36*z**3
Let y(c) be the third derivative of -5*c**8/336 + c**5/15 + 6*c**2. Find the third derivative of y(p) wrt p.
-300*p**2
Let t(q) be the second derivative of q**10/15120 + q**7/840 + q**4/3 + 3*q. Let k(n) be the third derivative of t(n). Find the third derivative of k(u) wrt u.
120*u**2
Differentiate 44*b**2 - 48*b**2 + 3 + 4 with respect to b.
-8*b
Let x(p) be the third derivative of -p**9/2160 - p**6/240 - p**4/24 - p**2. Let o(t) be the second derivative of x(t). Find the second derivative of o(h) wrt h.
-84*h**2
Suppose -18 = -4*t - 3*b, -4*b - 6 = -4*t - 2. What is the second derivative of -t*m**3 + 9*m + 5*m**3 - 5*m wrt m?
12*m
Let f(y) be the second derivative of 0 + 0*y**3 + 3/2*y**2 - 10*y + 5/6*y**4. Differentiate f(v) wrt v.
20*v
Let o(q) be the first derivative of -48*q**5/5 - 4*q**2 - 60. What is the second derivative of o(l) wrt l?
-576*l**2
Find the third derivative of 49*r**4 - 68*r**4 + 5*r**2 + 41*r**4 + 6*r**2 wrt r.
528*r
Let s = 3 - 1. Let x(z) = z**3 - 5*z**2 + 2. Let a be x(5). What is the third derivative of -o**s - 2*o**5 + 4*o**5 - o**a wrt o?
120*o**2
Suppose -v + 6 = -p, 5*p + 11 + 13 = 2*v. What is the third derivative of -z**v + 6*z**5 - 3*z**5 + 2*z**2 wrt z?
180*z**2
Let p(c) be the first derivative of -3*c**4 - 3*c**2 + c + 39. What is the second derivative of p(v) wrt v?
-72*v
What is the derivative of -20 - 4*d**4 + 10*d**4 + 15*d**4 wrt d?
84*d**3
Let v be (0 - 2 - -3) + 1. Suppose -j + d = -5, -v*j + 5*j + 3*d = 33. What is the second derivative of j*u + u**2 - 3*u - 8*u wrt u?
2
Let i(w) = -w**2 - 5*w - 4. Let o be i(-3). Let f be o/4 - (-3)/2. What is the derivative of -f*v - 4 + 3 + 0 wrt v?
-2
What is the derivative of 8 - u**3 + 0*u**3 - 15 wrt u?
-3*u**2
Let a(f) = -f - 8. Let y(q) = 2*q + 16. Let n(b) = -9*a(b) - 4*y(b). Let d be n(-6). What is the third derivative of d*o**3 + 2*o**2 - 2*o**2 - o**2 wrt o?
12
Let d(r) = 16*r**4 + 12*r + 3. Let c(g) = -31*g**4 - 25*g - 5. Let s(t) = -3*c(t) - 5*d(t). Find the second derivative of s(j) wrt j.
156*j**2
Let r(s) be the third derivative of -s**9/504 - s**5/3 - 6*s**2. What is the third derivative of r(f) wrt f?
-120*f**3
Let i = -3 - -5. Find the second derivative of i*x + 4*x**4 - x**4 - 3*x wrt x.
36*x**2
Suppose -5 = -4*w + 2*z + 23, -5*w - 4*z = -9. Find the second derivative of 4*t**5 + t - w*t**5 + 6*t wrt t.
-20*t**3
Suppose -2*c + 0*c + 4*w + 18 = 0, 18 = 3*c - 3*w. Find the second derivative of -5*x + x + 6*x + c*x**2 wrt x.
6
Let k(j) = -14*j**5 + 2*j**4 - 2*j**3 - 23*j**2 - 2*j. Let r(q) = q**5 + q**4 - q**3 - q. Let m(a) = k(a) - 2*r(a). Find the third derivative of m(g) wrt g.
-960*g**2
Suppose -4*n - 8 = 0, -3*t + 8*t + n + 22 = 0. Let r = 7 + t. Find the second derivative of -4 - 3*s + 4 + 3*s**r wrt s.
18*s
Let m(y) be the first derivative of 1/6*y**3 + 2 - 1/2*y**2 - 2*y. Let v(k) be the first derivative of m(k). What is the derivative of v(p) wrt p?
1
Suppose -7 - 1 = -2*r. Let k be 10/3 - (-2)/(-6). What is the second derivative of -k*t + t + t**4 + 0*t**r wrt t?
12*t**2
Suppose 0 = -3*s + 2*b + 17, -3*s + 10 = -5*s - 4*b. What is the second derivative of -4*w + 10*w**4 + 3*w**4 - 5*w**4 - s*w wrt w?
96*w**2
Let y(t) be the third derivative of 1/6*t**4 + 0 + 0*t + 0*t**3 + 3*t**2 - 1/20*t**5. Find the second derivative of y(a) wrt a.
-6
Find the second derivative of -3*x**5 + 96*x**2 + 3*x - 96*x**2 wrt x.
-60*x**3
Let y(b) = 35*b**4 + 5*b**2 - 27*b + 5. Let c(n) = -18*n**4 - 3*n**2 + 14*n - 3. Let f(m) = -5*c(m) - 3*y(m). Find the second derivative of f(d) wrt d.
-180*d**2
Let g(f) be the second derivative of -23*f**7/42 - 49*f**3/6 - 20*f. Find the second derivative of g(w) wrt w.
-460*w**3
Let s(u) = -7*u + 2. Let p(z) = -z. Let i(h) = 6*p(h) - s(h). What is the first derivative of i(r) wrt r?
1
Let f(r) = 3*r**3 + 9*r**2 - 6*r - 9. Let q(h) = h**2 - h - 1. Let g(j) = -f(j) + 9*q(j). Find the second derivative of g(n) wrt n.
-18*n
Let o(g) = g**2 + 3. Let s(j) = -j**4 - 2*j**2 - 8. Let t(h) = -8*o(h) - 3*s(h). Find the third derivative of t(m) wrt m.
72*m
Let i(k) be the third derivative of -k**9/7560 - k**5/40 + k**4/8 + 2*k**2. Let l(c) be the second derivative of i(c). Find the first derivative of l(p) wrt p.
-8*p**3
Let t(k) be the third derivative of -k**9/7560 - k**5/24 - k**4/24 + 2*k**2. Let l(c) be the second derivative of t(c). Find the first derivative of l(q) wrt q.
-8*q**3
Let w(b) = -b**2 + 5*b + 2. Let i be w(4). Suppose 3*r = -4*n + 27, -n - 5 = -i*n + 2*r. Differentiate -2*y**3 + 3*y**3 + 0 + n - 2*y**3 wrt y.
-3*y**2
Let t be -1*(1 + 1/(-1)). Let i(q) be the second derivative of 3*q - 1/6*q**3 + t - q**2. What is the first derivative of i(z) wrt z?
-1
Let a be (-7 - -4)/(-6)*6. Find the first derivative of 6 - 6*o**3 + 3 + 9*o**3 + 5*o**a wrt o.
24*o**2
Let o(h) be the third derivative of h**6/90 + h**4/6 - h**3/6 - 2*h**2. Let j(p) be the first derivative of o(p). What is the derivative of j(c) wrt c?
8*c
Let v be (-99)/12 + (-6)/8. Let u be (-6)/(-3 + v/(-6)). Differentiate -4 - 4 - u*i - 3 + 9 with respect to i.
-4
Let x = -107 - -107. Let r(k) be the third derivative of 0*k + x + 1/6*k**4 - k**2 + 1/2*k**3. What is the derivative of r(g) wrt g?
4
Let n(w) be the second derivative of w**8/2240 + w**7/280 - w**4/4 - 6*w. Let l(y) be the third derivative of n(y). What is the third derivative of l(u) wrt u?
18
Let h(x) be the first derivative of -x**5 + 3*x**2/2 + 1. What is the second derivative of h(d) wrt d?
-60*d**2
Let o be (3 - 5) + 0 + -6. Let m be (-1 + 4)*o/(-6). What is the third derivative of -2*n**2 + m*n**2 - 3*n**6 - 3*n**2 + 0*n**6 wrt n?
-360*n**3
Let y(g) be the first derivative of -g**4/2 - 21*g + 1. Differentiate y(k) with respect to k.
-6*k**2
Let v(f) = -34*f**4 + 11*f + 44. Let t(p) = 7*p**4 - 2*p - 9. Let w(x) = -11*t(x) - 2*v(x). Find the first derivative of w(u) wrt u.
-36*u**3
Let d be (-2)/3 + (-44)/(-12). Let l(y) = 4*y**2 + 2*y + 1. Let n be l(-1). Differentiate -3*v**2 - v**4 + n*v**2 - d + 0*v**4 wrt v.
-4*v**3
Suppose -6*o + 7 = -5. Let r(w) be the third derivative of -1/15*w**5 + 0*w**3 + 1/6*w**4 + 0*w - 4*w**o + 0. What is the second derivative of r(u) wrt u?
-8
Let h(q) = -30*q**3 + 5*q**2 - 22. Let t(k) = 150*k**3 - 24*k**2 + 111. Let y(g) = 24*h(g) + 5*t(g). What is the derivative of y(o) wrt o?
90*o**2
Let n be 1 + (1 + -1)*1. Let o be 1 + 1 - -2 - n. Find the third derivative of -o*p**6 + 5*p**6 - 6*p**2 + 4*p**2 - 4*p**6 wrt p.
-240*p**3
Let o(n) be the second derivative of n**5/10 - 5*n**3/6 - 18*n. Find the second derivative of o(z) wrt z.
12*z
Let r(c) = c - 2. Let p be r(3). Suppose 0 = 2*f - p - 3. Differentiate -f*v**2 - 2 - 2*v**2 + 1 wrt v.
-8*v
Let f(r) be the second derivative of 5*r**7/42 - 5*r**3/3 - 11*r. Find the second derivative of f(k) wrt k.
100*k**3
Let r(q) = q**2 - 14*q + 18. Let m be r(13). Let j be 2/5 + 16/10. What is the third derivative of -6*c**3 + 3*c**3 - 2*c**m - j*c**2 + 3*c**3 wrt c?
-120*c**2
Differentiate 3 + 2*n**3 + 2 - 18 wrt n.
6*n**2
Let y(q) be the first derivative of -5*q**9/3024 - q**6/120 + 2*q**3 + 1. Let m(f) be the third derivative of y(f). What is the third derivative of m(c) wrt c?
-300*c**2
Suppose -3 = 4*g - 3*n, 32 = 4*g + 3*n + 5. What is the second derivative of 3*f**3 + 8*f**3 - 4*f**g + 6*f + 0*f wrt f?
42*f
Let b(s) = 7*s**2 - 9. Let y(l) = -7*l**2 + 9. Let p(c) = 5*b(c) + 6*y(c). Differentiate p(t) with respect to t.
-14*t
Let y(d) be the second derivative of d**6/30 + d**5/30 + d**2/2 - 3*d. Let t(n) be the first derivative of y(n). Find the third derivative of t(l) wrt l.
24
Let s(z) = -7*z**2 + 3*z + 4. Let i(n) = 12*n**2 - 7*n - 9. Let m(x) = -4*i(x) - 10*s(x). Find the second derivative of m(r) wrt r.
44
Let m(o) = o. Let f(j) = 6*j - 5. Let g(r) = -2*f(r) + 18*m(r). Differentiate g(z) wrt z.
6
Let g(i) be the second derivative of -11*i**6/30 - 2*i**3/3 + 10*i. Find the second derivative of g(n) wrt n.
-132*n**2
Let q(w) be the second derivative of w**7/7 + 11*w**3/6 + 4*w. Find the second derivative of q(m) wrt m.
120*m**3
Suppose 0 = -k - 6*u + 2*u - 18, 1 = 3*k + u. What is the second derivative of -z**2 + 2*z**2 + 0*z**k + 3*z - 2*z**2 wrt z?
-2
Let p(s) be the third derivative of 3*s**9/56 - 7*s**