 1403*w/3 - 2/3.
-(w - 1)*(1401*w - 2)/3
Suppose 2*m**2/5 - 12624*m/5 + 19920672/5 = 0. What is m?
3156
Factor 4*s**3 - 32*s**2 + 52*s - 24.
4*(s - 6)*(s - 1)**2
Determine j, given that -j**3/5 + 6*j**2/5 + 27*j/5 = 0.
-3, 0, 9
Find v, given that -116*v**2/3 + 346*v/3 + 2 = 0.
-1/58, 3
Factor 3*w**5/2 + 15*w**4/2 - 15*w**3/2 - 75*w**2/2 + 60*w - 24.
3*(w - 1)**3*(w + 4)**2/2
Let 4*t**5/9 + 244*t**4/9 - 256*t**3/9 - 496*t**2/9 = 0. What is t?
-62, -1, 0, 2
Factor -j**4/3 - 7*j**3/3 - 16*j**2/3 - 4*j.
-j*(j + 2)**2*(j + 3)/3
Determine y, given that -2*y**2 - 48*y - 270 = 0.
-15, -9
Let 225*f**5 - 3795*f**4 + 13666*f**3 + 20098*f**2 + 2493*f + 81 = 0. What is f?
-1, -1/15, 9
Factor -5*y**2 - 465*y - 460.
-5*(y + 1)*(y + 92)
Factor 540*c**4 - 111*c**3 - 6*c**2.
3*c**2*(4*c - 1)*(45*c + 2)
Factor -4*m**2/7 + 32*m/7 + 192/7.
-4*(m - 12)*(m + 4)/7
Suppose 4*o**5/5 - 145*o**4 - 2019*o**3/5 - 922*o**2/5 + 368*o/5 = 0. Calculate o.
-2, -1, 0, 1/4, 184
Determine h, given that -2*h**3/11 + 1164*h**2/11 - 169362*h/11 = 0.
0, 291
Factor -33*r**3 - 303*r**2 - 714*r - 120.
-3*(r + 4)*(r + 5)*(11*r + 2)
Factor -3*l**3 + 5*l**2 - 2*l.
-l*(l - 1)*(3*l - 2)
Factor -36*h**5/7 + 1056*h**4/7 - 8833*h**3/7 + 3993*h**2/7 + 131769*h/7 + 161051/7.
-(h - 11)**3*(6*h + 11)**2/7
Let a**5/3 + 38*a**4/3 + 505*a**3/3 + 876*a**2 + 1296*a + 576 = 0. What is a?
-12, -1
Factor 2*k**3/5 + 218*k**2/5 + 128*k + 424/5.
2*(k + 1)*(k + 2)*(k + 106)/5
Suppose 3*v**2/2 + 114*v + 2166 = 0. Calculate v.
-38
Factor d**2/5 - 63*d + 626/5.
(d - 313)*(d - 2)/5
Suppose 6*n**5 - 22*n**4/3 - 28*n**3/3 + 12*n**2 + 10*n/3 - 14/3 = 0. What is n?
-1, -7/9, 1
Let -18*p**4 - 202*p**3 + 424*p**2 + 104*p = 0. Calculate p.
-13, -2/9, 0, 2
Factor -65*i**2 - 70*i - 5.
-5*(i + 1)*(13*i + 1)
Solve -2*g**2/7 - 30*g/7 - 16 = 0 for g.
-8, -7
Let -2*g**4/17 + 216*g**3/17 - 6044*g**2/17 + 11448*g/17 - 5618/17 = 0. Calculate g.
1, 53
Factor -3*k**3/2 - 2661*k**2/2 - 297024*k - 879138.
-3*(k + 3)*(k + 442)**2/2
Factor -m**3/11 + 29*m**2/11 - 80*m/11 + 52/11.
-(m - 26)*(m - 2)*(m - 1)/11
Let 4*i**2/3 + 360*i - 1084/3 = 0. Calculate i.
-271, 1
Factor -z**4/2 - 34*z**3 + 285*z**2/2 - 108*z.
-z*(z - 3)*(z - 1)*(z + 72)/2
Let 14*r**2/3 + 956*r/3 + 272/3 = 0. Calculate r.
-68, -2/7
Solve 3*h**2/7 - 18*h - 840 = 0.
-28, 70
Determine l, given that 3*l**4 - 27*l**3 + 69*l**2 - 45*l = 0.
0, 1, 3, 5
Solve -t**4/5 + 11*t**3/5 + t**2/5 - 11*t/5 = 0.
-1, 0, 1, 11
Solve x**5/3 + 33*x**4 + 1046*x**3 + 33662*x**2/3 + 33087*x - 45387 = 0.
-41, -9, 1
Factor -2*u**3/13 - 34*u**2/13 - 32*u/13.
-2*u*(u + 1)*(u + 16)/13
Factor l**2/8 - 71*l - 569/8.
(l - 569)*(l + 1)/8
Factor -5*p**3 + 640*p**2 - 20480*p.
-5*p*(p - 64)**2
Factor 8*k**4/9 + 104*k**3/9 + 386*k**2/9 + 104*k/3 + 8.
2*(k + 6)**2*(2*k + 1)**2/9
Determine z, given that 2*z**3 - 9462*z**2 + 14921574*z - 7843774066 = 0.
1577
Solve -3*m**4 - 9*m**3 + 27*m**2 - 15*m = 0 for m.
-5, 0, 1
Find k such that -4*k**3 + 596*k**2 - 1180*k + 588 = 0.
1, 147
Determine d, given that -3*d**4 + 31*d**3 - 31*d**2 - 47*d + 18 = 0.
-1, 1/3, 2, 9
Factor -g**4/4 - 3*g**3/2 - 2*g**2.
-g**2*(g + 2)*(g + 4)/4
What is f in 2*f**2/15 + 6*f - 392/15 = 0?
-49, 4
Let -f**5/2 + f**4/2 + 3*f**3/2 - f**2/2 - f = 0. Calculate f.
-1, 0, 1, 2
Suppose 2*c**4 - 278*c**3 + 12972*c**2 - 207368*c + 194672 = 0. Calculate c.
1, 46
Let -m**5/6 + 29*m**4 - 2773*m**3/6 - 69542*m**2 - 2875202*m/3 = 0. What is m?
-22, 0, 109
Factor -2*w**2/17 - 6*w.
-2*w*(w + 51)/17
Let -h**4 - 71*h**3 - 69*h**2 + 71*h + 70 = 0. What is h?
-70, -1, 1
Let -r**4 - r**3 + 13*r**2 + r - 12 = 0. What is r?
-4, -1, 1, 3
Find m such that -136806*m**4/17 + 237070*m**3/17 - 6262*m**2 + 370*m - 100/17 = 0.
5/151, 2/3, 1
Let -5*o**2/4 + 1485*o/2 - 2965/4 = 0. What is o?
1, 593
What is x in 2*x**3/11 - 94*x**2/11 - 296*x/11 - 200/11 = 0?
-2, -1, 50
Let -6*r**3/13 + 308*r**2/13 - 150*r + 616/13 = 0. Calculate r.
1/3, 7, 44
Determine f so that 106*f**4/7 + 216*f**3/7 - 416*f**2/7 - 864*f/7 - 32/7 = 0.
-2, -2/53, 2
Factor 2*m**5/7 - 502*m**4 + 2060372*m**3/7 - 404513460*m**2/7 + 802859850*m/7 - 400403250/7.
2*(m - 585)**3*(m - 1)**2/7
Solve 2*m**3 - 130*m**2 + 128*m = 0.
0, 1, 64
Determine d, given that -d**4/2 + 3*d**3/2 + 9*d**2/2 + 5*d/2 = 0.
-1, 0, 5
Solve -5*z**4 - 130*z**3 - 660*z**2 - 1240*z - 800 = 0.
-20, -2
Factor 5*w**3 - 1215*w + 7290.
5*(w - 9)**2*(w + 18)
Factor 3*f**3 - 37*f**2 + 295*f/3 - 75.
(f - 9)*(3*f - 5)**2/3
Factor -m**3 - 27*m**2.
-m**2*(m + 27)
Find v, given that -3*v**3/2 - 41*v**2/2 - 46*v - 22 = 0.
-11, -2, -2/3
Factor -j**3/2 + 17*j**2/2 + 29*j + 20.
-(j - 20)*(j + 1)*(j + 2)/2
Find b such that -b**5/4 - 155*b**4/4 + 157*b**3/2 - b**2/2 - 313*b/4 + 157/4 = 0.
-157, -1, 1
Find d such that 2*d**3 + 260*d**2 = 0.
-130, 0
Let -2*o**5 - 42*o**4 - 196*o**3 + 284*o**2 + 198*o - 242 = 0. What is o?
-11, -1, 1
Suppose -z**5/9 - 38*z**4/9 - 73*z**3/9 - 4*z**2 = 0. What is z?
-36, -1, 0
Let -4*p**4 + 32*p**3 - 28*p**2 = 0. What is p?
0, 1, 7
Determine g, given that -5*g**5/4 - 25*g**4 + 165*g**3/2 - 85*g**2 + 115*g/4 = 0.
-23, 0, 1
Determine m, given that m**4/2 - 11*m**3/2 + 35*m**2/2 - 25*m/2 = 0.
0, 1, 5
Suppose j**2/2 + 2*j = 0. What is j?
-4, 0
Factor 2*o**2/9 + 20*o/9 - 112/9.
2*(o - 4)*(o + 14)/9
Let -2*z**3 + 1522*z**2/5 - 304*z/5 = 0. What is z?
0, 1/5, 152
Find g such that g**4/2 - 11*g**3/2 - 65*g**2/2 + 75*g/2 = 0.
-5, 0, 1, 15
Factor -c**3/5 - 56*c**2/5 - 512*c/5 + 8192/5.
-(c - 8)*(c + 32)**2/5
Factor 25*q**4 - 115*q**3 + 101*q**2 + 55*q + 6.
(q - 3)*(q - 2)*(5*q + 1)**2
Solve q**4 + 50*q**3 + 48*q**2 - 50*q - 49 = 0 for q.
-49, -1, 1
Factor i**4 - 3*i**2 - 2*i.
i*(i - 2)*(i + 1)**2
Factor 58*w**5 - 120*w**4 + 66*w**3 - 4*w**2.
2*w**2*(w - 1)**2*(29*w - 2)
Determine b so that b**5/3 + 4*b**4/3 - b**3 - 10*b**2/3 + 8*b/3 = 0.
-4, -2, 0, 1
Solve -i**5/5 + 211*i**4/5 + 2*i**3/5 - 422*i**2/5 - i/5 + 211/5 = 0.
-1, 1, 211
Factor -l**2/8 + 3*l/4 - 9/8.
-(l - 3)**2/8
Factor 3*j**3/4 + 77*j**2/2 + 49*j/4 - 51/2.
(j + 1)*(j + 51)*(3*j - 2)/4
Suppose -5*q**2 + 28670*q - 41098445 = 0. What is q?
2867
Factor -2*w**3/13 + 40*w**2/13 - 136*w/13 + 128/13.
-2*(w - 16)*(w - 2)**2/13
Suppose b**3 - 80*b**2 + 157*b - 78 = 0. What is b?
1, 78
Factor -3*s**2/5 + 36*s/5 - 21.
-3*(s - 7)*(s - 5)/5
Factor 2*j**2/3 - 4*j + 16/3.
2*(j - 4)*(j - 2)/3
Let 384*h**3 + 15*h**2/2 - 384*h - 15/2 = 0. What is h?
-1, -5/256, 1
Solve -2*p**5 + 1242*p**4 - 193440*p**3 + 192200*p**2 = 0.
0, 1, 310
Let y**4/2 + y**3/2 - 15*y**2 - 36*y = 0. What is y?
-4, -3, 0, 6
Solve 4*o**2 - 668*o + 664 = 0 for o.
1, 166
Factor 27*i**3/4 + 45*i**2/4 + 21*i/4 + 3/4.
3*(i + 1)*(3*i + 1)**2/4
Let 4*m**5/7 + 8*m**4/7 - 20*m**3/7 - 40*m**2/7 + 16*m/7 + 32/7 = 0. Calculate m.
-2, -1, 1, 2
Determine p, given that -p**2 - 784*p - 153664 = 0.
-392
Determine r, given that 4*r**4/3 + 644*r**3/3 + 1276*r**2/3 + 212*r = 0.
-159, -1, 0
Factor -3*u**4/7 + 15*u**3/7 - 27*u**2/7 + 3*u - 6/7.
-3*(u - 2)*(u - 1)**3/7
What is i in 5*i**4 - 15*i**3 - 115*i**2 + 375*i - 250 = 0?
-5, 1, 2, 5
Suppose -2*p**4 - 146*p**3 - 426*p**2 - 422*p - 140 = 0. What is p?
-70, -1
What is c in -2*c**3/15 - 4*c**2/5 + 246*c/5 + 748/15 = 0?
-22, -1, 17
Let 9*r**3 - 15*r**2 - 12*r + 12 = 0. What is r?
-1, 2/3, 2
Determine i, given that 2*i**4 - 4*i**3 - 8*i**2 + 16*i = 0.
-2, 0, 2
Suppose 2*n**5/3 + 46*n**4/3 - 18*n**3 - 142*n**2/3 + 52*n/3 + 32 = 0. Calculate n.
-24, -1, 1, 2
Suppose -3*f**5/5 + 1251*f**4/5 - 133512*f**3/5 + 129288*f**2 - 1023408*f/5 + 509232/5 = 0. What is f?
1, 2, 206
Suppose 2*a**2/17 + 126*a/17 - 2916/17 = 0. What is a?
-81, 18
Factor -2*y**3/7 + 1816*y**2/7 - 412232*y/7.
-2*y*(y - 454)**2/7
Factor -w**3/2 - 123*w**2 - 10086*w - 275684.
-(w + 82)**3/2
Suppose 2*c**2/11 + 94*c/11 + 92/11 = 0. Calculate c.
-46, -1
Factor -b**3 - 1702*b**2 + b + 1702.
-(b - 1)*(b + 1)*(b + 1702)
Factor 49*t**4/3 + 154*t**3/3 - 4*t**2 - 30*t + 9.
(t + 1)*(t + 3)*(7*t - 3)**2/3
Determine k so that -7*k**3 - 99*k**2 - 357*k - 49 = 0.
-7, -1/7
Factor 3*x**2/4 + 33*x/2 + 30.
3*(x + 2)*(x + 20)/4
Solve -2*r**5 - 4*r**4 + 10*r**3 + 12*r**2 = 0 for r.
-3, -1, 0, 2
What is m in 6*m**4 - 51*m**3 - 39*m**2 + 99*m + 81 = 0?
-1, 3/2, 9
Determine f, given that -2*f**2/7 + 222*f/7 + 684/7 = 0.
-3, 114
What is s in 2*s**3 + 302