000 = 0.
-20, -11, -4, -1
Factor -2*p**2/11 - 78*p/11.
-2*p*(p + 39)/11
Suppose f**2/10 + 21*f/5 - 43/10 = 0. Calculate f.
-43, 1
Find t, given that 3*t**4/4 - 429*t**3/2 + 59607*t**2/4 + 62205*t + 63075 = 0.
-2, 145
Factor -4*y**3 - 10104*y**2 - 6370560*y + 12781568.
-4*(y - 2)*(y + 1264)**2
What is t in -20*t**4 + 305*t**3 - 185*t**2 - 1365*t - 855 = 0?
-1, 3, 57/4
Factor -16*r**2 + 3492*r - 872.
-4*(r - 218)*(4*r - 1)
Factor -2*f**4/11 + 4*f**3/11 + 14*f**2/11 + 8*f/11.
-2*f*(f - 4)*(f + 1)**2/11
Factor 3*q**5 + 54*q**4 + 291*q**3 + 432*q**2 + 192*q.
3*q*(q + 1)**2*(q + 8)**2
Solve -2*y**5/7 + 8*y**4/7 + 6*y**3 + 8*y**2/7 - 8*y = 0 for y.
-2, 0, 1, 7
Suppose -52*f**2/5 + 172*f/5 - 24 = 0. Calculate f.
1, 30/13
Factor -2*s**2/5 - 1876*s/5 - 439922/5.
-2*(s + 469)**2/5
What is q in 1002*q**5/11 - 4*q**4/11 = 0?
0, 2/501
Factor -4*b**4 - 12*b**3 + 8*b**2 + 48*b + 32.
-4*(b - 2)*(b + 1)*(b + 2)**2
Find d such that d**3/3 - 2*d**2 + 3*d = 0.
0, 3
Solve 2*d**5 + 14*d**4 - 114*d**3 + 82*d**2 + 112*d - 96 = 0.
-12, -1, 1, 4
Factor 15*c**3 - 32*c**2 + 19*c - 2.
(c - 1)**2*(15*c - 2)
Find z such that 3*z**2 - 639*z - 642 = 0.
-1, 214
Find i such that -21*i**4/5 - 60*i**3 - 1008*i**2/5 - 1104*i/5 - 48 = 0.
-10, -2, -2/7
Let -g**4/2 - 31*g**3/2 - 357*g**2/2 - 1813*g/2 - 1715 = 0. What is g?
-10, -7
Factor -3*s**3 + 150*s**2 + 663*s - 810.
-3*(s - 54)*(s - 1)*(s + 5)
Let 4*j**2 + 96*j - 1924 = 0. What is j?
-37, 13
Find i such that -2*i**5/5 - 174*i**4/5 + 356*i**3/5 - 4*i**2/5 - 354*i/5 + 178/5 = 0.
-89, -1, 1
Factor -3*q**3/2 - 585*q**2/2 - 288*q + 582.
-3*(q - 1)*(q + 2)*(q + 194)/2
Factor -o**2/7 - 141*o/7 - 680/7.
-(o + 5)*(o + 136)/7
Factor -2*f**4 + 46*f**3 - 152*f**2 - 504*f.
-2*f*(f - 18)*(f - 7)*(f + 2)
Factor -4*t**4 + 772*t**3 - 760*t**2 - 1536*t.
-4*t*(t - 192)*(t - 2)*(t + 1)
Find b such that 2*b**5/7 + 2*b**4 - 24*b**3/7 - 8*b**2 + 64*b/7 = 0.
-8, -2, 0, 1, 2
Factor -w**3/3 + 293*w**2/3 + w/3 - 293/3.
-(w - 293)*(w - 1)*(w + 1)/3
Factor 3*z**2/2 - 51*z + 180.
3*(z - 30)*(z - 4)/2
Suppose v**4/11 - 8*v**3/11 + 3*v**2/11 + 32*v/11 - 28/11 = 0. What is v?
-2, 1, 2, 7
Find r, given that 4*r**4 - 4*r**3 - 36*r**2 + 36*r = 0.
-3, 0, 1, 3
Factor -6*q**3/11 + 12*q**2/11 + 486*q/11 + 108.
-6*(q - 11)*(q + 3)*(q + 6)/11
Solve 3*x**5 + 5*x**4/2 - 9*x**3/2 - 7*x**2/2 + 3*x/2 + 1 = 0 for x.
-1, -1/2, 2/3, 1
Let 4*o**4/21 + 10*o**3/7 + 62*o**2/21 + 12*o/7 = 0. Calculate o.
-9/2, -2, -1, 0
Determine j, given that 18*j**3 - 179*j**2 - 208*j - 11 = 0.
-1, -1/18, 11
Factor 2*s**3 + 246*s**2 + 7686*s + 7442.
2*(s + 1)*(s + 61)**2
Factor 2*y**4/3 - 196*y**3/3 + 1534*y**2 + 9800*y/3 + 5000/3.
2*(y - 50)**2*(y + 1)**2/3
Factor 3*z**4 - 27*z**3 - 165*z**2 + 63*z + 702.
3*(z - 13)*(z - 2)*(z + 3)**2
Factor -w**5/3 - 5*w**4 - 80*w**3/3 - 200*w**2/3 - 80*w - 112/3.
-(w + 2)**4*(w + 7)/3
Factor n**4 - 12*n**3 + 11*n**2.
n**2*(n - 11)*(n - 1)
Factor -12*q**2 - 248*q - 160.
-4*(q + 20)*(3*q + 2)
Factor o**3 + 1069*o**2 + 287287*o + 852267.
(o + 3)*(o + 533)**2
Determine r, given that -r**4 + 12*r**3 + r**2 - 12*r = 0.
-1, 0, 1, 12
Suppose 3*p**3 - 6*p**2 - 45*p = 0. Calculate p.
-3, 0, 5
Let t**2/5 - 15*t + 74/5 = 0. What is t?
1, 74
Let 5*i**5 - 430*i**4 + 12180*i**3 - 109330*i**2 - 121945*i = 0. Calculate i.
-1, 0, 29
Let -4*g**5/3 - 101*g**4/3 - 841*g**3/3 - 2956*g**2/3 - 4016*g/3 - 832/3 = 0. Calculate g.
-13, -4, -1/4
Find n, given that 3*n**4/7 + 12*n**3/7 - 3*n**2/7 - 48*n/7 - 36/7 = 0.
-3, -2, -1, 2
Let -3*v**2/5 + 117*v/5 - 972/5 = 0. Calculate v.
12, 27
Let 2*u**2/5 - 12*u/5 = 0. What is u?
0, 6
Factor -4*f**4 - 148*f**3 - 1012*f**2 - 2508*f - 2088.
-4*(f + 2)*(f + 3)**2*(f + 29)
Find u, given that -2*u**3/7 + 8*u**2/7 + 22*u/7 + 12/7 = 0.
-1, 6
Determine x, given that x**3/7 - 30*x**2/7 - 132*x/7 - 136/7 = 0.
-2, 34
Find p, given that -3*p**2/2 + 243*p/2 + 924 = 0.
-7, 88
Solve a**5/10 - a**4/10 - 47*a**3/10 + 9*a**2/2 + 45*a = 0 for a.
-6, -3, 0, 5
Determine c, given that -2*c**4/3 + 8*c**3/9 + 94*c**2/9 + 88*c/9 - 40/9 = 0.
-2, 1/3, 5
Let n**2/2 - 703*n/2 + 351 = 0. What is n?
1, 702
Factor 15*n**3 + 50*n**2 + 15*n.
5*n*(n + 3)*(3*n + 1)
Factor -33*u**4/4 - 93*u**3/4 - 81*u**2/4 - 15*u/4 + 3/2.
-3*(u + 1)**3*(11*u - 2)/4
Solve y**2 + 100*y + 1056 = 0 for y.
-88, -12
Factor -2*z**3 + 42*z**2 - 78*z + 38.
-2*(z - 19)*(z - 1)**2
Factor -3*c**2 - 4521*c + 4524.
-3*(c - 1)*(c + 1508)
Factor 3*x**2/2 + 5*x + 7/2.
(x + 1)*(3*x + 7)/2
Factor -2*c**4/3 + 8*c**3 + 56*c**2/3.
-2*c**2*(c - 14)*(c + 2)/3
Determine a so that 5*a**4 + 155*a**3 + 1400*a**2 + 2940*a = 0.
-14, -3, 0
Factor -k**3/6 + 137*k**2/6 - 791*k/6 + 655/6.
-(k - 131)*(k - 5)*(k - 1)/6
Factor 39*a**2 - 651*a - 204.
3*(a - 17)*(13*a + 4)
Factor -s**3/6 + 10*s**2/3 + 23*s/2.
-s*(s - 23)*(s + 3)/6
Suppose x**2/3 + x - 18 = 0. Calculate x.
-9, 6
Factor -10*t**3/3 + 6*t**2 - 2*t - 2/3.
-2*(t - 1)**2*(5*t + 1)/3
Determine q, given that -2*q**5/7 + 472*q**4/7 - 40748*q**3/7 + 208376*q**2 - 13164898*q/7 - 221533456/7 = 0.
-8, 61
Let -3*x**2 + 1404*x - 164268 = 0. What is x?
234
Suppose -3*s**4 + 75*s**3 + 9*s**2 - 219*s - 150 = 0. What is s?
-1, 2, 25
Factor 4*t**3 + 292*t**2 + 5984*t + 23120.
4*(t + 5)*(t + 34)**2
Determine p, given that -p**3/2 - 2259*p**2 - 3402054*p - 1707831108 = 0.
-1506
Suppose 2*a**3 + 10294*a**2/3 + 17144*a/3 + 6856/3 = 0. Calculate a.
-1714, -1, -2/3
Factor 2*w**2 - 8*w.
2*w*(w - 4)
Solve 3*r**2 - 29*r - 10 = 0 for r.
-1/3, 10
Suppose 690*t**3 - 2065*t**2 - 15*t = 0. Calculate t.
-1/138, 0, 3
Factor -4*d**2 - 56*d - 196.
-4*(d + 7)**2
Determine o so that -2*o**5 - 18*o**4 - 46*o**3 - 6*o**2 + 72*o = 0.
-4, -3, 0, 1
Find x such that -x**4/7 + 2*x**3/7 + 4*x**2/7 - 2*x/7 - 3/7 = 0.
-1, 1, 3
Find f such that 3*f**5 - 5745*f**4/2 + 10023*f**3 - 5718*f**2 - 5724*f = 0.
-1/2, 0, 2, 954
Factor -4*w**4 + 124*w**3 + 400*w**2 + 272*w.
-4*w*(w - 34)*(w + 1)*(w + 2)
Factor -6*n**3 - 33*n**2 + 780*n - 2325.
-3*(n - 5)**2*(2*n + 31)
Factor 2*d**3/5 - 2*d/5.
2*d*(d - 1)*(d + 1)/5
Find z, given that 2*z**4/5 + 2*z**3 - 122*z**2/5 + 22*z = 0.
-11, 0, 1, 5
Factor z**3/6 - 7*z/6 + 1.
(z - 2)*(z - 1)*(z + 3)/6
What is o in 4*o**5 - 80*o**4 - 372*o**3 - 304*o**2 + 368*o + 384 = 0?
-2, -1, 1, 24
Factor 4*c**3/7 - 176*c**2/7 - 4*c/7 + 176/7.
4*(c - 44)*(c - 1)*(c + 1)/7
What is x in x**5 - 24*x**4 + 21*x**3 + 46*x**2 = 0?
-1, 0, 2, 23
What is s in -2*s**5 - 4*s**4/9 + 14*s**3 + 136*s**2/9 + 8*s/3 = 0?
-2, -1, -2/9, 0, 3
Factor s**2 - 12*s + 36.
(s - 6)**2
Let -5*k**3 - 280*k**2 - 805*k - 530 = 0. What is k?
-53, -2, -1
Factor -3*g**3 + 45*g**2 - 216*g + 336.
-3*(g - 7)*(g - 4)**2
Find h such that -2*h**5 + 14*h**4 - 24*h**3 - 8*h**2 + 32*h = 0.
-1, 0, 2, 4
Factor -4*f**3 + 172*f**2 + 360*f.
-4*f*(f - 45)*(f + 2)
Suppose -72*i**5/19 + 142*i**4/19 + 800*i**3/19 - 850*i**2/19 - 68*i/19 + 48/19 = 0. What is i?
-3, -1/4, 2/9, 1, 4
Factor -14*c**3 - 20*c**2 + 88*c + 144.
-2*(c + 2)**2*(7*c - 18)
Factor 2*g**2 - 218*g + 216.
2*(g - 108)*(g - 1)
Let -2*l**5/3 - 76*l**4/3 - 344*l**3/3 - 156*l**2 - 66*l = 0. Calculate l.
-33, -3, -1, 0
Factor -q**3/2 + 71*q**2/2 - 1175*q/2 - 1247/2.
-(q - 43)*(q - 29)*(q + 1)/2
What is z in -z**5/8 + 23*z**4/8 + 3*z**3 = 0?
-1, 0, 24
Factor -5*a**2/4 - 365*a/4.
-5*a*(a + 73)/4
Let 4*t**5/9 + 22*t**4/9 + 38*t**3/9 + 26*t**2/9 + 2*t/3 = 0. What is t?
-3, -1, -1/2, 0
Solve -q**2/7 + 1396*q/7 - 487204/7 = 0 for q.
698
Suppose 50*b**4/11 + 560*b**3/11 + 878*b**2/11 - 984*b/11 + 216/11 = 0. Calculate b.
-9, -3, 2/5
Factor 15*m**3/2 - 16255*m**2/2 + 5415*m.
5*m*(m - 1083)*(3*m - 2)/2
Factor 10*q**3 - 1844*q**2 + 83514*q + 138384.
2*(q - 93)**2*(5*q + 8)
Factor -l**3/4 - l**2 + 7*l/4 + 5/2.
-(l - 2)*(l + 1)*(l + 5)/4
Factor -2*h**3/15 + 46*h**2/5 + 428*h/15 + 96/5.
-2*(h - 72)*(h + 1)*(h + 2)/15
Suppose -j**3/4 + 65*j**2/4 - 63*j/2 = 0. Calculate j.
0, 2, 63
Factor 5*j**3 + 70*j**2 - 3200*j - 52000.
5*(j - 26)*(j + 20)**2
Find d, given that 4*d**5/3 + 928*d**4/3 + 7256*d**3/3 + 19808*d**2/3 + 7180*d + 2688 = 0.
-224, -3, -1
Factor -c**4 - 536*c**3.
-c**3*(c + 536)
Factor 3*c**2/7 + 1122*c + 734349.
3*(c + 1309)**2/7
Suppose -2*g**5/3 + 88*g**4/3 - 296*g**3/3 - 4928*g**2 - 18816*g = 0. Calculate g.
-6, 0, 28
Suppose 13*b**2/4 - 15*b/2 + 17/4 = 0. Calculate b.
1, 17/13
What is f in -f*