 u?
-164*u**3
Let n be (1 + -3)*1 + 8. Find the second derivative of 15*r**2 + n*r + 4*r**4 - r**4 - 15*r**2 wrt r.
36*r**2
What is the second derivative of 36*b**4 - 17*b + 8*b - 12*b - 27*b**4 wrt b?
108*b**2
Let s(d) be the first derivative of 2 + 0*d**4 - 3/2*d**6 + 2*d**3 + 0*d**2 + 0*d + 0*d**5. What is the third derivative of s(z) wrt z?
-540*z**2
Let k(t) = t. Let a be k(2). Suppose p + 4 = a*p. Find the third derivative of -v**4 + v**2 + 2*v**p - 3*v**4 wrt v.
-48*v
Let p(s) be the second derivative of s**11/55440 - s**7/840 + s**4/12 - s. Let i(r) be the third derivative of p(r). What is the third derivative of i(v) wrt v?
120*v**3
What is the derivative of -32 + t**2 + 3*t**2 + 27 wrt t?
8*t
Let k(x) = x**2 - 3*x + 2. Let z be k(2). Let p be (5 + -4)*(z - -2). Find the third derivative of a**6 - 5*a**2 + 3*a**p + a**2 wrt a.
120*a**3
Let x(u) = -u**6 - 2*u**3 + u**2. Let f(l) = 2*l**6 + 3*l**3. Let m = -7 + 5. Let i(c) = m*f(c) - 3*x(c). Find the third derivative of i(a) wrt a.
-120*a**3
Let l(n) be the second derivative of n**4/6 - 5*n**3/6 - 7*n. Find the second derivative of l(g) wrt g.
4
Suppose 16 = -2*v - 2*v. Let q be (-2 + -4)*2/v. What is the first derivative of 4*l**q - 2*l**3 + 1 - 4*l**3 wrt l?
-6*l**2
Let l(b) be the first derivative of 7*b**4/4 + 4*b**3/3 + 5. Find the third derivative of l(x) wrt x.
42
Let k(n) be the third derivative of -8*n**7/105 + 17*n**4/24 - 7*n**2. Find the second derivative of k(a) wrt a.
-192*a**2
Let j(d) = -14 + 2*d**3 + 5*d**3 - 3*d + 13 - 2*d. Let g(x) = -8*x**3 + 6*x + 1. Let q(u) = -5*g(u) - 6*j(u). Differentiate q(b) wrt b.
-6*b**2
Let c(x) be the third derivative of 1/60*x**5 + 0*x + 0*x**3 - 1/24*x**4 + x**2 + 0. What is the second derivative of c(w) wrt w?
2
Let b be 3 + (-3)/1 - -4. What is the third derivative of b*p**6 - 3*p**6 - 9*p**6 - 4*p**2 wrt p?
-960*p**3
Let o(t) = t**4 - 6*t**3 - 7*t. Let x(c) = -5*c**3 - 7*c. Let j(k) = -5*o(k) + 6*x(k). Find the second derivative of j(u) wrt u.
-60*u**2
Let v be -3*((-2 - -2) + -1). Find the second derivative of v*p - 6*p**5 + 0*p**5 + 2*p**5 wrt p.
-80*p**3
Find the first derivative of 0*w**2 - 57*w**3 + 0*w**2 - 2608 + 2592 wrt w.
-171*w**2
Let v(w) = 29*w**4 - w**3 + 22*w**2 - 1. Let s(d) = -d**4 + d**3 + 1. Let a(x) = s(x) + v(x). What is the third derivative of a(k) wrt k?
672*k
Differentiate -68 + 97 - 18*u**3 - 36*u**3 with respect to u.
-162*u**2
Let b(k) be the second derivative of k**9/1512 - k**6/180 - k**3/2 + k. Let r(l) be the second derivative of b(l). What is the third derivative of r(h) wrt h?
120*h**2
What is the third derivative of -4*a**2 + 26*a**2 + 9*a**5 + 17*a**5 wrt a?
1560*a**2
Suppose -3*z - 15 = 2*c - 4, -c - 5*z - 23 = 0. Suppose 3*u - 6 = c*u. Find the third derivative of 0*g**2 - 2*g**2 - 8*g**5 + u*g**5 wrt g.
-120*g**2
Let b(n) be the third derivative of 11*n**7/105 - n**6/60 + n**5/60 - 7*n**3/2 + 46*n**2. What is the third derivative of b(a) wrt a?
528*a - 12
Let f = 5 + -3. Find the second derivative of 4*y - 5*y**2 - 3*y + 2*y**f wrt y.
-6
Let i(x) be the third derivative of -x**8/84 - x**5/10 + 5*x**2. What is the third derivative of i(l) wrt l?
-240*l**2
Let h(m) be the first derivative of 7*m**4/2 + 5*m**2 + 12. Find the second derivative of h(z) wrt z.
84*z
Let k(t) be the third derivative of 0*t**5 - 1/84*t**8 + 0 + 0*t**6 - 1/3*t**4 - 6*t**2 + 0*t**3 + 0*t**7 + 0*t. Find the second derivative of k(i) wrt i.
-80*i**3
Let z(c) be the first derivative of -40*c**7/7 + 16*c**3/3 + 33. What is the third derivative of z(t) wrt t?
-4800*t**3
Let c(m) = -2*m - 6. Let q be c(-4). Differentiate -y - 3 + y + 0 + 2*y**q wrt y.
4*y
What is the second derivative of -12*o**5 - 4*o + 5*o**5 - 15*o + 20*o**5 wrt o?
260*o**3
Suppose 0 = -2*n + 4*n - 18. Suppose b - n = -2*b. What is the first derivative of -2*y + 2*y + 5*y - b*y + 3 wrt y?
2
Find the second derivative of 2*o + 4*o - o - 2*o**3 - 5*o**3 wrt o.
-42*o
Let i(t) be the first derivative of 3*t**5/5 - 7*t - 6. What is the first derivative of i(o) wrt o?
12*o**3
Let s(i) = -i**4 - i**3. Let j(n) = n**5 - 3*n**4 - 3*n**3 + 3*n. Suppose 0*b - b = 1. Let u(r) = b*j(r) + 3*s(r). Find the second derivative of u(z) wrt z.
-20*z**3
Let j(q) be the first derivative of 0*q**2 + 3/4*q**4 + 0*q**3 + 1 - 2*q. What is the first derivative of j(n) wrt n?
9*n**2
Find the second derivative of -36*a**4 - 36*a - 451 + 451 wrt a.
-432*a**2
Let h(b) be the third derivative of -17*b**8/336 + 17*b**5/60 + 13*b**2. Find the third derivative of h(p) wrt p.
-1020*p**2
Suppose -4*g + 20 + 40 = 0. Suppose -h = -6*h - r + 12, -2*h + 3*r = -g. Find the first derivative of -k + k - h*k**3 + 2 wrt k.
-9*k**2
Find the second derivative of 8*q**3 - 4*q - 2*q**3 + 2*q - 10*q wrt q.
36*q
Let w(f) = -6*f + 4*f + 3*f. Let q = -10 + 11. Let j(r) = -3*r**2 + 2*r - 1. Let a(b) = q*j(b) - 2*w(b). What is the first derivative of a(y) wrt y?
-6*y
Let f(i) = i**2 - i + 1. Let w(x) = -42*x**2 + 24*x - 12. Let l(c) = 24*f(c) + w(c). Differentiate l(s) with respect to s.
-36*s
What is the third derivative of 10*y**3 - 8*y**2 - 9*y**3 + 13*y**3 wrt y?
84
Let o(w) be the first derivative of 1/6*w**6 + 1 - w**2 + 0*w + 0*w**5 + 0*w**3 + 0*w**4. What is the second derivative of o(u) wrt u?
20*u**3
Let n(g) = 13*g**2 + 16*g. Let r(d) = 12*d**2 + 16*d. Let v(q) = 3*n(q) - 4*r(q). What is the second derivative of v(a) wrt a?
-18
What is the second derivative of 13*d - 7475*d**4 - 2*d**5 + 21*d**2 + 7475*d**4 - 2 wrt d?
-40*d**3 + 42
Let q(h) be the third derivative of -3*h**5/5 + 7*h**4/12 + 21*h**2. What is the second derivative of q(t) wrt t?
-72
Let k(h) be the second derivative of 2*h**6/15 + 5*h**4/6 - 22*h. Find the third derivative of k(v) wrt v.
96*v
Let m(d) = -d**6 + d**4 - d**3 - d**2. Let t(k) = 2*k**6 - 5*k**4 + 5*k**3 - 5*k**2. Let l(a) = -5*m(a) - t(a). What is the third derivative of l(w) wrt w?
360*w**3
Let b(x) = -10*x**3 + 2*x**2 - 13*x - 2. Let a(w) = w**3 + w**2 - w - 1. Let z(r) = 6*a(r) - 3*b(r). Find the second derivative of z(c) wrt c.
216*c
Suppose -2*h = -2 - 2. Let v(w) be the first derivative of 1/2*w**h + 0*w + 3 + w**3. What is the second derivative of v(j) wrt j?
6
Let r(o) = o - 1. Let y be r(6). Suppose -4*b = -3*b - 5, -2*b = -5*s. Find the third derivative of -f**y + 5*f**5 + 2*f**2 + 2*f**s wrt f.
240*f**2
Let z(k) = 5*k**3 + 31*k**2 + 13*k + 13. Let d(h) = 3*h**3 + 15*h**2 + 6*h + 6. Let x(s) = 13*d(s) - 6*z(s). Find the third derivative of x(f) wrt f.
54
Let s(m) be the second derivative of 2*m**2 + m + 0*m**3 + 5/12*m**4 + 0. What is the first derivative of s(z) wrt z?
10*z
Find the third derivative of 0*j**6 + 6*j**6 + j**6 - 8*j**6 + 6*j**2 wrt j.
-120*j**3
Let d(n) be the first derivative of -71*n**3/3 - 35*n - 49. What is the derivative of d(x) wrt x?
-142*x
Let w = 8 + -5. What is the derivative of -2*y**w + 0 - 3 + 2*y**3 - 3*y**4 wrt y?
-12*y**3
Let z(p) be the second derivative of 5*p**3/3 - 2*p**2 + 2*p. What is the derivative of z(s) wrt s?
10
Let a(x) be the third derivative of x**7/280 - x**6/360 - 2*x**3/3 + 4*x**2. Let w(f) be the first derivative of a(f). Find the third derivative of w(n) wrt n.
18
Let a(l) be the second derivative of -4*l + 1/6*l**3 + 1/12*l**4 + 0 + 0*l**2. Find the second derivative of a(c) wrt c.
2
Let g(p) = -5*p + 3. Let k(j) = j. Let a(s) = g(s) + 4*k(s). Let n(v) = -v + 3. Let m(t) = 3*a(t) - 2*n(t). Find the first derivative of m(q) wrt q.
-1
Suppose 5*m - 14 = 1. Let d = -3 + m. What is the derivative of n + d + 1 + 0*n wrt n?
1
Differentiate -13*z + 1 + 0 - 2 - 2 with respect to z.
-13
Let u(n) = -n**3 - n + 1. Let o(w) = -61*w**3 + 14*w**2 + 4*w - 4. Let d(i) = o(i) + 4*u(i). What is the third derivative of d(v) wrt v?
-390
Let v(k) be the second derivative of k**7/140 + k**6/60 - 5*k**3/6 + 2*k. Let z(c) be the second derivative of v(c). Find the third derivative of z(p) wrt p.
36
Suppose 0 = 2*r - 2*v - 14 - 6, -4*r - 2*v + 16 = 0. Find the first derivative of 2*c**3 + r + 0 - 5 - 4 wrt c.
6*c**2
Let h be (-2)/6 + 20/15. Find the first derivative of 7 - h + 4*k**4 + 0 wrt k.
16*k**3
Find the second derivative of 23*o**3 + 1844 + 7*o - 1844 wrt o.
138*o
Let v(p) = p**3 + 1. Let d(u) = -3*u**4 - 6*u**3 - 19. Let a(x) =