
Suppose -3844*v**3 - 21328*v**2 - 39380*v - 24200 = 0. What is v?
-2, -55/31
Factor s**3/7 + 271*s**2/7 + 3144*s/7 + 1332.
(s + 6)**2*(s + 259)/7
Factor -2*p**2/15 - 512*p/15 + 2040.
-2*(p - 50)*(p + 306)/15
Factor -108*d**3 + 1072*d**2 + 18548*d + 1368.
-4*(d - 19)*(d + 9)*(27*d + 2)
Factor -2*c**5/5 - 1504*c**4/5 - 281244*c**3/5 + 567008*c**2/5 - 284258*c/5.
-2*c*(c - 1)**2*(c + 377)**2/5
Let -2*z**5 + 203*z**4 + 517*z**3 + 312*z**2 = 0. Calculate z.
-3/2, -1, 0, 104
Find n, given that -2*n**3 + 1642*n**2 = 0.
0, 821
Find k such that -22*k**5 + 9764*k**4 + 642680*k**3 - 382867216*k**2 - 33889513216*k - 6149069056 = 0.
-116, -2/11, 338
Find a, given that a**3/3 - 67*a**2/3 + 851*a/3 + 9583/3 = 0.
-7, 37
Factor 5*u**5 + 250*u**4 + 950*u**3 + 1400*u**2 + 925*u + 230.
5*(u + 1)**4*(u + 46)
Factor 2*c**3/9 - 578*c**2/9 + 560*c/3 + 1144.
2*(c - 286)*(c - 6)*(c + 3)/9
What is q in -3*q**5 + 3189*q**4 - 28518*q**3 + 63276*q**2 - 37944*q = 0?
0, 1, 2, 6, 1054
Factor 5*g**2 + 34630*g + 1308720.
5*(g + 38)*(g + 6888)
Find n, given that 4*n**2 - 13960*n + 12180100 = 0.
1745
Factor -2*v**2 - 194*v + 6396.
-2*(v - 26)*(v + 123)
Find f such that -14*f**5 + 115*f**4 - 94*f**3 - 181*f**2 + 42*f = 0.
-1, 0, 3/14, 2, 7
Factor -v**2 - 53*v - 660.
-(v + 20)*(v + 33)
What is z in -7*z**2/3 - 436*z/3 + 12352 = 0?
-772/7, 48
What is g in -g**3 - 1176*g**2 + g + 1176 = 0?
-1176, -1, 1
Find a such that 2*a**3/3 - 7426*a**2 + 20962490*a - 4711161994/3 = 0.
77, 5531
Determine l, given that -144*l**5 + 1636*l**4 - 4032*l**3 + 1292*l**2 - 96*l = 0.
0, 1/9, 1/4, 3, 8
Find h such that 105*h**4 - 5825*h**3 + 2685*h**2 + 3585*h - 550 = 0.
-2/3, 1/7, 1, 55
Suppose 5*o**3 - 650*o**2 + 10080*o = 0. Calculate o.
0, 18, 112
Factor 2*d**2/5 + 4574*d/5.
2*d*(d + 2287)/5
Solve -u**4 - 518*u**3 - 57408*u**2 + 2589984*u = 0.
-276, 0, 34
Factor 4*p**2 - 6194*p/9 + 344/9.
2*(p - 172)*(18*p - 1)/9
Factor 2*k**2 + 145220*k + 2636106050.
2*(k + 36305)**2
Factor -185*y**2 + 900*y.
-5*y*(37*y - 180)
Factor -5*y**3 + 28252*y**2 - 39545*y + 11298.
-(y - 5649)*(y - 1)*(5*y - 2)
Factor -2*y**3/3 + 331526*y**2/3.
-2*y**2*(y - 165763)/3
Suppose -g**2/5 + 492*g/5 - 19712/5 = 0. What is g?
44, 448
Let -o**3/4 + 4391*o**2/4 + 3295*o + 2197 = 0. Calculate o.
-2, -1, 4394
Factor -38*b**3/5 + 2574*b**2/5 - 4356*b/5.
-2*b*(b - 66)*(19*b - 33)/5
Factor -3*g**2 + 78219*g - 78216.
-3*(g - 26072)*(g - 1)
Factor 3*i**2 - 3792*i + 3789.
3*(i - 1263)*(i - 1)
What is p in 5*p**2 - 101630*p - 101635 = 0?
-1, 20327
Factor -2*b**2 + 16320*b - 33292800.
-2*(b - 4080)**2
Factor -j**2/2 + 25638*j + 51278.
-(j - 51278)*(j + 2)/2
Factor -33570436*l**2 + 185408*l - 256.
-4*(2897*l - 8)**2
Let m**2 + 1142*m - 72120 = 0. What is m?
-1202, 60
Determine h, given that 2*h**4 + 120220*h**3/3 - 841606*h**2/9 + 641240*h/9 - 160312/9 = 0.
-20039, 2/3, 1
Factor -19436*n**3/5 + 77728*n**2/5 + 64*n/5.
-4*n*(n - 4)*(4859*n + 4)/5
Determine d, given that -d**4/2 - 16*d**3 + 441*d**2/2 + 306*d - 5670 = 0.
-42, -5, 6, 9
Suppose 2*v**2 - 163936*v - 819730 = 0. What is v?
-5, 81973
Solve 5*r**5 + 246160*r**4 + 2215170*r**3 + 6645240*r**2 + 6645105*r = 0.
-49223, -3, 0
Solve -3*t**2 + 21945*t + 1015818 = 0 for t.
-46, 7361
Suppose 2*g**3/13 + 724*g**2/13 - 6698*g/13 - 7420/13 = 0. Calculate g.
-371, -1, 10
Determine z, given that z**3/4 + 25*z**2/4 + 33*z/2 = 0.
-22, -3, 0
Factor 2*q**3 + 9814*q**2 - 425616*q + 415800.
2*(q - 42)*(q - 1)*(q + 4950)
Factor 2*a**4/5 + 1974*a**3 + 9860*a**2.
2*a**2*(a + 5)*(a + 4930)/5
Factor 2*m**2 + 599542*m + 599540.
2*(m + 1)*(m + 299770)
Determine u so that -2*u**2/7 + 50006*u/7 + 7144 = 0.
-1, 25004
What is q in -4*q**3 + 280*q**2 + 11408*q - 830304 = 0?
-54, 62
Factor 2*y**2 - 678*y.
2*y*(y - 339)
Let -2*q**4/3 - 652*q**3/3 - 6386*q**2/3 - 6976*q - 7584 = 0. Calculate q.
-316, -4, -3
Factor 4*m**2 + 20668*m - 103440.
4*(m - 5)*(m + 5172)
Factor -6*j**2/11 + 906*j/11 + 31320/11.
-6*(j - 180)*(j + 29)/11
Suppose 5*n**4 + 23340*n**3 + 23335*n**2 = 0. What is n?
-4667, -1, 0
Determine l so that 3*l**5/2 - 3363*l**4 - 13473*l**3/2 + 10092*l**2 + 13470*l - 13464 = 0.
-2, 1, 2244
Factor 3042*m**2/11 + 24324*m/11 - 96/11.
6*(m + 8)*(507*m - 2)/11
Find d, given that 560*d**5 + 5850*d**4 - 12635*d**3 - 27060*d**2 - 8595*d + 540 = 0.
-12, -1, -1/2, 3/56, 3
Determine q, given that -q**4/3 + 73*q**3/3 - 167*q**2 - 1225*q/3 - 650/3 = 0.
-1, 10, 65
Factor -2*a**3/9 + 94*a**2/9 - 20*a.
-2*a*(a - 45)*(a - 2)/9
Factor -10*o**3 - 518*o**2 - 6848*o - 5152.
-2*(o + 23)*(o + 28)*(5*o + 4)
Suppose -4*o**2 - 1360*o + 19824 = 0. Calculate o.
-354, 14
Factor 4*v**2 + 5620*v - 79464.
4*(v - 14)*(v + 1419)
Factor 2*z**2/9 - 9484*z/9 + 6320/3.
2*(z - 4740)*(z - 2)/9
Factor -20*z**3 - 1105*z**2 + 845*z + 280.
-5*(z - 1)*(z + 56)*(4*z + 1)
Solve -u**2 - 10584*u - 31743 = 0.
-10581, -3
Determine m so that m**3/6 + 1951*m**2/3 + 19489*m/6 + 2598 = 0.
-3897, -4, -1
Find m, given that -676*m**4 - 56992*m**3 - 128352*m**2 - 35456*m - 2624 = 0.
-82, -2, -2/13
Factor -2*w**3/3 - 3284*w**2.
-2*w**2*(w + 4926)/3
Solve -5*v**2 + 32520*v - 52877520 = 0 for v.
3252
Find l such that 3*l**3/4 + 4779*l**2/4 - 7179*l/2 + 2394 = 0.
-1596, 1, 2
Factor 4*l**3 - 428*l**2 + 8528*l + 8960.
4*(l - 80)*(l - 28)*(l + 1)
Factor -y**5/6 + 79*y**4/6 - 379*y**3/6 + 673*y**2/6 - 260*y/3 + 74/3.
-(y - 74)*(y - 2)*(y - 1)**3/6
Determine s, given that -5*s**4 - 10340*s**3 - 5407460*s**2 - 63777120*s - 190221120 = 0.
-1028, -6
Suppose 5*z**2 - 1629385*z - 1629390 = 0. What is z?
-1, 325878
Factor 4*m**2 - 4376*m + 64740.
4*(m - 1079)*(m - 15)
Suppose -3*j**2/4 + 2355*j/2 - 493923/4 = 0. What is j?
113, 1457
Determine p so that -2*p**5/3 + 50*p**4/3 - 116*p**3/3 - 1528*p**2/3 - 2960*p/3 - 1600/3 = 0.
-2, -1, 10, 20
What is k in -k**5/5 + 33*k**4/5 + 147*k**3/5 + 43*k**2/5 - 222*k/5 = 0?
-3, -2, 0, 1, 37
Find z such that -2*z**3/11 + 884*z**2/11 - 7552*z - 3341760/11 = 0.
-30, 236
Solve 4*y**4 + 1780*y**3 + 154828*y**2 - 642612*y + 486000 = 0.
-324, -125, 1, 3
Factor -27*k**3/7 - 23076*k**2/7 + 30804*k/7 - 10272/7.
-3*(k + 856)*(3*k - 2)**2/7
Let 2*a**3 - 76*a**2 + 282*a + 1584 = 0. Calculate a.
-3, 8, 33
Factor 4*v**4 + 1188*v**3 - 6092*v**2 - 15732*v - 8456.
4*(v - 7)*(v + 1)**2*(v + 302)
Factor -12*c**3 - 5508*c**2 - 658683*c - 23593272.
-3*(c + 296)*(2*c + 163)**2
Factor -r**3/12 - 363*r**2 - 2177*r/3.
-r*(r + 2)*(r + 4354)/12
Determine b, given that -b**4/9 + 527*b**3/9 - 2609*b**2/9 - 527*b/9 + 290 = 0.
-1, 1, 5, 522
Find j such that -2*j**3/3 - 153866*j**2/3 - 51288*j = 0.
-76932, -1, 0
Factor -5*f**3/2 - 2135*f**2/2 - 224675*f/2 + 693375/2.
-5*(f - 3)*(f + 215)**2/2
Find q such that -2*q**4/7 - 1066*q**3/7 - 163584*q**2/7 - 5647136*q/7 - 35245312/7 = 0.
-244, -37, -8
Factor s**2/3 - 17*s + 50/3.
(s - 50)*(s - 1)/3
Suppose -2*l**3/3 + 6670*l**2 = 0. What is l?
0, 10005
Determine a so that a**5 + 9*a**4 + 7*a**3 - 45*a**2 + 28*a = 0.
-7, -4, 0, 1
Find o, given that -3*o**3 + 11586*o**2 - 12712788*o + 2838918456 = 0.
298, 1782
Solve 5*f**4 - 190*f**3 + 1225*f**2 - 680*f - 2100 = 0 for f.
-1, 2, 7, 30
Suppose 3*g**3/2 - 531*g**2/2 - 4320*g = 0. Calculate g.
-15, 0, 192
Factor 2*g**4 + 200*g**3 + 3794*g**2 - 3996*g.
2*g*(g - 1)*(g + 27)*(g + 74)
Determine t, given that -52*t**3 + 1944*t**2 + 12316*t + 10320 = 0.
-60/13, -1, 43
Determine p so that 5*p**5 + 465*p**4 + 1270*p**3 - 7140*p**2 + 5400*p = 0.
-90, -6, 0, 1, 2
What is v in 2*v**4/3 - 842*v**3/3 + 29950*v**2 - 253726*v/3 - 873620/3 = 0?
-2, 5, 209
Factor 74*a**2 - 36404*a - 1968.
2*(a - 492)*(37*a + 2)
Let 8*g**2 - 2838*g - 3560 = 0. What is g?
-5/4, 356
Let 4*h**2 - 335360*h + 7029145600 = 0. What is h?
41920
Suppose 3*f**3/5 - 4362*f**2/5 + 30423*f/5 - 52092/5 = 0. What is f?
3, 4, 1447
Factor 16*j**3 + 604*j**2 + 5608*j - 1440.
4*(j + 18)*(j + 20)*(4*j - 1)
Suppose 33*x**5 + 270*x**4 + 642*x**3 + 636*x**2 + 261*x + 30 = 0. Calculate x.
-5, -1, -2/11
Determine c so that 2*c**4 - 4400*c**3 + 2424394*c**2 - 4831204*c = 0.
0, 2, 1099
Solve 2*p**2 - 49620*p + 49618 = 0.
1, 24809
Find w, given that -3*w**2 - 2382*w - 9480 = 0.
-790, -4
Factor -4*w**2 + 16168*w + 16172.
-4*(w - 4043)*(w + 1)
Let w**3/4 + 15883*w**2/4 - 222509*w/4 + 778953/4 = 0. What is w?
-15897, 7
Suppose -5*j**4 + 100*j**3 + 1355*j**2 -