35
Let -5*d**2 + 19955*d - 99650 = 0. What is d?
5, 3986
Factor -4*t**2 + 1884*t - 56192.
-4*(t - 439)*(t - 32)
Let -7*d**3/5 + 724*d**2/5 + 380*d + 848/5 = 0. What is d?
-2, -4/7, 106
Factor -3*p**2 - 13143*p + 39456.
-3*(p - 3)*(p + 4384)
Let 4*r**2 + 1056*r - 105028 = 0. Calculate r.
-341, 77
Factor 4*m**2/7 + 437552*m/7 + 11965734544/7.
4*(m + 54694)**2/7
Let -4*r**4/3 - 34016*r**3/3 - 72453952*r**2/3 - 192666624*r - 384970752 = 0. What is r?
-4248, -4
Find q, given that -56*q**4 + 836*q**3 + 44972*q**2 - 89528*q - 6624 = 0.
-23, -1/14, 2, 36
Factor -2*n**2/5 - 51488*n/5 - 154446/5.
-2*(n + 3)*(n + 25741)/5
Determine m so that 28*m**5/11 + 10*m**4 - 36*m**3/11 - 10*m**2 + 8*m/11 = 0.
-4, -1, 0, 1/14, 1
Factor -2*j**3/5 + 1714*j**2/5 - 82240*j + 3648000.
-2*(j - 400)**2*(j - 57)/5
Factor 49647*u**4 + 148950*u**3 + 148968*u**2 + 49674*u + 9.
3*(u + 1)**3*(16549*u + 3)
Find r such that -13*r**3 - 236*r**2 - 433*r - 210 = 0.
-210/13, -1
Find n such that 6*n**4/11 - 6690*n**3/11 - 6*n**2/11 + 6690*n/11 = 0.
-1, 0, 1, 1115
Factor s**2/3 - 360*s - 2164/3.
(s - 1082)*(s + 2)/3
Let i**4/4 + 501*i**3/4 + 125*i**2 = 0. What is i?
-500, -1, 0
Factor y**3 + 17908*y**2 + 80156205*y - 160384050.
(y - 2)*(y + 8955)**2
Factor 4*o**3 + 1092*o**2 + 5304*o - 15008.
4*(o - 2)*(o + 7)*(o + 268)
Suppose m**5/4 + 587*m**4/4 + 8579*m**3/4 - 587*m**2/4 - 2145*m = 0. Calculate m.
-572, -15, -1, 0, 1
Find m such that 75*m**4/2 - 685*m**3 + 1485*m**2/2 + 1125*m - 340 = 0.
-1, 4/15, 2, 17
Factor -829921*b**4/3 + 270567*b**3 + 6040*b**2 + 100*b/3.
-b*(b - 1)*(911*b + 10)**2/3
Let 2*z**4/7 - 2734*z**3/7 + 158640*z**2/7 - 2352600*z/7 = 0. Calculate z.
0, 30, 1307
Solve -65*h**5/4 + 353915*h**4/4 + 54645*h**3/4 - 1061615*h**2/4 - 217795*h - 27225 = 0.
-1, -2/13, 2, 5445
Suppose -2*j**3 - 1592*j**2 - 98538*j - 1589940 = 0. Calculate j.
-730, -33
Find l such that -4*l**5 + 752*l**4 - 52008*l**3 + 1587520*l**2 - 20098100*l + 87846000 = 0.
11, 12, 55
Solve -2*o**3/5 - 1012*o**2 - 640090*o = 0.
-1265, 0
Factor 2*r**2/9 - 6558*r.
2*r*(r - 29511)/9
Determine l, given that 2*l**5 - 234*l**4 + 10048*l**3 - 187952*l**2 + 1359456*l - 2043808 = 0.
2, 13, 34
Find t, given that -4*t**2/3 - 44248*t/3 - 122367844/3 = 0.
-5531
Factor -18*u**2/11 + 1940*u/11 - 3392/11.
-2*(u - 106)*(9*u - 16)/11
Factor f**2/4 - 34101*f/2.
f*(f - 68202)/4
Let 2*p**2/5 + 48458*p/5 + 96908/5 = 0. What is p?
-24227, -2
Factor 4*h**4 - 484*h**3 + 5496*h**2 + 12960*h.
4*h*(h - 108)*(h - 15)*(h + 2)
Suppose 3*b**3 + 8016*b**2 - 8019*b = 0. What is b?
-2673, 0, 1
Suppose -12*t**5 + 760*t**4 - 14736*t**3 + 61528*t**2 + 491100*t - 170000 = 0. Calculate t.
-4, 1/3, 17, 25
Factor -20*n**3 - 1984*n**2 - 6060*n + 8064.
-4*(n - 1)*(n + 96)*(5*n + 21)
Factor -y**2/2 - 139845*y - 19556624025/2.
-(y + 139845)**2/2
Find q, given that 5*q**4 - 720*q**3 - 561370*q**2 + 42284880*q + 17245477205 = 0.
-209, 281
Factor 3*c**2 - 4296*c - 4299.
3*(c - 1433)*(c + 1)
Determine u so that 3*u**2 - 6456*u + 3473328 = 0.
1076
Find l such that 86*l**3/5 - 804*l**2/5 + 270*l - 632/5 = 0.
1, 316/43
Factor 5*j**2 - 28810*j - 28815.
5*(j - 5763)*(j + 1)
What is o in -4*o**3/5 - 676*o**2/5 - 21948*o/5 + 588132/5 = 0?
-93, 17
Determine w, given that -w**5/3 + 1551*w**4 - 9298*w**3/3 - 6202*w**2 + 9299*w/3 + 4651 = 0.
-1, 1, 3, 4651
Solve -i**3 - 239*i**2 - 10976*i - 21004 = 0.
-178, -59, -2
Factor -r**5 - 194*r**4 - 9013*r**3 + 38412*r**2 - 39204*r.
-r*(r - 2)**2*(r + 99)**2
Find h, given that 2*h**4/9 + 5420*h**3/9 - 8*h**2/9 - 21680*h/9 = 0.
-2710, -2, 0, 2
Solve 4*s**4 - 1200*s**3 + 130296*s**2 - 5956592*s + 93055908 = 0.
33, 89
Factor -3*g**4 - 2406*g**3 + 136485*g**2 - 1872072*g.
-3*g*(g - 27)**2*(g + 856)
Find r such that 4*r**2 + 179904*r - 179908 = 0.
-44977, 1
Factor -6*q**3/7 - 57*q**2/7 - 24*q/7 + 27/7.
-3*(q + 1)*(q + 9)*(2*q - 1)/7
Factor -4*p**2 + 1100*p - 42136.
-4*(p - 229)*(p - 46)
Suppose 2*s**2/5 - 50*s - 2412/5 = 0. Calculate s.
-9, 134
Let 2*d**3/9 + 742*d**2/9 - 3748*d/9 + 1504/3 = 0. What is d?
-376, 2, 3
Let -h**5/4 + 2189*h**4/2 - 1197930*h**3 - 2189*h**2/2 + 4791721*h/4 = 0. What is h?
-1, 0, 1, 2189
Find o such that 3*o**4/2 + 615*o**3/8 - 7815*o**2/8 + 1425*o + 837/2 = 0.
-62, -1/4, 2, 9
Factor -4*o**4/5 + 233304*o**3/5 + 1680480*o**2 + 100842624*o/5 + 403398144/5.
-4*(o - 58362)*(o + 12)**3/5
Suppose w**4/7 - 199*w**3/7 - 2101*w**2/7 + 2299*w/7 = 0. Calculate w.
-11, 0, 1, 209
Suppose 3*h**3 + 101*h**2/4 + 10*h = 0. Calculate h.
-8, -5/12, 0
Suppose 4*b**4/3 + 20*b**3/3 - 808*b**2/3 + 2224*b/3 - 480 = 0. Calculate b.
-18, 1, 2, 10
Let 3*q**4/2 + 15*q**3/4 - 33*q**2 - 429*q/4 - 45 = 0. What is q?
-4, -3, -1/2, 5
Find q such that 2*q**2/7 + 175326*q/7 = 0.
-87663, 0
Find a such that -2*a**3 + 934*a**2/3 + 418*a + 314/3 = 0.
-1, -1/3, 157
Factor j**2 - 4039*j.
j*(j - 4039)
Factor -3*u**2 - 87699*u - 263070.
-3*(u + 3)*(u + 29230)
Factor 2*i**2/11 + 324414*i/11 + 29492.
2*(i + 1)*(i + 162206)/11
Factor -2*c**2/13 + 35316*c/13 - 155902482/13.
-2*(c - 8829)**2/13
Factor 2*s**5/19 + 4*s**4 + 624*s**3/19.
2*s**3*(s + 12)*(s + 26)/19
What is x in x**4/2 + 467*x**3/3 + 96863*x**2/6 + 559404*x + 184680 = 0?
-108, -95, -1/3
Factor -100*b**3 + 51960*b**2 + 20796*b + 2080.
-4*(b - 520)*(5*b + 1)**2
Find m, given that -m**4/4 - 11*m**3 - 79*m**2 + 204*m = 0.
-34, -12, 0, 2
Solve -2*h**3 - 6650*h**2 - 79584*h - 238536 = 0.
-3313, -6
Factor 3*s**2/2 - 3989454*s + 2652623869686.
3*(s - 1329818)**2/2
Factor -3*c**2 + 45201*c + 45204.
-3*(c - 15068)*(c + 1)
Factor x**2/5 + 8786*x/5 + 928653/5.
(x + 107)*(x + 8679)/5
Factor 2*z**2/5 - 2428*z/5 - 4896.
2*(z - 1224)*(z + 10)/5
Suppose -2*a**3/11 - 1422*a**2/11 + 5712*a/11 - 520 = 0. Calculate a.
-715, 2
Factor -b**4 + 15*b**3 + 562*b**2 - 11484*b + 42120.
-(b - 18)**2*(b - 5)*(b + 26)
Determine i so that -24*i**2 + 148*i - 140 = 0.
7/6, 5
Factor 175*g**3 + 1060*g**2 - 1165*g - 70.
5*(g - 1)*(g + 7)*(35*g + 2)
Factor -2*f**3 + 9198*f**2 - 10716528*f + 323432672.
-2*(f - 2284)**2*(f - 31)
Factor -2*s**2/9 - 104*s/9 + 9310/3.
-2*(s - 95)*(s + 147)/9
Solve -2*w**4/3 - 21560*w**3/3 + 21566*w**2 - 8*w/3 - 86264/3 = 0 for w.
-10783, -1, 2
Find m, given that m**2 + 3455*m + 68700 = 0.
-3435, -20
Find o, given that -o**4/6 - 1209*o**3/2 - 61433*o**2/6 - 75783*o/2 + 48735 = 0.
-3610, -9, 1
Factor -a**3/3 + 277*a**2/3 + 1060*a - 1152.
-(a - 288)*(a - 1)*(a + 12)/3
Let 2*i**3 + 244*i**2 - 2430*i - 9432 = 0. What is i?
-131, -3, 12
What is p in 2*p**4/3 - 34*p**3/3 + 134*p**2/3 - 58*p + 24 = 0?
1, 3, 12
Factor -8003*h**2/6 - 8017*h/3 - 28/3.
-(h + 2)*(8003*h + 28)/6
Determine j so that 9*j**2/4 - 3251*j/4 - 12915/2 = 0.
-70/9, 369
Let z**3 - 501*z**2 - 29416*z + 29916 = 0. What is z?
-54, 1, 554
Let d**2/7 - 5890*d/7 + 5889/7 = 0. Calculate d.
1, 5889
Determine l so that -l**3 + 1338*l**2 + 4*l - 5352 = 0.
-2, 2, 1338
Factor -c**3/10 + 5561*c**2/5 - 3095806*c + 92674092/5.
-(c - 5558)**2*(c - 6)/10
Suppose -314*s**3 + 1606*s**2/3 + 568*s/3 - 8 = 0. What is s?
-1/3, 6/157, 2
Let 18*k**4 + 4*k**3 - 882*k**2 - 196*k = 0. Calculate k.
-7, -2/9, 0, 7
Suppose 2*o**4/3 + 136*o**3 + 21212*o**2/3 + 13736*o + 20402/3 = 0. Calculate o.
-101, -1
Factor -2*r**3/9 - 78566*r**2/9 - 771537760*r/9 + 771616328/9.
-2*(r - 1)*(r + 19642)**2/9
Solve 295*p**4 + 2490*p**3 - 49405*p**2 + 25560*p + 21060 = 0.
-18, -26/59, 1, 9
Determine l, given that -4*l**3 + 271880*l**2 + 1631388*l + 2447136 = 0.
-3, 67976
What is c in c**5 - 6199*c**4 - 12406*c**3 + 24796*c**2 + 49608*c = 0?
-2, 0, 2, 6201
Suppose 3*i**2 - 1968*i + 23184 = 0. What is i?
12, 644
Determine s so that s**4/4 + 563*s**3/4 + 5359*s**2/4 - 94563*s/4 = 0.
-553, -19, 0, 9
Factor 2*n**3/9 - 52*n**2/3 + 550*n/9 + 1036/3.
2*(n - 74)*(n - 7)*(n + 3)/9
Factor -3*p**3 - 846*p**2 - 4083*p + 19944.
-3*(p - 3)*(p + 8)*(p + 277)
Let 3*p**4 - 4722*p**3 + 129945*p**2 - 125226*p = 0. Calculate p.
0, 1, 27, 1546
Suppose -28*v**5 + 888*v**4 + 788*v**3 - 16032*v**2 - 31504*v - 7680 = 0. Calculate v.
-3, -2, -2/7, 5, 32
Factor -x**4/2 + 31*x**3 - 55*x**2/2 - 183*x.
-x*(x - 61)*(x - 3)*(x + 2)/2
Factor -j**3/2 + 9*j**2/4 + 393*j/4 - 100.
-(j - 16)*(j - 1)*(2*j + 25)/4
Factor 2*l**3/19 + 2986*l**2/19.
2*l**2*(l + 1493)/19
Determine o, given that o**3/5 + 32*o**2/5 - 228*o/5 = 0.
-