hat is the third derivative of 0*l**2 + 0*l**4 - 4*l**4 - 6*l**2 - 3*l**4 wrt l?
-168*l
Suppose -1 - 4 = -f. Let x(g) = -2*g**2 - 4*g + 3. Let z(a) = 6*a - 6 - a + 3*a**2 + 2. Let j(t) = f*x(t) + 4*z(t). What is the first derivative of j(o) wrt o?
4*o
Let l(c) be the first derivative of 1/24*c**4 - c**2 - 1 + 0*c + 1/6*c**3. Let y(q) be the second derivative of l(q). Differentiate y(n) with respect to n.
1
Let f(h) be the first derivative of 2*h**7/105 + 2*h**3/3 + h**2/2 - 3. Let l(k) be the second derivative of f(k). Differentiate l(b) with respect to b.
16*b**3
What is the derivative of 55*k - 26*k + 8 - 28*k wrt k?
1
What is the third derivative of 3*p**5 + 6*p**4 + 7*p**5 + 4*p**2 - 6*p**4 wrt p?
600*p**2
Let l(y) = -8*y - 1. Let m(r) = -r + 1. Let n(h) = -l(h) + 3*m(h). What is the derivative of n(a) wrt a?
5
What is the second derivative of -11*k + 12*k**5 + 3*k - 6*k**5 - 3*k**5 wrt k?
60*k**3
Find the second derivative of -10*z**4 + 18*z**4 + 18*z - 65*z wrt z.
96*z**2
Let s = -16 + 18. What is the third derivative of -n**2 - 8*n**6 + n**s - 8*n**2 wrt n?
-960*n**3
Let x be (-2 + 16/10)*-10. Find the second derivative of 3*p + p - 3*p**x - 2*p wrt p.
-36*p**2
Let w(k) be the third derivative of k**4/24 + 3*k**3/2 + k**2. Let v be w(-7). Find the third derivative of 2*l**2 - 2*l**3 + 0*l**2 + l**v wrt l.
-12
Suppose -8 = -5*f - v, 2*v = 4*f - 15 + 3. Let y = -3 - -6. Find the second derivative of -f*d + d - d**y - d wrt d.
-6*d
Differentiate -s**3 + 8*s**3 - 16*s**3 + 11 with respect to s.
-27*s**2
Let g(z) = z**2 - 5*z + 6. Let j be g(4). Let p be 5 + j + (-9)/3. What is the third derivative of 2*t**2 - p*t**2 - t**5 + 0*t**5 wrt t?
-60*t**2
Let m(k) = k - 5. Let v = -10 - -6. Let f be 3/24*-2*v. Let g(s) = -1. Let p(l) = f*m(l) - 4*g(l). What is the derivative of p(w) wrt w?
1
Suppose -2*y = 2*y - 5*j - 17, -4*j = 4. Find the second derivative of -5*n**3 - 20*n + 2*n**y + 17*n wrt n.
-18*n
Suppose 6 = 4*m - 2. What is the second derivative of -2*h**2 - h + 5*h**5 - h**2 + 3*h**m wrt h?
100*h**3
Let p(a) = 5*a**2 - 7*a - 52. Let u(s) = 2*s**2 - 3*s - 26. Let h(g) = 3*p(g) - 7*u(g). Differentiate h(m) wrt m.
2*m
Let a(v) be the first derivative of 3*v**8/560 + v**4/12 - 2*v**3 - 9. Let m(k) be the third derivative of a(k). Differentiate m(x) wrt x.
36*x**3
Let l(o) be the second derivative of -13*o**7/14 - 4*o**3/3 + 2*o**2 + 63*o. Find the second derivative of l(i) wrt i.
-780*i**3
Suppose -11*i = -16*i + 15. Suppose 0 = 2*z - 12 + 2. What is the second derivative of -3*h**5 + 3*h - h**z + i*h**5 wrt h?
-20*h**3
Let p(g) = -g**2 + 6*g + 2. Let z be p(6). What is the derivative of -11*b**z + 1 + 5*b**2 + 2 wrt b?
-12*b
Suppose -4*z = 3*g - 15, 3*z - 10 = g - 3*g. Let h be (z - 1) + (0 - -3). Differentiate -3 + h*k**3 + 2 + 0 with respect to k.
6*k**2
Suppose -3*k + 11 = -6*k + 5*x, 2*x - 10 = 4*k. Let w be 3 + (0 - (0 - k)). What is the first derivative of 2*z**2 - w - 1 - 4*z**2 wrt z?
-4*z
Let d(c) be the third derivative of c**6/120 + c**5/30 + 5*c**2. What is the third derivative of d(m) wrt m?
6
Let p(h) = -h**3 + h - 1. Let y(z) = -2*z**3 + 3. Let r(k) = -3*p(k) - y(k). Find the second derivative of r(t) wrt t.
30*t
Let n(c) be the third derivative of 1/40*c**6 + 0*c**3 - 1/15*c**5 + 0 + 0*c**4 + 2*c**2 + 0*c. What is the third derivative of n(q) wrt q?
18
Let j(o) be the third derivative of 0 + 0*o + 0*o**4 + 0*o**6 + 1/35*o**7 + 0*o**5 + 7*o**2 - 1/3*o**3. Differentiate j(r) with respect to r.
24*r**3
Let t(p) = -p**2 + 7*p + 9. Let j be t(8). What is the second derivative of l + 2*l**4 - j + 3 - 2 wrt l?
24*l**2
Let y(g) = -2*g**5 + 2*g**3 - g. Let u(q) = -2*q**3 + 2*q + 4*q**5 - 3*q + 2*q - 3*q**3. Let p(a) = 2*u(a) + 5*y(a). Find the second derivative of p(x) wrt x.
-40*x**3
Let j(s) be the first derivative of -2 + 0*s**2 + 0*s**6 + 0*s**5 + 0*s**4 - 2/7*s**7 + 0*s + 4/3*s**3. What is the third derivative of j(n) wrt n?
-240*n**3
Let i(x) = -x**3 - x**2 - 1. Let h be i(-2). Let m(d) be the second derivative of -1/3*d**h + 0 + 3*d + d**2. What is the first derivative of m(j) wrt j?
-2
Let t(p) = -p + 5. Let m be t(0). Suppose m*h - 1 = 19. Find the first derivative of -7 + 10 - h*u**3 - 6 wrt u.
-12*u**2
Let v(i) = -i + 1. Let z be v(-4). Suppose -2*r - z = -7*r. What is the derivative of 3*l - r + 5*l - 5*l - 1 wrt l?
3
Let u be (-3 + 5)/((-1)/(-2)). Find the first derivative of -f**2 - 4 + u*f**2 + 6 wrt f.
6*f
Suppose 21 = 5*f + 1. Suppose 0 = -f*a - n + 11, a - 8 = -2*n - 0. What is the derivative of 2*i**3 + a*i**2 - 2*i**2 - 4 wrt i?
6*i**2
Let r = 4 - 1. What is the second derivative of -9*d**3 + 4*d**r + 5*d**3 - 5*d + 3*d**4 wrt d?
36*d**2
Let w(q) = -9*q**2 - 5*q + 7. Let d(a) = a - 1. Let i(o) = 5*d(o) + w(o). What is the first derivative of i(f) wrt f?
-18*f
Let v(o) = -o**2 - 2*o. Let t(i) = -2*i**2 + 4*i + 2. Let x(r) = 3*t(r) + 6*v(r). Differentiate x(w) wrt w.
-24*w
Let k(j) = -41*j**4 - 3*j**3 + 3*j + 11. Let i(h) = 40*h**4 + 2*h**3 - 2*h - 11. Let u(x) = 3*i(x) + 2*k(x). What is the first derivative of u(v) wrt v?
152*v**3
Suppose -16*t + 13*t = -6. Differentiate t*s + s - 5*s + 5 with respect to s.
-2
What is the second derivative of -t**5 - 15 + 10*t + 15 wrt t?
-20*t**3
Let i(z) be the second derivative of 3*z**4 + 3*z**3/2 + 31*z. What is the second derivative of i(g) wrt g?
72
Suppose 0 = -0*s + 3*s + 15. Let x(t) = 15*t**2 + 5*t + 1. Let c(o) = -7*o**2 - 2*o - 1. Let m(k) = s*c(k) - 2*x(k). Differentiate m(n) wrt n.
10*n
Suppose 2*w + 2*i = -4, 0 = -4*w - i + 3 + 1. What is the third derivative of -9*k**2 + 3*k**5 - 2*k**5 + 8*k**w wrt k?
60*k**2
Let d(g) = -g - 9. Let o be d(-12). Let s(l) be the second derivative of -1/4*l**4 + 0 + 0*l**2 - 3*l + 1/2*l**o. What is the second derivative of s(f) wrt f?
-6
Let w = -1 + 3. Find the second derivative of -3*y + 2*y**2 - 3*y**2 + 4*y**w + y**2 wrt y.
8
Let j(v) = -2*v**4 - 3*v**3 + 3*v - 16. Let k(m) = -m**3 + m - 1. Let t(c) = j(c) - 3*k(c). Find the first derivative of t(y) wrt y.
-8*y**3
Let j(v) = 4*v**2 + 10. Let y(o) = o**2 + 1. Let t(k) = j(k) + 6*y(k). Differentiate t(a) with respect to a.
20*a
Suppose 0 = 2*w - 0*w. Let z(j) be the second derivative of w + j + 0*j**4 + 0*j**2 + 1/3*j**3 - 1/20*j**5. What is the second derivative of z(g) wrt g?
-6*g
Let u(n) be the third derivative of n**6/10 + 7*n**3/6 + 14*n**2. What is the first derivative of u(d) wrt d?
36*d**2
Let f(o) be the third derivative of 3*o**5/10 + 6*o**3 + 14*o**2. What is the derivative of f(c) wrt c?
36*c
Differentiate 6*y**2 - 4*y**2 - 7*y**2 + 18 - 10*y**2 with respect to y.
-30*y
Let l(i) = i**4 - 5*i**3 + 5*i**2. Let j(y) = -y**4 + 7*y**3 - 8*y**2. Let a(z) = -5*j(z) - 7*l(z). What is the third derivative of a(u) wrt u?
-48*u
Let f(i) be the third derivative of -i**8/336 - 3*i**4/8 - 14*i**2. Find the second derivative of f(v) wrt v.
-20*v**3
Let t be 2*(-2 + 1*4). Let x(n) = n**3 + 6*n**2 + 5. Let d be x(-6). What is the second derivative of -2*a**5 + t*a - d*a + 3*a wrt a?
-40*a**3
Let t(p) be the third derivative of -p**2 - 1/2*p**3 + 0*p**4 + 0 + 1/15*p**5 + 0*p. Differentiate t(m) wrt m.
8*m
Let q be -4 + 2 + -2 + 5. Let m(s) = s - 4. Let h be m(5). What is the first derivative of q - b + b + h + 3*b**2 wrt b?
6*b
What is the third derivative of -3*j**2 + 2*j**4 + 4*j**2 + 0*j**2 + 3*j**4 wrt j?
120*j
Let f(t) = -t**3 - 2*t**2 + 2*t. Let l be f(-3). Find the first derivative of 0*h**2 + 5*h**2 - 4*h**l - 5*h**2 + 1 wrt h.
-12*h**2
Let a = 1 - -2. Suppose w - a*s = -2*w + 6, 2*w + 2*s - 8 = 0. What is the first derivative of y**3 + 4*y**3 - 3*y**w + 1 wrt y?
6*y**2
Let w(f) be the first derivative of -f**6 - 5*f**3/3 + 4. Find the third derivative of w(z) wrt z.
-360*z**2
Find the third derivative of -7*v**2 + 5*v**3 - 5*v**3 - 3*v**4 wrt v.
-72*v
What is the third derivative of 580*r - 580*r - r**2 - 27*r**5 wrt r?
-1620*r**2
Let f(i) be the first derivative of -i**4 + i**3/3 + 4. Find the third derivative of f(t) wrt t.
-24
Let u(x) = -x**2. Let z(r) = -4*r - 2*r + r - 4*r**2 + r. Let v(i) = -3*u(i) + z(i). What is the second derivative of v(b) wrt b?
-2
Let h(o) = -8*o**4 - 5 + 6*o + 3 + 19*o**4. Let q(g) = 10*g**4 + 5*g - 2. Let y(i) = -5*h(i) + 6*q(i). Differentiat