
Find g, given that g**5 + 53*g**4 - 609*g**3 + 1323*g**2 = 0.
-63, 0, 3, 7
Let j**3/2 + 2899*j**2 + 5796*j = 0. What is j?
-5796, -2, 0
Factor -5*b**3 + 1575*b**2 - 16860*b + 42560.
-5*(b - 304)*(b - 7)*(b - 4)
Factor 8*g**2 - 326510*g - 81628.
2*(g - 40814)*(4*g + 1)
Solve -3*t**2 + 158466*t = 0.
0, 52822
Factor -5*g**3 + 255*g**2 + 9630*g - 9880.
-5*(g - 76)*(g - 1)*(g + 26)
Let -5*n**4 + 45*n**3 + 3995*n**2 - 24405*n - 28350 = 0. Calculate n.
-27, -1, 7, 30
Factor 3*a**2 - 3210*a + 195975.
3*(a - 1005)*(a - 65)
Determine d, given that -2*d**2 - 2510*d - 14988 = 0.
-1249, -6
Factor 68*w**2 + 7962*w + 702.
2*(w + 117)*(34*w + 3)
Factor 5*y**4 - 1095*y**3 + 6315*y**2 + 15935*y + 8520.
5*(y - 213)*(y - 8)*(y + 1)**2
Find d such that 41225*d**4 + 82440*d**3 + 41205*d**2 - 10*d = 0.
-1, 0, 2/8245
Factor 3*a**3/2 + 240*a**2 + 12375*a/2 + 43875.
3*(a + 15)**2*(a + 130)/2
Solve -2*v**2/3 + 190*v/3 - 1444 = 0 for v.
38, 57
Determine h, given that 2*h**3 - 722*h**2 + 13840*h - 68200 = 0.
10, 341
Determine f so that 5*f**5 + 855*f**4 - 3500*f**3 = 0.
-175, 0, 4
Solve 4*b**2/5 - 1272*b/5 - 5984 = 0 for b.
-22, 340
Solve m**3/3 + 145*m**2/3 + 3836*m/3 + 24860/3 = 0.
-113, -22, -10
Factor 2*g**2 + 2286*g - 25388.
2*(g - 11)*(g + 1154)
Factor p**2/2 + 20085*p + 403407225/2.
(p + 20085)**2/2
Factor -k**4/5 + 5021*k**3/5 - 8797542*k**2/5 + 1194813100*k - 1049216948728/5.
-(k - 1586)**3*(k - 263)/5
Factor 12*v**2 - 82364*v - 27456.
4*(v - 6864)*(3*v + 1)
Find p such that -2*p**5/19 - 92*p**4 - 330368*p**3/19 + 23251968*p**2/19 = 0.
-464, 0, 54
Factor y**2/2 - 1371*y/8 + 19665/8.
(y - 15)*(4*y - 1311)/8
Determine q so that -18*q**4 - 6*q**3 + 383*q**2/2 - 265*q + 100 = 0.
-4, 5/6, 2
Factor -2*z**3/5 - 26*z**2/5 - 68*z/5 + 96/5.
-2*(z - 1)*(z + 6)*(z + 8)/5
Determine b so that b**4 + 31*b**3 + 240*b**2 + 36*b - 1296 = 0.
-18, -12, -3, 2
Factor -l**2/7 - 412*l/7 + 2085/7.
-(l - 5)*(l + 417)/7
Factor -s**2 + 16025*s + 562100.
-(s - 16060)*(s + 35)
Suppose -20*x**3 + 336*x**2 + 14948*x = 0. What is x?
-101/5, 0, 37
Suppose -3*n**4/5 + 696*n**3/5 - 11028*n**2 + 1588704*n/5 - 7693632/5 = 0. Calculate n.
6, 74, 76
Determine z so that -5*z**3 + 3555*z**2 + 84530*z - 88080 = 0.
-24, 1, 734
What is l in -2*l**2/5 + 1332*l/5 - 28674 = 0?
135, 531
Factor -v**2 - 378673*v - 378672.
-(v + 1)*(v + 378672)
Find w such that 3*w**3 + 531*w**2 + 8826*w + 38160 = 0.
-159, -10, -8
Solve 3*c**2 + 57816*c - 173475 = 0.
-19275, 3
Let 10*s**5/17 + 1416*s**4/17 - 20284*s**3/17 + 74952*s**2/17 - 59022*s/17 - 66960/17 = 0. What is s?
-155, -3/5, 3, 8
Factor 2*c**3/5 - 3616*c**2/5 + 1601402*c/5 + 30008484/5.
2*(c - 913)**2*(c + 18)/5
Let s**2/3 + 1148*s + 54336 = 0. What is s?
-3396, -48
Find m, given that 12*m**5/5 - 993*m**4/5 - 1089*m**3 - 1731*m**2 - 5007*m/5 - 792/5 = 0.
-3, -1, -1/4, 88
Let -4*f**3/7 - 14072*f**2/7 + 155236*f/7 - 141160/7 = 0. What is f?
-3529, 1, 10
Find g such that 3*g**4 - 1575*g**3 + 274032*g**2 - 15518976*g - 49065984 = 0.
-3, 176
Factor -2*y**3/7 - 300*y**2 - 4194*y/7 - 2096/7.
-2*(y + 1)**2*(y + 1048)/7
What is k in -22801*k**3 + 65836*k**2 - 47524*k = 0?
0, 218/151
Determine w, given that 7*w**5/5 + 18429*w**4/5 - 5287*w**3/5 - 55273*w**2/5 + 52656*w/5 - 10532/5 = 0.
-2633, -2, 2/7, 1
Determine s, given that -s**4/4 - 19415*s**3/4 + 58251*s**2/4 - 58253*s/4 + 9709/2 = 0.
-19418, 1
What is r in -24*r**4 + 2241*r**3/7 - 5184*r**2/7 - 4188*r/7 - 720/7 = 0?
-3/8, -2/7, 4, 10
Solve t**3/7 + 756437*t**2/7 + 1512871*t/7 + 756435/7 = 0 for t.
-756435, -1
Factor 3*q**2 + 432072*q - 1296243.
3*(q - 3)*(q + 144027)
Factor 2*s**3 + 14618*s**2 + 29230*s + 14614.
2*(s + 1)**2*(s + 7307)
Let 32*y**4 - 21932*y**3 + 95484*y**2 - 98100*y + 24516 = 0. Calculate y.
3/8, 1, 3, 681
Factor -115*p**3 - 525*p**2 - 770*p - 360.
-5*(p + 1)*(p + 2)*(23*p + 36)
What is n in -4*n**3 + 16884*n**2 - 17808396*n - 17825284 = 0?
-1, 2111
Suppose 3*t**4/7 - 387*t**3/7 + 12198*t**2/7 - 62712*t/7 + 79680/7 = 0. What is t?
2, 4, 40, 83
Determine b, given that 4*b**4 - 240*b**3 + 3496*b**2 + 240*b - 3500 = 0.
-1, 1, 25, 35
Determine k so that -k**3 - 387*k**2 + 13377*k - 12989 = 0.
-419, 1, 31
Let -2*m**3 + 110684*m**2 - 553378*m + 442696 = 0. What is m?
1, 4, 55337
Solve 5*j**2 - 8030*j - 253735 = 0.
-31, 1637
Factor 18*u**3 - 5676*u**2 + 447458*u.
2*u*(3*u - 473)**2
Solve -2*a**5 + 12*a**4 + 270*a**3 + 800*a**2 = 0 for a.
-5, 0, 16
Solve 10*u**3/11 + 68*u**2/11 - 936*u/11 + 1008/11 = 0 for u.
-14, 6/5, 6
Find v such that 2*v**3/23 - 538*v**2/23 + 19950*v/23 - 200214/23 = 0.
21, 227
Determine v so that -5*v**3 - 10550*v**2 - 1134560*v - 31328640 = 0.
-1998, -56
Factor -s**3/6 - 509*s**2/3 - 195361*s/6 + 5705442.
-(s - 108)*(s + 563)**2/6
Suppose 2*a**2 - 1576432*a + 310642231328 = 0. Calculate a.
394108
Suppose -21*y**4 + 7380*y**3 + 1297431*y**2/7 + 728724*y/7 + 103500/7 = 0. What is y?
-23, -2/7, 375
Find y, given that 3*y**5/7 + 53913*y**4/7 + 242136750*y**3/7 - 726733758*y**2/7 + 726841599*y/7 - 242298507/7 = 0.
-8987, 1
Find m such that -2*m**5/19 + 116*m**4/19 - 216*m**3/19 - 452*m**2/19 + 218*m/19 + 336/19 = 0.
-1, 1, 3, 56
Let f**3/2 - 214*f**2 + 4122*f - 17136 = 0. What is f?
6, 14, 408
Factor -3*o**2 - 795*o - 9828.
-3*(o + 13)*(o + 252)
Determine r, given that 4*r**2 + 214648*r - 1288032 = 0.
-53668, 6
Factor -2*a**2 - 774*a - 53044.
-2*(a + 89)*(a + 298)
Factor -s**3 + 2708*s**2 - 16217*s + 13510.
-(s - 2702)*(s - 5)*(s - 1)
Find b such that 68*b**3 - 448*b**2 + 484*b + 280 = 0.
-7/17, 2, 5
Determine l so that -2*l**2/9 - 152690*l/9 + 33932 = 0.
-76347, 2
Solve 2*a**2/13 - 1470740*a/13 + 270384518450/13 = 0.
367685
Factor -z**2 + 2571*z - 83754.
-(z - 2538)*(z - 33)
Find m such that -m**3 - 363*m**2 - 707*m + 5415 = 0.
-361, -5, 3
Solve 2*k**2 + 482608*k + 29113810208 = 0.
-120652
Factor -t**2/2 + 36411*t - 1325760921/2.
-(t - 36411)**2/2
Solve -s**2/10 + 134611*s/10 - 13461 = 0.
1, 134610
Factor 4*p**3/5 - 276*p**2 - 8392*p/5 - 11232/5.
4*(p - 351)*(p + 2)*(p + 4)/5
Factor -3*l**2 + 2817*l + 2820.
-3*(l - 940)*(l + 1)
Factor 4*y**3/7 - 1076*y**2/7 - 4352*y/7 - 624.
4*(y - 273)*(y + 2)**2/7
Let -4*s**3 - 26804*s**2 + 53620*s - 26812 = 0. What is s?
-6703, 1
Suppose -3*d**5 - 8589*d**4 - 5915673*d**3 + 332089389*d**2 - 4311049392*d - 4649045868 = 0. What is d?
-1458, -1, 27
Factor -c**2/2 + 17215*c - 296356225/2.
-(c - 17215)**2/2
Find s, given that s**3/8 + 2799*s**2/8 + 2797*s/4 = 0.
-2797, -2, 0
Find l such that -4*l**3/7 + 3056*l**2/7 - 86768*l + 8952064/7 = 0.
16, 374
Suppose a**3/7 + 681*a**2/7 - 14020*a/7 = 0. Calculate a.
-701, 0, 20
What is y in -y**5/4 + 855*y**4/4 - 835*y**3/4 - 16215*y**2/4 - 2356*y + 6405 = 0?
-3, -2, 1, 5, 854
Find z such that 2*z**2/19 + 1792*z + 7626752 = 0.
-8512
Factor 3*w**2 + 11514*w - 11517.
3*(w - 1)*(w + 3839)
Factor -784*i**3/3 - 240408*i**2 + 17173*i - 920/3.
-(i + 920)*(28*i - 1)**2/3
Determine o, given that -15*o**3 - 745*o**2 - 12225*o - 66375 = 0.
-59/3, -15
Solve 2*b**4/5 - 602*b**3/5 + 9198*b**2/5 - 4446*b = 0.
0, 3, 13, 285
Determine s, given that -s**5 - 11376*s**4 - 32376089*s**3 - 129379246*s**2 - 161675724*s - 64661192 = 0.
-5686, -2, -1
Factor -3*b**2 + 130497*b + 522036.
-3*(b - 43503)*(b + 4)
What is d in 5*d**3 - 6515*d**2 - 324240*d = 0?
-48, 0, 1351
Let 2*n**4 - 2178*n**3 + 608986*n**2 - 8681142*n + 8074332 = 0. Calculate n.
1, 14, 537
Factor -19*a**2/8 + 1227*a/8 - 945/4.
-(a - 63)*(19*a - 30)/8
Solve -6*t**2 + 886*t/3 - 196/3 = 0.
2/9, 49
Suppose -10*n**3 - 5816*n**2 + 14008*n - 4672 = 0. Calculate n.
-584, 2/5, 2
Suppose -411*t**3/7 - 70278*t**2/7 - 69357*t/7 + 510/7 = 0. What is t?
-170, -1, 1/137
Find l such that l**3 - 4692*l**2/5 - 7524*l/5 + 752 = 0.
-2, 2/5, 940
Factor 22*r**2 - 74892*r + 13616.
2*(r - 3404)*(11*r - 2)
Factor -s**3/4 + 195*s**2/4 + 573*s - 1339.
-(s - 206)*(s - 2)*(s + 13)/4
Factor 2*m**2 - 956*m - 60990.
2*(m - 535)*(m + 57)
Factor -4*a**2 - 9836*a.
-4*a*(a + 2459)
Factor 44*l**3 - 872*l**2 + 3844*l + 728.
4*(l - 13)*(l - 7)*(11*l + 2)
Suppose 3*l**5 - 132*l**4 + 1659*l**3 - 6846*l**2 + 5088*l + 13728 = 0. What is l?
-1, 4, 11, 26
Find r such that 5*r**4 - 650*r**3 + 22105*r**2 - 289120*r + 1308060 = 0.
13, 18, 86
Suppose d**3 - 3784*d**2 - 37915*d - 94850 = 0. Calculate d.
-5, 3794
What is v in