2. Let n(a) be the second derivative of v(a). Factor n(b).
b**2*(b - 1)**2*(b + 1)/2
Let x be (1 + 677)*-4*3/(-90). Let y = x + -90. Let -y*c + 1/5*c**2 + 0 = 0. What is c?
0, 2
Let w(x) be the third derivative of -1/32*x**5 + 3 + 0*x - 1/160*x**6 + 0*x**3 + 1/560*x**7 - 12*x**2 + 3/32*x**4. Suppose w(g) = 0. What is g?
-2, 0, 1, 3
Let p(l) be the third derivative of -l**8/1344 + l**7/280 + l**6/80 - l**5/24 - 7*l**4/32 - 3*l**3/8 - 7*l**2 + 1. Factor p(g).
-(g - 3)**2*(g + 1)**3/4
Factor 8*a + 0 - 3 + a**2 + 13 - 5 + 2.
(a + 1)*(a + 7)
Let d(b) be the first derivative of 4*b**5/35 - b**4/7 - 16*b**3/21 + 8*b**2/7 + 744. Suppose d(l) = 0. Calculate l.
-2, 0, 1, 2
Suppose a = 4*u - 2 - 0, -4*u = -4*a + 4. Let x = -4 + 7. Let -51/4*z**3 - x*z + 0 - 15*z**a - 3*z**4 = 0. Calculate z.
-2, -1/4, 0
Let y(z) = z**2 + 90*z - 1573. Let o be y(15). Let -24/17*b**3 + 24/17*b - 14/17*b**4 - 8/17 + 22/17*b**o = 0. What is b?
-2, -1, 2/7, 1
Let l be 8/(-12)*(-9)/1. Let s = -50 - -64. Determine z, given that -32*z**2 + 12*z**2 + 2*z + s*z**3 + 3*z + l*z**3 = 0.
0, 1/2
Let f = 179 + -172. Let x be 3 + -4 - f/(-7). Let 2/3*y**4 + x*y**2 + 4/3*y - 2/3 - 4/3*y**3 = 0. What is y?
-1, 1
Factor 40*a**3 + 15*a**2 + 8*a - 15*a**3 + 2*a + 20*a**2.
5*a*(a + 1)*(5*a + 2)
Let i be -4*((-12)/(-36) - (-4 + 185/42)). Factor 8/7*z**3 + 0 - 8/7*z + i*z**2 - 2/7*z**4.
-2*z*(z - 4)*(z - 1)*(z + 1)/7
Let w = 204 + -403/2. Let k(p) be the second derivative of -w*p**3 + 2*p + 0 + p**4 + 3*p**2 - 3/20*p**5. Factor k(f).
-3*(f - 2)*(f - 1)**2
Let q(w) be the second derivative of -w**4/28 - 53*w**3/14 - 78*w**2/7 - 301*w. What is l in q(l) = 0?
-52, -1
Let a = -131 - -131. Let u(m) be the first derivative of 2 + m**2 + m**4 + a*m + 5/3*m**3 + 1/5*m**5. Factor u(p).
p*(p + 1)**2*(p + 2)
Suppose 6/11*g - 2/11*g**5 + 0 + 12/11*g**3 - 16/11*g**2 + 0*g**4 = 0. What is g?
-3, 0, 1
Let l(m) = m**2 + 56*m + 175. Let a(n) = 10*n**2 + 670*n + 2100. Let j(v) = -2*a(v) + 25*l(v). Let j(b) = 0. What is b?
-7, -5
Let z(n) be the second derivative of 7/3*n**3 + 15*n + 0*n**2 - 1/6*n**4 + 0. What is g in z(g) = 0?
0, 7
Let 3/2*g**4 + 30*g**2 + 0 - 12*g**3 - 24*g = 0. Calculate g.
0, 2, 4
Solve 2/11*m**2 + 80/11*m + 800/11 = 0 for m.
-20
Suppose -3*r - 2*r = 95. Let b = 20 + r. Factor 2*j**4 - 3 + 2*j - b - 5*j**4 + 6*j**2 + j**4 - 2*j**3.
-2*(j - 1)**2*(j + 1)*(j + 2)
Let c(x) be the second derivative of 13*x**6/60 - 41*x**5/40 + x**4/4 + 467*x. Solve c(u) = 0 for u.
0, 2/13, 3
Let x = -22 - -22. Determine f, given that 50*f + x*f**2 - 2*f**2 - 3*f**2 - 100 - 25 = 0.
5
Let t be (6*(-9 + 4))/(42/(-4)). Let s be 240/110 + (-2)/11. What is q in 50/7 + 2/7*q**s + t*q = 0?
-5
Let i(c) be the third derivative of -c**6/24 + 5*c**5/12 - 35*c**4/24 + 5*c**3/2 - 133*c**2. What is a in i(a) = 0?
1, 3
Let f(n) be the first derivative of -n**2 - 1/5*n**5 - 5/6*n**4 - 4/3*n**3 - 1/3*n + 8. Let f(s) = 0. Calculate s.
-1, -1/3
Let y(m) be the second derivative of m**4/6 + 4*m**3/3 + 4*m**2 - 36*m - 2. Suppose y(a) = 0. Calculate a.
-2
Let s(q) = 6*q**2 + 22*q - 348. Let a be s(6). Factor -1/4*g - 3/4*g**3 + a + 1/4*g**4 + 3/4*g**2.
g*(g - 1)**3/4
Solve 180*a + 75*a**2 + 16*a**3 - 11*a**3 - 120*a + 180*a + 220 = 0 for a.
-11, -2
Suppose 62*a - 2/3*a**3 + 412/9*a**2 + 140/9 = 0. What is a?
-1, -1/3, 70
Let a(u) = -2*u + 23. Let g be a(10). Factor 4*p**g + 0 - 7 - 6*p - 1 - 6*p.
4*(p - 2)*(p + 1)**2
Let w(x) = -13*x**3 + 45*x**2 - 162*x + 310. Let s(r) = 28*r**3 - 93*r**2 + 323*r - 621. Let i(z) = 6*s(z) + 13*w(z). Suppose i(b) = 0. Calculate b.
4, 19
Let k = 668/1173 + 38/391. Factor -k*r**3 - 2/15*r**4 - 6/5*r**2 - 4/15 - 14/15*r.
-2*(r + 1)**3*(r + 2)/15
Find l such that -16/7 + 14*l**5 + 36*l**4 + 22/7*l**3 - 236/7*l**2 - 120/7*l = 0.
-2, -1, -2/7, 1
Let l(h) be the first derivative of h**4/14 - 2*h**3 - 88. Factor l(n).
2*n**2*(n - 21)/7
Let u(b) = -10*b**2 - 10*b. Suppose -z = -3*a - 14, -2*a + 0*z - 4 = 2*z. Let m(x) = 5*x**2 + 5*x. Let t(o) = a*u(o) - 9*m(o). Let t(l) = 0. Calculate l.
-1, 0
Let r = 104/3 + -389/12. Solve 7/4*i**3 + 0*i - 1/2*i**2 + r*i**4 + 0 = 0.
-1, 0, 2/9
Suppose i = -282 + 284. Let t(z) be the second derivative of -2/39*z**3 - 2*z + 0 - 1/78*z**4 + 0*z**i. Find q such that t(q) = 0.
-2, 0
Factor 0*o**2 - 1/8*o**4 + 0 + 0*o + 1/8*o**5 - 1/4*o**3.
o**3*(o - 2)*(o + 1)/8
Let d(t) = -6*t**4 - 11*t**3 - 9*t**2 + t + 5. Let m be -1 + -2 + (-80)/(-20). Let u(b) = b**3 + b**2 + b + 1. Let z(k) = m*d(k) - 5*u(k). Factor z(q).
-2*q*(q + 1)**2*(3*q + 2)
Let n(u) be the first derivative of u**6/30 - u**4/6 + u**2/2 - 15*u + 3. Let t(x) be the first derivative of n(x). Factor t(m).
(m - 1)**2*(m + 1)**2
Suppose 1/4*h**3 + 3/4*h**2 - 1/4*h - 3/4 = 0. What is h?
-3, -1, 1
Suppose 3*d = -4*h + 6, 0*h = d - 2*h - 12. Factor -19*q**2 - 6*q - 12*q**2 + 34*q**2 - 3*q**4 + d*q**3.
-3*q*(q - 2)*(q - 1)*(q + 1)
Let s(g) be the second derivative of g**4/36 + g**3/6 + g**2/3 + 11*g - 2. Find r such that s(r) = 0.
-2, -1
Solve 13*o**2 + 100 - 90*o - 4*o**3 + 11*o**2 + 2*o**3 + 0*o**2 = 0.
2, 5
Let t = 195 + -11699/60. Let j(m) be the third derivative of -5/24*m**4 + 1/120*m**6 + 0 - t*m**5 + 0*m - 4*m**2 - 1/2*m**3. Solve j(l) = 0 for l.
-1, 3
Let d(a) be the third derivative of -2*a**2 + 0*a**5 + 1/360*a**6 + 0*a - 1/24*a**4 + 2/3*a**3 + 0. Let z(x) be the first derivative of d(x). Factor z(r).
(r - 1)*(r + 1)
Let v(i) be the third derivative of -289*i**6/9 - 952*i**5/15 + 113*i**4/60 - i**3/45 - 399*i**2. Factor v(x).
-2*(x + 1)*(170*x - 1)**2/15
Let q(j) be the first derivative of j**4/14 - 158*j**3/21 + 395. Determine r, given that q(r) = 0.
0, 79
Let o be 210/126 + (-1)/6. Factor 0*r**2 + 3/4*r**5 + 3/4*r + 0 - o*r**3 + 0*r**4.
3*r*(r - 1)**2*(r + 1)**2/4
Let k = 75/238 - 2722831/2618. Let w = -1039 - k. What is y in w*y**2 + 2/11*y**5 + 2/11*y + 0 + 12/11*y**3 + 8/11*y**4 = 0?
-1, 0
Let w(z) = -12*z**2 - 851*z + 73. Let k be w(-71). Factor 1/2*s**k - 3/2*s + 1.
(s - 2)*(s - 1)/2
Let l = 523 + -85. Let u = l - 2182/5. Factor -u - 4/5*i + 1/5*i**3 + 2/5*i**2.
(i - 2)*(i + 2)**2/5
Let k(q) be the first derivative of q**6/30 - 3*q**5/20 + q**4/4 - q**3/6 + 3*q - 10. Let t(f) be the first derivative of k(f). Factor t(l).
l*(l - 1)**3
Let d(n) = -n**3 - n**2 + 3*n - 4. Let k be d(-3). Suppose 8*h - k*h - 6 = 0. Factor 5*c**2 + 2*c**2 - h*c - c**2 + 2*c**4 - 6*c**3.
2*c*(c - 1)**3
Factor 5/2*i**4 + 0 + 5/2*i**5 + 0*i + 0*i**3 + 0*i**2.
5*i**4*(i + 1)/2
Let s(b) = 7*b**4 - 19*b**3 - 39*b**2 - 13*b + 16. Let g(m) = m**4 - m**3 - m**2 + m + 2. Let y(n) = -8*g(n) + s(n). Determine d so that y(d) = 0.
-7, -3, -1, 0
Let x(t) be the second derivative of 0*t**3 + 0*t**4 + 9*t + 0 + 0*t**2 + 1/130*t**5. Find v such that x(v) = 0.
0
Suppose -1 = g - 7. Let o(n) be the third derivative of 6*n**2 + 0*n**3 - 1/120*n**g - 1/60*n**5 + 0*n + 0 + 0*n**4. Factor o(x).
-x**2*(x + 1)
Let t(d) be the second derivative of 3*d**5/4 + 5*d**4/3 - 5*d**3/2 - 10*d**2 + 23*d. Factor t(u).
5*(u - 1)*(u + 1)*(3*u + 4)
Let m be (-2 - (-2 - 1))*4. Let z be -2*(30/m)/(-5). What is g in -g**2 + 6 + 0*g**2 - z*g - 2*g**2 = 0?
-2, 1
Suppose -44 = 14*c - 44. Factor -2/5*y**3 + 0*y + c + 8/5*y**4 + 0*y**2 - 7/10*y**5.
-y**3*(y - 2)*(7*y - 2)/10
Let o(w) be the second derivative of -2*w**7/21 + 14*w**6/15 - 11*w**5/5 + 5*w**4/3 + 121*w + 1. Factor o(f).
-4*f**2*(f - 5)*(f - 1)**2
Determine y so that 0*y**2 - 4/5*y**3 + 4/5*y - 2/5 + 2/5*y**4 = 0.
-1, 1
Let g(n) be the first derivative of -1/8*n**4 - 35/4*n**2 - 51 + 49/2*n - 13/6*n**3. Factor g(b).
-(b - 1)*(b + 7)**2/2
Let q(w) be the second derivative of -w**8/1344 - w**7/252 - w**6/144 + w**4/3 - 12*w. Let i(p) be the third derivative of q(p). Determine c so that i(c) = 0.
-1, 0
Let z = 91 - 85. Let x = z - 1. Factor 0 + 2/9*p**x + 0*p + 16/9*p**3 + 8/9*p**2 + 10/9*p**4.
2*p**2*(p + 1)*(p + 2)**2/9
Let t(z) = -z - 3. Let r be t(-6). Let j(g) = 8*g**3 - g**2. Let o be j(1). Factor 9*k + 2 - k**3 - 1 - 2*k**r - o.
-3*(k - 1)**2*(k + 2)
Determine q, given that 0 - 1/5*q**4 + 3/5*q**3 - 3/5*q**2 + 1/5*q = 0.
0, 1
Factor -78 - 13*k**2 + 189*k + 20*k**2 + 8*k**2.
3*(k + 13)*(5*k - 2)
Suppose 470 = 65*o + 470. Let m = 6 + -28/5. Solve o*p - 6/5*p**3 + 4/5*p**2 + 0 + m*p**4 = 0 for p.
0, 1, 2
Let d = 16