 5*h + 5. Let p(k) = 1. Let l(y) = -5*p(y) + w(y). What is the second derivative of l(m) wrt m?
16
Let i = -93/2 - -48. Let l(n) be the second derivative of i*n**2 + 0*n**3 + 0*n**5 + n + 0*n**4 + 0 - 1/30*n**6. Differentiate l(b) with respect to b.
-4*b**3
Find the second derivative of 9*v**2 + 8*v**2 - 15*v - v**2 + v wrt v.
32
Find the first derivative of -10*h + 4 - 4*h + 7*h + 10 wrt h.
-7
Let i(d) = 1. Let o(h) = -8*h. Let v be 1/(-2) - (-22)/4. Let r(w) = v*i(w) + o(w). What is the derivative of r(t) wrt t?
-8
Suppose 8 - 20 = -2*g. What is the third derivative of -4*x**2 + x**6 - 4*x**2 - 3*x**g + 5*x**2 wrt x?
-240*x**3
Let c(g) = -3*g + 8. Let r(t) = -2*t + 7. Let m(k) = 3*c(k) - 4*r(k). Differentiate m(j) with respect to j.
-1
Let c(g) = 13*g**4 - 2*g**3 - 7*g + 2. Let z(s) = -27*s**4 + 5*s**3 + 14*s - 5. Let y(d) = -5*c(d) - 2*z(d). What is the second derivative of y(w) wrt w?
-132*w**2
Differentiate 10 + 6*p**3 - 8 - p**3 wrt p.
15*p**2
Suppose 9*v - 4 = 7*v. Differentiate -4*f**v + 3*f**3 + 3*f**2 + f**2 + 4 wrt f.
9*f**2
Let n(r) be the third derivative of -3*r**6/8 + 7*r**5/15 + 21*r**2. Find the third derivative of n(j) wrt j.
-270
Let s(h) = 15*h + 7. Let b(p) = 8*p + 4. Let t(i) = 5*b(i) - 3*s(i). Differentiate t(l) with respect to l.
-5
Find the first derivative of -4*n**3 - 234 + 231 - 3*n + 3*n wrt n.
-12*n**2
Let s(t) be the third derivative of -t**6/40 + t**4/12 - 3*t**2. What is the second derivative of s(d) wrt d?
-18*d
Suppose -4*c = c - 10. Find the third derivative of -1 + 6*z**2 + 1 - 2*z**2 - c*z**5 wrt z.
-120*z**2
Let x be (-2)/(-3) - (-7)/3. What is the third derivative of -4*q - q**2 - x*q**5 + 4*q wrt q?
-180*q**2
Suppose -s = -m - 2, -5*m = -s - 0*s - 2. Suppose f + 13 = 3*y, 2*f - s*y = -6 - 5. Find the second derivative of -3*q**4 - 19*q**2 + 19*q**f + 2*q wrt q.
-36*q**2
Let j(c) = 3*c**2 + c - 4 + c - 2*c**2 + 2. Let h(o) = -5*o**2 - 11*o + 10. Let v(l) = 2*h(l) + 11*j(l). Find the first derivative of v(a) wrt a.
2*a
Let k(w) be the third derivative of w**8/560 + w**4/8 + w**3/6 + 3*w**2. Let f(c) be the first derivative of k(c). What is the first derivative of f(i) wrt i?
12*i**3
Suppose 0 = h - 3 - 1. Find the third derivative of -3*g**4 + 6*g**4 - 4*g**4 - 2*g**4 + h*g**2 wrt g.
-72*g
Suppose 0 = -4*j - 23 + 63. What is the second derivative of -2*g - g**3 + j*g + 0*g**3 + 4*g**3 wrt g?
18*g
Find the second derivative of 3 + 14*h - 1 - 15*h**2 - 2 wrt h.
-30
Let z(k) = 11*k**2 - 8*k - 3. Let p(r) = -11*r**2 + 9*r + 2. Let w(o) = -3*p(o) - 2*z(o). What is the second derivative of w(y) wrt y?
22
Let t(z) = -4*z**3 - 5*z**3 + 6 + 1 - 9*z. Let k = -26 + 19. Let w(o) = 4*o**3 + 4*o - 3. Let i(f) = k*w(f) - 3*t(f). Find the second derivative of i(v) wrt v.
-6*v
Let a(l) = -l**3 + 15*l**2 - 15*l + 16. Let p be a(14). What is the derivative of 8*x**2 + 57*x - p - 57*x wrt x?
16*x
Let z be (-2)/9 - (-92)/9. Let g be (z/(-15))/(2/(-18)). What is the first derivative of -3 + g*o + 3*o**2 - 6*o wrt o?
6*o
Let k(z) be the third derivative of 3*z**8/28 + 4*z**5/15 - 20*z**2. Find the third derivative of k(y) wrt y.
2160*y**2
Let g(x) be the first derivative of 6*x**4 + 21*x**2 + 41. Find the second derivative of g(m) wrt m.
144*m
Let v(l) = l**3 + 5*l**2 + 4*l - 1. Let b be v(-3). What is the second derivative of c**2 + 5*c + 0*c**2 + b*c**2 + 3*c**2 wrt c?
18
Let m(w) be the third derivative of 1/12*w**5 + 0*w**3 + 0 + 0*w - 1/4*w**4 + 2*w**2. Find the second derivative of m(l) wrt l.
10
Let x(a) be the third derivative of 19*a**6/40 - 7*a**4/6 + 8*a**2. Find the second derivative of x(g) wrt g.
342*g
Let u(f) be the third derivative of 0 + 0*f - 1/6*f**3 + 1/12*f**4 - f**2. What is the derivative of u(w) wrt w?
2
Let w(u) = u**3 - 16*u**2 - u + 21. Let b be w(16). What is the first derivative of -l**2 - 6 - 7*l**2 + b*l**2 wrt l?
-6*l
Let s be ((-24)/9)/(4/(-6)). Suppose 0 = -2*k - 2*v - 4 + 16, -s*k = v - 12. What is the third derivative of -2*i**k - 2*i**2 + 3*i**2 + 2*i**6 wrt i?
240*i**3
Let b(m) = -4*m - 1. Let x be b(-1). Let o = 28 - 26. What is the first derivative of -3*p**2 + x*p + 3 - o*p - p wrt p?
-6*p
Suppose -5*j = -l + 1, -3 = -2*j - 2*l - 1. Suppose -2 = -0*b - b. What is the second derivative of -b*z**4 + j*z**4 + 3*z - 6*z wrt z?
-24*z**2
Let b(w) be the second derivative of 19*w**8/56 + w**4 - w. What is the third derivative of b(s) wrt s?
2280*s**3
Let w(v) be the second derivative of 0 + 1/2*v**2 + v - 1/6*v**3. What is the derivative of w(i) wrt i?
-1
Let j be 1*5 - (0 + 2). Let h = -18 + 20. Differentiate -3*m**2 + m**h + j*m**2 - 2 with respect to m.
2*m
Suppose 0*o - 2*o + 4*u - 8 = 0, 0 = -2*o + 3*u - 5. What is the second derivative of -m + m**o - 2*m**2 - m**2 wrt m?
-4
Let f(t) = -11*t**3 + 7*t + 6. Let j(u) = -22*u**3 + 13*u + 11. Let w(d) = 11*f(d) - 6*j(d). What is the second derivative of w(h) wrt h?
66*h
Suppose -4*d + 2 = -10. What is the derivative of 2*f**d - 1 + f**3 - f**3 wrt f?
6*f**2
Let o be 1/((-3)/(-3*2)). What is the third derivative of 3*c**4 - 5*c**4 + 3*c**o - c**4 + 0*c**2 wrt c?
-72*c
Let u(a) = a**3 + 9*a**2 + 7*a - 6. Let h be u(-8). Suppose -h*j - 3 = -3*j. Differentiate -6*b + 6*b + j*b**3 - 3 with respect to b.
9*b**2
Let l be (-2)/(1 + (-5)/3). Let a(z) be the first derivative of 0*z**l + 1 + z**2 + 0*z + 1/4*z**4. What is the second derivative of a(i) wrt i?
6*i
Let g(o) be the second derivative of -o**9/15120 - o**5/40 + 5*o**4/12 - 5*o. Let f(m) be the third derivative of g(m). Differentiate f(z) with respect to z.
-4*z**3
Let a(f) be the third derivative of f**5/15 + 13*f**3/6 - 55*f**2. Differentiate a(m) wrt m.
8*m
Let r(x) = 3*x**2 + 2*x - 4. Let j(b) = 9*b**2 + 7*b - 13. Let c(i) = 4*j(i) - 14*r(i). Find the first derivative of c(g) wrt g.
-12*g
Let h(z) = -z + 18. Let p be h(13). What is the derivative of 2 - 3*k**3 - p - 2 wrt k?
-9*k**2
What is the first derivative of 4 + 1046*b + 3*b**3 - b**3 + 1 - 1064*b wrt b?
6*b**2 - 18
Let x(v) be the third derivative of -v**9/126 - 11*v**5/30 + 24*v**2. What is the third derivative of x(m) wrt m?
-480*m**3
What is the derivative of -7*n**3 - 122 - 2*n**3 + 202 + n**2 - 102 wrt n?
-27*n**2 + 2*n
Let z(i) = 5 + 4*i - 3*i + 6 - 3. Let k be z(-6). What is the second derivative of -b - b**2 + 2*b - k*b**2 wrt b?
-6
Let a be (-16)/6*(-6)/4. Let s(k) be the first derivative of 0*k - k**2 + 0*k**3 + 1 - 1/4*k**a. Find the second derivative of s(g) wrt g.
-6*g
Let g(n) = n - 1. Let q(w) = -4*w**2 - 5*w - 1. Let a(t) = -g(t) + q(t). Find the second derivative of a(d) wrt d.
-8
Let a(n) = n**3 + n**2 - n - 1. Let v(b) = 5*b**6 - 2*b**3 - 26*b**2 + 2*b + 2. Let h(u) = 4*a(u) + 2*v(u). What is the third derivative of h(r) wrt r?
1200*r**3
Let g(m) be the third derivative of 5*m**9/252 + m**5/60 - 8*m**2. Find the third derivative of g(c) wrt c.
1200*c**3
Let a(v) be the second derivative of 11*v**5/10 - 11*v**3/2 - 3*v + 1. What is the second derivative of a(f) wrt f?
132*f
Let v(i) = 61*i**2 + 9*i. Let c(g) = -31*g**2 - 4*g. Let p(n) = 13*c(n) + 6*v(n). What is the second derivative of p(t) wrt t?
-74
Let c(d) = -45*d**2 + 18*d. Let n(h) = 44*h**2 - 19*h. Let m(f) = -6*c(f) - 7*n(f). Find the second derivative of m(q) wrt q.
-76
What is the second derivative of -10*g + 2*g**2 - 7 - 11*g**2 + 7 wrt g?
-18
Let o(q) be the second derivative of q**6/90 - q**5/60 - q**3/3 + 6*q. Let w(s) be the second derivative of o(s). What is the second derivative of w(r) wrt r?
8
Suppose 5*b = -5*a + 5, 5*a = b - 5*b + 4. Let f(u) be the first derivative of -u + a*u**2 + 2 - 2/3*u**3. Differentiate f(l) wrt l.
-4*l
Let h(n) be the third derivative of 2*n**7/35 + 9*n**4/8 + 41*n**2. Find the second derivative of h(x) wrt x.
144*x**2
What is the second derivative of -9*h**4 - 21*h**4 + 2*h**4 - 32*h + 5*h wrt h?
-336*h**2
Let k = 14 - 8. Differentiate k + 2*g + 2*g - 5 wrt g.
4
Let u(g) be the first derivative of 3/2*g**2 + 3 - 4*g. What is the first derivative of u(t) wrt t?
3
Suppose -3*g + 8 = -4. Find the third derivative of -2*v + 7*v**g + 2*v - 5*v**2 wrt v.
168*v
What is the third derivative of -6*r**2 - 10*r**3 - 4*r**2 - 13*r**2 wrt r?
-60
Let a(i) be the first derivative of -8*i**2 - 16*i - 15. Find the first derivative