w.
6
Let u(q) = 4*q**3 + q**2 + 2*q - 2. Let r be u(1). Find the second derivative of 32*o**5 + 11*o - 15*o**r - 7*o**5 wrt o.
200*o**3
Let o(h) = -1 - 1 - h - 4*h. Let z(d) = d**2 - 10*d - 5. Let y = -3 + 1. Let k(i) = y*z(i) + 5*o(i). Find the second derivative of k(x) wrt x.
-4
Find the second derivative of 122957*x**3 + 176*x**4 - 562*x - 122957*x**3 wrt x.
2112*x**2
Suppose -3*f + 3*g = -0*f - 21, 2 = -4*f - 2*g. Find the third derivative of 7*s + 34*s**3 + 0*s - 7*s - 16*s**f wrt s.
204
Suppose 0 = 5*h + 4*j - 2, -2*h + 2 = -2*j - 6. Let u(y) be the second derivative of 0 - 1/6*y**4 - y + 0*y**3 - 3/2*y**h. What is the derivative of u(g) wrt g?
-4*g
Let j(l) = -l + 1. Let b(n) = 9 - 3*n - 44*n - 3. Let s(p) = b(p) - 4*j(p). What is the first derivative of s(y) wrt y?
-43
Suppose -2 = v - 4. What is the third derivative of 9*n**4 - 5 + 1 - 9*n**v + 4 wrt n?
216*n
Let i(f) be the second derivative of -f**4/4 - 4*f**3 - 7*f**2 + 33*f. Let y(w) be the first derivative of i(w). Find the first derivative of y(x) wrt x.
-6
Let z(t) be the first derivative of 5/4*t**4 + 0*t**3 - 9 + 0*t - 9/2*t**2. Find the second derivative of z(m) wrt m.
30*m
Let i be 18 + 4/((-4)/(-1)). Differentiate 3 + 11*r**2 + 19*r - i*r with respect to r.
22*r
Let y = 240 - 236. Let k(o) be the second derivative of -5/6*o**3 + 2/3*o**y + 0 + 8*o + 0*o**2. Find the second derivative of k(z) wrt z.
16
Let m(s) be the first derivative of 0*s**3 + 0*s**4 + 21/2*s**2 + 8/5*s**5 + 0*s + 6. What is the second derivative of m(q) wrt q?
96*q**2
Let n = -4 + 9. Suppose 4*k + n*c - 31 = 0, 0*c + 3*c = k + 5. Find the third derivative of 6*t**2 - 29 + 29 - k*t**3 wrt t.
-24
Let d(w) be the second derivative of 9*w**5/5 + w**3 + 429*w**2/2 + 68*w + 2. Find the first derivative of d(s) wrt s.
108*s**2 + 6
Let t be (-4 + 9)/1 + -3. Find the second derivative of -2*v + 22*v**2 - 26*v**2 + t*v - 7*v wrt v.
-8
Suppose -4*h = 3*v - 1 + 7, 5*h + 19 = 2*v. Find the second derivative of -13*j**2 - v*j - 8 + 13*j**2 + 46*j**4 wrt j.
552*j**2
What is the third derivative of -4*x**2 + 22*x**3 - 88*x**2 + 29*x**3 - 24*x**2 + 40*x**3 wrt x?
546
Let j = -25 - -20. Let i = j + 9. What is the first derivative of i*m**2 - 1 + 6 + 3 - 9*m**2 wrt m?
-10*m
What is the second derivative of 14*w - 126*w**4 + 0*w**2 + 8*w**2 + 40*w**4 - 10*w**2 wrt w?
-1032*w**2 - 4
Let a(b) be the third derivative of b**8/1344 - b**5/12 + b**4/24 - 6*b**2. Let q(o) be the second derivative of a(o). Differentiate q(v) with respect to v.
15*v**2
Let u = -137 - -233. Let o be 36/u + (-21)/(-8). What is the second derivative of -12*n**o - 7*n + 21*n**3 + 0*n wrt n?
54*n
Let z = 4/21 + 8/7. Let q(f) be the second derivative of z*f**3 - 10*f + 0*f**4 + 0*f**2 + 2/5*f**5 + 0. What is the second derivative of q(y) wrt y?
48*y
Let i(k) = -k - 1. Let z be i(-6). Let n = z + 1. Find the third derivative of r**2 - 10*r**n - 5*r**2 - r**6 - 2*r**2 wrt r.
-1320*r**3
Let p = -52 - -54. Find the third derivative of 14*o**p - 19*o**2 + 25*o**4 + 3*o**2 wrt o.
600*o
Let g(f) be the second derivative of -17*f**5/10 + 31*f**2 + 4*f. Differentiate g(l) wrt l.
-102*l**2
Let b(s) be the third derivative of s**6/8 - s**5/60 - 187*s**3/6 + 9*s**2 - 2*s. Find the first derivative of b(j) wrt j.
45*j**2 - 2*j
Let p(t) = t + 7. Let r be p(3). Differentiate r*w - 27 + 14 - 4 wrt w.
10
Let q(d) be the third derivative of -d**7/210 + d**5/15 - d**4/3 - 30*d**2. Let b(c) be the second derivative of q(c). Differentiate b(i) wrt i.
-24*i
Let r(f) = 5*f**3 - 15*f**2 + 6*f + 6. Let m = 35 - 36. Let b(j) = j**2 + j + 1. Let c(l) = m*r(l) + 6*b(l). What is the third derivative of c(h) wrt h?
-30
Let b(n) be the third derivative of 0 + 5/24*n**6 - 1/4*n**4 + 0*n**3 + 0*n + 0*n**5 - 19*n**2. What is the second derivative of b(w) wrt w?
150*w
Let s(d) = -d**2 + 14*d - 22. Let y be s(12). What is the first derivative of -7 - l**2 - l**2 + 0*l**y + l**2 wrt l?
-2*l
Let x be (-4 + 1)*(-3)/(27/15). Find the third derivative of -139*t**2 + t - t + 141*t**2 + x*t**4 wrt t.
120*t
What is the third derivative of 28*q**5 - 22*q**5 + 0*q**2 - 5*q**4 - 2*q**2 - 53 wrt q?
360*q**2 - 120*q
Let s(f) be the third derivative of -11*f**8/168 - f**5/60 + 3*f**4/8 - 49*f**2. Find the third derivative of s(t) wrt t.
-1320*t**2
Let h(v) be the first derivative of -113*v**3/3 + 326*v - 116. Differentiate h(g) wrt g.
-226*g
Let v(w) be the first derivative of -124*w**5/5 + 2*w**3/3 + w**2/2 - 314*w + 254. What is the second derivative of v(g) wrt g?
-1488*g**2 + 4
Let j(m) be the second derivative of -m**5/20 - 11*m**4/6 + m**3/3 - 7*m. Find the third derivative of j(y) wrt y.
-6
Let m(h) = -26*h**3 + 7*h**2 + 15. Let x(c) = -13*c**3 + 4*c**2 + 7. Let w = -43 - -36. Let k(g) = w*x(g) + 4*m(g). What is the first derivative of k(t) wrt t?
-39*t**2
Let w = 14 + -8. Suppose 2*u + 0*u = w. What is the third derivative of u*z**6 + 109*z - 109*z + 5*z**2 wrt z?
360*z**3
Suppose -2*m + 18 - 8 = 0. What is the second derivative of -17*h**5 + 6*h + 16*h**3 - 3*h**m - 16*h**3 wrt h?
-400*h**3
Let q(m) = -m**2 - 10*m - 7. Let z be q(-9). What is the third derivative of 3*f**z + 3*f**2 + f**5 + 6*f**5 wrt f?
420*f**2
Let w be ((-3)/(-6))/(8/448). What is the second derivative of -12*g + 28*g**2 + 12*g**4 + 4*g**4 - w*g**2 wrt g?
192*g**2
Differentiate 273*s**4 - 431 + 199 - 174 with respect to s.
1092*s**3
Let k(b) = -36*b. Let h be k(-1). What is the second derivative of -20*o**2 - 39*o - h*o + 81*o wrt o?
-40
Let h(x) = 2*x - 1. Let o be h(11). Suppose -5*r + o = -4, -y + 4*r = 17. Differentiate m**4 - y + 10 - 10 with respect to m.
4*m**3
Suppose 5*g - 6*g + 6 = 0. Suppose g = 2*r + 2. Find the third derivative of 0*w**4 - w**4 + 0*w**r + 3*w**2 wrt w.
-24*w
Let x(c) = c**3 + 10*c**2 + 2*c + 23. Let m be x(-10). What is the first derivative of -5*h**m - 15 - 4*h**3 + 13 wrt h?
-27*h**2
Let u(o) = -o**3 + 7*o**2 - 8*o - 41. Let l(x) = 4*x**2 - 5*x - 20. Let w(d) = -5*l(d) + 3*u(d). What is the second derivative of w(y) wrt y?
-18*y + 2
Let m be (-1*(-42)/9)/(1/3). Differentiate g**4 + 4*g**4 + 1 - m + 1 wrt g.
20*g**3
Let f = 2/57 + 91/114. Let k(z) be the third derivative of 0 - 6*z**2 - 1/210*z**7 + f*z**3 + 0*z**4 + 0*z + 0*z**6 + 0*z**5. Differentiate k(t) wrt t.
-4*t**3
Let h(l) = -34*l**4 - 14*l**3 + 14*l**2 + 26. Let q(z) = z**4 + z**3 - z**2. Let s(x) = -6*h(x) - 84*q(x). What is the first derivative of s(w) wrt w?
480*w**3
Let q be 246/(-12)*4/(-1). Suppose -q = -4*m - 0*m - 5*y, -2*y = -3*m + 50. What is the first derivative of -18*u - 10*u**3 + m*u - 5 wrt u?
-30*u**2
Suppose x - 6*x = -40. Let m = 10 - x. What is the third derivative of -8*s**2 + 6*s**6 + s**m + s**2 wrt s?
720*s**3
Let n(p) be the second derivative of p**7/42 - 3*p**3/2 + 5*p**2/2 + 12*p. Let w(j) be the first derivative of n(j). What is the derivative of w(a) wrt a?
20*a**3
Let z(n) be the first derivative of -6*n + 0*n**2 - 25/3*n**3 - 16. Find the first derivative of z(o) wrt o.
-50*o
Let p(j) = -j**2 - 13*j + 2. Let o be p(-13). Let b be o - -1 - (-2 - -2). Find the second derivative of 4*n**3 - 2*n + 2*n**3 + 0*n**b - 3*n**3 wrt n.
18*n
Let n(x) = 3*x**2 - x + 2. Let y(r) = -79*r**2 - 422*r + 2. Let m(s) = n(s) - y(s). What is the second derivative of m(u) wrt u?
164
What is the derivative of -54*k**2 - 58*k**2 - 8*k - 44*k**2 - 284 + 8*k wrt k?
-312*k
Find the first derivative of 23 - 2*i + 8 + 28 + 34*i**2 + 103 - i wrt i.
68*i - 3
Find the first derivative of -22*v**4 - 26*v**4 + 34 + 23 + 5*v**4 wrt v.
-172*v**3
Let q(p) = p**2 + 4*p. Let b be 2 - (-12)/(-3 - -1). Let a(j) = 2*j - 2*j + 0*j + j**2. Let t(x) = b*a(x) + q(x). What is the second derivative of t(v) wrt v?
-6
Suppose -30*d - 6 = -36*d. Let m(q) = -21*q**3 + 3*q**2 + 7*q. Let h(y) = y**3 + y**2. Let v(i) = d*m(i) - 3*h(i). Find the second derivative of v(t) wrt t.
-144*t
Let w(j) be the second derivative of 6*j + 23/12*j**4 + 0*j**5 + 2/15*j**6 + 0 + 0*j**3 + 0*j**2. Find the third derivative of w(q) wrt q.
96*q
Let f(q) = -2*q + 0 - 7 + 0*q. Let w be f(-6). Find the third derivative of -h**2 - 2*h**2 + 2*h**2 + 5*h**w + 4*h**2 wrt h.
300*h**2
Let g(u) = u**2 + 9*u + 490. Let q(p) = 1. Let v(m) = g(m) + 4*q(m). What is the derivative of v(h) 