3, 3347
Solve -3*t**4/4 - 1383*t**3/2 + 4869*t**2 - 15321*t/2 + 13935/4 = 0 for t.
-929, 1, 5
Determine i, given that 3*i**2/5 + 72*i/5 - 156/5 = 0.
-26, 2
Factor -2*p**2 + 870*p + 2628.
-2*(p - 438)*(p + 3)
Suppose 3*w**2 - 22152*w - 110835 = 0. Calculate w.
-5, 7389
Let 15*t**3 + 486114*t**2 + 3938349792*t - 1575417696 = 0. Calculate t.
-16204, 2/5
Find x such that x**5/3 - 38*x**4/3 + 304*x**3/3 - 694*x**2/3 + 623*x/3 - 196/3 = 0.
1, 7, 28
What is o in 3*o**2/4 + 5095*o/4 + 849/2 = 0?
-1698, -1/3
Suppose -5*r**4 + 1570*r**3 - 145045*r**2 + 3176600*r + 10878000 = 0. What is r?
-3, 37, 140
Find s such that 5*s**5 - 465*s**4 - 10910*s**3 - 45170*s**2 + 124905*s - 68365 = 0.
-11, 1, 113
Solve -3*c**2/8 - 33*c - 240 = 0.
-80, -8
Factor r**3/5 + 8*r**2/5 - 1263*r/5 + 738.
(r - 30)*(r - 3)*(r + 41)/5
Solve m**5/7 - 5*m**4 + 129*m**3/7 + 549*m**2 - 1134*m = 0 for m.
-9, 0, 2, 21
Factor 2*j**5/5 - 3462*j**4/5 + 1595088*j**3/5 - 82469728*j**2/5.
2*j**2*(j - 836)**2*(j - 59)/5
Let -3*f**2 - 420231*f - 420228 = 0. What is f?
-140076, -1
Solve -2*z**3/3 - 14548*z**2/3 - 14542*z/3 + 29092/3 = 0 for z.
-7273, -2, 1
Factor o**2 - 1727*o - 94340.
(o - 1780)*(o + 53)
Factor -4*i**3/9 - 72*i**2 + 64*i/9 + 1152.
-4*(i - 4)*(i + 4)*(i + 162)/9
Factor -a**3/2 + 8*a**2 + 101*a/2 + 42.
-(a - 21)*(a + 1)*(a + 4)/2
What is s in 5*s**4 - 80*s**3 + 370*s**2 - 280*s - 735 = 0?
-1, 3, 7
Factor -3*d**2 - 45840*d - 45837.
-3*(d + 1)*(d + 15279)
Factor 3*s**3 + 555*s**2 + 28896*s + 288444.
3*(s + 13)*(s + 86)**2
Let -10*h**5 + 4752*h**4/7 + 734*h**3/7 - 13056*h**2/7 + 9272*h/7 - 1632/7 = 0. What is h?
-2, 2/7, 3/5, 1, 68
Factor w**2 + 448*w - 21648.
(w - 44)*(w + 492)
Factor 4*b**4 + 8*b**3 - 144*b**2 - 288*b.
4*b*(b - 6)*(b + 2)*(b + 6)
Factor 3*i**4 - 1045*i**3 - 1752*i**2 + 700*i.
i*(i - 350)*(i + 2)*(3*i - 1)
Find g such that -2*g**3 + 54*g**2 - 102*g + 50 = 0.
1, 25
Determine i, given that 50*i**5 - 640*i**4 + 1258*i**3 + 1756*i**2 - 3072*i - 2880 = 0.
-1, 12/5, 10
Factor -t**4 - 3405*t**3 - 17007*t**2 - 23803*t - 10200.
-(t + 1)**2*(t + 3)*(t + 3400)
Let 5*j**5 + 260*j**4 - 1500*j**3 - 4250*j**2 + 1495*j + 3990 = 0. Calculate j.
-57, -2, -1, 1, 7
Find k such that 20*k**5 + 16555*k**4/6 - 217565*k**3/6 - 59065*k**2/3 + 102670*k - 49500 = 0.
-150, -2, 2/3, 1, 99/8
Factor 2*z**2/9 + 2944*z/9 - 5896/9.
2*(z - 2)*(z + 1474)/9
Factor -3*o**2/7 + 9783*o/7 - 9762.
-3*(o - 3254)*(o - 7)/7
Factor -2*k**2/7 - 15716*k/7 - 30874082/7.
-2*(k + 3929)**2/7
Factor -2*d**2/19 + 159880*d/19 + 319768/19.
-2*(d - 79942)*(d + 2)/19
Factor 2*y**2 - 278*y - 48480.
2*(y - 240)*(y + 101)
Factor 2*c**3 + 734*c**2 - 3732*c - 4464.
2*(c - 6)*(c + 1)*(c + 372)
Find x such that -x**4 - 627*x**3 - 33843*x**2 - 478529*x = 0.
-569, -29, 0
Find m such that 240*m**4 + 668*m**3 + 322*m**2 - 110*m - 4 = 0.
-2, -1, -1/30, 1/4
Factor -3*w**3 - 2610*w**2 + 5241*w + 7848.
-3*(w - 3)*(w + 1)*(w + 872)
Factor -2*m**5 - 64*m**4 - 572*m**3 - 960*m**2 - 450*m.
-2*m*(m + 1)**2*(m + 15)**2
Solve -2*i**3/13 - 11404*i**2/13 - 11402*i/13 = 0.
-5701, -1, 0
Factor 5*b**2/3 + 172670*b/3 + 1490746445/3.
5*(b + 17267)**2/3
Factor -2*t**2/9 - 18424*t/9 - 42430472/9.
-2*(t + 4606)**2/9
Let -5*m**2 + 1093130*m - 59746659845 = 0. Calculate m.
109313
Factor 4*m**3 + 170372*m**2 - 2726720*m + 10907904.
4*(m - 8)**2*(m + 42609)
Factor -4*a**2/9 - 29338*a/9 - 14668/9.
-2*(a + 7334)*(2*a + 1)/9
Factor g**2 + 110029*g + 220054.
(g + 2)*(g + 110027)
Factor x**2/4 + 2134*x + 178815/4.
(x + 21)*(x + 8515)/4
Factor u**3 - 26138*u**2 + 104540*u - 104536.
(u - 26134)*(u - 2)**2
Factor -3*k**3/2 - 45*k**2 - 549*k/2 - 231.
-3*(k + 1)*(k + 7)*(k + 22)/2
Suppose -5*v**4 - 19460*v**3 + 15*v**2 + 58370*v - 38920 = 0. What is v?
-3892, -2, 1
Factor -5*u**4/6 - 2890*u**3/3 - 11545*u**2/6 - 2885*u/3.
-5*u*(u + 1)**2*(u + 1154)/6
Factor f**2/5 + 71594*f/5 - 14319.
(f - 1)*(f + 71595)/5
Let 3*g**4 + 15*g**3 - 249*g**2 + 765*g - 702 = 0. Calculate g.
-13, 2, 3
Solve -5*t**4/2 - 135*t**3/2 - 405*t**2 = 0 for t.
-18, -9, 0
Factor y**3/8 + 381*y**2 + 2367621*y/8 + 34156215/4.
(y + 30)*(y + 1509)**2/8
Determine y, given that -y**2/3 + 16252*y/3 = 0.
0, 16252
Suppose -3*y**2 - 7527*y - 15042 = 0. What is y?
-2507, -2
Factor -153*m**4 + 2784*m**3 - 540*m**2.
-3*m**2*(m - 18)*(51*m - 10)
Let 4*i**5/5 - 12*i**4/5 - 108*i**3/5 + 236*i**2/5 - 24*i = 0. What is i?
-5, 0, 1, 6
Factor 3*p**2/2 - 20559*p/2 - 10281.
3*(p - 6854)*(p + 1)/2
Factor 3*b**2 - 2167*b - 3620.
(b - 724)*(3*b + 5)
Factor -3*g**2 - 429*g - 3618.
-3*(g + 9)*(g + 134)
Determine a so that 8*a**4 - 5*a**3 - 139*a**2 - 171*a - 45 = 0.
-3, -1, -3/8, 5
Suppose 4*r**3/7 - 132*r**2/7 - 19716*r/7 - 365180/7 = 0. Calculate r.
-31, 95
Find s such that 14*s**4 + 4854*s**3 + 410828*s**2 - 534864*s + 119168 = 0.
-196, -152, 2/7, 1
Determine c, given that -4*c**2/3 + 1216*c/3 - 13780 = 0.
39, 265
Solve 45*j**4 + 5455*j**3 - 5500*j**2 = 0.
-1100/9, 0, 1
Factor -5*a**3/6 - 56525*a**2/6 - 159725515*a/6 + 159782045/6.
-5*(a - 1)*(a + 5653)**2/6
Factor -2*g**2/3 - 20432*g/3 + 20438.
-2*(g - 3)*(g + 10219)/3
Factor -3*l**3/2 + 159*l**2 - 3642*l - 27900.
-3*(l - 62)*(l - 50)*(l + 6)/2
Suppose -a**2/9 - 665*a/9 + 74 = 0. What is a?
-666, 1
Determine x so that -x**4 + 1606*x**3 - 6407*x**2 - 1606*x + 6408 = 0.
-1, 1, 4, 1602
Factor -4*c**2 + 12540*c + 37656.
-4*(c - 3138)*(c + 3)
Find x such that -x**3/8 + 8785*x**2/8 + 4399*x/4 - 13179 = 0.
-4, 3, 8786
Solve -28*s**4 + 8472*s**3 - 634560*s**2 - 982528*s + 4435968 = 0 for s.
-24/7, 2, 152
Solve 2*d**3/11 + 88*d**2 - 3898*d/11 + 2928/11 = 0 for d.
-488, 1, 3
What is w in -9*w**4/2 + 945*w**3/4 + 122*w**2 - 581*w/4 - 53/2 = 0?
-1, -1/6, 2/3, 53
Determine f, given that -f**3 + 71044*f**2 - 142085*f + 71042 = 0.
1, 71042
Factor 5*f**3 - 365*f**2 - 1140*f.
5*f*(f - 76)*(f + 3)
Let -15*s**5 + 2391*s**4 + 1455*s**3 - 2391*s**2 - 1440*s = 0. Calculate s.
-1, -3/5, 0, 1, 160
Determine m, given that 3*m**2 + 8208*m - 140403 = 0.
-2753, 17
Suppose -m**4/4 + 75*m**3/4 - 256*m**2 + 537*m + 812 = 0. Calculate m.
-1, 4, 14, 58
Factor -u**2/5 + 7376*u/5 + 51681/5.
-(u - 7383)*(u + 7)/5
Factor -g**2 - 14473*g + 188318.
-(g - 13)*(g + 14486)
Suppose 2*z**2/3 - 928*z/3 + 107648/3 = 0. Calculate z.
232
Solve 21*h**2 - 12016*h - 21812 = 0.
-38/21, 574
Factor -457*k**4 - 3197*k**3 - 2728*k**2 + 12*k.
-k*(k + 1)*(k + 6)*(457*k - 2)
Solve -1120*n**5 - 1324*n**4 + 1144*n**3 + 1324*n**2 - 24*n = 0.
-6/5, -1, 0, 1/56, 1
Factor -2*u**3 + 3386*u**2 + 1342288*u + 120525216.
-2*(u - 2037)*(u + 172)**2
Factor t**3 - 83*t**2 + 1680*t + 1764.
(t - 42)**2*(t + 1)
Factor r**3/7 + 480*r**2/7 - 54051*r/7 - 7790.
(r - 95)*(r + 1)*(r + 574)/7
Suppose -3*w**2/5 - 3168*w/5 - 633 = 0. What is w?
-1055, -1
Let 3*l**5 + 57*l**4 - 78*l**3 - 360*l**2 = 0. What is l?
-20, -2, 0, 3
Factor 2*y**3 - 15144*y**2 + 120984*y + 302560.
2*(y - 7564)*(y - 10)*(y + 2)
Factor -52*v**2 - 87824*v + 6756.
-4*(v + 1689)*(13*v - 1)
Find i, given that -i**3/2 - 1701*i**2/2 + i/2 + 1701/2 = 0.
-1701, -1, 1
Suppose -23*j**2/5 + 54*j/5 = 0. Calculate j.
0, 54/23
Factor -9*b**2 + 7852*b - 3488.
-(b - 872)*(9*b - 4)
Suppose 3*j**2 - 128763*j - 128766 = 0. Calculate j.
-1, 42922
Factor -196*t**3 + 280*t**2 - 64*t.
-4*t*(7*t - 8)*(7*t - 2)
What is o in -2*o**5/17 - 286*o**4/17 + 98162*o**3/17 + 7803934*o**2/17 - 86152080*o - 86605344 = 0?
-204, -1, 133
Find a, given that 20*a**5 + 215*a**4 - 925*a**3 - 10*a**2 + 2660*a - 1960 = 0.
-14, -7/4, 1, 2
Factor -4*t**3 - 70668*t**2 + 141348*t - 70676.
-4*(t - 1)**2*(t + 17669)
Factor 3*f**3 + 7263*f**2 + 4406805*f + 13155129.
3*(f + 3)*(f + 1209)**2
Determine l, given that l**3/5 + 453*l**2/5 - 25254*l/5 - 52312/5 = 0.
-503, -2, 52
Suppose -4*s**5/5 - 148*s**4/5 + 84*s**3/5 + 8212*s**2/5 - 16*s - 8064/5 = 0. What is s?
-36, -8, -1, 1, 7
Determine r so that 3*r**3 - 19844*r**2 - 26463*r - 6616 = 0.
-1, -1/3, 6616
Let 6*x**3 + 891*x**2 - 4119*x + 1836 = 0. Calculate x.
-153, 1/2, 4
Determine k so that k**5 + 42*k**4 + 347*k**3 - 1114*k**2 - 7356*k - 8120 = 0.
-29, -14, -2, 5
Factor 5*s**3 - 5200*s**2 + 195460*s + 699585040.
5*(s - 674)**2*(s + 308)
Find l such that -3*l**5/5 + 3504*l**4/5 + 6*l**3/5 - 7008*l**2/5 - 3*l/5 + 3504/5 = 0.
-1, 1, 1168
Solve -f**2 + 300*f - 19584 = 0.
96, 204
Facto