 - 4. Differentiate u(a) with respect to a.
12*a
Let h = -8 - -10. Suppose -r + 5*f - 8 = 0, 2*f + 2 = 4*r - 2. Differentiate 0 + q - h*q + r with respect to q.
-1
Let y(m) = 4*m**3 - 2*m**3 + 3*m + 0*m**3. Let j(w) = w**3. Let t(u) = 4*j(u) - y(u). What is the second derivative of t(b) wrt b?
12*b
What is the first derivative of 7 - 3*m + 3 + 2*m wrt m?
-1
Suppose 5*i - 3*b = 10 - 3, 0 = -3*i - 5*b + 11. What is the third derivative of -3*w**3 - 2*w**5 + 3*w**3 - w**i wrt w?
-120*w**2
Suppose 5*q + 5 = -2*w - 1, 10 = 2*w - 3*q. Differentiate -s**3 - 2*s**3 - w + s**3 + 3*s**3 with respect to s.
3*s**2
What is the third derivative of 10*c**2 - 2*c**2 - 43*c**4 + 30*c**4 wrt c?
-312*c
Let a(l) be the third derivative of l**9/60480 + l**6/240 + l**5/60 - l**2. Let k(d) be the third derivative of a(d). Differentiate k(z) with respect to z.
3*z**2
Let p(u) = 6*u**2 - 49*u. Let a(q) = 3*q**2 - 24*q. Let b(k) = -9*a(k) + 4*p(k). What is the second derivative of b(m) wrt m?
-6
Let z be (2/(-6))/(3/9). Let b(c) = 7*c - 10. Let f(q) = -q + 1. Let w(i) = z*b(i) - 6*f(i). What is the first derivative of w(l) wrt l?
-1
Let b(d) = -d**3 + 2*d**2 + 2*d + 1. Let r be b(-1). Suppose -1 = -t - r*w, 2*t - 3*w = -w + 8. What is the derivative of 2 - t*i**2 + i**2 + i**2 wrt i?
-2*i
Let y(r) = -r**2. Let a(h) = 2*h**2 + 1. Suppose -5*f = -3*v - v + 1, 0 = 5*f - 5*v. Let w(d) = f*a(d) - y(d). Find the first derivative of w(q) wrt q.
-2*q
Let f = -89 + 94. Let i(a) be the first derivative of -4 + 0*a**4 + 0*a**f + 0*a**3 - 1/6*a**6 + 0*a - 3/2*a**2. What is the second derivative of i(g) wrt g?
-20*g**3
Suppose 10 = -x - 2*p, 2*x = p + p - 20. Let i be (-26)/x - (-10)/25. What is the first derivative of i - u + 4*u**2 + 3*u - 2*u wrt u?
8*u
Let a(l) = 11*l**3 - 9*l + 2. Let m(t) = 45*t**3 - 36*t + 9. Let q(g) = -9*a(g) + 2*m(g). What is the second derivative of q(u) wrt u?
-54*u
Let f = 40 + -40. Let n(q) be the second derivative of 1/30*q**6 + f*q**4 + 0 + 0*q**5 + q - 1/2*q**2 + 0*q**3. Differentiate n(r) wrt r.
4*r**3
Let l(w) be the second derivative of w**7/168 - w**4/24 - 2*w**3/3 - 6*w. Let a(h) be the second derivative of l(h). Find the first derivative of a(m) wrt m.
15*m**2
Let f(d) be the second derivative of d**7/105 - 2*d**3/3 - 3*d**2/2 - d. Let w(t) be the first derivative of f(t). What is the derivative of w(c) wrt c?
8*c**3
Suppose -8*n + 19 = g - 4*n, 0 = 4*g - 3*n. Find the third derivative of g*k**4 - 6*k**4 + 5*k**4 + k**2 wrt k.
48*k
Let o(s) be the second derivative of 4*s**6/15 + 4*s**2 - 2*s. Differentiate o(l) wrt l.
32*l**3
Let s(w) be the first derivative of -w**8/168 + w**4/12 + 3*w**2/2 + 3. Let j(b) be the second derivative of s(b). Find the second derivative of j(u) wrt u.
-40*u**3
What is the derivative of -5 + 4737*x - 4740*x + 40 wrt x?
-3
Let m be -2 + 30/(1 + 2). Let q = m + -6. What is the derivative of 1 - q - 1 - 2*c**4 wrt c?
-8*c**3
Suppose l + 4 = 3*c, l + 6 = 4*c + 2. Find the third derivative of -2*y**5 - 5*y**2 + y**2 + c*y**2 wrt y.
-120*y**2
Let f(y) = y**4 - y**2 - y. Suppose 4*t + t = 30. Let x(w) = -4*w**4 + 8*w**2 + 6*w. Let a(j) = t*f(j) + x(j). Find the third derivative of a(l) wrt l.
48*l
Let m be 0 + -1 - (-3 + 0). Let l(v) = v - 1. Let p be l(3). Find the second derivative of s**2 - 2*s - s**p + 0*s**5 + m*s**5 wrt s.
40*s**3
Let p = -2 + 2. Let x(r) be the third derivative of p*r**4 + 0*r - 2*r**2 + 0 - 1/60*r**6 + 1/30*r**5 + 0*r**3. Find the third derivative of x(h) wrt h.
-12
Differentiate 10*n**2 - 6*n**2 + 16 + 2*n**2 wrt n.
12*n
Let p(d) = 2*d - 4. Let x = 3 + -1. Let k be ((-9)/6)/((-1)/x). Let m(b) = -1. Let l(i) = k*m(i) - p(i). Differentiate l(a) wrt a.
-2
Let i(x) = x. Let n(c) = -5*c - 7. Let b(g) = 4*i(g) + n(g). Let u = 17 - 10. Let m(z) = -z - 8. Let l(q) = u*b(q) - 6*m(q). Differentiate l(a) wrt a.
-1
Let k(r) be the second derivative of 0 + 0*r**5 + 5/12*r**4 - 1/30*r**6 - 2*r + 0*r**2 + 0*r**3. What is the third derivative of k(v) wrt v?
-24*v
Let x be (-24)/(-10) + 4/(-10). Let s = 28 + -23. Find the second derivative of x*o + 0*o**4 + o**4 - s*o**4 wrt o.
-48*o**2
Let k(i) be the first derivative of 13*i**6/6 - 9*i**2/2 - 17. Find the second derivative of k(v) wrt v.
260*v**3
What is the second derivative of 17*f**4 - 399*f + 3 + 429*f - 3 wrt f?
204*f**2
Suppose -2*g + 3*p + 15 = 0, 7*p = -g + 2*p - 12. Find the third derivative of -3 - 5*z**2 - 4*z**g + 0*z**2 + 3 wrt z.
-24
What is the first derivative of 61 + 4*p**3 - 52 + p**3 wrt p?
15*p**2
Suppose -2*n - 6 + 10 = 0. Let s(b) be the first derivative of -b - 1/2*b**n + 2. Differentiate s(t) wrt t.
-1
Let x(y) be the second derivative of y**9/5040 - y**5/30 + 5*y**4/12 - 2*y. Let d(o) be the third derivative of x(o). What is the derivative of d(j) wrt j?
12*j**3
Let s(r) = 3*r**2 - 20. Let m(i) = -14*i**2 + 100. Let q(o) = 3*m(o) + 16*s(o). Differentiate q(y) wrt y.
12*y
Find the third derivative of -3 + 47*f**3 + 23*f**2 - 12*f**3 + 3 wrt f.
210
Suppose h = -h + 2. What is the first derivative of -4*g - h - 2*g - 2 - 2*g wrt g?
-8
Find the third derivative of -8*q**2 - 5*q + 11*q**2 + 5*q + 22*q**5 wrt q.
1320*q**2
Let v(q) be the third derivative of q**5/15 - q**4/3 - 2*q**2. What is the second derivative of v(p) wrt p?
8
Let q(x) be the third derivative of x**6/60 + x**5/60 + x**4/6 - x**3/2 + 2*x**2 - 16*x. What is the second derivative of q(s) wrt s?
12*s + 2
What is the second derivative of 3*f**4 - 12*f**4 - 2*f - 6*f - 3*f wrt f?
-108*f**2
What is the second derivative of 54*v**2 - 124*v**2 + 58*v**2 - 2*v + 15*v wrt v?
-24
Let s be (-6)/(-8) + 2/8. Let b(l) = 5 - 5 - l. Let q(x) = -2*x**4 + 7*x. Let k(t) = s*q(t) + 6*b(t). Find the second derivative of k(g) wrt g.
-24*g**2
Differentiate -16*p + 13*p - 25 + 25*p + 17*p with respect to p.
39
Let q(d) be the second derivative of -1/10*d**6 + 0*d**4 + d - 1/3*d**3 + 0 + 0*d**2 + 0*d**5. Find the second derivative of q(i) wrt i.
-36*i**2
Let o be -2*2/8*2. Let l be o/(-3 - 11/(-4)). Find the second derivative of 3*m**2 + 0*m + 5*m - 2*m - l*m**2 wrt m.
-2
What is the third derivative of -13 - 2*u**2 + 15*u**2 + 13 - 3*u**6 wrt u?
-360*u**3
Suppose 0 = -j - 2*f + 2, 4*j = -0*f - 3*f + 18. Find the third derivative of -3*g**2 + 17*g**5 + 3*g**2 - 18*g**5 - j*g**2 wrt g.
-60*g**2
Let r(y) = 21*y**3 + 2*y**2 - 21. Let t(a) = -a**3 + a**2 - 1. Let m(z) = r(z) - 2*t(z). What is the first derivative of m(k) wrt k?
69*k**2
Let h(c) be the first derivative of 2*c**7/21 + c**3/3 - 3*c - 1. Let w(m) be the first derivative of h(m). What is the second derivative of w(v) wrt v?
80*v**3
Let k(o) be the third derivative of -37*o**7/210 + 55*o**3/6 - 3*o**2 - 3*o. Find the first derivative of k(r) wrt r.
-148*r**3
Let a = 3 + 2. What is the second derivative of -6*l**a - l - l + 6*l wrt l?
-120*l**3
What is the third derivative of w**3 + 7*w**2 - 2*w**3 + w**4 + w**3 wrt w?
24*w
Suppose 0 = 5*r + 10. Let u(k) = -10*k**3 - 11*k**2 + 9. Let p(d) = -d**3 - d**2 + 1. Let c(a) = r*u(a) + 18*p(a). What is the third derivative of c(i) wrt i?
12
Let p(y) = -y + 7. Let g be p(5). What is the derivative of -2*s**g - 5*s**4 + 8 + s**2 + s**2 wrt s?
-20*s**3
Let q be (-4)/1 - (75/(-10) + 2). Let g(m) be the first derivative of q*m**2 - 4 - m. Find the first derivative of g(k) wrt k.
3
Let h be (-2)/(-4) - 11/(-2). What is the third derivative of -2*z**6 - z**h - 4*z**2 - 3 + 3 wrt z?
-360*z**3
Suppose -2 = -2*m - 0. Suppose 2*d - 4 = 2. Differentiate s + d + 0 - m with respect to s.
1
Let g(a) be the second derivative of -a**6/90 + a**4/6 - 5*a**3/6 - 2*a. Let m(j) be the second derivative of g(j). Differentiate m(i) with respect to i.
-8*i
Let y(l) = -8*l**3 + 6*l - 29. Let t(d) = -d + 1. Let w(r) = -6*t(r) - y(r). What is the first derivative of w(i) wrt i?
24*i**2
Let t(f) = -10*f**5 - 4*f**4 - 13*f - 4. Let k(m) = 10*m**5 + 5*m**4 + 14*m + 5. Let u(j) = -4*k(j) - 5*t(j). What is the second derivative of u(y) wrt y?
200*y**3
Suppose g + 0*g = 0. Let w(x) be the second derivative of 0*x**2 + 1/20*x**5 + 2*x + g*x**4 + 0 + 1/6*x**3. Find the second derivative of w(q) wrt q.
6*q
Let h be (0 - 3)/(-1) + -1. Suppose 0 = -3*g + 4 + h. Differentiate 0*z**2 - 1 - z**2 + 2*z**g - 1 with respect to z.
2*z
Let s