0*d + h*d**4 wrt d?
72*d**2
Differentiate 20*g**2 + 27 - 32 + 36 with respect to g.
40*g
Let c(b) = b**4 + b**3 + b**2 - b - 1. Let s(i) = -45*i**4 - 6*i**3 - 6*i**2 + 8*i - 6. Let m(z) = -6*c(z) - s(z). Find the first derivative of m(q) wrt q.
156*q**3 - 2
Find the first derivative of -95*p**4 + 32 - 3*p**2 + 3*p**2 + 98*p**4 wrt p.
12*p**3
Suppose 4*z + 12 = -f - 5, 0 = -4*f - 4*z - 20. Let m be (-16)/(-5) + f/5. Differentiate 3 + 0*t**3 + 0 + m*t**3 - 4 wrt t.
9*t**2
Let n(d) = -d**3 - 9*d**2 - 7*d + 8. Let a be n(-8). Let z be (a - -1)*12/4. What is the second derivative of -z*f - f + 5*f - 4*f**4 + 3*f**4 wrt f?
-12*f**2
Let h(g) = -8*g + 7. Let i(c) = -9*c + 6. Suppose 2 = m + 7. Let u(l) = m*h(l) + 4*i(l). What is the derivative of u(z) wrt z?
4
Let m(i) = 14*i**4 - 2*i**2 + 7*i + 2. Let n(w) = 27*w**4 - 5*w**2 + 13*w + 5. Let k(f) = -5*m(f) + 2*n(f). What is the second derivative of k(u) wrt u?
-192*u**2
Let t(u) be the first derivative of 3*u**4 - 12*u + 13. Find the first derivative of t(y) wrt y.
36*y**2
Let a = -3 - -3. Suppose a = -4*o - 6 + 18. Find the first derivative of -1 + s**o + 6 - 3 wrt s.
3*s**2
Suppose 5*r = -3*t + 26, 0 = -5*r + 4*t + 23 + 24. Find the second derivative of 0*d**3 - r*d + 15*d + 4*d**3 wrt d.
24*d
Let j(h) = h + 6. Let a be j(-4). Suppose -c = -a*c. Differentiate -2*y + 3*y + c + 2 - 4 with respect to y.
1
Differentiate 1 - 6*z**3 + 4*z + z**3 - 4*z with respect to z.
-15*z**2
Let x(s) be the third derivative of 1/120*s**6 + 3*s**2 + 0 + 0*s**5 + 1/3*s**3 + 0*s**4 + 0*s. What is the first derivative of x(g) wrt g?
3*g**2
Find the first derivative of 27*d**3 + 13*d**3 + 10 - 48 wrt d.
120*d**2
What is the derivative of -42 - 19*y**4 - 17*y**4 + 9*y**4 wrt y?
-108*y**3
Let h(n) = n**2 + n - 1. Let w(b) = -32*b**3 + 4*b**2 + 3*b + 23. Let l(p) = -4*h(p) + w(p). Find the second derivative of l(u) wrt u.
-192*u
Let p(h) be the third derivative of -4*h**5/15 - 2*h**4/3 - 9*h**2. What is the second derivative of p(d) wrt d?
-32
Suppose 2*o - 3*o = -6. Let a be -1*3/o*-4. Find the third derivative of -3*l**2 - 2*l**3 - l**2 + a*l**2 wrt l.
-12
Let j = -3 - -6. Suppose 3*u - 18 = 2*f, 0 = 2*u - 4*f - 12 - 8. Find the second derivative of -2*n - u*n**3 - 4*n**j + 4*n**3 + n**3 wrt n.
-18*n
Differentiate 7 + 3*h**2 - 10*h**2 - 14 wrt h.
-14*h
Let u(x) = 51*x**6 + 2*x**5 - 2*x**4 + 6*x. Let r(y) = -y**6 - y**5 + y**4 - y**2 - y. Let f(b) = -2*r(b) - u(b). What is the third derivative of f(l) wrt l?
-5880*l**3
Let f(d) be the third derivative of -d**4/3 - 3*d**3/2 + 11*d**2. Differentiate f(i) wrt i.
-8
Let k(b) be the first derivative of -2*b**2 + 0*b + 1 - 1/4*b**4 + 0*b**3. What is the second derivative of k(r) wrt r?
-6*r
Find the first derivative of c**3 - 3 + 7*c**3 - 3*c**3 - c**3 wrt c.
12*c**2
Let w(q) = 1. Let c(i) = -31*i - 24. Let k(y) = c(y) - 2*w(y). Differentiate k(z) wrt z.
-31
Let a(y) be the first derivative of 28*y**3/3 - 4*y**2 + 23. Find the second derivative of a(r) wrt r.
56
Let y be 2/(-1) + (-2 - -6). What is the second derivative of 8*n + 0*n + n**2 - y*n - 3*n wrt n?
2
Let a(b) = b**5 + b**4 - b. Let q(u) = 43*u**5 + 5*u**4 + 23*u**2 - 5*u. Let x(p) = -5*a(p) + q(p). What is the third derivative of x(o) wrt o?
2280*o**2
Let u be 1*1/(2/4). What is the derivative of -u*i**4 + 3*i**4 + 3 + 0 wrt i?
4*i**3
Let z(g) be the first derivative of -g**6/15 - 3*g**2/2 + 3*g - 1. Let y(h) be the first derivative of z(h). Differentiate y(t) wrt t.
-8*t**3
Let p = -19 - -21. What is the second derivative of -f**5 - p*f - f + 9*f + 3*f**5 wrt f?
40*f**3
Let o(j) be the third derivative of -3*j**6/40 + 2*j**3/3 - 6*j**2. What is the first derivative of o(c) wrt c?
-27*c**2
Let g = 15 + -12. What is the second derivative of i**g + 2*i**3 - 7*i**3 + 6*i wrt i?
-24*i
Let y(c) = 27*c**2 + 11*c - 22. Let n(j) = -9*j**2 - 4*j + 7. Let d(x) = 11*n(x) + 4*y(x). What is the derivative of d(p) wrt p?
18*p
Suppose r + 2*r = 5*h - 4, 4*h = 4*r. Let b = -2 + r. Find the first derivative of b*u**4 - 2*u**4 - 2 + u**4 wrt u.
-4*u**3
Let u(o) be the first derivative of 0*o**5 + 0*o**4 + 0*o**2 + 0*o**6 - 2/3*o**3 + 4/7*o**7 + 0*o + 5. What is the third derivative of u(k) wrt k?
480*k**3
Suppose 2*i - 3 = 5. Let p(j) = -5*j - 19 - j + 6*j**2 + 23. Let s(h) = -h**2 + h - 1. Let k(f) = i*s(f) + p(f). What is the second derivative of k(n) wrt n?
4
Suppose 5*x - 3*f = -6, 3*x = -2*x - 4*f + 8. What is the second derivative of -2*h + 0 + x*h + 0 - h**4 wrt h?
-12*h**2
Suppose -4*z + 2*m = -44, -3*z - m - m + 47 = 0. Let n = z - 10. Differentiate 2*i**3 + i**n - 5 + 3 with respect to i.
9*i**2
Let j = -3 + 4. Find the first derivative of 0*r**2 + j + 0*r**2 + 1 + r**3 wrt r.
3*r**2
Let p(t) = t**2 - 9*t + 4. Let s be p(9). Suppose w - s = -2. Find the second derivative of 0*l - w*l + 4*l**3 - 8*l**3 wrt l.
-24*l
Let z = 0 - -2. What is the first derivative of z*h + 1 - 4 + 3*h wrt h?
5
Let k(w) = -4*w**3 - 2*w**2 - 7*w - 2. Let a(v) = -19*v**3 - 11*v**2 - 34*v - 11. Let d(n) = 2*a(n) - 11*k(n). Find the second derivative of d(b) wrt b.
36*b
Let c(q) be the second derivative of 55*q**7/42 + 7*q**3/2 - q**2 - 5*q + 4. What is the second derivative of c(o) wrt o?
1100*o**3
Suppose 3 = 4*p - 9. Find the second derivative of -31*w**p - 3*w + 28*w**3 + w wrt w.
-18*w
Suppose 4*p + 9 = 21. Let w(f) be the second derivative of -1/3*f**p + 0 - f**2 - f. Differentiate w(q) with respect to q.
-2
Differentiate -16*a**3 + 7*a**3 - 36 - 34*a**3 with respect to a.
-129*a**2
Let f(w) be the first derivative of 0*w + 0*w**3 + 6 - w**5 - 1/2*w**2 + 0*w**4. What is the second derivative of f(b) wrt b?
-60*b**2
Suppose 0 = -2*j + 3*w, j + 2*w = 4*j. Find the third derivative of j*f**5 + 2*f**2 + 0*f**2 + 0*f**2 + f**5 wrt f.
60*f**2
Suppose 3*u = 3*i + 2*u - 11, i - 4*u = 0. Find the third derivative of -3*v**2 - 3*v**i + 5*v**4 + 4*v**4 wrt v.
144*v
Let n(i) be the first derivative of 3*i**5/5 - i**4/4 + i**3 + i**2/2 + 30. What is the third derivative of n(f) wrt f?
72*f - 6
Find the third derivative of 47*b**5 - 85*b**4 - 46*b**2 + 85*b**4 wrt b.
2820*b**2
Let a(v) = 49*v + 16. Let u(y) = -2. Let i(p) = -a(p) - 4*u(p). Find the first derivative of i(l) wrt l.
-49
Let v(i) be the first derivative of -3*i**3 - i**2/2 - 5. Find the second derivative of v(f) wrt f.
-18
Suppose 2*g - 1 = -2*l + 7, 3*l + 30 = 3*g. Let b = g + -1. What is the derivative of f - b*f - 2 + 4*f + 4*f wrt f?
3
Suppose 3*t = -5*p - 6, 0*p + 2*t = -2*p. Let w(s) = s - 6. Let d(r) = -r + 7. Let h(b) = p*d(b) - 4*w(b). What is the first derivative of h(y) wrt y?
-1
Suppose y = 5*f - 16, 5*y + 16 = 5*f - 4. Find the second derivative of 0*b**2 - 3*b - f*b**2 + 5*b**2 wrt b.
4
What is the derivative of 13*v**4 + 368*v**3 - 368*v**3 + 8 wrt v?
52*v**3
Suppose 3*j = 4 + 8. Let h(v) = -v**3 + v**2 + v + 3. Let l be h(0). What is the second derivative of 2*r**4 - l*r**j - r - r**4 wrt r?
-24*r**2
Let g(t) be the second derivative of t**5/20 - t**3/2 - 4*t. What is the second derivative of g(z) wrt z?
6*z
Suppose 32 = 5*x + 12. What is the first derivative of -4*q**3 - 2*q + 0*q + x + 2*q wrt q?
-12*q**2
Suppose -22 = -5*n + n - 2*v, -2*v = 3*n - 16. Find the first derivative of -n*b + 3*b + b**2 - 4 + 3*b wrt b.
2*b
Let n(d) be the first derivative of -17*d**3/3 - 13*d**2/2 - 19. Find the second derivative of n(s) wrt s.
-34
Let x(i) be the third derivative of -7*i**5/60 - i**4/2 - 16*i**2. What is the second derivative of x(k) wrt k?
-14
What is the second derivative of -12*x - 18*x**3 + 5*x**3 - 33*x**3 + 66*x wrt x?
-276*x
Let d(u) = -u**2 + 5*u. Let o be d(5). Let z be 8 - (-11 - -2)/(-3). Find the third derivative of 2*p**z + 2*p**2 - 4*p**5 + o*p**2 wrt p.
-120*p**2
Let z(n) be the third derivative of n**6/120 + 5*n**3/3 - 8*n**2. Differentiate z(j) with respect to j.
3*j**2
Let k(u) = -u**3 - 4*u**2 - 4*u - 5. Let l(n) = -n**3 + n**2 + n + 1. Let r(m) = k(m) + 4*l(m). Find the first derivative of r(v) wrt v.
-15*v**2
Let i(s) = 24*s + 45. Let w(n) = -6*n - 11. Let o(l) = -2*i(l) - 9*w(l). What is the derivative of o(k) wrt k?
6
Find the second derivative of -27*i + 4*i**4 - 4*i**4 + 23*i - 5*i**5 wrt i.
-100*i**3
Let a be (-9 + -3)*(-2)/6. Suppose -g + a*g - 6 = 0. What