-1, 1
Let 5*r**3 + 655*r**2 - 20*r - 2620 = 0. Calculate r.
-131, -2, 2
Factor 2*r**2/3 + 188*r/3 + 4418/3.
2*(r + 47)**2/3
Factor 2*w**2 + 188*w + 3968.
2*(w + 32)*(w + 62)
Factor -w**3/2 + 5*w**2/2 + 4*w - 24.
-(w - 4)**2*(w + 3)/2
Factor 5*w**4/6 - 670*w**3/3 + 29475*w**2/2 + 30375*w.
5*w*(w - 135)**2*(w + 2)/6
Find a such that -2*a**2/11 - 42*a/11 + 4 = 0.
-22, 1
Let -w**2/6 - 7*w/3 - 13/6 = 0. What is w?
-13, -1
Find z such that 10*z**4/3 + 2*z**3/3 = 0.
-1/5, 0
Factor -y**3 + 386*y**2 + 776*y.
-y*(y - 388)*(y + 2)
Factor 2*r**5/3 - 14*r**4/3 + 22*r**3/3 - 10*r**2/3.
2*r**2*(r - 5)*(r - 1)**2/3
What is n in -n**4/2 + 4*n**3 - 5*n**2/2 - 25*n = 0?
-2, 0, 5
Factor 4*h**2 - 100*h - 216.
4*(h - 27)*(h + 2)
Factor -n**5/8 - 13*n**4/4 + 57*n**3/4 - 22*n**2 + 119*n/8 - 15/4.
-(n - 1)**4*(n + 30)/8
Factor o**4/4 + 9*o**3/2 + 15*o**2 - 89*o/2 + 99/4.
(o - 1)**2*(o + 9)*(o + 11)/4
What is j in 5*j**5 - 85*j**4 + 255*j**3 + 85*j**2 - 260*j = 0?
-1, 0, 1, 4, 13
Let 35*g**3 - 156*g**2 - 593*g - 210 = 0. Calculate g.
-15/7, -2/5, 7
Factor h**5 + 81*h**4 + 2013*h**3 + 14735*h**2 + 22050*h.
h*(h + 2)*(h + 9)*(h + 35)**2
Let 2*h**5/9 - 22*h**4/9 + 62*h**3/9 - 34*h**2/9 - 64*h/9 + 56/9 = 0. What is h?
-1, 1, 2, 7
Factor 14*q**2/15 + 134*q/15 - 176/5.
2*(q - 3)*(7*q + 88)/15
Solve -3*l**3 - 489*l**2 + 6906*l + 7392 = 0.
-176, -1, 14
Suppose 7*t**5/2 - 33*t**4/2 - 31*t**3/2 + 113*t**2/2 - 18*t - 10 = 0. Calculate t.
-2, -2/7, 1, 5
Let 2*o**3 + 48*o**2 + 234*o - 676 = 0. What is o?
-13, 2
Let -o**2 + 4994*o - 6235009 = 0. What is o?
2497
Factor 3*g**2 + 30*g - 693.
3*(g - 11)*(g + 21)
Determine h, given that 2*h**2 - 166*h = 0.
0, 83
Find g such that 2*g**2/9 - 8*g/9 = 0.
0, 4
Let 2*y**2/5 + 56*y - 290 = 0. Calculate y.
-145, 5
Factor 2*y**3 + 28*y**2 - 2*y - 28.
2*(y - 1)*(y + 1)*(y + 14)
Suppose -s**3/3 - 4*s**2/3 + 13*s - 18 = 0. Calculate s.
-9, 2, 3
Determine z, given that 22*z**2/13 - 10*z/13 - 12/13 = 0.
-6/11, 1
Let -4*r**5 - 12*r**4 - 4*r**3 + 12*r**2 + 8*r = 0. What is r?
-2, -1, 0, 1
Solve -75*z**2 + 685*z - 90 = 0.
2/15, 9
Factor -182*f**2 + 362*f - 48.
-2*(7*f - 1)*(13*f - 24)
Find w, given that -w**5/4 + 4*w**4 + 163*w**3/4 - 1031*w**2/2 - 2760*w + 7200 = 0.
-8, 2, 15
Find v such that -3*v**4/5 + 219*v**3/5 + 90*v**2 = 0.
-2, 0, 75
Factor -4*l**3 - 184*l**2 + 188*l.
-4*l*(l - 1)*(l + 47)
Suppose 4*y**3 + 256*y**2 + 244*y - 504 = 0. What is y?
-63, -2, 1
Factor -z**2/3 - 4394*z/3 - 4826809/3.
-(z + 2197)**2/3
Factor 3*h**4 - 18*h**3 - 9*h**2 + 60*h - 36.
3*(h - 6)*(h - 1)**2*(h + 2)
Find k such that -3*k**2/2 + 15786*k - 41532966 = 0.
5262
Suppose -5*m**2 + 16350*m - 13366125 = 0. What is m?
1635
Factor 2*d**3 - 32*d**2 - 110*d - 76.
2*(d - 19)*(d + 1)*(d + 2)
Factor -5*s**4/3 - 260*s**3/3 + 535*s**2/3 - 90*s.
-5*s*(s - 1)**2*(s + 54)/3
Let f**4/2 + 43*f**3 - f**2/2 - 43*f = 0. Calculate f.
-86, -1, 0, 1
Find d such that -5*d**3 - 210*d**2 - 405*d - 200 = 0.
-40, -1
Determine o so that -2*o**3/3 + 14*o**2 + 140*o/3 + 32 = 0.
-2, -1, 24
Determine j, given that 3*j**2/5 - 33*j = 0.
0, 55
Factor 4*v**2 + 1324*v - 5360.
4*(v - 4)*(v + 335)
Solve -4*t**2 - 572*t + 2352 = 0.
-147, 4
Factor 2*w**3/7 - 554*w**2/7 - 8*w/7 + 2216/7.
2*(w - 277)*(w - 2)*(w + 2)/7
Factor -5*m**3 + 5*m**2 + 40*m - 60.
-5*(m - 2)**2*(m + 3)
Factor m**2/2 - 195*m/4 + 97/4.
(m - 97)*(2*m - 1)/4
Factor -3*q**3/5 + 4*q**2/5 + q - 2/5.
-(q - 2)*(q + 1)*(3*q - 1)/5
Find n such that 13*n**2/6 + 23*n/6 - 1 = 0.
-2, 3/13
Factor 2*y**5 - 8*y**4 + 10*y**3 - 4*y**2.
2*y**2*(y - 2)*(y - 1)**2
Let o**2/2 - 92*o - 185/2 = 0. What is o?
-1, 185
Solve 32*k**3/13 - 1776*k**2/13 + 882*k/13 - 110/13 = 0.
1/4, 55
Factor y**5 - 22*y**4.
y**4*(y - 22)
Factor -1161*i**3/5 + 2787*i**2 - 41832*i/5 + 108/5.
-3*(i - 6)**2*(387*i - 1)/5
Factor 2*p**4 - 256*p**3 + 10620*p**2 - 137984*p - 148862.
2*(p - 49)**2*(p - 31)*(p + 1)
Solve -j**3/4 - 31*j**2/4 - 319*j/4 - 1089/4 = 0 for j.
-11, -9
Solve 75*w**3 + 10*w**2 - 40*w = 0 for w.
-4/5, 0, 2/3
Determine k, given that 3*k**3 + 15*k**2 - 51*k - 63 = 0.
-7, -1, 3
Solve -4*t**2 - 2016*t - 2012 = 0.
-503, -1
Solve 60*b**2 - 124*b + 8 = 0 for b.
1/15, 2
Factor 3*y**2/4 - 27*y/2 - 189/4.
3*(y - 21)*(y + 3)/4
Determine x, given that -2*x**2/11 - 220*x - 66550 = 0.
-605
Factor 3*k**4/2 - 24*k**3 + 102*k**2 - 120*k.
3*k*(k - 10)*(k - 4)*(k - 2)/2
Factor 2*s**3/19 - 18*s**2/19 - 68*s/19 - 48/19.
2*(s - 12)*(s + 1)*(s + 2)/19
Find v, given that -4*v**4/3 - 112*v**3/3 - 188*v**2/3 + 544*v/3 + 208 = 0.
-26, -3, -1, 2
Factor f**2/2 + 23*f/2 + 30.
(f + 3)*(f + 20)/2
Solve -2*g**2/3 + 4*g/3 + 16 = 0 for g.
-4, 6
Suppose n**4 + 25*n**3 + 114*n**2 - 532*n + 392 = 0. Calculate n.
-14, 1, 2
Factor 4*h**3 + 520*h**2 - 4*h - 520.
4*(h - 1)*(h + 1)*(h + 130)
Factor -c**4/4 - 7*c**3 - 39*c**2/2 - 19*c - 25/4.
-(c + 1)**3*(c + 25)/4
Suppose -2*m**4 - 106*m**3 + 1070*m**2 - 2822*m + 1860 = 0. Calculate m.
-62, 1, 3, 5
Factor 5*q**2 - 20*q + 20.
5*(q - 2)**2
Find w, given that w**2/2 - 335*w/4 + 249/2 = 0.
3/2, 166
Let 588*v**4 - 238*v**3 - 8*v**2 + 8*v = 0. Calculate v.
-1/6, 0, 2/7
Find h such that 5*h**3 - 30*h**2 - 1155*h - 4900 = 0.
-7, 20
Factor -27*r**3 - 1287*r**2 + 1752*r - 588.
-3*(r + 49)*(3*r - 2)**2
Suppose -2*k**4/19 + 86*k**3/19 - 372*k**2/19 - 344*k/19 + 80 = 0. What is k?
-2, 2, 5, 38
Factor -l**3 + 596*l**2 - 88804*l.
-l*(l - 298)**2
Factor 3*t**2 + 42348*t + 149446092.
3*(t + 7058)**2
Solve -f**2/4 - 12*f = 0.
-48, 0
Solve 21*v**5/4 + 195*v**4/4 - 639*v**3/4 + 537*v**2/4 - 21*v/2 - 18 = 0.
-12, -2/7, 1
Factor 5*t**2 + 710*t + 705.
5*(t + 1)*(t + 141)
Factor -5*t**4 - 5*t**3 + 10*t**2.
-5*t**2*(t - 1)*(t + 2)
Determine b, given that -b**3 - 36*b**2 = 0.
-36, 0
Suppose -2*n**2/3 + 70*n/3 - 68/3 = 0. What is n?
1, 34
Let -2*o**5/7 - 78*o**4/7 - 932*o**3/7 - 3372*o**2/7 - 4250*o/7 - 1734/7 = 0. Calculate o.
-17, -3, -1
Solve -2*t**3/3 + 2*t**2 + 576*t - 7128 = 0.
-33, 18
Factor 2*v**2/3 + 40*v/3 - 250/3.
2*(v - 5)*(v + 25)/3
Factor -3*q**3 + 879*q**2 - 63945*q - 64827.
-3*(q - 147)**2*(q + 1)
Factor -v**2 + 33*v + 430.
-(v - 43)*(v + 10)
Find u, given that 8*u**5/5 - 904*u**4/5 - 8662*u**3/5 - 15064*u**2/5 + 4402*u - 1220 = 0.
-5, 1/2, 122
Factor -m**3/2 + 109*m**2/2 + 221*m/2 + 111/2.
-(m - 111)*(m + 1)**2/2
Find x such that 2*x**3 + 26*x**2 - 28*x = 0.
-14, 0, 1
Suppose -2*b**2/15 - 802*b/15 - 160/3 = 0. What is b?
-400, -1
Factor -i**2/6 - 6*i - 34/3.
-(i + 2)*(i + 34)/6
Factor -3*i**2/4 - 153*i/4.
-3*i*(i + 51)/4
Determine d so that 3*d**5 - 36*d**4 + 87*d**3 - 54*d**2 = 0.
0, 1, 2, 9
Determine z, given that 2*z**2/3 + 43*z/3 + 7 = 0.
-21, -1/2
Determine y so that 4*y**3 - 4932*y**2 + 1512864*y + 4583088 = 0.
-3, 618
Find b such that -2*b**4 - 696*b**3 - 61244*b**2 - 120408*b - 59858 = 0.
-173, -1
Factor -3*b**3/5 - 126*b**2/5 - 1764*b/5 - 8232/5.
-3*(b + 14)**3/5
Factor 5*x**2/2 + 2545*x + 1295405/2.
5*(x + 509)**2/2
Find u, given that -3*u**3 + 219*u + 216 = 0.
-8, -1, 9
Suppose l**3/3 - 19*l**2/3 + 35*l/3 - 17/3 = 0. What is l?
1, 17
Let -2*r**2/17 - 82*r/17 + 84/17 = 0. Calculate r.
-42, 1
Factor -2*s**2/5 + 2768*s/5 - 957728/5.
-2*(s - 692)**2/5
Determine f, given that f**4/3 + 9*f**3 + 74*f**2/3 + 16*f = 0.
-24, -2, -1, 0
Find t such that t**3 - 9*t**2 - 21*t - 11 = 0.
-1, 11
Determine i so that -2*i**3 + 58*i**2 - 252*i + 288 = 0.
2, 3, 24
Find y such that 4*y**2 + 288*y - 292 = 0.
-73, 1
Factor -5*y**2 + 4175*y - 4170.
-5*(y - 834)*(y - 1)
Factor t**5 - 3*t**4 - t**3 + 7*t**2 - 4.
(t - 2)**2*(t - 1)*(t + 1)**2
Solve 5*i**2 - 2405*i = 0 for i.
0, 481
Factor 2*m**2/13 - 8*m/13 - 24/13.
2*(m - 6)*(m + 2)/13
Determine q so that 3*q**4/8 + 981*q**3/2 + 213858*q**2 + 31080696*q = 0.
-436, 0
Factor p**3 + 20*p**2 + 77*p - 242.
(p - 2)*(p + 11)**2
Factor 4*r**2/7 - 44*r/7 + 96/7.
4*(r - 8)*(r - 3)/7
Solve -p**5/8 - 7*p**4/4 - 63*p**3/8 - 41*p**2/4 + 8*p + 12 = 0.
-6, -4, -1, 1
Let h**3/6 - 5*h**2 - h/6 + 5 = 0. What is h?
-1, 1, 30
Factor o**3/7 - 90*o**2/7 + 2673*o/7 - 26244/7.
(o - 36)*(o - 27)**2/7
Determine s, given that 3*s**5/5 - 21*s**4/5 + 6*s**3 = 0.
0, 2, 5
Determine a, given that -2*a**3/11 + 56*a**2/11 - 54*a/11 = 0.
0, 1, 27
Factor 6*s**4 - 1174*s**3 + 780*s**2.
2*s**2*(s - 195)*(3*s - 2)
Factor 9*v**3 - 24*v**2 + 12*v.
3*v*(v - 2)*(3*v - 2)
What i