- 985*o**3/7 - 246*o**2/7.
-o**2*(o + 246)*(4*o + 1)/7
Factor 12*x**2 + 177*x + 306.
3*(x + 2)*(4*x + 51)
Solve 4*j**3 + 32*j**2 + 68*j + 40 = 0.
-5, -2, -1
Solve 2*j**4/9 + 70*j**3/3 - 6*j**2 - 642*j - 1260 = 0 for j.
-105, -3, 6
Factor -k**2/6 + 13*k/6 + 7/3.
-(k - 14)*(k + 1)/6
Determine b so that -2*b**4 + 4*b**3 - 2*b**2 = 0.
0, 1
Factor 36*n**3/7 + 64*n**2/7 - 124*n/7 + 24/7.
4*(n - 1)*(n + 3)*(9*n - 2)/7
Factor 2*i**2 - 584*i + 42632.
2*(i - 146)**2
Factor 6*y**2 - 56*y - 1160.
2*(y + 10)*(3*y - 58)
Let -a**2 - 29*a + 30 = 0. Calculate a.
-30, 1
Solve 2*j**2 + 2*j - 24 = 0.
-4, 3
Factor -g**5 + 1082*g**4 - 390961*g**3 + 47434680*g**2 - 93700800*g + 46656000.
-(g - 360)**3*(g - 1)**2
Find r, given that 5*r**3 - 40*r**2 - 220*r - 240 = 0.
-2, 12
Find z such that -2*z**3 - 6*z**2 + 32*z - 24 = 0.
-6, 1, 2
Solve h**2 + 246*h + 15129 = 0 for h.
-123
Suppose i**2 - 413*i + 822 = 0. Calculate i.
2, 411
Determine g so that -10*g**4 + 85*g**3 - 195*g**2 + 40*g + 80 = 0.
-1/2, 1, 4
Factor 2*h**4/7 + 88*h**3/7 + 472*h**2/7 + 608*h/7.
2*h*(h + 2)*(h + 4)*(h + 38)/7
Solve 3*a**2/4 + 81*a/4 + 75/2 = 0 for a.
-25, -2
Let 35*b**3 + 165*b**2 + 90*b - 40 = 0. What is b?
-4, -1, 2/7
Factor 2*q**2 - 140*q.
2*q*(q - 70)
Factor -g**3/5 - g**2/5 + 6*g/5.
-g*(g - 2)*(g + 3)/5
Let 2*s**5/3 - 230*s**4/3 + 74*s**3 + 694*s**2/3 - 1144*s/3 + 152 = 0. What is s?
-2, 1, 114
What is i in -i**2/4 - 797*i/4 + 399/2 = 0?
-798, 1
Let -80*n**4 - 14920*n**3 - 22245*n**2 - 8330*n - 925 = 0. Calculate n.
-185, -1, -1/4
Factor -t**5/6 + 7*t**4/6 - 3*t**3/2 - 9*t**2/2 + 9*t.
-t*(t - 3)**3*(t + 2)/6
Find f, given that -f**5/3 + 4*f**4/3 + 17*f**3/3 - 68*f**2/3 - 16*f/3 + 64/3 = 0.
-4, -1, 1, 4
What is v in 4*v**4/7 + 4*v**3/7 - 48*v**2/7 - 16*v - 64/7 = 0?
-2, -1, 4
Factor 4*r**2/5 - 308*r/5 - 192.
4*(r - 80)*(r + 3)/5
Factor -2*y**2/9 + 20*y/9 - 32/9.
-2*(y - 8)*(y - 2)/9
Find k such that -2*k**5/7 - 12*k**4/7 + 66*k**3/7 + 52*k**2/7 - 456*k/7 + 432/7 = 0.
-9, -3, 2
Factor 5*l**3 - 370*l**2 - 20*l + 1480.
5*(l - 74)*(l - 2)*(l + 2)
Find k such that 3*k**3 - 15*k**2 + 18*k = 0.
0, 2, 3
Factor -10690688*d**4 - 628864*d**3 - 13872*d**2 - 136*d - 1/2.
-(68*d + 1)**4/2
Suppose 4*u**2 + 8704*u + 4734976 = 0. What is u?
-1088
Factor 3*s**3 - 123*s**2 - 126*s.
3*s*(s - 42)*(s + 1)
Factor -5*h**2/6 + 65*h/6 - 10.
-5*(h - 12)*(h - 1)/6
Determine i so that -50*i**4 + 990*i**3 - 3278*i**2 + 3906*i - 1568 = 0.
1, 7/5, 16
Find f such that f**2 + 15386*f + 59182249 = 0.
-7693
Solve -3*l**4 + 9*l**3 + 9*l**2 - 21*l - 18 = 0.
-1, 2, 3
Determine f so that 2*f**5/11 - 46*f**4/11 + 380*f**3/11 - 1316*f**2/11 + 1666*f/11 - 686/11 = 0.
1, 7
What is x in x**3 - 876*x**2 + 255792*x - 24897088 = 0?
292
Find g such that -4*g**2 + 8*g - 4 = 0.
1
What is i in i**3 + 37*i**2 - 78*i = 0?
-39, 0, 2
Let -2*u**5/15 + 28*u**4/15 + 14*u**3/3 - 16*u**2/3 - 248*u/15 - 128/15 = 0. What is u?
-2, -1, 2, 16
Solve -45*p**5/2 - 663*p**4/2 + 219*p**3/2 + 567*p**2/2 - 135*p = 0 for p.
-15, -1, 0, 3/5, 2/3
Determine t so that -4*t**4 + 512*t**3 - 16884*t**2 + 31752*t = 0.
0, 2, 63
Solve -4*z**2 + 4780*z = 0 for z.
0, 1195
Solve -2*g**4/13 - 10*g**3/13 + 14*g**2/13 + 82*g/13 + 60/13 = 0.
-5, -2, -1, 3
Factor -4*p**2 - 848*p + 852.
-4*(p - 1)*(p + 213)
Factor 5*p**5 - 15*p**4 - 50*p**3 - 10*p**2 + 45*p + 25.
5*(p - 5)*(p - 1)*(p + 1)**3
Let -2*g**4/5 + 38*g**3/5 - 224*g**2/5 + 384*g/5 = 0. What is g?
0, 3, 8
Solve -2*l**3 - 82*l**2 - 704*l + 2904 = 0.
-22, 3
Factor -o**5 + 36*o**4 - 315*o**3.
-o**3*(o - 21)*(o - 15)
Factor 3*d**3/7 - 2769*d**2/7 + 2766*d/7.
3*d*(d - 922)*(d - 1)/7
Find a, given that 5*a**2 - 4300*a + 924500 = 0.
430
Factor -5*o**3 + 610*o**2 + 2500*o + 2520.
-5*(o - 126)*(o + 2)**2
Factor -5*b**3 + 3265*b**2 + 3270*b.
-5*b*(b - 654)*(b + 1)
Determine o so that -8*o**4/3 - 22*o**3 + 74*o**2 - 214*o/3 + 22 = 0.
-11, 3/4, 1
Let -2*c**5/5 - 52*c**4/5 - 536*c**3/5 - 2736*c**2/5 - 6912*c/5 - 6912/5 = 0. Calculate c.
-6, -4
Factor 3*w**3 + 45*w**2 - 54*w - 96.
3*(w - 2)*(w + 1)*(w + 16)
What is y in -2*y**3/7 + 64*y**2/7 + 206*y/7 + 20 = 0?
-2, -1, 35
Factor 5*a**5 - 5*a**4 - 70*a**3 + 140*a**2 + 40*a - 160.
5*(a - 2)**3*(a + 1)*(a + 4)
Determine u so that 35*u**4/3 - 1900*u**3/3 + 505*u**2/3 + 1900*u/3 - 180 = 0.
-1, 2/7, 1, 54
Factor -2*g**3/9 - 26*g**2/9 - 112*g/9 - 160/9.
-2*(g + 4)**2*(g + 5)/9
Solve 2*a**3 - 16*a**2 + 26*a - 12 = 0.
1, 6
Let -b**3/3 - 28*b**2/3 - 197*b/3 - 170/3 = 0. Calculate b.
-17, -10, -1
Let 3*g**4/2 + 15*g**3/2 + 9*g**2/2 - 27*g/2 = 0. Calculate g.
-3, 0, 1
Solve 5*k**3 - 75*k**2 + 135*k - 65 = 0 for k.
1, 13
Let -3*a**4/2 + 84*a**3 + 5091*a**2/2 + 14436*a - 17064 = 0. What is a?
-12, 1, 79
Factor -2*k**3 + 8*k**2 + 22*k - 60.
-2*(k - 5)*(k - 2)*(k + 3)
Factor -2*b**2 + 160*b - 3200.
-2*(b - 40)**2
Factor q**4/5 + 176*q**3/5 + 174*q**2/5 - 176*q/5 - 35.
(q - 1)*(q + 1)**2*(q + 175)/5
Factor 4*b**3 - 40*b**2 - 92*b - 48.
4*(b - 12)*(b + 1)**2
Solve -o**4 + 8*o**3 - 20*o**2 + 16*o = 0.
0, 2, 4
Factor -5*k**4 - 35*k**3 + 165*k**2 + 495*k - 1620.
-5*(k - 3)**2*(k + 4)*(k + 9)
Factor -f**4 + 112*f**3 + 1065*f**2 + 2888*f + 1936.
-(f - 121)*(f + 1)*(f + 4)**2
Factor -j**4/6 + j**3/6 + j**2/3.
-j**2*(j - 2)*(j + 1)/6
Factor -48*h**2 - 1848*h - 17787.
-3*(4*h + 77)**2
Find s such that 5*s**5 - 60*s**4 - 65*s**3 = 0.
-1, 0, 13
Factor -8*n**2/3 + 261*n + 98/3.
-(n - 98)*(8*n + 1)/3
Solve -4*t**3 + 40*t**2 - 100*t = 0 for t.
0, 5
Let l**3/4 - 11*l**2/4 - 25*l/4 - 13/4 = 0. What is l?
-1, 13
Solve -2*w**4/9 + 16*w**3/3 - 86*w**2/9 - 16*w/3 + 88/9 = 0.
-1, 1, 2, 22
Suppose 5*k**5 + 18825*k**4 + 23625355*k**3 + 9883206575*k**2 - 94501500*k - 39533127500 = 0. What is k?
-1255, -2, 2
Suppose h**3/6 - h**2/2 + h/2 - 1/6 = 0. What is h?
1
Find u such that -15*u**5 - 1239*u**4 - 1917*u**3 + 2211*u**2 + 1932*u - 972 = 0.
-81, -2, -1, 2/5, 1
Factor 5*o**2 - 40*o + 35.
5*(o - 7)*(o - 1)
Factor -r**2/2 - 5*r/2.
-r*(r + 5)/2
Factor o**4 - 210*o**3 + 15276*o**2 - 421966*o + 2706867.
(o - 67)**3*(o - 9)
Factor -2*a**3/5 + 714*a**2/5 - 84966*a/5 + 3370318/5.
-2*(a - 119)**3/5
Solve -4*g**3/7 + 604*g**2/7 + 3120*g/7 = 0 for g.
-5, 0, 156
Find u, given that -75*u**5 + 1045*u**4 - 1795*u**3 + 635*u**2 + 310*u - 120 = 0.
-2/5, 1/3, 1, 12
Factor -484*k**3 + 4532*k**2 - 1600*k + 144.
-4*(k - 9)*(11*k - 2)**2
Factor 4*u**2/3 + 36*u + 104/3.
4*(u + 1)*(u + 26)/3
Find o such that o**3/3 - 41*o**2/2 - 94*o/3 - 21/2 = 0.
-1, -1/2, 63
Factor -w**4/11 - 34*w**3/11 - 384*w**2/11 - 1440*w/11.
-w*(w + 10)*(w + 12)**2/11
Factor -2*y**3/9 - 1898*y**2/3 - 449350*y + 1353750.
-2*(y - 3)*(y + 1425)**2/9
Solve -q**4/5 + 13*q**3/5 + 13*q**2 + 51*q/5 = 0 for q.
-3, -1, 0, 17
Find t such that 5*t**4 - 140*t**3 + 1305*t**2 - 4050*t = 0.
0, 9, 10
Factor 3*r**2 + 801*r + 2376.
3*(r + 3)*(r + 264)
Suppose -2*l**4/3 + 12*l**3 + 38*l**2/3 = 0. What is l?
-1, 0, 19
Let -2*l**5/13 + 12*l**4/13 - 8*l**3/13 - 36*l**2/13 + 10*l/13 + 24/13 = 0. What is l?
-1, 1, 3, 4
Factor 5*p**3 + 45*p**2 + 40*p.
5*p*(p + 1)*(p + 8)
Factor 4*b**4 - 164*b**3 + 160*b**2.
4*b**2*(b - 40)*(b - 1)
Determine p so that 4*p**4 - 88*p**3 + 516*p**2 - 992*p + 560 = 0.
1, 2, 5, 14
Factor 2*b**2/5 - 16*b/5.
2*b*(b - 8)/5
Determine g, given that 4*g**2 - 116*g + 400 = 0.
4, 25
Suppose -5*q**3 + 6525*q**2 - 2838375*q + 411564375 = 0. Calculate q.
435
Factor w**3/3 + 455*w**2/2 + 227*w/2 - 341/3.
(w + 1)*(w + 682)*(2*w - 1)/6
Let 5*i**5/3 + 188*i**4/3 + 1709*i**3/3 - 1474*i**2/3 - 6916*i/3 + 2888/3 = 0. What is i?
-19, -2, 2/5, 2
Factor q**2 - 1.
(q - 1)*(q + 1)
Let -3*h**5 - 72*h**4 + 153*h**3 - 78*h**2 = 0. Calculate h.
-26, 0, 1
Solve 7*c**5/2 + 67*c**4/2 + 85*c**3/2 - 35*c**2/2 - 46*c - 16 = 0 for c.
-8, -1, -4/7, 1
Factor 4*s**2/5 + 76*s/5 - 16.
4*(s - 1)*(s + 20)/5
Factor 4*a**3/3 - 11*a**2/3 - a.
a*(a - 3)*(4*a + 1)/3
Solve -c**4 + 2*c**3 + 4*c**2 - 2*c - 3 = 0 for c.
-1, 1, 3
Find p such that 4*p**4 - 108*p**3 + 772*p**2 - 468*p - 1352 = 0.
-1, 2, 13
Factor -4*b**2 + 136*b + 140.
-4*(b - 35)*(b + 1)
Suppose -265*b**5 - 805*b**4 - 560*b**3 - 20*b**2 = 0. Calculate b.
-2, -1, -2/53, 0
Solve 2*g**4/11 + 26*g**3/11 - 136*g**2/11 = 0.
-17, 0, 4
Factor -4*m**2/5 + 28*m - 496/5.
-4*(m - 31)*(m - 4)/5
Factor 4*o**2 - 404*o.
4*o*(o - 101)
Determine a so that -5*a**5 + 30*a*