11. Find y, given that 2/9*y + 5/9*y**2 + t*y**3 - 1/9*y**5 + 0 - 1/9*y**4 = 0.
-1, 0, 2
Let a = -1007 - -2453. Let b = a - 7227/5. Let 0*h - 6/5*h**2 - 9/5*h**3 - b*h**4 + 0 = 0. Calculate h.
-2, -1, 0
Let x be ((-8)/(-28))/((-2)/(-14)). Suppose -5*i + 2*y - 3*y = -23, -i + 11 = -3*y. Solve -i*t**2 + 5*t - t**4 - t**3 - x*t**2 + 10*t**2 + 2 = 0.
-1, 2
Let z(c) be the first derivative of -49*c**6/24 + 247*c**5/20 - 157*c**4/16 - 145*c**3/4 + 9*c**2/4 - 882. Let z(g) = 0. Calculate g.
-1, 0, 2/49, 3
Let y(w) be the first derivative of 11*w**6/2 - 93*w**5/5 - 117*w**4/4 + 115*w**3 - 66*w**2 - 36*w - 49. Solve y(q) = 0.
-2, -2/11, 1, 3
Let q(c) be the second derivative of -c**5/80 + 31*c**4/48 - 55*c**3/6 - 63*c**2/2 - c - 2987. Factor q(o).
-(o - 18)*(o - 14)*(o + 1)/4
Let c(b) be the third derivative of b**5/480 + 2987*b**4/96 + 8922169*b**3/48 - 336*b**2 - 4. Determine f so that c(f) = 0.
-2987
Let w(r) be the second derivative of r**6/15 - 47*r**5/4 + 29*r**4 + r**3/6 - 58*r**2 + 2393*r. Factor w(z).
(z - 116)*(z - 1)**2*(2*z + 1)
Factor -33*z**3 - 20*z**4 - 142*z**3 - 526*z**2 + 571*z**2.
-5*z**2*(z + 9)*(4*z - 1)
Let m = 4391/4 + -13157/12. Let u(d) be the first derivative of m*d**2 - 2/3*d + 19 - 2/3*d**3. What is s in u(s) = 0?
1/3, 1
Solve 1/3*z**4 - 23/3*z**3 + 0 + 560/3*z + 32/3*z**2 = 0.
-4, 0, 7, 20
What is t in 855/2*t - 1/2*t**2 - 427 = 0?
1, 854
Let y(v) be the second derivative of -v**6/70 + 12*v**5/35 + 57*v**4/28 - 585*v - 2. Determine p so that y(p) = 0.
-3, 0, 19
Suppose 0 = 4*l - 0*q + 4*q - 60, 4*l - 60 = 3*q. Let 7017 - l*u**2 - 10*u**3 + 10*u - 7017 = 0. Calculate u.
-2, 0, 1/2
Suppose -5 = -5*n, v + 8*n - 6 = 6*n. Let j be ((-48)/(-84))/(v/28). Let 16/9*t + 2/9*t**2 + 8/9 - 2/9*t**j - 10/9*t**3 + 2/9*t**5 = 0. What is t?
-1, 2
Let c(g) = -65*g + 110. Let p be c(5). Let v = 217 + p. Solve -4/3*u + 2*u**v - 2/3*u**3 + 0 = 0.
0, 1, 2
Let s(z) = -65*z**3 - 389*z**2 + 17*z + 68. Let p be s(-6). What is h in -6 + h + 1/3*h**p = 0?
-6, 3
Suppose -4*k = s - 727, 102*k + 911 = 107*k + 2*s. Let t(n) = -67*n - 1. Let h be t(-1). Let 30*m**5 + 181 - h*m**3 - 28*m**4 - k + 8*m = 0. What is m?
-1, -2/5, 0, 1/3, 2
Let h be 305/244*(-1)/(-270). Let y(g) be the third derivative of 18*g**2 + 0*g - h*g**4 + 0 - 1/27*g**3 + 1/540*g**5. Factor y(v).
(v - 2)*(v + 1)/9
Let y = -882 + 837. Let h be (-44)/y - (-4)/18. Factor -8/5 + 0*n + h*n**2 - 2/5*n**3.
-2*(n - 2)**2*(n + 1)/5
Let b = 26994 - 53987/2. Let 3 - b*r**2 + 1/2*r = 0. Calculate r.
-2, 3
Let z(m) be the second derivative of m**4/15 + 276*m**3/5 + 85698*m**2/5 - 1993*m. Determine g so that z(g) = 0.
-207
Suppose 26*t + 52 = 22*t. Let x = t - -16. Factor 2*o + 12*o**2 + x*o**2 + 5*o**3 - 2*o.
5*o**2*(o + 3)
Let k be (45/6)/3*18/(-15). Let j(q) = -q**2 - 30*q - 3. Let v(z) = 3*z**2 + 85*z + 8. Let s(x) = k*v(x) - 8*j(x). Factor s(p).
-p*(p + 15)
Suppose 2006*q - 6942 = -308*q. Factor -4/7 - 1/7*c**q + 3/7*c**2 + 0*c.
-(c - 2)**2*(c + 1)/7
Let z(j) = 11*j**3 + 463*j**2 - 924*j + 490. Let s(u) = -27*u**3 - 1158*u**2 + 2313*u - 1224. Let t(n) = -5*s(n) - 12*z(n). Solve t(f) = 0.
-80, 1
Suppose 0 = -0*x + 2*x - 3*u - 5, 4*x + 30 = -2*u. Let v(j) = j**2 + 2*j - 12. Let i be v(x). Factor -64*k + 16 + 44*k**2 + 100*k**i - 8*k**2 - 16*k**2.
4*(k + 1)*(5*k - 2)**2
Let b(f) be the second derivative of 7/60*f**3 + 1/120*f**4 + 0 + 147*f + 3/10*f**2. Let b(k) = 0. What is k?
-6, -1
Let s = -3207 - -3207. Let x(t) be the first derivative of s*t + 1/12*t**4 - 1/9*t**3 - 4 + 0*t**2. Find q, given that x(q) = 0.
0, 1
Let y = -19013 + 19022. Factor 0 - 21/5*f**2 + 0*f - 3/5*f**5 - 27/5*f**4 - y*f**3.
-3*f**2*(f + 1)**2*(f + 7)/5
Let y = -28 + 71. Let v = y - 41. Determine g so that 129*g - 132*g - 8*g**v + 2*g**2 = 0.
-1/2, 0
Let w(x) be the first derivative of -4/21*x**3 + 2/7*x**2 + 24*x + 234. Find i such that w(i) = 0.
-6, 7
Factor -1927*a**2 - 5*a**3 + 379*a**2 - 1862*a**2 + 1091*a**2 - 1716*a**2 + 8085*a - 4045.
-5*(a - 1)**2*(a + 809)
Let t(a) be the first derivative of -84*a**5/55 + 95*a**4/22 - 122*a**3/33 + 5*a**2/11 + 6*a/11 - 63. Let t(n) = 0. What is n?
-1/6, 3/7, 1
Let s be (2/5 + (-86)/140)*(-18)/27. Let h(b) be the first derivative of 2/21*b**3 - 2/7*b + 9 - 1/14*b**4 + s*b**2. Factor h(n).
-2*(n - 1)**2*(n + 1)/7
Suppose -135*p + 635646 = 635376. Suppose -29/4*z + 15/4 - 1/2*z**p = 0. What is z?
-15, 1/2
Let q(v) be the second derivative of v**7/49 + 61*v**6/5 + 68052*v**5/35 - 22898*v**4/7 + v + 2. Determine i, given that q(i) = 0.
-214, 0, 1
Let t = -5 + 7. Let r = -626854 - -4387987/7. Factor -6/7 + r*x - 3/7*x**t.
-3*(x - 2)*(x - 1)/7
Let w(y) = y**3 - 7*y**2 - 3*y + 11. Let f be w(8). Suppose -4*o - f = -59. Factor -21*a**5 - 7*a - 2*a**4 + 5*a**o - 3*a**3 + a**3 + 3*a**2 + 22*a**5 + 2.
(a - 1)**4*(a + 2)
Suppose -j + 2 = -0*j. Suppose 7*x = -3*x + 20. Let 13*z**x - 17*z**j - 8*z + 4*z = 0. Calculate z.
-1, 0
Let x(u) be the first derivative of u**6/12 + 11*u**5/20 + 11*u**4/8 + 5*u**3/3 + u**2 + 137*u + 110. Let h(v) be the first derivative of x(v). Factor h(s).
(s + 1)**2*(s + 2)*(5*s + 2)/2
Suppose 31 - 21 = 5*o. Let y(s) = s**2 - 3*s + 4. Let j be y(o). Factor l**2 + 3*l**j - 59*l + 55*l.
4*l*(l - 1)
Suppose 139*l = -1044 + 2246 + 1698 + 2938. Suppose -882 - 1/2*o**2 - l*o = 0. Calculate o.
-42
What is i in 8/11*i - 2*i**2 + 120/11 + 2/11*i**3 = 0?
-2, 3, 10
Let i = 2377 - 2375. Let x(u) be the first derivative of 5 + u**5 + 10*u - 5/4*u**4 - 5*u**3 + 5/2*u**i. Find w such that x(w) = 0.
-1, 1, 2
Let f = 12837 - 25673/2. Let s(r) be the first derivative of 2 - 1/4*r**4 + f*r**2 - r**3 + 1/5*r**5 + 2*r. Factor s(k).
(k - 2)*(k - 1)*(k + 1)**2
Let o = 1177 + -1173. Let j(x) be the second derivative of 0 - 19*x + 16/21*x**3 + 8/7*x**2 + 5/21*x**o + 1/35*x**5. Let j(a) = 0. Calculate a.
-2, -1
Let a = -37 - -39. Let g be ((-11)/6)/(3*a/(-36)). Factor -36*s**5 - 3*s**4 + g*s**4 + 40*s**5.
4*s**4*(s + 2)
Solve 223 + 1/2*t**2 + 225/2*t = 0.
-223, -2
Factor -74/5*x + 4/5*x**2 - 78/5.
2*(x + 1)*(2*x - 39)/5
Factor 522*o**3 - 1122*o**3 - 80*o + 548*o**3 + 528*o**2.
-4*o*(o - 10)*(13*o - 2)
Let g(a) be the second derivative of -a**8/2016 - 53*a**7/3780 + 11*a**6/540 - 29*a**4/4 + 48*a. Let z(m) be the third derivative of g(m). Factor z(x).
-2*x*(x + 11)*(5*x - 2)/3
Let t(b) be the third derivative of b**7/630 + b**6/360 - b**5/60 + 3*b**4/8 + 2*b**3/3 + 32*b**2. Let z(n) be the second derivative of t(n). Solve z(p) = 0.
-1, 1/2
Let k(q) be the third derivative of -q**8/1008 - 13*q**7/630 + 17*q**6/72 + 769*q**5/180 - 185*q**4/3 + 200*q**3 - q**2 - 215*q. Solve k(s) = 0 for s.
-12, 1, 5
Let g be -14 - -23 - (2 - -10). Let j be (2/(-27) + (10 - 10))*g. Factor 4*d**3 + 48*d + 24*d**2 + 0 + j*d**4.
2*d*(d + 6)**3/9
Let g be 10*14/(-35) + (2 + 1)/((-42)/(-84)). Factor -10 - 5/6*w**g - 65/6*w.
-5*(w + 1)*(w + 12)/6
Let g(t) = -5*t**3 - 47*t**2. Let f(s) = -5*s**3 - 48*s**2. Let x(u) = 6*u + 33. Let k be x(-6). Let j(h) = k*f(h) + 2*g(h). Find o, given that j(o) = 0.
-10, 0
Suppose -3 = 2*b - 5*j - 14, -4*j = b - 38. Factor -b*y**3 + 2*y**3 + 40*y + 4*y**4 + 32 - 85*y**2 + 73*y**2.
4*(y - 4)*(y - 2)*(y + 1)**2
Let c(m) be the first derivative of -m**4/4 - 11*m**3 + 72*m**2 - 148*m + 1387. Let c(f) = 0. Calculate f.
-37, 2
Let l be 357/15 + ((-3290)/350 - (-12)/5). Factor -5/2*v**2 - 72/5 + 1/10*v**3 + l*v.
(v - 12)**2*(v - 1)/10
Factor -201*v**2 - 115*v - 197*v**2 - 116 - 193*v**2 - 198*v**2 + 790*v**2.
(v - 116)*(v + 1)
Let o(f) be the second derivative of 0*f**2 - 21/80*f**5 + 44 + 1/168*f**7 - 1/3*f**3 - f + 1/24*f**6 + 23/48*f**4. Let o(x) = 0. Calculate x.
-8, 0, 1
What is y in -429*y**2 - 44*y - 29*y + 428*y**2 + 150 = 0?
-75, 2
Let w(s) be the first derivative of -s**4/6 - 398*s**3/9 - 784*s**2/3 - 520*s + 924. Determine b, given that w(b) = 0.
-195, -2
Let r = 526543/282090 - -5/56418. Factor -2/15*b**3 - r + 38/15*b - 8/15*b**2.
-2*(b - 2)*(b - 1)*(b + 7)/15
Let i(q) be the first derivative of -q**6/12 - q**5/2 + 3*q**4 - 2*q**3/3 - 8*q**2 - 1033. Determine n, given that i(n) = 0.
-8, -1, 0, 2
Suppose 16 = 4*p - 2*j, 0*p - 3*j + 18 = p. Factor p*o - 6*o - 15*o + 3*o**2 - 8*o**2.
-5*o*(o + 3)
Let s(z) be the first derivative of -2*z**3/3 + 2*z + 1093. Let x(g) = g**2 - 1. Let q be 