 + 1335 = 0. Calculate o.
-5, -1, 267
Suppose -v**2/3 - 80*v + 7504/3 = 0. Calculate v.
-268, 28
Find f, given that f**3/4 - 81*f**2/2 + 1545*f/4 - 950 = 0.
5, 152
Let -3*d**4 - 1083*d**3/7 - 1620*d**2/7 + 1524*d/7 + 1200/7 = 0. Calculate d.
-50, -2, -4/7, 1
Factor c**3/2 - 79*c**2/2 + 182*c + 222.
(c - 74)*(c - 6)*(c + 1)/2
Factor -3*m**4 + 1554*m**3 - 204315*m**2 + 792588*m.
-3*m*(m - 257)**2*(m - 4)
Solve -2*h**4/13 + 506*h**3/13 + 6*h**2/13 - 1522*h/13 + 1012/13 = 0.
-2, 1, 253
Let -4*c**2/7 - 248*c/7 - 220 = 0. Calculate c.
-55, -7
Let -5*j**3/3 + 1967*j**2/3 + 3949*j/3 + 659 = 0. What is j?
-1, 1977/5
Determine b, given that b**5/2 - 122*b**4 - 2765*b**3/2 - 5076*b**2 - 6120*b = 0.
-4, -3, 0, 255
Factor 2*y**2/5 + 11086*y/5 - 44376/5.
2*(y - 4)*(y + 5547)/5
Let -15*o**4 - 129*o**3/2 - 3*o**2 + 129*o/2 + 18 = 0. What is o?
-4, -1, -3/10, 1
Find i, given that 6*i**4 + 327*i**3/2 + 1092*i**2 - 3207*i/2 - 23058 = 0.
-61/4, -9, -7, 4
Factor -20*q**3 - 325*q**2 - 640*q - 140.
-5*(q + 2)*(q + 14)*(4*q + 1)
Solve 76*u**4 + 312*u**3 - 804*u**2 + 368*u + 48 = 0.
-6, -2/19, 1
Suppose 2*v**3/13 + 11632*v**2/13 + 16889640*v/13 - 67744800/13 = 0. What is v?
-2910, 4
Factor n**2/3 + 60698*n/3 + 921061801/3.
(n + 30349)**2/3
Find g such that -g**2 + 443057*g = 0.
0, 443057
Factor a**5 - 19*a**4 - 336*a**3 + 4240*a**2 + 41600*a.
a*(a - 20)**2*(a + 8)*(a + 13)
What is h in -h**3 - 1816*h**2 + 7276*h - 7280 = 0?
-1820, 2
What is t in 2*t**2/7 + 592*t + 299550/7 = 0?
-1997, -75
Let 12*f**2 + 3618*f + 1090827/4 = 0. What is f?
-603/4
Solve 4*y**2 - 21576*y - 43168 = 0.
-2, 5396
Find m such that 21*m**2/2 - 84675*m + 24192 = 0.
2/7, 8064
Suppose -75*w**2/7 + 7921770*w/7 - 209181466443/7 = 0. What is w?
264059/5
Factor -2*t**2/3 - 392*t + 21726.
-2*(t - 51)*(t + 639)/3
What is i in -5*i**4 + 2845*i**3 - 46970*i**2 + 27120*i + 264960 = 0?
-2, 3, 16, 552
Determine j so that j**4/2 + 15*j**3 + 265*j**2/2 + 300*j + 182 = 0.
-14, -13, -2, -1
Suppose m**2 - 202*m + 2976 = 0. What is m?
16, 186
What is x in 3*x**2 - 1575618*x + 206881006827 = 0?
262603
Suppose 3*l**2/4 - 879*l + 10521/4 = 0. What is l?
3, 1169
What is h in 2*h**2 + 2632*h - 18522 = 0?
-1323, 7
Let -95*w**2 - 43825*w - 13830 = 0. What is w?
-461, -6/19
What is k in 4*k**5 - 1116*k**4 + 7656*k**3 - 10880*k**2 = 0?
0, 2, 5, 272
Factor l**4 + 675*l**3 + 117528*l**2 + 1212464*l.
l*(l + 11)*(l + 332)**2
Find w such that -2*w**5 - 1264*w**4 - 3766*w**3 + 5056*w**2 + 15096*w = 0.
-629, -3, -2, 0, 2
Factor -2*m**3 - 222*m**2 - 6832*m - 37632.
-2*(m + 7)*(m + 48)*(m + 56)
Determine x, given that -7*x**3 + 139*x**2/4 + 173*x/4 + 3/2 = 0.
-1, -1/28, 6
Factor 5*k**4 + 125*k**3 - 13685*k**2 + 187795*k.
5*k*(k - 23)**2*(k + 71)
Let -z**2/5 - 2851*z + 14256/5 = 0. What is z?
-14256, 1
Find x such that 6*x**5/7 + 1258*x**4/7 + 40346*x**3/7 + 400374*x**2/7 + 849320*x/7 + 399976/7 = 0.
-173, -17, -2, -2/3
Solve -235*i**5/8 + 3053*i**4/8 - 2931*i**3/2 + 3265*i**2/2 + 14*i = 0.
-2/235, 0, 2, 4, 7
Determine m, given that m**3 - 1562*m**2 - 22096*m + 50432 = 0.
-16, 2, 1576
Solve h**2 - 1055534*h + 278538006289 = 0.
527767
Factor 4*n**3 + 1972*n**2 - 24196*n + 22220.
4*(n - 11)*(n - 1)*(n + 505)
Factor f**2/2 + 16413*f + 229684.
(f + 14)*(f + 32812)/2
Find m such that -m**3/3 - 46*m**2 - 1637*m/3 - 500 = 0.
-125, -12, -1
Suppose 2*z**2/5 + 34278*z/5 + 102816/5 = 0. What is z?
-17136, -3
Solve 28*z**4 - 8504*z**3 + 55948*z**2 - 33216*z - 14256 = 0 for z.
-2/7, 1, 6, 297
Factor o**2/7 - 9236*o/7 + 21325924/7.
(o - 4618)**2/7
Factor -h**3/2 + 329*h**2/2 - 17423*h/2 + 17095/2.
-(h - 263)*(h - 65)*(h - 1)/2
Find n, given that 2*n**3/9 + 736*n**2/9 + 2902*n/9 - 3640/9 = 0.
-364, -5, 1
Let 25*u**5 - 190*u**4 + 360*u**3 = 0. Calculate u.
0, 18/5, 4
Suppose 3*r**4 - 26274*r**3 - 9*r**2 + 78828*r - 52548 = 0. Calculate r.
-2, 1, 8758
Factor -n**3 + 505*n**2 - 504*n.
-n*(n - 504)*(n - 1)
Determine c, given that 1225*c**5 + 52710*c**4 + 718895*c**3 + 3082930*c**2 + 1339200*c - 1076320 = 0.
-124/7, -7, -1, 2/5
Find h, given that -h**4/2 - 395*h**3/2 - 34067*h**2/2 + 1004663*h/2 = 0.
-209, 0, 23
Determine q so that -10*q**5 - 105*q**4 - 145*q**3 + 645*q**2 - 385*q = 0.
-7, -11/2, 0, 1
Factor 2*o**2/7 - 27690*o/7 - 55388/7.
2*(o - 13847)*(o + 2)/7
Determine r, given that -25*r**3 - 104120*r**2 + 124975*r - 20830 = 0.
-4166, 1/5, 1
Solve 12*r**2/5 + 332284*r + 1107608/5 = 0 for r.
-138451, -2/3
Factor 4*w**3/7 - 80328*w**2/7 + 80324*w/7.
4*w*(w - 20081)*(w - 1)/7
Let -m**4/2 - 87*m**3 = 0. What is m?
-174, 0
Solve -8*a**3 - 47*a**2 + 415*a - 396 = 0.
-11, 9/8, 4
Suppose 4*x**5/7 - 94*x**4 + 6892*x**3/7 + 22422*x**2/7 - 1836*x = 0. What is x?
-3, 0, 1/2, 14, 153
Factor 3*n**2 - 604878*n + 30489782907.
3*(n - 100813)**2
Let -2*u**4/3 + 16*u**3 + 1794*u**2 + 74060*u/3 = 0. What is u?
-23, 0, 70
Determine n so that 2*n**5/3 - 146*n**4/3 + 274*n**3 - 1214*n**2/3 + 536*n/3 = 0.
0, 1, 4, 67
Factor 2*b**3/7 - 6068*b**2/7 - 24298*b/7 - 2604.
2*(b - 3038)*(b + 1)*(b + 3)/7
Suppose 5*f**5 - 125*f**4 - 415*f**3 - 155*f**2 + 410*f + 280 = 0. What is f?
-2, -1, 1, 28
Factor 5*t**4 - 135*t**3 + 580*t**2 - 660*t.
5*t*(t - 22)*(t - 3)*(t - 2)
Solve -2*o**2/11 - 69128*o/11 - 597335048/11 = 0 for o.
-17282
Determine j so that 2*j**2/7 - 1238968*j/7 + 191880213128/7 = 0.
309742
Factor -2*k**2 + 672*k + 54944.
-2*(k - 404)*(k + 68)
Solve -2*f**4 + 598*f**3 - 44998*f**2 + 44402*f = 0.
0, 1, 149
Suppose -85*v**4 + 2960*v**3 - 2365*v**2 - 510*v = 0. Calculate v.
-3/17, 0, 1, 34
Factor -u**2/5 + 1952*u/5 + 1953/5.
-(u - 1953)*(u + 1)/5
What is y in 4*y**3 - 1224*y**2 - 68700*y - 890000 = 0?
-25, 356
Factor -c**2 + 241450*c.
-c*(c - 241450)
Factor k**2/6 + 242290*k + 88056666150.
(k + 726870)**2/6
Factor w**2/5 - 1267*w.
w*(w - 6335)/5
Let -k**2 - 1683*k/4 - 1675/2 = 0. Calculate k.
-1675/4, -2
Suppose 3*f**4 - 369*f**3 + 9306*f**2 + 79320*f + 144000 = 0. What is f?
-4, -3, 50, 80
Find t such that t**2/3 - 34979*t + 104936/3 = 0.
1, 104936
Determine o so that o**2 - 224*o - 6225 = 0.
-25, 249
Suppose w**5 - 29*w**4 + 99*w**3 + 41*w**2 - 412*w + 300 = 0. Calculate w.
-2, 1, 2, 3, 25
Solve 27*k**3 + 581832*k**2 - 387897*k + 64650 = 0 for k.
-21550, 1/3
Factor -5*n**3 - 9205*n**2 + 36885*n - 27675.
-5*(n - 3)*(n - 1)*(n + 1845)
Factor -3*v**4/7 + 142788*v**3/7 + 285585*v**2/7 + 142794*v/7.
-3*v*(v - 47598)*(v + 1)**2/7
Determine h, given that 2*h**3/17 + 1570*h**2/17 + 319550*h/17 + 4446750/17 = 0.
-385, -15
Let -4*m**2 + 106184*m - 212352 = 0. What is m?
2, 26544
Let 4*z**4 + 700*z**3 + 3400*z**2 = 0. What is z?
-170, -5, 0
Factor -2*n**2 - 290*n + 6972.
-2*(n - 21)*(n + 166)
Factor 4*y**2 + 671224*y + 28158853636.
4*(y + 83903)**2
Factor 2*h**3 - 1294*h**2 + 221056*h - 3746648.
2*(h - 314)**2*(h - 19)
Factor -j**4/3 + 3*j**3 + 40*j**2/3 - 16*j.
-j*(j - 12)*(j - 1)*(j + 4)/3
Let y**3 - 246336*y**2 + 492669*y - 246334 = 0. Calculate y.
1, 246334
Factor 4*q**2/3 + 5360*q/3 + 345072.
4*(q + 234)*(q + 1106)/3
Factor 4*x**2 - 76*x - 16280.
4*(x - 74)*(x + 55)
Factor -4*k**2/7 + 606912*k/7 - 23021385984/7.
-4*(k - 75864)**2/7
Factor -3*n**2/7 + 111288*n/7 - 2002212/7.
-3*(n - 37078)*(n - 18)/7
What is x in 8*x**5 - 132*x**4 - 376*x**3 - 84*x**2 + 152*x = 0?
-2, -1, 0, 1/2, 19
Let 2*c**5/3 - 452*c**4/3 + 27694*c**3/3 - 243244*c**2/3 + 180864*c - 108864 = 0. What is c?
1, 2, 7, 108
Solve -54*f**2 - 139665*f + 69846 = 0 for f.
-23282/9, 1/2
Determine z so that -2*z**2/3 - 1598*z/3 - 27280 = 0.
-744, -55
What is q in 3*q**5 - 1095*q**4 + 104304*q**3 - 728124*q**2 - 11115744*q - 25854144 = 0?
-4, 17, 178
Suppose -14*w**5/3 - 3564*w**4 - 7598*w**3/3 + 8136*w**2 - 6104*w/3 = 0. Calculate w.
-763, -2, 0, 2/7, 1
Suppose 93*p**3/2 + 141*p**2 - 1665*p/2 - 27 = 0. What is p?
-6, -1/31, 3
Factor -u**2 - 1178*u + 2360.
-(u - 2)*(u + 1180)
Find n, given that -n**3/5 - 29*n**2/5 + 63376*n/5 - 5567296/5 = 0.
-301, 136
Find o such that o**3/6 + 4061*o**2/3 - 16250*o/3 + 16252/3 = 0.
-8126, 2
Factor -2*j**2/9 + 28156*j/3 - 168928/9.
-2*(j - 42232)*(j - 2)/9
Suppose 256*r**2/13 - 31230*r/13 - 244/13 = 0. What is r?
-1/128, 122
Let -5*c**2 - 28635*c - 28630 = 0. What is c?
-5726, -1
Factor o**2/6 - 94741*o + 26927571243/2.
(o - 284223)**2/6
Determine j so that j**5 - 28*j**4 + 74*j**3 + 