What is the second derivative of f(d) wrt d?
-12*d**2
Suppose 5*i - 15 = 4*t, -2*i - 15 = -7*i - 3*t. Find the second derivative of -6*y**5 + 52*y**3 + y - 52*y**i wrt y.
-120*y**3
Let x be 3 - 28/8 - -1. Let p(z) be the first derivative of -x*z**2 + 3*z - 2. Differentiate p(b) wrt b.
-1
Suppose 0 = 5*a - 3*a - 6. Let j = 3 + -1. Find the third derivative of -2*v**2 - 4*v**a + j*v**3 + v**3 wrt v.
-6
Find the third derivative of -253*z**3 + 253*z**3 + 43*z**2 - 7*z**2 + 36*z**4 wrt z.
864*z
What is the third derivative of -3*i**2 + i**2 - 2*i**5 + i**2 wrt i?
-120*i**2
Let a = 13 - 9. Let g = 6 - a. What is the second derivative of 3*l - g*l**3 + 0*l + 0*l wrt l?
-12*l
Let h(f) be the third derivative of f**5/5 + 2*f**4/3 - 7*f**2. Find the second derivative of h(c) wrt c.
24
Differentiate 9*h**4 + 9*h**4 + 6 - h - 34*h**4 + 3*h**4 wrt h.
-52*h**3 - 1
Let b(t) be the first derivative of 3*t**5 + 2*t + 10. What is the first derivative of b(m) wrt m?
60*m**3
Let d(u) = u**3 + 5*u**2 + u + 5. Let h be d(-5). Differentiate 4*s**2 - 27 + 30 + h*s**2 with respect to s.
8*s
Let h(b) be the third derivative of -b**7/35 + 5*b**4/24 + 9*b**2. Find the second derivative of h(u) wrt u.
-72*u**2
Let x(t) = -3*t - 1. Let y be x(-1). What is the derivative of 2 - 3 - y - d**2 wrt d?
-2*d
Let k(s) = 10*s**2 - 15*s + 20. Let q(b) = -b**2 + b - 1. Let l(h) = -k(h) - 20*q(h). What is the second derivative of l(j) wrt j?
20
Let j(w) = -19*w**2 + 17*w + 4. Let z(n) = 19*n**2 - 16*n - 3. Let c(x) = -3*j(x) - 4*z(x). What is the second derivative of c(i) wrt i?
-38
Let n(q) = 7*q**4 + 5*q**3 - 11. Suppose 0*x + 5*x = -25. Let o(r) = -3*r**4 - 2*r**3 + 5. Let s(z) = x*o(z) - 2*n(z). Differentiate s(y) wrt y.
4*y**3
Let q(k) = -7*k**4 - 3*k**3 - 18*k. Let b(l) = -14*l**4 - 5*l**3 - 36*l. Let z(c) = -3*b(c) + 5*q(c). Find the second derivative of z(h) wrt h.
84*h**2
Let f(o) = o**3 - 13*o**2 + 13*o - 6. Let d be f(12). Differentiate 9*j**3 + 3*j - 3*j + 1 - d*j**3 with respect to j.
9*j**2
Suppose 5*x - 85 = 10*x. Let u = -11 - x. What is the third derivative of 3*f**2 + 0*f**2 - 7*f**u - f**2 + 5*f**6 wrt f?
-240*f**3
Differentiate 15*n**4 + 10*n**4 - 15 - 14 + 23 with respect to n.
100*n**3
Suppose 15 - 3 = 4*t. What is the derivative of -5*r + 5*r + r**4 + 3 + t*r**4 wrt r?
16*r**3
Let v(g) be the first derivative of -g**9/504 + g**5/15 + 3*g**2/2 - 2. Let j(k) be the second derivative of v(k). What is the third derivative of j(u) wrt u?
-120*u**3
Let s = 5 - 2. Find the second derivative of -15*i + 0*i**3 + 2*i**s + 18*i wrt i.
12*i
Let c(g) be the third derivative of -g**9/24 - g**5/30 + 2*g**2. Find the third derivative of c(r) wrt r.
-2520*r**3
Let p(s) = s + 7. Let q be p(-4). Let r(w) = w**2 + 2*w - 4. Let n be r(-4). What is the derivative of 3*b**n - b**4 + b**4 - q wrt b?
12*b**3
Suppose -n = 4*n. What is the second derivative of n*a**5 - 5*a**5 + 2*a**5 + a**5 - 3*a wrt a?
-40*a**3
Let k(o) be the second derivative of o**4/3 - 9*o**2/2 + o. Find the first derivative of k(i) wrt i.
8*i
Suppose -k - 4*k = 5. Let v = 3 + k. What is the first derivative of 2*g**4 - 2*g**2 + 2*g**v - 1 wrt g?
8*g**3
Let s(l) = -4*l**2 - 2*l**4 - 5*l**3 + l**4 + l**2. Let f(b) = -4*b**3 - 4*b**2. Let i(q) = 5*f(q) - 4*s(q). Find the third derivative of i(t) wrt t.
96*t
Suppose 3*p = -4*g - 2 - 0, p + g = 0. Let y = -20 - -28. Find the second derivative of y - u - u**p - 8 wrt u.
-2
Let b(i) be the third derivative of i**5/6 - 13*i**4/12 + 22*i**2. What is the second derivative of b(p) wrt p?
20
Find the third derivative of -4*c**2 + 8*c**5 - c**3 + c**3 - 9*c**5 wrt c.
-60*c**2
Suppose b - k - 4 + 2 = 0, -2*k = b + 4. Let w(p) = -p + 11. Let q be w(b). Find the third derivative of -11 + 2*x**3 + q - 2*x**2 wrt x.
12
Let h(z) = -z + 1. Let r be h(-3). Suppose 29 - r = 5*d. Find the second derivative of -2*k**d + k + k**5 + 0*k wrt k.
-20*k**3
Let n(r) be the first derivative of 0*r + 2*r**3 - 3/2*r**2 - 2. Find the second derivative of n(k) wrt k.
12
Let w(y) be the first derivative of -2 - 1/2*y**6 + 0*y + 0*y**5 + 0*y**3 - 3/2*y**2 + 0*y**4. What is the second derivative of w(n) wrt n?
-60*n**3
Differentiate -32*o + 3 + 65*o - 33*o + 36*o**2 wrt o.
72*o
Find the second derivative of 7*q**5 + 10*q - q**5 + 6*q + 6*q**5 wrt q.
240*q**3
Let w(n) = n**4 - 15*n**2 + 24*n. Let l(a) = a**5 + a**4 + a**2 + a. Let t(o) = -l(o) + w(o). Find the second derivative of t(d) wrt d.
-20*d**3 - 32
Let a(o) = 33*o**3 - 23*o**2 + 8. Let x(b) = -22*b**3 + 15*b**2 - 5. Let y(j) = 5*a(j) + 8*x(j). What is the third derivative of y(l) wrt l?
-66
Let v(k) = -k**3 + 4*k**2 + 3. Let a = 1 + 3. Let b be v(a). Find the third derivative of 2*c**2 + 2*c**4 + b*c**6 - 2*c**4 wrt c.
360*c**3
Let y = 3 + -2. Suppose -3*g + 12 = 3*k, -3*k = 2*g - 7 - y. Find the second derivative of g*a**4 + a + 0*a - 3*a**4 wrt a.
12*a**2
Let x = 3 - 1. Find the third derivative of 3*n + 2*n**2 - 3*n + 0*n**4 - x*n**4 wrt n.
-48*n
Let d(z) = 3*z - 11. Let o(b) = 13*b - 43. Let x(h) = 9*d(h) - 2*o(h). Differentiate x(m) wrt m.
1
Let g be (0 + 1)/2*0. Suppose -3*h + 9 = -g*h. Differentiate -3 + 3*d**h - d**3 + 0 with respect to d.
6*d**2
Let q(o) = -o**3 - 5*o**2 - 5*o. Let d be q(-4). What is the second derivative of 4*f + d*f**5 - f**5 - 8*f**5 wrt f?
-100*f**3
Let p(h) be the second derivative of h**5/4 + 5*h**3/3 + 7*h. What is the second derivative of p(n) wrt n?
30*n
What is the second derivative of 8*c - c**5 - 7*c**5 + c**5 + 10*c**5 wrt c?
60*c**3
Suppose -2*h - 5*z + 0*z - 1 = 0, -z + 7 = 4*h. Find the third derivative of h*r**2 - r**2 + 3*r**2 + 4*r**6 wrt r.
480*r**3
Let o = -17989/70 + 257. Let a(w) be the third derivative of 0*w**5 - o*w**7 - 3*w**2 + 0*w**6 + 0*w**4 + 0 - 1/2*w**3 + 0*w. Differentiate a(n) wrt n.
-12*n**3
Find the third derivative of 12*b - 420*b**5 + 3*b**3 - 3*b**3 + 440*b**5 + b**2 wrt b.
1200*b**2
Let i(a) = -a + 1. Let y(h) = 10*h - 6. Let r(l) = 3*i(l) + y(l). Find the first derivative of r(d) wrt d.
7
Let d = 6 - 4. Let j = 4 - d. What is the second derivative of -j*u + u**3 - 3*u**3 + 0*u wrt u?
-12*u
Let w(j) = j**3 + 7*j**2 + j - 8. Let a be w(-6). Let i be (-2)/9 - a/(-18). Differentiate -1 - i + 3 + 4*h**4 with respect to h.
16*h**3
Let n(d) = 2*d - 9. Let j be n(6). Find the third derivative of 4*w**5 - w**j + w**2 - 3*w**2 + w**3 wrt w.
240*w**2
Suppose -21 = -2*x - 3. What is the third derivative of -4*t**2 + 2*t**4 - t**4 - 2*t**4 + x*t**2 wrt t?
-24*t
Let g(p) = -16*p**2 - 13. Let h(x) = 33*x**2 + 27. Let k(a) = -9*g(a) - 4*h(a). Differentiate k(u) with respect to u.
24*u
Suppose 5 = 5*n - 20. Let h = n - 0. What is the second derivative of 2*q + 3*q**h - q - 3*q - 2*q**5 wrt q?
20*q**3
Let k be (-4)/(0 + -2)*2. Suppose -k*d + d + 2*i = 7, 2*d + 3*i = 17. What is the derivative of 2*f - f + 0*f - d wrt f?
1
Let s(k) = 2*k**4 - 3*k**2 - 3*k - 1. Let v(h) = -h**2 - h. Let u(p) = 2*s(p) - 6*v(p). Differentiate u(q) with respect to q.
16*q**3
Differentiate -22*k**4 - 176*k**2 + 356*k**2 + 12 - 180*k**2 wrt k.
-88*k**3
Let j(f) = 5*f**4 - 4*f**3 - 4*f**2 + 16. Let c(w) = 4*w**4 - 3*w**3 - 3*w**2 + 16. Let y(m) = 4*c(m) - 3*j(m). Find the first derivative of y(z) wrt z.
4*z**3
Let r(x) be the first derivative of 13*x**3/3 - 11*x - 12. What is the derivative of r(z) wrt z?
26*z
Let f = -25 + 29. What is the derivative of 2 + 5 - 9*q**2 - 10 + f wrt q?
-18*q
What is the third derivative of -59*g - 9*g**3 + 59*g - g**2 wrt g?
-54
Let h(z) = 31*z**3 - 45*z - 17. Let p(q) = 10*q**3 - 15*q - 6. Let w(t) = 6*h(t) - 17*p(t). Find the second derivative of w(f) wrt f.
96*f
Suppose k - 9 = 13. Let z = k - 16. What is the derivative of 2*w**2 - z*w**2 - 3 + 7 + 2*w**2 wrt w?
-4*w
Let p(c) = 2*c + 14. Let x be p(-6). Find the second derivative of -t + x*t + 4*t**4 - 2*t wrt t.
48*t**2
Let z(s) = s**3 + s**2 - 1. Let m(l) = 8*l**4 + l**3 - 8*l**2 - 1. Let d(h) = m(h) - z(h). Find the third derivative of d(r) wrt r.
192*r
What is the first derivative of -4*o - 40 + o - 2*o + 17*o wrt o?
12
Let l(y) = 2*y**2. Let g be l(1). Let d be g/1 + (1 - 1). Differentiate 2 + 2 + 2*p**2 - 3 + d with respect to p.
4*p
Let k be ((-59)/20 - 0) + (-15)/(-5). Let j(o) be the third derivative of k*o**5 + 0*o + 0*o