q = 0. Calculate q.
-4582, -36, -2/3, 0, 2/9
Factor -h**2/2 - 878*h + 95877/2.
-(h - 53)*(h + 1809)/2
Determine b so that b**4 - 489822*b**3 - 4408479*b**2 = 0.
-9, 0, 489831
Factor o**3/5 + 145318*o**2/5 - 1337243*o + 76897556/5.
(o - 23)**2*(o + 145364)/5
Let -3*c**2 + 893503344*c - 66529018811598528 = 0. Calculate c.
148917224
Factor 5*n**3/3 - 193275*n**2 + 5666045125*n - 10886424306875/3.
5*(n - 57655)**2*(n - 655)/3
Determine s, given that -98*s**3/11 + 445372382*s**2/11 + 381747810*s/11 + 7436646 = 0.
-3/7, 4544617
Factor u**3/2 - 2041*u**2/2 - 28996*u + 62070.
(u - 2069)*(u - 2)*(u + 30)/2
Suppose g**4 - 16242*g**3 - 634464*g**2 - 8057070*g - 32969025 = 0. What is g?
-15, -9, 16281
Suppose 2*k**4 - 471430*k**3 - 5186004*k**2 + 7542592*k + 150864640 = 0. Calculate k.
-8, 5, 235726
Factor 3*a**3 - 1044294*a**2 + 90876030240*a + 545293776672.
3*(a - 174052)**2*(a + 6)
Let -t**5/4 - 127919*t**4/4 - 1151109*t**3/2 = 0. Calculate t.
-127901, -18, 0
Find x, given that 3*x**2 + 5187849*x - 5187852 = 0.
-1729284, 1
Factor d**4 + 4159*d**3 + 91035*d**2 + 86877*d.
d*(d + 1)*(d + 21)*(d + 4137)
Factor -v**3/8 + 2485*v**2/4 + 3499863*v/8 + 144566523/2.
-(v - 5612)*(v + 321)**2/8
Solve -45*r**4 + 213470*r**3 + 55987660*r**2 + 3581673480*r + 793164960 = 0.
-126, -2/9, 4996
Factor k**2/2 + 7001043*k/2 + 10501560.
(k + 3)*(k + 7001040)/2
What is s in 4*s**5 - 20668*s**4 + 308988*s**3 + 679996*s**2 + 350336*s = 0?
-1, 0, 17, 5152
Factor 2*p**2 - 919460*p - 1838928.
2*(p - 459732)*(p + 2)
Find u, given that 4*u**2/5 - 210254304*u/5 + 2762929521907776/5 = 0.
26281788
Suppose -2*q**3 - 102944*q**2 + 2265736*q = 0. What is q?
-51494, 0, 22
Factor r**2/3 - 281654*r/3 + 8071616.
(r - 281568)*(r - 86)/3
Factor 20*d**2/7 + 1605606*d/7 + 481680/7.
2*(d + 80280)*(10*d + 3)/7
Suppose -105*s**4 + 505100*s**3 + 10919195*s**2 + 5436630*s - 3044160 = 0. Calculate s.
-21, -6/7, 1/3, 4832
Solve t**3/4 - 2341*t**2 + 158321*t/4 + 2701283/2 = 0.
-17, 34, 9347
Find p, given that -5*p**2/3 + 87580*p + 262745/3 = 0.
-1, 52549
What is h in -h**2/2 - 81288566*h - 3303915481168178 = 0?
-81288566
Factor d**2 + 172326*d + 3273833.
(d + 19)*(d + 172307)
Determine m so that -14*m**5/3 - 447602*m**4 + 383660*m**3/3 = 0.
-95915, 0, 2/7
Factor -2*n**2/3 + 7778*n + 23340.
-2*(n - 11670)*(n + 3)/3
Find z, given that 4*z**2 - 105736152*z + 698758364985444 = 0.
13217019
Factor -3069824836*n**2 - 3767608*n - 1156.
-4*(27703*n + 17)**2
Let 2*u**2/7 + 1696*u/7 + 359390/7 = 0. What is u?
-433, -415
Factor 19*h**2 + 17979052*h - 1892532.
(h + 946266)*(19*h - 2)
Factor -2*d**2/13 - 62640*d/13 - 238335232/13.
-2*(d + 4432)*(d + 26888)/13
Let -22*z**4 + 174875*z**3 + 1423927*z**2 + 2991784*z + 381936 = 0. What is z?
-4, -3/22, 7957
Suppose -3*l**2/4 + 961905*l/2 - 5771403/4 = 0. What is l?
3, 641267
Solve -o**2/2 - 1041*o/2 + 233051 = 0 for o.
-1379, 338
Factor -3*d**2 + 585570*d + 14055408.
-3*(d - 195214)*(d + 24)
Suppose -j**5 + 609*j**4 + 4295*j**3 + 10455*j**2 + 10466*j + 3696 = 0. What is j?
-3, -2, -1, 616
Factor -2*v**3/3 + 29040*v**2 + 1481618*v/3.
-2*v*(v - 43577)*(v + 17)/3
Suppose q**2/5 + 3929652*q/5 + 3929651/5 = 0. What is q?
-3929651, -1
Suppose -3*n**5 - 159*n**4 + 18846*n**3 - 232404*n**2 - 289704*n + 503424 = 0. Calculate n.
-114, -2, 1, 16, 46
Find r, given that 26*r**3 + 1146*r**2 = 0.
-573/13, 0
Suppose 4*a**5 - 23896*a**4 - 1059172*a**3 + 23896*a**2 + 1059168*a = 0. Calculate a.
-44, -1, 0, 1, 6018
Solve 3*h**3 - 52875*h**2 - 317379*h + 370251 = 0 for h.
-7, 1, 17631
Determine s, given that 3*s**5/2 + 3201*s**4/2 - 849429*s**3/2 - 9597*s**2/2 + 1277331*s - 849420 = 0.
-1287, -2, 1, 220
Factor -3*a**3 - 10140*a**2 + 214149*a - 387714.
-3*(a - 19)*(a - 2)*(a + 3401)
Determine f, given that f**3/10 - 3203*f**2/10 + 186538*f/5 - 4803314/5 = 0.
38, 82, 3083
Find d such that -2*d**2/15 + 54782*d/15 + 4886948/3 = 0.
-439, 27830
Determine k, given that 3*k**4 - 794190*k**3 + 52636845927*k**2 - 9972199571580*k - 10024837211700 = 0.
-1, 191, 132270
Factor -326*o**3 + 369*o**2 + 1544*o + 849.
-(o - 3)*(o + 1)*(326*o + 283)
Determine n, given that 355*n**2 + 30125660*n + 424305 = 0.
-84861, -1/71
Factor 2*v**2/11 + 47928*v/11 + 2009448/11.
2*(v + 42)*(v + 23922)/11
Determine l so that 7*l**5/3 + 68*l**4/3 + 85*l**3/3 - 380*l**2/3 - 292*l/3 + 112/3 = 0.
-7, -4, -1, 2/7, 2
Factor -3*w**2 + 5148*w + 10534671.
-3*(w - 2919)*(w + 1203)
What is l in -28*l**2 + 67776*l + 5560000 = 0?
-556/7, 2500
Factor -2*j**2/3 - 149306*j/3 + 149308/3.
-2*(j - 1)*(j + 74654)/3
Let q**4/2 + 9141*q**3/8 - 246657*q**2/8 + 210025*q - 180336 = 0. What is q?
-2312, 1, 39/4, 16
What is f in 2*f**2/3 - 637990*f/3 - 7018132/3 = 0?
-11, 319006
What is u in 2*u**5/5 - 1138*u**4/5 + 7688*u**3/5 + 102632*u**2/5 - 828544*u/5 + 143872 = 0?
-10, 1, 8, 562
What is l in -2*l**5/5 + 2128*l**4/5 - 534474*l**3/5 - 540868*l**2/5 + 1073216*l/5 = 0?
-2, 0, 1, 409, 656
Let -3*k**4/5 - 1329*k**3 + 80064*k**2/5 - 48084*k + 213792/5 = 0. Calculate k.
-2227, 2, 8
Solve 2*c**3/7 - 3910*c**2/7 + 1936174*c/7 - 24513866/7 = 0.
13, 971
Factor 2*p**3/7 + 130308*p**2/7 + 521208*p/7 + 521200/7.
2*(p + 2)**2*(p + 65150)/7
Solve -j**3 + 503*j**2 - 59190*j + 1827000 = 0.
50, 105, 348
Suppose 2*y**2 + 1094*y - 161656 = 0. What is y?
-668, 121
Solve -2*d**2 + 11685060*d - 140220432 = 0 for d.
12, 5842518
Let -3*t**4 + 258*t**3 - 1755*t**2 - 84516*t + 350400 = 0. What is t?
-16, 4, 25, 73
Find z such that 3*z**4/8 + 42363*z**3/4 - 9*z**2/8 - 31773*z - 42363/2 = 0.
-28242, -1, 2
Factor 2*y**5/17 + 3945636*y**4/17.
2*y**4*(y + 1972818)/17
Find g such that g**2/2 - 943708*g - 5662257/2 = 0.
-3, 1887419
Find h, given that 4*h**3 - 5939904*h**2 + 2205153720576*h = 0.
0, 742488
Factor 3*o**2 + 3568626*o - 3568629.
3*(o - 1)*(o + 1189543)
Factor s**2 + 814833696*s + 165988488034255104.
(s + 407416848)**2
Factor 3*l**3/2 + 585513*l**2/2 + 14289516576*l + 499774517760.
3*(l + 35)*(l + 97568)**2/2
What is r in -20*r**5 - 62635*r**4 + 12421300*r**3 - 27724690*r**2 + 18436120*r - 3070075 = 0?
-3319, 1/4, 1, 185
Determine x, given that 2*x**3 + 3894*x**2 + 1841742*x - 52605126 = 0.
-987, 27
Find s, given that -3*s**2 + 8747949*s = 0.
0, 2915983
Suppose 2*n**5/5 + 116*n**4/5 - 5856*n**3/5 + 36196*n**2/5 - 55298*n/5 + 4968 = 0. Calculate n.
-92, 1, 5, 27
Find r such that 935*r**2/2 - 2486163*r/2 - 2659 = 0.
-2/935, 2659
Factor 46*u**3 - 730*u**2 - 6168*u - 792.
2*(u - 22)*(u + 6)*(23*u + 3)
Factor -v**4 - 314*v**3 - 23892*v**2 - 463320*v + 3709152.
-(v - 6)*(v + 54)**2*(v + 212)
Find v such that -2*v**4 + 88816*v**3 - 1331548*v**2 - 10742896*v - 9322530 = 0.
-5, -1, 21, 44393
Determine i so that -i**2 - 37867*i + 5092134 = 0.
-38001, 134
Factor -3*u**2 + 565893*u + 2829540.
-3*(u - 188636)*(u + 5)
Find q such that -63694*q**3 + 382160*q**2 - 318446*q - 20 = 0.
-2/31847, 1, 5
Suppose -4*s**5 + 18828*s**4 - 22070984*s**3 - 199675536*s**2 - 577804320*s - 533775744 = 0. Calculate s.
-4, -3, -2, 2358
Let -14*s**2 - 154380*s + 8978850 = 0. Calculate s.
-11085, 405/7
Find j such that -j**2 + 874644*j - 191250531684 = 0.
437322
Suppose 5*g**5 - 16740*g**4 - 67025*g**3 - 50300*g**2 + 67020*g + 67040 = 0. Calculate g.
-2, -1, 1, 3352
Suppose -c**5 + 126609*c**4 - 4008535696*c**3 + 68110546944*c**2 - 64102137856*c = 0. What is c?
0, 1, 16, 63296
Factor -10*q**2/3 - 87494*q/3 + 1226876/3.
-2*(q - 14)*(5*q + 43817)/3
Find b, given that 28*b**2 + 198524*b + 2208648 = 0.
-7079, -78/7
Let 4*w**3 + 21576*w**2 + 7231692*w + 7210120 = 0. What is w?
-5035, -358, -1
Let 2*x**5 - 474*x**4 - 10192*x**3 + 119904*x**2 - 286720*x = 0. What is x?
-28, 0, 4, 5, 256
What is l in -4*l**2 + 107457656*l - 721696739563396 = 0?
13432207
Solve -3*y**3/7 - 91730*y**2/7 + 91739*y/7 + 183466/7 = 0.
-91733/3, -1, 2
Factor 5*n**5 + 55067285*n**4 - 165201885*n**3 + 165201895*n**2 - 55067300*n.
5*n*(n - 1)**3*(n + 11013460)
Solve 5*l**5 - 29585*l**4 - 1072755*l**3 + 7234785*l**2 - 11251170*l = 0 for l.
-42, 0, 3, 5953
What is i in 4232*i**5 - 355718*i**4 + 717602*i**3 - 385142*i**2 + 19190*i - 164 = 0?
1/92, 1/23, 1, 82
Factor -35*r**3 + 1026895*r**2 - 7534218200*r + 29045280240.
-5*(r - 14668)**2*(7*r - 27)
Factor -3*x**2/5 - 55236*x/5 + 143715.
-3*(x - 13)*(x + 18425)/5
Determine k so that 25*k**5 +