 g - 5*g - 3*q + 16, -4*q = -4*g + 16. Let l(u) = -u**3 + 3*u**2 + 5*u - 4. Let a be l(g). Differentiate a*w + 10*w - 5*w + 3 with respect to w.
5
Suppose 57*z = 73 + 269. Let y(t) be the first derivative of 0*t**3 + 0*t**4 - 9 + 3/2*t**2 + 0*t + 1/3*t**z + 0*t**5. Find the second derivative of y(l) wrt l.
40*l**3
Let x = -41 - -47. Let r(h) = -5*h**4 - 2*h**2 + 3. Let g(f) = -30*f**4 - 11*f**2 + 17. Let i(j) = x*g(j) - 34*r(j). What is the third derivative of i(s) wrt s?
-240*s
Let v(z) = -13*z**2 - 2*z + 112. Let s(h) = 24*h**2 + 4*h - 224. Let u(a) = -2*s(a) - 5*v(a). Find the first derivative of u(g) wrt g.
34*g + 2
Find the second derivative of -778*a**2 - 7*a - 99*a + 496*a wrt a.
-1556
Suppose -14 = 3*d - 5*d + 2*s, -s = -3*d + 15. Differentiate 3 + 5*x**4 + 7 + 5*x**d + 0*x**4 with respect to x.
40*x**3
Let c(k) = -52*k**4 - 5*k - 62. Let p(d) = d - 1. Let h(j) = -c(j) - 3*p(j). Differentiate h(x) wrt x.
208*x**3 + 2
Let x be 12/6 - (-7)/1. Let q be 42/x - (-12)/(-18). What is the second derivative of -3*g**2 + 4*g**2 - g**2 - q*g**4 - 13*g wrt g?
-48*g**2
What is the first derivative of 18*y**2 - 258 + 24*y**2 - 75 wrt y?
84*y
Let j(s) = s**2 - 12*s + 9. Let l be (-5 - -29)*(-3)/(-6). Let h be j(l). What is the third derivative of -h*v**2 + v**2 - 16*v**5 + 20*v**5 wrt v?
240*v**2
Let r(z) = 4*z - 2. Let t be r(3). Find the first derivative of 1 - 15 + 2 + 2*l**4 + t*l**4 wrt l.
48*l**3
Suppose 3 = 3*h - 3*o, -2*h - 5*o - 5 = -0. Suppose -11*w + 9*w = h. What is the third derivative of -3*y**3 - y**3 + 9*y**2 + w*y**3 - y**2 wrt y?
-24
Let i be ((-16)/(-12) - 1)*3. Let k(v) = v - 1. Let t(q) = 7*q - 2. Let a(c) = i*t(c) + 2*k(c). Find the first derivative of a(f) wrt f.
9
Let m be 3/(((-27)/6)/(-3)). What is the third derivative of -81*i**4 + 39*i**4 + 30*i**4 + 4*i**2 + 0*i**m wrt i?
-288*i
Suppose 2 = -2*b, 0 = w - 5*b - 7 - 2. Differentiate -w + 0*r + 17 + r with respect to r.
1
Differentiate 15*o**4 + 181*o**4 + 75 + 58 with respect to o.
784*o**3
What is the third derivative of 5*f**2 + 19*f + 7*f**2 + 8*f**6 - 3*f**4 - 25*f**2 + 11*f**2 wrt f?
960*f**3 - 72*f
Let f be (-16)/(-2 - -4) - -4. Let t be 3 - f/2 - 0. Find the third derivative of 7*w**3 + 2*w**3 - 3*w**2 - t*w**3 - 4*w**2 wrt w.
24
Let s(u) be the second derivative of u**5/20 - 16*u**4/3 + u**3/3 - 13*u**2/2 - 3*u. What is the second derivative of s(l) wrt l?
6*l - 128
Let a(u) be the third derivative of -161*u**4/24 + 277*u**3/6 - 172*u**2 + 2. Differentiate a(v) wrt v.
-161
Let q(i) be the second derivative of 7*i**5/10 - i**4/6 + 7*i**3/6 - 6*i**2 - 161*i. What is the second derivative of q(o) wrt o?
84*o - 4
Let q be 6 - 4 - (-19 + -1). Differentiate 5*l**3 + 3 + q*l**3 + 15 - 2*l**3 wrt l.
75*l**2
Let h be (2 + 56/(-12))*(-6)/4. Find the first derivative of 13*z**h + 16*z**4 - 19*z**4 + 10 wrt z.
40*z**3
Let h(m) be the first derivative of m**4/4 - 78*m**2 - 167*m - 192. What is the derivative of h(q) wrt q?
3*q**2 - 156
Let t(n) = 23*n**3 + 4*n**2 - 8*n - 97. Let l(x) = 68*x**3 + 11*x**2 - 22*x - 291. Let p(d) = 4*l(d) - 11*t(d). What is the first derivative of p(i) wrt i?
57*i**2
Find the second derivative of 2 + 25*o**2 + 8*o + 6*o**2 + 3*o**2 + 39*o**2 wrt o.
146
Suppose i + 20 = 4*c, -2*i - 1 = 7. What is the third derivative of 5 - 7 - 3*a**4 + c*a**2 + 2 wrt a?
-72*a
Let q(y) = -31*y**2 - 20*y - 304. Let m(u) = 10*u**2 + 7*u + 100. Let v(k) = 8*m(k) + 3*q(k). What is the derivative of v(w) wrt w?
-26*w - 4
Suppose -3*s - 4*n - 5 = 0, s = 5*n + 18 + 12. What is the second derivative of -k**2 - 11*k + 3*k + k**2 - 2*k**s wrt k?
-40*k**3
Differentiate 40 + s + 18*s**2 + 56 - 27 - 46*s**2 with respect to s.
-56*s + 1
What is the third derivative of -5*r**4 + 7*r**4 + 2*r - 8*r**3 - 71*r**3 - 18*r**2 - 5*r wrt r?
48*r - 474
Suppose 4*g + 16 = 8*g. Suppose -5*z + 12 = g*s - 13, z = 5. Differentiate s + 3*v + 0 + 7 with respect to v.
3
Let d(v) = -46*v**4 + 2*v**3 + 63*v**2. Let f(t) = 138*t**4 - 7*t**3 - 190*t**2. Let m(u) = -7*d(u) - 2*f(u). What is the third derivative of m(x) wrt x?
1104*x
Find the second derivative of 119*r - 14 + 14 - 158*r**5 + 49*r**5 wrt r.
-2180*r**3
Let v = -6 + 11. Suppose 4*c - 12 = 3*c - 3*t, 24 = v*c + 3*t. What is the first derivative of c - 4 + 2*n**3 + 3*n**3 - 5 wrt n?
15*n**2
Let b(n) be the second derivative of n**7/42 - n**5/20 - 39*n**4/4 - 11*n + 1. Find the third derivative of b(r) wrt r.
60*r**2 - 6
Let c(n) be the second derivative of n**8/56 - 33*n**6/10 - n**4/3 - n**2 - 30*n - 2. Find the third derivative of c(l) wrt l.
120*l**3 - 2376*l
Let v(g) be the third derivative of 11*g**6/30 + 497*g**4/24 + 348*g**2. What is the second derivative of v(c) wrt c?
264*c
Let k be 20 - (0/5)/3. What is the derivative of z - 8 - 32*z**2 - z - k wrt z?
-64*z
Let l be (1 + -1 + 1)/((-1)/(-5)). Differentiate 2 - 5 - l*f**2 - 9 wrt f.
-10*f
What is the first derivative of 187*w**4 - 492 - 486*w**4 - 186*w**4 wrt w?
-1940*w**3
Let r(w) be the second derivative of 0*w**2 + 0*w**7 - 8*w + 0 + 0*w**6 + 0*w**3 - 3/14*w**8 + 0*w**5 - 23/12*w**4. What is the third derivative of r(t) wrt t?
-1440*t**3
Let c(j) = -601*j**3 + 30*j**2 - 12*j + 257. Let o(g) = -5*g**2 + 2*g + 1. Let t(p) = c(p) + 6*o(p). Find the first derivative of t(u) wrt u.
-1803*u**2
Let a(l) be the second derivative of 745*l**3/6 + 177*l**2 + 379*l. Find the first derivative of a(r) wrt r.
745
Let h(n) be the second derivative of -29*n**3/2 + 467*n**2/2 + 2*n + 18. What is the derivative of h(q) wrt q?
-87
Let s = -24 - -24. Suppose s = -6*n + 5*n + 9. Differentiate -5 - 5 - 13*o + n*o wrt o.
-4
Suppose -21*h + 7*h = -28. What is the third derivative of 7*y**h + 3993*y - 3993*y - 41*y**6 wrt y?
-4920*y**3
Suppose 8 = 3*i - 2*n - 2, -4*n - 12 = -2*i. Find the third derivative of 5*w**3 - 20*w**i - 10*w**2 + 14*w**3 + 2*w**2 wrt w.
114
Let p be -4 + (2 - (-3 + -33)). Find the second derivative of -9*c**2 - p*c + 9*c**2 - 32*c**4 wrt c.
-384*c**2
Let h(x) be the first derivative of -5*x**7/42 - 3*x**3 - 15*x**2 - 12. Let r(p) be the second derivative of h(p). Differentiate r(l) with respect to l.
-100*l**3
Let d be 2/(-3 - -1)*-2. What is the second derivative of 3*q - d*q**2 + q**2 + 5*q**2 wrt q?
8
Let w(y) be the second derivative of 117*y**5/20 + 20*y**4 - 180*y. Find the third derivative of w(d) wrt d.
702
Let z(o) = -1016*o**2 - 17*o + 196. Let j(v) = 339*v**2 + 6*v - 67. Let n(g) = 17*j(g) + 6*z(g). What is the first derivative of n(l) wrt l?
-666*l
Let b = -37 - -39. Let h(f) be the second derivative of 0*f**5 - 1/6*f**3 + 0*f**4 + 9*f + 1/15*f**6 + 0*f**b + 0. What is the second derivative of h(k) wrt k?
24*k**2
Let t(s) = -s**3 + 6*s**2 - 6*s - 4. Let i be t(5). Let b = -5 - i. What is the second derivative of 3*x**4 - x**b - 4*x + 0*x**4 wrt x?
24*x**2
Let s(f) be the first derivative of 9*f**5/10 + 17*f**3/6 + 3*f + 24. Let c(y) be the first derivative of s(y). What is the second derivative of c(u) wrt u?
108*u
Differentiate -2*l**2 - 82 - 6*l**4 - 4*l**4 + 32 with respect to l.
-40*l**3 - 4*l
Let k(a) = 2*a + 8. Let w be k(-2). Suppose 5*b - w*b - 4 = 0. What is the first derivative of 5*p**b + 4*p**4 - 2 - 4*p**4 - 5 wrt p?
20*p**3
Let z(d) be the second derivative of 167*d**3/3 - 89*d**2/2 - 5*d + 13. Differentiate z(k) wrt k.
334
Let s(x) be the first derivative of 8*x**4/3 + 3*x**3 - 18*x - 19. Let k(d) be the first derivative of s(d). What is the second derivative of k(i) wrt i?
64
Suppose -3*w - 51 = -p + 2*w, -9 = 3*w. What is the second derivative of 18*s**5 - p*s**5 + 23*s**5 - 11*s wrt s?
100*s**3
Let c be (-1)/(-1) + (-2)/(-2). Let a(o) be the first derivative of -5 + 2 - c*o**4 + 2*o - 2*o**3 - 2*o. What is the third derivative of a(t) wrt t?
-48
Let k(l) be the second derivative of -71*l**6/30 + 2*l**3/3 + 19*l**2/2 - 119*l. Find the second derivative of k(r) wrt r.
-852*r**2
Let y(b) = 15*b - 13. Let i be y(1). Let d(h) be the third derivative of 9*h**i - 1/4*h**4 + 0 + 1/6*h**3 + 0*h. Find the first derivative of d(p) wrt p.
-6
Let t(d) be the third derivative of -497*d**5/60 - d**4/12 - 332*d**3/3 - 231*d**2 + 1. What is the second derivative of t(n) wrt n?
-994
Let l be 1/5 + 34/5. What is the second derivative of 0*t - l*t - 5*t + 27*t**2 wrt