w) = -w**2 - w + 2. Let t(o) = -2*d(o) - h(o). What is the second derivative of t(g) wrt g?
-2022*g
Let m(k) = -2*k**3 - 3*k**2 + k + 4. Let q be m(2). Let b = 24 + q. Find the third derivative of 8*l**2 - l**6 - l**b + 3*l**2 wrt l.
-120*l**3
Let q(p) = 50*p - 147. Let b be q(3). Suppose 2*i - 206 = -5*r - 32, 0 = -4*r + 5*i + 126. Differentiate 22 - r - 5*g**3 + 2*g**3 + 0*g**b wrt g.
-9*g**2
Let b(u) be the first derivative of u**4/4 + u**3/6 - 20*u + 2. Let y(t) be the first derivative of b(t). What is the second derivative of y(v) wrt v?
6
Let c(b) = b**3 + 5*b**2 - b + 3. Let f be c(-5). Suppose a = 5*a - f. Differentiate -1 - u**a + 7*u**2 - 5 wrt u.
12*u
Let o(d) be the third derivative of d**7/105 + 3*d**6/8 + 71*d**4/24 - 82*d**2. Find the second derivative of o(s) wrt s.
24*s**2 + 270*s
Let i(k) = -2*k**3 + 15*k**2 + 9*k + 1. Let a be i(8). Suppose -n - 3*n = -24. What is the second derivative of -n*p + 39*p**4 - 19*p**4 - a*p**4 wrt p?
132*p**2
Find the third derivative of 5*h - 30*h**3 + 4*h + 29*h**3 - 5*h - h**2 - 9*h**6 wrt h.
-1080*h**3 - 6
What is the first derivative of 1 - 8 + 109*r**4 + 5 + 9 wrt r?
436*r**3
Let z(c) be the third derivative of 5*c**5/12 - 11*c**3/3 + 20*c**2. Let m(w) = 12*w**2 - 11. Let h(r) = -7*m(r) + 4*z(r). Differentiate h(u) wrt u.
32*u
What is the third derivative of -2*w**2 + w**2 - 90*w**3 - 2*w**4 + 0*w**4 + 306 - 15*w**3 wrt w?
-48*w - 630
Differentiate -2*n**2 - 20*n**3 + 5*n**2 - 157*n**3 + 97 - 3*n**2 wrt n.
-531*n**2
Let m(g) be the third derivative of g**5/15 - g**4/24 - 47*g**3/3 + 2*g**2 + 102. Differentiate m(n) with respect to n.
8*n - 1
Let a be (-30)/20*(-4)/2. Suppose -5*q = a*g + g - 29, -5*q - 5*g = -30. What is the third derivative of -3*w**5 + 31*w**2 - 30*w**2 + 0*w**q wrt w?
-180*w**2
Find the second derivative of 4*i**3 - 22*i**2 + 9*i - 5*i**3 - 1 - 12 - 2*i - 2*i wrt i.
-6*i - 44
Let c(k) be the third derivative of 0*k + 0*k**6 + 5/84*k**8 - 1/60*k**5 + 0*k**4 + 0*k**7 + 0*k**3 - 17*k**2 + 0. What is the third derivative of c(i) wrt i?
1200*i**2
Suppose -334 = -15*a + 11. What is the third derivative of -n**2 + 14*n**3 - n**3 + a*n**2 wrt n?
78
Suppose -5*l = -j + 11, 3*j = -7*l + 2*l + 13. Let h(w) = -w + 9. Let a be h(j). Differentiate -c + 3*c + 1 + a*c with respect to c.
5
Suppose 4*i + 5*z + 41 - 4 = 0, 4*i - 8 = 4*z. Let l be i/(-2)*8/6. Find the first derivative of -2*v + v**3 + l*v - 4 wrt v.
3*v**2
Let w be (-35)/3 + (-2)/6. Let u = 18 + w. Find the second derivative of -u*b**3 + b**2 - 9*b + 13*b - b**2 wrt b.
-36*b
Let f(b) = b**2 + 4*b + 9. Let r be f(-6). What is the first derivative of -22 + 17*z**2 + r - 8*z**2 wrt z?
18*z
Let n(z) be the second derivative of -2/5*z**5 - 7/6*z**4 - 5*z + 0 + 0*z**2 + 0*z**3. What is the third derivative of n(v) wrt v?
-48
Let t be (-42)/(-4) - (-1)/(-2). Suppose 17*c - 12*c - t = 0. Find the third derivative of -6*n**3 + n**2 - 5*n**2 - c*n**2 wrt n.
-36
Find the second derivative of 160*p - 39*p - 126*p**2 - 39*p - 45*p - 39*p wrt p.
-252
Let o(q) be the first derivative of 0*q**2 + 13/3*q**3 - 7*q - 5. Find the first derivative of o(i) wrt i.
26*i
What is the third derivative of 2 - 18*u + 2*u**3 - 42*u**4 + 18*u - 20 + 2*u**2 wrt u?
-1008*u + 12
Let m(z) be the third derivative of 53*z**8/336 + 493*z**5/60 - 2*z**2 + 218. What is the third derivative of m(b) wrt b?
3180*b**2
Let y(u) = 29*u**3 + 11*u - 4. Let c(w) = -216*w + 218*w + 5*w**3 + w**3 - 1. Let p(o) = 33*c(o) - 6*y(o). What is the first derivative of p(q) wrt q?
72*q**2
Let n(h) be the third derivative of h**9/168 + 17*h**6/120 - h**5/30 - 13*h**3/2 - 121*h**2 - h. What is the third derivative of n(j) wrt j?
360*j**3 + 102
Let l = -83 + 82. Let g(c) = -34*c**2 + 8*c - 6. Let k(f) = -f + 1. Let i(a) = l*g(a) - 6*k(a). Find the second derivative of i(o) wrt o.
68
Let r(a) = 36*a**3 - 22*a**2 + 243*a - 8. Let h(b) = 24*b**3 - 14*b**2 + 162*b - 5. Let s(d) = -8*h(d) + 5*r(d). What is the second derivative of s(t) wrt t?
-72*t + 4
Suppose 0 = -h + 2 + 2. Suppose h = -a + 7. Find the first derivative of a - 4 + 9*o**3 + 2 wrt o.
27*o**2
Let n(t) be the second derivative of -t**5/12 + 7*t**3/6 - 2*t**2 + 15*t. Let u(v) be the first derivative of n(v). Differentiate u(o) with respect to o.
-10*o
Let s be 6 + 1/2*10. Find the second derivative of s*a - 46*a + 2*a**2 - 1249 + 1249 wrt a.
4
Differentiate 29*n - 51 + 42*n**3 - 166 - 14*n + 6*n**3 - 16*n with respect to n.
144*n**2 - 1
Let d(g) be the first derivative of 121*g**4/4 + 493*g**2/2 - 259. Find the second derivative of d(c) wrt c.
726*c
Let v(w) = -73*w**2 - 6*w + 10. Let x(i) = -74*i**2 - 4*i + 10. Let p(u) = 2*v(u) - 3*x(u). Differentiate p(h) wrt h.
152*h
Let l(m) be the third derivative of -191*m**6/120 + 9*m**5/4 + m**3/6 - 5*m**2 - 8*m. What is the third derivative of l(x) wrt x?
-1146
Let l = 62 - 63. Let v(u) = -u**2 + u. Let g(t) = -6*t**2 - 3*t - 11. Let m(s) = l*g(s) - 3*v(s). What is the first derivative of m(p) wrt p?
18*p
Let j be -7*10/(-140)*4. Suppose -q + 3*q = 0. Find the third derivative of q*k**2 - 3*k**2 - 2*k**2 - k**4 + 2*k**j wrt k.
-24*k
Suppose 12 = 3*p, 3*p - 41 = s + 1. Let v = 33 + s. Find the second derivative of -4*z + 2*z - 10*z**v + 3*z wrt z.
-60*z
Differentiate -1 - 84 - 6*f**3 + 21 - 2*f**3 with respect to f.
-24*f**2
Let a be (11 - (-8)/(-4))*-1. Let h be (-30)/(-9)*a/(-5). What is the derivative of -1 + h*j**2 - 9*j - 2*j**2 + 9*j wrt j?
8*j
Let o(l) = 11*l**3 - 2*l**2 + 2*l + 12. Let k(g) = 10*g**3 - g**2 + 2*g + 14. Let i(r) = 4*k(r) - 3*o(r). What is the second derivative of i(y) wrt y?
42*y + 4
Let w be (-4 - -1) + 20/(-3 + 7). Find the second derivative of 939*a**3 - w*a**2 - 947*a**3 + 2*a**2 - 18*a wrt a.
-48*a
Let o(a) be the first derivative of a**4/4 - 3*a**2/2 - 59*a + 93. What is the derivative of o(u) wrt u?
3*u**2 - 3
Suppose 0 = a + 4*p - 65, 0 = -2*a - a - 3*p + 222. Find the second derivative of 139 - 109 - 5*n**2 - a - 4*n**4 - n wrt n.
-48*n**2 - 10
Suppose -2*o + 5*t + 17 = 2, 2*t - 23 = -5*o. Let i be o + (-8)/(7 + -3). What is the derivative of 1 + 3 - i + f**2 - 2 wrt f?
2*f
Let z(x) = -2*x + 28. Let v be z(12). What is the second derivative of -11*u**2 + 11*u**2 - 9*u - 7*u**v wrt u?
-84*u**2
Suppose -5*h = 4*k - 0 - 15, -10 = k + 4*h. What is the second derivative of 17*g**2 - 7*g + k*g + 8*g wrt g?
34
Let i(u) be the first derivative of 5*u**3 - 2 - 8 - 11*u - 7 - 10*u. What is the derivative of i(x) wrt x?
30*x
Let q(s) = 12*s - 4. Let x be -11 + 15 - (3 + 2). Let t(c) = c. Let d(i) = x*q(i) - 4*t(i). Differentiate d(u) wrt u.
-16
What is the second derivative of 51*l - 55*l**2 + 113*l**2 - 54*l**2 + 13*l**3 wrt l?
78*l + 8
Let t(k) be the first derivative of k**5/5 - 3*k**4/4 + k**2 - 55*k - 193. What is the second derivative of t(n) wrt n?
12*n**2 - 18*n
Let o(g) be the second derivative of 8*g - 2*g**2 + 0 - 5/2*g**3. Differentiate o(l) with respect to l.
-15
Differentiate -2*b**4 + 7*b - 2 + 49 + 48 + 10 wrt b.
-8*b**3 + 7
Let p(m) be the first derivative of 123*m**2/2 + 198*m - 174. Find the first derivative of p(b) wrt b.
123
Differentiate 139 - 291 - 435 + 139*l**3 wrt l.
417*l**2
Let w(h) be the third derivative of -h**8/140 + h**6/90 - 3*h**3/2 - 7*h**2. Let q(x) be the first derivative of w(x). Find the third derivative of q(a) wrt a.
-288*a
Let b(g) = 15*g**3 - 13*g - 3. Suppose 12 = -3*s - 0*s. Let d(p) = 14*p**3 - 12*p - 4. Let u(n) = s*b(n) + 3*d(n). What is the second derivative of u(f) wrt f?
-108*f
Let j(c) = c**2 + 4*c + 3. Let s be j(-4). What is the derivative of f**3 + 1 + 1 - 6 + f**s wrt f?
6*f**2
Suppose 53 = 5*l + 8. Find the second derivative of 2*b**3 + l*b**3 - 15*b**3 - 2*b wrt b.
-24*b
Let a(z) = z**3 - 18*z**2 + 16*z + 19. Let l be a(17). Find the third derivative of -3*c**2 + c**5 - 10*c**5 + 9*c**l - 2*c**2 wrt c.
-540*c**2
Suppose -6*k + 9 = -3. Find the first derivative of -1 + k*d**4 + 6 - 18*d**4 wrt d.
-64*d**3
Differentiate 123 - 45 + 149 + 106 - 3 + 340*o wrt o.
340
Let u = 20 + -14. Find the second derivative of -16*w - 22*w**2 + 10*w - 12*w - u*w wrt w.
-44
Suppose 50 = 2*w + 5*l, 0 = w + 5*l - 24 - 11. Differentiate -104*n - 7 + 60*n - w - 4 with respect to n.
-44
Let n(g) = -4*g - 16. Let x be n(-5). 