Factor -2*y**2/9 + 188*y/3 + 582.
-2*(y - 291)*(y + 9)/9
Factor 2*n**2/3 - 39568*n + 587109984.
2*(n - 29676)**2/3
Solve -55*p**2 + 8785*p + 2400 = 0.
-3/11, 160
Find r, given that -2*r**5 - 352*r**4 + 6792*r**3 - 36964*r**2 + 54970*r - 24444 = 0.
-194, 1, 7, 9
Find t such that -5*t**4 - 162155*t**3 - 486435*t**2 - 486425*t - 162140 = 0.
-32428, -1
Determine t, given that t**3/7 - 2031*t**2/7 - 134212*t/7 + 276540/7 = 0.
-66, 2, 2095
What is x in 4*x**3 - 444*x**2 + 11696*x = 0?
0, 43, 68
Factor 4*i**2/5 + 564076*i/5.
4*i*(i + 141019)/5
Find t, given that -2*t**3/7 - 299652*t**2 - 549973939320*t/7 - 1099939488400/7 = 0.
-524390, -2
Let -2*w**3 - 82*w**2 + 7850*w - 113750 = 0. What is w?
-91, 25
Suppose i**3 + 334*i**2 - 671*i + 336 = 0. Calculate i.
-336, 1
Find g such that 5*g**2 + 2215*g + 2210 = 0.
-442, -1
Let 95*o**2 - 8855*o + 1860 = 0. Calculate o.
4/19, 93
Factor -3*b**3 + 2001*b**2 - 326553*b - 2384949.
-3*(b - 337)**2*(b + 7)
What is i in 2*i**3 - 322*i**2 + 4696*i - 8120 = 0?
2, 14, 145
Solve 3*p**2 - 3648*p + 46917 = 0.
13, 1203
What is u in 24*u**3 - 1363*u**2/3 - 95*u/3 = 0?
-5/72, 0, 19
Factor -2*r**2 + 4844*r - 4842.
-2*(r - 2421)*(r - 1)
Suppose -4*z**2/7 - 552*z/7 + 16300/7 = 0. What is z?
-163, 25
Suppose -y**3/6 - 4016*y**2/3 + 24123*y/2 = 0. What is y?
-8041, 0, 9
Factor w**5 - 843*w**4 + 7506*w**3.
w**3*(w - 834)*(w - 9)
What is s in 20453004196*s**2 - 11441120*s + 1600 = 0?
20/71507
Factor -5*r**2/2 + 21115*r/2 - 115830.
-5*(r - 4212)*(r - 11)/2
Factor 4*w**2 + 58228*w + 1221024.
4*(w + 21)*(w + 14536)
Find o, given that -9*o**2 + 22821*o/4 + 951/2 = 0.
-1/12, 634
Factor -s**2/3 - 220*s/3 + 1589/3.
-(s - 7)*(s + 227)/3
Determine y so that -2*y**4 - 714*y**3 - 24802*y**2 + 7841514*y + 7865604 = 0.
-219, -1, 82
Factor -z**2/3 - 707*z/3 + 79348.
-(z - 249)*(z + 956)/3
Factor -p**3/3 + 431*p**2/3 - 46655*p/3 + 46225/3.
-(p - 215)**2*(p - 1)/3
Factor 2*q**2/7 - 8110*q + 113532/7.
2*(q - 28383)*(q - 2)/7
Factor d**2/2 - 203*d - 407/2.
(d - 407)*(d + 1)/2
Factor 2*o**3 - 108*o**2 - 2738*o - 2628.
2*(o - 73)*(o + 1)*(o + 18)
Suppose 2*i**3 - 2776*i**2 - 11136*i = 0. Calculate i.
-4, 0, 1392
Find f such that -f**4 + 137*f**3 + 12401*f**2 - 12537*f = 0.
-63, 0, 1, 199
Factor -4*u**3 + 8428*u**2 + 394036*u + 4555748.
-4*(u - 2153)*(u + 23)**2
Factor 3*t**4 + 342*t**3 - 360*t**2 - 1734*t - 1035.
3*(t - 3)*(t + 1)**2*(t + 115)
Suppose -v**3 - 2858*v**2 - 2067520*v - 36295200 = 0. What is v?
-1420, -18
Find x such that -5*x**2 - 2175370*x - 236611731845 = 0.
-217537
Factor 2*q**2/11 + 1684*q/11 + 215090/11.
2*(q + 157)*(q + 685)/11
Determine z so that -2*z**5/7 - 8566*z**4/7 + 17140*z**3/7 - 4*z**2/7 - 17138*z/7 + 8570/7 = 0.
-4285, -1, 1
Find a, given that 2*a**3 - 425562*a**2 + 22637664198*a + 22638089762 = 0.
-1, 106391
Determine p so that 18*p**5 + 9213*p**4/7 - 25791*p**3/7 + 10992*p**2/7 + 780*p = 0.
-455/6, -2/7, 0, 1, 2
Determine r so that 2*r**5/9 - 170*r**4/9 + 874*r**3/3 + 9442*r**2/9 + 704*r/9 - 1400 = 0.
-2, 1, 25, 63
Factor 3*h**2/2 + 3414*h + 1942566.
3*(h + 1138)**2/2
Let 9*y**4/2 + 767*y**3/2 + 2218*y**2 + 474*y = 0. Calculate y.
-79, -6, -2/9, 0
Factor -5*k**3/4 - 5003*k**2 - 20028009*k/4 - 4004001/2.
-(k + 2001)**2*(5*k + 2)/4
Solve 967*h**3 - 146983*h**2 - 152*h = 0 for h.
-1/967, 0, 152
Factor -a**3/10 - 239*a**2/10 - 200*a + 1610.
-(a - 5)*(a + 14)*(a + 230)/10
Let -5*u**2 + 5741230*u - 1648086095645 = 0. Calculate u.
574123
Let 2*c**2/5 + 27796*c/5 - 27806 = 0. What is c?
-13903, 5
Solve -2216*g**2/13 - 2270*g/13 - 54/13 = 0.
-1, -27/1108
What is h in 2*h**4 + 3602*h**3 + 1616388*h**2 - 4874408*h + 3254416 = 0?
-902, 1, 2
Factor 2*l**2/19 + 2538*l/19 + 5068/19.
2*(l + 2)*(l + 1267)/19
Factor 3*u**2/2 + 3238557*u + 3496083814083/2.
3*(u + 1079519)**2/2
Find l, given that 2*l**2/3 + 1897048*l/3 = 0.
-948524, 0
Let 15*t**2 - 65*t - 190 = 0. What is t?
-2, 19/3
Find j, given that -3*j**2 - 554874*j - 25657096323 = 0.
-92479
Suppose 2*i**3 + 780578*i**2 + 76163142048*i + 76162361472 = 0. What is i?
-195144, -1
Find l, given that -2*l**2/15 - 11110*l/3 + 166704/5 = 0.
-27784, 9
Find l, given that 3*l**4/4 - 1872*l**3 - 201633*l**2/2 - 1290978*l + 5574663/4 = 0.
-27, 1, 2549
Determine d, given that -3*d**3/5 - 4713*d**2/5 + 28386*d/5 = 0.
-1577, 0, 6
Find n such that n**2/4 + 7741*n/2 + 46410 = 0.
-15470, -12
Let r**3 + 10326*r**2 + 26656569*r = 0. What is r?
-5163, 0
Suppose -i**2 + 258207*i = 0. Calculate i.
0, 258207
Find u such that 2*u**3 + 4796*u**2 + 28722*u + 43056 = 0.
-2392, -3
Solve -6*w**4 + 45530*w**3/11 - 38570*w**2/11 - 9650*w/11 + 2756/11 = 0.
-1/3, 2/11, 1, 689
Suppose 2*o**3/5 - 1104*o**2/5 + 6354*o + 38379572/5 = 0. What is o?
-154, 353
Find o, given that 3*o**5 - 932*o**4 + 1505*o**3 + 12380*o**2 - 6068*o - 34608 = 0.
-7/3, -2, 2, 4, 309
Solve 2*p**4/3 - 916*p**3/3 - 2762*p**2/3 - 1844*p/3 = 0 for p.
-2, -1, 0, 461
Factor -2*p**3/7 + 614*p**2/7 - 6720*p.
-2*p*(p - 160)*(p - 147)/7
Factor j**3 + 10422*j**2 - 125172*j + 375624.
(j - 6)**2*(j + 10434)
Solve 3*f**4/4 - 255*f**3/4 + 4011*f**2/4 - 7269*f/4 + 1755/2 = 0.
1, 18, 65
Factor w**5/2 - 3579*w**4.
w**4*(w - 7158)/2
Let -4*a**5/5 - 15*a**4 - 242*a**3/5 + 987*a**2/5 - 18*a/5 - 648/5 = 0. What is a?
-12, -9, -3/4, 1, 2
Determine c so that -4*c**5/3 + 268*c**4/3 + 2488*c**3 - 518896*c**2/3 + 7967008*c/3 - 12819968 = 0.
-48, 14, 73
Factor 2*a**3/3 - 546*a**2 - 11564*a/3.
2*a*(a - 826)*(a + 7)/3
Solve 9*o**3/4 + 1129*o**2/4 + 8155*o - 13377 = 0.
-78, -49, 14/9
Suppose 2*k**5/5 + 846*k**4/5 + 30638*k**3/5 - 846*k**2/5 - 6128*k = 0. Calculate k.
-383, -40, -1, 0, 1
Determine l so that 2*l**4/11 + 240*l**3/11 + 842*l**2 + 115008*l/11 + 105984/11 = 0.
-48, -23, -1
Let 20*a**4 + 926*a**3 - 2664*a**2 - 882*a = 0. Calculate a.
-49, -3/10, 0, 3
Factor z**4/3 + 9*z**3 + 146*z**2/3 + 40*z.
z*(z + 1)*(z + 6)*(z + 20)/3
Factor -4*a**3/7 + 233556*a**2/7 - 3409158540*a/7 - 3409392100/7.
-4*(a - 29195)**2*(a + 1)/7
Factor 5*x**3 + 555*x**2 - 10970*x - 11520.
5*(x - 18)*(x + 1)*(x + 128)
What is i in 4*i**3 + 192*i**2 + 2304*i = 0?
-24, 0
Factor -r**2 + 8012*r - 8011.
-(r - 8011)*(r - 1)
Suppose 3*y**4/7 - 282*y**3/7 + 5451*y**2/7 - 10068*y/7 + 4896/7 = 0. What is y?
1, 24, 68
Suppose -2*y**2/9 - 205540*y - 47527528050 = 0. What is y?
-462465
What is y in -y**5/4 + 135*y**4/4 - 729*y**3 = 0?
0, 27, 108
Find q such that 2*q**5 - 10088*q**4 - 30294*q**3 + 60548*q**2 + 80752*q = 0.
-4, -1, 0, 2, 5047
Factor -2*r**2/13 + 7770*r/13 + 38900/13.
-2*(r - 3890)*(r + 5)/13
Suppose -2*b**5/3 - 142*b**4/3 - 2462*b**3/3 + 1242*b**2 + 20088*b - 45288 = 0. Calculate b.
-37, -34, -6, 3
Factor r**5 + 88*r**4 - 12*r**3 - 1072*r**2 - 1408*r.
r*(r - 4)*(r + 2)**2*(r + 88)
Factor t**2/4 - 382156*t + 146043208336.
(t - 764312)**2/4
Factor -u**3/2 + 36475*u**2/2 - 332624643*u/2 + 332588169/2.
-(u - 18237)**2*(u - 1)/2
Solve 3*w**2/5 + 149927*w/5 - 49976/5 = 0.
-49976, 1/3
Factor b**4/3 + 30910*b**3/3 + 238454857*b**2/3 - 2071835480*b + 13478258352.
(b - 13)**2*(b + 15468)**2/3
Factor -i**2/4 + 603*i/4 - 7163.
-(i - 551)*(i - 52)/4
Determine h, given that -36*h**3/7 - 3424116*h**2/7 + 326108*h - 380460/7 = 0.
-95115, 1/3
What is w in w**2/6 + 2017*w - 12104/3 = 0?
-12104, 2
Factor -5*v**3 - 200*v**2 + 1645*v.
-5*v*(v - 7)*(v + 47)
Factor 2*b**3/9 + 33776*b**2 + 3850463992*b/3 + 46200704288/9.
2*(b + 4)*(b + 75994)**2/9
Factor -699*j**3 + 6996*j**2/5 - 12*j/5.
-3*j*(j - 2)*(1165*j - 2)/5
Factor -2*c**3/9 + 1088*c**2/9 - 4712*c - 3638880.
-2*(c - 342)**2*(c + 140)/9
Suppose 2*q**4/23 - 2052*q**3/23 + 2034*q**2/23 + 16424*q/23 - 24600/23 = 0. What is q?
-3, 2, 1025
Factor z**3 + 2688*z**2 + 69381*z + 449878.
(z + 13)**2*(z + 2662)
Find c, given that 3*c**3/4 + 6987*c**2/2 + 4064685*c - 8143350 = 0.
-2330, 2
Factor -g**4/8 - 32427*g**3/4 + 129711*g**2/8 - 8107*g.
-g*(g - 1)**2*(g + 64856)/8
Suppose -12100*c**5 + 1429340*c**4 - 173464*c**3 - 971904*c**2 - 271872*c = 0. What is c?
-24/55, 0, 1, 118
Factor -q**2 - 26382*q + 26383.
-(q - 1)*(q + 26383)
Determine j so that 225*j**5/2 - 31080*j**4 + 4109089*j**3/2 + 12873453*j**2 - 3542202*j + 238572 = 0.
-6, 2/15, 141
Factor -2*k**2 - 2720*k - 45662.
-2*(k + 17)*(k + 1343)
Find o such that -3*o**5 - 156*o**4 - 1575*o**3 - 1626*o**2 + 18336*o - 1