 22*q**4 + 94*q**3/3 + 32*q**2/3.
-q**2*(q - 16)*(3*q + 2)**2/6
Factor 2*w**3/3 + 50*w**2/3 - 36*w.
2*w*(w - 2)*(w + 27)/3
Let 338*s**5/9 - 21866*s**4/9 - 32896*s**3/3 - 122096*s**2/9 - 30880*s/9 - 736/3 = 0. What is s?
-2, -2/13, 69
Factor l**3/3 + 2*l**2/3 - l/3 - 2/3.
(l - 1)*(l + 1)*(l + 2)/3
Determine a so that -a**3/2 + 110*a**2 - 11877*a/2 - 12321 = 0.
-2, 111
Factor 5*v**4 - 5*v**3 - 35*v**2 + 65*v - 30.
5*(v - 2)*(v - 1)**2*(v + 3)
Factor -2*g**4 + 136*g**3 - 264*g**2.
-2*g**2*(g - 66)*(g - 2)
Solve 57624*i**2 + 392*i + 2/3 = 0 for i.
-1/294
Factor 5*v**2 - 20*v.
5*v*(v - 4)
Find i such that 18*i**4/7 - 104*i**3/7 - 6*i**2 + 104*i/7 + 24/7 = 0.
-1, -2/9, 1, 6
Factor -i**4/5 + 9*i**3/5 - 14*i**2/5.
-i**2*(i - 7)*(i - 2)/5
Determine n so that -2*n**5/9 + 4*n**4/9 + 2*n**3/3 - 16*n**2/9 + 8*n/9 = 0.
-2, 0, 1, 2
Solve -5*w**3/2 - 135*w**2/2 - 335*w - 420 = 0.
-21, -4, -2
Factor -2*r**3/7 - 54*r**2/7 - 100*r/7.
-2*r*(r + 2)*(r + 25)/7
Let 2*k**4/9 + 1504*k**3/9 + 42000*k**2 + 32000000*k/9 + 62500000/9 = 0. What is k?
-250, -2
Factor -2*s**4/9 + 20*s**3/9 - 50*s**2/9.
-2*s**2*(s - 5)**2/9
Find w, given that 20*w**5 + 168*w**4 + 524*w**3 + 744*w**2 + 464*w + 96 = 0.
-3, -2, -1, -2/5
Factor u**2/6 - 101*u/6 - 107.
(u - 107)*(u + 6)/6
Let 5*x**5 - 50*x**4 + 80*x**3 + 10*x**2 - 85*x + 40 = 0. Calculate x.
-1, 1, 8
Solve -28*c**5 - 344*c**4 + 5280*c**3 - 15040*c**2 + 10048*c + 4224 = 0.
-22, -2/7, 2, 6
Factor -2*u**3/11 + 398*u**2/11 - 20384*u/11 + 57624/11.
-2*(u - 98)**2*(u - 3)/11
Factor -900*m**4 - 4260*m**3 + 1184*m**2 - 80*m.
-4*m*(m + 5)*(15*m - 2)**2
Suppose -2*t**3/3 + 32*t**2/3 + 186*t + 324 = 0. Calculate t.
-9, -2, 27
What is z in -5*z**2 + 3130*z - 489845 = 0?
313
Solve 40*h**2 - 375*h + 135 = 0.
3/8, 9
Solve -4*d**3/7 + 20*d**2/7 + 52*d/7 + 4 = 0 for d.
-1, 7
Factor 2*u**4/3 - 16*u**3 + 332*u**2/3 - 176*u + 242/3.
2*(u - 11)**2*(u - 1)**2/3
Factor p**2/5 - 724*p/5 + 2163/5.
(p - 721)*(p - 3)/5
Factor -2*f**3 - 1178*f**2 - 174048*f - 172872.
-2*(f + 1)*(f + 294)**2
Determine g, given that -4*g**3/9 - 38*g**2/9 - 4*g/3 + 6 = 0.
-9, -3/2, 1
Determine v, given that -3*v**5/2 - 9*v**4/2 + 3*v**3/2 + 21*v**2/2 - 6 = 0.
-2, -1, 1
Solve p**2/3 + 290*p + 869/3 = 0 for p.
-869, -1
Factor -3*l**3 + 3087*l**2 - 789480*l - 2396304.
-3*(l - 516)**2*(l + 3)
Factor 2*g**2 - 22*g - 552.
2*(g - 23)*(g + 12)
Let 2*u**4/11 + 8*u**3/11 - 10*u**2/11 = 0. What is u?
-5, 0, 1
Factor -i**4 + 2*i**3 + 3*i**2.
-i**2*(i - 3)*(i + 1)
Suppose -3*t**4/7 - 762*t**3/7 + 765*t**2/7 = 0. What is t?
-255, 0, 1
Solve 14*l**3 - 6*l**2 - 92*l - 48 = 0.
-2, -4/7, 3
Suppose 2*b**3 + 70*b**2 - 412*b - 480 = 0. What is b?
-40, -1, 6
Solve -190*t**4/7 + 376*t**3/7 + 198*t**2/7 - 376*t/7 - 8/7 = 0 for t.
-1, -2/95, 1, 2
Factor -4*h**3 + 236*h**2 - 3996*h + 14580.
-4*(h - 27)**2*(h - 5)
Factor t**3/7 + t**2/7 - 6*t/7.
t*(t - 2)*(t + 3)/7
What is k in -2*k**3/11 - 2*k**2/11 + 24*k/11 = 0?
-4, 0, 3
Solve -3*w**5/4 + 303*w**4/4 - 10281*w**3/4 + 137109*w**2/4 - 196980*w + 411600 = 0 for w.
7, 40
Suppose 2*o**4/9 - 6*o**3 + 34*o**2/3 - 50*o/9 = 0. What is o?
0, 1, 25
Let 5*j**4/3 + 28*j**3/3 + 11*j**2 + 2*j/3 - 8/3 = 0. What is j?
-4, -1, 2/5
Factor 57*j**2/5 - 291*j/5 + 6.
3*(j - 5)*(19*j - 2)/5
Let -x**2/2 + 23*x/2 + 70 = 0. Calculate x.
-5, 28
Let -3*l**4 + 240*l**3 - 6750*l**2 + 75000*l - 234375 = 0. Calculate l.
5, 25
Factor 50*a**2/11 + 20*a + 22.
2*(5*a + 11)**2/11
Factor 4*m**2/3 - 112*m/3 + 208/3.
4*(m - 26)*(m - 2)/3
Determine z, given that -2*z**5/5 + 7*z**4/5 + z**3 - 4*z**2/5 = 0.
-1, 0, 1/2, 4
Let w**2/7 + 86*w/7 + 1849/7 = 0. Calculate w.
-43
Factor q**2/11 - 5*q/11 - 24/11.
(q - 8)*(q + 3)/11
Factor -3*w**3 - 876*w**2 - 64815*w - 126150.
-3*(w + 2)*(w + 145)**2
Find y, given that 4*y**4 - 28*y**3 + 8*y**2 + 256*y - 384 = 0.
-3, 2, 4
Factor 2*u**4/5 + 32*u**3/5 - 8*u**2/5 - 128*u/5.
2*u*(u - 2)*(u + 2)*(u + 16)/5
Factor 8*f**3/3 + 4*f**2/3 - 32*f/3 + 20/3.
4*(f - 1)**2*(2*f + 5)/3
Determine o so that -o**4 - 62*o**3 - 1177*o**2 - 6696*o - 11664 = 0.
-27, -4
Determine a so that -5*a**3 - 7720*a**2 + 15455*a - 7730 = 0.
-1546, 1
Factor -2*h**2/13 + 348*h/13 - 15138/13.
-2*(h - 87)**2/13
Let l**2/2 - 95*l/4 + 91/2 = 0. What is l?
2, 91/2
Find u, given that u**2/3 + 1124*u/3 - 2252/3 = 0.
-1126, 2
Let -117649*h**5/10 - 21609*h**4/5 - 2646*h**3/5 - 108*h**2/5 = 0. Calculate h.
-6/49, 0
What is w in 6*w**2/7 - 106*w - 248/7 = 0?
-1/3, 124
Factor -3*w**4/4 - 99*w**3/4 + 81*w**2.
-3*w**2*(w - 3)*(w + 36)/4
Determine v so that 28*v**5 + 23760*v**4 + 7564160*v**3 + 1071464960*v**2 + 57168768000*v + 32319410176 = 0.
-212, -4/7
Factor -4*g**4 + 304*g**3 - 8064*g**2 + 82944*g - 221184.
-4*(g - 24)**3*(g - 4)
Factor -4*x**2/3 + 496*x/3 + 500/3.
-4*(x - 125)*(x + 1)/3
Determine w so that 10*w**4/3 - 3544*w**3/3 + 107222*w**2 - 1353100*w/3 + 490000/3 = 0.
2/5, 4, 175
Factor 2*w**3/9 - 1414*w**2/3 + 250160*w - 2247200/9.
2*(w - 1060)**2*(w - 1)/9
Factor -4*l**2/5 + 428*l/5 + 432/5.
-4*(l - 108)*(l + 1)/5
Find z such that -z**2 + 102*z - 200 = 0.
2, 100
Determine f, given that f**2/2 + 378*f + 71442 = 0.
-378
Let 4*g**4 + 304*g**3 + 5776*g**2 = 0. Calculate g.
-38, 0
Solve 5*i**4 + 230*i**3 + 3065*i**2 + 9660*i + 8820 = 0 for i.
-21, -2
Suppose 4*j**5 + 6512*j**4 + 3538180*j**3 + 643937192*j**2 + 1277285872*j + 636880352 = 0. What is j?
-542, -1
Find x, given that -2*x**5 + 272*x**4 - 12146*x**3 + 169556*x**2 + 376648*x + 194672 = 0.
-1, 46
Let -3*v**5 - 201*v**4 - 381*v**3 + 585*v**2 = 0. Calculate v.
-65, -3, 0, 1
Factor -4*n**3 + 36*n**2 - 60*n - 100.
-4*(n - 5)**2*(n + 1)
Determine t, given that 21*t**4/5 + 597*t**3/5 + 5292*t**2/5 + 14256*t/5 + 5184/5 = 0.
-12, -4, -3/7
Factor q**3 + 92*q**2 - 499*q - 1358.
(q - 7)*(q + 2)*(q + 97)
Factor 3*g**4/2 - 21*g**3/2 + 15*g**2.
3*g**2*(g - 5)*(g - 2)/2
Factor 4*s**2 - 208*s + 400.
4*(s - 50)*(s - 2)
Find z such that z**4/7 + 10*z**3/7 + 12*z**2/7 - 40*z/7 - 64/7 = 0.
-8, -2, 2
Determine c so that -c**2 + 472*c - 55696 = 0.
236
Suppose 10*i**3 + 2135*i**2 + 1060*i - 1065 = 0. What is i?
-213, -1, 1/2
Factor -l**2/2 + 2*l + 21/2.
-(l - 7)*(l + 3)/2
Factor -3*q**2 + 42*q - 120.
-3*(q - 10)*(q - 4)
Determine i so that 54*i**5 - 1458*i**4 - 3060*i**3 - 2068*i**2 - 578*i - 58 = 0.
-1, -1/3, 29
Determine n so that 450*n**5/7 - 2670*n**4/7 - 3172*n**3/7 - 1284*n**2/7 - 222*n/7 - 2 = 0.
-1/3, -1/5, 7
Solve 10*i**4/11 - 706*i**3/11 + 3546*i**2/11 + 6082*i/11 + 1820/11 = 0.
-1, -2/5, 7, 65
Solve -r**3/5 - 133*r**2/5 - 262*r/5 = 0.
-131, -2, 0
What is y in 2*y**3/7 + 12004*y**2/7 + 18024000*y/7 + 36000000/7 = 0?
-3000, -2
Factor 5*k**4 + 110*k**3 + 700*k**2 + 1000*k.
5*k*(k + 2)*(k + 10)**2
Factor -i**2/3 - 216*i - 34992.
-(i + 324)**2/3
Solve -3*b**3 + 228*b**2 - 1833*b + 1608 = 0 for b.
1, 8, 67
Solve 2*p**3/9 + 118*p**2/9 + 340*p/9 + 224/9 = 0.
-56, -2, -1
Let -8*t**2/3 + 4470*t - 3352/3 = 0. What is t?
1/4, 1676
Find o such that 4*o**2 + 24*o + 20 = 0.
-5, -1
Determine q so that -3*q**4 + 27*q**3 - 54*q**2 - 12*q + 72 = 0.
-1, 2, 6
Factor 18*w**4 + 840*w**3 + 554*w**2 + 92*w.
2*w*(w + 46)*(3*w + 1)**2
Find a such that 3*a**3/7 - 12*a**2/7 - 12*a/7 + 48/7 = 0.
-2, 2, 4
Let r**2/4 - 31*r/4 + 21 = 0. Calculate r.
3, 28
Suppose -4*x**2/3 - 36*x - 104/3 = 0. Calculate x.
-26, -1
Factor 5*n**2/4 - 170*n + 675/4.
5*(n - 135)*(n - 1)/4
What is u in -u**2/6 + 5*u/2 - 25/3 = 0?
5, 10
Suppose -4*j**4 + 88*j**3 - 228*j**2 - 16*j + 304 = 0. Calculate j.
-1, 2, 19
What is j in -3*j**3/5 + 132*j**2/5 - 339*j/5 - 246 = 0?
-2, 5, 41
Determine u so that -5*u**5 + 30*u**4 - 45*u**3 - 20*u**2 + 60*u = 0.
-1, 0, 2, 3
Factor u**3/4 - 41*u**2/4 + 255*u/4 + 297/4.
(u - 33)*(u - 9)*(u + 1)/4
Determine g so that g**3 - g = 0.
-1, 0, 1
Suppose -2*n**5/7 + 8*n**4/7 + 2*n**3/7 - 8*n**2/7 = 0. Calculate n.
-1, 0, 1, 4
Suppose 48*z**2 - 72*z + 27 = 0. Calculate z.
3/4
Factor 3*f**4/7 - 18*f**3/7 - 27*f**2/7 + 162*f/7.
3*f*(f - 6)*(f - 3)*(f + 3)/7
Suppose -2*t**2 + 46*t - 180 = 0. Calculate t.
5, 18
Factor -i**2/8 + 3*i/2 - 5/2.
-(i - 10)*(i - 2)/8
Factor 2*o**3/11 + 122*o**2/11 + 120*o/11.
2*o*(o + 1)*(o + 60)/11
Let s**4/4 + 127*s**3/4 + 357*s**2 + 1396*s + 1840 = 0. Calculate s.
-115, -4
Factor -4*w**4 - 12*w**3 + 24*w**2 + 112*w + 96.
-4*(w - 3)*(w + 2)**3
Let 63*g**