k + 8)
Determine x, given that -5*x**3 - 1164*x**2 - 6849*x - 10206 = 0.
-1134/5, -3
Find o, given that 2*o**5 - 17*o**4 - 981*o**3 - 3455*o**2 + 9911*o - 5460 = 0.
-15, -13/2, 1, 28
Factor h**3/9 - 14656*h**2/3 + 161303740*h/3 - 13515065200/9.
(h - 21970)**2*(h - 28)/9
Factor -5*b**2 + 1870*b + 108375.
-5*(b - 425)*(b + 51)
Determine h, given that 12*h**5 - 62*h**4 - 504*h**3 - 730*h**2 - 300*h = 0.
-3, -1, -5/6, 0, 10
Solve -207*y**2/2 + 5073*y - 147/2 = 0.
1/69, 49
Factor 4*n**3 - 384*n**2 - 16*n + 1536.
4*(n - 96)*(n - 2)*(n + 2)
Find z such that 2*z**3/3 - 460510*z**2/3 + 921014*z/3 - 153502 = 0.
1, 230253
Suppose 14*i**4/5 + 304*i**3/5 - 98*i**2/5 - 44*i = 0. Calculate i.
-22, -5/7, 0, 1
Let -2*c**4/7 + 18798*c**3/7 - 4706790*c**2/7 + 56802950*c - 11231118000/7 = 0. Calculate c.
85, 9144
Let -o**2 - 10153*o + 91458 = 0. Calculate o.
-10162, 9
Factor 4*m**4/7 + 48192*m**3/7 + 144816568*m**2/7 - 290645952*m + 1018442908.
4*(m - 7)**2*(m + 6031)**2/7
Factor d**2/12 + 116093*d/4 + 348277/6.
(d + 2)*(d + 348277)/12
Factor 9*i**4/4 + 139695*i**3/4 + 361375443*i**2/2 + 311585934933*i - 103882056018.
3*(i + 5174)**3*(3*i - 1)/4
Factor -3*j**3/4 + 183*j**2/4 + 375*j/4 + 189/4.
-3*(j - 63)*(j + 1)**2/4
Let 2*h**5/11 + 12894*h**4/11 + 20916586*h**3/11 + 433298754*h**2/11 - 41293476*h = 0. Calculate h.
-3213, -22, 0, 1
Find s such that 4*s**4 - 124*s**3 - 2652*s**2 - 5940*s + 44712 = 0.
-9, 3, 46
Find u, given that -2*u**5/3 - 31*u**4/3 + 2*u**3/3 + 271*u**2/3 + 76*u - 60 = 0.
-15, -2, 1/2, 3
Factor 35*i**2 + 64110*i - 18320.
5*(i + 1832)*(7*i - 2)
What is a in 3*a**5 + 78*a**4 - 822*a**3 - 4308*a**2 - 1485*a + 6534 = 0?
-33, -3, -2, 1, 11
Factor -c**2 + 1991*c + 1992.
-(c - 1992)*(c + 1)
Solve t**5 + 118*t**4 + 2875*t**3 + 20830*t**2 + 12784*t - 36608 = 0 for t.
-88, -16, -13, -2, 1
Factor 3*r**2/2 + 93822*r.
3*r*(r + 62548)/2
Solve -25*l**4/4 - 23585*l**3/2 - 22268949*l**2/4 - 4448131*l - 889249 = 0 for l.
-943, -2/5
Determine y so that -2*y**2 - 6694*y - 6692 = 0.
-3346, -1
Factor w**3/4 + 5185*w**2/4 - 198113*w/4 + 1885503/4.
(w - 19)**2*(w + 5223)/4
Factor -2*a**3 + 24*a**2 - 88*a + 96.
-2*(a - 6)*(a - 4)*(a - 2)
Find k such that -2*k**4/3 - 2252*k**3 + 6760*k**2/3 + 2252*k - 6758/3 = 0.
-3379, -1, 1
Determine v so that -2*v**2 + 1040*v - 3102 = 0.
3, 517
Find y, given that 3*y**3 + 3687*y**2 + 246864*y + 243180 = 0.
-1158, -70, -1
Find s, given that 25*s**4 - 1265*s**3 + 6990*s**2 + 11800*s + 3520 = 0.
-1, -2/5, 8, 44
Suppose 27*o**4 - 2379*o**3 - 12888*o**2 + 57396*o - 44640 = 0. What is o?
-8, 10/9, 2, 93
Suppose 6*y**5 - 417*y**4 - 2130*y**3 + 9633*y**2 + 10368*y - 27972 = 0. Calculate y.
-7, -2, 3/2, 3, 74
Factor -2*w**3 - 3646*w**2 - 1659840*w + 1663488.
-2*(w - 1)*(w + 912)**2
Factor 105*v**4/2 - 20061*v**3 + 2292*v**2.
3*v**2*(v - 382)*(35*v - 4)/2
Factor 3*n**3 - 486*n**2 + 19845*n - 55242.
3*(n - 93)*(n - 66)*(n - 3)
What is b in 9490*b**2/7 - 2596*b - 150/7 = 0?
-3/365, 25/13
Let -2*q**2/7 - 456*q/7 + 5238 = 0. Calculate q.
-291, 63
Let -n**4 + 32*n**3 + 27*n**2 - 810*n - 1728 = 0. What is n?
-3, 6, 32
Factor c**3 + 781*c**2 + 137904*c - 5826240.
(c - 35)*(c + 408)**2
Solve g**2 + 1446*g - 5800 = 0 for g.
-1450, 4
Factor -2*g**2/25 + 140824*g - 61973121800.
-2*(g - 880150)**2/25
Factor q**3/8 - 533*q**2/8 + 2515*q - 24650.
(q - 493)*(q - 20)**2/8
Factor -3*g**2/4 - 233937*g/8 - 116967/8.
-3*(g + 38989)*(2*g + 1)/8
Let 22201*q**4/2 - 201001*q**3/4 + 205181*q**2/4 - 1350*q + 9 = 0. Calculate q.
2/149, 3/2, 3
Factor 5*z**4 + 3490*z**3 - 3505*z**2 - 6990*z.
5*z*(z - 2)*(z + 1)*(z + 699)
Factor -u**2/6 + 87383*u/6 + 14564.
-(u - 87384)*(u + 1)/6
Factor -10*t**2/9 - 22928*t/9 + 4586/9.
-2*(t + 2293)*(5*t - 1)/9
Let -11055*c**2/4 - 33155*c/4 + 15/2 = 0. What is c?
-3, 2/2211
Suppose -4*t**2 + 26124*t + 445264 = 0. What is t?
-17, 6548
Factor -3*o**3/7 + 1098*o**2/7 - 71955*o/7 + 1314144/7.
-3*(o - 288)*(o - 39)**2/7
Factor 2*v**2 + 1098*v - 3312.
2*(v - 3)*(v + 552)
Let 5*r**4 + 4355*r**3 + 118155*r**2 + 113805*r = 0. Calculate r.
-843, -27, -1, 0
Factor c**2/2 + 1579*c/2 - 13566.
(c - 17)*(c + 1596)/2
Solve -2*d**2 - 358*d + 13992 = 0.
-212, 33
Suppose x**5/9 - 42*x**4 - 3107*x**3/9 + 816*x**2 - 3860*x/9 = 0. What is x?
-10, 0, 1, 386
Let 2*b**3/5 - 5458*b**2/5 - 1092*b = 0. What is b?
-1, 0, 2730
Factor -5*j**2 + 45285*j - 361960.
-5*(j - 9049)*(j - 8)
Factor -81*m**2 - 8349*m - 618.
-3*(m + 103)*(27*m + 2)
Suppose 2*n**2 - 802*n + 7820 = 0. What is n?
10, 391
Factor 26788614*d**4 + 267869236*d**3 + 2008638938*d**2/3 - 1267720*d/3 + 200/3.
2*(d + 5)**2*(6339*d - 2)**2/3
Factor j**4/8 + 31*j**3/8 + 95*j**2/8 - 2527*j/8.
j*(j - 7)*(j + 19)**2/8
Let c**5/5 - 59*c**4 + 21606*c**3/5 + 22496*c**2/5 - 43808*c/5 = 0. Calculate c.
-2, 0, 1, 148
Find l such that -l**2/2 + 34952*l - 69903/2 = 0.
1, 69903
Suppose 2*c**5/9 - 12*c**4 + 356*c**3/9 + 736*c**2/3 - 358*c/9 - 700/3 = 0. Calculate c.
-3, -1, 1, 7, 50
Factor 79*y**2 - 49692*y + 629.
(y - 629)*(79*y - 1)
Let 2*v**3/11 + 5482*v**2/11 + 21904*v/11 + 21896/11 = 0. Calculate v.
-2737, -2
Determine v so that -v**2/2 + 2645*v/2 + 3972 = 0.
-3, 2648
Factor -4*v**3 + 11168*v**2 - 7705152*v - 126157824.
-4*(v - 1404)**2*(v + 16)
Factor -8*c**2 + 799*c/2 + 25.
-(c - 50)*(16*c + 1)/2
Determine w, given that -3*w**4/7 - 66*w**3/7 - 201*w**2/7 + 270*w/7 = 0.
-18, -5, 0, 1
Factor -4*g**2/9 + 5732*g/9 + 11512/3.
-4*(g - 1439)*(g + 6)/9
Factor 135*p**2 + 7557*p - 168.
3*(p + 56)*(45*p - 1)
Factor -a**2/4 + 91335*a/2 - 8342082225/4.
-(a - 91335)**2/4
Factor -3*g**4 - 81*g**3 - 450*g**2 - 600*g.
-3*g*(g + 2)*(g + 5)*(g + 20)
Solve -2*b**3/7 + 31172*b**2/7 - 121430520*b/7 - 242985744/7 = 0.
-2, 7794
Let -8*z**5 - 26*z**4 + 882*z**3 - 1994*z**2 - 3674*z - 780 = 0. What is z?
-13, -1, -1/4, 5, 6
Solve -2*q**3 + 1216*q**2 + 3666*q = 0 for q.
-3, 0, 611
Determine r, given that 100*r**5/3 + 41540*r**4 + 33970556*r**3/3 - 3110631388*r**2/3 + 824055776*r - 493343216/3 = 0.
-659, 2/5, 71
Determine r, given that -r**2/11 - 79107*r/11 - 237312/11 = 0.
-79104, -3
Let 5*p**4 + 1055*p**3 - 109060*p**2 = 0. What is p?
-287, 0, 76
Factor -d**3/4 - 68929*d**2/2 - 4751207041*d/4.
-d*(d + 68929)**2/4
Let -2*d**3/5 - 12*d**2/5 + 858*d/5 + 1748/5 = 0. Calculate d.
-23, -2, 19
Factor 2*p**3 + 22726*p**2 - 2*p - 22726.
2*(p - 1)*(p + 1)*(p + 11363)
Let -39*t**5 - 41997*t**4 + 132705*t**3 - 145743*t**2 + 61554*t - 6480 = 0. What is t?
-1080, 2/13, 1
Suppose 2*m**2/9 + 308*m - 36374/9 = 0. What is m?
-1399, 13
Find z such that 3*z**4 + 21*z**3 - 3*z**2 - 21*z = 0.
-7, -1, 0, 1
Let -x**5/7 + 438*x**4/7 - 37069*x**3/7 + 135684*x**2 - 481180*x + 460992 = 0. Calculate x.
2, 49, 336
Factor -2*m**2/5 + 32*m - 550.
-2*(m - 55)*(m - 25)/5
Determine x, given that 3*x**3 - 2763*x**2 - 11115*x + 13875 = 0.
-5, 1, 925
Determine n so that -3*n**2/7 + 55800*n/7 = 0.
0, 18600
Let 6*s**5 + 376*s**4 + 1646*s**3 + 1244*s**2 - 1880*s - 1392 = 0. What is s?
-58, -3, -2, -2/3, 1
Factor -3*p**2 - 62739*p.
-3*p*(p + 20913)
Find d, given that 5*d**3 + 1930*d**2 + 35255*d + 143130 = 0.
-367, -13, -6
Factor -5*k**2 - 110765*k.
-5*k*(k + 22153)
Suppose i**2/2 - 1357*i - 2715/2 = 0. Calculate i.
-1, 2715
Determine g, given that -2*g**3/3 - 288*g**2 - 30814*g + 188356/3 = 0.
-217, 2
Factor t**3 + 6279*t**2 + 9853320*t - 9859600.
(t - 1)*(t + 3140)**2
Find s such that -4*s**4 - 148*s**3 - 624*s**2 + 592*s + 2560 = 0.
-32, -5, -2, 2
Factor -3*o**3 + 432*o**2 - 2103*o + 2502.
-3*(o - 139)*(o - 3)*(o - 2)
Factor -4*t**2 - 302576*t - 5722014736.
-4*(t + 37822)**2
Suppose 4*z**4 - 74*z**3 + 326*z**2/9 - 4*z = 0. What is z?
0, 1/6, 1/3, 18
Find o such that 4*o**3 - 1500*o**2 + 182700*o - 7276500 = 0.
105, 165
Let v**5/2 + 11*v**4/2 - 153*v**3/2 - 11*v**2/2 + 76*v = 0. What is v?
-19, -1, 0, 1, 8
Factor 2*c**3/5 + 13939*c**2/5 + 4181*c + 6968/5.
(c + 1)*(c + 6968)*(2*c + 1)/5
Find b, given that 6*b**3/17 + 80380*b**2/17 + 374966*b/17 - 133920/17 = 0.
-13392, -5, 1/3
Solve p**2/7 - 129265*p/7 + 258526/7 = 0 for p.
2, 129263
Factor 2*b**2/11 - 8332*b/11 + 16656/11.
2*(b - 4164)*(b - 2)/11
Find g, given that -g**2/4 + 333513*g - 111230921169 = 0.
667026
Factor -4*j**4 + 4920*j**3 - 1249092*j**2 - 168794496*j.
-4*j*(j - 663)**2*(j + 96)
Find z such that 9*z**5 + 274*z**4