Solve s**2/7 - 4904*s/7 - 29460/7 = 0 for s.
-6, 4910
Determine z, given that -z**5 + 20*z**4 - 83*z**3 - 188*z**2 + 348*z + 432 = 0.
-2, -1, 2, 9, 12
Solve -4*v**4/7 - 4532*v**3/7 - 53756*v**2/7 + 58292*v/7 = 0.
-1121, -13, 0, 1
Determine i, given that -i**5 + 8*i**4 + 31*i**3 + 22*i**2 = 0.
-2, -1, 0, 11
Suppose 4*j**5 - 300*j**4 - 324*j**3 + 1532*j**2 - 912*j = 0. Calculate j.
-3, 0, 1, 76
What is m in 5*m**2 - 625840*m = 0?
0, 125168
Factor 10*w**3 + 33955*w**2 + 186475*w + 84750.
5*(w + 5)*(w + 3390)*(2*w + 1)
Find o, given that -2*o**4/7 - 1506*o**3/7 - 275040*o**2/7 + 3210328*o/7 = 0.
-382, 0, 11
Factor -4*j**2 - 90926*j - 45462.
-2*(j + 22731)*(2*j + 1)
Find b, given that b**2/5 + 9970*b + 49849/5 = 0.
-49849, -1
Determine h so that -2*h**2 - 28494*h - 227824 = 0.
-14239, -8
What is t in 50*t**3/11 - 56790*t**2 + 499728*t/11 - 99944/11 = 0?
2/5, 12493
Factor 2*j**2/15 - 304*j/3 + 278432/15.
2*(j - 452)*(j - 308)/15
Determine w, given that -5*w**4 + 975*w**3 - 4770*w**2 + 3800*w = 0.
0, 1, 4, 190
Factor 1125*q**3 + 16350*q**2 + 70805*q + 96040.
5*(q + 8)*(15*q + 49)**2
Factor 85*n**3 - 690*n**2 - 121300*n + 14280.
5*(n - 42)*(n + 34)*(17*n - 2)
Factor -4*q**3 - 9692*q**2 - 29024*q + 38720.
-4*(q - 1)*(q + 4)*(q + 2420)
Let 3*l**2/4 - 45*l/4 - 567 = 0. Calculate l.
-21, 36
Determine v, given that 120*v**3 + 1565*v**2 + 2705*v + 110 = 0.
-11, -2, -1/24
Suppose 108*c**2 + 2872*c - 7540 = 0. Calculate c.
-29, 65/27
Factor -2*j**4/3 + 14444*j**3/3 - 26006272*j**2/3 - 261509120*j/3.
-2*j*(j - 3616)**2*(j + 10)/3
Suppose 4*u**4 - 336*u**3 + 948*u**2 + 1976*u - 2592 = 0. Calculate u.
-2, 1, 4, 81
Factor 4*n**3 + 136500*n**2 + 1163627868*n - 15150239572.
4*(n - 13)*(n + 17069)**2
Solve 2*c**5/13 - 1268*c**3/13 - 11416*c**2/13 - 1398*c + 30856/13 = 0.
-19, -7, -4, 1, 29
Factor -k**3 - 11484*k**2 + 80427*k - 114910.
-(k - 5)*(k - 2)*(k + 11491)
Factor 4*c**5 - 1312*c**4 - 192560*c**3 - 5974464*c**2.
4*c**2*(c - 444)*(c + 58)**2
Factor -3*f**3 + 10368*f**2 - 31077*f.
-3*f*(f - 3453)*(f - 3)
Factor -3*w**2/7 + 1347*w/7 - 1326.
-3*(w - 442)*(w - 7)/7
Factor -n**3/4 - 237*n**2/2 - 927*n + 2330.
-(n - 2)*(n + 10)*(n + 466)/4
Factor q**2/4 + 18623*q/4 - 55887/2.
(q - 6)*(q + 18629)/4
Let 2*d**5 - 80*d**4 + 706*d**3 + 2084*d**2 - 2856*d - 7056 = 0. Calculate d.
-2, 2, 21
Factor -2*d**2 - 7718*d - 15428.
-2*(d + 2)*(d + 3857)
Factor -194*k**2/15 + 428*k/5 + 518/15.
-2*(k - 7)*(97*k + 37)/15
Determine u, given that 21*u**3/5 + 1347*u**2/5 + 20352*u/5 + 576 = 0.
-40, -24, -1/7
Factor -45*x**3 + 4340*x**2 - 132625*x + 1306250.
-5*(x - 25)**2*(9*x - 418)
Suppose -2*a**2 + 5972*a + 23920 = 0. Calculate a.
-4, 2990
Suppose r**5/3 - 13*r**4/3 + r**3 + 301*r**2/3 - 4*r/3 - 96 = 0. Calculate r.
-4, -1, 1, 8, 9
Factor 3*k**2 - 150987*k + 150984.
3*(k - 50328)*(k - 1)
Determine h so that 132*h**2/7 - 1756*h/7 + 5112/7 = 0.
142/33, 9
Find t, given that 2*t**2/13 + 87872*t/13 + 965186048/13 = 0.
-21968
Determine k so that 3*k**4 + 579*k**3 + 1146*k**2 = 0.
-191, -2, 0
Let 2*y**5 - 6226*y**4 - 195126*y**3 + 622714*y**2 - 635156*y + 213792 = 0. Calculate y.
-34, 1, 3144
Factor 4*v**2 - 3900*v.
4*v*(v - 975)
Factor 2*g**3 - 14916*g**2 - 119474*g + 134388.
2*(g - 7466)*(g - 1)*(g + 9)
Solve 65*a**5/6 + 1271*a**4/6 + 3919*a**3/3 + 8518*a**2/3 + 3820*a/3 + 400/3 = 0.
-10, -5, -4, -2/5, -2/13
Find y, given that 24*y**3 + 764*y**2 - 964*y - 1320 = 0.
-33, -5/6, 2
Find q such that 657566*q**4 - 4*q**3 - 1972698*q**2 + 1315144*q - 8 = 0.
-2, 2/328783, 1
Factor -3*u**3/5 - 21*u**2 + 6696*u/5 - 69012/5.
-3*(u - 18)**2*(u + 71)/5
Let -4*w**3 - 6158*w**2 - 2362344*w + 5944410 = 0. What is w?
-771, 5/2
Let 6*c**4 + 6002*c**3 + 7994*c**2 + 1998*c = 0. What is c?
-999, -1, -1/3, 0
Find u such that -2*u**4/5 + 114*u**3/5 - 126*u**2 + 926*u/5 - 408/5 = 0.
1, 4, 51
Factor 2*y**5/7 + 338*y**4/7 - 300*y**3.
2*y**3*(y - 6)*(y + 175)/7
Suppose 125*s**5 - 1575*s**4 - 14895*s**3 - 5765*s**2 - 570*s = 0. Calculate s.
-6, -1/5, 0, 19
Suppose 4*y**5 - 764*y**4 + 13368*y**3 - 50368*y**2 - 94336*y + 132096 = 0. Calculate y.
-2, 1, 8, 12, 172
Factor 23*h**2/2 + 1239*h/2 + 530.
(h + 53)*(23*h + 20)/2
Find c such that 4*c**5 - 48*c**4 - 8884*c**3 - 171712*c**2 - 943680*c - 780800 = 0.
-20, -8, -1, 61
Find h such that h**4/2 - 39*h**3/2 + 311*h**2/2 - 609*h/2 = 0.
0, 3, 7, 29
Factor 5*z**2 + 263505*z.
5*z*(z + 52701)
Determine b so that 2*b**5/11 - 866*b**4/11 + 2576*b**3/11 + 1744*b**2/11 - 10336*b/11 + 6880/11 = 0.
-2, 1, 2, 430
Suppose 14*l**5 + 760*l**4 + 6362*l**3 + 1000*l**2 - 6376*l - 1760 = 0. What is l?
-44, -10, -1, -2/7, 1
What is m in 4*m**4 + 431516*m**3/7 + 1662399960*m**2/7 - 1187772016*m/7 - 475059488/7 = 0?
-7706, -2/7, 1
Factor 5*k**4 + 650*k**3 - 6135*k**2 + 16580*k - 13900.
5*(k - 5)*(k - 2)**2*(k + 139)
Suppose -4*j**5 - 4300*j**4 - 1482060*j**3 - 166870420*j**2 - 329311840*j - 163919184 = 0. Calculate j.
-501, -286, -1
Find g, given that 3*g**3/2 - 1824*g**2 + 141237*g/2 - 68796 = 0.
1, 39, 1176
Solve -2*v**5/7 + 324*v**4 + 326*v**3 - 13620*v**2/7 = 0.
-3, 0, 2, 1135
What is j in 3*j**3/2 - 93*j**2 - 381*j/2 - 96 = 0?
-1, 64
Factor -5*n**2 - 9330*n - 533065.
-5*(n + 59)*(n + 1807)
Determine z, given that 4*z**4 + 133*z**3 + 221*z**2 - 15253*z - 3825 = 0.
-25, -17, -1/4, 9
Solve -2*k**4 - 32*k**3 + 530*k**2 - 1672*k + 1512 = 0 for k.
-27, 2, 7
Let 5*q**3 - 456270*q**2 = 0. What is q?
0, 91254
Factor -5*g**3 - 1360*g**2 + 363540*g.
-5*g*(g - 166)*(g + 438)
Factor -5*i**2 + 1082780*i - 58620626420.
-5*(i - 108278)**2
Factor -2*y**2/3 + 35746*y - 107236/3.
-2*(y - 53618)*(y - 1)/3
Determine a so that -5112*a**4 + 1468*a**3 - 40*a**2/3 = 0.
0, 2/213, 5/18
Let -2*p**2/3 + 12*p + 1760/3 = 0. What is p?
-22, 40
Factor 94*d**2/7 + 15420*d/7 + 656/7.
2*(d + 164)*(47*d + 2)/7
Factor r**4/2 + 26062*r**3 + 339535727*r**2 - 2037918090*r + 6114458025/2.
(r - 3)**2*(r + 26065)**2/2
Factor -4*r**3/3 + 18464*r**2 + 55404*r.
-4*r*(r - 13851)*(r + 3)/3
Let 3*k**4 - 155619*k**3 - 933825*k**2 + 155619*k + 933822 = 0. What is k?
-6, -1, 1, 51879
Factor g**2/6 - 416*g/3 - 3424.
(g - 856)*(g + 24)/6
Let 21*m**3/5 + 2049*m**2/5 + 6750*m - 169128/5 = 0. Calculate m.
-522/7, -27, 4
Find j, given that -j**5 - j**4 + 491*j**3 - 3887*j**2 + 6310*j - 2912 = 0.
-26, 1, 7, 16
Let 4*g**5/3 + 66*g**4 - 400*g**3 + 550*g**2/3 = 0. What is g?
-55, 0, 1/2, 5
Factor -i**3/5 - 15111*i**2/5 - 11403504*i + 102876480.
-(i - 9)*(i + 7560)**2/5
Factor 2*v**5/11 - 8794*v**4/11 - 26394*v**3/11 - 26398*v**2/11 - 800*v.
2*v*(v - 4400)*(v + 1)**3/11
Factor -u**3/2 - 993*u**2 + 52143*u/2 - 170014.
-(u - 13)**2*(u + 2012)/2
Find w, given that w**3/5 - 16*w**2/5 + 4*w + 112/5 = 0.
-2, 4, 14
Factor 2*j**2/7 - 162248*j/7 + 3290551688/7.
2*(j - 40562)**2/7
Factor -3*q**4/2 + 444*q**3 - 1323*q**2 + 1320*q - 879/2.
-3*(q - 293)*(q - 1)**3/2
Factor -3*y**3 + 918*y**2 + 9405*y + 23700.
-3*(y - 316)*(y + 5)**2
Solve 4*d**3 - 7336*d**2 - 14784*d + 176256 = 0 for d.
-6, 4, 1836
Factor -2*k**2 + 83448*k - 870446088.
-2*(k - 20862)**2
Solve -3*z**3 - 11058*z**2 = 0.
-3686, 0
Determine s so that s**3/5 + 9829*s**2/5 + 24157224*s/5 + 24147396/5 = 0.
-4914, -1
Factor 2*j**4 - 2938*j**3 - 8832*j**2.
2*j**2*(j - 1472)*(j + 3)
Factor 116*x**4 - 6314*x**3 + 2700*x**2.
2*x**2*(x - 54)*(58*x - 25)
Determine r, given that 2*r**5/13 + 62*r**4/13 - 12*r**3 - 712*r**2/13 + 2576*r/13 - 2112/13 = 0.
-33, -4, 2
Let j**3/2 - 4817*j**2/2 + 9631*j/2 - 4815/2 = 0. What is j?
1, 4815
Suppose -3*t**3 - 4245*t**2 + 3*t + 4245 = 0. Calculate t.
-1415, -1, 1
Determine q so that -q**2/2 + 510*q + 8288 = 0.
-16, 1036
Find y, given that 3*y**3 + 123120*y**2 - 246249*y + 123126 = 0.
-41042, 1
Determine b, given that -4*b**3 - 2260*b**2 - 384332*b - 17326556 = 0.
-247, -71
Factor -2*i**3 + 2298*i**2 - 2292*i - 4592.
-2*(i - 1148)*(i - 2)*(i + 1)
Suppose 4*h**2 - 752*h + 23680 = 0. Calculate h.
40, 148
Find t such that t**4 + 2497*t**3 + 7485*t**2 + 7483*t + 2494 = 0.
-2494, -1
Factor 2*i**4 - 1446*i**3 - 8748*i**2.
2*i**2*(i - 729)*(i + 6)
Factor -4*p**2 - 41424*p - 207020.
-4*(p + 5)*(p + 10351)
Factor -3*a**3/5 + 14439*a**2.
-3*a**2*(a - 24065)/5
Solve -s**3/6 + 206420*s**2/3 - 825677*s/6 + 206419/3 = 0 for s.
1, 412838
Factor -5*i**3/3 + 1475*i**2/6 - 1460*i/3 + 485/2