- 1175*o - 1785.
-5*(o - 119)*(o - 3)*(o + 1)
Find q, given that 5*q**5 - 95*q**4 + 555*q**3 - 1405*q**2 + 1600*q - 660 = 0.
1, 2, 3, 11
Factor p**4/2 + 15*p**3/4 + 7*p**2.
p**2*(p + 4)*(2*p + 7)/4
Solve -1694*t**5/9 + 103202*t**4/9 - 31156*t**3/3 - 15224*t**2/9 + 6224*t/9 + 320/3 = 0 for t.
-2/11, 2/7, 1, 60
Suppose -2*d**2/5 + 142*d/5 - 132 = 0. Calculate d.
5, 66
Factor 3*d**2 + 90*d + 375.
3*(d + 5)*(d + 25)
Factor -7*a**2 - 4937*a - 1410.
-(a + 705)*(7*a + 2)
Factor -35*h**3 - 1550*h**2 - 1945*h - 430.
-5*(h + 1)*(h + 43)*(7*h + 2)
Factor -a**2/5 + 161*a/5 - 474/5.
-(a - 158)*(a - 3)/5
Suppose -16*o**5 + 76*o**4 + 288*o**3 - 188*o**2 - 496*o + 336 = 0. Calculate o.
-2, 3/4, 1, 7
Factor -2*o**2 - 34*o - 60.
-2*(o + 2)*(o + 15)
Factor -3*a**3 - 3*a**2 + 12*a + 12.
-3*(a - 2)*(a + 1)*(a + 2)
Solve 2*w**2/7 + 68*w/7 - 144/7 = 0.
-36, 2
Determine a so that 9464*a**5/5 - 17134*a**4/5 - 696*a**3 - 214*a**2/5 - 4*a/5 = 0.
-1/13, -1/28, 0, 2
Factor 8*k**2 + 198*k - 50.
2*(k + 25)*(4*k - 1)
Factor 3*d**3/5 + 3726*d**2/5 + 1542564*d/5 + 212873832/5.
3*(d + 414)**3/5
Factor -2*u**2/5 - 174*u/5 + 176/5.
-2*(u - 1)*(u + 88)/5
Factor 3*f**3/7 + 24*f**2/7 - 27*f/7 - 216/7.
3*(f - 3)*(f + 3)*(f + 8)/7
Determine g, given that -2*g**3/3 - 108*g**2 - 3910*g + 115600/3 = 0.
-85, 8
Factor -3*l**2 + 1794*l - 268203.
-3*(l - 299)**2
Factor 9*f**2/8 - 7905*f/8 + 1317/4.
3*(f - 878)*(3*f - 1)/8
Factor 5*q**4 - 25*q**3 - 90*q**2 + 640*q - 800.
5*(q - 4)**2*(q - 2)*(q + 5)
Find u, given that -2*u**3/5 + 24*u**2/5 - 58*u/5 - 84/5 = 0.
-1, 6, 7
Factor 2*y**2/3 + 2812*y/3 + 988418/3.
2*(y + 703)**2/3
Suppose 24*u**5/5 - 146*u**4/5 + 226*u**3/5 - 102*u**2/5 - 2*u + 8/5 = 0. What is u?
-1/4, 1/3, 1, 4
Solve -r**3/2 + 51*r**2/2 - 112*r - 138 = 0.
-1, 6, 46
Determine u so that u**2/7 - 23*u/7 + 90/7 = 0.
5, 18
Factor -l**3/3 - 2*l**2/3 + 32*l/3 + 32.
-(l - 6)*(l + 4)**2/3
Solve l**2/4 - 865*l/4 - 651 = 0 for l.
-3, 868
Factor 2*i**2 + 128*i - 264.
2*(i - 2)*(i + 66)
Factor -3*c**2 - 2604*c - 565068.
-3*(c + 434)**2
Factor 3*d**2/4 - 9*d/2 + 6.
3*(d - 4)*(d - 2)/4
Solve -2*q**4/15 - 8*q**3/3 - 62*q**2/5 - 52*q/3 - 112/15 = 0.
-14, -4, -1
Factor 4*b**4 - 60*b**3 - 12*b**2 + 172*b + 120.
4*(b - 15)*(b - 2)*(b + 1)**2
Solve -4*t**2 - 668*t - 1968 = 0.
-164, -3
Determine u, given that -2*u**2/9 - 244*u/3 - 242 = 0.
-363, -3
Factor r**2 - 13*r.
r*(r - 13)
Suppose 4*q**3 + 1028*q**2 - 1032*q = 0. What is q?
-258, 0, 1
What is m in -3*m**4/5 + 84*m**3/5 - 366*m**2/5 + 492*m/5 - 207/5 = 0?
1, 3, 23
Suppose 236*c**4 - 362*c**3 + 130*c**2 - 4*c = 0. Calculate c.
0, 2/59, 1/2, 1
Find m, given that -m**2/2 + 907*m - 822649/2 = 0.
907
Suppose 2*m**4/3 + 146*m**3/3 - 11648*m**2/3 + 169000*m/3 = 0. Calculate m.
-125, 0, 26
Factor 3*n**4 - 75*n**3 + 324*n**2 - 492*n + 240.
3*(n - 20)*(n - 2)**2*(n - 1)
Solve 40*f**2/3 - 100*f/3 + 125/6 = 0.
5/4
Factor 15*i**4 - 250*i**3 - 85*i**2.
5*i**2*(i - 17)*(3*i + 1)
Solve 3*q**5 + 39*q**4/4 - 39*q**3/4 - 39*q**2 - 9*q = 0.
-3, -2, -1/4, 0, 2
Solve 2*f**2/7 - 44*f/7 = 0 for f.
0, 22
Let -p**3/2 + 5*p**2 - 9*p/2 = 0. Calculate p.
0, 1, 9
Factor -5*v**3 + 135*v**2 - 975*v + 845.
-5*(v - 13)**2*(v - 1)
Factor -2*w**3/11 - 1520*w**2/11 - 290314*w/11 - 574564/11.
-2*(w + 2)*(w + 379)**2/11
Factor -2*g**2/9 + 22*g/9 + 484/9.
-2*(g - 22)*(g + 11)/9
Suppose 18*s**2 + 1858*s + 412 = 0. Calculate s.
-103, -2/9
Determine v so that -4*v**2 + 16 = 0.
-2, 2
Solve -12*b**3 + 196*b**2 - 728*b - 576 = 0 for b.
-2/3, 8, 9
Factor -3*f**4/4 + 51*f**3/2 - 1227*f**2/4 + 1530*f - 2700.
-3*(f - 12)**2*(f - 5)**2/4
Suppose -r**2/5 - r/5 = 0. What is r?
-1, 0
Find c, given that -21*c**5/5 + 519*c**4/5 - 2349*c**3/5 + 1029*c**2/5 + 5286*c/5 + 1368/5 = 0.
-1, -2/7, 3, 4, 19
Factor 36*p**3 + 228*p**2 - 800*p + 576.
4*(p + 9)*(3*p - 4)**2
Factor -4*d**2/7 + 3520*d/7.
-4*d*(d - 880)/7
Determine w, given that 4*w**3 - 12*w**2 - 88*w + 96 = 0.
-4, 1, 6
Factor -2*u**2/9 - 5*u/3 - 7/9.
-(u + 7)*(2*u + 1)/9
Factor 8*i**2/11 - 26*i/11 - 24/11.
2*(i - 4)*(4*i + 3)/11
What is r in -5*r**3 + 595*r**2 + 10480*r + 43200 = 0?
-8, 135
Determine i so that -4*i**3/7 + 412*i**2/7 = 0.
0, 103
Factor -b**3/3 - 35*b**2/3 - 22*b.
-b*(b + 2)*(b + 33)/3
Factor 2*n**4/9 + 62*n**3/9 - 22*n**2 + 202*n/9 - 68/9.
2*(n - 1)**3*(n + 34)/9
Factor 5*p**3 + 115*p**2 + 215*p + 105.
5*(p + 1)**2*(p + 21)
Factor -5*p**3/3 - 20*p**2 + 455*p/3 + 170.
-5*(p - 6)*(p + 1)*(p + 17)/3
Factor -2*c**2/19 - 36*c/19 - 90/19.
-2*(c + 3)*(c + 15)/19
Factor u**4 + 34*u**3 + 189*u**2.
u**2*(u + 7)*(u + 27)
Factor -4*l**3/5 - 152*l**2/5 + 208*l/5 + 37856/5.
-4*(l - 14)*(l + 26)**2/5
Factor 2*k**3/7 + 80*k**2/7 + 418*k/7 + 340/7.
2*(k + 1)*(k + 5)*(k + 34)/7
Find v such that -2*v**4/15 - 58*v**3/15 - 20*v**2/3 + 232*v/15 + 144/5 = 0.
-27, -2, 2
Suppose a**4/6 + a**3/3 + a**2/6 = 0. What is a?
-1, 0
Find b such that 2*b**2/5 + 16*b/5 + 32/5 = 0.
-4
Factor -2*a**3 - 26*a**2 + 66*a + 90.
-2*(a - 3)*(a + 1)*(a + 15)
Find y, given that -y**4/4 + y**3/4 + y**2 - y = 0.
-2, 0, 1, 2
Factor 507*t**2 + 2964*t + 4332.
3*(13*t + 38)**2
Suppose 28*o**5 + 552*o**4 + 2780*o**3 + 1680*o**2 - 6768*o + 1728 = 0. Calculate o.
-12, -6, -3, 2/7, 1
Solve -45*r**4/4 - 275*r**3/4 + 15*r**2/4 + 1355*r/4 + 75/2 = 0 for r.
-5, -3, -1/9, 2
Let 5*n**3 + 205*n**2 - 885*n + 675 = 0. Calculate n.
-45, 1, 3
Factor -2*r**3/5 + 1518*r**2/5 - 288798*r/5 + 287282/5.
-2*(r - 379)**2*(r - 1)/5
Factor -2*m**3/11 + 82*m**2/11 + 2*m/11 - 82/11.
-2*(m - 41)*(m - 1)*(m + 1)/11
Find p, given that -2*p**4/9 - 50*p**3/9 - 158*p**2/9 + 670*p/3 - 200 = 0.
-15, 1, 4
Determine h so that -132*h**4 + 200*h**3 + 12*h**2 - 96*h + 16 = 0.
-2/3, 2/11, 1
Find v, given that 3*v**3 + 54*v**2 + 96*v = 0.
-16, -2, 0
Suppose -4*n**4 + 1184*n**3 + 5988*n**2 + 9616*n + 4816 = 0. Calculate n.
-2, -1, 301
What is u in -3*u**4/7 - 3*u**3/7 + 3*u**2/7 + 3*u/7 = 0?
-1, 0, 1
Factor 2*m**2/3 - 782*m/3 + 260.
2*(m - 390)*(m - 1)/3
Factor -k**5/5 + 19*k**4/5 - 126*k**3/5 + 76*k**2 - 536*k/5 + 288/5.
-(k - 9)*(k - 4)*(k - 2)**3/5
Determine x so that 20*x**4 + 188*x**3 - 900*x**2 + 468*x = 0.
-13, 0, 3/5, 3
Factor 4*n**5 - 16*n**4 - 8*n**3 + 48*n**2 + 36*n.
4*n*(n - 3)**2*(n + 1)**2
Let -338*o**2/9 - 260*o/3 - 50 = 0. What is o?
-15/13
Solve l**2 + 107*l - 560 = 0 for l.
-112, 5
Factor -20*n**2 - 3368*n - 1344.
-4*(n + 168)*(5*n + 2)
Factor 4*k**4 + 8*k**3 + 4*k**2.
4*k**2*(k + 1)**2
What is w in -2*w**4 - 60*w**3 - 526*w**2 - 1092*w = 0?
-14, -13, -3, 0
Factor t**4 + 5*t**3 - 56*t**2 - 348*t - 288.
(t - 8)*(t + 1)*(t + 6)**2
Factor 3*s**4 + 132*s**3 - 138*s**2 - 132*s + 135.
3*(s - 1)**2*(s + 1)*(s + 45)
Factor 16*p**2/9 + 5524*p/3 + 1380.
4*(p + 1035)*(4*p + 3)/9
Find v such that -2*v**2/9 + 308*v/9 - 570 = 0.
19, 135
Let 2*n**3/15 + 64*n**2/3 + 1256*n/15 + 416/5 = 0. What is n?
-156, -2
Suppose h**3/3 + 13*h**2 - 14*h - 80/3 = 0. Calculate h.
-40, -1, 2
Determine p, given that -5*p**5 - 45*p**4 + 5*p**3 + 45*p**2 = 0.
-9, -1, 0, 1
Factor 3*r**4 - 15*r**3 + 12*r**2.
3*r**2*(r - 4)*(r - 1)
Determine p, given that p**4/3 + 29*p**3/3 - 32*p**2/3 - 20*p = 0.
-30, -1, 0, 2
Factor 2*a**3/7 - 144*a**2/7 - 918*a/7 - 1404/7.
2*(a - 78)*(a + 3)**2/7
Determine f so that -3*f**2 - 486*f - 10275 = 0.
-137, -25
Factor 5*m**5 + 10*m**4 - 15*m**3.
5*m**3*(m - 1)*(m + 3)
Determine b so that -4*b**4 + 32*b**3 - 72*b**2 + 64*b - 20 = 0.
1, 5
Solve -2*f**5/7 - 64*f**4/7 - 120*f**3/7 + 4*f**2/7 + 122*f/7 + 60/7 = 0.
-30, -1, 1
Factor -4*t**3 + 2324*t**2 + 2336*t - 4656.
-4*(t - 582)*(t - 1)*(t + 2)
Factor -14*s**5/3 - 26*s**4/3 + 4*s**3/3.
-2*s**3*(s + 2)*(7*s - 1)/3
Factor -o**2/6 + 1571*o/3 - 2468041/6.
-(o - 1571)**2/6
Solve -2*v**2 + 48*v - 238 = 0 for v.
7, 17
Suppose 2*l**3 - 1190*l**2 + 182246*l - 1545282 = 0. What is l?
9, 293
Factor -3*z**5 - 12*z**4 + 15*z**3.
-3*z**3*(z - 1)*(z + 5)
Suppose 9*u**4 + 457*u**3 + 5973*u**2 + 4275*u - 1250 = 0. What is u?
-25, -1, 2/9
Factor -5*z**4 + 150*z**3 + 5*z**2 - 150*z.
-5*z*(z - 30)*(z - 1)*(z + 1)
Solve 4*w**4 - 8*w**3 - 48*w**2 + 32*w + 128 = 0.
-2, 2, 4
Let -b**3/2 + 5*b**2 - 17*b/2 + 4 = 0. What is b?
1, 8
Factor 4*g**2 - 20*g - 56.
4*(g - 7)*(g + 2)
Determine h so that -2*h**2/5 + 98*h/5 - 1088/5 = 0.
17, 32
Determine d, given that -10*d**4 - 25*d**3 + 20*d**2 + 15*