
Suppose 0*u = u. Let s(r) be the second derivative of 1/10*r**5 + 0 + u*r**2 + 0*r**4 - 1/3*r**3 + r. What is the second derivative of s(z) wrt z?
12*z
What is the second derivative of 8*i**3 + 10*i + i**3 + 9*i wrt i?
54*i
Find the second derivative of -8*b**4 - 9*b**4 - 35*b + 29*b + 25*b wrt b.
-204*b**2
Let s(k) = -27*k - 12. Let x(t) = -t + 2. Let a(r) = 2*r - 3. Let i(o) = 3*a(o) + 5*x(o). Let d(b) = 18*i(b) + s(b). Differentiate d(z) wrt z.
-9
Let s(c) = 53*c**2 - 51*c - 11. Let f(d) = 27*d**2 - 26*d - 6. Let p(t) = -11*f(t) + 6*s(t). Find the second derivative of p(r) wrt r.
42
Let t(i) be the third derivative of i**6/8 - 7*i**4/12 + 8*i**2. What is the second derivative of t(u) wrt u?
90*u
Let w(u) = -u - 3. Suppose -3*a + 4*a + 5 = 0. Let l be w(a). What is the derivative of l*d**3 + 0 - 5 + 3 wrt d?
6*d**2
Let d be 4 + -1*(-2)/(-2). Differentiate 5 - 4 + d*s + 3 with respect to s.
3
Let w(r) = -8*r**4 - 4*r**2 - 11. Let f(o) = 9*o**4 + 5*o**2 + 11. Let k(s) = -4*f(s) - 5*w(s). What is the first derivative of k(z) wrt z?
16*z**3
Let b(d) = -3*d**2 + 2*d - 2*d - 6*d + 3*d. Let x(n) = -n**2. Let w(v) = b(v) - 6*x(v). What is the second derivative of w(h) wrt h?
6
Let l(s) be the first derivative of 2 + s**2 + 0*s + 2/3*s**3. What is the second derivative of l(v) wrt v?
4
Let n = -10 + 13. What is the first derivative of 4*w**2 + 7 + 3*w**3 - w**2 - n*w**2 wrt w?
9*w**2
What is the second derivative of 6*c**3 + 3*c**3 + c**3 + 6*c wrt c?
60*c
Let z(k) = 2*k**2 - k - 4. Let r be z(3). Suppose -23 = -3*s + 2*s + 4*t, r = -3*s - 4*t. What is the second derivative of -q - 2*q**4 - q**4 + s*q wrt q?
-36*q**2
Let f be 0/(-2*6/4). What is the third derivative of -3*i**3 + 3*i**2 + f*i**2 + 6*i**3 wrt i?
18
Let z(j) be the second derivative of -j**6/6 + j**2/2 - 3*j. Differentiate z(r) with respect to r.
-20*r**3
Differentiate -25*j**4 - 257 + 255 + 9*j**4 with respect to j.
-64*j**3
Let n(j) be the first derivative of 3*j**4/2 - 6*j + 8. Differentiate n(w) wrt w.
18*w**2
What is the first derivative of -32*k - 14*k**2 + 32*k - 8 - 7 wrt k?
-28*k
Let v(q) = -21*q**2 - 16*q + 6. Let u(g) = -g**2 - g - 1. Let p(y) = -6*u(y) - v(y). Find the second derivative of p(a) wrt a.
54
Let a be ((-33)/9 - -3)*-3. Find the third derivative of -29 + 29 + 6*b**a - 6*b**4 wrt b.
-144*b
Let h be ((-2)/(-4))/((-1)/(-4)). What is the second derivative of -2*j + 4*j**2 - 4*j**2 - j - 3*j**h wrt j?
-6
What is the third derivative of 69*b**5 - 44*b**5 - 4*b**2 + 3*b**2 - 6*b**2 wrt b?
1500*b**2
Let d(b) be the second derivative of -b**5/40 + b**4/24 + b**3/2 + 2*b. Let r(n) be the second derivative of d(n). Differentiate r(c) with respect to c.
-3
Suppose 0 = -3*f - 0*f. Let g be (f/3)/(2 + -4). What is the second derivative of -3*u**2 - u + g*u**2 + u**2 wrt u?
-4
Let t(i) be the first derivative of 22*i**7/7 + 22*i**3/3 + 8. What is the third derivative of t(k) wrt k?
2640*k**3
Suppose 8*y = 6*y + 4. Find the first derivative of 1 - 2 - 5 + 34*f**y - 31*f**2 wrt f.
6*f
What is the second derivative of 20*l**2 + 18 - 18 - 5*l wrt l?
40
Let m(i) be the third derivative of i**7/105 + i**4/24 - 10*i**2. Find the second derivative of m(d) wrt d.
24*d**2
Suppose 4 = 4*j - 4. What is the first derivative of 0*u - 2*u + 2*u + 3*u**j + 2 wrt u?
6*u
Suppose 24 = 3*v - 0*v. Suppose -w + 3*w = v. Differentiate 5 - 2*s**3 - w + 4*s**3 with respect to s.
6*s**2
Let q(d) be the second derivative of d**7/840 - d**6/720 - d**4/6 - d. Let r(o) be the third derivative of q(o). Find the second derivative of r(b) wrt b.
6
Let k(t) = t**2 - t - 5. Let c be k(4). What is the second derivative of -c*i**3 + 4*i + 0*i + 2*i - 3*i wrt i?
-42*i
Let v(t) be the third derivative of t**7/70 + t**5/6 - 11*t**2. Find the third derivative of v(c) wrt c.
72*c
Let s(k) = k**3 + 7*k**2 - 3*k. Let g(r) be the first derivative of r**3 - r**2/2 - 2. Let f(m) = -7*g(m) + 3*s(m). What is the second derivative of f(x) wrt x?
18*x
Let j = 14/15 - 3/5. Let x(m) be the first derivative of j*m**3 + 0*m + 1/3*m**6 + 0*m**5 + 1 + 0*m**4 + 0*m**2. What is the third derivative of x(c) wrt c?
120*c**2
Let u = 6 + -3. Suppose -5*o = -6*o + 3. Differentiate 0*i + o*i + 0*i + u with respect to i.
3
Let b(d) = -d**2 - 3*d. Let t be b(-2). Let g be 1 - (t - (-2 + 5)). What is the third derivative of g*c**5 - c**5 + c**5 - c**2 wrt c?
120*c**2
Differentiate 7*m**2 - 8 - 7*m + 7*m + 0*m with respect to m.
14*m
Suppose 0 = -3*t + 121 - 1. Let l be t/15 + 1/3. What is the second derivative of l + 2*s**2 - s - 3 wrt s?
4
Let a(m) be the first derivative of -7*m**3 - 18*m - 10. Find the first derivative of a(v) wrt v.
-42*v
Let k(t) = -t**2 + t - 1. Let r be k(4). Let z = -9 - r. Differentiate -s + 2*s**z + s - 1 with respect to s.
8*s**3
Suppose -13 = -2*q - 5. Let y(i) = 5*i**4 - 3*i**2 + 2. Let t(a) = 4*a**4 - 2*a**2 + 1. Let v(s) = q*y(s) - 6*t(s). Find the first derivative of v(d) wrt d.
-16*d**3
Let d(u) = 55*u**4 - 7*u**3 - 7*u + 26. Let r(g) = 18*g**4 - 2*g**3 - 2*g + 9. Let x(z) = -2*d(z) + 7*r(z). Differentiate x(k) wrt k.
64*k**3
Let x(l) be the second derivative of -l**5/15 + l**4/24 + l**2/2 - 3*l. Let f(o) be the first derivative of x(o). Find the second derivative of f(n) wrt n.
-8
Let n(b) be the third derivative of 31*b**8/336 - 2*b**5/3 + 30*b**2. Find the third derivative of n(u) wrt u.
1860*u**2
Find the third derivative of 0*r**2 - 4*r**2 - 3*r**4 + 0*r**2 wrt r.
-72*r
What is the third derivative of 8*k**2 - 19*k**4 + 10*k**4 + 2*k**4 wrt k?
-168*k
Let q(b) = -b**4 - b**2 + b + 1. Let g(o) = -13*o**4 + 3*o**2 - 3*o + 3. Let y(l) = -g(l) - 3*q(l). Differentiate y(r) with respect to r.
64*r**3
What is the second derivative of -469*w**3 + 6*w - 9*w**5 + 469*w**3 wrt w?
-180*w**3
Suppose 0 = -s + 3 - 0. Let y(b) = -9*b**3 + 8*b + 2. Let x(v) = 10*v**3 - 8*v - 3. Let z(w) = s*y(w) + 2*x(w). What is the second derivative of z(o) wrt o?
-42*o
Let h = 6 + -5. Differentiate -4*t**2 - 2 + h + 2*t**2 wrt t.
-4*t
Let w(c) be the second derivative of -c**6/40 - c**4/12 - 3*c**2/2 + c. Let k(x) be the first derivative of w(x). What is the second derivative of k(u) wrt u?
-18*u
Suppose 0*c = -3*c + 12. What is the second derivative of -6*o**c - 4*o + 0*o**2 + 0*o**2 + 8*o wrt o?
-72*o**2
Let m(c) be the second derivative of 3*c**5/20 + c**4/2 + 4*c. Find the third derivative of m(f) wrt f.
18
Let m be (0 - 0)/(-11 + 15). Let h(i) be the first derivative of 0*i**2 + m*i - 2/5*i**5 + 0*i**4 + 1 + 1/3*i**3. Find the third derivative of h(r) wrt r.
-48*r
Let z = 1 + 15. Let r be ((-36)/z)/(3/16). Let x(n) = n**3. Let o(h) = -5*h**3 - 1. Let i(w) = r*x(w) - 3*o(w). Differentiate i(u) wrt u.
9*u**2
Let g(s) be the first derivative of 9*s**4/4 - 2*s**3/3 + 7. What is the third derivative of g(l) wrt l?
54
Differentiate 0*r**3 - 10*r**3 - 55 + 51 with respect to r.
-30*r**2
Let j = 35 - 21. Let u = j + 1. What is the second derivative of 3*b**3 + 14*b - 2*b**3 - u*b wrt b?
6*b
What is the third derivative of 466*t**4 + 23*t**2 - 423*t**4 - 76*t**2 wrt t?
1032*t
Let c(f) = 2*f**3 - 2. Let h(a) = -a**3 + 1. Let x(w) = -5*c(w) - 6*h(w). Differentiate x(j) wrt j.
-12*j**2
Let z(a) = -a**2 + 6*a - 4. Let g be z(4). Find the first derivative of 0 - 1 - 2*q + g - 1 wrt q.
-2
Let t(y) be the third derivative of y**7/35 - y**5/3 + 20*y**2. Find the third derivative of t(b) wrt b.
144*b
Suppose z = -z + 10. Find the second derivative of -z*v**5 + v**3 - 5*v - v**3 + 0*v**3 wrt v.
-100*v**3
Suppose w = -5*d + 28, 4*w = -w + 2*d + 32. Let k be (2/(-4))/((-2)/w). Differentiate 0*i**4 + k - i**4 - i**4 wrt i.
-8*i**3
Let f = 26 + -11. Let w be 6/f*(2 - -3). Find the second derivative of 2*h - 2*h**w - 7*h + 3*h wrt h.
-4
Let g(t) be the second derivative of t**7/42 + t**3/6 - 6*t. Find the second derivative of g(x) wrt x.
20*x**3
Find the third derivative of 2*r**6 + 0*r**6 + 15*r**2 + 3*r**6 + 0*r**2 wrt r.
600*r**3
Suppose -q = -9 + 6. Suppose q*b = -b, -5*o = 3*b - 20. Find the third derivative of -3*g**o - 4*g**4 + 2*g**2 + 3*g**4 wrt g.
-96*g
Let s(h) be the first derivative of h**5/10 + h**2 - 5*h + 3. Let z(n) be the first derivative of s(n). Differentiate z(l) wrt l.
6*l**2
Let t(m) be the third derivative of 11*m**6/120 - 2*m