28 = 0.
-20, -1, 16694
Find f, given that -f**3 + 1690*f**2 + 10167*f + 15264 = 0.
-3, 1696
Solve -s**3/10 + 2789*s**2/10 - 29212*s = 0.
0, 109, 2680
Factor 4*r**3/5 - 12*r**2 - 30724*r/5 + 6156.
4*(r - 95)*(r - 1)*(r + 81)/5
Let -l**2/5 - 4751*l/5 + 4752/5 = 0. Calculate l.
-4752, 1
Factor -3*x**2/2 + 59436*x - 118866.
-3*(x - 39622)*(x - 2)/2
Factor -42*g**3 - 25*g**2/2 + g/2.
-g*(3*g + 1)*(28*g - 1)/2
Suppose 4*h**3 - 55*h**2 - 218*h - 51 = 0. What is h?
-3, -1/4, 17
Determine n, given that 2*n**2/7 - 13724*n/7 + 23543522/7 = 0.
3431
Find j such that -4*j**2 - 6320*j - 25216 = 0.
-1576, -4
Factor -b**3 - 2499*b**2 + b + 2499.
-(b - 1)*(b + 1)*(b + 2499)
Factor -68*d**2 + 20*d.
-4*d*(17*d - 5)
Determine k, given that 32*k**3 + 47868*k**2 - 5984*k = 0.
-1496, 0, 1/8
Solve 3*l**3 + 302322*l**2 + 1209252*l + 1209240 = 0 for l.
-100770, -2
Factor -2*v**3 + 2490*v**2 - 778734*v + 2313846.
-2*(v - 621)**2*(v - 3)
Find j, given that -j**2 - 943*j + 4740 = 0.
-948, 5
Solve -45*k**4 + 1385*k**3 - 7520*k**2 + 4740*k + 1440 = 0 for k.
-2/9, 1, 6, 24
Factor 3*s**2/8 + 6723*s/8 - 6747.
3*(s - 8)*(s + 2249)/8
Let -3*z**3/5 + 3711*z**2/5 - 11112*z/5 + 7404/5 = 0. Calculate z.
1, 2, 1234
Solve g**3/2 + 2875*g**2/2 = 0 for g.
-2875, 0
Suppose -98*n**2 + 4424*n - 49928 = 0. What is n?
158/7
Find q, given that -3*q**2/2 + 1133337*q/2 + 566670 = 0.
-1, 377780
Factor 18*f**3 - 1779*f**2 - 6147*f + 33966.
3*(f - 102)*(f - 3)*(6*f + 37)
Let -2*x**2/5 + 772*x/5 = 0. Calculate x.
0, 386
Find o such that -o**5 - 101*o**4 - 2450*o**3 + 2552*o**2 = 0.
-58, -44, 0, 1
Solve -6*i**2 - 225273*i/5 + 112644/5 = 0.
-37548/5, 1/2
Suppose -4*d**3/3 + 2316*d**2 - 59540*d + 1156636/3 = 0. What is d?
13, 1711
Let -3*r**4/8 - 237*r**3/4 - 18603*r**2/8 - 6567*r - 8601/2 = 0. What is r?
-94, -61, -2, -1
Find p such that 6*p**3 + 7672*p**2 + 43302*p + 25460 = 0.
-1273, -5, -2/3
Factor m**3 - 1742*m**2 - 15745*m - 24514.
(m - 1751)*(m + 2)*(m + 7)
Find s such that 14*s**4 + 2182*s**3 - 2686*s**2 - 27318*s = 0.
-157, -3, 0, 29/7
Suppose -2*b**4/11 - 90*b**3/11 - 696*b**2/11 + 1768*b/11 = 0. What is b?
-34, -13, 0, 2
Factor 12*k**3/5 - 513046*k**2/5 - 85508*k/5.
2*k*(k - 42754)*(6*k + 1)/5
Factor -2*d**2/9 + 321914*d/9 - 35768.
-2*(d - 160956)*(d - 1)/9
Factor 4*h**2/3 + 776688*h + 113108296752.
4*(h + 291258)**2/3
Determine c, given that c**2/8 - 3467*c/8 + 1733/4 = 0.
1, 3466
Let -g**3/2 - 68*g**2 + 1291*g/2 - 1015 = 0. Calculate g.
-145, 2, 7
Find k, given that -3*k**5 + 69*k**4 - 15*k**3 - 1077*k**2 - 990*k = 0.
-3, -1, 0, 5, 22
What is j in 4*j**3 + 434828*j**2 - 2609076*j + 3913668 = 0?
-108713, 3
Factor 2*d**3/17 + 8038*d**2/17 - 307610*d/17 + 2929154/17.
2*(d - 19)**2*(d + 4057)/17
Let 3*f**2 - 48*f + 180 = 0. What is f?
6, 10
Find g such that -4*g**4 + 2404*g**3/7 + 15548*g**2/7 + 25356*g/7 + 3312/7 = 0.
-3, -1/7, 92
Factor 5*q**3/3 + 202*q**2 + 437*q + 238/3.
(q + 2)*(q + 119)*(5*q + 1)/3
Suppose -2*r**4/9 - 352*r**3/9 + 358*r**2/9 + 236*r/3 = 0. What is r?
-177, -1, 0, 2
What is x in 3*x**4/2 - 213*x**3/2 + 1827*x**2 - 3240*x = 0?
0, 2, 24, 45
Solve 5*a**3 - 1410*a**2 + 38925*a - 283500 = 0 for a.
15, 252
Find j such that -3*j**5 + 183*j**4 - 3558*j**3 + 19302*j**2 + 50025*j + 26979 = 0.
-1, 17, 23
What is p in p**5 - 70*p**4 - 5587*p**3 - 108956*p**2 - 693840*p - 590400 = 0?
-20, -12, -1, 123
Factor -4*k**4 + 70296*k**3 - 308775172*k**2 - 617761248*k - 308915776.
-4*(k - 8788)**2*(k + 1)**2
Factor -2*c**4/3 + 42178*c**3/3 + 42184*c**2.
-2*c**2*(c - 21092)*(c + 3)/3
Find s such that 22*s**4 - 500*s**3/3 - 5458*s**2/3 - 6652*s/3 - 560/3 = 0.
-5, -4/3, -1/11, 14
What is y in 3*y**4 - 549*y**3 + 6699*y**2 - 11763*y + 5610 = 0?
1, 11, 170
Factor -5*i**3 + 17615*i**2.
-5*i**2*(i - 3523)
Suppose 2*m**4 - 5596*m**3 + 4051802*m**2 - 192222600*m + 2359845000 = 0. What is m?
25, 1374
Factor y**2/2 - 2470*y + 3050450.
(y - 2470)**2/2
Let -12*i**5/5 + 264*i**4/5 + 873*i**3/5 - 38589*i**2/5 + 1392*i/5 + 1453248/5 = 0. What is i?
-8, 9, 29/2
Suppose -16*o**2 + 286538*o + 107454 = 0. Calculate o.
-3/8, 17909
Determine k, given that 14*k**2/3 + 4946*k/3 + 1644 = 0.
-2466/7, -1
Let -2*w**2 - 70*w - 468 = 0. What is w?
-26, -9
What is g in g**5 + 132*g**4 + 257*g**3 - 398*g**2 - 1044*g - 520 = 0?
-130, -2, -1, 2
Solve 3*v**5 + 1044*v**4 + 40257*v**3 + 39216*v**2 = 0 for v.
-304, -43, -1, 0
Determine f so that -2*f**4/7 - 16*f**3/7 + 8*f**2/7 + 64*f/7 = 0.
-8, -2, 0, 2
Let d**3/7 + 24*d**2 + 2124*d/7 - 704 = 0. What is d?
-154, -16, 2
Factor -3*q**3/4 + 1257*q**2/4 - 933*q - 1248.
-3*(q - 416)*(q - 4)*(q + 1)/4
Factor 3*c**3 - 13203*c**2 + 14598945*c - 158994825.
3*(c - 2195)**2*(c - 11)
What is y in -5*y**4 + 1570*y**3 - 129360*y**2 + 959310*y - 1755675 = 0?
3, 5, 153
Solve -2*t**3/17 + 12694*t**2/17 - 20148550*t/17 + 20135858/17 = 0 for t.
1, 3173
Factor -2*g**3/11 - 5924*g**2/11 + 47488*g/11 - 8640.
-2*(g - 4)**2*(g + 2970)/11
What is s in -2*s**3/5 - 478*s**2/5 - 6944*s - 796544/5 = 0?
-127, -56
Find g, given that 2*g**2/13 + 1806*g/13 - 107408/13 = 0.
-959, 56
Let -9*i**3/8 - 49269*i**2/8 - 67436943*i/8 - 22473507/8 = 0. Calculate i.
-2737, -1/3
Suppose 2*j**2/3 - 19114*j - 114692/3 = 0. Calculate j.
-2, 28673
Factor -4*a**2/7 - 596536*a/7 - 22240949956/7.
-4*(a + 74567)**2/7
Solve q**2/3 + 160*q - 3904/3 = 0 for q.
-488, 8
Find d, given that -d**3 - 96*d**2 + 8509*d - 32436 = 0.
-153, 4, 53
Find z, given that z**3 - 112388*z**2 + 3157428445*z + 18948616854 = 0.
-6, 56197
Factor u**2/4 - 110*u + 439/4.
(u - 439)*(u - 1)/4
Factor 46*b**3 + 11043*b**2 + 720*b.
b*(b + 240)*(46*b + 3)
Factor u**3/4 - 155*u**2/4 - 161*u/2 + 314.
(u - 157)*(u - 2)*(u + 4)/4
Factor -3*z**5/2 + 1155*z**4/2 + 9528*z**3 + 38496*z**2.
-3*z**2*(z - 401)*(z + 8)**2/2
What is j in -j**2/3 - 1355*j/3 - 6700 = 0?
-1340, -15
Factor 2*s**2 + 6566*s + 32780.
2*(s + 5)*(s + 3278)
Let -2*j**3/3 - 77*j**2/3 + 500*j + 525 = 0. Calculate j.
-105/2, -1, 15
Factor -31*o**2 + 16126*o/5 - 624/5.
-(o - 104)*(155*o - 6)/5
What is v in 2*v**2/11 - 43216*v/11 + 259224/11 = 0?
6, 21602
Let -2*t**4 - 17498*t**3 + 70014*t**2 - 87526*t + 35012 = 0. Calculate t.
-8753, 1, 2
Factor 2*m**3/11 + 4*m**2 - 3394*m/11 + 3348/11.
2*(m - 31)*(m - 1)*(m + 54)/11
Let -2*h**2/13 - 249516*h/13 - 7782279282/13 = 0. What is h?
-62379
Let -4*w**3 - 13720*w**2 + 4*w + 13720 = 0. Calculate w.
-3430, -1, 1
Suppose 2*p**5/9 - 2374*p**4/9 - 4*p**3/9 + 4748*p**2/9 + 2*p/9 - 2374/9 = 0. What is p?
-1, 1, 1187
Determine y, given that -2*y**5/11 - 398*y**4/11 + 12658*y**3/11 - 12258*y**2/11 = 0.
-227, 0, 1, 27
Solve -2*s**5 - 40*s**4 + 130*s**3 + 5120*s**2 + 12040*s - 17248 = 0 for s.
-14, -4, 1, 11
Factor 2*f**2 - 1682*f + 276416.
2*(f - 617)*(f - 224)
Factor -3*f**4/4 + 4287*f**3/2 - 1421097*f**2 - 160559574*f.
-3*f*(f - 1478)**2*(f + 98)/4
What is h in -5*h**2 - 279425*h - 838230 = 0?
-55882, -3
Let 10*h**3 + 4235*h**2 - 6375*h = 0. Calculate h.
-425, 0, 3/2
Factor q**3/5 + 734*q**2/5 + 19516*q - 2891320.
(q - 86)*(q + 410)**2/5
Let 2*r**3/3 - 26*r**2/3 - 128*r/3 - 136/3 = 0. Calculate r.
-2, 17
Factor p**4/5 + 555*p**3 - 5557*p**2/5 - 8331*p/5.
p*(p - 3)*(p + 1)*(p + 2777)/5
Let -2*b**2/9 + 1082*b/9 + 1084/9 = 0. Calculate b.
-1, 542
Factor u**4 + 311*u**3 - 987*u**2 - 14211*u - 25434.
(u - 9)*(u + 3)**2*(u + 314)
What is d in 4*d**3 + 20648*d**2 - 61972*d + 41320 = 0?
-5165, 1, 2
Determine v so that 35*v**5 - 95*v**4 - 660*v**3 - 180*v**2 = 0.
-3, -2/7, 0, 6
Suppose -4*t**5 - 452*t**4 + 1876*t**3 + 452*t**2 - 1872*t = 0. What is t?
-117, -1, 0, 1, 4
Solve -3435606845*t**3 - 20612854680*t**2 + 4718295*t - 270 = 0 for t.
-6, 3/26213
Suppose -h**5 + 399*h**4 + 3649*h**3 + 9369*h**2 + 6120*h = 0. What is h?
-5, -3, -1, 0, 408
Factor 2*s**2/3 - 1606*s/3 - 386836/3.
2*(s - 997)*(s + 194)/3
Solve -15*c**4/2 + 5628*c**3 - 115875*c**2/2 + 161025*c - 55500 = 0.
2/5, 5, 740
Factor 4*i**3 + 7380*i**2 + 276108*i + 2609308.
4*(i + 19)**2*(i + 1807)
Let 3*w**3 - 5346*w**2 - 16077*w + 21420 = 0. What is w?
-4, 1, 1785
Find h, given that -16*h**5/7 - 1370*h**4/7 - 4812*h**3/7 - 4594*h**2/7 - 152*h/7 + 984/7 = 0.
-82, -2, -1, 3/8
What is p in -p**4/4 + 24*p**3 - 539*p**2/2 - 24*p + 1079/4 = 0?
-1, 1, 13, 83
Factor 2*l**3 + 576*l**2 + 21070*l.
2*l*(l + 43)*(l + 245)
Let 3*s**4