*c**4/7 - 6*c**3/7 - 4464*c**2/7 - 2958*c/7 + 12/7 = 0.
-1, 1/248, 2
Find u such that 55*u**3/6 + 635*u**2/3 + 790*u - 900 = 0.
-18, -6, 10/11
Factor -4*r**2 + 936*r + 19228.
-4*(r - 253)*(r + 19)
Factor -236*q**3/5 + 330*q**2 + 14*q/5.
-2*q*(q - 7)*(118*q + 1)/5
Suppose -z**4 + 774*z**3 + 1553*z**2 - 774*z - 1552 = 0. What is z?
-2, -1, 1, 776
Solve -26*k**3 - 4804*k**2 - 84690*k + 19800 = 0 for k.
-165, -20, 3/13
Factor y**2/2 + 6157*y + 37908649/2.
(y + 6157)**2/2
Find t such that -3*t**2/7 - 825*t/7 = 0.
-275, 0
Factor 2*a**2/15 - 246*a/5 - 80432/15.
2*(a - 457)*(a + 88)/15
Factor 2*v**4/3 + 32*v**3/3 + 98*v**2/3 - 44*v.
2*v*(v - 1)*(v + 6)*(v + 11)/3
Factor 4*i**3 - 4569*i**2 + 19350*i - 4552.
(i - 1138)*(i - 4)*(4*i - 1)
Factor 4*m**2 + 1696*m + 61440.
4*(m + 40)*(m + 384)
Suppose 6723649*r**3 + 6785881*r**2 + 62376*r + 144 = 0. What is r?
-1, -12/2593
Find f such that 2*f**5 + 872*f**4 - 19268*f**3 - 30248*f**2 + 1635090*f + 1645200 = 0.
-457, -8, -1, 15
Solve -30*y**2 - 116765*y - 19460 = 0.
-3892, -1/6
Factor 3*g**2 - 294*g + 7203.
3*(g - 49)**2
Find g such that 1899*g**2 - 669*g + 12 = 0.
4/211, 1/3
Determine d so that 3*d**5 - 138*d**4 + 261*d**3 + 138*d**2 - 264*d = 0.
-1, 0, 1, 2, 44
Factor -2*q**3/5 + 14*q**2/5 + 2*q/5 - 14/5.
-2*(q - 7)*(q - 1)*(q + 1)/5
Factor h**4/3 + 509*h**3/3 + 29684*h**2 + 5782640*h/3 + 74986048/3.
(h + 17)*(h + 164)**3/3
Determine f, given that f**5/2 - 277*f**4/2 + 549*f**3/2 + 277*f**2/2 - 275*f = 0.
-1, 0, 1, 2, 275
Factor -3*t**3 - 168348*t**2 - 2361922431*t - 4723171494.
-3*(t + 2)*(t + 28057)**2
Factor 4*q**2 + 928*q - 61776.
4*(q - 54)*(q + 286)
Suppose -a**5 - 288*a**4 - 20008*a**3 - 76608*a**2 - 75472*a = 0. What is a?
-178, -106, -2, 0
Factor 3*t**4/4 - 3*t**3 - 81*t**2/4 - 57*t/2 - 12.
3*(t - 8)*(t + 1)**2*(t + 2)/4
Factor -2*u**2/5 + 18*u + 204428/5.
-2*(u - 343)*(u + 298)/5
Factor -10*u**4 - 2416*u**3 + 968*u**2.
-2*u**2*(u + 242)*(5*u - 2)
Factor -c**3 - 73*c**2 - 142*c.
-c*(c + 2)*(c + 71)
Factor -g**4/3 + 305029*g**3/3 + 305031*g**2 + 915095*g/3 + 305032/3.
-(g - 305032)*(g + 1)**3/3
Let -27*c**4/5 + 13236*c**3 - 40258092*c**2/5 - 72524736*c - 58095360 = 0. Calculate c.
-8, -8/9, 1230
Suppose -12*v**5 - 64*v**4 + 252*v**3 + 800*v**2 + 48*v - 448 = 0. Calculate v.
-7, -2, -1, 2/3, 4
Factor -c**2/4 - 38565*c/2 - 231381/4.
-(c + 3)*(c + 77127)/4
Factor 2*g**2/9 - 1625920*g/3 + 330451980800.
2*(g - 1219440)**2/9
Let b**3/2 + 47*b**2/2 + 228*b + 630 = 0. Calculate b.
-35, -6
Find u, given that -3*u**5 + 231*u**4 - 2934*u**3 - 14604*u**2 - 15576*u = 0.
-2, 0, 22, 59
Determine b, given that -5*b**3 + 1215*b**2 - 10620*b + 21060 = 0.
3, 6, 234
Let -4*m**3 + 8012*m**2 - 3926560*m - 86028096 = 0. Calculate m.
-21, 1012
Let y**5/6 - 142*y**4/3 + 3485*y**3 - 47060*y**2/3 - 1482991*y/6 - 502346 = 0. What is y?
-4, -3, 13, 139
Solve l**5/3 - 26*l**4/3 + 54*l**3 - 108*l**2 - 9*l + 162 = 0 for l.
-1, 3, 18
Factor k**3 - 323*k**2 + 25920*k + 26244.
(k - 162)**2*(k + 1)
Factor 4*m**2 - 4616*m - 4620.
4*(m - 1155)*(m + 1)
Find k such that -k**2/2 + 79*k/2 + 7605 = 0.
-90, 169
Determine t, given that -2*t**4/7 + 394*t**3/7 - 17902*t**2/7 - 36994*t/7 - 18696/7 = 0.
-1, 76, 123
Factor -2500*s**3 + 16650*s**2 - 31416*s + 11858.
-2*(2*s - 1)*(25*s - 77)**2
Factor 361201*g**2 + 24040*g + 400.
(601*g + 20)**2
Factor 2*p**2/15 + 7208*p/5 + 21622/15.
2*(p + 1)*(p + 10811)/15
Determine t so that -t**3/3 + 133*t**2 - 15088*t + 1049536/3 = 0.
31, 184
Let -5*l**4 - 320*l**3 - 4065*l**2 + 9450*l = 0. Calculate l.
-45, -21, 0, 2
Find y such that -2*y**5 - 794*y**4 - 105408*y**3 - 4854824*y**2 - 22127360*y - 17377152 = 0.
-156, -118, -4, -1
What is p in p**4/2 + 3407*p**3/6 - 4549*p**2/6 - 1135*p/6 + 379 = 0?
-1137, -2/3, 1
Let 90*x**5 - 4034*x**4 - 13742*x**3 + 498*x**2 + 8388*x - 1728 = 0. What is x?
-3, -1, 2/9, 3/5, 48
Let -3*r**2 - 14190*r + 42597 = 0. What is r?
-4733, 3
Factor 3*s**3 - 103*s**2 - 292*s - 148.
(s - 37)*(s + 2)*(3*s + 2)
Find a such that 5*a**4 - 95*a**3 - 5725*a**2 - 56745*a - 121680 = 0.
-13, -3, 48
Factor r**4/10 - 419*r**3/2 - 25332*r**2/5 - 203168*r/5 - 542464/5.
(r - 2119)*(r + 8)**3/10
Solve q**4/3 - 1325*q**3 + 15884*q**2/3 = 0 for q.
0, 4, 3971
Suppose 2*a**3/5 + 5626*a**2/5 + 796336*a + 35380872/5 = 0. What is a?
-1402, -9
Determine p so that -3*p**4 - 498*p**3 - 20463*p**2 - 320568*p - 1728468 = 0.
-114, -19, -14
Factor 4*d**2 + 36*d - 2944.
4*(d - 23)*(d + 32)
Factor -4*c**3 + 736*c**2 + 64*c - 11776.
-4*(c - 184)*(c - 4)*(c + 4)
Factor -5*y**2 + 1745*y + 192280.
-5*(y - 437)*(y + 88)
Find v such that 30*v**5 + 513*v**4 - 39*v**3 - 1479*v**2 + 873*v + 102 = 0.
-17, -2, -1/10, 1
Factor -t**3 + 16*t**2 - 33*t - 270.
-(t - 10)*(t - 9)*(t + 3)
Determine q so that -q**4/3 - 229*q**3/3 - 446*q**2 = 0.
-223, -6, 0
Factor -1356*h**2 + 776984*h + 2292.
-4*(h - 573)*(339*h + 1)
Suppose j**4 + 285*j**3 - 1464*j**2 - 4060*j = 0. Calculate j.
-290, -2, 0, 7
Factor -f**3/5 - 773*f**2/5 - 24452*f/5 - 4736.
-(f + 1)*(f + 32)*(f + 740)/5
Let -s**4 + 7289*s**3 + 4*s**2 - 29156*s = 0. Calculate s.
-2, 0, 2, 7289
Let -5*j**2/6 - 85*j + 96515/6 = 0. Calculate j.
-199, 97
Determine k so that 4*k**2 - 7364*k - 22128 = 0.
-3, 1844
Factor -2*k**4 - 216*k**3 - 838*k**2 - 624*k.
-2*k*(k + 1)*(k + 3)*(k + 104)
Factor 5*g**3 - 915*g**2 + 10420*g - 27360.
5*(g - 171)*(g - 8)*(g - 4)
Suppose 3*t**4/5 + 111*t**3/5 + 606*t**2/5 - 144*t = 0. What is t?
-30, -8, 0, 1
Find n such that 2*n**4 + 148*n**3 + 2976*n**2 + 17100*n + 28350 = 0.
-45, -21, -5, -3
Factor 2*x**2 + 125272*x + 125270.
2*(x + 1)*(x + 62635)
Factor z**3/3 - 61*z**2 + 3672*z - 72900.
(z - 75)*(z - 54)**2/3
Factor y**3/3 - 2024*y**2 - 8100*y - 24304/3.
(y - 6076)*(y + 2)**2/3
Factor 5*x**3 + 115*x**2 - 5770*x + 11040.
5*(x - 23)*(x - 2)*(x + 48)
Determine f so that -1036*f**3 + 9824*f**2 - 26864*f + 22720 = 0.
2, 1420/259
Let t**4/2 - 713*t**3 + 15565*t**2/2 = 0. Calculate t.
0, 11, 1415
What is y in -2*y**2/3 + 3130*y + 18788/3 = 0?
-2, 4697
Determine j, given that j**3/6 - 979*j**2/6 - 819*j - 984 = 0.
-3, -2, 984
Find p, given that -p**3 - 25*p**2 + 508*p + 532 = 0.
-38, -1, 14
Factor 3*g**4 + 267*g**3 + 7794*g**2 + 71904*g - 79968.
3*(g - 1)*(g + 28)**2*(g + 34)
Find m, given that 945*m**5 + 8500*m**4 + 28305*m**3 + 41430*m**2 + 22460*m - 120 = 0.
-3, -2, 1/189
Suppose 5*d**4 - 10215*d**3 + 10205*d**2 + 10215*d - 10210 = 0. What is d?
-1, 1, 2042
Find r, given that -2*r**3/9 + 5126*r**2 - 88550224*r/3 - 4529403976/9 = 0.
-17, 11542
Factor 4*f**4/7 - 104*f**3/7 - 48*f**2 - 344*f/7 - 116/7.
4*(f - 29)*(f + 1)**3/7
Factor -3*d**2/7 + 8499*d - 59490/7.
-3*(d - 19830)*(d - 1)/7
Factor 2*y**4/5 - 496*y**3/5 + 37664*y**2/5 - 857088*y/5 + 5971968/5.
2*(y - 108)**2*(y - 16)**2/5
Factor 2*n**2/9 - 2978*n/9 - 17068/3.
2*(n - 1506)*(n + 17)/9
Factor 3*r**5/7 + 366*r**4/7 - 1500*r**3/7 + 216*r**2.
3*r**2*(r - 2)**2*(r + 126)/7
Suppose 3*i**4/5 + 288*i**3/5 + 2139*i**2/5 + 2322*i/5 - 4752/5 = 0. What is i?
-88, -6, -3, 1
Determine p, given that -p**4/7 + 818*p**3/7 - 347*p**2 - 13028*p/7 - 9780/7 = 0.
-2, -1, 6, 815
Let -6*s**5 - 832*s**4 + 342*s**3 + 8984*s**2 + 12264*s + 4448 = 0. Calculate s.
-139, -2, -1, -2/3, 4
Factor 2*v**2/9 - 272*v/9 + 990.
2*(v - 81)*(v - 55)/9
Factor p**4/3 + 46*p**3/3 + 376*p**2/3 + 192*p.
p*(p + 2)*(p + 8)*(p + 36)/3
Solve 4*r**5 - 5048*r**4 + 1419320*r**3 + 111866912*r**2 + 219455652*r + 109013112 = 0.
-62, -1, 663
Factor -4*w**3 - 1332*w**2 + 2680*w.
-4*w*(w - 2)*(w + 335)
Factor -c**3 - 202*c**2 - 2921*c + 838708.
-(c - 52)*(c + 127)**2
Factor 5*k**3/3 + 1350*k**2 + 26500*k + 395000/3.
5*(k + 10)**2*(k + 790)/3
Factor k**3/4 + 457*k**2/4 - 1876*k + 7568.
(k - 8)**2*(k + 473)/4
Find k, given that 613*k**3 + 3063*k**2 - 14722*k + 48 = 0.
-8, 2/613, 3
Factor 5*f**3 + 220*f**2 - 4725*f + 4500.
5*(f - 15)*(f - 1)*(f + 60)
Suppose -3*u**5/8 + 217*u**4/8 - 5167*u**3/8 + 39307*u**2/8 + 14283*u/4 = 0. Calculate u.
-2/3, 0, 23, 27
Factor -3*k**3/2 - 4839*k**2/2 - 4833*k.
-3*k*(k + 2)*(k + 1611)/2
Suppose 15*k**3/4 + 3759*k**2/4 + 12021*k/2 - 6954 = 0. Calculate k.
-244, -38/5, 1
Find k such that -3*k**4/4 - 63*k**3 - 2367*k**2/4 + 1569*k/2 + 1314 = 0.
-73, -12, -1, 2
Find m, given that 185*m**5/2 - 1290*m**4 + 1040*m**3 + 1355*m**2 - 2265*m/2