35, 7910
Factor s**2/5 - 183625364*s/5 + 8429568576033124/5.
(s - 91812682)**2/5
Find r, given that 4*r**2 + 68284*r + 2317032 = 0.
-17037, -34
Find h, given that -3*h**3/2 + 8925402*h**2 + 53552466*h = 0.
-6, 0, 5950274
Factor -2*o**3/13 + 5422*o**2/13 - 4496158*o/13 + 1041478130/13.
-2*(o - 1163)**2*(o - 385)/13
Solve 12445125*t**4 + 375843775*t**3 - 306617680*t**2 + 61703180*t + 4960 = 0.
-31, -8/99561, 2/5
Find n, given that -8*n**4/7 - 90870*n**3/7 - 258076012*n**2/7 - 188236134*n/7 + 14964483024/7 = 0.
-5679, -8, 29/4
Factor 2*i**2/15 + 1026708*i/5 - 12320528/15.
2*(i - 4)*(i + 1540066)/15
Suppose z**2/2 - 212829*z/2 - 10007381 = 0. What is z?
-94, 212923
Factor -4*i**3 - 740*i**2 - 45372*i - 922716.
-4*(i + 57)**2*(i + 71)
Factor -2*l**2/15 + 15788*l/15 - 78190.
-2*(l - 7819)*(l - 75)/15
Find o, given that -o**3/4 - 181*o**2/4 + 5181*o/2 + 98010 = 0.
-220, -27, 66
Factor -5*w**3 - 18125*w**2 - 16178360*w + 450127260.
-5*(w - 27)*(w + 1826)**2
Suppose k**5/4 - 61*k**4/4 + 389*k**3/4 - 587*k**2/4 - 195*k/2 + 162 = 0. Calculate k.
-1, 1, 3, 4, 54
Let -2*l**5/9 - 220*l**4/9 + 48*l**3 + 2524*l**2 - 7326*l = 0. What is l?
-111, -11, 0, 3, 9
Solve -4*w**2 - 23768*w - 24601380 = 0.
-4607, -1335
Find a, given that 4*a**4 + 712*a**3 + 34000*a**2 - 165000*a - 29812500 = 0.
-75, -53, 25
Solve 552*m**2 - 82815*m + 2250 = 0 for m.
5/184, 150
Find t, given that 2*t**5/7 + 22*t**4/7 - 188*t**3 + 2336*t**2/7 + 46080*t/7 = 0.
-32, -5, 0, 8, 18
Factor -2*u**2 - 9435812*u - 11129318512418.
-2*(u + 2358953)**2
Find m, given that 3*m**2 + 9465*m - 32032518 = 0.
-5206, 2051
Determine u so that -4*u**4 - 2840*u**3 + 144508*u**2 - 778384*u + 636720 = 0.
-758, 1, 5, 42
Factor -2*a**4/7 + 34152*a**3 - 717180*a**2/7 + 717176*a/7 - 239058/7.
-2*(a - 119529)*(a - 1)**3/7
Let 7*a**5/3 - 61*a**4/3 - 3154*a**3/3 - 17360*a**2/3 - 1568*a = 0. Calculate a.
-12, -7, -2/7, 0, 28
Suppose p**2/9 + 200312*p/9 - 400636/3 = 0. What is p?
-200318, 6
What is l in 4*l**2 - 456608*l + 24188988 = 0?
53, 114099
Determine i, given that 4*i**3 - 7284*i**2/5 - 96564*i/5 + 19604/5 = 0.
-13, 1/5, 377
Let -j**5/11 + 140*j**4/11 + 1195*j**3/11 - 46550*j**2/11 - 4764*j/11 + 183960/11 = 0. Calculate j.
-21, -2, 2, 15, 146
Factor -2*c**2/7 + 1449342*c/7 + 1449344/7.
-2*(c - 724672)*(c + 1)/7
What is b in -3*b**3/2 + 24021*b**2 + 384720*b = 0?
-16, 0, 16030
Find u such that -9*u**3/5 + 15438*u**2/5 + 181371*u/5 - 62172/5 = 0.
-12, 1/3, 1727
Factor 235*t**2 - 353940*t + 45180.
5*(t - 1506)*(47*t - 6)
Let 3*v**3/7 + 8634*v**2/7 + 2285067*v/7 - 327672 = 0. What is v?
-2583, -296, 1
Let 7*m**4/5 + 13158*m**3/5 + 965248*m**2 - 276000*m = 0. What is m?
-1380, -500, 0, 2/7
Solve 4*h**5 + 244*h**4 - 5140*h**3 + 13820*h**2 + 80976*h + 61776 = 0.
-78, -2, -1, 9, 11
Suppose d**5/5 - 256*d**4/5 + 13449*d**3/5 + 79866*d**2 - 161460*d - 8569800 = 0. Calculate d.
-15, 10, 138
Suppose p**2/2 + 16109*p/2 + 449484 = 0. Calculate p.
-16053, -56
Solve -3*c**5/8 - 6363*c**4/4 - 330753*c**3/2 - 16038297*c**2/4 + 146014935*c/8 - 14075325 = 0 for c.
-4136, -55, 1, 3
Suppose -3*w**2/7 - 395798913*w/7 + 791597838/7 = 0. Calculate w.
-131932973, 2
Suppose 3*q**3/2 - 527424*q**2 - 1054866*q + 4219416 = 0. Calculate q.
-4, 2, 351618
Suppose -323575*j**5/3 - 10206695*j**4/3 + 90238877*j**3/3 + 32444557*j**2 - 922962*j + 6480 = 0. Calculate j.
-270/7, -1, 3/215, 8
Factor -15559*v**2/6 - 2084933*v/6 - 603.
-(v + 134)*(15559*v + 27)/6
Find y, given that -2*y**5 + 21152*y**4 - 55030610*y**3 - 4733366524*y**2 - 104757163160*y - 191021443600 = 0.
-41, -2, 5330
Determine c so that 128*c**4/3 + 8090656*c**3 + 6067976*c**2 + 4550978*c/3 + 126416 = 0.
-189624, -1/4
Solve -3*m**2 + 802041*m = 0.
0, 267347
Let 2*z**2/9 - 27520*z/9 + 1015502/9 = 0. Calculate z.
37, 13723
Factor 3*s**3/8 - 4041*s**2 + 87123951*s/8 - 87059307/4.
3*(s - 5387)**2*(s - 2)/8
Determine o, given that o**4 + 3774*o**3 + 3535677*o**2 - 7082680*o + 3543228 = 0.
-2034, -1742, 1
Determine p, given that -5*p**2 - 466235*p + 132814020 = 0.
-93531, 284
Factor -4*k**3 - 429196*k**2 - 858380*k - 429188.
-4*(k + 1)**2*(k + 107297)
Solve m**3 - 831148*m**2 + 172708398468*m - 2763121605696 = 0 for m.
16, 415566
Factor 2*j**4 - 348*j**3 + 6922*j**2 - 35568*j.
2*j*(j - 152)*(j - 13)*(j - 9)
Find l, given that l**3/4 - 1363651*l**2/4 + 116221332656*l + 116221673569 = 0.
-1, 681826
Find q such that -6*q**4/5 + 2462*q**3 - 195934*q**2/5 + 207818*q - 366420 = 0.
5, 6, 6107/3
Factor 3*p**2/2 + 13206*p + 32606145/2.
3*(p + 1485)*(p + 7319)/2
Find c such that -2*c**2/3 - 14496284*c/3 + 24160490 = 0.
-7248147, 5
Factor 2*z**2 + 1933504*z - 1933506.
2*(z - 1)*(z + 966753)
Find x such that -x**3/4 - 97371*x**2/2 - 194739*x - 194738 = 0.
-194738, -2
Suppose 5*s**5 - 825*s**4 - 38570*s**3 = 0. Calculate s.
-38, 0, 203
Suppose -3*r**4 + 25505*r**3 - 297099*r**2 - 432977*r - 110370 = 0. Calculate r.
-1, -1/3, 13, 8490
Suppose 2*j**2 - 26824752*j + 89945914982688 = 0. Calculate j.
6706188
Suppose f**5 - 168*f**4 - 6779*f**3 - 18102*f**2 + 25048*f = 0. Calculate f.
-31, -4, 0, 1, 202
Determine k so that -383*k**4/4 + 26425*k**3/4 + 835*k**2/2 - 26425*k - 138 = 0.
-2, -2/383, 2, 69
Solve 3*x**2/4 - 31428*x + 5650965/4 = 0 for x.
45, 41859
Determine u so that -u**5/2 + 4241*u**4/2 + 16988*u**3 + 33992*u**2 = 0.
-4, 0, 4249
Factor 5*l**3 + 123385*l**2 + 762240600*l + 12922456500.
5*(l + 17)*(l + 12330)**2
Let y**4/8 - 415*y**3/4 + 49287*y**2/2 - 1280273*y + 14592400 = 0. Calculate y.
16, 50, 382
Factor 3*z**2/2 + 407049*z/2 + 203523.
3*(z + 1)*(z + 135682)/2
Factor -9*c**2 - 109080*c + 254569.
-(3*c - 7)*(3*c + 36367)
Factor 12*i**2/5 - 24031*i - 10013/5.
(i - 10013)*(12*i + 1)/5
Find p, given that 28*p**4/17 - 24278*p**3/17 + 25982*p**2/17 - 1732*p/17 = 0.
0, 1/14, 1, 866
Solve -5*x**3 - 28788112*x**2 + 17272871*x + 11515246 = 0 for x.
-5757623, -2/5, 1
Factor -5*g**4 - 217295*g**3 - 202999980*g**2 - 63832448720*g - 6707065897280.
-5*(g + 316)**3*(g + 42511)
Find w, given that 3*w**2/7 - 94121316*w/7 + 738235177130988/7 = 0.
15686886
Factor 2*q**2/9 + 1248398*q/9 - 2496820/3.
2*(q - 6)*(q + 624205)/9
Suppose 258*t**3 + 30045*t**2 + 100683*t = 0. Calculate t.
-113, -297/86, 0
Let -4*w**5 - 3500*w**4 - 259100*w**3 - 1467460*w**2 - 2641056*w - 1429200 = 0. What is w?
-794, -75, -3, -2, -1
Let 5*c**5/4 + 339770*c**4 + 46172704135*c**3/2 - 323258876850*c**2 + 4525857370125*c/4 = 0. What is c?
-135915, 0, 7
Let 4*o**4 + 10068*o**3 + 777828*o**2 + 18134060*o + 107515800 = 0. What is o?
-2438, -35, -9
Suppose -2*p**3/3 + 5050958*p**2/3 - 1063008205066*p + 1063006521414 = 0. Calculate p.
1, 1262739
Solve 3*p**2 - 6183*p + 2854122 = 0.
698, 1363
Determine i, given that 2*i**3/5 + 89066*i**2/5 - 5351538*i/5 - 16856154/5 = 0.
-44593, -3, 63
Factor 4*p**2 - 2009944832*p + 252492389230219264.
4*(p - 251243104)**2
Determine d, given that 35*d**5 + 68885*d**4 - 3427470*d**3 + 43478240*d**2 - 179370880*d + 123924480 = 0.
-2017, 6/7, 8, 32
Find n such that n**3 - 531*n**2 + 70574*n - 339720 = 0.
5, 228, 298
Factor -4*y**3 + 319214384*y**2 - 6368614253745588*y + 12737227230633672.
-4*(y - 39901797)**2*(y - 2)
Find t such that t**2 - 13553467*t + 27106930 = 0.
2, 13553465
Determine q, given that -4*q**4 + 388*q**3 - 11200*q**2 + 90576*q - 218880 = 0.
5, 6, 38, 48
Factor -4*n**3 + 376564*n**2 + 753140*n + 376572.
-4*(n - 94143)*(n + 1)**2
Let -5*k**2 - 508865*k - 1017710 = 0. Calculate k.
-101771, -2
Factor 2*u**2/5 + 166828*u/5 + 3478947698/5.
2*(u + 41707)**2/5
Find i, given that i**3/4 + 511002*i**2 - 4088019*i/4 + 1022005/2 = 0.
-2044010, 1
Solve -3*b**4 + 22167333*b**3 - 22167327*b**2 - 22167333*b + 22167330 = 0 for b.
-1, 1, 7389110
Find w, given that 5*w**2/3 + 40079195*w/3 = 0.
-8015839, 0
Factor -w**2/2 + 816168*w + 1632337/2.
-(w - 1632337)*(w + 1)/2
Find g, given that -g**4/9 - 41*g**3/9 - 43*g**2 - 655*g/9 - 308/9 = 0.
-28, -11, -1
Solve 2*f**3 - 1348*f**2 - 291058*f - 1697388 = 0.
-167, -6, 847
Find n such that -2*n**2/7 - 290361192*n/7 - 10538702727457608/7 = 0.
-72590298
Find w such that -3*w**3/5 - 2727*w**2/5 + 1640448*w/5 + 658356 = 0.
-1322, -2, 415
Suppose -t**3 - 382265*t**2 = 0. What is t?
-382265, 0
Factor a**4 - 69497*a**3 + 1207562493*a**2 - 3622201015*a + 2414708018.
(a - 34747)**2*(a