- 202*v**2 + 9525*v = 0. What is v?
-1, 0, 1, 75, 127
Solve -3*a**2/4 + 167091*a/4 - 41772 = 0 for a.
1, 55696
Find u, given that u**4/3 + u**3 + u**2/3 - u - 2/3 = 0.
-2, -1, 1
Determine s, given that 3*s**3 - 114*s**2/7 - 2244*s/7 - 552 = 0.
-46/7, -2, 14
What is i in 5*i**3 + 4265*i**2 + 872175*i - 16084125 = 0?
-435, 17
Determine y so that -27*y**4 + 414*y**3 - 1443*y**2 - 1104*y - 192 = 0.
-1/3, 8
Determine f, given that 2*f**3/9 - 42476*f**2/9 = 0.
0, 21238
Determine m so that 3*m**2 + 47823*m = 0.
-15941, 0
Factor -5*w**2 - 74930*w - 374525.
-5*(w + 5)*(w + 14981)
Let 185*d**5/8 + 41*d**4/8 - 1363*d**3/4 + 1123*d**2/2 - 171*d = 0. What is d?
-171/37, 0, 2/5, 2
Suppose 4*h**2 + 544208*h + 544204 = 0. Calculate h.
-136051, -1
Find x such that 5*x**5 - 82195*x**4 + 337759795*x**3 + 337924195*x**2 - 337759800*x - 337842000 = 0.
-1, 1, 8220
Find y, given that 3*y**3/5 + 438*y**2/5 + 3699*y/5 = 0.
-137, -9, 0
Factor -g**3/4 + 12*g**2 + 279*g/4 - 371/2.
-(g - 53)*(g - 2)*(g + 7)/4
Determine i, given that i**3/11 - 63874*i**2/11 + 1019908092*i/11 + 2040071688/11 = 0.
-2, 31938
Factor v**3 - 881*v**2 + 9588*v - 15660.
(v - 870)*(v - 9)*(v - 2)
Factor 5*j**3/2 + 3400*j**2 + 786080*j + 50309120.
5*(j + 136)**2*(j + 1088)/2
Factor -y**2/3 - 605*y/3 - 6292.
-(y + 33)*(y + 572)/3
Solve -5*k**2 - 5202750*k - 1353430378125 = 0 for k.
-520275
Factor -w**2/3 + 269926*w/3 - 18215011369/3.
-(w - 134963)**2/3
Solve -36*j**5 + 692*j**4 - 1880*j**3 + 384*j**2 = 0 for j.
0, 2/9, 3, 16
Let 2*v**2/5 - 14988*v/5 + 179568/5 = 0. Calculate v.
12, 7482
Find u, given that -3*u**5 - 90*u**4 - 813*u**3 - 2646*u**2 - 1344*u + 4896 = 0.
-17, -6, -4, 1
Let -20*g**3 + 455955*g**2 + 911970*g + 455995 = 0. Calculate g.
-1, 91199/4
Factor -5*t**2 - 362610*t - 6574300605.
-5*(t + 36261)**2
Solve 2*g**2/3 + 1574024*g/3 + 524674 = 0.
-787011, -1
Solve -2*b**4/13 + 2374*b**3/13 + 45918*b**2/13 - 108414*b/13 - 151956/13 = 0 for b.
-21, -1, 3, 1206
What is r in 178*r**3 + 15133*r**2 - 15053*r - 258 = 0?
-86, -3/178, 1
Let 2*u**5/9 - 60922*u**4/3 - 365540*u**3/9 = 0. Calculate u.
-2, 0, 91385
Factor -5*u**4 + 9355*u**3 + 37500*u**2.
-5*u**2*(u - 1875)*(u + 4)
What is y in 2*y**3 + 432168*y**2 + 23345715354*y - 46693159396 = 0?
-108043, 2
Determine s, given that -5*s**3 - 56720*s**2 + 113455*s - 56730 = 0.
-11346, 1
Solve -3*b**2 + 23106*b - 299871 = 0 for b.
13, 7689
Suppose 125*o**5/3 - 1165725*o**4 - 2098420*o**3/3 + 652816*o**2 + 335744*o/3 - 74608 = 0. What is o?
-1, -2/5, 2/5, 27978
Solve 3*i**2/2 + 783*i/2 - 20130 = 0.
-305, 44
Factor i**4 + 327*i**3 - 4068*i**2.
i**2*(i - 12)*(i + 339)
What is k in 49*k**5 - 7735*k**4/3 - 1014*k**3 + 3938*k**2/3 - 283*k + 53/3 = 0?
-1, 1/7, 1/3, 53
Factor 7*t**3/2 + 39*t**2 + 114*t + 100.
(t + 2)**2*(7*t + 50)/2
Factor 2*a**3/5 - 14*a**2/5 - 116*a/5 + 112.
2*(a - 10)*(a - 4)*(a + 7)/5
Let f**2/2 + 630773*f/2 - 315387 = 0. What is f?
-630774, 1
Factor 8*y**2 - 5668*y - 28540.
4*(y + 5)*(2*y - 1427)
What is d in 2*d**2 + 414*d - 32040 = 0?
-267, 60
Determine t so that -t**2 - 701*t - 1398 = 0.
-699, -2
Factor 3*x**2/2 + 774*x - 14175/2.
3*(x - 9)*(x + 525)/2
Determine t so that 3*t**3/8 + 135*t**2 + 11517*t/8 = 0.
-349, -11, 0
Factor -2*o**2 - 383688*o.
-2*o*(o + 191844)
Suppose -q**3/2 - 29*q**2/4 + 121*q/4 - 45/2 = 0. What is q?
-18, 1, 5/2
Solve 2*d**3/3 - 614*d**2/3 + 54016*d/3 - 1466368/3 = 0.
64, 179
Determine f, given that -f**5/10 + 337*f**4/10 - 671*f**3/10 + 67*f**2/2 = 0.
0, 1, 335
Let -2*b**4 - 406*b**3 + 2*b**2 + 406*b = 0. What is b?
-203, -1, 0, 1
Solve -46*o**2/5 + 438*o - 15444/5 = 0.
198/23, 39
Factor -4*x**3 + 38624*x**2 + 193196*x + 231864.
-4*(x - 9661)*(x + 2)*(x + 3)
Solve -2*a**3/3 + 1624*a**2/9 - 2686*a/9 - 1076/9 = 0 for a.
-1/3, 2, 269
Find k such that -k**2 - 3088*k - 9255 = 0.
-3085, -3
Factor -2*z**2/25 - 2282*z/5 + 11412/25.
-2*(z - 1)*(z + 5706)/25
Factor 8*m**2 + 51251*m + 19218.
(m + 6406)*(8*m + 3)
Suppose r**4/3 + 155*r**3/3 + 4726*r**2/3 + 14268*r + 12744 = 0. What is r?
-118, -18, -1
Suppose n**3/3 - 1157*n**2/3 + 8032*n/3 + 6900 = 0. Calculate n.
-2, 9, 1150
Find i, given that 5*i**3 - 25*i**2 - 220*i - 300 = 0.
-3, -2, 10
Factor -4*h**3 - 184*h**2 + 5412*h - 14472.
-4*(h - 18)*(h - 3)*(h + 67)
Suppose -3*w**4 - 264*w**3 - 1512*w**2 - 2976*w - 1968 = 0. What is w?
-82, -2
Factor z**2/2 + 17736*z + 157282848.
(z + 17736)**2/2
Factor 3*x**2/2 + 47316*x + 94626.
3*(x + 2)*(x + 31542)/2
Determine g, given that 405*g**5 - 4095*g**4 - 50700*g**3 - 117620*g**2 - 88480*g - 14400 = 0.
-5, -4/3, -2/9, 18
Factor u**2/2 + 3190*u + 31850.
(u + 10)*(u + 6370)/2
Factor -4*x**3 - 1701*x**2 - 181896*x - 224720.
-(x + 212)**2*(4*x + 5)
Suppose f**5 - 131*f**4 + 125*f**3 + 647*f**2 + 390*f = 0. What is f?
-1, 0, 3, 130
Factor -3*m**3/7 - 432*m**2/7 + 927*m - 3318.
-3*(m - 7)**2*(m + 158)/7
Find t, given that -3*t**4 - 219*t**3 + 1170*t**2 = 0.
-78, 0, 5
Let -3*s**4/4 - 25875*s**3/4 + 3*s**2 + 25875*s = 0. Calculate s.
-8625, -2, 0, 2
Suppose -y**2/4 + 353*y/4 - 13365/2 = 0. What is y?
110, 243
Find f, given that 2*f**3/11 + 37476*f**2/11 - 2*f/11 - 37476/11 = 0.
-18738, -1, 1
Solve 4*j**3/7 - 1860*j**2 - 26052*j/7 - 13028/7 = 0.
-1, 3257
Factor 4*z**3 - 2465264*z**2 + 379845411856*z.
4*z*(z - 308158)**2
Solve -3*j**3 + 1245*j**2 - 7341*j - 8589 = 0 for j.
-1, 7, 409
Factor -s**3/4 + 502*s**2 - 993813*s/4 - 7154847/2.
-(s - 1011)**2*(s + 14)/4
What is f in -945*f**4 + 3180*f**3 - 2935*f**2 + 720*f - 20 = 0?
2/63, 1/3, 1, 2
Find q such that -q**2 - 16516*q = 0.
-16516, 0
Factor -3*a**3 - 3136*a**2 + 3*a + 3136.
-(a - 1)*(a + 1)*(3*a + 3136)
Factor -3*q**2 - 582*q + 89385.
-3*(q - 101)*(q + 295)
Factor -2*p**3/5 + 19384*p**2/5 - 38762*p/5 + 3876.
-2*(p - 9690)*(p - 1)**2/5
Suppose d**5/3 - 46*d**4/3 + 123*d**3 - 272*d**2/3 - 1840*d/3 - 384 = 0. Calculate d.
-1, 4, 8, 36
Suppose 2*u**2/9 + 808*u + 7270/9 = 0. What is u?
-3635, -1
Determine a so that 2*a**2 + 785132*a + 77054032178 = 0.
-196283
Find i, given that -2*i**5/5 - 368*i**4/5 - 22396*i**3/5 - 462664*i**2/5 - 859602*i/5 - 418968/5 = 0.
-69, -44, -1
Suppose w**5 + 1417*w**4/5 - 15464*w**3/5 + 34748*w**2/5 + 16464*w/5 = 0. Calculate w.
-294, -2/5, 0, 4, 7
Factor q**2/3 - 161584*q/3 + 161581.
(q - 161581)*(q - 3)/3
Factor -5*v**2 + 3115*v - 48560.
-5*(v - 607)*(v - 16)
What is k in 9*k**4 + 120*k**3 - 972*k**2 + 1392*k = 0?
-58/3, 0, 2, 4
Factor -4*p**2 + 2400*p - 7164.
-4*(p - 597)*(p - 3)
What is z in 2*z**2 - 22942*z + 22940 = 0?
1, 11470
Factor 4*h**3/11 - 6398*h**2/11 + 2550384*h/11 + 6416010/11.
2*(h - 801)**2*(2*h + 5)/11
Factor -4*u**2 + 6312*u.
-4*u*(u - 1578)
Factor 2*j**4 - 18*j**3 - 12*j**2 + 232*j + 336.
2*(j - 7)*(j - 6)*(j + 2)**2
Suppose 2*u**2/19 - 8610*u + 490752/19 = 0. What is u?
3, 81792
Determine p, given that -p**3/5 + 872*p**2/5 + 2471*p + 43414/5 = 0.
-7, 886
Let -20*x**3 - 12232*x**2 - 1867824*x + 749088 = 0. Calculate x.
-306, 2/5
Solve 310951922*m**3 + 932656262*m**2 - 598480*m + 96 = 0 for m.
-3, 4/12469
What is z in 4*z**2 - 219960*z + 3023900100 = 0?
27495
Factor y**3/3 + 320*y**2/3 + 1232*y.
y*(y + 12)*(y + 308)/3
Find n, given that 5*n**4 - 120*n**3 - 2925*n**2 = 0.
-15, 0, 39
Solve 2*b**2 - 162*b - 680 = 0.
-4, 85
Factor -u**3/4 - 15098*u**2.
-u**2*(u + 60392)/4
Suppose -2*f**2 - 12898*f = 0. What is f?
-6449, 0
Find d such that 5*d**2 - 45725*d + 684750 = 0.
15, 9130
Factor -4*r**2 + 33040*r + 66096.
-4*(r - 8262)*(r + 2)
Suppose -4*q**4 - 47060*q**3 - 138344592*q**2 + 415645760*q + 553943296 = 0. What is q?
-5884, -1, 4
Factor -4*w**5/5 + 452*w**4/5 - 1332*w**3/5 + 1324*w**2/5 - 88*w.
-4*w*(w - 110)*(w - 1)**3/5
Factor 111*c**3 + 24311*c**2 - 23982*c - 440.
(c - 1)*(c + 220)*(111*c + 2)
Find y, given that -y**5/3 - 94*y**4/3 - 2470*y**3/3 - 13912*y**2/3 - 20785*y/3 - 9250/3 = 0.
-50, -37, -5, -1
Solve -5*w**5 + 2885*w**4 - 399935*w**3 - 4698165*w**2 - 8184960*w - 3889620 = 0.
-9, -1, 294
Solve -4*l**3/3 + 1100*l**2/3 + 24200*l = 0.
-55, 0, 330
What is y in -8*y**3 - 7070*y**2 = 0?
-3535/4, 0
Determine j, given that -6*j**3/7 + 358*j**2/7 - 356*j/7 - 1856 = 0.
-16/3, 7, 58
Factor 2*l**3 + 622*l**2 - 68130*l + 1624050.
2*(l - 45)**2*(l + 401)
Factor -4*p**2 - 381384*p - 9090859716.
-4*(p + 47673)**2
Factor -q**2 - q + 25760.
-(q - 160)