23824*h**2/7 + 136931648*h - 3832105216/7.
4*(h - 15476)**2*(h - 4)/7
Factor 2*g**3/15 - 188*g**2/15 - 370*g + 42000.
2*(g - 75)**2*(g + 56)/15
Factor -m**3 - 50365*m**2 - 634183488*m - 634133124.
-(m + 1)*(m + 25182)**2
Factor -988*x**2 - 1971*x + 10.
-(x + 2)*(988*x - 5)
Factor 3*y**3/4 + 1791969*y**2/8 + 895983*y/8.
3*y*(y + 298661)*(2*y + 1)/8
Suppose -3*l**4 - 18813*l**3 - 131544*l**2 = 0. Calculate l.
-6264, -7, 0
Let -3607333856*o**2 - 192624*o - 18/7 = 0. Calculate o.
-3/112364
Suppose -3*i**5/7 + 2001*i**4/7 - 342561*i**3/7 + 2969931*i**2/7 - 1117848*i + 742224 = 0. Calculate i.
1, 4, 329
Factor -3*c**2/5 - 1152*c/5 - 22116.
-3*(c + 190)*(c + 194)/5
Suppose 2*a**5/7 + 110*a**4/7 + 684*a**3/7 - 3212*a**2/7 - 98*a + 3102/7 = 0. What is a?
-47, -11, -1, 1, 3
Suppose -r**3/6 + 502*r**2/3 + 29987*r/6 - 5165 = 0. What is r?
-30, 1, 1033
Determine b, given that 3*b**2/5 - 516588*b/5 - 516591/5 = 0.
-1, 172197
Solve -2*w**3/3 + 2134*w**2/5 - 256*w/3 = 0 for w.
0, 1/5, 640
Factor 14*b**2/5 - 352*b/5 + 360.
2*(b - 18)*(7*b - 50)/5
Factor 2*a**2/9 + 4034*a/3 + 12084.
2*(a + 9)*(a + 6042)/9
Factor 3*a**2/4 - 153*a/2 - 3468.
3*(a - 136)*(a + 34)/4
Solve -2*y**5/3 + 8284*y**4/9 - 22018*y**3/9 - 41404*y**2/9 + 88168*y/9 + 11024/3 = 0.
-2, -1/3, 2, 3, 1378
Find l such that -8*l**2/5 - 1580*l + 11940 = 0.
-995, 15/2
Factor -4*z**3 + 1048*z**2 - 28740*z + 208800.
-4*(z - 232)*(z - 15)**2
Factor -v**3/4 + 167*v**2/4 - 7371*v/4 + 32805/4.
-(v - 81)**2*(v - 5)/4
What is p in -p**2 + 26005*p + 260150 = 0?
-10, 26015
Suppose -y**2/2 + 723*y/2 - 36661 = 0. What is y?
122, 601
Find i, given that 4*i**5/3 + 148*i**4/3 + 1844*i**3/3 + 8252*i**2/3 + 2184*i = 0.
-14, -13, -9, -1, 0
Determine l, given that -5*l**3 - 40*l**2 + 1065*l - 2700 = 0.
-20, 3, 9
Suppose 2*n**3 - 170*n**2 + 1806*n - 3942 = 0. Calculate n.
3, 9, 73
Factor -3275*i**2 + 205*i.
-5*i*(655*i - 41)
Solve 2*c**4 + 10334*c**3 - 6*c**2 - 30998*c + 20668 = 0 for c.
-5167, -2, 1
Factor -26569*d**2 + 63570*d - 38025.
-(163*d - 195)**2
Find g, given that -4*g**5 + 1124*g**4 + 4560*g**3 = 0.
-4, 0, 285
Suppose -2*f**2 + 510784*f + 1021576 = 0. What is f?
-2, 255394
Find k, given that -2*k**2/3 - 302*k/3 - 2912 = 0.
-112, -39
Suppose -2*q**2 + 3088856*q - 1192628923592 = 0. Calculate q.
772214
Suppose -398*m**3/3 - 933*m**2 - 1357*m - 130/3 = 0. What is m?
-5, -2, -13/398
Suppose -5*p**3 - 175075*p**2 + 875470*p - 1050600 = 0. What is p?
-35020, 2, 3
Factor 196*i**2 - 1679888*i + 3599520016.
4*(7*i - 29998)**2
Factor -2*b**4 - 128*b**3 - 1202*b**2 - 1908*b.
-2*b*(b + 2)*(b + 9)*(b + 53)
Find d such that 2*d**5/7 - 1486*d**4/7 + 367532*d**3/7 - 30133984*d**2/7 - 31244032*d/7 + 61011968/7 = 0.
-2, 1, 248
Solve i**3 - 135*i**2 + 6000*i - 87500 = 0 for i.
35, 50
Suppose -4*d**4/9 + 4*d**3 + 28*d**2/9 - 76*d/3 - 24 = 0. Calculate d.
-2, -1, 3, 9
Factor 3*s**3 + 156*s**2 - 12*s - 624.
3*(s - 2)*(s + 2)*(s + 52)
Factor -k**3/4 + 77*k**2/2 + 6935*k/4 + 17328.
-(k - 192)*(k + 19)**2/4
Find c, given that 10*c**5 - 498*c**4 - 1130*c**3 - 726*c**2 - 104*c = 0.
-1, -1/5, 0, 52
Factor a**2/7 - 360*a/7 - 1089/7.
(a - 363)*(a + 3)/7
Factor b**3/3 + 350*b**2/3 - 10991*b/3.
b*(b - 29)*(b + 379)/3
Determine h so that 235*h**5/3 + 1979*h**4 + 3886*h**3 - 13474*h**2/3 - 1383*h - 69 = 0.
-23, -3, -1/5, -3/47, 1
Let -2*l**3/9 + 1220*l**2/3 - 556928*l/3 - 3356224/9 = 0. Calculate l.
-2, 916
Determine n, given that 2*n**5/7 - 108*n**4/7 - 6964*n**3/7 - 26616*n**2/7 - 32782*n/7 - 1860 = 0.
-35, -2, -1, 93
Solve 16*d**3/9 - 356*d**2/3 - 280*d/9 + 268/3 = 0 for d.
-1, 3/4, 67
Let -540*v**5 + 12224*v**4 - 18164*v**3 - 8416*v**2 + 336*v = 0. What is v?
-2/5, 0, 1/27, 2, 21
Determine g, given that 35*g**5 - 920*g**4 + 5780*g**3 - 4010*g**2 - 5815*g + 4930 = 0.
-1, 1, 58/7, 17
What is d in -d**3 - 12932*d**2 = 0?
-12932, 0
Find a, given that 32*a**4/7 + 110*a**3 + 3792*a**2/7 - 10582*a/7 - 676/7 = 0.
-13, -1/16, 2
Factor -20*y**3/7 + 2592*y**2/7 + 22700*y.
-4*y*(y - 175)*(5*y + 227)/7
Solve 310*f**4 + 6816*f**3 + 23472*f**2 + 22016*f - 288 = 0.
-18, -2, 2/155
Find u such that 4*u**5 - 2472*u**4 + 504128*u**3 - 32840704*u**2 - 224280576*u + 575930368 = 0.
-8, 2, 208
Solve 3*v**4 - 7494*v**3 - 30012*v**2 - 30024*v = 0.
-2, 0, 2502
Determine a, given that -a**5/2 - 603*a**4 - 20175*a**3/2 + 22591*a**2 = 0.
-1189, -19, 0, 2
Factor -d**2/3 - 164*d - 27392/3.
-(d + 64)*(d + 428)/3
Factor 2*a**2/7 + 96*a + 8398/7.
2*(a + 13)*(a + 323)/7
Factor -4*g**3 + 208*g**2 - 1604*g + 2408.
-4*(g - 43)*(g - 7)*(g - 2)
Factor -2*g**2/9 - 24092*g/3 - 72553058.
-2*(g + 18069)**2/9
What is x in 2*x**3/3 + 145012*x**2/3 + 2628560018*x/3 = 0?
-36253, 0
What is z in z**5 - 161*z**4 + 788*z**3 - 1252*z**2 + 624*z = 0?
0, 1, 2, 156
Factor 5*t**4 - 1273*t**3.
t**3*(5*t - 1273)
Factor -6*b**4/11 - 7038*b**3/11 - 7032*b**2/11.
-6*b**2*(b + 1)*(b + 1172)/11
Factor r**3/2 - 63*r**2/2 - 494*r.
r*(r - 76)*(r + 13)/2
What is h in 16*h**3/7 + 12044*h**2/7 + 2283000*h/7 + 6187500/7 = 0?
-375, -11/4
Determine s, given that 3*s**3 + 3237*s**2 + 1146285*s + 133656075 = 0.
-449, -315
Find t such that -t**3/5 - 16006*t**2/5 + 16007*t/5 = 0.
-16007, 0, 1
Factor -4*w**3 - 1788*w**2 - 31112*w - 96096.
-4*(w + 4)*(w + 14)*(w + 429)
Factor -m**2/3 - 574487*m/3 + 191496.
-(m - 1)*(m + 574488)/3
Find l, given that l**5/6 - 212*l**4/3 - 1543*l**3/3 + 14926*l**2/3 - 48755*l/6 + 11206/3 = 0.
-13, 1, 4, 431
Factor -2*z**2/17 + 203512*z/17 - 5177141768/17.
-2*(z - 50878)**2/17
Solve -3*m**4 - 3348*m**3 + 23553*m**2 - 33690*m = 0.
-1123, 0, 2, 5
Determine n, given that 86*n**3/3 + 170*n**2/3 - 4*n/3 = 0.
-2, 0, 1/43
Suppose -4*g**4 + 808*g**3 + 32252*g**2 + 218208*g + 409536 = 0. What is g?
-27, -4, 237
What is o in 14*o**2/19 + 1511136*o/19 + 431752/19 = 0?
-107938, -2/7
What is k in k**4 - 14*k**3 - 51*k**2 = 0?
-3, 0, 17
Suppose -q**3 + 8050*q**2 + 16103*q + 8052 = 0. What is q?
-1, 8052
Let g**2 + 8775*g - 35116 = 0. Calculate g.
-8779, 4
Suppose -m**4/4 + 59*m**3/4 + 263*m**2/4 - 699*m/4 + 189/2 = 0. Calculate m.
-6, 1, 63
Factor 14*q**2/15 - 17672*q + 75736/15.
2*(q - 18934)*(7*q - 2)/15
Factor 4*m**2 + 28736*m - 1301220.
4*(m - 45)*(m + 7229)
Factor 5*v**3 + 885*v**2 - 68750*v - 141000.
5*(v - 60)*(v + 2)*(v + 235)
Suppose -3*c**5 - 84*c**4 - 759*c**3 - 2514*c**2 - 3396*c - 1560 = 0. Calculate c.
-13, -10, -2, -1
Suppose p**3/7 - 17392*p**2/7 + 86941*p/7 - 104322/7 = 0. Calculate p.
2, 3, 17387
Factor -2*d**2 + 9700*d - 11761250.
-2*(d - 2425)**2
Factor r**2/7 + 314*r/7 - 84912/7.
(r - 174)*(r + 488)/7
Factor 3*x**2/8 + 1179*x/8 - 2454.
3*(x - 16)*(x + 409)/8
Let u**4/3 - 1579*u**3/3 - 7414*u**2 - 31836*u - 38232 = 0. What is u?
-6, -2, 1593
Suppose h**5/2 + 373*h**4 - 6089*h**3 + 5342*h**2 + 12177*h/2 - 5715 = 0. What is h?
-762, -1, 1, 15
Let -4*f**4 + 92*f**3 + 6816*f**2 + 92720*f + 377600 = 0. Calculate f.
-16, -10, 59
Factor m**4 - 7316*m**3 + 13395588*m**2 - 53494592*m + 53465344.
(m - 3656)**2*(m - 2)**2
Let 3*p**5 - 924*p**4 + 50286*p**3 - 707652*p**2 + 658287*p = 0. Calculate p.
0, 1, 21, 43, 243
Factor -2*k**3 - 7320*k**2 - 210654*k - 203336.
-2*(k + 1)*(k + 28)*(k + 3631)
Let 3*u**3/4 - 261*u**2/4 + 1005*u/4 - 747/4 = 0. Calculate u.
1, 3, 83
Let 2*o**5 + 1340*o**4/7 - 5942*o**3/7 + 5788*o**2/7 - 1200*o/7 = 0. Calculate o.
-100, 0, 2/7, 1, 3
Solve 3*k**2 + 621*k - 279882 = 0 for k.
-426, 219
Factor 2*x**2/13 + 96*x/13 - 200/13.
2*(x - 2)*(x + 50)/13
Find c such that c**3 - 15730*c**2 - 31463*c - 15732 = 0.
-1, 15732
Factor -3*p**2 - 3219*p - 9630.
-3*(p + 3)*(p + 1070)
Factor 3*q**3 - 123981*q**2 - 495960*q - 495972.
3*(q - 41331)*(q + 2)**2
What is y in 3*y**3/7 + 2655*y**2 + 28549800*y/7 - 725407500/7 = 0?
-3110, 25
Suppose 5*x**2 + 890*x + 39560 = 0. Calculate x.
-92, -86
Factor -4*s**2/7 + 53540*s/7 + 53544/7.
-4*(s - 13386)*(s + 1)/7
Suppose -2*o**4/5 - 14*o**3/5 + 7228*o**2/5 + 165696*o/5 + 192960 = 0. Calculate o.
-50, -12, 67
Factor -5*t**2 + 2845*t - 312900.
-5*(t - 420)*(t - 149)
Factor 3*s**3 - 13401*s**2 - 3*s + 13401.
3*(s - 4467)*(s - 1)*(s + 1)
Suppose -3*r**4 + 18*r**3 + 471*r**2 - 1998*r + 1512 = 0. Calculate r.
-12, 1, 3, 14
Factor 3*b**2 + 367785*b - 367788.
3*(b - 1)*(b + 122596)
Find k such that -k**4/7 - 60*k**3/7 + 825*k**2/7 - 2780*k/7 + 288 = 0