*o**2 + 2*o - o**q wrt o.
6
Let j(y) = -3*y**3 - 6*y + 5. Let p(g) = 4*g**3 + 7*g - 6. Let k(q) = 6*j(q) + 5*p(q). What is the second derivative of k(a) wrt a?
12*a
Suppose 2*v = -4*a + 5*v - 4, 0 = -3*a - 4*v + 22. Suppose 12 = 5*k + a. What is the second derivative of -4*w**2 + 2*w + 2*w**k + w**2 wrt w?
-2
Let l be 2*((-3)/2 + -2). Let o = l + 9. Find the second derivative of -11*k + 8*k + o*k + 3*k**2 wrt k.
6
Let t(u) = u**3 + 6*u**2 - u + 1. Let h be t(-6). What is the second derivative of -5*i - h*i**5 + 2*i + 0*i + i**5 wrt i?
-120*i**3
Suppose 4*j - 9 + 1 = 0. Suppose j = d - 2*d + 2*c, 3*d = 4*c. What is the derivative of 2*l**3 + l**2 + d - l**2 wrt l?
6*l**2
Suppose -4*d + 22 - 2 = 0. Let p(z) be the first derivative of 0*z + 0*z**4 + 0*z**d - z**2 - 1 - 1/6*z**6 + 0*z**3. Find the second derivative of p(h) wrt h.
-20*h**3
Let z(p) = 11*p**2 - 3*p + 17. Let y(w) = -22*w**2 + 5*w - 35. Let g(s) = 3*y(s) + 5*z(s). Differentiate g(u) wrt u.
-22*u
Let l(v) = -27*v**3 - 5*v**2 - 5*v + 68. Let b(y) = y**3 + y**2 + y - 1. Let x(k) = 5*b(k) + l(k). Find the first derivative of x(r) wrt r.
-66*r**2
Let t(q) be the third derivative of -q**5/12 + 5*q**4/24 + 6*q**2. Find the second derivative of t(j) wrt j.
-10
Let s(i) be the second derivative of -i**3/6 + 5*i**2 - i. Let m be s(8). Find the first derivative of -m*t - 2 + t + 3*t wrt t.
2
Let t(d) = d**3 + 6*d**2 - 6*d + 9. Let w be 40/(-6) + (-3)/9. Let h be t(w). Differentiate h - 5*q**3 + 5*q**3 + q**4 with respect to q.
4*q**3
Let n(i) = 76*i**5 + 7*i**3 + 20*i**2 - 7. Let b(w) = -25*w**5 - 2*w**3 - 7*w**2 + 2. Let r(f) = 7*b(f) + 2*n(f). What is the third derivative of r(h) wrt h?
-1380*h**2
Let m(c) = -c**2 - 5*c - 2. Let l be m(-2). Find the third derivative of 2*u**2 + u**2 - u**2 + l*u**6 wrt u.
480*u**3
Let k be (-2)/4*(6 + -10). What is the second derivative of -7*w + 3*w - 2 + k - 2*w**2 wrt w?
-4
Let y(g) be the second derivative of -1/2*g**4 + 1/3*g**3 + 7*g + 0 + 0*g**2. What is the second derivative of y(w) wrt w?
-12
Let u(i) be the first derivative of i**3 - i**2 + 4 + 0*i**3 - 6. What is the second derivative of u(m) wrt m?
6
Let q(u) = 6*u**2 + 6*u + 13. Let c(t) = -12*t**2 - 13*t - 27. Let o(y) = -6*c(y) - 13*q(y). Differentiate o(w) with respect to w.
-12*w
Find the second derivative of -2*d - 2*d + 2*d**2 - 2*d - d wrt d.
4
Suppose -3 + 15 = 4*u. Suppose u*n + 0*n = 12. What is the second derivative of 2*y - 4*y**4 + 0*y**4 + 6*y**n wrt y?
24*y**2
Let s(w) be the first derivative of 3*w**6/2 + w**3/3 + 3. What is the third derivative of s(t) wrt t?
540*t**2
Suppose v + 4*v = 85. Find the third derivative of f**2 - 17*f - 4*f**6 + v*f wrt f.
-480*f**3
Let p(s) be the first derivative of s**6/180 - s**4/8 - s**3/3 + 3. Let o(z) be the third derivative of p(z). Differentiate o(i) with respect to i.
4*i
Let c(v) be the second derivative of 0*v**7 - v + 0*v**3 + 0 + 0*v**2 + 0*v**5 + 0*v**6 - 1/4*v**4 + 1/14*v**8. What is the third derivative of c(r) wrt r?
480*r**3
Let p be 2 + (-10 - (0 + 2)). Let n be 5/p - (-1)/2. What is the first derivative of -3*b**2 + 1 + n + 2*b**2 wrt b?
-2*b
Let u(z) = 4*z**3 - 2*z**2 + 2*z + 4. Let x(b) = -9*b**3 + 5*b**2 - 5*b - 7. Let v(w) = 5*u(w) + 2*x(w). Differentiate v(q) wrt q.
6*q**2
Let h(y) be the second derivative of -3*y**5/10 + y**4/6 + 21*y**2/2 - 33*y. What is the first derivative of h(i) wrt i?
-18*i**2 + 4*i
What is the third derivative of 14*b**2 + 214 - 214 - 3*b**6 wrt b?
-360*b**3
Let y(r) = -4*r + 4 - 2 - 3. Let n(s) = -3*s - 1. Let w(c) = c - 16. Let a be w(10). Let q(x) = a*n(x) + 4*y(x). Find the first derivative of q(g) wrt g.
2
Let c(z) be the third derivative of z**8/840 - z**5/120 - 2*z**3/3 - 5*z**2. Let w(j) be the first derivative of c(j). Find the second derivative of w(b) wrt b.
24*b**2
Suppose -15 = 5*j - 40. What is the first derivative of j - t + t - 4*t + 0*t wrt t?
-4
Let z(n) be the first derivative of 3*n - 3 - 5/3*n**3 + 0*n**2. What is the first derivative of z(w) wrt w?
-10*w
Let k(b) be the first derivative of -5*b**4/4 + 19*b**2/2 + 28. What is the second derivative of k(w) wrt w?
-30*w
Let x(p) be the third derivative of 5*p**9/252 + 11*p**5/60 + 6*p**2. What is the third derivative of x(j) wrt j?
1200*j**3
Let i(b) = 2*b + 10. Let y be i(-3). Let w(v) be the third derivative of -1/24*v**y + 0 - 1/3*v**3 + 0*v + v**2. Find the first derivative of w(d) wrt d.
-1
What is the first derivative of -54*i - 43*i + 8*i + 21*i - 15 wrt i?
-68
Let w(s) = -12*s**5 + 6*s**3 - 6*s**2 - 11*s. Let k(m) = m**5 - m**3 + m**2 + m. Let i(a) = 6*k(a) + w(a). What is the second derivative of i(d) wrt d?
-120*d**3
Let g(x) be the third derivative of -x**7/280 + x**5/40 + x**3/2 - 4*x**2. Let m(d) be the first derivative of g(d). Find the second derivative of m(z) wrt z.
-18*z
Let n(z) be the first derivative of -2*z**5/5 - 9*z**2 - 10. Find the second derivative of n(u) wrt u.
-24*u**2
Let m(o) = -7*o**2 - 5*o + 11*o**2 - 7 + o**2 + 3 - 23*o**3. Let l(c) = 34*c**3 - 7*c**2 + 7*c + 6. Let d(k) = -5*l(k) - 7*m(k). Differentiate d(r) wrt r.
-27*r**2
Suppose g - 3 = 7. Suppose b = -4*b + g. What is the third derivative of -l**3 + 2*l**3 - l**b + l**3 wrt l?
12
Differentiate 29*t**2 - 27 + 56 + 4*t - 4*t wrt t.
58*t
Let t = 18 - 15. Let y(p) be the second derivative of p - 1/12*p**4 + 0*p**2 + 0 - 1/6*p**t. Find the second derivative of y(k) wrt k.
-2
Let i(h) = 2*h + 18. Let y be i(-8). Differentiate 2*b**y + 0 + 0 - 2 with respect to b.
4*b
Let o(c) be the first derivative of -7*c**6/30 + c**4/3 - 7*c + 1. Let v(j) be the first derivative of o(j). Find the third derivative of v(b) wrt b.
-168*b
Let a(l) be the third derivative of 3*l**7/35 - l**6/120 + 37*l**3/3 + 43*l**2. What is the first derivative of a(n) wrt n?
72*n**3 - 3*n**2
Let o(x) = x. Let d be o(6). Find the second derivative of 5*b + 3*b**4 - 7*b - d*b**4 wrt b.
-36*b**2
Let t(w) = 3*w**6 - 2*w**4 + w**2. Let j = -22 - -20. Let n(y) = y**4. Let z(i) = j*n(i) - t(i). What is the third derivative of z(h) wrt h?
-360*h**3
What is the first derivative of -51 - 36 + 97 - 11*k wrt k?
-11
Let i(t) be the third derivative of 0 + 6*t**2 + 0*t - 1/6*t**4 - 1/20*t**6 + 0*t**5 + 0*t**3. Find the second derivative of i(z) wrt z.
-36*z
Let w(j) be the second derivative of 1/12*j**4 + 0*j**3 + 1/10*j**6 - 2*j + 0 + 0*j**5 + 0*j**2. Find the third derivative of w(i) wrt i.
72*i
What is the third derivative of 4*s**2 + 2*s**5 - 2*s**5 - 8*s**2 - 2*s**6 wrt s?
-240*s**3
Find the second derivative of r - 3*r**5 + 0*r - 5*r + 4*r**5 wrt r.
20*r**3
Let f(w) be the third derivative of -w**6/36 + w**4/8 + 7*w**3/6 + 9*w**2. Let v(j) be the first derivative of f(j). Differentiate v(c) with respect to c.
-20*c
Let t(d) be the third derivative of -d**5/20 - d**4/8 - 7*d**2. Find the second derivative of t(l) wrt l.
-6
Let o(m) = -8*m**3 - 6*m. Let r(j) = j**3 + j. Let y(x) = o(x) + 10*r(x). Find the second derivative of y(f) wrt f.
12*f
Let r(m) = -44*m**2 + 6*m + 37. Let q(n) = 45*n**2 - 7*n - 36. Let d(b) = -6*q(b) - 7*r(b). Find the first derivative of d(c) wrt c.
76*c
Find the third derivative of 6*b**2 + 3*b**4 + b**6 - 9*b**2 - 3*b**4 wrt b.
120*b**3
Suppose -5*a + 5 + 5 = 0. Let f(p) be the first derivative of 1/4*p**4 - 1 + 0*p**a - 1/3*p**3 + 0*p. What is the third derivative of f(o) wrt o?
6
Let p(f) be the first derivative of -3*f**4/2 - 7*f - 2. What is the first derivative of p(v) wrt v?
-18*v**2
Suppose 8 = 2*d + 3*b, -2*d = -4*d - b + 8. What is the derivative of -d*j**3 + 2*j**3 - 3*j**3 - 1 + 2*j**3 wrt j?
-9*j**2
Suppose -36 = -0*t - 6*t. What is the second derivative of -7*q**2 - 2*q - 3*q**2 + t*q**2 wrt q?
-8
Let v(h) be the third derivative of h**6/40 + h**3/6 + 2*h**2. Differentiate v(w) wrt w.
9*w**2
Suppose -r + 2 = 2*f, 4*f = 3*r - 0*f - 6. Find the third derivative of -9*y + y**3 + 9*y + 3*y**r wrt y.
6
Let y(j) be the third derivative of 9*j**2 + 0*j**4 + 0*j**3 + 0*j**7 + 0*j + 0 - 1/336*j**8 + 3/20*j**5 + 0*j**6. Find the third derivative of y(h) wrt h.
-60*h**2
Let x(n) be the third derivative of 0*n + 0*n**7 + 5*n**2 + 0*n**6 + 0*n**5 + 1/112*n**8 + 0*n**3 + 0 - 1/24*n**4. What is the second derivative of x(s) wrt s?
60*s**3
Let k(c) = -6*c**2 - 3*c