**4 + 0*u**6. Find the second derivative of b(q) wrt q.
-12*q**2
Let a(k) = 3 - 31*k + 13 - 2 + 23*k. Let t be (0 - -1)*(10 - -1). Let q(x) = -3*x + 5. Let y(j) = t*q(j) - 4*a(j). What is the derivative of y(c) wrt c?
-1
Let i(o) = 5 + 4*o + 2*o + o + 0*o. Let l(j) = 15*j + 9. Let f(z) = 5*i(z) - 2*l(z). Find the first derivative of f(d) wrt d.
5
Let h(q) = q - 2. Let f be h(6). Let t(c) be the first derivative of c - 2 + 0*c**2 - 1/2*c**f + 0*c**3. What is the first derivative of t(y) wrt y?
-6*y**2
Let j(r) be the first derivative of -5*r**6/6 - 5*r**3/3 - 20*r**2 - 2*r + 37. Find the second derivative of j(b) wrt b.
-100*b**3 - 10
Let x be (0 - 4/(-4)) + 3. What is the third derivative of -8*g**2 - g**6 + 7*g**2 + x*g**5 - 4*g**5 wrt g?
-120*g**3
What is the derivative of -10*p**3 + 7 + 0*p**3 + 9 - 6*p**3 wrt p?
-48*p**2
Let a be ((-15)/9 - -2)*12. Suppose -a*i + 8*i = 8. Find the third derivative of 2*x**3 + 2*x**3 - 4*x**3 - x**5 + 3*x**i wrt x.
-60*x**2
Let x(q) be the first derivative of 2*q**5 - 14*q**3/3 + 8. Find the third derivative of x(c) wrt c.
240*c
What is the third derivative of a**6 + 2*a**6 + 3*a**2 - a**2 wrt a?
360*a**3
Let z(t) be the third derivative of -t**8/56 + t**5/60 + 6*t**2. What is the third derivative of z(m) wrt m?
-360*m**2
Let j(q) be the third derivative of q**7/105 - q**5/15 - 8*q**2. Find the third derivative of j(r) wrt r.
48*r
Find the first derivative of -6*w**3 + 15*w - 15*w - 4 wrt w.
-18*w**2
Let k(f) = 4*f**3 + 3*f**2 + 3*f - 2. Let b(y) = -23*y**3 - 17*y**2 - 17*y + 13. Let s(v) = -6*b(v) - 34*k(v). What is the first derivative of s(q) wrt q?
6*q**2
What is the derivative of -77*s + 77*s + 3*s**2 - 6 wrt s?
6*s
Let y(a) be the second derivative of a**8/112 - a**4/8 + a**2 + 2*a. Let l(k) be the first derivative of y(k). Find the second derivative of l(q) wrt q.
60*q**3
Let q(s) = s**3 + 7*s + 2. Let h(v) = -1. Let b(z) = -2*h(z) - q(z). What is the second derivative of b(u) wrt u?
-6*u
Let l(i) = -i**2 - 1. Let h(u) = 12*u**2 - 9*u - 1. Let q(r) = h(r) - l(r). What is the second derivative of q(n) wrt n?
26
Differentiate -36 + 12 + 13*w + 13*w - 27 with respect to w.
26
Let s(k) be the second derivative of -k**4/12 - 5*k**3/3 - 9*k**2/2 + 2*k. Let m be s(-9). Find the third derivative of w**5 - 2*w**2 + 0*w**4 + m*w**4 wrt w.
60*w**2
Let z(f) be the second derivative of 0*f**2 + 6*f + 0 + 0*f**3 + 1/5*f**5 - 1/2*f**4. What is the third derivative of z(l) wrt l?
24
Let t(d) be the first derivative of 7*d - 5/2*d**2 + 6. Differentiate t(m) with respect to m.
-5
Suppose -4 = -4*m + 4. Find the third derivative of 4*a**2 + 3*a**5 - 2*a**m + 0*a**2 wrt a.
180*a**2
Suppose 0 = k - m - 2, -4*k + m + 40 = 5*m. Suppose -5*r = -2*r - 9. What is the third derivative of r*o**6 + 2*o**2 - 6*o**6 + 4*o**6 - 4*o**k wrt o?
-360*o**3
Find the third derivative of -y**5 - 3*y**2 - 2*y**2 - 9*y**5 - 3*y**2 wrt y.
-600*y**2
Let c(x) be the third derivative of -x**7/105 - x**6/20 + 5*x**3/6 + 23*x**2 - 1. Differentiate c(f) wrt f.
-8*f**3 - 18*f**2
What is the second derivative of -20*q + q**5 - 12*q - q - 12*q**2 + q**5 wrt q?
40*q**3 - 24
Let i(l) = 36*l**3 + 25*l**2 - 2*l - 2. Let b(h) = -71*h**3 - 49*h**2 + 5*h + 5. Let s(n) = -2*b(n) - 5*i(n). What is the third derivative of s(y) wrt y?
-228
Let n(q) be the third derivative of -1/10*q**5 + 0*q + 1/12*q**4 + 0*q**3 + q**2 + 0. Find the second derivative of n(y) wrt y.
-12
Suppose 2*l = 3*c - 3, 3*c = 4*l - 9*l + 3. Find the third derivative of -u**6 + l*u**2 - u**6 + 8*u**6 - 3*u**2 wrt u.
720*u**3
Suppose 0 = -7*o + 11*o - 12. Let d = 13 + -9. Find the third derivative of 0*c**2 - c**2 + 6*c**o - d*c**3 wrt c.
12
Suppose 0 = f + 5*a - 2*a + 9, -4*a = 4*f + 4. What is the second derivative of t - 2*t**f + 2*t**3 - t**5 - t**5 wrt t?
-40*t**3
What is the derivative of 16 + d**4 + 2*d**4 - 7*d**4 - 6*d**4 wrt d?
-40*d**3
Let k = 9 + -9. Find the second derivative of r**5 - 3*r + k*r**5 - r wrt r.
20*r**3
Let x(n) be the first derivative of -4*n + 4*n**2 + 0*n**2 - n - 3*n**2 - 2. What is the first derivative of x(y) wrt y?
2
Let g(m) be the third derivative of -m**6/5 + 25*m**4/24 + 32*m**2. Find the second derivative of g(k) wrt k.
-144*k
Let g = -3 - -5. Let z = g - -1. Find the second derivative of -2*q**z + q**5 + 2*q**3 - q wrt q.
20*q**3
Let h = -22/9 - -28/9. Let z(c) be the first derivative of 1/2*c**2 + 0*c - 3 + h*c**3. Find the second derivative of z(l) wrt l.
4
Suppose -b + 24 = 3*b. Let y(f) = -3*f**4 - 4. Let x(c) = -3*c**4 - 3. Let r(h) = b*x(h) - 5*y(h). Differentiate r(w) with respect to w.
-12*w**3
Let l(r) be the second derivative of -1/12*r**4 + 0*r**5 + 2*r - 1/15*r**6 + 0*r**3 + 0 + 0*r**2. What is the third derivative of l(i) wrt i?
-48*i
Suppose 0 = -3*k + 2*m - 7*m + 11, -5*k - m + 11 = 0. Suppose 0 = -k*s + 4*s - 6. Find the third derivative of -2*o**2 - s*o**3 - o**3 + 6*o**3 wrt o.
12
Let f be 1 + 4 + 0/(4 + -2). Let w(s) be the first derivative of 0*s + 1/5*s**f + 1 + 0*s**3 - 3/2*s**2 + 0*s**4. What is the second derivative of w(b) wrt b?
12*b**2
Let x = -40 + 28. Let q = 18 + x. Differentiate 1 - q - c + 3 wrt c.
-1
Let p(k) = -k - 1. Let i(t) = 24*t + 24. Let r(o) = -i(o) - 8*p(o). Differentiate r(h) with respect to h.
-16
Let u(k) be the second derivative of 1/12*k**4 + 0*k**2 + 0 - 1/3*k**3 - k. Find the second derivative of u(y) wrt y.
2
Let j(s) = -5*s**3 + 5*s**2 - 2. Let m(g) = -5*g**3 + 6*g**2 - 1. Let h(d) = 6*j(d) - 5*m(d). What is the first derivative of h(n) wrt n?
-15*n**2
Let u(j) be the third derivative of j**6/60 - j**4/4 - 19*j**2. What is the second derivative of u(n) wrt n?
12*n
Let x = 4 + 10. Let o be (x/(-3))/((-2)/3). What is the third derivative of 9*w**2 + 0*w**6 + 2*w**6 - o*w**2 wrt w?
240*w**3
Let l(i) be the first derivative of 5*i**3/3 + i + 2. Find the first derivative of l(a) wrt a.
10*a
Let a(q) be the third derivative of 0*q + 4*q**2 - 1/30*q**5 + 0*q**4 + 0 + 0*q**3 - 1/105*q**7 + 0*q**6. What is the third derivative of a(o) wrt o?
-48*o
Suppose -5*t + 0 = 5*v + 10, -2*v - t = -1. What is the derivative of -21*g**v + 8*g**3 