56)**2
Determine c so that -3*c**2 + 6*c - 3 = 0.
1
Factor k**2/5 + 15*k + 216/5.
(k + 3)*(k + 72)/5
Find y, given that -2*y**2 - 4636*y + 4638 = 0.
-2319, 1
Let -141*f**3/4 - 419*f**2/8 - 135*f/8 + 1/4 = 0. What is f?
-1, -1/2, 2/141
Let -m**4/5 - 114*m**3/5 + 709*m**2/5 - 1314*m/5 + 144 = 0. Calculate m.
-120, 1, 2, 3
Factor -5*c**2 - 1565*c - 3110.
-5*(c + 2)*(c + 311)
Suppose 3*h**4/7 - 93*h**3/7 - 96*h**2/7 = 0. What is h?
-1, 0, 32
Solve 3*l**3 - 9*l**2 - 27*l + 81 = 0.
-3, 3
Determine i, given that -i**3/2 - 161*i**2/2 + 415*i = 0.
-166, 0, 5
Factor -4*v**3/7 - 1724*v**2/7 + 10452*v/7 - 15732/7.
-4*(v - 3)**2*(v + 437)/7
Suppose -8*y**4/7 + 76*y**3/7 - 244*y**2/7 + 296*y/7 - 96/7 = 0. Calculate y.
1/2, 2, 3, 4
Factor -25*a**3 + 190*a**2 - 345*a.
-5*a*(a - 3)*(5*a - 23)
Solve 2*m**2 + 2140*m + 572450 = 0 for m.
-535
Let 2*p**4 - 3812*p**3 + 1812602*p**2 + 3636648*p + 1820232 = 0. Calculate p.
-1, 954
Solve -2*d**3/5 - 102*d**2/5 - 288*d - 3456/5 = 0 for d.
-24, -3
Factor -n**3 - 17*n**2 - 70*n.
-n*(n + 7)*(n + 10)
Determine t so that 3*t**2 + 297*t + 294 = 0.
-98, -1
Suppose 63*t**5 - 192*t**4 + 199*t**3 - 66*t**2 - 12*t + 8 = 0. What is t?
-2/7, 2/3, 1
Factor 5*c**2 + 150*c - 1295.
5*(c - 7)*(c + 37)
Suppose -12*t**5 - 441*t**4 - 2757*t**3 - 1719*t**2 + 609*t = 0. Calculate t.
-29, -7, -1, 0, 1/4
Suppose 4*u**3 - 2592*u**2 + 419904*u = 0. What is u?
0, 324
Suppose j**2/8 + 23*j/8 = 0. What is j?
-23, 0
Let -n**5/2 - n**4 + n**3/2 + n**2 = 0. Calculate n.
-2, -1, 0, 1
Factor 2*v**2 + 76*v - 160.
2*(v - 2)*(v + 40)
Find z, given that -10*z**3 + 1514*z**2 - 3584*z + 1192 = 0.
2/5, 2, 149
Factor z**3 + 53*z**2 - 497*z - 549.
(z - 9)*(z + 1)*(z + 61)
Factor -4*v**2/3 + 12.
-4*(v - 3)*(v + 3)/3
Factor 25*h**3 - 250840*h**2 + 629156885*h + 251702890.
5*(h - 5017)**2*(5*h + 2)
Factor -5*h**3 - 5*h**2 + 20*h + 20.
-5*(h - 2)*(h + 1)*(h + 2)
Factor -2*n**2 - 10*n - 8.
-2*(n + 1)*(n + 4)
Let 3*b**4/5 + 1773*b**3/5 + 10566*b**2/5 + 21084*b/5 + 2808 = 0. Calculate b.
-585, -2
Find j such that 2*j**2 - 48*j + 286 = 0.
11, 13
Solve d**5/9 - 86*d**4/9 + 1849*d**3/9 = 0 for d.
0, 43
Let 2*t**5/15 - 72*t**4/5 - 44*t**3/3 + 72*t**2/5 + 218*t/15 = 0. Calculate t.
-1, 0, 1, 109
Let 4*s**5 - 220*s**4 + 3904*s**3 - 22624*s**2 + 11968*s + 38720 = 0. What is s?
-1, 2, 10, 22
Factor u**2/3 + u - 6.
(u - 3)*(u + 6)/3
Determine z so that 10*z**5 - 147*z**4 + 94*z**3 + 57*z**2 - 14*z = 0.
-1/2, 0, 1/5, 1, 14
Determine q, given that 5*q**2 - 990*q - 995 = 0.
-1, 199
Find o, given that -722*o**4/3 + 6194*o**3/3 + 3308*o**2 + 3328*o/3 + 320/3 = 0.
-1, -4/19, 10
Factor s**2/7 - 15*s/7 - 34/7.
(s - 17)*(s + 2)/7
Let t**4 - 220*t**3/3 + 1963*t**2/3 - 210*t = 0. Calculate t.
0, 1/3, 10, 63
Find y, given that -3*y**3/7 + 141*y**2/7 - 1584*y/7 - 1728/7 = 0.
-1, 24
Let 2*p**2 - 30*p + 52 = 0. What is p?
2, 13
Factor -2*w**2/7 - 16*w/7 - 30/7.
-2*(w + 3)*(w + 5)/7
Determine s so that -3*s**5/2 - 93*s**4/2 - 45*s**3 = 0.
-30, -1, 0
Factor j**2 - 3*j.
j*(j - 3)
Find r, given that 2*r**4/3 + 10*r**3/3 + 2*r**2 - 6*r = 0.
-3, 0, 1
Determine c so that 25*c**3/3 + 60*c**2 - 52*c + 32/3 = 0.
-8, 2/5
Factor -w**2/4 - 5*w/4 + 33/2.
-(w - 6)*(w + 11)/4
Factor h**3/7 + 32*h**2/7 - 103*h/7 + 10.
(h - 2)*(h - 1)*(h + 35)/7
Determine l so that l**2/2 - 611*l/2 - 306 = 0.
-1, 612
Find c, given that 4*c**2 + 37208*c + 86527204 = 0.
-4651
Solve 2*s**3/13 + 10*s**2/13 - 544*s/13 + 2688/13 = 0.
-21, 8
Factor 63*l**3 + 57*l**2 - 132*l + 12.
3*(l - 1)*(l + 2)*(21*l - 2)
Let 4*s**2 - 56*s + 96 = 0. Calculate s.
2, 12
Suppose -2*n**4/15 + 148*n**3/15 - 2864*n**2/15 + 1344*n/5 + 6912/5 = 0. Calculate n.
-2, 4, 36
Let -5*l**3 - 190*l**2 - 1600*l + 4000 = 0. What is l?
-20, 2
Factor -4*t**3/7 + 116*t**2/7 + 10660*t/7 - 356372/7.
-4*(t - 41)**2*(t + 53)/7
Factor -z**4/12 - z**3/4 + 4*z**2/3 - z.
-z*(z - 2)*(z - 1)*(z + 6)/12
Let 2*o**3/9 + 226*o**2/9 + 2110*o/9 + 5150/9 = 0. Calculate o.
-103, -5
Solve -5*q**3/2 - 85*q**2/2 - 395*q/2 - 315/2 = 0 for q.
-9, -7, -1
Suppose 8*t**3/3 + 30*t**2 - 182*t/3 = 0. Calculate t.
-13, 0, 7/4
Let -3*c**4/5 + 36*c**3/5 + 192*c**2/5 = 0. Calculate c.
-4, 0, 16
Factor -k**2/2 + 11*k/2 + 6.
-(k - 12)*(k + 1)/2
Factor -45*a**2 + 96*a - 12.
-3*(a - 2)*(15*a - 2)
Determine u, given that -749*u**2/6 - u/3 = 0.
-2/749, 0
Factor -2*y**3/5 - 38*y**2/5 + 232*y/5 - 192/5.
-2*(y - 4)*(y - 1)*(y + 24)/5
Let -2*b**3/5 + 12*b**2/5 - 2*b - 24/5 = 0. Calculate b.
-1, 3, 4
Factor 2*m**5 + 8*m**4 - 2*m**3 - 8*m**2.
2*m**2*(m - 1)*(m + 1)*(m + 4)
Determine l, given that 2*l**3/3 - 142*l**2/3 + 2078*l/3 - 646 = 0.
1, 19, 51
Find s such that -2*s**4/3 + 56*s**3/3 - 488*s**2/3 + 448*s - 384 = 0.
2, 12
Factor -m**5 + 30*m**4 + 280*m**3 + 880*m**2 + 1200*m + 608.
-(m - 38)*(m + 2)**4
Suppose -3*j**2/4 + 1911*j - 1217307 = 0. Calculate j.
1274
Factor j**5 + 3*j**4 - j**3 - 11*j**2 - 12*j - 4.
(j - 2)*(j + 1)**3*(j + 2)
Factor b**3 - 11*b**2 + 23*b + 35.
(b - 7)*(b - 5)*(b + 1)
Find v, given that 3*v**4/4 + 9*v**3/4 - 3*v**2 = 0.
-4, 0, 1
Factor -4*v**2 - 784*v - 780.
-4*(v + 1)*(v + 195)
Factor -c**3 - 148*c**2 - 147*c.
-c*(c + 1)*(c + 147)
Factor -484*y**4 - 21164*y**3 + 73152*y**2 - 60912*y.
-4*y*(y + 47)*(11*y - 18)**2
What is a in 2*a**5/11 - 38*a**4/11 + 252*a**3/11 - 648*a**2/11 + 432*a/11 = 0?
0, 1, 6
Factor 2*i**3 - 20*i**2 - 2*i + 20.
2*(i - 10)*(i - 1)*(i + 1)
Find u, given that 4*u**3 - 64*u**2 - 144*u = 0.
-2, 0, 18
Factor 2*j**4 + 8*j**3 + 6*j**2 - 8*j - 8.
2*(j - 1)*(j + 1)*(j + 2)**2
Factor -5*p**3/3 + 148*p**2/3 - 355*p - 150.
-(p - 15)**2*(5*p + 2)/3
Find c such that c**2/4 - 282*c = 0.
0, 1128
Factor -5*j**4 + 120*j**3 - 325*j**2 + 210*j.
-5*j*(j - 21)*(j - 2)*(j - 1)
Find z, given that -z**5/6 + 5*z**4/6 - 2*z**3/3 = 0.
0, 1, 4
Factor 5*q**2 + 325*q - 330.
5*(q - 1)*(q + 66)
Factor -5*a**5 - 735*a**4 - 2890*a**3 - 4310*a**2 - 2865*a - 715.
-5*(a + 1)**4*(a + 143)
Let -2*g**4/11 - 12*g**3/11 - 18*g**2/11 - 8*g/11 = 0. Calculate g.
-4, -1, 0
Factor -r**3/2 + 15*r**2 - 41*r/2 - 210.
-(r - 28)*(r - 5)*(r + 3)/2
Solve -12*m**3 - 1868*m**2 - 72384*m + 24336 = 0.
-78, 1/3
Solve 2*l**4 + 4*l**3 - 4*l - 2 = 0 for l.
-1, 1
Find g such that 10*g**3/7 + 2162*g**2/7 + 2582*g/7 + 430/7 = 0.
-215, -1, -1/5
Determine v, given that 2*v**4/5 + 24*v**3/5 - 36*v**2/5 - 136*v/5 - 78/5 = 0.
-13, -1, 3
Find j such that -81*j**5/4 + 225*j**4/2 + 134*j**3 - 444*j**2 - 212*j - 24 = 0.
-2, -2/9, 2, 6
What is c in 4*c**4 + 108*c**3 - 236*c**2 - 108*c + 232 = 0?
-29, -1, 1, 2
Factor -3*m**4 + 114*m**3 - 603*m**2 + 876*m - 384.
-3*(m - 32)*(m - 4)*(m - 1)**2
Determine a, given that -2*a**5/5 - 4*a**4/5 + 96*a**3/5 = 0.
-8, 0, 6
Solve -3*g**2 + 276*g - 6348 = 0.
46
Suppose -w**2/7 + 470*w/7 = 0. What is w?
0, 470
Determine w, given that -2*w**4/3 - 10*w**3/3 + 2*w**2 + 34*w/3 + 20/3 = 0.
-5, -1, 2
Factor 2*w**3/7 + 2*w**2/7 - 12*w/7.
2*w*(w - 2)*(w + 3)/7
Factor 2*x**2/9 + 4*x/3 - 32/9.
2*(x - 2)*(x + 8)/9
Solve -2*c**3/3 - 158*c**2/3 - 202*c - 150 = 0.
-75, -3, -1
Suppose -4*s**5 + 44*s**4 + 60*s**3 - 124*s**2 - 232*s - 96 = 0. What is s?
-1, 2, 12
Solve 32*c**4 - 336*c**3 - 2238*c**2 + 1180*c - 150 = 0 for c.
-5, 1/4, 15
What is g in -g**2/4 + 74*g - 5476 = 0?
148
Factor -16*z**2 + 364*z + 92.
-4*(z - 23)*(4*z + 1)
Determine r so that -2*r**4 - 148*r**3 - 2586*r**2 + 5624*r - 2888 = 0.
-38, 1
Factor 3*c**4 + 60*c**3 + 378*c**2 + 972*c + 891.
3*(c + 3)**3*(c + 11)
Solve 7*d**5/8 - 5*d**4 + 9*d**3 - 23*d**2/4 + d/8 + 3/4 = 0.
-2/7, 1, 3
Find x, given that 1735*x**4 + 3490*x**3 - 1695*x**2 - 3490*x - 40 = 0.
-2, -1, -4/347, 1
Let -3*q**4 + 451*q**3 - 1041*q**2 + 741*q - 148 = 0. Calculate q.
1/3, 1, 148
Factor x**2/6 + 149*x/6 + 74/3.
(x + 1)*(x + 148)/6
Let 2*s**2/7 - 669*s/7 - 335/7 = 0. Calculate s.
-1/2, 335
Find h, given that h**2/5 + 228*h/5 + 227/5 = 0.
-227, -1
Let -3*v**5 - 27*v**4 - 42*v**3 + 6*v**2 + 45*v + 21 = 0. Calculate v.
-7, -1, 1
Factor 3*a**4 - 141*a**3 + 774*a**2 - 1500*a + 984.
3*(a - 41)*(a - 2)**3
Factor u**3/5 - 481*u**2/5 + 11616*u - 11520.
(u - 240)**2*(u - 1)/5
Factor -3*t**2 - 1734*t - 250563.
-3*(t + 289)**2
Suppose 3*d**3/7 - 30*d**2/7 - 183*d/7 + 30 = 0. Calculate d.
-5, 1, 14
Solve -4*c**3/5 - 28*c**2/5 - 44*c/5 - 4 = 0 for c.
-5, -1
Find h such that -h**3/2 - 17*h**2 