t m(k) = -2*k**3 - 4*k**2 - 10*k + 4. Let f(n) = n**3 + 5*n**2 + 10*n - 5. Let q(l) = -4*f(l) - 5*m(l). What is the second derivative of q(j) wrt j?
36*j
Let z(r) be the third derivative of 0*r**3 + 0 + 0*r**5 + 0*r**6 + 1/168*r**8 + 0*r**7 + 0*r + 1/6*r**4 - 2*r**2. What is the second derivative of z(s) wrt s?
40*s**3
Let o = -65 + 111. What is the second derivative of -2*r**2 - o + 5*r + 46 wrt r?
-4
Let g(c) = 7*c**4 + 2*c**2 + 53*c - 2. Let r(k) = 6*k**4 + 3*k**2 + 52*k - 3. Let b(m) = 3*g(m) - 2*r(m). Find the second derivative of b(h) wrt h.
108*h**2
Let m(h) = 3*h - 10. Let c be m(4). Find the third derivative of -4*z**c + 2*z**6 + 4*z**6 + z**2 + 2*z**6 wrt z.
960*z**3
Let q(i) be the second derivative of i**6/10 + 5*i**3/6 + 2*i. Find the second derivative of q(m) wrt m.
36*m**2
Find the third derivative of 75*h**5 - 71*h**5 + 16*h**2 - 2*h**2 wrt h.
240*h**2
Let i(l) be the first derivative of l**4/4 + 8*l**3/3 + 49*l - 11. Differentiate i(m) with respect to m.
3*m**2 + 16*m
Let h(w) = 2*w**2 - 2*w. Let a be h(-2). Find the third derivative of -6*q**3 - 5*q**2 + a - 12 wrt q.
-36
Let c(f) = -f**2 + 7*f + 10. Let w be c(8). Let n(o) be the first derivative of -1 + 1/4*o**4 + 0*o**w + o + 0*o**3. Differentiate n(j) wrt j.
3*j**2
Let q(l) = -l + 1. Let p(j) be the second derivative of -j**5/20 - j**3/6 - j**2/2 + 4*j. Let s(w) = -p(w) - q(w). Find the second derivative of s(i) wrt i.
6*i
Let v(s) = -s**2 - s. Let h(i) = -3 + 5*i**2 + 6*i + 0*i**2 - i**2. Suppose 2*r = 3*r + 6. Let k(p) = r*v(p) - h(p). Differentiate k(x) with respect to x.
4*x
Suppose 0 = -4*z - 0*z + 12. Let x(o) be the second derivative of 0*o**4 + 0*o**2 - 1/6*o**z - 2*o + 0 - 1/10*o**5. Find the second derivative of x(h) wrt h.
-12*h
What is the second derivative of 3*v**3 + v**3 - 2*v - 13*v**3 wrt v?
-54*v
Let w be 7*(0 + 6/7). Suppose 14 = 5*x + l, -2*x - l = -x - w. Find the third derivative of -2*i**6 - i**2 + 2*i**x + i**6 wrt i.
-120*i**3
Let c = 0 - -2. Suppose 0 = j - 0*j - c. What is the second derivative of 0 - j*u**4 + 2*u + 0 - 3*u wrt u?
-24*u**2
Let q(r) be the first derivative of r**6/180 - r**5/30 - 7*r**3/3 - 7. Let n(o) be the third derivative of q(o). Find the second derivative of n(k) wrt k.
4
Let u(f) be the third derivative of -f**8/48 - 7*f**4/24 + 8*f**2. Find the second derivative of u(k) wrt k.
-140*k**3
Suppose 0 = -4*u + 5*c + 35, 3*u - 22 = -2*u - c. What is the second derivative of -2*v**u - 2*v - 3*v**3 + 3*v**3 wrt v?
-40*v**3
What is the first derivative of -4*p**2 + 4 + 0*p**2 - 2*p**2 + 3*p**2 wrt p?
-6*p
Suppose -6 = 2*c - 5*c - v, -6 = 2*c + 4*v. Suppose -3*d - 2 = -4*d. Differentiate -5 - d*g**3 + c + 0*g + 0*g with respect to g.
-6*g**2
Let h(t) = -t**3 + 2*t**2 + 2*t + 10. Let n(w) = w**2 + w + 1. Let u(z) = h(z) - 2*n(z). What is the derivative of u(x) wrt x?
-3*x**2
Suppose 4*i + 46 = 5*n, -n = 4*n - i - 34. Find the third derivative of -n*r**5 + 8*r**2 + 2*r - 2*r - r**5 wrt r.
-420*r**2
Let j(r) = 12*r**5 - 11*r**2. Let l(g) = -15*g**2 + g**4 + 13*g**5 - g**4 + 3*g**2. Let o(a) = 6*j(a) - 5*l(a). Find the third derivative of o(x) wrt x.
420*x**2
Let s(r) = 23*r**4 - 5*r**3 + 5*r + 23. Let x(b) = -12*b**4 + 3*b**3 - 3*b - 12. Let t(z) = -3*s(z) - 5*x(z). Find the first derivative of t(q) wrt q.
-36*q**3
Let u(q) = -q**2 - q. Let t(p) = 2*p**2 - 3*p + 2*p - 4*p**2. Let x be 1 + -6*(-1)/3. Let r(f) = x*t(f) - 5*u(f). What is the second derivative of r(k) wrt k?
-2
Suppose 0 = -4*p - 4*t + 12, 4*p - 3*t + 0*t = 5. What is the third derivative of -5*w**2 + 4*w**p - 14*w**3 + 6*w**3 wrt w?
-48
Let p(u) be the second derivative of 22*u**3/3 - 15*u**2/2 - 37*u. Differentiate p(r) wrt r.
44
Find the second derivative of -6*q**2 - 14*q**2 + 2*q**2 + 13*q + 36*q**2 wrt q.
36
What is the second derivative of -3*n**4 + 23*n - 25*n - 12*n wrt n?
-36*n**2
Let u(g) be the first derivative of 25*g**3/3 + g - 17. Find the first derivative of u(d) wrt d.
50*d
Find the third derivative of -8*k**5 - 1 + 6*k**3 + 2*k**2 - 6*k**2 - 4*k**3 - 15*k**2 wrt k.
-480*k**2 + 12
Let f(y) be the first derivative of y**5/12 + 2*y**3/3 - 2*y**2 + 5. Let m(x) be the second derivative of f(x). What is the first derivative of m(o) wrt o?
10*o
Let g(v) be the third derivative of 0*v - 1/6*v**4 + 0*v**7 + 5*v**2 + 0*v**5 - 1/168*v**8 + 0*v**6 + 0 + 0*v**3. What is the second derivative of g(z) wrt z?
-40*z**3
Let j(q) = 4*q**5 - 4*q**3 - 4*q**2 - 5*q - 4. Let d(x) = -x**3 - x**2 + x - 1. Let w(o) = 4*d(o) - j(o). Find the second derivative of w(l) wrt l.
-80*l**3
Let t = -9 - -15. Let p(f) = 2*f**3 - f**2. Let s(z) = -z**3. Let x(r) = t*p(r) + 10*s(r). What is the third derivative of x(i) wrt i?
12
Let b(u) = -u**2 - 4*u + 3. Let h = -12 + 8. Let y(d) = 2*d**2 + 5*d - 4. Let o(p) = h*y(p) - 5*b(p). What is the first derivative of o(f) wrt f?
-6*f
Let l(p) = p**3 + 9*p - 5. Let m(b) = -b**3 - 4*b + 3. Let a(w) = 3*l(w) + 5*m(w). What is the second derivative of a(i) wrt i?
-12*i
Let s(p) = p**3 - 7*p**2 - 8*p + 3. Let j be s(8). What is the second derivative of 146*f**4 - 3*f**5 + j*f - 146*f**4 wrt f?
-60*f**3
Suppose 5*i + 4*t - 24 = 0, 0*i + 2*t = i - 2. Let l be (1/2)/(24/48). Find the first derivative of -l + i - 2 + h wrt h.
1
Let f(h) be the first derivative of -h**7/840 + h**6/120 + 2*h**3/3 + 4. Let v(u) be the third derivative of f(u). Find the third derivative of v(k) wrt k.
-6
Let n(h) = -2*h - 15. Let l(m) = -m**2 + 4*m + 2. Let r be l(6). Let v be n(r). Find the second derivative of -2*f**v - 8*f**3 + f + 8*f**3 wrt f.
-40*f**3
Let t be 5/20 - 7/(-4). Find the third derivative of -8*z**4 + 8*z**4 + t*z**2 - 3*z**5 wrt z.
-180*z**2
Differentiate 7*j**3 - 12*j**3 + 45 + 9*j**3 + 8*j**3 with respect to j.
36*j**2
Let x(v) be the second derivative of -v**3/6 - v**2/2 - v. Let y(d) = 5*d + 4. Let m(h) = -3*x(h) - y(h). What is the first derivative of m(a) wrt a?
-2
Let m(b) = -b**2 + 8*b + 2. Let z be m(8). What is the second derivative of -2 - 3*c**3 + z + 3*c wrt c?
-18*c
Suppose -2*t - 20 = -3*y, t = 2*y - 6*y + 34. What is the third derivative of 2*b**2 + y*b**3 + b**2 + 2*b**2 + 2*b**3 wrt b?
60
Let q(p) = -p + 1. Let d(t) = -10*t**3 - 12*t**2 - 2. Let a(m) = -d(m) - 2*q(m). What is the third derivative of a(r) wrt r?
60
Let l(y) be the first derivative of 5*y**6/2 + 5*y**3 + 10. Find the third derivative of l(d) wrt d.
900*d**2
What is the second derivative of -15*p**2 - 27*p - 23*p + 28*p wrt p?
-30
What is the derivative of -6 + 2*y**4 + 7*y**4 + 1 wrt y?
36*y**3
Let x = -8 + 5. Let b(y) = -8*y**2 - 10. Let a(l) = -4*l**2 - 5. Let k(h) = x*b(h) + 5*a(h). Differentiate k(g) with respect to g.
8*g
Suppose 0 = -y - 4*r - 5 + 7, -4*y - 5*r + 8 = 0. Find the second derivative of 2*g**4 + y*g**4 - 3*g - 2*g**2 + 2*g**2 wrt g.
48*g**2
Let k be 5*8 - (-1)/1. What is the derivative of 39*f + 10*f**2 - 80*f + 1 + k*f wrt f?
20*f
Let d be 2/(-4)*36/(-6). What is the second derivative of d*z + z**2 - 2*z - 4*z**2 wrt z?
-6
Suppose -4*h + 7 + 10 = -t, 0 = t + 2*h - 13. Differentiate -6*j**4 - 1 + 3*j**t + 7*j**4 - 3*j**3 with respect to j.
4*j**3
Let k be (1/2)/(6/84). Let n = -5 + k. Differentiate m**2 - 5 - n*m**2 + 6 wrt m.
-2*m
Let l(o) = -4*o**2 + 18*o - 192. Let g(d) = d**2 - 6*d + 64. Let m(k) = 7*g(k) + 2*l(k). Find the first derivative of m(j) wrt j.
-2*j - 6
Let n be (-3 - -2) + (3 - -3). Find the third derivative of 3*x**5 - 6*x**n + 3*x**2 + 6*x**5 wrt x.
180*x**2
Let f(x) be the third derivative of x**8/280 + x**5/20 - x**3 + 5*x**2. Let g(c) be the first derivative of f(c). Find the second derivative of g(z) wrt z.
72*z**2
Let l(u) be the first derivative of -u**8/14 - u**4/12 + u - 1. Let g(s) be the first derivative of l(s). What is the third derivative of g(b) wrt b?
-480*b**3
Let t(v) = v**3 - 9*v**2 + 8*v + 4. Let n be t(8). What is the second derivative of 5*f - 12*f - 4*f**4 + n*f wrt f?
-48*f**2
Let q(n) be the first derivative of -n**6/60 + n**4/24 - n**2/2 + 2. Let p(j) be the second derivative of q(j). What is the second derivative of p(v) wrt v?
-12*v
Let j(m) = 6*m**3 + 14*m**2 - 3*m - 3. Let c(w) = -13*w**3 - 29*w**2 + 5*w + 5. Let n(t) = -3*c(t) - 5*j(t). What is the third derivative of n(g) wrt g?
54
Let u(d) be the first d