58*a**2 - 52560*a + 47800.
2*(a - 10)*(a - 1)*(a + 2390)
Suppose 8*d**5/7 - 2602*d**4 + 10355790*d**3/7 + 12968654*d**2/7 + 2594642*d/7 = 0. Calculate d.
-1, -1/4, 0, 1139
Determine z, given that 40*z**5 - 2245*z**4 - 23160*z**3 + 5170*z**2 + 23120*z - 2925 = 0.
-9, -1, 1/8, 1, 65
Let -2*c**3/11 - 11554*c**2/11 + 23114*c/11 - 11558/11 = 0. What is c?
-5779, 1
Factor -q**2/2 - 1656073*q - 2742577781329/2.
-(q + 1656073)**2/2
Factor 5*k**3/2 - 3307*k**2/2 - 5301*k/2 - 1989/2.
(k - 663)*(k + 1)*(5*k + 3)/2
Factor -2*z**2/3 - 85480*z/3 - 913353800/3.
-2*(z + 21370)**2/3
Solve -3*y**5 + 459*y**4 - 9264*y**3 - 42660*y**2 - 44544*y = 0.
-2, 0, 29, 128
Factor i**3/3 - 86*i**2/3 + 1679*i/3 - 9394/3.
(i - 61)*(i - 14)*(i - 11)/3
Factor 3*m**2/5 + 1705056*m + 1211339984640.
3*(m + 1420880)**2/5
Suppose -3*f**4 - 1536*f**3 - 1503*f**2 + 15306*f - 12264 = 0. Calculate f.
-511, -4, 1, 2
Suppose 5*f**3 + 53910*f**2 = 0. Calculate f.
-10782, 0
Factor -3*i**3 - 78612*i**2 - 157212*i.
-3*i*(i + 2)*(i + 26202)
Factor -3*c**3/2 - 57*c**2/2 + 10875*c/2 - 194271/2.
-3*(c - 29)**2*(c + 77)/2
Determine g, given that g**4/4 + 109*g**3/4 + 3523*g**2/4 + 17535*g/4 - 132300 = 0.
-48, -35, 9
What is z in -11*z**4/4 - 33607*z**3/4 - 3055*z**2/2 = 0?
-3055, -2/11, 0
Factor -2*z**2 - 6524*z + 170976.
-2*(z - 26)*(z + 3288)
Suppose u**2/7 - 608*u/7 - 109185/7 = 0. Calculate u.
-145, 753
Find d, given that -2*d**4/5 - 2*d**3 + 2872*d**2/5 - 6552*d = 0.
-45, 0, 14, 26
Factor 4*r**3 + 319*r**2 - 8156*r - 17556.
(r - 22)*(r + 2)*(4*r + 399)
Suppose -4*g**2 - 40232*g + 564032 = 0. What is g?
-10072, 14
Suppose 3*z**5/8 + 173*z**4/8 - 6441*z**3/8 - 11093*z**2/8 - 2241*z/4 = 0. Calculate z.
-83, -1, -2/3, 0, 27
Let -h**2 - 33*h - 116 = 0. What is h?
-29, -4
Factor -2*m**2 + 82*m + 3300.
-2*(m - 66)*(m + 25)
Let -4*f**4 + 1852*f**3 - 229452*f**2 + 3474340*f - 10343632 = 0. Calculate f.
4, 13, 223
Determine s, given that -s**4/3 + 2036*s**3/3 - 1549078*s**2/3 + 173994524*s - 21909722043 = 0.
457, 561
Factor 2*y**2 - 114*y - 338688.
2*(y - 441)*(y + 384)
Factor -q**2 - 1186*q + 3567.
-(q - 3)*(q + 1189)
Factor 2*s**2 - 46928*s + 275279648.
2*(s - 11732)**2
Suppose -v**5/2 + 216*v**4 - 55389*v**3/2 + 902615*v**2 - 1723008*v + 847872 = 0. What is v?
1, 46, 192
Factor -k**2/5 + 76*k/5 + 1404.
-(k - 130)*(k + 54)/5
Find v such that 7*v**5/8 + 247*v**4 + 14039*v**3/8 + 1925*v**2/4 = 0.
-275, -7, -2/7, 0
Solve -o**4/3 - 52*o**3/3 - 482*o**2/3 - 1292*o/3 - 287 = 0.
-41, -7, -3, -1
Factor 2*i**2/7 - 1634*i/7 + 6504/7.
2*(i - 813)*(i - 4)/7
Let -j**2/9 + 538250*j/9 - 72428265625/9 = 0. What is j?
269125
What is i in 6*i**5/7 - 564*i**4/7 + 15966*i**3/7 - 16968*i**2 - 63960*i/7 + 484128/7 = 0?
-2, 2, 12, 41
Factor -3*w**4/4 - 2961*w**3 - 2928420*w**2 - 11666352*w.
-3*w*(w + 4)*(w + 1972)**2/4
Factor -5*k**4 - 12185*k**3 + 61050*k**2.
-5*k**2*(k - 5)*(k + 2442)
What is l in 2*l**2/15 - 38*l/15 - 644/5 = 0?
-23, 42
Factor 5*f**4 - 15465*f**3 + 11950575*f**2 + 11966045*f.
5*f*(f - 1547)**2*(f + 1)
Let -6*g**4/17 + 18134*g**3/17 + 48514*g**2/17 - 344886*g/17 + 108900/17 = 0. Calculate g.
-6, 1/3, 3, 3025
Let -12*o**3/5 - 10202*o**2/5 - 1686*o/5 + 2380 = 0. Calculate o.
-850, -7/6, 1
Factor -4*p**3 - 2420*p**2 - 33292*p - 115836.
-4*(p + 7)**2*(p + 591)
Suppose 35*f**3 - 37655*f**2 - 43080*f = 0. Calculate f.
-8/7, 0, 1077
Let -2*m**2 + 31462*m + 31464 = 0. Calculate m.
-1, 15732
Factor 4*j**5 - 44*j**4 + 108*j**3 - 100*j**2 + 32*j.
4*j*(j - 8)*(j - 1)**3
Let 3*o**2 - 48477*o - 48480 = 0. Calculate o.
-1, 16160
Solve -4*k**2 + 129696*k - 907676 = 0.
7, 32417
Factor -n**3/7 + 422*n**2 - 14751*n/7 + 17694/7.
-(n - 2949)*(n - 3)*(n - 2)/7
Let 5*z**3 + 3630*z**2 - 3665*z - 21810 = 0. What is z?
-727, -2, 3
Factor 2*u**5/5 - 76*u**4/5 + 186*u**3 - 720*u**2.
2*u**2*(u - 15)**2*(u - 8)/5
Factor -3*g**2/8 + 212181*g/4.
-3*g*(g - 141454)/8
Determine q, given that 3*q**4/5 + 351*q**3/5 - 378*q**2/5 - 2796*q/5 + 4248/5 = 0.
-118, -3, 2
Determine r, given that r**3/8 - 116231*r**2/8 - 14529*r = 0.
-1, 0, 116232
Find l, given that -5*l**4 + 38410*l**3 - 73766405*l**2 = 0.
0, 3841
Solve 11*n**4 - 417*n**3 - 737*n**2 + 10221*n + 10530 = 0.
-5, -1, 54/11, 39
Find g, given that 2*g**3/15 - 11462*g**2/3 + 136841952*g/5 + 136861056/5 = 0.
-1, 14328
Let 5*f**2/4 - 1065*f/4 - 20295/2 = 0. Calculate f.
-33, 246
Factor 2*m**3 - 153804*m**2 + 2956651170*m + 11829065672.
2*(m - 38453)**2*(m + 4)
Factor 5*o**3 - 693150*o**2 + 24022846125*o.
5*o*(o - 69315)**2
Suppose 13*m**4 - 1242*m**3 - 8428*m**2 - 14232*m - 4896 = 0. Calculate m.
-4, -2, -6/13, 102
Let 3*p**2 + 121686*p + 365031 = 0. What is p?
-40559, -3
Factor 191955*q**2/2 + 4205*q + 40.
5*(67*q + 2)*(573*q + 8)/2
Find c such that -2*c**5/11 + 48*c**4/11 + 502*c**3/11 - 7212*c**2/11 - 1456*c = 0.
-13, -2, 0, 11, 28
Let -5*v**2 + 71940*v - 258768180 = 0. Calculate v.
7194
Factor 4*n**3 - 191492*n**2 + 2291919872*n - 2291728384.
4*(n - 23936)**2*(n - 1)
Determine u so that -4*u**2 - 3004*u - 58480 = 0.
-731, -20
Factor -i**3/4 - 51*i**2 - 2343*i/4 + 6685.
-(i - 7)*(i + 20)*(i + 191)/4
Factor 4*q**3 - 344184*q**2 + 7403914116*q.
4*q*(q - 43023)**2
Find p such that -p**4 - 3032*p**3 - 102221*p**2 - 866422*p = 0.
-2998, -17, 0
Let -l**5/5 - 2*l**4 + 353*l**3/5 + 378*l**2/5 - 144*l = 0. Calculate l.
-24, -2, 0, 1, 15
Factor w**5 + 383*w**4 - 390*w**3 - 2304*w**2.
w**2*(w - 3)*(w + 2)*(w + 384)
Factor y**2/10 - 11669*y/10 + 17481.
(y - 11654)*(y - 15)/10
Factor -15*j**3 + 4955*j**2 - 16310*j - 13080.
-5*(j - 327)*(j - 4)*(3*j + 2)
Suppose 3*p**5/2 + 51*p**4 + 231*p**3 + 402*p**2 + 615*p/2 + 87 = 0. Calculate p.
-29, -2, -1
Solve -3*o**2 - 7671*o + 15354 = 0 for o.
-2559, 2
Suppose -196*r**5 + 94164*r**4 + 54052*r**3 - 86468*r**2 - 53856*r - 7696 = 0. Calculate r.
-1, -2/7, 1, 481
Factor -5*u**3 + 31505*u**2 + 568710*u.
-5*u*(u - 6319)*(u + 18)
Suppose -91*x**5/5 + 57787*x**4/5 + 172904*x**3/5 - 3464*x**2/5 - 46448*x + 5104/5 = 0. Calculate x.
-2, 2/91, 1, 638
Solve -x**2/4 - 53*x/2 - 2665/4 = 0 for x.
-65, -41
Factor 5*r**4 + 421025*r**3 + 8863313040*r**2 + 8862892020*r.
5*r*(r + 1)*(r + 42102)**2
Let 3*d**5/5 - 39*d**4/5 - 339*d**3/5 + 2463*d**2/5 + 11352*d/5 - 2688 = 0. What is d?
-7, -5, 1, 8, 16
Factor -c**3 + 3194*c**2 - 2537585*c - 20505608.
-(c - 1601)**2*(c + 8)
Factor 4*t**4/7 - 64*t**3/7 + 256*t**2/7.
4*t**2*(t - 8)**2/7
Solve 2*d**3/7 - 3242*d**2/7 - 22808*d/7 + 26048/7 = 0.
-8, 1, 1628
Find v such that -v**4 - 163*v**3 - 1068*v**2 + 3924*v + 28080 = 0.
-156, -6, 5
Solve -2*o**3 + 55940*o**2 - 223736*o + 223728 = 0.
2, 27966
Solve -2*i**2/11 - 12756*i/11 + 217430/11 = 0.
-6395, 17
Suppose -3*u**5 + 336*u**4 + 684*u**3 + 6*u**2 - 681*u - 342 = 0. What is u?
-1, 1, 114
Determine d so that d**3 + 7258*d**2 + 14513*d + 7256 = 0.
-7256, -1
What is u in -3*u**4 - 15774*u**3 - 20750688*u**2 - 41438304*u = 0?
-2628, -2, 0
Suppose 2*z**4/7 + 6*z**3 + 208*z**2/7 - 24*z - 864/7 = 0. What is z?
-12, -9, -2, 2
Solve 14*k**4 + 54*k**3 - 590*k**2 + 522*k = 0 for k.
-9, 0, 1, 29/7
Factor 2*c**2/13 - 14224*c/13 - 13152.
2*(c - 7124)*(c + 12)/13
Solve -2*x**5 + 16200*x**4 + 162152*x**3 + 389300*x**2 - 162150*x - 405500 = 0 for x.
-5, -1, 1, 8110
Factor 3*l**3/2 + 51*l**2/2 - 6027*l + 104280.
3*(l - 40)*(l - 22)*(l + 79)/2
Factor 5*z**3 - 7515*z**2 - 45270*z.
5*z*(z - 1509)*(z + 6)
Factor h**4/4 - 29*h**3/2 - 46*h**2 + 1000*h - 2400.
(h - 60)*(h - 4)**2*(h + 10)/4
Solve -3*i**5 + 219*i**4 - 1485*i**3 - 103275*i**2 = 0 for i.
-17, 0, 45
Solve -3*b**3/2 - 13131*b**2/2 + 3*b/2 + 13131/2 = 0 for b.
-4377, -1, 1
Suppose -100*t**5 + 11980*t**4 - 195528*t**3 - 1230992*t**2/5 - 500128*t/5 - 13440 = 0. What is t?
-2/5, 21, 100
Suppose -68*s**4 + 872*s**3 - 1444*s**2 - 14672*s + 37632 = 0. What is s?
-4, 48/17, 7
Determine v, given that -v**3 + 18*v**2 + 235*v + 216 = 0.
-8, -1, 27
Factor 2*s**3/3 + 82132*s**2/3 + 281096768*s + 562084032.
2*(s + 2)*(s + 20532)**2/3
Determine z so that -2*z**3/5 + 20978*z**2/5 - 10999814*z - 11004010 = 0.
-1, 5245
Find n such that -8*n**2 + 10846*n - 18956 = 0.
7/4, 1354
Solve -m**5/2 - 535*m**4/4 - 2903*m**3/4 - 2759*m**2/2 - 1049*m - 262 = 0 for m.
-262, -2, -1, -1/2
Let -2*h**5/15 + 10*h**4/3 + 842*h**3/15 - 4042*h**2/3 - 1400*h = 0. Calculate h.
-20, -1