371468.
2*(g + 6)*(g + 3983)**2
Factor -l**4/6 + 20*l**3/3 - 88*l**2 + 1408*l/3 - 2560/3.
-(l - 20)*(l - 8)**2*(l - 4)/6
Factor 4*w**2/7 - 2996*w - 20976/7.
4*(w - 5244)*(w + 1)/7
Suppose -j**4/3 - 2678*j**3/3 + 7163*j**2 + 2678*j/3 - 21488/3 = 0. Calculate j.
-2686, -1, 1, 8
Suppose -5*r**4 + 485*r**3 + 293530*r**2 + 293040*r = 0. Calculate r.
-198, -1, 0, 296
Factor 7*a**2/5 - 1843*a/5 - 636.
(a - 265)*(7*a + 12)/5
Find k such that -27*k**2 + 690*k + 717 = 0.
-1, 239/9
Factor -2*k**3 + 52*k**2 + 3894*k.
-2*k*(k - 59)*(k + 33)
Factor 69*y**2/4 - 273*y + 477.
3*(y - 2)*(23*y - 318)/4
Suppose 2*g**3/17 + 18*g**2/17 - 554*g/17 - 330 = 0. Calculate g.
-15, -11, 17
Factor 2*t**3/5 + 8598*t**2/5 + 3438*t + 8594/5.
2*(t + 1)**2*(t + 4297)/5
Let r**2/4 - 117*r/2 - 7498 = 0. What is r?
-92, 326
Determine c, given that 2*c**4 - 142*c**3 + 1312*c**2 + 568*c - 5280 = 0.
-2, 2, 11, 60
Determine l, given that -20*l**4 + 12520*l**3 + 63415*l**2 - 197145*l - 1022220 = 0.
-9/2, 4, 631
Let 12*c**5 + 3076*c**4 - 8276*c**3 + 3116*c**2 + 2072*c = 0. What is c?
-259, -1/3, 0, 1, 2
Factor -17*s**2/2 - 66*s - 91/2.
-(s + 7)*(17*s + 13)/2
Factor 5*z**2 - 39530*z + 197525.
5*(z - 7901)*(z - 5)
Solve -4*h**5 - 212*h**4 + 5528*h**3 - 22632*h**2 + 11052*h + 39420 = 0 for h.
-73, -1, 3, 15
Find w such that w**3/3 + 24371*w**2/3 - 170636*w/3 + 81260 = 0.
-24378, 2, 5
Suppose 2*q**5/7 - 274*q**4 + 464612*q**3/7 - 2288652*q**2/7 + 3191130*q/7 - 1365174/7 = 0. What is q?
1, 3, 477
Find l such that -2*l**4/15 - 46*l**3/5 - 208*l**2/5 + 1048*l/15 + 512/5 = 0.
-64, -6, -1, 2
Factor -5*s**2/2 - 869*s + 9308.
-(s + 358)*(5*s - 52)/2
Find r, given that -10*r**3 - 11805*r**2 - 64670*r - 52875 = 0.
-1175, -9/2, -1
Factor -n**5/7 - 122*n**4/7 - 1368*n**3/7 - 5344*n**2/7 - 7040*n/7.
-n*(n + 4)**3*(n + 110)/7
Solve 4*g**2/5 + 3412*g/5 + 8736 = 0.
-840, -13
Factor 2*h**4 + 244*h**3 + 2290*h**2 + 5600*h.
2*h*(h + 5)**2*(h + 112)
Factor 214*q**2 + 859*q + 12.
(q + 4)*(214*q + 3)
Find q such that -2*q**4/3 - 2480*q**3/3 - 771148*q**2/3 - 1376656*q/3 + 16092762 = 0.
-619, -9, 7
Suppose -2*v**3/5 - 2364*v**2 + 452048*v/5 = 0. What is v?
-5948, 0, 38
Find v such that 4*v**4 - 10164*v**3/5 + 11932*v**2/5 + 23940*v - 24336/5 = 0.
-3, 1/5, 4, 507
Find l such that 4*l**3 - 676*l**2 - 7060*l - 17900 = 0.
-5, 179
Factor 2*m**2/9 - 916*m + 106834/9.
2*(m - 4109)*(m - 13)/9
Suppose -w**2 + 762734*w - 145440788689 = 0. What is w?
381367
Solve -2900*g**4/3 + 8558*g**3/3 - 1790*g**2 - 296*g/3 + 8/3 = 0.
-2/29, 1/50, 1, 2
Determine j so that 39*j**4 + 1764*j**3 + 2091*j**2 - 954*j - 1320 = 0.
-44, -1, 10/13
Factor -3*d**2/2 + 4365*d/2 - 2181.
-3*(d - 1454)*(d - 1)/2
Suppose 6*q**3/7 + 1015809*q**2/7 - 1523724*q/7 + 507909/7 = 0. Calculate q.
-169303, 1/2, 1
Solve -4*g**2 - 20*g + 96 = 0.
-8, 3
Factor -2*n**2 - 1846268*n - 426088190978.
-2*(n + 461567)**2
Solve -2*c**5/5 - 66*c**4/5 - 724*c**3/5 - 424*c**2 + 2160*c + 11200 = 0 for c.
-10, -7, 4
Factor 2*a**2 + 32448*a + 64888.
2*(a + 2)*(a + 16222)
Let -72*a**5 + 4310*a**4 - 72264*a**3 + 231800*a**2 - 192192*a - 31360 = 0. What is a?
-5/36, 2, 28
Factor -r**2/8 + 484793*r/4 - 235024252849/8.
-(r - 484793)**2/8
Let 147*c**2 + 383250*c + 249796875 = 0. Calculate c.
-9125/7
Factor 2*q**2/7 + 86536*q/7 + 936059912/7.
2*(q + 21634)**2/7
Let x**3 - 249*x**2 - 501*x - 251 = 0. What is x?
-1, 251
Find x, given that -4*x**3 - 525*x**2 - 2628*x + 2268 = 0.
-126, -6, 3/4
Suppose 160*t**5 - 1740*t**4 - 395*t**3 + 1905*t**2 + 235*t - 165 = 0. What is t?
-1, -3/8, 1/4, 1, 11
Factor 5*a**3/3 + 25942*a**2/3 - 145444*a/3 - 20776.
(a - 6)*(a + 5194)*(5*a + 2)/3
Factor -6*f**4/5 - 276*f**3 + 4194*f**2/5.
-6*f**2*(f - 3)*(f + 233)/5
Find o, given that -5*o**2/2 - 22885*o + 45775/2 = 0.
-9155, 1
Let 2*n**3/11 - 165758*n**2/11 + 3434381440*n/11 + 3434547200/11 = 0. Calculate n.
-1, 41440
Factor 2*a**2/7 + 7282*a/7 + 79860/7.
2*(a + 11)*(a + 3630)/7
Suppose -3*h**4/4 + 27*h**3/4 + 4005*h**2/4 + 40641*h/4 - 48735/2 = 0. What is h?
-19, 2, 45
Factor k**4 - 30*k**3 - 573*k**2 + 602*k.
k*(k - 43)*(k - 1)*(k + 14)
Solve -2*u**5 - 5846*u**4 - 5703726*u**3 - 1865056130*u**2 - 7369338536*u = 0 for u.
-973, -4, 0
Suppose p**5/4 + 37*p**4/2 - 657*p**3/4 - 7*p**2/2 + 1373*p - 1722 = 0. Calculate p.
-82, -3, 2, 7
What is u in -3*u**5/2 - 57*u**4/2 - 417*u**3/2 - 1443*u**2/2 - 1140*u - 600 = 0?
-5, -4, -1
Find r such that -r**2 + 5253*r - 26240 = 0.
5, 5248
Find k, given that 2*k**5/13 + 2952*k**4/13 + 1095158*k**3/13 + 4318848*k**2/13 - 5416960*k/13 = 0.
-736, -5, 0, 1
Factor f**3/2 + 9*f**2/2 - 71*f + 180.
(f - 5)*(f - 4)*(f + 18)/2
Determine x, given that 2*x**2 + 74*x + 420 = 0.
-30, -7
Let 4*b**3 - 6740*b**2/3 - 29384*b/3 - 9056 = 0. Calculate b.
-3, -4/3, 566
Suppose -a**5/8 + 27*a**4/8 + 11*a**3 + 15*a**2/2 = 0. Calculate a.
-2, -1, 0, 30
Suppose -b**2 - 979912*b - 240056881936 = 0. Calculate b.
-489956
Let -6*b**5/5 - 10*b**4 + 1836*b**3/5 + 648*b**2/5 - 1232*b/5 = 0. What is b?
-22, -1, 0, 2/3, 14
Factor -h**2/2 + 4507*h/2 - 4505.
-(h - 4505)*(h - 2)/2
Factor -147*h**5 + 9492*h**4 - 155916*h**3 + 86784*h**2 - 12288*h.
-3*h*(h - 32)**2*(7*h - 2)**2
Suppose -l**2/5 + 63*l - 1244/5 = 0. What is l?
4, 311
Factor 9*j**2 + 358670*j + 79704.
(j + 39852)*(9*j + 2)
Suppose 2*g**4/3 + 124*g**3/3 - 818*g**2/3 - 124*g/3 + 272 = 0. What is g?
-68, -1, 1, 6
Let -2*s**2 - 92944*s - 1079823392 = 0. What is s?
-23236
Determine p, given that -2*p**2/9 + 52244*p/3 - 156730/9 = 0.
1, 78365
Factor -3*s**2 + 32043*s + 64098.
-3*(s - 10683)*(s + 2)
Factor 4*i**2 - 10200*i.
4*i*(i - 2550)
Factor d**3 - 3921*d**2 - 19636*d + 23556.
(d - 3926)*(d - 1)*(d + 6)
Suppose 189*u**5 - 13239*u**4/5 + 2550*u**3 - 4578*u**2/5 + 141*u - 39/5 = 0. What is u?
1/7, 1/5, 1/3, 13
Solve -324*y**5/5 - 510156*y**4/5 + 3812816*y**3/5 - 938880*y**2 + 1543936*y/5 - 151872/5 = 0 for y.
-1582, 2/9, 1, 6
Factor -z**3 - 1317*z**2 - 1314*z + 2632.
-(z - 1)*(z + 2)*(z + 1316)
Find z, given that 2*z**5 - 68*z**4 - 340*z**3 + 1408*z**2 - 1534*z + 532 = 0.
-7, 1, 38
What is w in 5*w**4 + 790*w**3 - 46560*w**2 + 593280*w = 0?
-206, 0, 24
Factor -2*u**3/13 - 5646*u**2/13 - 41454*u - 13085450/13.
-2*(u + 49)**2*(u + 2725)/13
Factor -2*o**2 + 762*o - 10980.
-2*(o - 366)*(o - 15)
Factor -270*o**4 + 20547*o**3 - 20457*o**2/2 + 6809*o/4 - 189/2.
-(5*o - 378)*(6*o - 1)**3/4
Determine t so that 6*t**5/19 + 2086*t**4/19 + 7590*t**3/19 + 7570*t**2/19 + 36*t - 1376/19 = 0.
-344, -2, -1, 1/3
Factor -2*u**2/13 + 310*u/13 - 1500/13.
-2*(u - 150)*(u - 5)/13
Factor 141*o**4 + 2111*o**3 + 10515*o**2 + 17325*o - 500.
(o + 5)**3*(141*o - 4)
Suppose -4*z**4/9 + 4194*z**3 - 18872*z**2/9 = 0. What is z?
0, 1/2, 9436
Factor 2*t**2/9 + 916*t/3 - 53040.
2*(t - 156)*(t + 1530)/9
Factor -5*o**2 + 5090*o - 25325.
-5*(o - 1013)*(o - 5)
What is v in -v**4/2 + 17723*v**3 + 35447*v**2/2 = 0?
-1, 0, 35447
Let v**2 - 889*v + 20760 = 0. What is v?
24, 865
Factor y**3/2 - 375*y**2/2 + 31979*y/2 - 31605/2.
(y - 245)*(y - 129)*(y - 1)/2
Factor -2466*g**2 + 345243*g/4 - 105/4.
-3*(g - 35)*(3288*g - 1)/4
Suppose -a**5/3 - 701*a**4/3 + 18761*a**3/3 - 102871*a**2/3 - 264824*a/3 - 142492/3 = 0. Calculate a.
-727, -1, 14
Suppose -10*r**4 + 54*r**3 + 4932*r**2 + 42440*r + 85200 = 0. What is r?
-10, -3, 142/5
Find s, given that -2665729443*s**2 + 536562*s - 27 = 0.
3/29809
Solve 3*l**3/4 - 1281*l**2/2 + 16182*l - 29808 = 0.
2, 24, 828
Solve f**2/7 + 2291*f/7 + 9148/7 = 0.
-2287, -4
Let -2*o**5 + 258*o**4/7 - 926*o**3/7 + 114*o**2 + 220*o/7 - 48 = 0. Calculate o.
-4/7, 1, 3, 14
Factor -58*r**2/9 + 177700*r/9 + 12256/3.
-2*(r - 3064)*(29*r + 6)/9
Solve -3*w**2 + 1014*w + 3069 = 0 for w.
-3, 341
Determine p so that 2*p**2/9 - 16*p/3 = 0.
0, 24
What is p in -2*p**3/5 - 5254*p**2/5 - 887686*p/5 - 38797058/5 = 0?
-2449, -89
Let y**3/9 - 296*y**2/3 - 2441*y + 8208 = 0. What is y?
-27, 3, 912
Factor 4*q**2 - 35412*q.
4*q*(q - 8853)
Solve 2*h**4/3 - 154*h**3/3 + 2744*h**2/3 = 0.
0, 28, 49
Find m, given that -m**3 + 5222*m**2 - 10441*m + 5220 = 0.
1, 5220
Let 2*a**2 - 1300*a + 195408 = 0. Calculate a.
236, 414
Factor -3*i**3/5 - 274226*i**2/5 - 6266749664*i/5 - 4177711232/5.
-(i + 45704)**2*(3*i + 2)/5
Find g such that 4*g**4 + 3520*g**3 - 64524*g**2 + 118472*g - 57472 = 0.
-898, 1, 16
Let