933*r**2/2 + 466*r - 621/4 = 0.
1, 621
Find c, given that -3*c**2/8 + 25425*c/8 - 228339/4 = 0.
18, 8457
Factor 4*a**4/7 + 232*a**3/7 + 1476*a**2/7 + 2448*a/7.
4*a*(a + 3)*(a + 4)*(a + 51)/7
Find d, given that 2*d**4 + 3684*d**3 + 3680*d**2 - 3684*d - 3682 = 0.
-1841, -1, 1
Find p such that 39*p**5 - 4527*p**4 + 30690*p**3 - 66450*p**2 + 43191*p - 2943 = 0.
1/13, 1, 3, 109
Let 3*o**4/4 - 4275*o**3/4 + 25557*o**2/4 - 21285*o/4 = 0. What is o?
0, 1, 5, 1419
Factor -f**2 + 30915*f + 61834.
-(f - 30917)*(f + 2)
Let 2*v**2/15 - 7514*v/5 + 4508/3 = 0. What is v?
1, 11270
Suppose 4*t**4 + 6416*t**3 + 44760*t**2 + 70288*t + 31940 = 0. What is t?
-1597, -5, -1
Suppose -2*l**3/5 - 2348*l**2/5 - 9366*l/5 - 1404 = 0. Calculate l.
-1170, -3, -1
Let 12*i**3 - 68*i**2 - 22960*i = 0. What is i?
-41, 0, 140/3
Let 2*c**4/19 + 386*c**3/19 + 5908*c**2/19 - 704*c = 0. What is c?
-176, -19, 0, 2
Factor -k**3 + 12545*k**2 - 39375600*k + 196564500.
-(k - 6270)**2*(k - 5)
Factor 4*d**3 - 18580*d**2 + 407308*d - 2237532.
4*(d - 4623)*(d - 11)**2
Find y, given that 2*y**4/5 - 248*y**3/5 + 968*y**2/5 - 192*y = 0.
0, 2, 120
Factor 6*k**3/5 - 238614*k**2/5 - 5729328*k/5 - 34381152/5.
6*(k - 39793)*(k + 12)**2/5
Suppose 3*p**5 + 612*p**4 - 23484*p**3 - 379290*p**2 + 826569*p - 424410 = 0. Calculate p.
-235, -14, 1, 43
Factor -2*g**3/9 - 6722*g**2 - 152449906*g/3 + 2288261290/9.
-2*(g - 5)*(g + 15127)**2/9
Factor -g**5 - 85*g**4 + 561*g**3 + 1373*g**2 + 728*g.
-g*(g - 8)*(g + 1)**2*(g + 91)
Factor 11*t**3/3 + 1648*t**2/3 + 3263*t/3 + 542.
(t + 1)**2*(11*t + 1626)/3
Determine b, given that 2*b**4/3 + 88*b**3/3 + 170*b**2 - 352*b/3 - 2072/3 = 0.
-37, -7, -2, 2
Solve 3*r**5 + 159*r**4 - 1392*r**3 + 4296*r**2 - 5808*r + 2928 = 0.
-61, 2
Find n such that 2*n**2/13 - 3168*n/13 + 144478/13 = 0.
47, 1537
Solve -a**3/3 + 20483*a**2/3 - 20480*a = 0 for a.
0, 3, 20480
Suppose -s**3/6 - 796*s**2/3 - 105070*s + 424536 = 0. Calculate s.
-798, 4
Factor 30*s**2 + 31465*s - 5245.
5*(s + 1049)*(6*s - 1)
Let 186*x**3 + 3233*x**2 + 4124*x + 192 = 0. What is x?
-16, -4/3, -3/62
Factor 2*o**2 - 1412*o + 133056.
2*(o - 594)*(o - 112)
Factor c**3/3 - 1322*c**2/3 + 83947*c/3 + 57730.
(c - 1255)*(c - 69)*(c + 2)/3
Suppose 5*m**4 + 185*m**3 + 840*m**2 + 1300*m + 640 = 0. What is m?
-32, -2, -1
Factor s**5 + s**4 - 65*s**3 - 117*s**2 + 1080*s + 2700.
(s - 6)**2*(s + 3)*(s + 5)**2
Suppose -c**5/7 + 4037*c**4/7 - 4116499*c**3/7 + 85070807*c**2/7 - 398688400*c/7 - 487879744/7 = 0. Calculate c.
-1, 11, 2008
What is i in -3*i**4 + 34764*i**3 - 139023*i**2 + 173766*i - 69504 = 0?
1, 2, 11584
Factor 98*d**3/13 + 13286*d**2 - 98720*d/13 + 14104/13.
2*(d + 1763)*(7*d - 2)**2/13
What is p in -6*p**2/7 + 810714*p/7 - 3242760/7 = 0?
4, 135115
Suppose -20*u**5 + 5532*u**4 + 36196*u**3 + 8052*u**2 - 36176*u - 13584 = 0. Calculate u.
-6, -1, -2/5, 1, 283
Suppose u**2 + 10281*u - 20566 = 0. What is u?
-10283, 2
Determine d, given that 2*d**3/13 - 184*d**2/13 + 66*d + 1044/13 = 0.
-1, 6, 87
Find f, given that -f**5/6 + 7*f**4/2 + 3*f**3/2 - 1985*f**2/6 + 884*f + 3042 = 0.
-9, -2, 6, 13
Determine x so that -x**3 + 974*x**2 - 313644*x + 33334056 = 0.
266, 354
Solve -b**3/5 + 38*b**2/5 + 111*b - 720 = 0 for b.
-15, 5, 48
Factor -j**2/5 - 341*j - 1704/5.
-(j + 1)*(j + 1704)/5
Factor -4*j**4 + 3166*j**3 - 6329*j**2/4 + 791*j/4.
-j*(j - 791)*(4*j - 1)**2/4
Factor 12*l**3 + 609*l**2 - 5460*l + 10575.
3*(l - 5)*(l - 3)*(4*l + 235)
Find t such that 4*t**3 - 13288*t**2 + 39836*t - 26552 = 0.
1, 2, 3319
Let -2*g**3/13 + 504678*g**2/13 - 31837737798*g/13 + 31837233122/13 = 0. What is g?
1, 126169
Determine t so that -66*t**4 + 105393*t**3/2 + 891684*t**2 - 784947*t/2 + 41565 = 0.
-17, 2/11, 1/4, 815
Factor -2*s**2 + 330*s + 27000.
-2*(s - 225)*(s + 60)
Suppose -g**4/4 - 27*g**3/2 + 6761*g**2 - 644877*g/2 - 1316851/4 = 0. Calculate g.
-211, -1, 79
Let -6*r**5 + 4504*r**4/3 - 314488*r**3/3 + 3940492*r**2/3 + 1109550*r - 310284 = 0. What is r?
-1, 2/9, 17, 117
Suppose -4*h**2 + 50808*h - 161340804 = 0. Calculate h.
6351
Find t, given that 6*t**4/5 - 123796*t**3/5 + 1196264*t**2/5 - 536188*t - 206230 = 0.
-1/3, 5, 20623
Suppose -y**2 - 33838*y - 286252561 = 0. What is y?
-16919
Factor 686*n**3/9 - 196*n**2/9 - 280*n/9 - 16/3.
2*(7*n - 6)*(7*n + 2)**2/9
Factor -88*s**4 - 32*s**3 + 98*s**2 - 30*s.
-2*s*(2*s - 1)**2*(11*s + 15)
Determine p, given that 10*p**2/9 + 9166*p/9 - 31280/9 = 0.
-920, 17/5
Factor 2*h**3/5 + 236*h**2/5 - 10782*h/5 - 11016/5.
2*(h - 36)*(h + 1)*(h + 153)/5
Let g**3/4 - 110*g**2 - 61161*g/4 = 0. Calculate g.
-111, 0, 551
Determine v so that -v**3 - 755*v**2 + 3033*v - 2277 = 0.
-759, 1, 3
Let 3*d**3/8 - 17637*d**2/4 - 247065*d/8 = 0. What is d?
-7, 0, 11765
Factor -f**3/3 + 338*f**2/3 + 18436*f/3 + 35512/3.
-(f - 386)*(f + 2)*(f + 46)/3
Let -3549*r**4 - 105534*r**3 + 196128*r**2/7 - 12960*r/7 = 0. What is r?
-30, 0, 12/91
Find q such that -q**3/5 - 801*q**2/5 - 48192*q/5 + 51156812/5 = 0.
-502, 203
Factor 308599489*r**2/4 + 17567*r + 1.
(17567*r + 2)**2/4
Factor 3*w**2 + 26667*w + 79974.
3*(w + 3)*(w + 8886)
Factor v**2/5 + 227*v/5 - 12166.
(v - 158)*(v + 385)/5
Let 5*l**4 - 130*l**3 - 15*l**2 + 5580*l + 12960 = 0. Calculate l.
-4, -3, 9, 24
Factor 2*m**2/7 + 536*m/7 - 14650/7.
2*(m - 25)*(m + 293)/7
Factor 3*w**2 - 43368*w - 43371.
3*(w - 14457)*(w + 1)
Let z**4/3 - 114*z**3 + 8667*z**2 + 184680*z + 874800 = 0. What is z?
-9, 180
What is d in -d**5 - 24*d**4 + 119*d**3 + 186*d**2 - 280*d = 0?
-28, -2, 0, 1, 5
Factor 2*i**3 - 190*i**2 - 1872*i.
2*i*(i - 104)*(i + 9)
Factor d**3/3 + 202*d**2 + 605*d/3.
d*(d + 1)*(d + 605)/3
Let 1226*n**2 + 4906*n + 8 = 0. What is n?
-4, -1/613
Factor d**2/6 - 108861*d + 35552151963/2.
(d - 326583)**2/6
Find v, given that -5*v**5 + 195*v**4 - 175*v**3 - 595*v**2 + 960*v - 380 = 0.
-2, 1, 38
Factor -2*a**2/15 - 65326*a/15 - 13064.
-2*(a + 3)*(a + 32660)/15
Determine p, given that -4*p**2/9 + 628144*p/9 - 24660305296/9 = 0.
78518
Let -52*t**3 - 10594*t**2 - 10438*t + 21084 = 0. Calculate t.
-5271/26, -2, 1
Factor 5*m**3 + 1395*m**2 - 176765*m - 542715.
5*(m - 97)*(m + 3)*(m + 373)
Find k such that 3*k**2 - 16110*k - 437157 = 0.
-27, 5397
Factor -4*c**3 - 920*c**2 + 114844*c - 113920.
-4*(c - 89)*(c - 1)*(c + 320)
Suppose -6*r**4/5 - 544*r**3 + 37232*r**2 - 96128*r + 238496/5 = 0. Calculate r.
-514, 2/3, 2, 58
Solve -5*t**2/3 + 1795*t/3 - 4680 = 0.
8, 351
Find p, given that 3*p**5 + 109*p**4 + 1032*p**3 + 1916*p**2 + 528*p = 0.
-22, -12, -2, -1/3, 0
Factor -j**4/9 - 67*j**3/9 - 1154*j**2/9 - 1088*j/9.
-j*(j + 1)*(j + 32)*(j + 34)/9
Determine c, given that c**5/2 - 26*c**4 + 517*c**3/2 - 183*c**2 - 468*c = 0.
-1, 0, 2, 12, 39
Let -5*j**2 - 2345*j = 0. Calculate j.
-469, 0
Factor -5*c**2 - 515*c - 10730.
-5*(c + 29)*(c + 74)
Suppose -2*z**5 - 1418*z**4 + 1426*z**3 + 4258*z**2 - 1424*z - 2840 = 0. Calculate z.
-710, -1, 1, 2
Find k, given that -3*k**5 - 123*k**4 + 843*k**3 - 213*k**2 - 3432*k - 2256 = 0.
-47, -1, 4
Let -2*s**2/5 + 7528*s/5 - 45096/5 = 0. Calculate s.
6, 3758
Determine h, given that -2*h**4/5 - 3598*h**3/5 = 0.
-1799, 0
Determine k so that 14*k**3 - 318*k**2 + 216*k + 88 = 0.
-2/7, 1, 22
Factor -5*a**3 + 3000*a**2 - 38155*a.
-5*a*(a - 587)*(a - 13)
Let u**2 + 20*u - 300 = 0. Calculate u.
-30, 10
Solve -4*t**2 + 303024*t - 5738971536 = 0.
37878
Factor v**2 - 511*v + 2530.
(v - 506)*(v - 5)
Factor 4*v**2/7 - 2899112*v/7.
4*v*(v - 724778)/7
Let 3*t**2/2 - 6567*t/2 + 6561 = 0. What is t?
2, 2187
Factor -2*m**2/11 - 36988*m/11 - 171014018/11.
-2*(m + 9247)**2/11
Factor -15893522*u**2/17 - 11276*u/17 - 2/17.
-2*(2819*u + 1)**2/17
Let -10*t**4 + 19566*t**3 - 9576572*t**2 + 5731080*t + 3825936 = 0. What is t?
-2/5, 1, 978
Factor -p**2/7 - 217577*p/7.
-p*(p + 217577)/7
Solve 2*g**3/7 + 1062*g**2/7 + 24624*g/7 + 146016/7 = 0.
-507, -12
Factor -k**3/5 - 569*k**2/5 - 11414*k.
-k*(k + 130)*(k + 439)/5
Factor 117*w**2/4 + 1366215*w/4 + 35031/2.
3*(w + 11677)*(39*w + 2)/4
Suppose -20*a**4 + 4525*a**3 - 234715*a**2 + 55010*a + 175200 = 0. What is a?
-3/4, 1, 80, 146
Suppose 2*r**5/5 + 808*r**4/5 + 10130*r**3 + 94868*r**2/5 - 202632*r/5 - 78480 = 0. Calculate r.
-327, -75, -2, 2
Find x such that -2*x**2/13 - 83324*x/13 - 867861122/13 = 0.
-20831
Solve -3*u**2 - 3309*u - 351288 = 0 for u