1 + 11304*i/11 + 22640/11 = 0.
-2, 2, 1415
Find z such that z**2/2 + 1821*z + 3316041/2 = 0.
-1821
Factor -2*r**3 - 150*r**2 - 144*r + 296.
-2*(r - 1)*(r + 2)*(r + 74)
Factor 2*s**2/19 + 64*s/19 - 2080/19.
2*(s - 20)*(s + 52)/19
Factor -3*z**2/5 + 48*z - 4032/5.
-3*(z - 56)*(z - 24)/5
Find f such that -4*f**3 + 115328*f**2 - 831284224*f = 0.
0, 14416
Suppose 92*j**3 - 18040*j**2 + 310964*j - 26904 = 0. Calculate j.
2/23, 19, 177
Factor -2*m**2 - 788*m + 1584.
-2*(m - 2)*(m + 396)
What is i in -20*i**5 - 389*i**4/7 - 317*i**3/7 - 17*i**2/7 + 61*i/7 + 10/7 = 0?
-1, -5/28, 2/5
Solve -3*j**4 + 10902*j**3 - 9947931*j**2 + 78887256*j = 0 for j.
0, 8, 1813
Find o such that 5*o**5 + 2880*o**4 + 431215*o**3 + 4632960*o**2 - 19652580*o - 23857200 = 0.
-282, -15, -1, 4
Let -g**3 + 920*g**2 = 0. Calculate g.
0, 920
Factor -n**2/2 + 73710*n + 147421/2.
-(n - 147421)*(n + 1)/2
Factor i**2/2 + 2557*i/2 - 45360.
(i - 35)*(i + 2592)/2
Factor -2*b**2/9 + 1178752*b/9 - 173682034688/9.
-2*(b - 294688)**2/9
Let 169*f**3/7 - 24557*f**2/7 + 7544*f/7 - 580/7 = 0. Calculate f.
2/13, 145
Solve 32*d**5 - 12464*d**4 + 1445554*d**3 - 52795162*d**2 + 26127318*d - 3254670 = 0.
1/4, 87, 215
Find f such that -f**4/4 + 41*f**3/2 - 927*f**2/4 + 1035*f/2 = 0.
0, 3, 10, 69
Factor -5*q**3 + 1980*q**2.
-5*q**2*(q - 396)
Determine a, given that 2*a**4/9 - 46*a**3/9 - 92*a**2/3 - 128*a/9 + 448/9 = 0.
-4, -2, 1, 28
Solve -4*o**2 - 552*o - 9828 = 0.
-117, -21
Factor k**2/2 - 22483*k/2 + 11241.
(k - 22482)*(k - 1)/2
Determine q, given that q**2/4 - 341941*q/4 - 170971/2 = 0.
-1, 341942
Solve 5*c**2/3 - 166030*c/3 - 55345 = 0.
-1, 33207
Solve -p**4/4 + 567*p**3/2 - 78975*p**2 + 16878537*p/2 - 1254062979/4 = 0.
117, 783
Factor 4*r**3 - 4588*r**2 + 1336012*r - 11655396.
4*(r - 569)**2*(r - 9)
Factor -w**3/10 + 3183*w**2/10 - 226452*w - 43785730.
-(w - 1670)**2*(w + 157)/10
Solve 3*k**4/2 + 117*k**3 - 1479*k**2/2 + 1377*k - 756 = 0 for k.
-84, 1, 2, 3
Solve 6*m**4 + 261*m**3 + 1674*m**2 + 1944*m = 0.
-36, -6, -3/2, 0
Let -2312*w**3 + 657696*w**2 - 47100906*w + 46445522 = 0. What is w?
1, 4819/34
Factor -x**2/5 - 16679*x/5 - 16674.
-(x + 5)*(x + 16674)/5
Factor 4*h**3/3 + 4947*h**2 + 4589270*h + 3441025/3.
(h + 1855)**2*(4*h + 1)/3
What is k in -4*k**3 - 5488*k**2 + 22000*k - 22016 = 0?
-1376, 2
Factor -l**2/7 - 891*l.
-l*(l + 6237)/7
Let -74*c**3 - 2298*c**2 - 6340*c - 336 = 0. What is c?
-28, -3, -2/37
Factor 2*j**3/7 - 4416*j**2/7 + 2437632*j/7.
2*j*(j - 1104)**2/7
Determine c so that -3*c**5 - 4368*c**4 - 77943*c**3 - 418890*c**2 - 621408*c - 276096 = 0.
-1438, -8, -1
Suppose -z**4/3 + 52*z**3 - 5243*z**2/3 = 0. What is z?
0, 49, 107
Factor -4*d**3 - 956*d**2 + 4880*d.
-4*d*(d - 5)*(d + 244)
Factor 3*h**5/7 - 18441*h**4/7 + 36873*h**3/7 - 18435*h**2/7.
3*h**2*(h - 6145)*(h - 1)**2/7
Factor -3*j**3 + 6147*j**2 - 42912*j + 61260.
-3*(j - 2042)*(j - 5)*(j - 2)
What is p in -5*p**2/6 + 421655*p/6 - 70275 = 0?
1, 84330
Suppose 2*v**3 + 1870*v**2 + 472926*v + 16384338 = 0. Calculate v.
-447, -41
Find l such that l**4/3 - 88*l**3/3 + 553*l**2 - 1764*l = 0.
0, 4, 21, 63
Factor 45*r**3 - 575*r**2 - 1060*r + 4060.
5*(r - 14)*(r - 2)*(9*r + 29)
What is f in -5*f**3 + 1525*f**2 + 58880*f + 210800 = 0?
-31, -4, 340
Solve 4*i**2 - 128*i + 1008 = 0.
14, 18
Factor -4*c**2 + 140540*c + 281096.
-4*(c - 35137)*(c + 2)
Determine y so that 4*y**5 + 920*y**4 - 2832*y**3 - 8280*y**2 + 25164*y = 0.
-233, -3, 0, 3
Solve 986*b**2/3 - 434830*b/3 + 588 = 0 for b.
2/493, 441
Let 5*l**5 - 630*l**4 + 20040*l**3 - 119570*l**2 + 242355*l - 142200 = 0. What is l?
1, 3, 40, 79
Solve -d**4/3 - 568*d**3/3 + 1711*d**2/3 - 1142*d/3 = 0 for d.
-571, 0, 1, 2
Suppose -r**2 + 4303*r - 17196 = 0. What is r?
4, 4299
Factor -4*v**3 - 54820*v**2 - 187854432*v - 187799616.
-4*(v + 1)*(v + 6852)**2
Factor 28*l**4 - 502048*l**3 + 2250537740*l**2 - 642969800*l.
4*l*(l - 8965)**2*(7*l - 2)
Determine i so that i**4/4 - 180*i**3 + 85293*i**2/2 - 3188646*i - 129140163/4 = 0.
-9, 243
Factor -15*n**3 + 31827*n**2 + 63699*n + 31857.
-3*(n + 1)**2*(5*n - 10619)
Determine v so that 2*v**2/15 + 916*v/5 - 44080/3 = 0.
-1450, 76
Factor 2*x**5 + 12*x**4 - 494*x**3.
2*x**3*(x - 13)*(x + 19)
Factor 5*v**3 + 87800*v**2 + 385442000*v.
5*v*(v + 8780)**2
Suppose -d**3/3 + 7059*d**2 = 0. Calculate d.
0, 21177
Factor -5*w**2 + 6985*w + 141700.
-5*(w - 1417)*(w + 20)
Factor -u**3/3 - 39*u**2 - 1880*u/3 - 588.
-(u + 1)*(u + 18)*(u + 98)/3
Factor 2*w**3/9 - 2962*w**2/9 - 2*w/9 + 2962/9.
2*(w - 1481)*(w - 1)*(w + 1)/9
Suppose -2*p**4 + 772*p**3 + 185278*p**2 - 50136768*p - 8435446272 = 0. Calculate p.
-176, 369
Find q, given that q**5 + 146*q**4 + 5604*q**3 + 19454*q**2 - 25205*q = 0.
-71, -5, 0, 1
Determine z so that 2*z**5/3 - 718*z**4/3 + 22320*z**3 - 2422400*z**2/3 + 30592000*z/3 = 0.
0, 40, 239
Factor 2*c**2/21 - 2056*c/7 - 30890/21.
2*(c - 3089)*(c + 5)/21
Let h**4/4 + 85*h**3 - 24807*h**2 - 5445440*h + 1026049024 = 0. Calculate h.
-352, 182
Let 3*a**3 - 471*a**2 + 2745*a - 4077 = 0. Calculate a.
3, 151
What is z in 2*z**2 - 312*z + 12040 = 0?
70, 86
Find j such that -j**5 + 8*j**4 + 32*j**3 - 246*j**2 + 369*j - 162 = 0.
-6, 1, 3, 9
Factor c**4/11 - 872*c**3/11 + 316*c**2 - 3472*c/11.
c*(c - 868)*(c - 2)**2/11
Determine c so that -24*c**5/11 - 2762*c**4/11 - 5648*c**3/11 + 254*c**2/11 + 3164*c/11 = 0.
-113, -7/4, -1, 0, 2/3
Let -d**5 - 30*d**4 + 409*d**3 + 16038*d**2 + 63072*d - 79488 = 0. What is d?
-24, -6, 1, 23
Let -4*d**5/5 + 1916*d**4/5 - 1892*d**3/5 - 9548*d**2/5 - 5736*d/5 = 0. What is d?
-1, 0, 3, 478
Suppose -s**2/5 + 364148*s/5 - 33150941476/5 = 0. Calculate s.
182074
Find y, given that 45*y**4 - 2470*y**3 - 212315*y**2 + 11912060*y + 1326180 = 0.
-69, -1/9, 62
Solve -3*p**3/4 - 3139*p**2/4 + 2619*p/2 - 524 = 0.
-1048, 2/3, 1
Factor -4*z**3/7 - 10272*z**2/7 + 20556*z/7 - 10280/7.
-4*(z - 1)**2*(z + 2570)/7
Factor t**3/7 - 20*t**2/7 - 97*t + 770.
(t - 35)*(t - 7)*(t + 22)/7
Factor 2*d**3/9 + 8144*d**2/9 + 914810*d - 12985308.
2*(d - 14)*(d + 2043)**2/9
Factor -y**3/3 + 307*y**2 + 7420*y/3 + 3716.
-(y - 929)*(y + 2)*(y + 6)/3
Factor -y**5/5 - 4*y**4 - 159*y**3/5 - 628*y**2/5 - 1232*y/5 - 192.
-(y + 3)*(y + 4)**3*(y + 5)/5
Determine m, given that 2*m**2/5 + 11224*m/5 - 67416/5 = 0.
-5618, 6
What is h in h**3/3 - 259*h**2/3 + 7714*h/3 - 4800 = 0?
2, 32, 225
What is g in -5*g**5/4 - 6*g**4 + 17*g**3/4 + 38*g**2 + 9*g - 44 = 0?
-4, -2, 1, 11/5
Determine f so that f**2/3 + 28384*f/3 + 201412864/3 = 0.
-14192
Solve -2*p**3/5 + 1678*p**2/5 - 69886*p - 1063446/5 = 0 for p.
-3, 421
Factor -r**4/11 + 137844*r**3/11 - 4749001326*r**2/11 - 85515522876*r/11 - 384870103641/11.
-(r - 68931)**2*(r + 9)**2/11
Let q**2/4 + 2809*q/4 + 8391 = 0. Calculate q.
-2797, -12
What is i in 3*i**3/7 + 22941*i**2/7 + 137517*i/7 - 22923 = 0?
-7641, -7, 1
Suppose g**3 - 443*g**2 - 4970*g - 10896 = 0. Calculate g.
-8, -3, 454
Factor 2*f**2/3 - 557148*f + 116405210214.
2*(f - 417861)**2/3
Let -b**2 - 42080*b - 442681600 = 0. What is b?
-21040
Factor k**2/11 + 15122*k/11 + 57168721/11.
(k + 7561)**2/11
Let -8*s**5/7 - 254*s**4/7 - 174*s**3/7 + 382*s**2/7 + 310*s/7 = 0. What is s?
-31, -1, 0, 5/4
Factor 2*k**2/3 + 878*k/3.
2*k*(k + 439)/3
Factor n**5 + 404*n**4 - 1628*n**3 + 1632*n**2.
n**2*(n - 2)**2*(n + 408)
Let -h**4/8 + 407*h**3/8 - 1407*h**2/4 + 701*h - 400 = 0. What is h?
1, 2, 4, 400
Factor 124*d**5 - 1492*d**4 + 4512*d**3 - 144*d**2.
4*d**2*(d - 6)**2*(31*d - 1)
Suppose k**3/2 + 1938*k**2 + 152640*k + 3036800 = 0. Calculate k.
-3796, -40
Suppose -98*z**5 + 1918*z**4 - 6954*z**3 + 24854*z**2/7 - 4276*z/7 + 240/7 = 0. What is z?
1/7, 2/7, 4, 15
Solve 3*x**5/2 - 14310*x**4 + 45303696*x**3 - 46947928872*x**2 - 2052793599192*x = 0.
-42, 0, 3194
Factor -2*w**3/9 - 18160*w**2/3 + 24216*w - 217952/9.
-2*(w - 2)**2*(w + 27244)/9
Let -2*w**2/5 + 448392*w/5 = 0. What is w?
0, 224196
Solve -3*t**4/7 + 738*t**3/7 - 195*t**2 - 24426*t/7 + 65880/7 = 0 for t.
-6, 3, 5, 244
What is b in -24*b**5 - 127*b**4 - 35*b**3 = 0?
-5, -7/24, 0
Let w**5/5 + 26*w**4 + 1297*w**3/5 - 1428*w**2/5 = 0. What is w?
-119, -12, 0, 1
Factor 4*g**3 + 4308*g**2 + 1254540*g + 49862300.
4*(g + 47)*(g + 515)**2
Factor -t**2/8 - 7427*t/2 - 55160329/2.
-(t + 14854)**2/8
Find y such that y**4/3 - 103*y**3/3 + 3217