2
Find the third derivative of -2*o**6 - 2*o**2 + 7*o**6 - 2*o**6 - o**6 wrt o.
240*o**3
Let i = -2 + -2. Let x(u) = 2*u**2 + u + 4. Let o(p) = 1. Let y(w) = i*o(w) + x(w). Find the second derivative of y(j) wrt j.
4
What is the third derivative of 2*b - 3*b**4 + 21*b**2 + b**4 - 2*b wrt b?
-48*b
Let q(u) be the first derivative of u**9/756 - u**5/60 - 2*u**3/3 - 2. Let a(j) be the third derivative of q(j). What is the second derivative of a(c) wrt c?
80*c**3
Let t be (0 - -1)*(-1)/(-1). Let r be (t/2)/((-3)/(-18)). Find the third derivative of -6*y**r + 2*y**4 - 2*y**2 + 6*y**3 wrt y.
48*y
Let v(c) = c**2 - 5*c - 3. Let a be v(6). Suppose 0 - 4 = -4*j, -t - 2 = -5*j. What is the second derivative of t - 3*p**2 + p - a - 4*p wrt p?
-6
Let n(t) = t + 2. Let o be n(0). Differentiate 2 - 13*r**o + 5*r**2 - 5 + 7 wrt r.
-16*r
What is the third derivative of -3*o**2 - 16*o**5 + 22*o**5 - 3*o**2 wrt o?
360*o**2
Let f(y) be the third derivative of -1/40*y**6 + 1/6*y**5 + 0*y**3 + 0*y + 0 + 8*y**2 + 0*y**4. What is the third derivative of f(v) wrt v?
-18
Suppose -18 = -2*t - t. What is the derivative of -x + t*x - 3 - 2*x - x wrt x?
2
Let g(d) = -d + 2. Let b be g(0). Find the third derivative of -3*r**b - 4*r**5 - 2*r**2 - r**2 wrt r.
-240*r**2
Let h(a) = 27*a**4 - 4*a**2 + 27*a - 4. Let x(c) = -82*c**4 + 11*c**2 - 81*c + 11. Let g(q) = 11*h(q) + 4*x(q). What is the second derivative of g(v) wrt v?
-372*v**2
Let q(j) be the third derivative of j**5/60 + j**4/12 - 9*j**2. Find the second derivative of q(s) wrt s.
2
What is the third derivative of 810*i + 31*i**6 - 22*i**2 - 810*i wrt i?
3720*i**3
Let i(p) = -7*p - 3. Let m be i(-3). What is the second derivative of 0*n + 13*n**4 - 3*n - m*n**4 wrt n?
-60*n**2
Let k(i) = -i + 1. Let b(t) = -3*t**2 + 15*t - 9. Let x(c) = 2*b(c) + 18*k(c). What is the second derivative of x(q) wrt q?
-12
Let w(z) be the first derivative of 30*z**7/7 + 13*z**3/3 + 23. What is the third derivative of w(t) wrt t?
3600*t**3
Let a(i) be the third derivative of -i**8/56 - i**4/6 - 5*i**2. Find the second derivative of a(m) wrt m.
-120*m**3
Let c(g) = 16*g**3 + 18*g**2 - 2. Let h(t) = 63*t**3 + 71*t**2 - 9. Let r(k) = 9*c(k) - 2*h(k). Find the third derivative of r(d) wrt d.
108
Let d(n) = 10*n**2 + n - 1. Let s be d(1). Let j be (-4)/s*(0 + -5). Differentiate j*z**2 + 4*z**2 - 3 - 8*z**2 wrt z.
-4*z
Let f(q) = -5*q**2 - 2*q - 2. Let v(b) = -20*b**2 - 8*b - 9. Let o be 2 + -13 + 2/1. Let u(a) = o*f(a) + 2*v(a). What is the second derivative of u(t) wrt t?
10
Suppose -4*o - 4 = -12. Find the third derivative of s**o + 2*s**4 + 0*s**2 + 0*s**2 wrt s.
48*s
Differentiate 4*z**2 + 4 - z**3 + z**2 - 5*z**2 with respect to z.
-3*z**2
Let w(c) be the third derivative of c**7/21 + 3*c**4/4 + c**2. What is the second derivative of w(n) wrt n?
120*n**2
Let f(t) = -t - 2. Let c be f(-7). Let b = 18 - 13. Find the second derivative of 2*o**c + o - o**5 + o**b wrt o.
40*o**3
Let z(s) = -s**2 + 8. Let n(f) = 7. Let q(y) = 3*n(y) - 4*z(y). Find the first derivative of q(c) wrt c.
8*c
Let n(g) be the third derivative of 0*g**5 + 0 + 0*g**3 - 1/120*g**6 + 0*g + 3*g**2 - 1/12*g**4. Find the second derivative of n(r) wrt r.
-6*r
Let h(g) be the third derivative of -2*g**8/21 - 5*g**4/4 + 8*g**2. What is the second derivative of h(a) wrt a?
-640*a**3
Let k(z) be the second derivative of 0*z**3 - z + 3/2*z**2 - 1/4*z**4 + 0. What is the first derivative of k(l) wrt l?
-6*l
Let i(x) be the third derivative of -11*x**8/336 - x**4/8 + 10*x**2. Find the second derivative of i(d) wrt d.
-220*d**3
Let l be 5/((-5)/2)*-1. What is the second derivative of 6*g**l - 4 + 3*g + 7 - 3 wrt g?
12
Let f(j) be the second derivative of -19*j**3/6 - 9*j**2 + 16*j. Find the first derivative of f(a) wrt a.
-19
Let d(i) be the first derivative of 3/2*i**2 - 6 - 6*i. What is the first derivative of d(j) wrt j?
3
Let j(k) = -k**2 - 3*k + 3. Let v(m) = -3*m**2 - 8*m + 9. Let s(r) = -3*r + 7. Let h be s(5). Let t(b) = h*j(b) + 3*v(b). Differentiate t(w) with respect to w.
-2*w
Find the third derivative of 52 + 21*z**2 - 101 - 22*z**4 + 49 wrt z.
-528*z
Let m be 10/(-4)*16/(-20). What is the second derivative of -6*u + u + u + m*u**3 wrt u?
12*u
Let s(n) = -1. Let h(t) = t - 9. Suppose 1 = j - 0. Let b(i) = j*h(i) - 4*s(i). What is the first derivative of b(p) wrt p?
1
Let u(d) be the third derivative of -d**6/15 - d**5/12 + 14*d**2. Find the third derivative of u(s) wrt s.
-48
Let k(m) be the third derivative of -m**8/168 + m**4/24 + 7*m**2. Find the second derivative of k(q) wrt q.
-40*q**3
Let c = 2 - -5. Find the second derivative of -3*b + c*b - 2*b**4 - b - b**4 wrt b.
-36*b**2
Let b(r) = 0*r - r - 1 - r**2 + 2. Let p(k) = 8*k**2 + 7*k - 5. Let i(t) = -14*b(t) - 2*p(t). What is the derivative of i(u) wrt u?
-4*u
Suppose -5*z + 4*z = -2. Find the second derivative of -q - z*q**2 + 6*q**2 - 3*q wrt q.
8
Let t(k) be the second derivative of -19*k**5/20 + 23*k**3/6 - 19*k. What is the second derivative of t(x) wrt x?
-114*x
Suppose -v - 21 = -4*f - 0*v, -3*f = 4*v - 30. What is the first derivative of -3 + f + 4*a**3 - a**3 wrt a?
9*a**2
Suppose -l + 4 = 1. Let v(k) be the first derivative of -2/3*k**l + 2 + 0*k**2 + 2*k. What is the derivative of v(j) wrt j?
-4*j
Suppose 2*r - y - 4*y - 28 = 0, 5*r - 5*y - 40 = 0. What is the second derivative of -r*g + 6*g**4 + g + 4*g wrt g?
72*g**2
Suppose 0*m - 10 = -2*m. Find the second derivative of 2*q - q - 4*q**m + 0*q + 2*q**5 wrt q.
-40*q**3
Let z(f) be the third derivative of -4*f**5/15 + 11*f**4/24 + 16*f**2. What is the second derivative of z(r) wrt r?
-32
Let c(w) = -w**2 + 9*w - 3. Let q be c(8). Let d be 1 + 0 + 2/1. Differentiate -5 + 5 + d - q - r**4 wrt r.
-4*r**3
Let f(k) be the second derivative of k**6/10 - 5*k**3/6 - 7*k. What is the second derivative of f(h) wrt h?
36*h**2
Let p(i) = -8*i**2 + 14. Let j(x) = 4*x**2 - 7. Let m(n) = -10*j(n) - 6*p(n). Differentiate m(b) wrt b.
16*b
Differentiate -4*a - 11*a - 19 + a - 2*a with respect to a.
-16
Suppose l - 1 = -2*r, 5*l - 3*r - 13 - 18 = 0. What is the third derivative of -5*w**2 - 4*w**4 + w**l + 4*w**4 + 0*w**2 wrt w?
60*w**2
Let i(d) = 4*d**2 - d. Let g be i(1). Differentiate -4*f**3 - 3*f**3 + f**g + 5 wrt f.
-18*f**2
Let q(v) be the third derivative of v**8/16 - 5*v**4/12 - 16*v**2. What is the second derivative of q(a) wrt a?
420*a**3
Find the third derivative of 2 + 50*c**2 - 6110*c**3 + 26*c**4 - 2 + 6108*c**3 wrt c.
624*c - 12
Let f(b) = -b**2 + 5*b + 8. Let a be f(6). What is the third derivative of k - 2*k - 2*k**5 + k - 2*k**a wrt k?
-120*k**2
Let c(m) = -2*m - 1. Let v be c(-5). Suppose -3*a + v = 5*z, -2*a + 6 = 4*z - 2*z. What is the second derivative of -b - 2*b**5 + a*b + 4*b**5 wrt b?
40*b**3
Let d(c) = -c - 10. Let j be d(-6). Let v = 8 + j. Find the third derivative of b**2 - v*b**4 + 4*b**4 + b**4 wrt b.
24*b
Let v(l) = -l - 1. Let x be v(-5). Find the first derivative of x - 2*n**3 - 1 - 1 - 6 wrt n.
-6*n**2
Let u(r) be the third derivative of 0*r - 4/3*r**3 - 2/15*r**5 + 0*r**4 + 0 + 3*r**2. What is the first derivative of u(d) wrt d?
-16*d
Let z = -5 - -7. Suppose -8 = -12*y + 8*y. Find the second derivative of -2*x**y + x**2 + z*x + 0*x**2 wrt x.
-2
Let a(p) be the second derivative of 0*p**3 - 1/6*p**4 + 0 + 8*p - 1/14*p**8 + 0*p**2 + 0*p**7 + 0*p**5 + 0*p**6. Find the third derivative of a(t) wrt t.
-480*t**3
Let y(z) be the second derivative of -3*z**5/2 + 17*z**2/2 - 25*z. What is the derivative of y(o) wrt o?
-90*o**2
Differentiate -2 + 0 - 4 + 1 + 16*c wrt c.
16
Let r(w) = -w**3 - 3*w**2 + 3*w - 3. Let p be r(-4). Let k be (-1)/((-1)/p) + 2. What is the second derivative of 12*j - 13*j + 0*j**2 - k*j**2 wrt j?
-6
Let o(u) be the first derivative of -3*u**5/5 - 26*u**2 + 49. Find the second derivative of o(x) wrt x.
-36*x**2
Let v(t) be the first derivative of -t**6/30 - t**5/30 - t**2 + 5. Let s(h) be the second derivative of v(h). What is the third derivative of s(x) wrt x?
-24
Let r(g) be the third derivative of -g**6/120 - g**5/20 - g**3/3 - 3*g**2. Differentiate r(m) wrt m.
-3*m**2 - 6*m
Let n(r) = -9*r**4 - 8*r**3 - 11. Let c(k) = -3*k**4 - 3*k**3 - 4. Suppose 0*w = -5*w - 40. Let x(l) = w*c(l) + 3*n(l). Differentiate x(v) wit