 - 4*t**2 wrt t?
-180*t**2
Let a(u) = u**2 - 1. Let p be a(-2). Let b(f) be the first derivative of -4 + 5*f**p + 5 - f**2 - 6*f**3. Find the second derivative of b(m) wrt m.
-6
What is the second derivative of 26*y + 20*y - 58*y + 2*y**3 wrt y?
12*y
Let w(r) = 56*r**2 + 3*r - 31. Let t(y) = -y**2 - y + 1. Let b(q) = 5*t(q) + w(q). What is the second derivative of b(d) wrt d?
102
Let a = 24 + -14. Find the third derivative of 5*r - 5*r + a*r**2 + 7*r**3 - r**3 wrt r.
36
Let g(s) = -11*s + 4. Let v(a) = -42*a + 15. Let u(c) = 21*g(c) - 5*v(c). Differentiate u(h) wrt h.
-21
Suppose -d = y + 4*d - 20, 3*y - 4*d - 3 = 0. Find the third derivative of v**2 + 2*v - 4*v**y + 7*v**5 - 2*v wrt v.
180*v**2
Let f = -17 - -24. What is the third derivative of 6*n**2 - 5 + 12 - f - 5*n**3 wrt n?
-30
Let b(n) = -3*n**4 + n**3 + 3*n**2 + n. Let z(d) = -d**3 - d. Let h(m) = -6*b(m) - 6*z(m). What is the third derivative of h(y) wrt y?
432*y
Let j(k) be the third derivative of -k**8/168 - k**4/24 - k**2. Find the second derivative of j(p) wrt p.
-40*p**3
Let r = 6 - 4. Suppose 5*b = 2*h - 29, b - 3 = -5*h + r. Find the second derivative of -2 + 5 - s**h - 3 - s wrt s.
-2
Find the second derivative of 5 + 4*r**2 + 1 - 6 + 5*r wrt r.
8
Let d(l) = -28*l**5 - 4*l**2 + 9*l - 4. Let u(k) = -27*k**5 - 3*k**2 + 8*k - 3. Let f(j) = 3*d(j) - 4*u(j). What is the second derivative of f(w) wrt w?
480*w**3
Suppose 2*m + 3*o - 14 - 6 = 0, 5*m = -2*o + 28. Find the second derivative of -3*j**m + j + 5*j**5 + 3*j**4 - 5*j wrt j.
100*j**3
Differentiate 5 - n + 7*n - 3*n wrt n.
3
Let u(n) be the third derivative of 0*n**5 - 5*n**2 + 0*n + 0 - 2/105*n**7 + 0*n**4 + 0*n**6 - n**3. Differentiate u(w) wrt w.
-16*w**3
What is the derivative of 3*i**2 - 4*i**2 + 10 - 23 wrt i?
-2*i
Let i(t) = -t**2 - t - 5. Let p be i(0). Let o(u) = -3. Let g(h) = -h + 6. Let q(a) = p*o(a) - 2*g(a). Find the first derivative of q(n) wrt n.
2
Let v(w) be the first derivative of 4*w**3 + 9*w + 10. What is the first derivative of v(h) wrt h?
24*h
Let q(f) be the second derivative of 3*f**4/2 + 4*f**3 - 10*f. Find the second derivative of q(p) wrt p.
36
Let v(k) = 24*k**2 - 11*k - 16. Suppose -s = 3*s + 8. Let f(c) = -5*c**2 + 2*c + 3. Let r(w) = s*v(w) - 11*f(w). Differentiate r(y) with respect to y.
14*y
Let o be (-12)/60 - 16/(-5). Find the second derivative of -2*m**4 - o*m**4 + 0*m - 3*m wrt m.
-60*m**2
Let m(f) = f**3 - 5*f**2 + 2. Let v be m(5). Suppose 3 = 5*n + 2*s, v*n - 3*n = s. Differentiate 2 - 2 - n + o with respect to o.
1
Let p(a) = -21*a**2 - 5. Let v(x) = -62*x**2 - 15. Let n(s) = 17*p(s) - 6*v(s). What is the derivative of n(h) wrt h?
30*h
Let y = 11 + -5. Let h(a) = a - 8*a**3 - 3 - 1 - 2. Let w(d) = -9*d**3 + d - 7. Let s(q) = y*w(q) - 7*h(q). What is the second derivative of s(i) wrt i?
12*i
Let m(o) be the first derivative of 2*o**5/5 + 3*o**2 - 2. Find the second derivative of m(k) wrt k.
24*k**2
What is the second derivative of 1 - 44*x**3 + 39*x**2 - 17*x**2 - 29*x - 22*x**2 wrt x?
-264*x
Let j(k) = -11*k**3 - 3*k + 5. Let s(c) = 21*c**3 + 5*c - 10. Let b(n) = -5*j(n) - 3*s(n). Differentiate b(u) with respect to u.
-24*u**2
Let j(s) = 2. Let q(k) = -27*k + 66. Let p(c) = j(c) - q(c). What is the derivative of p(x) wrt x?
27
Let b(n) be the first derivative of -12*n**2 - 41*n + 35. Find the first derivative of b(c) wrt c.
-24
Find the second derivative of -a + a**3 + a**3 - 5*a**3 - 2*a**3 wrt a.
-30*a
Let k(i) be the first derivative of i**3 + i - 2. What is the derivative of k(y) wrt y?
6*y
Let d(l) be the second derivative of -l**5/20 + 3*l**2 - l. Find the first derivative of d(y) wrt y.
-3*y**2
Let m = -3 + 8. Let s = -3 + m. What is the third derivative of 3*a**3 + 0*a**3 + s*a**2 - 6*a**3 wrt a?
-18
Let w(o) = 21*o**2 + 32*o - 3. Let m(q) = 43*q**2 + 63*q - 5. Let s(v) = 3*m(v) - 5*w(v). What is the second derivative of s(r) wrt r?
48
Let y(a) = 2*a**2 + a - 4. Let r be y(-2). Find the third derivative of -4*g**5 - 6*g**r + 4*g**5 - 5*g**5 wrt g.
-300*g**2
What is the third derivative of -4*g**3 - 153*g**5 - 19*g**2 + 4*g**3 + 143*g**5 wrt g?
-600*g**2
Let i = -1 + 3. What is the third derivative of 2*p**6 + 0*p**2 + p**2 + i*p**6 - 2*p**6 wrt p?
240*p**3
Let r(t) = -t**3 + t**2 - 1. Let d(b) = -5*b**3 - 2*b**2 + 9*b + 2. Let i(s) = d(s) + 2*r(s). What is the second derivative of i(j) wrt j?
-42*j
Let j(c) = -33*c**4 - 4*c**2 - 19*c + 4. Let f(a) = 33*a**4 + 3*a**2 + 18*a - 3. Let u(s) = -4*f(s) - 3*j(s). Find the second derivative of u(p) wrt p.
-396*p**2
Let u(o) be the third derivative of 7*o**5/60 - 2*o**3/3 - 3*o**2. Find the first derivative of u(m) wrt m.
14*m
Let j = 8 - 5. Let p = 3 + -1. Find the third derivative of -4*a**j + a**2 + a**2 + p*a**3 wrt a.
-12
Let s(p) = p**3 + 7*p**2 + 4*p - 6. Let w(t) = t**2 - 6. Let f be w(0). Let o be s(f). Differentiate -3*j - j - 3*j + o*j + 2 wrt j.
-1
Suppose 2*h - 7 = 9. Find the second derivative of 0*i**5 + h*i**5 + 3*i - 4*i**5 wrt i.
80*i**3
Suppose 1 = 3*d - 5*p, -2*d - 2*d + 4 = -4*p. What is the second derivative of 42*m**3 + 5*m - 42*m**3 - d*m**5 - 2*m wrt m?
-40*m**3
Let z(u) = -10*u**4 + 4*u**2 + 3*u. Let f(b) = -9*b**4 + 3*b**2 + 2*b. Let o(k) = 3*f(k) - 2*z(k). What is the third derivative of o(q) wrt q?
-168*q
Let t(i) = 9*i**4 - 14*i**3 - 4*i**2 - 76. Let g(v) = 10*v**4 - 16*v**3 - 5*v**2 - 76. Let u(p) = -4*g(p) + 5*t(p). Find the first derivative of u(b) wrt b.
20*b**3 - 18*b**2
Let g(a) be the second derivative of 0*a**5 + 0*a**3 - 1/4*a**4 - 5/42*a**7 + 0 + 0*a**2 + 0*a**6 - 2*a. What is the third derivative of g(h) wrt h?
-300*h**2
Let x(b) = -b**2 - 10*b - 11. Let u be x(-8). Let k = -3 + u. Find the third derivative of -v**5 + 6*v**2 + 3*v**5 - 3*v**2 + 0*v**k wrt v.
120*v**2
Let b(d) = 2*d. Let k be b(1). Suppose 4*h = k*h. Find the third derivative of -3*a**5 + h*a**5 + a**2 - 4*a**2 wrt a.
-180*a**2
Suppose -2*b + b = 4, -3*b = 2*q + 12. Let p = 9 + -4. Find the third derivative of -3*u**2 + 5*u**2 + q*u**p + 0*u**5 - u**6 wrt u.
-120*u**3
Let m(t) = -t**3 + 1. Let p(u) = -7*u**3 - 11*u**2 + 5. Let n(k) = -5*m(k) + p(k). Find the third derivative of n(c) wrt c.
-12
Let v(z) = 17*z**5 - 2*z**4 - 23*z**2. Let x(a) = -16*a**5 + 3*a**4 + 22*a**2. Let q(t) = 3*v(t) + 2*x(t). What is the third derivative of q(n) wrt n?
1140*n**2
Let b(m) be the third derivative of -m**6/10 + m**5/5 - 32*m**2. Find the third derivative of b(w) wrt w.
-72
Let i(n) = 3 - n - 2*n + 9*n. Let b(v) = -v - 3 - 4 + 6. Let m(g) = -4*b(g) - i(g). Differentiate m(r) with respect to r.
-2
Let h(l) be the third derivative of -l**7/105 - 7*l**4/24 - 3*l**2. Find the second derivative of h(d) wrt d.
-24*d**2
Find the third derivative of -13*s**3 - 5*s**4 + 5*s**3 + 15*s**2 + 8*s**3 wrt s.
-120*s
Let i(b) be the third derivative of 3*b**4/8 - 2*b**3 + 9*b**2. Differentiate i(q) with respect to q.
9
What is the second derivative of 18*h**3 - h - 25*h + 52 - 52 wrt h?
108*h
Let y(q) be the third derivative of 17*q**9/504 - 7*q**5/12 - 27*q**2. What is the third derivative of y(r) wrt r?
2040*r**3
Let r(d) = -4*d**2 + 2. Suppose 0 = -3*n - 4 - 2. Let u(f) = 5*f**2 - 4*f + 2 + 5*f - 5. Let h(p) = n*u(p) - 3*r(p). Find the second derivative of h(l) wrt l.
4
Suppose 0 = -l - 4*g + 3*g - 3, -l - 8 = 2*g. Suppose -y + 2 = -0*y. What is the second derivative of l*v - 24*v**2 + 24*v**y - v - 3*v**3 wrt v?
-18*v
Let z(q) be the second derivative of -q**6/2 - 3*q**3/2 - 2*q. Find the second derivative of z(l) wrt l.
-180*l**2
Let o(v) = v + 12. Let i be o(-10). Suppose -3 - 3 = -3*a. What is the third derivative of 5*p**5 - a*p**2 + p**i - 3*p**5 wrt p?
120*p**2
Differentiate 6*l**3 - 5*l**3 - 4 - 3*l**2 + 3*l**2 wrt l.
3*l**2
What is the second derivative of 11*m**2 - 2*m**2 + 18*m + 5*m**2 wrt m?
28
Differentiate 0*a + 2*a + 7*a + 7 - 2*a with respect to a.
7
Let y(m) = 4*m**2 - 8. Let q(l) = -l**2 + 1. Let r(v) = 6*q(v) + y(v). Find the first derivative of r(a) wrt a.
-4*a
Let s(p) be the first derivative of -5*p**6/6 + 3*p**3 + 12. What is the third derivative of s(z) wrt z?
-300*z**2
Let w(h) be the second derivative of 0*h**3 - 1/4*h**4 + 0 + h**2 - 2*h. What is the first derivative of w(v) wrt v?
-6*v
Let p(z) be the first derivative of 2*z