2*c**2 + 12778*c = 0.
0, 6389
Suppose 3*w**3/4 - 96*w**2 + 2211*w/4 - 915/2 = 0. What is w?
1, 5, 122
Factor -2*s**4 - 140*s**3 - 2494*s**2 - 2356*s.
-2*s*(s + 1)*(s + 31)*(s + 38)
Factor -3*t**3/7 + 10560*t**2/7 - 1214751*t/7 + 5075298.
-3*(t - 3402)*(t - 59)**2/7
Determine x, given that -20*x**3/11 - 766*x**2/11 + 2232*x/11 + 738/11 = 0.
-41, -3/10, 3
Solve 124*a**5/9 + 1990*a**4 + 864860*a**3/9 + 1565120*a**2 + 660480*a - 49152 = 0.
-48, -1/2, 2/31
Factor k**3/6 + 245*k**2/6 + 3647*k/6 - 3893/6.
(k - 1)*(k + 17)*(k + 229)/6
Factor -k**2/6 - 180887*k/3 - 32720106769/6.
-(k + 180887)**2/6
Factor -x**2 - 831*x + 57280.
-(x - 64)*(x + 895)
Determine h so that 4*h**4 + 4692*h**3 + 18720*h**2 + 18704*h = 0.
-1169, -2, 0
Factor -30*g**2/7 + 7983*g/7 + 32412/7.
-3*(g + 4)*(10*g - 2701)/7
Determine x, given that -2*x**4 + 296*x**3/7 - 226*x**2 + 220*x/7 = 0.
0, 1/7, 10, 11
Factor -2*u**3/15 + 6572*u**2/15.
-2*u**2*(u - 3286)/15
Find t, given that -t**5/3 + 13*t**4/3 - 59*t**3/3 + 107*t**2/3 - 20*t = 0.
0, 1, 3, 4, 5
Factor -3*d**4/7 - 75*d**3/7 - 369*d**2/7 - 513*d/7.
-3*d*(d + 3)**2*(d + 19)/7
Factor -1500*h**4 + 1400*h**3 - 400*h**2 + 32*h.
-4*h*(5*h - 2)**2*(15*h - 2)
Factor 3*n**2 - 393*n - 9576.
3*(n - 152)*(n + 21)
Suppose -q**5 - 75*q**4 + 1015*q**3 - 2505*q**2 + 1566*q = 0. What is q?
-87, 0, 1, 2, 9
Factor 3*p**3/4 + 825*p**2/4 - 1047*p + 840.
3*(p - 4)*(p - 1)*(p + 280)/4
Determine o, given that -10*o**4/9 - 2353*o**3/9 + 984*o**2 + 3103*o/9 - 956/9 = 0.
-239, -1/2, 1/5, 4
Suppose 4*q**5 - 204*q**4 + 1756*q**3 + 12156*q**2 - 16448*q - 26640 = 0. What is q?
-5, -1, 2, 18, 37
Suppose 4*g**4 - 1616*g**3 + 189588*g**2 - 5090328*g = 0. Calculate g.
0, 38, 183
Factor -2*s**2 + 50912*s - 324003968.
-2*(s - 12728)**2
Factor -3*p**3 + 531*p**2 - 23229*p - 23763.
-3*(p - 89)**2*(p + 1)
Determine p, given that -21125*p**2 + 477100*p - 2693780 = 0.
734/65
Factor -k**3/10 - 2031*k**2/5 - 56721*k/10 - 99176/5.
-(k + 7)**2*(k + 4048)/10
Find h such that -8*h**5/7 + 9090*h**4/7 + 6854*h**3/7 - 36360*h**2/7 - 27288*h/7 = 0.
-2, -3/4, 0, 2, 1137
Solve 4*i**5/7 - 80*i**4/7 - 6336*i**3/7 + 164160*i**2/7 - 43200*i = 0 for i.
-42, 0, 2, 30
Factor v**2/3 + 1165*v/3.
v*(v + 1165)/3
Factor 3*l**4 + 189*l**3 - 377910*l**2 + 62310300*l - 2985723000.
3*(l - 130)**3*(l + 453)
Factor -5*q**2 - 743885*q - 743880.
-5*(q + 1)*(q + 148776)
Determine f, given that -2*f**5 - 186*f**4 - 1020*f**3 + 2228*f**2 + 12030*f - 13050 = 0.
-87, -5, 1, 3
Find d such that 3*d**4 + 2571*d**3 + 549549*d**2 - 552123*d = 0.
-429, 0, 1
Factor -2*i**2/7 + 424764*i/7 - 22553056962/7.
-2*(i - 106191)**2/7
Factor z**2/5 + 532352*z/5 + 212940.
(z + 2)*(z + 532350)/5
Find k such that -5*k**4 + 50*k**3 + 1835*k**2 - 3800*k + 1920 = 0.
-16, 1, 24
Factor 16*r**2 + 20890*r - 7836.
2*(r + 1306)*(8*r - 3)
Factor -5*g**4 + 1935*g**3 - 190080*g**2 + 552960*g.
-5*g*(g - 192)**2*(g - 3)
Factor 2*j**2/9 + 1516*j/3 + 4546/9.
2*(j + 1)*(j + 2273)/9
Suppose 5*q**2 - 76680*q + 1608075 = 0. What is q?
21, 15315
What is u in -12*u**3 - 101152*u**2/3 + 123676*u/3 - 7496 = 0?
-2811, 2/9, 1
Solve -y**5 - 419*y**4 + 1266*y**3 - 4*y**2 - 1688*y = 0 for y.
-422, -1, 0, 2
Factor 4*b**4 + 8*b**3 - 108*b**2 + 432.
4*(b - 3)**2*(b + 2)*(b + 6)
Factor 3*t**3/7 - 8826*t**2/7 + 35268*t/7 - 35256/7.
3*(t - 2938)*(t - 2)**2/7
Let -4*p**4 + 1084*p**3 - 93740*p**2 + 2518772*p = 0. What is p?
0, 53, 109
Factor -3*z**2 + 1929252*z - 310167773292.
-3*(z - 321542)**2
Let -f**2/3 - 524762*f/3 - 68843789161/3 = 0. What is f?
-262381
Solve 2*x**3/7 + 974*x**2/7 + 105624*x/7 = 0.
-324, -163, 0
Factor 4*j**3 - 13992*j**2 - 56016*j - 56032.
4*(j - 3502)*(j + 2)**2
Solve 9*z**5/4 + 147*z**4/4 + 173*z**3/2 - 165*z**2 - 294*z - 104 = 0.
-13, -4, -2/3, 2
Find h, given that h**3/2 + 37*h**2/2 - 6919*h + 6900 = 0.
-138, 1, 100
Solve -801*r**2/5 - 5127*r - 96/5 = 0 for r.
-32, -1/267
Let 3*d**2/5 + 987*d/5 + 75762/5 = 0. What is d?
-207, -122
Factor -n**3/6 - 205*n**2/6 + 1467*n/2 - 7425/2.
-(n - 11)*(n - 9)*(n + 225)/6
Let 2*w**5/9 - 530*w**4/3 - 1592*w**3/9 = 0. Calculate w.
-1, 0, 796
Factor 2*a**2/7 + 6862*a/7.
2*a*(a + 3431)/7
Suppose 4*u**3/7 + 940*u**2/7 - 1964*u + 6972 = 0. Calculate u.
-249, 7
Factor 2*w**2 - 426*w - 248900.
2*(w - 475)*(w + 262)
Suppose 2*y**4 - 1144*y**3 + 96392*y**2 + 19219200*y + 564480000 = 0. Calculate y.
-50, 336
Solve -2*z**5/11 - 858*z**4 - 9430*z**3/11 + 28318*z**2/11 + 47184*z/11 + 18872/11 = 0.
-4718, -1, 2
Factor 2*c**3 + 15010*c**2 - 2*c - 15010.
2*(c - 1)*(c + 1)*(c + 7505)
Factor 95*c**3 - 199680*c**2 - 21020*c.
5*c*(c - 2102)*(19*c + 2)
Determine d, given that 100*d**5 - 1085*d**4 + 335*d**3 + 4775*d**2 + 3705*d + 450 = 0.
-1, -3/20, 3, 10
Factor -4*p**3 - 596*p**2 + 3720*p.
-4*p*(p - 6)*(p + 155)
Suppose 5*x**3 + 30335*x**2 + 46116600*x + 321331500 = 0. What is x?
-3030, -7
Find u such that -u**5 + 561*u**4 - 100454*u**3 + 5515112*u**2 + 17256960*u + 11640832 = 0.
-2, -1, 116, 224
Let -3*a**5 + 585*a**4/7 + 3*a**3 - 585*a**2/7 = 0. What is a?
-1, 0, 1, 195/7
Determine f so that 4*f**4 + 828*f**3 + 6368*f**2 = 0.
-199, -8, 0
Factor o**4/7 - 60*o**3/7 + 228*o**2/7 - 32*o.
o*(o - 56)*(o - 2)**2/7
Suppose h**3 + 20*h**2 - 27*h - 126 = 0. Calculate h.
-21, -2, 3
Factor 3*u**2/4 - 51*u/2 - 3021/4.
3*(u - 53)*(u + 19)/4
Solve 2*z**3/5 + 2142*z**2/5 - 370656*z/5 + 14930136/5 = 0 for z.
-1227, 78
Suppose -25*s**5 + 4105*s**4 - 168899*s**3 + 30167*s**2 + 142680*s - 60516 = 0. What is s?
-1, 3/5, 82
Suppose 3*g**4/7 + 1752*g**3/7 - 28569*g**2/7 + 19758*g - 25200 = 0. Calculate g.
-600, 2, 7
Find d such that -3*d**2/2 + 240*d - 8250 = 0.
50, 110
Solve o**2/3 + 10600*o/3 + 28090000/3 = 0.
-5300
Factor -10*p**3 + 197*p**2 - 130*p - 57.
-(p - 19)*(p - 1)*(10*p + 3)
Determine i, given that 5*i**2 - 84195*i + 84190 = 0.
1, 16838
Determine l so that l**3 - 71*l**2 - 25020*l - 24948 = 0.
-126, -1, 198
Factor -2*t**2/11 + 456*t/11 - 454/11.
-2*(t - 227)*(t - 1)/11
What is h in 3*h**3/5 + 3711*h**2/5 - 56262*h/5 + 97656/5 = 0?
-1252, 2, 13
Let -2*l**2 + 2359348*l - 695815373138 = 0. Calculate l.
589837
Solve -98*y**2 + 395640*y - 399313800 = 0 for y.
14130/7
Factor 5*j**4/3 + 494590*j**3/3 + 4077317515*j**2 + 48921875260*j/3 + 48919896980/3.
5*(j + 2)**2*(j + 49457)**2/3
Factor -s**3/7 + 396*s**2/7 - 1572*s/7 + 224.
-(s - 392)*(s - 2)**2/7
Determine y so that y**2/4 + 505*y/4 - 4437/2 = 0.
-522, 17
What is t in 121*t**5/3 + 1958*t**4 + 80507*t**3/3 + 114226*t**2 - 50388*t - 603432 = 0?
-29, -102/11, -3, 2
Let -3*c**2 + 49617*c + 446796 = 0. Calculate c.
-9, 16548
Solve -2*f**2/5 - 95284*f/5 - 1134880082/5 = 0.
-23821
Suppose -4*w**3 - 5148*w**2 - 1638204*w + 11721052 = 0. What is w?
-647, 7
Suppose 2*s**5 + 12908*s**4 - 206914*s**3 + 815252*s**2 + 206912*s - 828160 = 0. What is s?
-6470, -1, 1, 8
Suppose -6*l**5/5 + 652*l**4/5 + 11226*l**3/5 + 22576*l**2/5 - 888*l/5 - 12896/5 = 0. What is l?
-13, -2, -1, 2/3, 124
Determine p so that -125*p**3/4 - 775*p**2/2 + 680*p - 280 = 0.
-14, 4/5
Factor g**2/2 - 2404*g + 4807/2.
(g - 4807)*(g - 1)/2
What is y in -3*y**4/8 - 459*y**3/2 - 186777*y**2/4 - 6343995*y/2 - 25004259/8 = 0?
-217, -177, -1
Find u, given that -u**4/5 + 434*u**3/5 + 3077*u**2/5 + 882*u = 0.
-5, -2, 0, 441
Solve g**3/2 - 32*g**2 + 455*g/2 - 196 = 0.
1, 7, 56
Factor 4*b**2 - 254992*b + 4063807504.
4*(b - 31874)**2
Find u such that 9*u**5 + 505457*u**4 + 7096826887*u**3 - 788542561*u**2 = 0.
-28081, 0, 1/9
Let -5*k**5/3 - 602*k**4/3 + 985*k**3/3 + 1090*k**2/3 - 980*k/3 - 488/3 = 0. What is k?
-122, -1, -2/5, 1, 2
Solve -69*m**5/2 + 109*m**4/2 + 2747*m**3/2 + 6103*m**2/2 + 1083*m + 72 = 0.
-3, -1/3, -2/23, 8
Find f such that f**3 - 322*f**2 + 7504*f + 56832 = 0.
-6, 32, 296
Factor 64*v**3 - 33824*v**2 + 4383236*v + 22769780.
4*(v + 5)*(4*v - 1067)**2
What is z in 5*z**2 + 109515*z + 328500 = 0?
-21900, -3
Suppose -14*c**2 + 1378758*c + 393932 = 0. What is c?
-2/7, 98483
Let -4*h**3 - 60236*h**2 - 180672*h = 0. Calculate h.
-15056, -3, 0
Determine m so that m**4 - 447*m**3 - 1801*m**2 - 1353*m = 0.
-3, -1, 0, 451
Determine a so that 32*a**3 - 356560*a**2 - 534894*a - 200592 = 0.
-3/4, 11144
Find t, given that 5*t**4 - 6110*t**3 - 12345*t**2 + 128610*t - 110160 = 0.
-6, 1, 3, 1224
Suppose -15*w**4 + 110210*w**3 - 20