60 = 0. What is s?
-10, -1, 4
Factor -r**3/10 - r**2/10 + 11*r/5 + 4.
-(r - 5)*(r + 2)*(r + 4)/10
Factor 50*r**5 + 120*r**4 - 198*r**3 - 484*r**2.
2*r**2*(r - 2)*(5*r + 11)**2
Find w such that 7*w**2/2 + 67*w/2 + 18 = 0.
-9, -4/7
Solve -2*u**3/13 + 6*u**2/13 + 56*u/13 = 0.
-4, 0, 7
Find w, given that -5*w**5 + 15*w**3 - 10*w**2 = 0.
-2, 0, 1
Factor 3*v**5 - 6*v**4 - 12*v**3 + 6*v**2 + 9*v.
3*v*(v - 3)*(v - 1)*(v + 1)**2
Factor -4*h**2 + 14680*h - 13468900.
-4*(h - 1835)**2
Suppose -57*z**5 - 54*z**4 + 573*z**3 - 486*z**2 + 24*z = 0. Calculate z.
-4, 0, 1/19, 1, 2
Determine f so that 60*f**4 - 205*f**3 - 855*f**2 - 440*f - 60 = 0.
-2, -1/3, -1/4, 6
Solve z**5/3 + 89*z**4/9 + 6*z**3 - 118*z**2/9 - 19*z/3 + 29/9 = 0.
-29, -1, 1/3, 1
Factor 5*s**3 + 30*s**2 - 225*s - 250.
5*(s - 5)*(s + 1)*(s + 10)
Factor 2*m**3/15 - 562*m**2/15 - 340*m/3 - 1136/15.
2*(m - 284)*(m + 1)*(m + 2)/15
Solve -z**3/5 - 23*z**2/5 + 4*z/5 + 92/5 = 0.
-23, -2, 2
Determine w, given that -10*w**4/3 + 5846*w**3/9 - 93820*w**2/3 - 108584*w/3 - 38416/9 = 0.
-1, -2/15, 98
Suppose -5*a**2 - 160*a + 165 = 0. Calculate a.
-33, 1
Factor -3*y**5 - 243*y**4 - 7440*y**3 - 103200*y**2 - 576000*y - 480000.
-3*(y + 1)*(y + 20)**4
Factor -3*z**2 - 2652*z - 586092.
-3*(z + 442)**2
Factor -m**2 - 76*m + 237.
-(m - 3)*(m + 79)
Determine d so that -d**3/7 + 6*d**2/7 + d/7 - 6/7 = 0.
-1, 1, 6
Factor 2*v**3 - 302*v**2 - 304*v.
2*v*(v - 152)*(v + 1)
Factor 5*f**3 - 5*f**2.
5*f**2*(f - 1)
Factor -3*s**4/2 - 9*s**3 + 75*s**2/2 - 27*s.
-3*s*(s - 2)*(s - 1)*(s + 9)/2
Let 3*b**2/5 + 66*b/5 + 24 = 0. Calculate b.
-20, -2
What is a in 16*a**3 - 3600*a**2 + 206052*a - 397832 = 0?
2, 223/2
Factor -8*c**4/3 - 26*c**3/3 - 10*c**2 - 14*c/3 - 2/3.
-2*(c + 1)**3*(4*c + 1)/3
Factor -2*b**4 + 92*b**3 + 392*b**2 + 400*b.
-2*b*(b - 50)*(b + 2)**2
Factor 2*g**3/5 - 364*g**2/5 - 734*g/5 - 368/5.
2*(g - 184)*(g + 1)**2/5
Factor 2*i**3/11 - 46*i**2/11 - 72*i/11 + 1656/11.
2*(i - 23)*(i - 6)*(i + 6)/11
Let -12*j**3 - 172*j**2 - 169*j/3 - 14/3 = 0. Calculate j.
-14, -1/6
Factor -o**3 - 2601*o**2 - 1692600*o - 1690000.
-(o + 1)*(o + 1300)**2
Factor -t**3 + 240*t**2.
-t**2*(t - 240)
What is g in 3*g**5/2 - 21*g**4/2 + 39*g**3/2 + 9*g**2/2 - 27*g = 0?
-1, 0, 2, 3
Suppose -5*m**4 + 50*m**3 + 180*m**2 + 190*m + 65 = 0. Calculate m.
-1, 13
Factor -4*g**2 - 5208*g + 5212.
-4*(g - 1)*(g + 1303)
Suppose 3*j**2 - 60*j - 375 = 0. Calculate j.
-5, 25
Let -15*m**5/4 - 145*m**4/4 - 175*m**3/4 + 225*m**2/4 + 95*m/2 - 20 = 0. Calculate m.
-8, -2, -1, 1/3, 1
Factor 2*g**2/7 + 638*g/7 - 640/7.
2*(g - 1)*(g + 320)/7
Factor -s**5 + 17*s**4 + 101*s**3 + 191*s**2 + 152*s + 44.
-(s - 22)*(s + 1)**3*(s + 2)
Solve q**5 + 11*q**4 + 39*q**3 + 41*q**2 - 32*q - 60 = 0 for q.
-5, -3, -2, 1
Factor -26645*z**3 + 31025*z**2 - 4560*z + 180.
-5*(z - 1)*(73*z - 6)**2
Factor 5*w**4/3 + 20*w**3/3 + 5*w**2/3 - 10*w.
5*w*(w - 1)*(w + 2)*(w + 3)/3
What is i in 5*i**2/4 - 3315*i/2 + 2197845/4 = 0?
663
Factor 5*i**4 - 165*i**3 + 1410*i**2 - 320*i - 7680.
5*(i - 16)**2*(i - 3)*(i + 2)
Determine m, given that 9*m**5/5 + 51*m**4/5 + 99*m**3/5 + 69*m**2/5 - 12/5 = 0.
-2, -1, 1/3
Determine y, given that 4*y**4 + 384*y**3 + 9592*y**2 + 18048*y + 8836 = 0.
-47, -1
Factor -2*p**3 + 36*p**2 - 192*p + 256.
-2*(p - 8)**2*(p - 2)
Factor 20624805*s**2 + 40620*s + 20.
5*(2031*s + 2)**2
Factor -g**2/3 + 76*g/3 + 79.
-(g - 79)*(g + 3)/3
Find t such that 49*t**4 + 1288*t**3 + 1590*t**2 + 376*t + 25 = 0.
-25, -1, -1/7
Solve -5*z**3 + 1690*z**2 - 13280*z + 26400 = 0.
4, 330
Let -3*b**4 + 195*b**3 - 3051*b**2 + 16281*b - 21870 = 0. What is b?
2, 9, 45
Factor 5*o**4 + 2620*o**3 + 25825*o**2 + 64250*o.
5*o*(o + 5)**2*(o + 514)
Find x, given that -5*x**3/3 - 15*x**2 - 40*x/3 = 0.
-8, -1, 0
Factor 2*k**2/11 + 62*k/11 - 12.
2*(k - 2)*(k + 33)/11
Determine l, given that 5*l**3 - 370*l**2 = 0.
0, 74
Find d such that 3*d**5/5 - 6*d**4 + 54*d**3/5 + 84*d**2/5 - 129*d/5 - 126/5 = 0.
-1, 2, 3, 7
Factor -2*o**3/9 - 644*o**2/9 - 51842*o/9.
-2*o*(o + 161)**2/9
Factor -m**2/4 - 11*m/4 - 15/2.
-(m + 5)*(m + 6)/4
What is w in w**5/3 - 7*w**4/3 + 2*w**3/3 + 28*w**2/3 - 8*w = 0?
-2, 0, 1, 2, 6
Suppose -6*h**3 + 202*h**2/3 + 172*h/3 - 16 = 0. What is h?
-1, 2/9, 12
Suppose 2*r**4/9 + 4*r**3/3 - 2*r**2 - 28*r/9 = 0. What is r?
-7, -1, 0, 2
Suppose i**2/2 + 1670*i + 1394450 = 0. Calculate i.
-1670
Find p such that -p**2/2 - 40*p - 800 = 0.
-40
Determine k so that k**4/5 - 64*k**3/5 + 132*k**2 - 1872*k/5 = 0.
0, 6, 52
Let 5*o**2 + 145*o + 900 = 0. What is o?
-20, -9
Determine l, given that 2*l**2 + 138*l + 268 = 0.
-67, -2
What is n in -3*n**2 - 246*n = 0?
-82, 0
Find j, given that 2*j**2/7 - 426*j/7 - 3536/7 = 0.
-8, 221
Let 27*g**5/10 - 297*g**4/10 + 126*g**3/5 + 104*g**2/5 - 144*g/5 + 8 = 0. What is g?
-1, 2/3, 10
Factor -m**4 + 3*m**2 + 2*m.
-m*(m - 2)*(m + 1)**2
Solve j**5/2 - 5*j**4/2 + 3*j**3/2 + 17*j**2/2 - 14*j + 6 = 0.
-2, 1, 2, 3
Factor -3*o**2/2 + 27*o/2 + 105.
-3*(o - 14)*(o + 5)/2
Determine b, given that 4*b**5 + 52*b**4 + 172*b**3 + 76*b**2 - 176*b - 128 = 0.
-8, -4, -1, 1
Determine h, given that 65*h**3 - 75*h**2 + 10*h = 0.
0, 2/13, 1
Determine j so that 2*j**4/15 + 68*j**3/15 - 8*j**2/15 - 272*j/15 = 0.
-34, -2, 0, 2
Determine d, given that -d**2/6 - 571*d/6 = 0.
-571, 0
Determine c, given that 4*c**3 + 772*c**2 + 5984*c + 11840 = 0.
-185, -4
Let 5*w**4 + 60*w**3 - 345*w**2 - 1940*w - 2100 = 0. Calculate w.
-15, -2, 7
Find i such that -i**5/9 + 19*i**4/9 - 95*i**3/9 + 77*i**2/9 = 0.
0, 1, 7, 11
Suppose 35*b**5 + 1180*b**4 + 1865*b**3 - 1820*b**2 - 1900*b + 640 = 0. What is b?
-32, -2, -1, 2/7, 1
Factor 2*j**2 - 286*j + 564.
2*(j - 141)*(j - 2)
Factor 13*o**3/11 - 54*o**2/11 + 60*o/11 - 8/11.
(o - 2)**2*(13*o - 2)/11
Solve -5*y**2 + 5*y + 10 = 0.
-1, 2
Find u such that 25*u**3 - 130*u**2 + 175*u - 30 = 0.
1/5, 2, 3
Solve -2*z**3 - 22*z**2 - 30*z + 54 = 0 for z.
-9, -3, 1
Find v such that 3*v**4/5 - 3*v**3 + 18*v**2/5 + 12*v/5 - 24/5 = 0.
-1, 2
What is c in -4*c**3/3 + 58*c**2/3 - 28*c/3 = 0?
0, 1/2, 14
Solve 2*w**2 + 36*w - 80 = 0 for w.
-20, 2
Find l such that 36*l**5 + 112*l**4 + 88*l**3 - 48*l**2 - 92*l - 32 = 0.
-1, 8/9
Factor 2*d**5/3 + 31*d**4/6 + 28*d**3/3 - 8*d**2/3.
d**2*(d + 4)**2*(4*d - 1)/6
Factor 28*s**3 + 160*s**2 - 48*s.
4*s*(s + 6)*(7*s - 2)
Suppose -n**5 - n**4 + 3*n**3 + n**2 - 2*n = 0. What is n?
-2, -1, 0, 1
Factor -159*x**2/4 - 153*x/4 + 3/2.
-3*(x + 1)*(53*x - 2)/4
Let 4*j**5/5 + 532*j**4/5 - 2192*j**3/5 + 64*j**2/5 + 8704*j/5 - 8768/5 = 0. What is j?
-137, -2, 2
Determine r so that -5*r**4 + 115*r**3 - 800*r**2 + 1500*r = 0.
0, 3, 10
Solve -4*z**3/5 + 84*z**2/5 - 24*z - 608/5 = 0.
-2, 4, 19
Factor 2*t**3 - 14*t + 12.
2*(t - 2)*(t - 1)*(t + 3)
What is l in 14*l**5 + 428*l**4 + 1676*l**3 + 168*l**2 - 3690*l + 1404 = 0?
-26, -3, 3/7, 1
Suppose -3*v**2 - 726*v - 43923 = 0. What is v?
-121
Suppose 2*r**4 + 94*r**3 + 264*r**2 - 8*r - 352 = 0. Calculate r.
-44, -2, 1
Suppose 2*l**3 - 8*l**2 - 134*l + 140 = 0. What is l?
-7, 1, 10
Determine l, given that -2*l**5 + 14*l**3 - 12*l**2 = 0.
-3, 0, 1, 2
Suppose 8*g**5/5 - 12*g**4 + 56*g**3/5 + 108*g**2/5 - 64*g/5 - 48/5 = 0. What is g?
-1, -1/2, 1, 2, 6
Find f, given that 2*f**3/5 - 86*f**2/5 + 232*f/5 + 64 = 0.
-1, 4, 40
Determine z so that -3*z**2 - 5301*z = 0.
-1767, 0
Factor -4*f**3 + 101*f**2/5 + 23*f - 6/5.
-(f - 6)*(f + 1)*(20*f - 1)/5
Suppose -21*k**3/4 + 51*k**2/2 - 135*k/4 + 27/2 = 0. Calculate k.
6/7, 1, 3
Factor -4*r**4 + 8*r**3 + 4*r**2 - 8*r.
-4*r*(r - 2)*(r - 1)*(r + 1)
Factor -4*y**5 - 52*y**4 - 36*y**3 + 164*y**2 + 248*y + 96.
-4*(y - 2)*(y + 1)**3*(y + 12)
What is p in 5*p**4 - 81*p**3/2 + 4*p**2 = 0?
0, 1/10, 8
Factor -2*q**2/7 + 6*q/7.
-2*q*(q - 3)/7
Factor -5*l**2 - 40*l - 75.
-5*(l + 3)*(l + 5)
Solve 3*y**3 - 2358*y**2 + 465696*y - 921984 = 0 for y.
2, 392
Find n such that 18*n**3/13 - 7376*n**2/13 - 9038*n/13 - 1644/13 = 0.
-1, -2/9, 411
Let 3*b**5 - 147*b**4 + 2448*b**3 - 14592*b**2 + 12288*b = 0. What is b?
0, 1, 16
What is u in 2*u**3 - 32*u**2 + 96*u = 0?
0, 4, 12
Suppose -4*r**3 - 352*r**2 - 1676*r - 1328 = 0. Calculate r.
-83, -4, -1
Solve -g**3 + 532*g**2 - 73341*g + 681210 = 0 for g.
10, 261
Let -8*k**5 - 52*k**4 - 36*k**3 + 160*k**2 - 64*k = 0. Calculate k.
-4, 0, 1/2, 1
Determine o, given th