- 1)*(x + 3)**2
Factor 9*z**3/8 - 111*z**2/8 + 24*z + 45/2.
3*(z - 10)*(z - 3)*(3*z + 2)/8
Factor 4*c**3 + 2264*c**2 - 9104*c + 9120.
4*(c - 2)**2*(c + 570)
Factor -d**2/6 + 421*d - 531723/2.
-(d - 1263)**2/6
Determine r, given that 20*r**3 - 60*r**2 + 45*r - 10 = 0.
1/2, 2
Factor 15*y**4 + 130*y**3 + 320*y**2 + 160*y.
5*y*(y + 4)**2*(3*y + 2)
Find f such that 2*f**5/17 + 4*f**4/17 - 24*f**3/17 - 36*f**2/17 + 54*f/17 = 0.
-3, 0, 1, 3
Factor 4*k**4 + 24*k**3 - 60*k**2 + 32*k.
4*k*(k - 1)**2*(k + 8)
Let -2*f**2 - 128*f + 264 = 0. Calculate f.
-66, 2
Factor -5*b**3 + 149*b**2 - 116*b.
-b*(b - 29)*(5*b - 4)
What is g in g**5 + 2*g**4 - 30*g**3 + 40*g**2 + 29*g - 42 = 0?
-7, -1, 1, 2, 3
Factor -4*v**2 - 19544*v - 23872996.
-4*(v + 2443)**2
Suppose -25*i**3 - 70*i**2 - 35*i + 10 = 0. Calculate i.
-2, -1, 1/5
Let t**3 - 73*t**2 - 149*t - 75 = 0. Calculate t.
-1, 75
Find i, given that -4*i**4 + 12*i**3 + 44*i**2 - 12*i - 40 = 0.
-2, -1, 1, 5
Determine y so that -5*y**4/3 + 110*y**3/3 + 125*y**2/3 - 230*y/3 = 0.
-2, 0, 1, 23
Find z, given that z**2/3 + 47*z/3 - 68 = 0.
-51, 4
Find c, given that 3*c**3/4 - 3*c**2/4 - 63*c/4 + 135/4 = 0.
-5, 3
Let 35*l**4 - 100*l**3 - 330*l**2 - 220*l - 25 = 0. What is l?
-1, -1/7, 5
Find k such that -k**4 - 17*k**3 + 145*k**2 + 161*k = 0.
-23, -1, 0, 7
Let -3*y**2/7 - 51*y/7 + 1170/7 = 0. What is y?
-30, 13
Factor 6*d**3/19 + 22*d**2/19 - 180*d/19 + 224/19.
2*(d - 2)*(d + 8)*(3*d - 7)/19
Let -5*f**2/2 - 45*f = 0. What is f?
-18, 0
Factor 2*d**2/5 + 370*d + 3692/5.
2*(d + 2)*(d + 923)/5
Find t such that -27556*t**2 - 21912*t - 4356 = 0.
-33/83
Factor x**2 + 13*x + 36.
(x + 4)*(x + 9)
Factor -2*l**2/11 + 1036*l/11 - 134162/11.
-2*(l - 259)**2/11
Solve -3*f**5 - 6*f**4 + 39*f**3 + 114*f**2 + 72*f = 0.
-3, -2, -1, 0, 4
Find q, given that q**3/5 - 1448*q**2/5 + 525621*q/5 - 1045458/5 = 0.
2, 723
Determine z, given that 2*z**5/5 + 64*z**4/5 + 178*z**3/5 + 116*z**2/5 = 0.
-29, -2, -1, 0
Suppose 2*u**5/13 + 6*u**4/13 + 2*u**3/13 - 6*u**2/13 - 4*u/13 = 0. Calculate u.
-2, -1, 0, 1
Suppose 2*u**5/5 + 4*u**4 + 66*u**3/5 + 16*u**2 + 32*u/5 = 0. Calculate u.
-4, -1, 0
Determine n, given that -2*n**4/3 + 8*n**3/3 + 26*n**2/3 - 80*n/3 - 32 = 0.
-3, -1, 4
What is r in -r**3/4 + 6*r**2 - 153*r/4 + 65/2 = 0?
1, 10, 13
Factor -36*w**2 - 76*w + 1232.
-4*(w + 7)*(9*w - 44)
Factor -3*d**3/7 + 6*d**2/7 + 3*d/7 - 6/7.
-3*(d - 2)*(d - 1)*(d + 1)/7
Factor z**2/4 - 3*z/4 - 1.
(z - 4)*(z + 1)/4
Factor -t**2/2 - 52*t.
-t*(t + 104)/2
Factor -4*h**4 + 8*h**3 - 4*h**2.
-4*h**2*(h - 1)**2
Find u such that 507*u**5/7 + 5421*u**4/7 + 8436*u**3/7 - 19212*u**2/7 + 5232*u/7 - 384/7 = 0.
-8, -4, 2/13, 1
Solve 3*x**3 + 2250*x**2 + 562500*x + 46875000 = 0.
-250
Solve -q**2 - 750*q - 749 = 0 for q.
-749, -1
Solve 6*u**3/7 + 39*u**2/7 - 129*u/7 + 54/7 = 0 for u.
-9, 1/2, 2
Factor -u**5 + 79*u**4 - 1035*u**3 + 4925*u**2 - 8000*u.
-u*(u - 64)*(u - 5)**3
Let 3*g**4 + 21*g**3 - 3*g**2 - 21*g = 0. What is g?
-7, -1, 0, 1
Factor 2*q**2/15 - 4*q/3 - 26/5.
2*(q - 13)*(q + 3)/15
Let d**2/2 + 10*d + 50 = 0. Calculate d.
-10
Determine w so that w**4/4 + 3*w**3 - 221*w**2/4 - 3*w + 55 = 0.
-22, -1, 1, 10
Factor -5*u**3 + 605*u**2 - 1780*u + 1180.
-5*(u - 118)*(u - 2)*(u - 1)
Factor 2*x**3 - 56*x**2 - 390*x - 612.
2*(x - 34)*(x + 3)**2
Factor t**4/4 + 277*t**3/4 + 69*t**2.
t**2*(t + 1)*(t + 276)/4
Solve -h**3/3 - h**2 = 0 for h.
-3, 0
Suppose o**2/3 - 88*o/3 + 325 = 0. Calculate o.
13, 75
Solve -20*q**4 - 885*q**3 - 220*q**2 = 0 for q.
-44, -1/4, 0
Let -4*k**3/3 - 64*k**2 + 16*k/3 + 256 = 0. Calculate k.
-48, -2, 2
What is u in 21*u**5 + 265*u**4 - 717*u**3 + 495*u**2 - 4*u - 60 = 0?
-15, -2/7, 2/3, 1
Determine x so that x**3 + x**2 - 2*x = 0.
-2, 0, 1
Suppose -c**5 - c**4 + 2*c**3 + 2*c**2 - c - 1 = 0. What is c?
-1, 1
Factor 8*p**3 + 250*p**2 + 476*p + 234.
2*(p + 1)**2*(4*p + 117)
Factor -6*r**3/11 - 72*r**2 + 798*r/11.
-6*r*(r - 1)*(r + 133)/11
Suppose -g**4/2 + 5*g**3 + 39*g**2/2 + 2*g - 26 = 0. Calculate g.
-2, 1, 13
Factor 3*f**5/4 + 21*f**4/4 + 27*f**3/2 + 15*f**2 + 6*f.
3*f*(f + 1)*(f + 2)**3/4
Suppose -2*f**2 - 26*f - 72 = 0. Calculate f.
-9, -4
Solve -2*w**4/13 + 30*w**3/13 - 168*w**2/13 + 32*w - 384/13 = 0 for w.
3, 4
What is v in v**4/3 + 28*v**3 - 259*v**2/3 + 58*v = 0?
-87, 0, 1, 2
Determine m so that -2*m**2/7 + 24*m/7 - 72/7 = 0.
6
Solve -2*g**5 - 2502*g**4 - 783748*g**3 - 778748*g**2 + 783750*g + 781250 = 0.
-625, -1, 1
Suppose -10*a**4 + 44*a**3 - 26*a**2 - 56*a + 24 = 0. What is a?
-1, 2/5, 2, 3
Factor -2*r**4/5 + 638*r**3/5 - 10112*r**2 - 10240*r.
-2*r*(r - 160)**2*(r + 1)/5
Determine m, given that 5*m**2 - 8250*m + 3403125 = 0.
825
Determine g so that -5*g**2 - 50*g + 120 = 0.
-12, 2
Factor 2*s**4 + 20*s**3 - 56*s**2 - 80*s + 192.
2*(s - 2)**2*(s + 2)*(s + 12)
Factor 2*j**4/17 + 2198*j**3/17 - 4402*j**2/17 + 2202*j/17.
2*j*(j - 1)**2*(j + 1101)/17
Solve -v**5/7 - 8*v**4/7 + 68*v**3/7 + 26*v**2/7 - 179*v/7 - 130/7 = 0.
-13, -1, 2, 5
Factor y**4/3 + 89*y**3/3 - 186*y**2 + 1132*y/3 - 760/3.
(y - 2)**3*(y + 95)/3
Factor -2*z**5/11 - 56*z**4/11 + 48*z**3 - 1664*z**2/11 + 2272*z/11 - 1152/11.
-2*(z - 2)**4*(z + 36)/11
Let 4*k**3 + 296*k**2 - 1232*k + 1248 = 0. What is k?
-78, 2
Let 2*x**3/5 + 296*x**2/5 - 298*x/5 = 0. What is x?
-149, 0, 1
Factor 4*p**4 - 400*p**3 + 9592*p**2 + 20400*p + 10404.
4*(p - 51)**2*(p + 1)**2
Solve -5*w**2 + 1910*w - 182405 = 0.
191
Factor -h**4/4 - h**3/2 + h**2/4 + h/2.
-h*(h - 1)*(h + 1)*(h + 2)/4
Factor 3*y**3/4 + 39*y**2/4 + 33*y/2.
3*y*(y + 2)*(y + 11)/4
Determine d, given that -165*d**4 - 640*d**3 + 80*d**2 = 0.
-4, 0, 4/33
What is u in -3*u**3/8 + 15*u**2/4 + 54*u = 0?
-8, 0, 18
Suppose -16*m**4/3 - 4*m**3/3 + 16*m**2 - 20*m/3 - 8/3 = 0. Calculate m.
-2, -1/4, 1
Factor -5*b**3 - 235*b**2 - 2035*b + 2275.
-5*(b - 1)*(b + 13)*(b + 35)
Factor o**2/3 + 58*o + 2523.
(o + 87)**2/3
What is i in -3*i**2/7 + 57*i/7 + 1116/7 = 0?
-12, 31
Solve 2*m**3/3 + 62*m**2/3 + 106*m + 150 = 0 for m.
-25, -3
Solve -3*x**5/4 - 45*x**4/4 - 105*x**3/2 - 90*x**2 - 48*x = 0 for x.
-8, -4, -2, -1, 0
Factor -5*b**4 - 295*b**3 - 280*b**2 + 580*b.
-5*b*(b - 1)*(b + 2)*(b + 58)
Find x such that -4*x**5 + 160*x**4 + 1060*x**3 + 2000*x**2 + 1104*x = 0.
-3, -2, -1, 0, 46
What is r in -2*r**4/3 - 172*r**3/3 - 3698*r**2/3 = 0?
-43, 0
Factor 5*a**4 + 1310*a**3 + 84485*a**2 - 172920*a + 87120.
5*(a - 1)**2*(a + 132)**2
Factor -3*g**3 - 15*g**2 + 51*g + 63.
-3*(g - 3)*(g + 1)*(g + 7)
Find s such that -s**2/3 - 12*s - 35/3 = 0.
-35, -1
Determine y, given that 7*y**5 - 16*y**4 - 17*y**3 + 62*y**2 - 44*y + 8 = 0.
-2, 2/7, 1, 2
Find u such that -u**2 - 86*u = 0.
-86, 0
Factor -i**2/2 + 23*i/2 - 21.
-(i - 21)*(i - 2)/2
Factor -28*l**3 + 288*l**2 + 228*l - 88.
-4*(l - 11)*(l + 1)*(7*l - 2)
Solve -7*y**2/4 - 29*y/2 - 4 = 0 for y.
-8, -2/7
Factor v**3/6 - 259*v**2/2 + 67081*v/2 - 17373979/6.
(v - 259)**3/6
Solve n**4/3 + n**3 - 8*n**2 - 80*n/3 = 0 for n.
-4, 0, 5
Factor -14*u**2 - 158*u - 44.
-2*(u + 11)*(7*u + 2)
Suppose 5*m**3 + 360*m**2 - 365*m = 0. What is m?
-73, 0, 1
Factor -2*v**4/3 - 16264*v**3/3 - 14699040*v**2 - 39893151200*v/3 - 79610044000/3.
-2*(v + 2)*(v + 2710)**3/3
Factor -y**4 + 2720*y**3 - 1844152*y**2 - 7409280*y - 7420176.
-(y - 1362)**2*(y + 2)**2
Factor a**3/3 - 8*a**2 + 48*a.
a*(a - 12)**2/3
Determine y, given that y**4/4 - 4*y**3 - 19*y**2/4 + 17*y/2 = 0.
-2, 0, 1, 17
Factor -3*r**2/8 + 267*r/8 + 3465/4.
-3*(r - 110)*(r + 21)/8
Factor -2*w**4/5 - 2*w**3/5 + 32*w**2/5 + 32*w/5.
-2*w*(w - 4)*(w + 1)*(w + 4)/5
Factor 2*c**4/3 - 4*c**3/3 - 2*c**2.
2*c**2*(c - 3)*(c + 1)/3
Suppose 5*a**5 + 15*a**4 - 15*a**3 - 35*a**2 + 30*a = 0. Calculate a.
-3, -2, 0, 1
Find o, given that -1862*o**5 + 8540*o**4 + 15038*o**3 + 4564*o**2 - 216*o - 144 = 0.
-1, -2/7, 3/19, 6
Factor -4*d**4 - 12*d**3 - 9*d**2 - 2*d.
-d*(d + 2)*(2*d + 1)**2
Let -2*l**5 - 12*l**4 + 94*l**3 - 168*l**2 + 88*l = 0. Calculate l.
-11, 0, 1, 2
Solve -x**5 + 208*x**4/5 - 1908*x**3/5 - 17714*x**2/5 + 256921*x/5 - 29478 = 0 for x.
-10, 3/5, 17
Solve -2*j**4 - 10*j**3 + 4*j**2 + 48*j = 0.
-4, -3, 0, 2
Determine j, given that -10*j**3 - 545*j**2 + 280*j + 275 = 0.
-55, -1/2, 1
Factor 4*q**2/3 - 82*q + 122/3.
2*(q - 61)*(2*q - 1)/3
Let -a**4/3 - 4*a**3 + 18*a**2 + 324*a + 729 = 0. What is a?
-9, -3