- 3. Find the first derivative of -2*b - 7 + 3 + f*b**2 + 2*b wrt b.
10*b
Let s(w) be the second derivative of 0*w**2 + 0 - 3*w - 1/6*w**3 + 1/6*w**4. Find the second derivative of s(z) wrt z.
4
Let g(d) = 5*d**2 + 22. Let s(u) = -5*u**2 - 23. Let n(y) = -7*g(y) - 6*s(y). Find the first derivative of n(x) wrt x.
-10*x
Let f(l) = -l**4 - 9*l + 4. Let s(q) = -5*q**4 - 35*q + 15. Let w(o) = 15*f(o) - 4*s(o). What is the second derivative of w(n) wrt n?
60*n**2
Let m(y) = -12*y**2 + 2. Let n(i) = 8*i**2. Let f be n(-1). Let d(a) = -a**2. Let z(p) = f*d(p) - m(p). What is the first derivative of z(q) wrt q?
8*q
Let j(a) be the first derivative of -10*a**3/3 - 21*a - 17. Differentiate j(v) with respect to v.
-20*v
Let y = -4 + 4. Let g(u) = u**3 + u**2 - u + 3. Let x be g(y). What is the second derivative of l - 3*l - 5*l**x + 4*l**3 wrt l?
-6*l
What is the derivative of -68 - 2*y**4 + 82 - 8*y**4 wrt y?
-40*y**3
Let w(j) be the first derivative of 2*j**4 + 9*j**2/2 + 6. What is the second derivative of w(h) wrt h?
48*h
Let v(y) be the third derivative of 0*y**4 + 0*y**5 - 3*y**2 + 0*y + 1/6*y**3 + 0 + 1/120*y**6. Find the first derivative of v(z) wrt z.
3*z**2
Let u(t) be the second derivative of 0 + 4*t + 2*t**2 - 7/6*t**3. What is the first derivative of u(m) wrt m?
-7
Let m(t) be the third derivative of 0*t**5 - 1/30*t**6 + 0 + 0*t**4 - t**3 + 0*t - 4*t**2. Differentiate m(c) wrt c.
-12*c**2
Suppose 0 = 3*h - h. Suppose f = 5*w + 2, 7*f - 2*f + 5*w - 10 = h. What is the first derivative of 2*c + 11*c**f - 13*c**2 - 2*c + 1 wrt c?
-4*c
Let m(w) be the third derivative of 5*w**8/112 + 17*w**5/60 + 7*w**2. Find the third derivative of m(c) wrt c.
900*c**2
Differentiate 43*p - 43*p - 2 - 4*p**4 with respect to p.
-16*p**3
Let n be 1*(11 - -2) + -3. Find the third derivative of -4*f**2 + 6*f**5 + 0*f**4 + 0*f**4 + n*f**2 wrt f.
360*f**2
Let z(i) be the first derivative of -3 + 0*i**2 + 0*i + 0*i**4 + 0*i**5 + i**7 - 8/3*i**3 + 0*i**6. What is the third derivative of z(q) wrt q?
840*q**3
Let s(d) = -7*d**3 + 12*d - 4. Let z(w) = 7*w**3 - 12*w + 3. Let y(u) = 3*s(u) + 4*z(u). What is the second derivative of y(k) wrt k?
42*k
Let p(k) = k**2 + k + 1. Let f(m) = 0 + 2*m - 5*m**2 + 3*m**2 + 1. Let t(z) = f(z) - 2*p(z). What is the first derivative of t(l) wrt l?
-8*l
Suppose 3*o = 3*b + 2*b, -o = -3*b. Let m(t) be the first derivative of 0*t**4 + 0*t**2 + b*t**3 + t + 2 - 2/5*t**5. Find the first derivative of m(d) wrt d.
-8*d**3
Suppose -4*s - t = -29, -4*s + t + 19 = -0*t. Find the third derivative of 6*h**4 - s*h**2 - 7*h**4 + 2*h**2 + 2*h**2 wrt h.
-24*h
Let g(k) be the third derivative of -k**6/24 + 7*k**3/2 + 8*k**2. What is the first derivative of g(p) wrt p?
-15*p**2
Suppose 0*h + 6 = 2*h. Suppose -h*w + 3 = -3. What is the second derivative of -6*t**2 + t**2 - 4*t**2 + 4*t + 5*t**w wrt t?
-8
Let a(c) be the third derivative of -c**4/12 + c**3/2 + 7*c**2. Differentiate a(w) wrt w.
-2
Let j = -5 + 7. Suppose 3*s = 10 + j. Let f(l) = -l**2 + 3*l + 4. Let x(v) = v + 1. Let n(a) = s*x(a) - f(a). Find the second derivative of n(y) wrt y.
2
Suppose 2*i = -u - 3*u + 10, 0 = 5*i + 5*u. Let r = i + 7. Find the second derivative of 7*q**r - 4*q**4 - 3*q**2 - 4*q**2 - q wrt q.
-48*q**2
Let r(p) be the second derivative of 25*p**4/12 - 11*p**3/2 - 11*p. What is the second derivative of r(l) wrt l?
50
Let s(k) = -16*k - 4. Let h(a) = 5*a + 1. Let r(p) = -20*h(p) - 6*s(p). What is the derivative of r(z) wrt z?
-4
Let a(u) be the third derivative of -u**9/504 - 11*u**6/120 - 9*u**5/20 - 12*u**2. What is the third derivative of a(m) wrt m?
-120*m**3 - 66
Let s(i) be the second derivative of i**6/240 + i**5/40 - i**4/6 - i. Let r(u) be the third derivative of s(u). What is the derivative of r(a) wrt a?
3
Let z(r) = -33*r**3 - 62. Let t(w) = -11*w**3 - 21. Let j(v) = 8*t(v) - 3*z(v). What is the first derivative of j(o) wrt o?
33*o**2
Let x(i) = -i**5 - 2*i**4 - 2*i**3 + 2*i**2. Let d(q) = q**4 + q**3 - q**2 - q. Let z(h) = 2*d(h) + x(h). What is the second derivative of z(y) wrt y?
-20*y**3
Let k(t) be the third derivative of -29*t**4/24 + 19*t**3/6 + 9*t**2. What is the derivative of k(n) wrt n?
-29
Suppose -7*k + 12 = -3*k. Let o = 5 - k. Find the third derivative of -v**5 - v**5 - v**o + 5*v**5 wrt v.
180*v**2
Let o(t) be the first derivative of 0*t**2 + 2 + 1/3*t**3 + t. Differentiate o(r) wrt r.
2*r
Let i(g) = 2*g + 2. Suppose 5*x - 14 = 11. Let q(b) = 0*b + b + 3 + 3*b. Let c(u) = x*i(u) - 3*q(u). Find the first derivative of c(t) wrt t.
-2
Let h(l) = l**6 - l**4 - l. Let v(c) = 17*c**6 + 2*c**4 + 3*c**2 + 2*c - 11. Let q(f) = 2*h(f) + v(f). Find the third derivative of q(b) wrt b.
2280*b**3
Let v(f) = 5*f**3 - 5*f + 6. Let y = 14 + -13. Let r(a) = a - 1. Let i(g) = y*v(g) + 5*r(g). Find the first derivative of i(w) wrt w.
15*w**2
What is the derivative of 5*x - 24 + 4*x + 4*x wrt x?
13
Let t = 9 + -6. Let f(j) be the first derivative of j + 0*j**2 + 0*j**t + 0*j**4 - 2/5*j**5 + 2. Differentiate f(d) with respect to d.
-8*d**3
Let j(c) be the third derivative of 31*c**6/120 - 5*c**3/6 - 41*c**2. What is the derivative of j(u) wrt u?
93*u**2
Let c(o) be the first derivative of -o**2/2 + 8*o + 3. Let p be c(5). Find the first derivative of 3 - 5*q + 2*q + 3*q - p*q**3 wrt q.
-9*q**2
Find the second derivative of 3*f**2 + 2*f**2 + 6*f**2 - 4*f**2 - 3*f wrt f.
14
Suppose 2*a = r - 6*r + 12, -3*a + 3 = 0. What is the derivative of -10 - r*k + 5 + k - 2*k wrt k?
-3
What is the second derivative of 35 + q - 8 - 13 - q**4 wrt q?
-12*q**2
Let h(n) be the third derivative of 0 + 0*n**4 + n**2 + 1/15*n**6 + 0*n + 0*n**3 + 1/10*n**5. Find the third derivative of h(x) wrt x.
48
Let c = 10 - 10. Let q(w) be the third derivative of 0 + c*w - 1/3*w**3 + 0*w**4 - w**2 + 0*w**5 + 1/120*w**6. What is the first derivative of q(g) wrt g?
3*g**2
Suppose 0 = -10*w + 23 - 3. Let l(m) be the third derivative of 0*m**4 + 1/120*m**6 + 0*m**5 - m**w + 1/6*m**3 + 0*m + 0. What is the derivative of l(f) wrt f?
3*f**2
Let t be 1 + -1 + 7 + -4. Let u(q) = q**2 + 2*q - 4. Let y be u(-4). What is the second derivative of -g + 2*g**4 + t*g**y - 7*g**4 wrt g?
-24*g**2
Let s = 0 - -2. Suppose a - s = 2. Find the third derivative of -6*p**4 + 5*p**a + 3*p**4 - 3*p**2 wrt p.
48*p
Let b be (-1 - -2) + 5 + -1. Suppose b*j = -4*m + 1 + 27, -22 = -5*m - 3*j. Find the second derivative of 2*y - 3*y**3 - m*y**4 + 3*y**3 wrt y.
-24*y**2
Let s(o) be the second derivative of -o**8/56 - o**7/14 - 15*o**4/4 - 22*o. What is the third derivative of s(u) wrt u?
-120*u**3 - 180*u**2
Let m(n) = 2*n + 2. Let h(f) = 1. Let i(l) = 2*h(l) + m(l). Differentiate i(w) wrt w.
2
Let k(o) = -50*o + 7 + 21*o + 20*o. Let t(l) = 13*l - 10. Let g be -6 - (1 + 1 + -1). Let x(d) = g*k(d) - 5*t(d). What is the first derivative of x(z) wrt z?
-2
Let p = -14 + 14. Let n(y) be the first derivative of 0*y + p*y**5 + 0*y**2 + 1/3*y**3 + 0*y**4 + 1/6*y**6 - 2. What is the third derivative of n(a) wrt a?
60*a**2
Let p = 10 + 5. Let j = p - 10. Find the second derivative of -n**j + 0*n - n + 14*n**4 - 14*n**4 wrt n.
-20*n**3
Let p(t) = -3. Let i(h) = h. Let k(y) = -3*i(y) - p(y). Let m(z) = -4*z + 4. Let j(r) = 7*k(r) - 5*m(r). Differentiate j(u) wrt u.
-1
Let p(o) be the second derivative of -o**10/1680 + o**6/360 + o**3/3 + o. Let k(r) be the second derivative of p(r). What is the third derivative of k(d) wrt d?
-360*d**3
Let o(b) = 2*b - 19. Let h be o(14). What is the second derivative of 4*f**5 + h*f - 2*f - 3*f wrt f?
80*f**3
Find the first derivative of 25*f**2 - 12 - 63*f**2 + 1 wrt f.
-76*f
Let d(t) be the first derivative of 36*t**5/5 + t**2 - 44. Find the second derivative of d(l) wrt l.
432*l**2
Let q(t) = 3*t**2 - 2*t + 4. Let n(c) = -7*c**2 + 5*c - 9. Let g be (-2)/3*1*3. Let h = g + 0. Let x(o) = h*n(o) - 5*q(o). What is the derivative of x(l) wrt l?
-2*l
Let j(k) be the third derivative of k**9/8640 - k**6/180 + k**5/15 - 6*k**2. Let o(l) be the third derivative of j(l). Differentiate o(s) with respect to s.
21*s**2
Let y(n) be the second derivative of 4*n**7/21 - 3*n**3/2 + 7*n. What is the second derivative of y(o) wrt o?
160*o**3
Let c(k) be the second derivative of -3*k**5/5 - 5*k**4/12 + 14*k. What is the third