75/3.
-5*(y + 41375)*(9*y + 2)/6
Factor 2*j**5 - 108*j**4 + 208*j**3 + 4*j**2 - 210*j + 104.
2*(j - 52)*(j - 1)**3*(j + 1)
Factor -2*j**4/5 - 216*j**3/5 - 5376*j**2/5 - 38912*j/5.
-2*j*(j + 16)**2*(j + 76)/5
Suppose o**5/4 + 93*o**4/4 + 535*o**3/4 + 1143*o**2/4 + 262*o + 87 = 0. Calculate o.
-87, -2, -1
Determine m, given that 3*m**4 + 240*m**3 + 5436*m**2 + 8976*m - 554880 = 0.
-34, -20, 8
Find a such that 5*a**2/2 + 460*a - 2805/2 = 0.
-187, 3
Find u, given that 8*u**5 + 583*u**4 - 1873*u**3 + 2041*u**2 - 835*u + 76 = 0.
-76, 1/8, 1
Factor 4*i**2 + 40564*i + 202720.
4*(i + 5)*(i + 10136)
Factor 2*t**3 + 121740*t**2.
2*t**2*(t + 60870)
Find f such that 18*f**5/7 - 39776*f**4/7 + 22048954*f**3/7 - 82694116*f**2/7 - 19465744*f/7 = 0.
-2/9, 0, 4, 1103
Find q such that -5*q**3 - 1660*q**2 + 27765*q - 26100 = 0.
-348, 1, 15
Determine d, given that d**2/6 - 14537*d/2 = 0.
0, 43611
Find o such that -o**4/7 - o**3 + 43*o**2/7 + 25*o - 450/7 = 0.
-9, -5, 2, 5
Factor x**5/5 - 207*x**4/5 + 398*x**3/5 + 2446*x**2/5 + 573*x + 205.
(x - 205)*(x - 5)*(x + 1)**3/5
Determine c so that 3*c**5/7 - 141*c**4 - 11862*c**3 + 257916*c**2/7 - 3912*c/7 - 343872/7 = 0.
-72, -1, 2, 398
Find g such that g**3 + 5059*g**2 - 45612*g = 0.
-5068, 0, 9
Determine k so that -k**3/5 - 447*k**2/5 + 4*k/5 + 1788/5 = 0.
-447, -2, 2
Find u such that -68*u**4 - 7356*u**3 - 14372*u**2 + 7356*u + 14440 = 0.
-1805/17, -2, -1, 1
Solve -5*p**3 - 2275*p**2 + 2340*p + 27360 = 0.
-456, -3, 4
Determine b, given that -b**2 - 1063*b = 0.
-1063, 0
Let k**5 - 30*k**4 + 186*k**3 + 844*k**2 - 3603*k - 10710 = 0. What is k?
-3, 5, 14, 17
Factor -b**3/4 + 4670*b**2 - 21808900*b.
-b*(b - 9340)**2/4
Solve 5*z**2 - 4595*z - 2638000 = 0.
-400, 1319
Solve -208*k**3 - 5822*k**2 - 40712*k + 392 = 0 for k.
-14, 1/104
Suppose 3*z**4/2 - 183*z**3 - 1947*z**2/2 + 2667*z = 0. What is z?
-7, 0, 2, 127
Determine a so that -4*a**4/9 - 36560*a**3/9 - 27834344*a**2/3 + 167115760*a/9 - 83576164/9 = 0.
-4571, 1
Determine b, given that 2*b**2/11 + 64056*b/11 + 512896392/11 = 0.
-16014
Find a, given that 180*a**5 + 8328*a**4 - 108868*a**3 + 72280*a**2 + 38736*a - 27360 = 0.
-57, -3/5, 2/3, 10
Factor -2*h**3 - 334*h**2 - 12310*h - 11978.
-2*(h + 1)*(h + 53)*(h + 113)
Let -3*h**2 - 11484*h - 125961 = 0. What is h?
-3817, -11
Factor 4*d**4 - 52*d**3 - 18012*d**2 - 383740*d + 401800.
4*(d - 82)*(d - 1)*(d + 35)**2
Suppose 2*j**4 + 18*j**3 - 128*j**2 + 168*j = 0. What is j?
-14, 0, 2, 3
Let 25*i**4 - 340*i**3 - 1835*i**2 + 870*i + 7920 = 0. What is i?
-3, 2, 88/5
Let -22*z**5/5 - 18*z**4/5 + 418*z**3 - 1710*z**2 + 1300*z = 0. What is z?
-130/11, 0, 1, 5
Let -9*m**4/2 - 277*m**3/2 - 2233*m**2/2 - 1515*m/2 + 225 = 0. What is m?
-15, -1, 2/9
Factor l**2/5 + 171478*l/5.
l*(l + 171478)/5
Let 2*a**3/7 - 34484*a**2/7 + 4926*a = 0. Calculate a.
0, 1, 17241
Let -2*g**2/9 - 3387956*g/9 - 1434780732242/9 = 0. Calculate g.
-846989
Suppose -2*q**3/13 + 556*q**2/13 - 2490*q = 0. What is q?
0, 83, 195
Factor -z**2 + 83*z + 348.
-(z - 87)*(z + 4)
Suppose -297*c**4 + 4173*c**3 - 14763*c**2 + 735*c = 0. Calculate c.
0, 5/99, 7
Factor -b**3/5 + 273*b**2/5 - 216*b + 1076/5.
-(b - 269)*(b - 2)**2/5
Suppose 5*s**2/2 - 31420*s + 439635/2 = 0. What is s?
7, 12561
Suppose -r**2/4 + 5501*r/4 + 13765/2 = 0. What is r?
-5, 5506
Solve 15*q**5 + 1795*q**4 + 38495*q**3/3 - 16445*q**2/3 - 23000*q/3 - 4480/3 = 0 for q.
-112, -8, -1/3, 1
Factor -3*n**3 - 5277*n**2 + 3*n + 5277.
-3*(n - 1)*(n + 1)*(n + 1759)
What is g in -25*g**2 + 2290*g - 17845 = 0?
43/5, 83
Factor 2*a**3/11 + 105778*a**2/11 + 127152368*a + 127142752.
2*(a + 1)*(a + 26444)**2/11
What is v in -4*v**3/7 + 2300*v**2/7 - 103288*v/7 + 100992/7 = 0?
1, 48, 526
Find u such that 2*u**5 + 8172*u**4 + 8339522*u**3 - 16703568*u**2 + 8355872*u = 0.
-2044, 0, 1
What is y in 3*y**2 - 63222*y + 333085107 = 0?
10537
Suppose -4*a**3 - 2448*a**2 + 2460*a + 4904 = 0. Calculate a.
-613, -1, 2
Suppose -3*k**2/2 - 120327*k/4 + 60165/4 = 0. Calculate k.
-20055, 1/2
Solve -9*m**2/5 + 1212*m/5 - 31968/5 = 0.
36, 296/3
Determine f, given that -3*f**4 + 1185*f**3 + 10827*f**2 + 32643*f + 32724 = 0.
-3, 404
Factor 66*x**3 + 88178*x**2 + 29453456*x + 892448.
2*(x + 668)**2*(33*x + 1)
Factor -3*y**3 - 54375*y**2 - 246359529*y + 246413907.
-3*(y - 1)*(y + 9063)**2
Factor 5*d**2 + 5145*d + 10270.
5*(d + 2)*(d + 1027)
Factor -4*q**2/3 + 4268*q + 25656.
-4*(q - 3207)*(q + 6)/3
Find j, given that 4*j**3 + 1152*j**2 - 21964*j + 20808 = 0.
-306, 1, 17
Factor 5*k**2 - 3235*k + 504350.
5*(k - 385)*(k - 262)
Find l, given that -l**2/4 + 10747*l/4 + 2687 = 0.
-1, 10748
Determine s so that -2*s**2 + 18956*s - 37904 = 0.
2, 9476
Suppose -2*n**2 + 4024*n + 201978 = 0. What is n?
-49, 2061
Factor -p**2/7 - 3071*p.
-p*(p + 21497)/7
Determine d, given that -2*d**2/3 - 1490*d/3 - 24024 = 0.
-693, -52
Factor 3*x**2/5 - 58593*x/5 + 234324/5.
3*(x - 19527)*(x - 4)/5
Suppose 5*l**5 + 95*l**4 - 925*l**3 - 275*l**2 + 2920*l - 1820 = 0. What is l?
-26, -2, 1, 7
Factor 2*x**2/9 - 92314*x/9 - 461620/9.
2*(x - 46162)*(x + 5)/9
Factor -9*w**3/10 + 1038549*w**2/5 - 1384729*w/10 + 115394/5.
-(w - 230788)*(3*w - 1)**2/10
Determine h so that -2*h**4/7 + 60*h**3 + 98694*h**2/7 - 1811160*h - 1822389192/7 = 0.
-129, 234
Factor -2*n**3/3 - 6464*n**2/3 - 103040*n/3 - 137216.
-2*(n + 8)**2*(n + 3216)/3
Factor -u**2/10 - 497*u/10 - 26781/5.
-(u + 158)*(u + 339)/10
Determine u so that 234*u**5/11 - 2928*u**4/11 + 3600*u**3/11 + 3588*u**2/11 - 3834*u/11 - 60 = 0.
-1, -2/13, 1, 5/3, 11
Solve 7*w**4 - 173*w**3 + 1014*w**2 - 592*w - 256 = 0 for w.
-2/7, 1, 8, 16
Find p, given that 4*p**2 + 8952*p + 446148 = 0.
-2187, -51
Determine w so that -w**5/4 - 1851*w**4/4 - 855619*w**3/4 + 866739*w**2/4 + 1073234*w + 643107 = 0.
-926, -1, 3
Let 20*z**5 + 348*z**4 + 196*z**3 - 11676*z**2 + 19080*z + 9504 = 0. What is z?
-12, -11, -2/5, 3
Factor m**2/5 - 17474*m/5 - 3495.
(m - 17475)*(m + 1)/5
Factor -f**5/2 + 1163*f**4/2 - 2321*f**3 + 3479*f**2 - 4637*f/2 + 1159/2.
-(f - 1159)*(f - 1)**4/2
What is o in 2500*o**4 + 489600*o**3 - 78384*o**2 + 3136*o = 0?
-196, 0, 2/25
Let 4*w**3/3 + 1456*w**2/3 - 44276*w/3 - 48608 = 0. What is w?
-392, -3, 31
Suppose -2*j**2 + 374080*j - 17491980800 = 0. What is j?
93520
Factor -2*m**3 - 116694*m**2 - 1702594560*m - 11912444600.
-2*(m + 7)*(m + 29170)**2
Solve -20*y**4 + 13665*y**3 + 96435*y**2 + 138050*y = 0.
-5, -2, 0, 2761/4
Determine h, given that 5*h**5 - 460*h**4 - 22295*h**3 - 301250*h**2 - 1464000*h - 2340000 = 0.
-15, -4, 130
Let -2*y**4 + 178*y**3 - 520*y**2 + 344*y = 0. What is y?
0, 1, 2, 86
Factor -2*q**3/3 - 103088*q**2 - 618520*q/3.
-2*q*(q + 2)*(q + 154630)/3
Suppose -3*n**3/2 - 1956*n**2 + 351042*n - 14806248 = 0. Calculate n.
-1468, 82
Determine u so that -2*u**4/3 + 7738*u**3/3 - 3338430*u**2 + 4382351150*u/3 - 59411075500/3 = 0.
14, 1285
Let -x**3/8 + 999*x**2 + 7993*x/8 = 0. What is x?
-1, 0, 7993
Let n**3/4 + 960*n**2 + 906048*n - 29984768 = 0. Calculate n.
-1936, 32
Suppose h**5/10 + 8*h**4/5 - 60*h**3 - 401*h**2 + 5719*h/10 + 4557/5 = 0. What is h?
-31, -7, -1, 2, 21
Solve -2*x**5/11 + 238*x**4/11 + 732*x**3/11 + 8*x**2/11 - 976*x/11 = 0.
-2, 0, 1, 122
Let -2*i**3 + 1142*i**2 - 44436*i = 0. What is i?
0, 42, 529
Find m such that -5*m**5 + 20*m**4 + 345*m**3 + 520*m**2 - 880*m = 0.
-4, 0, 1, 11
What is z in 3*z**5 - 57054*z**4 + 361646271*z**3 - 763796620020*z**2 - 1530125905200*z + 2293560936000 = 0?
-3, 1, 6340
Suppose 69*b**3/7 - 844*b**2/7 + 2676*b/7 - 576/7 = 0. Calculate b.
16/69, 6
Factor v**4 + 48*v**3 + 660*v**2 + 2800*v.
v*(v + 10)**2*(v + 28)
Find x such that -5*x**5 - 410*x**4 - 10880*x**3 - 92160*x**2 = 0.
-32, -18, 0
Suppose -2*y**3/13 + 1316*y**2/13 + 18816*y/13 = 0. Calculate y.
-14, 0, 672
Factor -k**3/3 + 8*k**2/3 + 6787*k/3 - 6794/3.
-(k - 86)*(k - 1)*(k + 79)/3
Solve 2*c**4 - 17948*c**3 + 40266336*c**2 + 17948*c - 40266338 = 0.
-1, 1, 4487
Suppose -2*a**5/7 - 220*a**4/7 - 7032*a**3/7 - 45764*a**2/7 + 40502*a - 32928 = 0. Calculate a.
-49, -16, 1, 3
Factor j**3 + 4117*j**2 - 16481*j + 12363.
(j - 3)*(j - 1)*(j + 4121)
Suppose -4*k**5 + 25034*k**4/5 + 719179*k**3/5 + 13538431*k**2/10 + 41131979*k/10 - 877952 = 0. What is k?
-19/2, 1/5, 1280
Factor a**4/4 - 629*a**3/4 - 6365*a**2/4 - 15975*a/4.
a*(a -