4
Find the first derivative of -16 - 113*w**2 + 113*w**2 + 16*w**3 wrt w.
48*w**2
Let p(h) = -39*h**2 - 87*h - 9. Let n(m) = 19*m**2 + 44*m + 4. Let u(k) = -9*n(k) - 4*p(k). What is the second derivative of u(v) wrt v?
-30
Let j(p) = 5*p**4 - 4*p**2 - p. Let f(z) = -6*z**4 + 5*z**2 + z. Let d(m) = 4*f(m) + 5*j(m). What is the second derivative of d(x) wrt x?
12*x**2
Suppose -4*f - 47 = -5*a, -5*f = -2*a + a + 22. Let u be 16/a + (-2)/7. Find the third derivative of -t**6 + 2*t**6 - t**u - 2*t**2 wrt t.
120*t**3
Let x(f) = -7*f**3 + 24*f**2 + 8. Let o(d) = 5*d**3 - 16*d**2 - 5. Let w(m) = 8*o(m) + 5*x(m). Find the third derivative of w(b) wrt b.
30
Suppose 3*m + 3 + 0 = 3*u, m + 5 = 2*u. Suppose m*b - 18 - 3 = 4*f, -b = 5*f + 12. What is the derivative of 5 + 0*q**2 - b - q**2 wrt q?
-2*q
What is the third derivative of 14*a**6 - a**2 - 13*a**6 - 4*a**2 wrt a?
120*a**3
Let c(k) = -3*k**2 + 7*k. Let s(m) be the first derivative of 3*m**3 - 10*m**2 + 2. Let g(x) = 17*c(x) + 6*s(x). Find the second derivative of g(j) wrt j.
6
Suppose 3*t + 3 + 3 = 0. Let g be 0/(-1 + t + 5). Find the third derivative of 0*b**2 - b**5 - 2*b**2 + g*b**5 wrt b.
-60*b**2
Let t(q) be the second derivative of q**4/6 - q**2 + 3*q. Let n be t(2). What is the third derivative of 5*u**3 - 2*u**2 + n*u**5 - 4*u**5 - 5*u**3 wrt u?
120*u**2
Suppose 3*u - 14 - 13 = 0. Find the second derivative of 4*n**4 + 3*n**4 - u*n**4 - 5*n wrt n.
-24*n**2
Let w(q) be the first derivative of 7*q**6/2 - 13*q**3/3 + 2. What is the third derivative of w(z) wrt z?
1260*z**2
What is the second derivative of 46*y + 0 - 21*y + 0 + 12*y**5 wrt y?
240*y**3
Let w(m) = -m**2 + 9*m + 3. Let b be w(9). Find the second derivative of 0*t**3 + 5*t**3 + 0*t**3 + 3*t - 4*t**b wrt t.
6*t
Let q(p) be the third derivative of 11*p**6/120 - p**4/24 - 7*p**2. What is the second derivative of q(z) wrt z?
66*z
Let n = 42 + -40. Let c(m) be the second derivative of -n*m + 0 - 1/6*m**3 - m**2. Find the first derivative of c(k) wrt k.
-1
Suppose -19 = -3*w - 2*s, w - 2*w - 3*s = 3. Let z be (-1 + 4)*24/w. What is the third derivative of 6*j**2 - 3*j**5 - j**2 - z*j**2 wrt j?
-180*j**2
Let d be 37/7 + 2/(-7). Find the third derivative of -2*x**2 + 0*x**5 + 3*x**2 - 5*x**2 - x**d wrt x.
-60*x**2
Let x(y) be the first derivative of 2*y**5 - y**5 + 0*y**5 + y**3 + 3 + 1. Find the third derivative of x(j) wrt j.
120*j
Let x(u) be the second derivative of 0*u**3 - 1/3*u**4 + 0 - u**2 + 2*u. What is the derivative of x(n) wrt n?
-8*n
Suppose -15 + 3 = -2*i. What is the third derivative of 2*u**2 + 2*u**i + u**6 + u**2 - 2*u**2 wrt u?
360*u**3
Let j(l) = 6*l + 9. Let f(y) = -4*y + 0 - 4 - 8*y + 9*y. Let n(s) = -5*f(s) - 3*j(s). What is the first derivative of n(i) wrt i?
-3
Let n(f) be the second derivative of -f**6/36 - f**4/8 + f**3 - 7*f. Let d(w) be the second derivative of n(w). Differentiate d(s) with respect to s.
-20*s
Let n = 3 - -3. Let v(x) = -x + 1. Let h(y) = 2*y**4 + 3*y**2 - 6*y + 6. Let k(o) = n*v(o) - h(o). What is the third derivative of k(z) wrt z?
-48*z
Differentiate -4*k**3 + 14 - 5*k**3 - k**3 with respect to k.
-30*k**2
What is the second derivative of -g**2 - 6 + 10*g + 6 + 11*g wrt g?
-2
Suppose 0 = 2*b - 4 - 6. Suppose n - 22 = -b*l, 0*n - 2*l - 8 = -2*n. Find the second derivative of -2*f**3 - f + 7 - n wrt f.
-12*f
Let s(z) = -z - 10. Let j be s(-12). Let l(r) be the third derivative of 1/24*r**4 + 0 + r**j + 0*r - 1/3*r**3. What is the derivative of l(w) wrt w?
1
Let v(d) be the third derivative of 3*d**2 + 0*d**5 + 0 + 0*d**4 + 0*d**6 + 2/3*d**3 + 0*d + 2/105*d**7. Differentiate v(h) with respect to h.
16*h**3
Let w(d) be the third derivative of 5*d**9/126 + 9*d**5/20 + 22*d**2. Find the third derivative of w(l) wrt l.
2400*l**3
What is the third derivative of 6*t**2 + 9*t**5 + 0*t**2 - 4*t**2 + 14*t**2 wrt t?
540*t**2
Let i be (-190)/(-40) - (-2)/8. Find the second derivative of 6*v**i + 6*v - 5*v**5 + 4*v**5 wrt v.
100*v**3
Differentiate 8*j**4 + 20*j**2 - 8 - 9*j**2 - 11*j**2 wrt j.
32*j**3
Let r(a) = -a**4 - a**3 + a**2 + a. Let b(p) = -p**4 + 4*p**3 - 4*p**2 - 18*p. Let w(q) = -b(q) - 4*r(q). What is the second derivative of w(o) wrt o?
60*o**2
Let x(u) be the second derivative of -u**8/960 + u**5/60 - u**4/6 - 2*u. Let i(f) be the third derivative of x(f). What is the derivative of i(j) wrt j?
-21*j**2
Let x(v) = -v + 7. Let m be x(7). Find the third derivative of -3*h**6 + m*h**2 - 4*h**2 + 2*h**2 wrt h.
-360*h**3
Let q = -17 + 29. Suppose g - q = -3*g. What is the second derivative of x**2 - 3*x**2 + 2*x - g*x wrt x?
-4
Let q(i) be the second derivative of i**4 - 5*i**2 + 12*i. Differentiate q(v) with respect to v.
24*v
Find the third derivative of -1 + 16*h**2 + 1 - 22*h**3 + 7*h**2 wrt h.
-132
Suppose 4*p = -7 - 13, -c - 3*p - 13 = 0. Differentiate -c*r**4 - 5 + 2 + 9*r**4 - 2*r**4 with respect to r.
20*r**3
Suppose 8 = 3*y - 1. What is the derivative of -2 - 6*s**y + 3 + 3*s**3 wrt s?
-9*s**2
Suppose 3*b + 2*d = 6, -2 + 6 = 2*b - 4*d. What is the third derivative of -2*q**5 + 3*q**5 - 4*q**5 + q**2 + b*q**5 wrt q?
-60*q**2
Let s(f) be the third derivative of f**6/30 - 3*f**4/8 + 2*f**2 + 16*f. Find the second derivative of s(g) wrt g.
24*g
Let q(f) be the second derivative of f**4/12 - 5*f**3/6 - f. Find the second derivative of q(r) wrt r.
2
Suppose 4*h - 4 = 4. Differentiate 3*c**2 + 1 + 3*c**2 - 4*c**h wrt c.
4*c
Let o(z) = -z**3 - z**2 + z - 1. Let a(r) = -3*r**3 - 4*r**2 + 4*r - 14. Let m(k) = -a(k) + 4*o(k). What is the first derivative of m(t) wrt t?
-3*t**2
Find the first derivative of y - y - 3 + 2*y**2 + 2*y**2 wrt y.
8*y
Let h(b) be the second derivative of 2*b**2 + 0 - 3*b - 1/2*b**3. What is the derivative of h(f) wrt f?
-3
Let z(q) = q**2 - 6*q + 9. Let f be z(6). Suppose c - 4*o - 9 = 0, 5*c - o = 17 + f. Find the third derivative of -8*x**6 - 2*x**2 - c*x**6 + 11*x**6 wrt x.
-240*x**3
Let w(i) = -i**3 + 8*i**2 + 2*i - 9. Let a be w(8). Find the second derivative of -a*m - 4*m**4 + 4*m + 6*m wrt m.
-48*m**2
Let p(o) be the first derivative of -2*o**3/3 + 3*o + 2. Let q(z) = -z**2 + 1. Let l(g) = -2*p(g) + 5*q(g). What is the first derivative of l(r) wrt r?
-2*r
Let m(x) = -x**2 + 4*x + 2. Suppose 6*y - y - 20 = 0. Let d be m(y). Find the second derivative of -6 + 3*w - d*w**4 + 6 wrt w.
-24*w**2
Differentiate b - 94*b**4 - 7 - b + b**2 + 93*b**4 wrt b.
-4*b**3 + 2*b
Let b(i) = i**2 - 8*i + 9. Let s be b(7). Suppose 2 = -0*o + o. Find the third derivative of -2*j**6 - 3*j**o + 0*j**s + 4*j**2 wrt j.
-240*j**3
Let w(c) be the first derivative of c**9/168 + c**5/30 + 3*c**2/2 - 4. Let t(x) be the second derivative of w(x). Find the third derivative of t(j) wrt j.
360*j**3
What is the second derivative of 0*b - b + 5*b**5 - 5*b wrt b?
100*b**3
Let b(g) be the second derivative of -g**3/6 - 2*g**2 - 7*g. Differentiate b(t) with respect to t.
-1
Let q(s) = -2*s + 5. Let x be q(1). Let i(o) be the second derivative of x*o + 1/3*o**3 + o**2 + 0. Differentiate i(v) with respect to v.
2
Let r(p) be the third derivative of p**6/20 - p**5/10 - 7*p**2. What is the third derivative of r(m) wrt m?
36
Find the second derivative of 2*l**2 - 126 + 123 - 2*l**3 + 31*l**2 - 8*l wrt l.
-12*l + 66
Let f(v) be the first derivative of -v**4/4 + 11*v**3/3 - v**2 + 5*v - 21. Find the second derivative of f(r) wrt r.
-6*r + 22
Let k(j) = -j - 7. Let p(h) be the third derivative of -2*h**2 + 0 + 1/2*h**3 + 0*h. Let s(o) = -2*k(o) - 5*p(o). Find the first derivative of s(q) wrt q.
2
Let h(y) = -3*y**3 + 9*y - 19. Let g(c) = -c**3 + 4*c - 9. Let f(i) = 9*g(i) - 4*h(i). Differentiate f(k) wrt k.
9*k**2
Let p(b) be the second derivative of b**8/168 + b**5/30 - 3*b**2/2 - b. Let x(u) be the first derivative of p(u). What is the third derivative of x(n) wrt n?
120*n**2
Let b(z) be the second derivative of -z**6/120 - z**3 + 3*z**2 + z. Let r(v) be the first derivative of b(v). What is the first derivative of r(a) wrt a?
-3*a**2
Differentiate 10*o**2 - 2*o**2 - 4 - 8*o**2 - 18*o**4 wrt o.
-72*o**3
Let q(w) be the first derivative of 15*w**7/7 + 23*w**3/3 - 18. What is the third derivative of q(o) wrt o?
1800*o**3
Let b(x) = -x + 8. Let u(v) = 3*v**2 + 4*v + 2. Let g be u(-2). Let n be b(g). Find the s