, 1, 2
Let 6*x**4/13 - 10*x**3/13 - 2*x**2/13 + 10*x/13 - 4/13 = 0. Calculate x.
-1, 2/3, 1
Factor 2304*u**2 + 3264*u + 1156.
4*(24*u + 17)**2
Determine r so that -6*r**3 - 100*r**2 + 728*r + 528 = 0.
-22, -2/3, 6
Factor 3*o**3/7 - 57*o**2 - 402*o/7.
3*o*(o - 134)*(o + 1)/7
Factor 3*q**4/4 - 2*q**3 + 7*q**2/4 - q/2.
q*(q - 1)**2*(3*q - 2)/4
Determine i so that -5*i**2 - 200*i - 2000 = 0.
-20
Solve 3*j**4 + 144*j**3 + 1728*j**2 = 0.
-24, 0
Let -6*s**5 + 268*s**4/7 - 410*s**3/7 + 152*s/7 + 32/7 = 0. What is s?
-1/3, -2/7, 1, 2, 4
Factor -2*a**3/3 - 56*a**2/3 - 238*a/3 - 184/3.
-2*(a + 1)*(a + 4)*(a + 23)/3
Find w, given that -4*w**4 - 48*w**3 - 120*w**2 - 112*w - 36 = 0.
-9, -1
Factor -4*c**4 - 264*c**3 + 272*c**2 + 264*c - 268.
-4*(c - 1)**2*(c + 1)*(c + 67)
Factor 2*y**3 - 24*y**2 + 96*y - 128.
2*(y - 4)**3
Let -3*o**2 - 18*o/5 + 24/5 = 0. Calculate o.
-2, 4/5
Find x, given that 5*x**2 + 170*x + 1445 = 0.
-17
Let 3*o**5 - 6010*o**4/3 + 1008662*o**3/3 - 1777552*o**2/3 + 184371*o + 73926 = 0. What is o?
-2/9, 1, 333
Factor -b**4/6 - 3*b**3 - 40*b**2/3 + 3*b + 27/2.
-(b - 1)*(b + 1)*(b + 9)**2/6
Factor p**3 + 63*p**2 - p - 63.
(p - 1)*(p + 1)*(p + 63)
Factor 2*f**5/5 + 176*f**4/5 - 724*f**3/5 + 1096*f**2/5 - 734*f/5 + 184/5.
2*(f - 1)**4*(f + 92)/5
Find g, given that -g**4/3 - 358*g**3/3 + 969*g**2 - 2556*g + 2196 = 0.
-366, 2, 3
Factor 2*c**4/9 - 160*c**3/9.
2*c**3*(c - 80)/9
Solve q**2/2 + 110*q = 0 for q.
-220, 0
Factor 4*v**4 + 132*v**3 + 1268*v**2 + 2412*v - 11016.
4*(v - 2)*(v + 9)**2*(v + 17)
Suppose -4*a**2/9 + 100 = 0. What is a?
-15, 15
Factor -q**3 - 15*q**2/2 + 13*q - 9/2.
-(q - 1)*(q + 9)*(2*q - 1)/2
Suppose m**4/4 - 9*m**3/8 + m**2/8 + 21*m/8 + 9/8 = 0. What is m?
-1, -1/2, 3
Factor h**2/3 + 4078*h/3 + 4157521/3.
(h + 2039)**2/3
Solve c**5/3 - 26*c**4/3 - 29*c**3/3 + 18*c**2 = 0 for c.
-2, 0, 1, 27
Suppose 2*m**4/5 - 198*m**3/5 + 5694*m**2/5 - 65234*m/5 + 52728 = 0. Calculate m.
13, 60
Factor -i**4/8 + 55*i**3/4.
-i**3*(i - 110)/8
Solve 3*y**2/4 - 15*y/4 + 9/2 = 0.
2, 3
Solve 4*n**4 + 72*n**3 - 300*n**2 - 6832*n + 7056 = 0 for n.
-14, 1, 9
Find h, given that -36*h**4 - 1880*h**3 - 4016*h**2 - 800*h = 0.
-50, -2, -2/9, 0
Factor -243*g**3 + 297*g**2 - 57*g + 3.
-3*(g - 1)*(9*g - 1)**2
Find z such that -2*z**3/5 - 106*z**2/5 - 104*z/5 = 0.
-52, -1, 0
Let 50*h**3 - 15*h**2 - 155*h - 30 = 0. Calculate h.
-3/2, -1/5, 2
Find x, given that 3*x**3/5 + 783*x**2/5 - 315*x + 789/5 = 0.
-263, 1
Suppose 5*y**3 - 20*y**2 - 75*y + 90 = 0. Calculate y.
-3, 1, 6
Determine a, given that -4*a**2 + 104*a + 224 = 0.
-2, 28
Find d, given that -d**3 - 438*d**2 - 63948*d - 3112136 = 0.
-146
Let 3*g**2/5 - 108*g/5 - 111/5 = 0. Calculate g.
-1, 37
Factor r**3/5 + 58*r**2 - 583*r/5 + 292/5.
(r - 1)**2*(r + 292)/5
Factor 3*s**2/4 + 21*s/4 - 195.
3*(s - 13)*(s + 20)/4
Factor -3*x**3 + 57*x**2 + 123*x + 63.
-3*(x - 21)*(x + 1)**2
Determine s, given that -2*s**2/5 - 10428*s/5 - 13592898/5 = 0.
-2607
Factor -y**3/5 - 3*y**2/5 + y/5 + 3/5.
-(y - 1)*(y + 1)*(y + 3)/5
Factor -3*a**3/7 - 99*a**2/7 - 648*a/7 - 1200/7.
-3*(a + 4)**2*(a + 25)/7
Find c such that -3*c**5/5 + 12*c**4/5 + 24*c**3/5 - 42*c**2/5 - 21*c/5 + 6 = 0.
-2, -1, 1, 5
Let 2*z**4/5 - 4*z**3/5 - 624*z**2/5 + 4672*z/5 - 1792 = 0. What is z?
-20, 4, 14
Solve -27*y**2 - 6516*y - 393132 = 0 for y.
-362/3
Solve -2*l**3 - 146*l**2 - 424*l - 280 = 0.
-70, -2, -1
Factor -28*p**2 + 3256*p - 928.
-4*(p - 116)*(7*p - 2)
Solve -u**3/3 + 13*u - 70/3 = 0 for u.
-7, 2, 5
Factor 5*p**2 - 1400*p.
5*p*(p - 280)
Solve 3*j**5 + 12*j**4 - 204*j**3 - 222*j**2 + 201*j + 210 = 0.
-10, -1, 1, 7
Factor -267*q**2 + 291*q - 24.
-3*(q - 1)*(89*q - 8)
What is y in 2*y**2/7 + 30*y/7 - 68/7 = 0?
-17, 2
Factor 27*j**2/7 - 24*j - 1104/7.
3*(j + 4)*(9*j - 92)/7
Factor 4*n**5 + 28*n**4 - 4*n**3 - 28*n**2.
4*n**2*(n - 1)*(n + 1)*(n + 7)
Suppose 5*h**4 - 25*h**3 - 305*h**2 - 275*h = 0. Calculate h.
-5, -1, 0, 11
Find d such that -4*d**3/3 - 12*d**2 + 16*d + 80/3 = 0.
-10, -1, 2
Factor -4*i**3 - 1040*i**2 - 66548*i + 137288.
-4*(i - 2)*(i + 131)**2
Factor -140*x**3 + 1945*x**2 + 2310*x + 225.
-5*(x - 15)*(x + 1)*(28*x + 3)
Find z such that z**2 + 494*z + 61009 = 0.
-247
Let -4*f**3 - 813*f**2 + 612*f = 0. What is f?
-204, 0, 3/4
Let -16*c**5/15 - 328*c**4/15 + 5636*c**3/15 - 7942*c**2/15 + 3884*c/15 - 128/3 = 0. Calculate c.
-32, 1/2, 10
Determine g, given that -2*g**2/21 - 856*g/21 = 0.
-428, 0
Suppose -4*q**3 - 72*q**2 - 44*q + 408 = 0. What is q?
-17, -3, 2
Suppose -2*v**2 + 150*v + 468 = 0. What is v?
-3, 78
What is v in -4*v**4 + 54*v**3 + 234*v**2 + 74*v - 102 = 0?
-3, -1, 1/2, 17
Determine s so that 136*s**3 - 4*s**2 = 0.
0, 1/34
Factor n**4/10 - n**3/2 + 3*n**2/10 + 9*n/10.
n*(n - 3)**2*(n + 1)/10
Factor -3*c**4 - 12*c**3 + 63*c**2.
-3*c**2*(c - 3)*(c + 7)
Find d such that -d**3/3 + 2*d**2 - 5*d/3 = 0.
0, 1, 5
Find g such that -g**5/8 - 27*g**4/8 + 57*g**3/8 - 29*g**2/8 = 0.
-29, 0, 1
Factor -2*n**3/19 + 194*n**2/19 + 1218*n/19 + 1854/19.
-2*(n - 103)*(n + 3)**2/19
Determine v so that -32*v**4/17 + 22992*v**3/17 + 34542*v**2/17 + 12958*v/17 + 1440/17 = 0.
-1, -1/4, 720
Factor 5*r**3 - 1890*r**2 + 176700*r + 361000.
5*(r - 190)**2*(r + 2)
Let -x**3/6 + 53*x**2/6 + 109*x/6 + 55/6 = 0. What is x?
-1, 55
Factor 2*a**2/7 + 11484*a/7 + 16485282/7.
2*(a + 2871)**2/7
Solve y**2 - 1104*y + 304704 = 0 for y.
552
Factor -q**2/2 - q/2 + 3.
-(q - 2)*(q + 3)/2
Factor -4*k**2 + 12*k + 16.
-4*(k - 4)*(k + 1)
Solve -p**5/7 + 10*p**4/7 + 2*p**3 - 32*p**2/7 - 13*p/7 + 22/7 = 0.
-2, -1, 1, 11
What is b in -2*b**5 - 40*b**4 + 182*b**3 - 236*b**2 + 96*b = 0?
-24, 0, 1, 2
Find w such that -w**2/3 + 3790*w - 10773075 = 0.
5685
What is h in 5*h**2 - 38510*h + 74151005 = 0?
3851
Suppose -d**3/5 + 6*d**2/5 + 19*d/5 - 24/5 = 0. Calculate d.
-3, 1, 8
What is i in 3*i**2 + 21*i - 234 = 0?
-13, 6
Solve -21*l**5 - 716*l**4 - 5360*l**3 + 13104*l**2 + 1296*l = 0 for l.
-18, -2/21, 0, 2
Let -2*k**3 + 54*k**2 + 114*k + 58 = 0. What is k?
-1, 29
Factor 5*j**3 + 25*j**2 + 10*j - 40.
5*(j - 1)*(j + 2)*(j + 4)
Determine o, given that -o**5/11 - o**4/11 + 5*o**3/11 + o**2/11 - 8*o/11 + 4/11 = 0.
-2, 1
Factor k**4/4 - 105*k**3/4 + 702*k**2 - 676*k.
k*(k - 52)**2*(k - 1)/4
Determine s, given that 2*s**5 - 48*s**4 + 296*s**3 - 672*s**2 + 512*s = 0.
0, 2, 4, 16
Find h, given that -3*h**4/4 + 3*h**3/2 + 6*h**2 - 27*h/2 + 27/4 = 0.
-3, 1, 3
Factor 4*o**2/5 + 7*o + 66/5.
(o + 6)*(4*o + 11)/5
What is z in z**2/5 + 527*z/5 = 0?
-527, 0
Find r such that -2*r**4/11 + 34*r**3/11 - 200*r**2/11 + 456*r/11 - 288/11 = 0.
1, 4, 6
Factor -2*n**2/5 + 286*n/5 + 288/5.
-2*(n - 144)*(n + 1)/5
Factor 4*w**2 - 10216*w + 6522916.
4*(w - 1277)**2
Let 2*s**3 - 22*s**2 + 36*s = 0. Calculate s.
0, 2, 9
Determine k so that -5*k**5/7 + 73*k**4/7 - 355*k**3/7 + 671*k**2/7 - 300*k/7 - 36 = 0.
-2/5, 2, 3, 7
Solve -c**5/7 + 83*c**4/7 - 624*c**3/7 + 1832*c**2/7 - 2416*c/7 + 1200/7 = 0 for c.
2, 75
What is c in c**5/6 + 11*c**4/6 + 11*c**3/2 + 13*c**2/6 - 17*c/3 - 4 = 0?
-6, -4, -1, 1
Suppose 3*w**2 - 177*w + 342 = 0. Calculate w.
2, 57
Solve 3*o**3 + 117*o**2 - 378*o = 0.
-42, 0, 3
Find z such that z**3 + 13*z**2 + 12*z = 0.
-12, -1, 0
Find k such that 5*k**3 - 160*k**2 - 165*k = 0.
-1, 0, 33
Determine q so that -5*q**4 - 35*q**3 - 30*q**2 = 0.
-6, -1, 0
What is y in -60*y**5 + 8*y**4 = 0?
0, 2/15
Solve -g**4/4 + 13*g**3/4 + 23*g**2/2 + 8*g = 0 for g.
-2, -1, 0, 16
Factor 2*n**2/9 - 122*n/3 + 364/9.
2*(n - 182)*(n - 1)/9
Factor 5*m**3 + 30*m**2 + 15*m - 50.
5*(m - 1)*(m + 2)*(m + 5)
Solve 2*o**3/5 - 18*o**2/5 + 48*o/5 - 32/5 = 0.
1, 4
Factor v**2 - 81*v + 518.
(v - 74)*(v - 7)
What is o in -12*o**5 + 80*o**4 - 140*o**3 + 40*o**2 + 32*o = 0?
-1/3, 0, 1, 2, 4
Factor 5*t**2 + 1480*t.
5*t*(t + 296)
Suppose -o**3/4 + 11*o**2/4 = 0. What is o?
0, 11
Factor -o**3/2 + 6*o**2 - 11*o/2.
-o*(o - 11)*(o - 1)/2
Factor 5*q**2 - 160*q + 155.
5*(q - 31)*(q - 1)
Find b such that -2*b**3 + 64*b**2 + 658*b - 720 = 0.
-9, 1, 40
Suppose -5*p**4 - 115*p**3 - 310*p**2 - 200*p = 0. What is p?
-20, -2, -1, 0
Factor -5*a**2 - 58870*a - 173283845.
-5*(a + 5887)**2
Factor -4*y**3/3 - 92*y**2 + 16*y/3 + 368.
-4*(y - 2)*(y + 2)*(y + 69)/3
Determine t so that t**2/6 - 26*t/3 + 17/2 = 0.
1, 51
Factor -m**3/5 + 3*m/5 + 2/5.
-(m - 2)*(m + 