*6/120 + u**5/15 + 17*u**4/3 + 38*u**2 - 2*u. What is the second derivative of s(h) wrt h?
-6*h + 8
Let n(w) = 25*w**2 + 4*w - 2. Let u(h) = 8*h**2 + 47*h**2 + 8*h**2 + 16*h - 9 + 37*h**2. Let t(z) = -9*n(z) + 2*u(z). Find the second derivative of t(q) wrt q.
-50
Let g(w) = 2. Let h(y) = -23*y - 7. Let n(o) = 22*o + 8. Let u(f) = -7*h(f) - 6*n(f). Let b(c) = 5*g(c) + u(c). Find the first derivative of b(t) wrt t.
29
Let m(o) be the first derivative of 0*o + 11/4*o**4 + 9 - 7*o**2 + 0*o**3. What is the second derivative of m(x) wrt x?
66*x
Suppose 0 = 3*m - 7 - 8. Suppose 4*w + m*c + 9 + 3 = 0, 20 = -5*c. What is the second derivative of 6*p - p - p + w*p**2 - 9*p wrt p?
4
Let v(m) = -2 - 4 - 2 + m + 4. Let y be v(6). What is the first derivative of 0*g - 4 + 0*g - y*g + 3 wrt g?
-2
What is the third derivative of -54 + 19 + 20 + 365*d**4 + 15 + 351*d**2 wrt d?
8760*d
Let b(g) be the first derivative of -13*g**2/2 - 5*g + 7. Let m(n) = -12*n - 4. Let i(j) = 3*b(j) - 4*m(j). Find the first derivative of i(v) wrt v.
9
Let x(k) = k**3 + 13*k**2 + 12*k + 6. Let j be x(-12). Suppose u - 4 = j. Find the second derivative of 8*o**4 - o + 4*o - u*o**4 wrt o.
-24*o**2
Let c be -3*1/1 - -7. Suppose -l + 4*k = -3*l + 8, 28 = 4*l - c*k. Find the third derivative of 6 - 6 - l*i**2 - i**6 wrt i.
-120*i**3
Let p(o) = o + 19. Let t be p(-8). Find the third derivative of 5*m - 5*m + 36*m**5 + t*m**5 + 41*m**2 wrt m.
2820*m**2
Let k(s) be the first derivative of s**6/72 - 3*s**4/8 - s**3/3 - 18. Let x(n) be the third derivative of k(n). Differentiate x(q) wrt q.
10*q
Let c(y) = 15*y + 8. Let h(g) = g - 1. Let s = 8 - 7. Let f(p) = s*c(p) - 2*h(p). What is the derivative of f(k) wrt k?
13
Let q(m) = 2*m**4 - m**3 + m**2 - 2*m. Let w(j) = 7*j**4 + j**3 - 16*j**2 - 104*j + 1. Let n(z) = -q(z) - w(z). What is the second derivative of n(p) wrt p?
-108*p**2 + 30
Let l(h) = -3*h**4 + 21*h**2 + 2. Let k(z) = 7*z**4 - 44*z**2 - 4. Let p(u) = -4*k(u) - 9*l(u). What is the derivative of p(m) wrt m?
-4*m**3 - 26*m
Let d(x) = -x**3 + 8*x**2 - 3*x - 8. Let z be d(4). Find the third derivative of -19*j**2 + z*j**6 - 26*j**6 - 26*j**6 wrt j.
-960*j**3
Let i(l) be the first derivative of 86*l**6/3 - l**5/5 - 51*l**3 + 41. Find the third derivative of i(v) wrt v.
10320*v**2 - 24*v
Let x(a) = a**2 + 13*a + 3. Let m(u) = u**2 + 15*u + 2. Let f(l) = 5*m(l) - 6*x(l). Differentiate f(w) wrt w.
-2*w - 3
Suppose -6*q - 2*h + 45 = -q, 0 = -3*h. What is the second derivative of -2*n**4 + n - q*n + 3*n wrt n?
-24*n**2
Let i(l) be the second derivative of l**5/20 + 5*l**4/12 + 5*l**3/3 - 57*l + 1. What is the third derivative of i(y) wrt y?
6
Let y(d) = 1221*d**3 - 786*d**2 + 5*d + 9. Let p(b) = 611*b**3 - 394*b**2 + 3*b + 5. Let n(u) = 5*p(u) - 3*y(u). Find the third derivative of n(j) wrt j.
-3648
Let v(x) be the first derivative of -x**7/7 - 7*x**4/12 + 10*x + 2. Let m(t) be the first derivative of v(t). Find the third derivative of m(i) wrt i.
-360*i**2
Suppose 5*t - s - 52 = -4, 5*s = 5*t - 60. What is the second derivative of 2*n - n**3 + t*n**3 + 16*n**3 wrt n?
144*n
What is the derivative of -170 - 221*p**4 + 509 - 208 wrt p?
-884*p**3
Suppose -4*g + 3*c + 28 = 0, -c + 16 = -5*c. Suppose 0*z = -g*z + 8. What is the second derivative of 0*y**2 - z*y**2 + 4*y + 4*y**2 wrt y?
4
Let s(w) = w**2 - 71*w - 79. Let c(j) = j**3 - j**2 + j - 2. Let x(y) = c(y) + s(y). Differentiate x(z) wrt z.
3*z**2 - 70
Let h(a) = 63*a + 155. Let j(i) = -189*i - 464. Let l(z) = 11*h(z) + 4*j(z). Differentiate l(w) with respect to w.
-63
Let b be ((3 + -6)*-2)/2. What is the third derivative of -7*p**2 - 7*p**3 + 43*p**2 + 8*p**b - 19*p**3 wrt p?
-108
Let x = -3 + -3. Let d(k) = k**2 + 5*k - 2. Let g be d(x). What is the third derivative of -4 + g*z**2 - 3 + 7 - 5*z**4 wrt z?
-120*z
Let d(z) be the third derivative of -z**6/180 + 7*z**4/12 - 4*z**3/3 - 3*z**2. Let a(l) be the first derivative of d(l). Differentiate a(i) wrt i.
-4*i
Let d(y) be the third derivative of -28*y**2 + 0*y**6 + 0 + 0*y + 0*y**3 + 0*y**7 - 1/6*y**5 + 0*y**4 - 1/12*y**8. Find the third derivative of d(c) wrt c.
-1680*c**2
Let c be 3 + (0/(-2))/2. What is the second derivative of -4*f - 6*f + 12*f**c - 4*f**3 wrt f?
48*f
What is the third derivative of -5*t**2 + 32*t**2 + 32*t**2 + 68*t**3 wrt t?
408
What is the second derivative of -132*s**2 - 10*s - 11*s + 7*s - 20*s**2 + 33*s wrt s?
-304
Let c = 100 - 91. What is the first derivative of 4*h**2 - 4*h**2 + 13*h**2 - 11 - c wrt h?
26*h
Suppose -5*w - c = c + 49, -w - 2*c - 13 = 0. Let p(r) = r + 11. Let f be p(w). Find the first derivative of -4 + 3*b**4 - 5*b**4 - 2*b**3 + f*b**3 wrt b.
-8*b**3
What is the second derivative of -1356 - 427*n + 1356 - 367*n - 433*n**3 wrt n?
-2598*n
Let h = 89 + -87. What is the derivative of -2*d**2 - 16*d**h - 9 + 0 wrt d?
-36*d
Let d be 2 - (0/(-2))/(-8). Let i(q) be the first derivative of -3 + 0*q - 7/3*q**3 + d*q**2. Find the second derivative of i(z) wrt z.
-14
What is the third derivative of 170*h**5 + 75*h**2 + 8*h - 6*h**6 - 8*h + 4*h**6 - 33*h**5 - 4*h wrt h?
-240*h**3 + 8220*h**2
Let s = 301 - 298. Let f(r) be the first derivative of -s + 2/5*r**5 + 0*r**3 + 2*r**2 + 0*r + 0*r**4. Find the second derivative of f(w) wrt w.
24*w**2
Let c be 3 + 0 - (-9)/(-9). Let x = c + 2. What is the third derivative of 2*a - 4*a + 2*a + 8*a**x - 4*a**2 wrt a?
192*a
Let t = -3 - -7. Let k = 60 + -43. Find the first derivative of t - 9*y + 32*y - k*y - 3 wrt y.
6
Find the third derivative of -f**2 - 13*f**3 - 34*f + 8*f**3 + 131*f + 36*f**3 + 16*f**3 wrt f.
282
Let o(c) = c**2 + 4*c + 1. Let h be -8 + (-5 + 4)*-2. Let s be o(h). Find the third derivative of -2*r**3 + 19*r**2 - 15*r**2 - s*r**2 wrt r.
-12
Let q = 13 - 2. What is the first derivative of 9*y - q - y - 6 + 8*y wrt y?
16
Suppose -11*u + 14*u - 36 = 0. What is the second derivative of 13*n - 81*n**3 + u*n**5 + 81*n**3 wrt n?
240*n**3
Let g(w) = 5*w + 4. Let u be g(3). Suppose -5*a + 6 = -u. Find the second derivative of -a*j**2 - j**2 - 7*j + 6*j**2 - 2*j**3 wrt j.
-12*j
What is the second derivative of -55*o**4 + 55*o + 293*o**3 - 293*o**3 + 14*o**4 + 71*o wrt o?
-492*o**2
Let w(i) = -20*i**2 - 21*i - 4. Let y(x) = 20*x**2 + 19*x + 4. Let q(p) = 3*w(p) + 4*y(p). Find the second derivative of q(b) wrt b.
40
Suppose -2*o + 0 - 8 = 0. Let a(r) = r**3 + 3*r**2 - 5*r - 2. Let q be a(o). What is the second derivative of 4*c - q*c + 5*c - c - 4*c**2 wrt c?
-8
Let g(r) = -r - 6. Let y(w) = -128*w + 31. Let i(a) = 6*g(a) - 3*y(a). What is the first derivative of i(f) wrt f?
378
Let k(p) be the third derivative of -37*p**5/60 + p**4/12 - 307*p**3/3 - 347*p**2. What is the derivative of k(t) wrt t?
-74*t + 2
What is the first derivative of -145*y**4 - 55 - 35*y**4 + 95 - 93*y**4 + 63*y**4 wrt y?
-840*y**3
Let j(a) be the third derivative of 0*a**3 + 0*a + 0*a**5 + 1/4*a**4 + 0 + 5*a**2 + 7/40*a**6. Find the second derivative of j(w) wrt w.
126*w
Differentiate -184 - 44 + 0*u**3 - 74 + 105*u**4 - 10*u**4 - u**3 with respect to u.
380*u**3 - 3*u**2
What is the second derivative of 4 + 72*v + 2*v**3 + 7785*v**4 - 7807*v**4 + v**3 wrt v?
-264*v**2 + 18*v
Let z(k) be the third derivative of k**8/168 + 3*k**7/35 + 13*k**4/8 + k**3/6 - 16*k**2 + 1. Find the second derivative of z(y) wrt y.
40*y**3 + 216*y**2
Suppose 4*l + l = 20. Let k(p) = -3*p - 11. Suppose 2*i + 15 = -i. Let n(v) = -3*v - 10. Let t(f) = i*n(f) + l*k(f). Find the first derivative of t(y) wrt y.
3
Let r(p) = -299*p**2 - 3*p + 812. Let l(f) = -591*f**2 - 7*f + 1623. Let w(j) = 3*l(j) - 7*r(j). What is the first derivative of w(n) wrt n?
640*n
Let f(p) be the first derivative of 2 - 7*p + 5/2*p**2. Differentiate f(c) wrt c.
5
Let d(q) be the first derivative of -q**6/15 + 5*q**4/4 + 4*q + 7. Let a(w) be the first derivative of d(w). What is the third derivative of a(i) wrt i?
-48*i
Let a = 7/39 - -89/156. Let t(l) be the first derivative of 0*l**2 + 0*l**3 - a*l**4 + 4*l + 2. Find the first derivative of t(u) wrt u.
-9*u**2
What is the derivative of -41*z**3 + 17096 + z + 160*z**3 - 17302 wrt z?
357*z**2 + 1
What is the first derivative of 11*b**2 + 2*b + 11 + 21 + 112 + 52 + 12 wrt b?
22*b + 2
Let p(f) be the first derivative of 0*f**2 + 0*f -