 c, given that c**5/10 - 77*c**4/10 + 437*c**3/10 - 787*c**2/10 + 213*c/5 = 0.
0, 1, 2, 3, 71
Find g such that -3*g**2 + 162*g - 312 = 0.
2, 52
Factor i**2 - 214*i.
i*(i - 214)
Factor -x**2/2 + 1705*x/2 + 1707.
-(x - 1707)*(x + 2)/2
Factor -2*y**2/5 - 246*y/5 - 920.
-2*(y + 23)*(y + 100)/5
Factor 5*k**5 + 475*k**4 + 11515*k**3 + 11045*k**2.
5*k**2*(k + 1)*(k + 47)**2
Solve 4*t**4 + 28*t**3 + 16*t**2 - 48*t = 0 for t.
-6, -2, 0, 1
Factor -6*l**3 - 298*l**2 - 3650*l + 1250.
-2*(l + 25)**2*(3*l - 1)
What is f in -3*f**4/5 + 83*f**3 + 279*f**2/5 - 139*f/5 = 0?
-1, 0, 1/3, 139
Factor 2*w**2/5 + 264*w/5 + 8712/5.
2*(w + 66)**2/5
Factor r**2 - 25*r/4 + 3/2.
(r - 6)*(4*r - 1)/4
Factor 44*b**2/3 - 7636*b/3 + 1384.
4*(b - 173)*(11*b - 6)/3
Let -3*c**2 + 103*c - 34 = 0. Calculate c.
1/3, 34
Factor 4*v**3 - 112*v**2 + 212*v - 104.
4*(v - 26)*(v - 1)**2
Factor 3*q**3 - 27*q**2 + 24*q.
3*q*(q - 8)*(q - 1)
Factor -2*l**3/13 - 18*l**2/13 + 8*l/13 + 72/13.
-2*(l - 2)*(l + 2)*(l + 9)/13
Factor -2*u**4 + 68*u**3.
-2*u**3*(u - 34)
Factor 3*u**4 - 138*u**3 - 585*u**2 - 744*u - 300.
3*(u - 50)*(u + 1)**2*(u + 2)
Determine r, given that -r**2/6 - r/3 + 21/2 = 0.
-9, 7
Solve 4*z**4/5 - 472*z**3 + 69620*z**2 = 0.
0, 295
Factor -8*f**2 + 81*f/5 - 2/5.
-(f - 2)*(40*f - 1)/5
Determine p, given that 2*p**4/5 + 102*p**3/5 - 104*p**2/5 = 0.
-52, 0, 1
Factor 5*a**5/6 + 25*a**4/6 + 35*a**3/6 + 5*a**2/2.
5*a**2*(a + 1)**2*(a + 3)/6
Factor -2*v**2/9 - 208*v/9 - 1690/3.
-2*(v + 39)*(v + 65)/9
Factor 3*p**4/2 - 45*p**3/2 + 54*p**2.
3*p**2*(p - 12)*(p - 3)/2
Suppose u**4 - 22*u**3/3 + 52*u**2/3 - 14*u + 3 = 0. What is u?
1/3, 1, 3
Factor v**5/4 + 13*v**4/2 + 51*v**3 + 126*v**2.
v**2*(v + 6)**2*(v + 14)/4
Find o, given that 8*o**5/17 - 2*o**4/17 - 48*o**3/17 - 52*o**2/17 - 8*o/17 + 6/17 = 0.
-1, 1/4, 3
Suppose -3*q**2 + 546*q - 24843 = 0. Calculate q.
91
Factor 13*n**3/3 - 74*n**2/3 + 31*n + 12.
(n - 3)**2*(13*n + 4)/3
Factor 5*j**4 - 100*j**3 + 385*j**2 + 1210*j.
5*j*(j - 11)**2*(j + 2)
Let -u**2 + 3430*u - 2941225 = 0. What is u?
1715
Factor -17*z**3/2 - 31*z**2/4 + 71*z/4 - 3/2.
-(z - 1)*(z + 2)*(34*z - 3)/4
Find q such that 3*q**2/5 - 162*q/5 + 2187/5 = 0.
27
Factor j**3/5 - 124*j**2/5 - 25*j.
j*(j - 125)*(j + 1)/5
Let 147*d**4 - 63*d**3 - 366*d**2 - 180*d - 24 = 0. Calculate d.
-1, -2/7, 2
Suppose 4*v**5 - 96*v**4 + 80*v**3 + 280*v**2 - 84*v - 184 = 0. What is v?
-1, 1, 2, 23
Let 3*o**2 - 6372*o + 12732 = 0. What is o?
2, 2122
Factor -2*i**3/3 - 118*i**2/3 - 560*i + 600.
-2*(i - 1)*(i + 30)**2/3
Find y such that 32*y**2/9 + 400*y/3 + 1250 = 0.
-75/4
Factor -52*p**3/7 + 16*p**2 - 68*p/7 + 8/7.
-4*(p - 1)**2*(13*p - 2)/7
Suppose -4*x**3 + 92*x**2 - 320*x + 304 = 0. What is x?
2, 19
What is n in 2*n**5 - 4*n**4 - 26*n**3 - 20*n**2 = 0?
-2, -1, 0, 5
Solve -2*p**4 + 462*p**3 + 2*p**2 - 462*p = 0.
-1, 0, 1, 231
Factor -2*h**3 - 36*h**2 + 38*h.
-2*h*(h - 1)*(h + 19)
Find a, given that 65*a**3 + 485*a**2 + 210*a = 0.
-7, -6/13, 0
Determine o, given that 3*o**3/2 + 21*o**2/2 - 2067*o/2 + 16731/2 = 0.
-33, 13
Find q, given that -6845*q**5 - 34965*q**4 - 44790*q**3 - 4540*q**2 - 120*q = 0.
-3, -2, -2/37, 0
Find f, given that -2*f**4 + 308*f**3 - 286*f**2 - 3044*f - 2448 = 0.
-2, -1, 4, 153
Suppose -2*l**5 + 848*l**4 - 118416*l**3 + 5240092*l**2 + 28505906*l + 35090484 = 0. Calculate l.
-3, -2, 143
Find z such that z**2/2 + 26*z + 338 = 0.
-26
Factor -6*q**4/5 + 198*q**3/5 - 2106*q**2/5 + 7098*q/5.
-6*q*(q - 13)**2*(q - 7)/5
Solve 2*q**4/7 + 30*q**3/7 + 138*q**2/7 + 130*q/7 - 300/7 = 0 for q.
-6, -5, 1
Factor -5*d**4 - 55*d**3 - 215*d**2 - 345*d - 180.
-5*(d + 1)*(d + 3)**2*(d + 4)
Solve -s**5/5 + 2*s**4/5 + 3*s**3/5 - 8*s**2/5 + 4*s/5 = 0.
-2, 0, 1, 2
Let 2*g**2 + 1970*g - 1972 = 0. Calculate g.
-986, 1
Factor 5*o**5 + 505*o**4 + 990*o**3 - 10*o**2 - 995*o - 495.
5*(o - 1)*(o + 1)**3*(o + 99)
Solve -2*p**4/5 - 12*p**3/5 + 24*p**2/5 + 76*p/5 + 42/5 = 0 for p.
-7, -1, 3
What is w in -2*w**4 - 5268*w**3 - 3468978*w**2 = 0?
-1317, 0
Solve -2*m**3/9 + 8*m**2/3 = 0 for m.
0, 12
Find v, given that -7*v**4/3 - 5*v**3/3 + 10*v**2 + 20*v/3 - 8/3 = 0.
-2, -1, 2/7, 2
What is f in -5*f**3 + 325*f**2 - 930*f = 0?
0, 3, 62
Solve -3*r**3 + 105*r**2 - 384*r + 372 = 0 for r.
2, 31
What is t in t**5/4 - 5*t**4/4 - 17*t**3/4 + 21*t**2/4 = 0?
-3, 0, 1, 7
Let -2916*a**5 + 25812*a**4 - 1960*a**3 - 140688*a**2 - 20768*a - 768 = 0. Calculate a.
-2, -2/27, 3, 8
Find f, given that 2*f**5/7 + 64*f**4/7 + 530*f**3/7 - 36*f**2 - 1080*f + 10800/7 = 0.
-15, -6, 2
Suppose 2*n**3 - 112*n**2 + 1674*n - 2916 = 0. What is n?
2, 27
Factor -4*p**2 + 16*p/3 - 4/3.
-4*(p - 1)*(3*p - 1)/3
Solve -2*m**2/5 - 24*m/5 - 8 = 0.
-10, -2
Determine o so that -4*o**4 + 366*o**3 - 540*o**2 - 2*o + 180 = 0.
-1/2, 1, 90
Let -3*c**3 + 132*c**2 - 1311*c - 3174 = 0. What is c?
-2, 23
Solve -n**5/9 + 7*n**4 - 893*n**3/9 - 1045*n**2/3 - 242*n = 0 for n.
-2, -1, 0, 33
Find l, given that l**2/6 - 5*l/2 + 7/3 = 0.
1, 14
What is q in -9*q**4 + 69*q**3 - 198*q**2 + 252*q - 120 = 0?
5/3, 2
Find y, given that -4*y**2 - 598*y + 300 = 0.
-150, 1/2
Find h, given that 3*h**2/5 - 189*h/5 - 192/5 = 0.
-1, 64
Factor v**4/2 + 16*v**3 + 205*v**2/2 + 159*v + 72.
(v + 1)**2*(v + 6)*(v + 24)/2
Factor -11*k**3 - 922*k**2 - 7257*k + 1350.
-(k + 9)*(k + 75)*(11*k - 2)
Find a such that 4*a**3/9 - 56*a**2/9 + 28*a - 40 = 0.
3, 5, 6
Let 3*q**2 - 411*q + 810 = 0. What is q?
2, 135
What is s in 5*s**5 - 1085*s**4 + 77745*s**3 - 1785215*s**2 - 3890170*s = 0?
-2, 0, 73
What is r in -2*r**2/5 + 62*r/5 = 0?
0, 31
Find v, given that 12*v**2 + 1964*v - 656 = 0.
-164, 1/3
Find q such that -q**5 + 15*q**4 - 48*q**3 + 44*q**2 = 0.
0, 2, 11
Factor -3*i**3 - 252*i**2 - 1167*i + 1422.
-3*(i - 1)*(i + 6)*(i + 79)
Factor -2*n**3 + 26*n**2 + 60*n.
-2*n*(n - 15)*(n + 2)
Factor i**5/9 + 35*i**4/9 + 34*i**3/9.
i**3*(i + 1)*(i + 34)/9
Factor -2*r**4/3 + 28*r**3 - 160*r**2/3.
-2*r**2*(r - 40)*(r - 2)/3
Factor 2*b**2/17 - 22*b + 2172/17.
2*(b - 181)*(b - 6)/17
Factor -20*g**3 + 48*g**2 - 16*g.
-4*g*(g - 2)*(5*g - 2)
Suppose -152*j**5 - 104*j**4 + 10*j**3 + 12*j**2 = 0. What is j?
-1/2, 0, 6/19
Solve 5*x**4 - 10*x**3 - 45*x**2 + 90*x = 0 for x.
-3, 0, 2, 3
Determine q, given that -12*q**4 - 111*q**3 - 195*q**2 - 42*q = 0.
-7, -2, -1/4, 0
Find h such that 28*h**4 - 208*h**3 + 3544*h**2/7 - 3120*h/7 + 900/7 = 0.
5/7, 3
Factor 3*y**2 + 6132*y + 3133452.
3*(y + 1022)**2
Find w such that 2*w**2/11 - 3612*w/11 + 1630818/11 = 0.
903
Solve -2*u**2 - 4384*u + 4386 = 0 for u.
-2193, 1
Find r, given that -3*r**2/2 + 149*r/2 - 49 = 0.
2/3, 49
Find t such that -5*t**3 + 530*t**2 - 14045*t = 0.
0, 53
Factor -3*a**2 - 126*a - 1323.
-3*(a + 21)**2
Factor -2*w**4 - 4*w**3 + 8*w**2 + 4*w - 6.
-2*(w - 1)**2*(w + 1)*(w + 3)
Suppose -4*r**3 + 368*r**2 - 3788*r - 4160 = 0. Calculate r.
-1, 13, 80
Factor 45*i**2 + 30*i - 40.
5*(3*i - 2)*(3*i + 4)
Factor 16*s**3 - 1028*s**2 + 4976*s - 1180.
4*(s - 59)*(s - 5)*(4*s - 1)
Factor 4*i**2/5 + 32*i/5 + 28/5.
4*(i + 1)*(i + 7)/5
Suppose f**4/4 - 5*f**3/2 + 8*f**2 - 8*f = 0. Calculate f.
0, 2, 4
Find f, given that f**4/4 + 15*f**3/2 - f**2/4 - 15*f/2 = 0.
-30, -1, 0, 1
Determine w, given that 6*w**2 - 9*w/2 - 3/2 = 0.
-1/4, 1
Factor 15*b**2 + 130*b - 45.
5*(b + 9)*(3*b - 1)
Let -5*m**3 - 40*m**2 - 95*m - 60 = 0. What is m?
-4, -3, -1
Factor 4*f**4/3 - 40*f**3/3 + 36*f**2 - 24*f.
4*f*(f - 6)*(f - 3)*(f - 1)/3
Let -3*p**3 + 45*p**2 = 0. What is p?
0, 15
Find w such that -3*w**3 + 84*w**2 - 159*w + 78 = 0.
1, 26
Factor 3*b**2/5 - 3444*b/5 + 988428/5.
3*(b - 574)**2/5
Factor 24*a**3 + 74*a**2 + 17*a.
a*(4*a + 1)*(6*a + 17)
Determine x so that -8*x**3/7 - 2350*x**2 - 8458384*x/7 - 2113568/7 = 0.
-1028, -1/4
Factor n**2 - 100*n + 99.
(n - 99)*(n - 1)
Determine h so that -h**3/3 + 7*h**2 - 74*h/3 - 32 = 0.
-1, 6, 16
Let 2*g**2 - 222*g + 3916 = 0. Calculate g.
22, 89
Let 15*k**3 - 114*k**2 + 57*k + 42 = 0. Calculate k.
-2/5, 1, 7
Find p, given that -p**4/5 + 692*p**3/5 - 23943*p**2 - 692*p/5 + 119716/5 = 0.
-1, 1, 346
Solve -6*o**2 - 358*o + 120 = 0.
-60, 1/3
What is r in 5*r**3 + 150*r**2 + 1440*r + 4320 = 0?
-12, -6
Find g, given that 3*g**2/7 - 36*g/7 + 60/7 = 0.
2, 10
Determine r so that 3*r**2 - 660*r + 36300 = 0.
110
Find k, given that k**4/5 - 6*k**3 - 97*k**2/5 - 66*k/5 =