- 1. Differentiate -g*m + m + m - b wrt m.
-1
Let w(l) = 30*l**4 - 5*l**3 - 37. Let q(f) = -45*f**4 + 8*f**3 + 56. Let x(b) = 5*q(b) + 8*w(b). Differentiate x(s) with respect to s.
60*s**3
Let p = -22 + 16. Let l = 20 + p. Differentiate -17*j**4 + l*j**4 + 1 + 1 wrt j.
-12*j**3
Let y(u) be the second derivative of 0*u**4 + 0*u**2 + 0 - 1/6*u**3 + 1/20*u**5 + u. Find the second derivative of y(a) wrt a.
6*a
Find the third derivative of -25*s**2 + 229*s**6 - s**5 + s**5 - 220*s**6 wrt s.
1080*s**3
Let g(q) = -4*q**2 - 5*q. Let z(d) = -4*d**2 - 5*d. Let m(h) = -7*g(h) + 6*z(h). What is the second derivative of m(k) wrt k?
8
Suppose -3*x = 5*f + 2*x - 35, -24 = -2*f - 4*x. Find the third derivative of f*v**5 - 2*v**2 - 5*v**2 + 6*v**2 wrt v.
120*v**2
Let w(t) be the first derivative of 17*t**4/4 - 9*t**2 + 1. What is the second derivative of w(f) wrt f?
102*f
What is the derivative of 88*r - 9 + 0 - 84*r wrt r?
4
Let x(k) be the first derivative of -k**4/12 + k**2/2 + 4*k + 6. Let v(j) be the first derivative of x(j). Differentiate v(t) with respect to t.
-2*t
Let a(r) be the third derivative of -r**5/30 - 5*r**4/24 + 6*r**2. Find the second derivative of a(q) wrt q.
-4
Suppose 0*y + 4*y = 12. Find the first derivative of -1 + 2*r**3 - 2*r**3 + 5*r**3 - 2*r**y wrt r.
9*r**2
Let w(r) be the second derivative of 0*r**4 - 7*r + 1/15*r**6 - r**3 + 0*r**5 + 0 + 0*r**2. What is the second derivative of w(q) wrt q?
24*q**2
Let i(b) be the second derivative of 0 + b - 3/2*b**2 - 1/3*b**3. What is the derivative of i(g) wrt g?
-2
Let i(q) be the second derivative of 0 + 3/2*q**2 - 1/6*q**3 + q. What is the first derivative of i(s) wrt s?
-1
Find the first derivative of -7 + h - h - 347*h**3 + 351*h**3 wrt h.
12*h**2
Let o(w) be the first derivative of 5*w**4/4 - w**3 - 10. Find the third derivative of o(f) wrt f.
30
Let n = -21 - -21. Differentiate -4 - 2 + 4*x + n with respect to x.
4
Let g(a) be the third derivative of 9*a**2 + 0*a**3 + 0*a**4 + 0*a**6 + 1/35*a**7 + 2/15*a**5 + 0*a + 0. Find the third derivative of g(y) wrt y.
144*y
Let q(m) = m**3 - m**2 - 3*m + 2. Let d be q(2). What is the second derivative of -5*b + d*b**3 + 0*b + b**3 wrt b?
6*b
Let h(f) = 6*f**4 + 5*f**3 - 5*f - 3. Let t(v) = -4*v + 3*v**4 + 3*v**3 - 2*v**3 + 2*v - 2 + v**3. Let m(r) = 2*h(r) - 5*t(r). Differentiate m(o) wrt o.
-12*o**3
Let g(b) be the first derivative of -9*b**2/2 - b - 6. Find the first derivative of g(m) wrt m.
-9
Let g = -47 - -48. Let v(s) be the first derivative of -s - 3/4*s**4 - g + 0*s**2 + 0*s**3. Differentiate v(d) wrt d.
-9*d**2
Let k(l) be the first derivative of 2*l**5 - l**3/3 - 14. What is the third derivative of k(d) wrt d?
240*d
Let p(q) = 67*q**5 - 3*q**4 + 48*q**2. Let t(j) = -68*j**5 + 4*j**4 - 49*j**2. Let a(v) = 4*p(v) + 3*t(v). What is the third derivative of a(c) wrt c?
3840*c**2
Let c(w) = -w**3 + 3*w**2 + w + 1. Let t be c(3). Find the third derivative of a**5 + a**2 - 2*a**5 + t - 4 wrt a.
-60*a**2
Let a(l) be the first derivative of -l**4/2 - l**2 + 16. Find the second derivative of a(z) wrt z.
-12*z
Suppose -q - 4*q + 25 = 0. What is the second derivative of 0*z - 4*z**2 - q*z + z + 3*z**2 wrt z?
-2
Let d(k) be the third derivative of -3*k**5/20 + 3*k**4/4 + 9*k**2. Find the second derivative of d(w) wrt w.
-18
Let k(g) = 20*g**3 - 48*g**2. Let f(r) = 19*r**3 - 49*r**2. Let u(q) = 5*f(q) - 6*k(q). What is the third derivative of u(h) wrt h?
-150
Let r(n) be the second derivative of -1/10*n**6 + 0 + 2/3*n**3 + 8*n + 0*n**5 + 0*n**4 + 0*n**2. What is the second derivative of r(m) wrt m?
-36*m**2
Let v(k) be the first derivative of -k**6/360 + k**5/120 - k**3 - 1. Let r(f) be the third derivative of v(f). What is the second derivative of r(t) wrt t?
-2
What is the second derivative of -9*y - 7*y**5 + 11*y + 15*y wrt y?
-140*y**3
What is the second derivative of 2*c - 2*c**3 + 29*c + 22*c + 12*c**4 wrt c?
144*c**2 - 12*c
Let k(j) = 9*j**5 + 3*j**3 + 5*j**2 - 3*j - 3. Let v(r) = -r**5 - r**3 - r**2 + r + 1. Let c(s) = 2*k(s) + 6*v(s). Find the third derivative of c(d) wrt d.
720*d**2
Let v(g) be the second derivative of -5*g**5/4 - g**4/12 + g**2/2 + 8*g + 2. Find the third derivative of v(p) wrt p.
-150
Let r(q) = q + 14. Let u(f) = 5*f + 57. Let h(n) = 9*r(n) - 2*u(n). Let w be h(9). Find the second derivative of -11*o**3 - w*o + 12*o**3 + 2*o wrt o.
6*o
Let u(n) be the third derivative of n**6/120 + n**4/24 - n**3/2 - 2*n**2. Let r(k) be the first derivative of u(k). What is the first derivative of r(y) wrt y?
6*y
Find the second derivative of 20*d + 6*d**2 - 8*d + 19*d - 26*d**2 wrt d.
-40
Find the third derivative of -3*c**4 + c**4 - c**2 + 6*c**2 + 2*c**2 wrt c.
-48*c
Let f be 6/(-9)*3 + 3. Find the first derivative of 2*y**4 + 0 + f + y**4 wrt y.
12*y**3
Let y(v) be the first derivative of 7*v**2 - 9*v - 9. What is the first derivative of y(u) wrt u?
14
Let y(b) = -5*b**2 - 4. Let a(q) = -5*q**2 - 4. Let n(c) = 6*a(c) - 7*y(c). What is the first derivative of n(l) wrt l?
10*l
Let j(t) = 11*t + 14. Let c(r) = -16*r - 21. Let l(y) = -5*c(y) - 8*j(y). Differentiate l(d) wrt d.
-8
Let r(z) be the third derivative of -z**6/12 - 7*z**5/60 - 23*z**2. What is the third derivative of r(h) wrt h?
-60
Suppose -h = h, -3*z = -2*h - 9. Let b be 16/6 + 1/z. Differentiate 0*w - b*w**2 + 2*w - 2*w - 1 wrt w.
-6*w
What is the second derivative of j + 4*j - 9*j**4 - 6*j wrt j?
-108*j**2
Let r(j) be the third derivative of j**9/60480 + j**6/240 - j**5/30 + 2*j**2. Let t(f) be the third derivative of r(f). What is the derivative of t(g) wrt g?
3*g**2
Let n(z) be the third derivative of -1/6*z**4 + 0*z + 0 + 4*z**2 - 1/3*z**3. Find the first derivative of n(h) wrt h.
-4
Let i(b) be the second derivative of 0 + 1/12*b**4 - 2*b + 0*b**2 - 2/3*b**3. Find the second derivative of i(w) wrt w.
2
Suppose -3*a - 9 = -0*a. Let y be (-29 + 2)/a + -3. Find the first derivative of 3*d**2 + 0*d**2 + 0*d**2 - 2 - y*d**2 wrt d.
-6*d
Let i(v) be the first derivative of -v**3 + 1/3*v**6 + 0*v**2 + 0*v**4 - 3 + 0*v + 0*v**5. What is the third derivative of i(s) wrt s?
120*s**2
Suppose -b = -2*s + 8, -s + 3*b = -3*s + 16. What is the second derivative of -3*u + 6*u**3 - 3*u**3 + s*u - 3*u wrt u?
18*u
Let n = -2 + 1. Let t be (1 + 4 + n)/1. Differentiate -r**2 + 4*r**2 - 2 - t*r**2 wrt r.
-2*r
Let h = -7 + 16. Find the second derivative of -103 + h*a**3 + 6*a + 103 wrt a.
54*a
Let v(c) be the third derivative of c**5/60 + c**3/6 - 4*c**2. What is the derivative of v(j) wrt j?
2*j
Find the first derivative of -2*q + 12 - 49 + 15 + 14 wrt q.
-2
Suppose 0 = -2*g + 2 + 2. What is the first derivative of 1 - 2*s - g + 2 - 4 wrt s?
-2
Find the third derivative of -2 + 39*m**3 + 21*m**2 + 2 - 10*m**3 wrt m.
174
Let x(k) be the second derivative of k**7/840 + k**5/60 + k**4/4 + 2*k. Let y(m) be the third derivative of x(m). What is the first derivative of y(z) wrt z?
6*z
Let r(j) = -11*j + 6. Let l(i) be the third derivative of -17*i**4/24 + 3*i**3/2 - i**2. Let p(q) = 5*l(q) - 8*r(q). What is the derivative of p(d) wrt d?
3
Let o(m) be the second derivative of m**5/12 + 3*m**4/8 + 3*m**2 + 6*m. Let n(x) be the first derivative of o(x). Find the second derivative of n(v) wrt v.
10
Suppose -5*w - 5*r - 10 = 0, -5*w + 0 - 5 = 4*r. Suppose 14*c = 9*c + 5. Find the first derivative of b - b + w*b**2 - c wrt b.
6*b
Let g(l) be the third derivative of 0*l - 1/30*l**5 - 7*l**2 + 0*l**3 - 1/8*l**4 + 0. What is the second derivative of g(z) wrt z?
-4
Let a be 17/3 + (-2)/3. Suppose -7*p + 2*p + 5 = -5*i, -5*p + 17 = -i. What is the third derivative of a*q - q**2 - 5*q + 2*q**i wrt q?
12
What is the second derivative of -2*h - h**3 + 6*h**4 - h**3 + 2*h**3 wrt h?
72*h**2
Let p(v) = -v**4 - v + 1. Let x(h) = 8*h**4 + 4*h - 29. Let a(y) = -4*p(y) - x(y). Differentiate a(z) with respect to z.
-16*z**3
What is the second derivative of 16*l**3 + 9*l**3 + 83*l + l**3 - 25*l wrt l?
156*l
Suppose 0 = -b - b + 48. What is the first derivative of 3*y**4 - 24*y**2 + b*y**2 - 1 wrt y?
12*y**3
Find the second derivative of -15*p - 31*p - 3*p**2 + 4*p wrt p.
-6
Let t(j) be the second derivative of j - 1/5*j**5 - 1/6*j**3 + 0 + 0*j**4 + 0*j**2. What is the second derivative of t(f) wrt f?
-24*f
Find t