204*p**2/7 - 82530048*p/7 + 123653538/7 = 0. Calculate p.
3, 2621
What is n in 3*n**2 + 3186*n + 34683 = 0?
-1051, -11
Factor 2*g**2 - 287996*g + 10367712002.
2*(g - 71999)**2
Suppose 2*k**2 + 2570*k + 688848 = 0. What is k?
-904, -381
Factor -w**3 - 192*w**2 - 2705*w - 8850.
-(w + 5)*(w + 10)*(w + 177)
Find k such that 4*k**3/3 + 21820*k**2/3 + 217756*k/3 - 79860 = 0.
-5445, -11, 1
Determine m so that -2*m**5 + 72*m**4 - 354*m**3 - 212*m**2 + 936*m + 720 = 0.
-1, 2, 6, 30
Factor 2*k**3/7 + 472*k**2/7 - 12822*k/7 + 59508/7.
2*(k - 19)*(k - 6)*(k + 261)/7
Factor -2*z**3/5 + 28*z**2 - 2478*z/5 + 2484.
-2*(z - 46)*(z - 15)*(z - 9)/5
Determine k, given that -k**3/2 + 57*k**2 - 2573*k/2 = 0.
0, 31, 83
Factor -2*w**4 + 1530*w**3 - 294894*w**2 + 870966*w.
-2*w*(w - 381)**2*(w - 3)
Let 3*y**3/2 - 789*y**2/2 + 27969*y/2 - 27183/2 = 0. Calculate y.
1, 41, 221
Let -2*i**3/5 + 6464*i**2/5 - 5255082*i/5 + 10381284 = 0. What is i?
10, 1611
Factor -h**5 + 143*h**4 - 2104*h**3 + 9272*h**2 - 16336*h + 10160.
-(h - 127)*(h - 10)*(h - 2)**3
Factor -c**4 - 80*c**3 + 12246*c**2 + 24728*c + 12403.
-(c - 79)*(c + 1)**2*(c + 157)
Determine c so that 2*c**2/3 - 776*c/3 + 6050 = 0.
25, 363
What is g in 3*g**4 - 159*g**3 - 1212*g**2 - 2844*g - 2160 = 0?
-3, -2, 60
Factor 14*b**2 - 842*b - 8556.
2*(b - 69)*(7*b + 62)
Find x, given that 2*x**2/11 + 654*x + 28744/11 = 0.
-3593, -4
Solve 20*r**3 - 1878*r**2 - 12188*r - 1200 = 0.
-6, -1/10, 100
Factor 4*m**2/9 - 4894*m/9 + 2444/3.
2*(m - 1222)*(2*m - 3)/9
Solve -x**4/3 + 90440*x**3/3 - 681766850*x**2 + 20446223000*x/3 - 51109905625/3 = 0.
5, 45215
Factor -633*w**3/7 + 1149*w**2/7 - 516*w/7.
-3*w*(w - 1)*(211*w - 172)/7
Find a such that -5*a**5 - 865*a**4 - 4240*a**3 - 6740*a**2 - 3360*a = 0.
-168, -2, -1, 0
Suppose y**5/3 - 31*y**4/3 + 40*y**3/3 + 4916*y**2/3 - 12992*y/3 - 238336/3 = 0. Calculate y.
-8, 14, 19
Let 49*f**5 + 47838*f**4 + 11730433*f**3 + 26625264*f**2 + 15178816*f = 0. Calculate f.
-487, -8/7, 0
Suppose 2*n**4 - 366*n**3 + 3577*n**2/2 - 1515*n + 356 = 0. Calculate n.
1/2, 4, 178
Solve -2*w**4/7 + 22*w**3/7 - 38*w**2/7 + 18*w/7 = 0 for w.
0, 1, 9
Determine i, given that 2*i**4/5 - 16866*i**3 + 888817108*i**2/5 + 2667041664*i/5 + 1778140224/5 = 0.
-2, -1, 21084
Factor -93*x**2/4 + 1542*x - 3456.
-3*(x - 64)*(31*x - 72)/4
Find u, given that u**4 + 32*u**3/3 - 886*u**2/3 - 1280*u - 975 = 0.
-65/3, -3, -1, 15
Find q, given that -q**3/2 - 472*q**2 - 5637*q/2 - 4221 = 0.
-938, -3
Determine m so that -2*m**5 + 518*m**4 - 23936*m**3 - 1239176*m**2 - 12128512*m - 10913792 = 0.
-16, -1, 146
Let o**4/6 + 85*o**3/6 + 55*o**2/2 - 85*o/6 - 83/3 = 0. Calculate o.
-83, -2, -1, 1
Let 2*z**2/11 + 39852*z/11 + 198522738/11 = 0. Calculate z.
-9963
Let -3*y**3 + 51*y**2 - 33*y - 1815 = 0. Calculate y.
-5, 11
Factor w**4/5 + 38404*w**3/5 - 76812*w**2/5.
w**2*(w - 2)*(w + 38406)/5
Let -4136*b**5 + 2020*b**4 + 10364*b**3 + 4256*b**2 + 48*b = 0. Calculate b.
-1, -1/2, -6/517, 0, 2
Factor 5*s**2 + 1475*s + 36180.
5*(s + 27)*(s + 268)
Suppose 6*u**4/5 + 1012*u**3/5 + 4592*u**2/5 - 64*u/5 - 10496/5 = 0. Calculate u.
-164, -4, -2, 4/3
Factor -4*d**4 - 116*d**3 - 932*d**2 - 2620*d - 1800.
-4*(d + 1)*(d + 5)**2*(d + 18)
Suppose o**2 - 30075*o + 240536 = 0. What is o?
8, 30067
Factor o**4 - 1795*o**3 + 42696*o**2 - 340544*o + 906752.
(o - 1771)*(o - 8)**3
Let -2*w**4/9 + 20804*w**3/9 + 291520*w**2/9 + 444352*w/3 + 222208 = 0. Calculate w.
-6, -4, 10416
Factor -2*b**4/21 - 20462*b**3/21 + 40930*b**2/21 - 6822*b/7.
-2*b*(b - 1)**2*(b + 10233)/21
Factor -2*l**3 - 106*l**2 - 1350*l + 1458.
-2*(l - 1)*(l + 27)**2
Factor 7*t**2 + 340*t + 1408.
(t + 44)*(7*t + 32)
Solve 10*j**4 - 624*j**3 + 838*j**2 + 984*j - 488 = 0 for j.
-1, 2/5, 2, 61
Determine u, given that -15*u**2 - 7659*u - 7644 = 0.
-2548/5, -1
Find u such that 4*u**4 + 592*u**3 - 12*u**2 - 1784*u - 1184 = 0.
-148, -1, 2
Factor -5*z**3 + 8040*z**2 - 4253625*z + 737766630.
-5*(z - 597)**2*(z - 414)
Solve -2*n**2/9 + 4394*n/3 = 0 for n.
0, 6591
Find k, given that 2704*k**5 + 162448*k**4 + 2738116*k**3 + 8689648*k**2 + 656320*k + 12544 = 0.
-28, -4, -1/26
Let -m**3/2 - 1619*m**2/2 - 536375*m/2 + 100296875/2 = 0. Calculate m.
-875, 131
Let -5*i**3 - 46483*i**2 + 18594*i = 0. What is i?
-9297, 0, 2/5
What is r in 4*r**5 - 16*r**4 + 16*r**3 + 8*r**2 - 20*r + 8 = 0?
-1, 1, 2
Determine t, given that 6*t**3/17 + 23042*t**2/17 - 107670*t/17 - 38450/17 = 0.
-3845, -1/3, 5
What is s in 4*s**3 - 3568*s**2 + 137920*s - 1363200 = 0?
20, 852
Determine i, given that -868*i**2/17 - 454*i/17 + 24/17 = 0.
-4/7, 3/62
Factor -545*t**5 + 11220*t**4.
-5*t**4*(109*t - 2244)
Suppose 1700*u**4/3 + 2880340*u**3/3 + 3793172*u**2/3 + 480836*u + 40632 = 0. Calculate u.
-1693, -3/5, -2/17
Find t, given that -3*t**3 - 99*t**2 - 78*t + 576 = 0.
-32, -3, 2
Factor 14*f**2/3 + 18874*f + 56580.
2*(f + 3)*(7*f + 28290)/3
Solve t**4/7 + 3910*t**3/7 + 3909*t**2/7 = 0 for t.
-3909, -1, 0
What is s in 7*s**2/2 - 50*s + 14 = 0?
2/7, 14
Factor -k**4/5 + 1107*k**3/5 + 888*k**2 + 4444*k/5.
-k*(k - 1111)*(k + 2)**2/5
Suppose -2*i**3 - 19372*i**2 - 19370*i = 0. What is i?
-9685, -1, 0
Solve -d**2/4 - 55*d + 1875 = 0.
-250, 30
Let 48*v**5 + 51*v**4 - 1581*v**3 + 2733*v**2 - 1167*v - 84 = 0. What is v?
-7, -1/16, 1, 4
Factor 5*f**2 - 1087480*f + 59130637520.
5*(f - 108748)**2
Determine r, given that 36*r**5/5 + 4872*r**4/5 - 13196*r**3/5 + 7168*r**2/5 - 1104*r/5 = 0.
-138, 0, 1/3, 2
Factor -x**3 + 469*x**2 - 9955*x + 54087.
-(x - 447)*(x - 11)**2
Factor -r**2 + 18*r - 77.
-(r - 11)*(r - 7)
Factor 3*z**2 - 3282*z + 226440.
3*(z - 1020)*(z - 74)
Factor -3*l**2 + 95982*l - 479835.
-3*(l - 31989)*(l - 5)
Factor 2*j**4 - 916*j**3 + 24882*j**2.
2*j**2*(j - 429)*(j - 29)
Factor -3*j**2 + 630090*j + 1260192.
-3*(j - 210032)*(j + 2)
Factor s**2 + 673*s - 90620.
(s - 115)*(s + 788)
Factor 2*s**2/7 + 1280*s/7 + 6350/7.
2*(s + 5)*(s + 635)/7
Suppose 3212*p**5/3 + 3200*p**4/3 - 6436*p**3/3 + 8*p**2 = 0. What is p?
-2, 0, 3/803, 1
Factor -3*x**2 - 5877*x + 407226.
-3*(x - 67)*(x + 2026)
Factor -2*f**3 + 54*f**2 + 32*f - 4224.
-2*(f - 24)*(f - 11)*(f + 8)
Find v, given that -5*v**4 - 3470*v**3 - 3455*v**2 + 6930*v = 0.
-693, -2, 0, 1
Suppose -3*q**2 - 506616*q - 506613 = 0. What is q?
-168871, -1
Find t such that -9664*t**2 + 4*t = 0.
0, 1/2416
Factor -c**2 + 1767*c - 8810.
-(c - 1762)*(c - 5)
Factor -5*p**3 - 656045*p**2 - 21520080120*p - 21519424080.
-5*(p + 1)*(p + 65604)**2
Let 4*l**4 - 704*l**3 + 3416*l**2 + 704*l - 3420 = 0. What is l?
-1, 1, 5, 171
Determine j, given that 11*j**4/12 + 100*j**3 + 1591*j**2/4 + 1261*j/3 + 35 = 0.
-105, -2, -1/11
Factor 2*x**2 + 80248*x - 80250.
2*(x - 1)*(x + 40125)
Determine f so that 32*f**5/5 - 7426*f**4/5 + 29776*f**3/5 - 31016*f**2/5 + 1824*f/5 = 0.
0, 1/16, 2, 228
Factor 3*x**2 + 3045*x + 68448.
3*(x + 23)*(x + 992)
Factor 15*z**2 + 876550*z + 584360.
5*(z + 58436)*(3*z + 2)
Solve 4*k**5 + 36280*k**4 + 81974100*k**3 - 1318996640*k**2 + 4291136080*k - 3962659008 = 0 for k.
-4543, 2, 12
Factor -5*o**2/2 + 925*o/2 + 5390.
-5*(o - 196)*(o + 11)/2
Determine w, given that 5*w**4 + 130570*w**3 + 261120*w**2 = 0.
-26112, -2, 0
Factor -2*n**3 - 728*n**2 - 67680*n - 259200.
-2*(n + 4)*(n + 180)**2
Factor 807*f**3/5 + 108126*f**2/5 + 724203*f - 53868/5.
3*(f + 67)**2*(269*f - 4)/5
Factor 2*a**3/13 + 27658*a**2/13 + 95689728*a/13 + 477757440/13.
2*(a + 5)*(a + 6912)**2/13
Factor -2*u**2 + 39584*u.
-2*u*(u - 19792)
Let 2*d**5 - 142*d**4 + 1054*d**3 - 2954*d**2 + 3552*d - 1512 = 0. What is d?
1, 2, 3, 63
Determine u, given that -2*u**3 - 36*u**2 - 142*u + 180 = 0.
-10, -9, 1
Determine l so that -l**3/7 + 65*l**2/7 + 2782*l - 5600 = 0.
-112, 2, 175
Find f such that -4*f**4 - 448*f**3 + 14956*f**2 + 83848*f + 68448 = 0.
-138, -4, -1, 31
Let -2*s**2 + 590814*s = 0. Calculate s.
0, 295407
Factor -w**2 + 168*w - 4655.
-(w - 133)*(w - 35)
Solve -5*n**2 - 99295*n = 0 for n.
-19859, 0
Factor 31705*q**2 - 780*q + 4/5.
(85*q - 2)*(1865*q - 2)/5
What is y in -3*y**3/4 - 759*y**2/4 - 3348*y - 3159 = 0?
-234, -18, -1
Factor 3*t**4/5 - 408*t**3/5 - 336*t**2.
3*t**2*(t - 140)*(t + 4)/5
What is t in -t**4/11 - 12*t**3/11 + 39*t**2/11 + 362*t/11 + 312/11 = 0?
-13, -4, -1, 6
Solve -138*c**5/7 + 6*c**4/7 + 2346*c**3/7 - 102*c**2/7 - 2208*