*t**2 + 2430*t + 216 = 0.
-12/11, -3/32, 3
Factor -2*q**2 + 394944*q - 19497595392.
-2*(q - 98736)**2
Determine r, given that -2*r**4/7 + 5634*r**3/7 - 565612*r**2 - 11917320*r/7 - 7952400/7 = 0.
-2, -1, 1410
Let -2*p**4 + 2242*p**3 + 4490*p**2 + 2246*p = 0. What is p?
-1, 0, 1123
Solve b**2/7 + 61*b/7 + 900/7 = 0.
-36, -25
Factor 94*u**4/3 - 185*u**3/3 - 2*u**2.
u**2*(u - 2)*(94*u + 3)/3
Factor -2*z**3 + 58*z**2 + 328*z + 408.
-2*(z - 34)*(z + 2)*(z + 3)
What is f in f**4 - 16*f**3 + 69*f**2 - 94*f + 40 = 0?
1, 4, 10
Find j, given that 5*j**2 - 705*j - 3650 = 0.
-5, 146
Suppose -r**5/10 - 3*r**4/10 + 551*r**3/10 - 789*r**2/2 + 3127*r/5 - 1428/5 = 0. What is r?
-28, 1, 6, 17
Suppose -3*y**3 + 403902*y**2 - 13594735467*y = 0. Calculate y.
0, 67317
Let -3*l**2 - 921*l + 22770 = 0. What is l?
-330, 23
Find j, given that j**3 + 66*j**2 - 427*j + 360 = 0.
-72, 1, 5
Factor -1779556*t**3 + 31898608*t**2 + 2398700*t + 45000.
-4*(t - 18)*(667*t + 25)**2
Suppose -6*p**2 + 1878*p/5 + 756/5 = 0. Calculate p.
-2/5, 63
Factor 2*j**2/5 + 89792*j/5 - 71840.
2*(j - 4)*(j + 44900)/5
Solve -2*j**3/13 - 840*j**2/13 + 52250*j/13 = 0.
-475, 0, 55
Let -4*v**3 + 31556*v**2 + 94696*v + 63136 = 0. Calculate v.
-2, -1, 7892
What is f in -f**3 + 23*f**2 + 590*f - 2664 = 0?
-18, 4, 37
Determine g, given that 67*g**3/7 + 873*g**2/7 + 1500*g/7 + 44/7 = 0.
-11, -2, -2/67
Solve -2*o**2/23 + 254314*o/23 = 0.
0, 127157
Find b, given that 10*b**2 - 3475*b + 1735 = 0.
1/2, 347
Let -5*g**2 + 18305*g - 18300 = 0. What is g?
1, 3660
Solve 4*z**4 + 216920*z**3 + 2940025092*z**2 - 23530613920*z + 47068170304 = 0 for z.
-27119, 4
Factor 3*v**3/2 - 195*v**2/2 + 441*v + 540.
3*(v - 60)*(v - 6)*(v + 1)/2
Solve 2*b**5/9 - 278182*b**4/9 + 9672179462*b**3/9 + 7523826278*b**2 + 17198076720*b + 12898835736 = 0 for b.
-3, -2, 69549
What is r in r**5/5 - 103*r**4/5 - 554*r**3/5 + 1512*r**2/5 = 0?
-7, 0, 2, 108
Suppose 65*a**3 + 34520*a**2 - 31925*a - 2660 = 0. What is a?
-532, -1/13, 1
Factor 3*f**2/4 + 240423*f/2 + 19267739643/4.
3*(f + 80141)**2/4
Find l such that 3*l**3 + 291*l**2 + 6906*l - 7200 = 0.
-50, -48, 1
Factor 64*a**2 - 1150*a.
2*a*(32*a - 575)
Factor -22*o**2/3 - 8*o + 30856/3.
-2*(o + 38)*(11*o - 406)/3
Solve 7*w**3/2 + 22866*w**2 + 6533*w/2 = 0.
-6533, -1/7, 0
Suppose 35*l**5 - 3685*l**4 + 25270*l**3 - 27500*l**2 + 5880*l = 0. Calculate l.
0, 2/7, 1, 6, 98
Determine n, given that 5*n**4/2 - 2640*n**3 - 15*n**2/2 + 7925*n - 5280 = 0.
-2, 1, 1056
Factor 2*z**5 - 73214*z**4 + 670072830*z**3 - 669999618*z**2.
2*z**2*(z - 18303)**2*(z - 1)
Find f, given that -2*f**4/13 - 18*f**3/13 + 1058*f**2/13 - 8838*f/13 + 20088/13 = 0.
-31, 4, 9
Solve -666*g**3 - 206456*g**2 - 15999410*g + 96100 = 0 for g.
-155, 2/333
Factor 2*i**3/9 - 1396*i**2/3 - 470*i + 83800/9.
2*(i - 2095)*(i - 4)*(i + 5)/9
Find m, given that 3*m**3/2 + 1491*m**2/2 + 78837*m/2 + 77349/2 = 0.
-437, -59, -1
Factor -2*v**2 - 19858*v - 59556.
-2*(v + 3)*(v + 9926)
Let -4*j**5/9 - 616*j**4/9 - 12832*j**3/9 + 1895296*j**2/9 + 88632832*j/9 + 583585792/9 = 0. What is j?
-68, -8, 58
Factor -2*c**5 - 1655*c**4 + 6623*c**3/8 - 207*c**2/2.
-c**2*(c + 828)*(4*c - 1)**2/8
Determine g, given that 16*g**2 + 291980*g - 72996 = 0.
-18249, 1/4
Let -4*g**3 + 2052*g**2 + 4132*g - 6180 = 0. Calculate g.
-3, 1, 515
Suppose 2*a**4/9 + 4*a**3 - 32*a**2/9 - 512*a/3 = 0. Calculate a.
-16, -8, 0, 6
Find z such that -4*z**2 + 292*z + 7440 = 0.
-20, 93
Factor -2*t**2/21 + 1788*t - 8391978.
-2*(t - 9387)**2/21
Factor 2*k**2/11 + 21568*k/11.
2*k*(k + 10784)/11
Factor -w**3 - 78*w**2 + 1816*w + 8448.
-(w - 22)*(w + 4)*(w + 96)
Let 15*q**4 - 7630*q**3 + 1279720*q**2 - 70830880*q + 46654080 = 0. Calculate q.
2/3, 132, 188
Factor 3*g**3 - 108*g**2 - 1083*g + 1188.
3*(g - 44)*(g - 1)*(g + 9)
Factor 4*y**3/9 - 17744*y**2/9 - 1972*y.
4*y*(y - 4437)*(y + 1)/9
Suppose 2*p**5 + 980*p**4 - 6964*p**3 - 2872*p**2 + 54770*p + 49700 = 0. What is p?
-497, -2, -1, 5
Factor -r**2/5 + 1222*r/5 - 7296/5.
-(r - 1216)*(r - 6)/5
Solve 2*d**3/7 + 3258*d**2/7 + 193890*d + 3517850 = 0.
-805, -19
Factor y**4 - 408*y**3 + 26077*y**2 + 53382*y + 26896.
(y - 328)*(y - 82)*(y + 1)**2
Suppose -2*s**4 - 604*s**3 + 29480*s**2 - 334928*s = 0. Calculate s.
-346, 0, 22
What is h in 4*h**4/7 - 24*h**3 + 1044*h**2/7 + 9920*h/7 = 0?
-5, 0, 16, 31
What is s in -5*s**2 + 1428255*s - 1428250 = 0?
1, 285650
Determine w so that -5*w**5 - 105*w**4 - 310*w**3 + 3250*w**2 + 7035*w + 3575 = 0.
-13, -11, -1, 5
Determine t, given that t**5 + 349*t**4 + 11143*t**3 + 138843*t**2 + 776304*t + 1632960 = 0.
-315, -9, -8
Factor 2*o**3/3 + 60*o**2 + 1350*o.
2*o*(o + 45)**2/3
Factor -2*t**5/5 - 140*t**4 - 91346*t**3/5 - 1053360*t**2 - 113221152*t/5.
-2*t*(t + 76)**2*(t + 99)**2/5
Factor u**3/3 + 303*u**2 + 47024*u/3 + 15372.
(u + 1)*(u + 54)*(u + 854)/3
Determine s so that s**4/7 - 29*s**3 + 401*s**2/7 + 29*s - 402/7 = 0.
-1, 1, 2, 201
Factor -2*k**2/13 + 1868*k/13 + 688822/13.
-2*(k - 1217)*(k + 283)/13
Factor -z**3 + 330*z**2 - 29673*z + 394384.
-(z - 157)**2*(z - 16)
Suppose 3*t**4/4 - 15*t**3/2 + 81*t**2/4 - 3*t/2 - 30 = 0. Calculate t.
-1, 2, 4, 5
Determine b so that -b**5/3 - b**4/3 + 617*b**3/3 + 1895*b**2 - 2100*b = 0.
-15, 0, 1, 28
Factor p**2/3 + 13049*p/3 - 17404.
(p - 4)*(p + 13053)/3
Determine f so that f**2 + 368*f - 8169 = 0.
-389, 21
Factor -b**3/5 - 509*b**2/5 - 1014*b/5.
-b*(b + 2)*(b + 507)/5
Suppose 3*d**2 - 706872*d + 41639002032 = 0. What is d?
117812
Determine c, given that c**2/10 - 12889*c/10 + 12887/5 = 0.
2, 12887
Let -s**4 - 1090*s**3 + 46292*s**2 - 89310*s + 44109 = 0. Calculate s.
-1131, 1, 39
Determine a, given that -9*a**3/4 + 24099*a**2/4 + 6027*a = 0.
-1, 0, 8036/3
Solve 4*i**4 + 556*i**3 + 18468*i**2 - 38620*i + 19592 = 0 for i.
-79, -62, 1
Factor -2*s**2/17 + 3716*s/17 - 7296.
-2*(s - 1824)*(s - 34)/17
Determine w, given that -415*w**2 + 95442*w + 1840 = 0.
-8/415, 230
Factor 2*r**3/17 + 794*r**2/17 + 65056*r/17 - 2839352/17.
2*(r - 31)*(r + 214)**2/17
Suppose 3*p**3/4 - 399*p**2/4 - 4263*p/4 - 3861/4 = 0. What is p?
-9, -1, 143
Suppose -27*w**5 + 15993*w**4 - 2370936*w**3 + 774324*w**2 + 2109888*w - 1051392 = 0. Calculate w.
-1, 2/3, 296
Factor h**2 - 757*h/10 - 344.
(h - 80)*(10*h + 43)/10
Suppose -d**5 + 15*d**4 + 379*d**3 - 407*d**2 - 378*d + 392 = 0. Calculate d.
-14, -1, 1, 28
Let -6*s**2 - 392930*s + 261956 = 0. What is s?
-65489, 2/3
Factor r**2/5 + 856*r/5 - 1557.
(r - 9)*(r + 865)/5
Solve -2*h**3/9 + 1006*h**2/9 + 2372*h/3 + 1360 = 0.
-4, -3, 510
Factor 2*i**4/5 + 16696*i**3/5 + 34844552*i**2/5.
2*i**2*(i + 4174)**2/5
Determine f, given that -7*f**2 + 1136084*f + 324596 = 0.
-2/7, 162298
Suppose 4*u**5 - 344*u**4 - 2568*u**3 - 3376*u**2 + 2564*u + 3720 = 0. What is u?
-5, -2, -1, 1, 93
Determine d, given that d**5/4 - 215*d**4/4 - 218*d**3 - 219*d**2 = 0.
-2, 0, 219
Factor -2*f**4/5 - 2076*f**3/5 - 523994*f**2/5 + 7643832*f/5 - 27114248/5.
-2*(f - 7)**2*(f + 526)**2/5
Find i such that 13718*i**5/3 - 1223068*i**4/3 + 39629972*i**3/3 - 179783232*i**2 + 727256610*i + 2285995428 = 0.
-2, 381/19, 31
Solve b**5/3 - 8*b**4/3 - 29*b**3 + 302*b**2/3 - 208*b/3 = 0 for b.
-8, 0, 1, 2, 13
Suppose -2*c**3/3 + 262*c**2/3 + 1536*c + 4704 = 0. What is c?
-12, -4, 147
Let -k**3/4 + 21*k**2/4 + 1443*k/2 + 9520 = 0. What is k?
-32, -17, 70
Factor 7*c**3/4 + 4155*c**2 + 9867531*c/4 + 1408969/2.
(c + 1187)**2*(7*c + 2)/4
Suppose 3*w**3 - 4995*w**2 + 19944*w - 19932 = 0. What is w?
2, 1661
What is x in -2*x**4/11 + 932*x**3/11 - 930*x**2/11 = 0?
0, 1, 465
Factor 5*a**3/2 + 5155*a**2/2 - 128040*a + 1553760.
5*(a - 24)**2*(a + 1079)/2
What is f in 5*f**3 - 1819370*f**2 + 165505359845*f = 0?
0, 181937
Factor -4*k**2 + 9280*k.
-4*k*(k - 2320)
Factor y**2/3 - 1363*y - 24642.
(y - 4107)*(y + 18)/3
Determine u, given that -u**4/12 - 563*u**3/4 - 1125*u**2/4 - 1687*u/12 = 0.
-1687, -1, 0
What is z in z**5/5 - 53*z**4/5 - z**3 + 53*z**2 + 4*z/5 - 212/5 = 0?
-2, -1, 1, 2, 53
Solve 2*k**3/7 + 11296*k**2/7 + 135238*k/7 - 146536/7 = 0.
-5636, -13, 1
Find c such that 2*c**2 + 85478*c = 0.
-42739, 0
Find o such that -2*o**5/9 - 24926*o**4/3 + 16618*o**3 - 74782*o**2/9 = 0.
-37391, 0, 1
Let 4*x**5 + 312*x**4 + 2332*x**3 + 6552*x**2 + 7888*x + 3360 = 0. Calculate x.
-70, -3, -2, -1
Find y such that 20