01230400.
-4*(g - 12260)**2
Factor -2*q**3 - 3692*q**2 - 326968*q - 7422928.
-2*(q + 46)**2*(q + 1754)
Solve 10*w**4 - 7625*w**3/6 + 38545*w**2 + 137375*w/2 - 81395/3 = 0.
-2, 1/3, 223/4, 73
Solve -x**2 + 19520*x - 95257600 = 0 for x.
9760
Factor 5*q**2/3 - 154*q/3 + 40.
(q - 30)*(5*q - 4)/3
Determine q so that 4*q**4 - 660*q**3 + 35424*q**2 - 578880*q - 2073600 = 0.
-3, 48, 60
Factor -3*l**3 - 20304*l**2 + 40617*l - 20310.
-3*(l - 1)**2*(l + 6770)
Find l such that -4*l**2 - 1160*l + 4704 = 0.
-294, 4
Factor -3*n**2/5 - 11103*n/5 - 33282/5.
-3*(n + 3)*(n + 3698)/5
Let -21*n**4 - 149262*n**3 + 341247*n**2 - 234624*n + 42660 = 0. What is n?
-7110, 2/7, 1
Suppose 38862996769*w**4 - 77725599264*w**3 + 38862208222*w**2 + 394272*w + 1 = 0. What is w?
-1/197137, 1
Suppose 3159*s**2 + 1418397*s + 2694 = 0. Calculate s.
-449, -2/1053
Determine b, given that -b**5/2 + 15*b**4/2 - 30*b**3 + 10*b**2 + 48*b = 0.
-1, 0, 2, 6, 8
Suppose 2*r**2 - 936*r + 108864 = 0. What is r?
216, 252
Solve 127120*s**5/3 - 445400*s**4/3 + 200305*s**3/3 - 8195*s**2 + 30*s = 0.
0, 6/1589, 1/4, 3
Find i such that i**3/6 + 136*i**2/3 + 541*i/6 + 45 = 0.
-270, -1
Factor r**3 - 5814*r**2 + 8303424*r + 429831200.
(r - 2932)**2*(r + 50)
Suppose -i**3 - 859*i**2 + 2590*i + 3448 = 0. Calculate i.
-862, -1, 4
Suppose 2*d**2 + 354592*d + 709176 = 0. Calculate d.
-177294, -2
Factor -w**4/6 - 1259*w**3/3 - 351538*w**2 - 292107053*w/3 + 2974116605/6.
-(w - 5)*(w + 841)**3/6
Let w**3/4 - 31549*w**2/4 + 63095*w/4 - 31547/4 = 0. Calculate w.
1, 31547
Factor -1681*w**3/3 + 1025*w**2/3 + 592*w/3 + 64/3.
-(w - 1)*(41*w + 8)**2/3
What is h in -2*h**5/9 + 34*h**4/9 + 40*h**3/3 + 8*h**2/9 - 160*h/9 = 0?
-2, 0, 1, 20
Suppose -8*n**5 - 564*n**4 - 8896*n**3 - 12372*n**2 - 4032*n = 0. What is n?
-48, -21, -1, -1/2, 0
Factor a**4 - 8667*a**3 + 18783555*a**2 - 18774889*a.
a*(a - 4333)**2*(a - 1)
Solve -2*l**2/3 - 93928*l/3 - 1102808648/3 = 0.
-23482
Determine s so that 3*s**3/2 + 2155*s**2/2 + 1434*s = 0.
-717, -4/3, 0
Find f, given that -f**4 + 8855*f**3 - 26089611*f**2 + 25435856741*f + 413688983888 = 0.
-16, 2957
Suppose -p**2 - 1367474*p - 467496285169 = 0. Calculate p.
-683737
Find i, given that -13307124605*i**2 + 825424*i - 64/5 = 0.
8/257945
Factor -3*z**5/7 + 102*z**4/7 - 720*z**3/7.
-3*z**3*(z - 24)*(z - 10)/7
Determine m so that -3*m**3 + 135*m**2 + 1038*m - 6120 = 0.
-10, 4, 51
Factor -34*x**3/5 - 8*x**2/5 + 16632*x/5.
-2*x*(x - 22)*(17*x + 378)/5
Factor -l**3 + 717*l**2 + 42504*l + 606032.
-(l - 773)*(l + 28)**2
Solve x**2 - 2801*x - 2802 = 0 for x.
-1, 2802
Find q, given that q**5 + 23*q**4 + 18*q**3 - 92*q**2 - 88*q = 0.
-22, -2, -1, 0, 2
Determine w, given that w**2 - 1527*w - 10738 = 0.
-7, 1534
Determine g so that -4*g**2 + 247176*g - 3818498436 = 0.
30897
What is a in 5*a**4/4 + 1445*a**3/2 + 11505*a**2/4 + 3590*a + 1435 = 0?
-574, -2, -1
Suppose 5*r**3/6 + 99625*r**2/3 - 398545*r/2 + 298920 = 0. What is r?
-39856, 3
Solve -b**4/5 + 1999*b**3/5 - 1017738*b**2/5 + 3731508*b - 3528360 = 0 for b.
1, 18, 990
Factor 2*m**3/5 - 52686*m**2/5 - 52688*m/5.
2*m*(m - 26344)*(m + 1)/5
Find i such that i**2/7 + 72893*i/7 = 0.
-72893, 0
Factor 2*y**2/13 + 4610*y/13 - 178068/13.
2*(y - 38)*(y + 2343)/13
Factor -304*v**2 + 101*v + 203.
-(v - 1)*(304*v + 203)
Factor -5*k**2 - 26985*k + 81000.
-5*(k - 3)*(k + 5400)
Determine y so that y**2/7 + 58*y/7 + 760/7 = 0.
-38, -20
Determine t, given that 4*t**2 + 2116*t + 203112 = 0.
-403, -126
Suppose -3*p**5/2 - 153*p**4/2 - 1929*p**3/2 + 3105*p**2/2 + 34500*p + 56250 = 0. What is p?
-25, -5, -2, 6
Let 4*s**5/5 + 45938*s**4/5 + 26362664*s**3 - 461817592*s**2/5 + 264040192*s/5 + 263948288/5 = 0. What is s?
-5744, -1/2, 2
Factor -171125*y**2 - 12950*y - 245.
-5*(185*y + 7)**2
Determine d so that -5*d**2 - 9185*d + 55290 = 0.
-1843, 6
Factor 4*g**2 - 7112*g + 21300.
4*(g - 1775)*(g - 3)
Factor t**3/6 - 102983*t**2/3 + 411926*t/3 - 137308.
(t - 205962)*(t - 2)**2/6
Factor 20*y**3 - 32*y**2 - 28*y + 24.
4*(y - 2)*(y + 1)*(5*y - 3)
Factor -233216*j**3/7 - 233222*j**2/7 - 6*j/7.
-2*j*(j + 1)*(116608*j + 3)/7
Let 4*a**2 + 2348*a - 234552 = 0. Calculate a.
-674, 87
What is b in b**5/2 + 47*b**4/2 - 678*b**3 + 2518*b**2 + 4664*b - 6528 = 0?
-68, -2, 1, 6, 16
Suppose 4*m**5 - 304*m**4 - 4644*m**3 + 1216*m**2 + 18512*m = 0. What is m?
-13, -2, 0, 2, 89
Determine j, given that 197*j**3/6 + 1774*j**2/3 + 3385*j/6 + 17/3 = 0.
-17, -1, -2/197
Find r such that -4*r**3 + 262892*r**2 - 1051520*r + 1051504 = 0.
2, 65719
Solve 2*p**3/3 + 2286*p**2 + 6856*p/3 = 0 for p.
-3428, -1, 0
Factor w**2 + 1276*w + 294148.
(w + 302)*(w + 974)
Suppose -5*h**2 + 2485*h = 0. Calculate h.
0, 497
Solve 4*s**5 + 29932*s**4 + 59852*s**3 + 29924*s**2 = 0 for s.
-7481, -1, 0
Suppose -674*s**4/7 + 34414*s**3/7 - 586398*s**2/7 + 478006*s - 196520/7 = 0. Calculate s.
20/337, 17
Find t, given that -2*t**2 + 212924*t - 5667078722 = 0.
53231
Factor 5*r**2 + 7595*r - 22830.
5*(r - 3)*(r + 1522)
Find w, given that 2*w**3/5 + 23394*w**2/5 - 8*w/5 - 93576/5 = 0.
-11697, -2, 2
Let -x**5/4 - 29*x**4/4 + 231*x**3/2 + 188*x**2 - 1256*x + 960 = 0. Calculate x.
-40, -4, 1, 2, 12
Factor k**5/6 + 88*k**4/3 + 1815*k**3 + 47916*k**2 + 922383*k/2.
k*(k + 33)**3*(k + 77)/6
Factor -d**2/5 + 7328*d/5 + 2932.
-(d - 7330)*(d + 2)/5
Factor h**3/2 - 25*h**2.
h**2*(h - 50)/2
Determine a, given that 334*a**2/5 - 1839*a/5 + 11/5 = 0.
1/167, 11/2
Factor c**4/4 + 633*c**3/4 + 24480*c**2 - 179200*c.
c*(c - 7)*(c + 320)**2/4
Suppose -2*k**4/15 - 356*k**3/5 + 6*k**2/5 + 3204*k/5 = 0. What is k?
-534, -3, 0, 3
Factor 2*n**2 + 70538*n + 70536.
2*(n + 1)*(n + 35268)
Determine h, given that -2*h**3/5 + 3112*h**2/5 + 3118*h/5 - 6228/5 = 0.
-2, 1, 1557
Suppose -q**3/4 + 3975*q**2/2 + 7951*q/4 = 0. What is q?
-1, 0, 7951
Let p**5/8 - 18915*p**4/8 + 18909*p**3/8 + 94567*p**2/8 + 28371*p/4 = 0. What is p?
-1, 0, 3, 18914
Determine c, given that -c**4 - 9578*c**3 - 22953669*c**2 - 91699772*c - 91661476 = 0.
-4787, -2
Suppose 2*u**5/5 + 468*u**4/5 - 946*u**3/5 - 468*u**2/5 + 944*u/5 = 0. Calculate u.
-236, -1, 0, 1, 2
Factor 3*l**3 - 7131*l**2 + 4255368*l - 21098940.
3*(l - 1186)**2*(l - 5)
Factor -76*s**5 + 372*s**4 + 40*s**3.
-4*s**3*(s - 5)*(19*s + 2)
Solve 34965*a**3 - 594410*a**2 + 1049035*a - 150 = 0 for a.
1/6993, 2, 15
Find l, given that l**4/3 + 2*l**3/3 - 4*l**2/3 - 2*l/3 + 1 = 0.
-3, -1, 1
Determine k so that 3*k**5/5 - 3024*k**4 + 19005786*k**3/5 + 114443292*k**2/5 + 171808731*k/5 + 76386348/5 = 0.
-4, -1, 2523
Find h such that -h**2/3 + 427122*h - 136824902163 = 0.
640683
What is h in -h**4 - 239*h**3 - 707*h**2 + 239*h + 708 = 0?
-236, -3, -1, 1
Suppose -2*g**4/7 - 26720*g**3/7 - 89218076*g**2/7 + 178516320*g/7 - 89271522/7 = 0. Calculate g.
-6681, 1
Determine g so that -g**3/3 + 73034*g**2/3 + 584320*g/3 + 1168672/3 = 0.
-4, 73042
Factor -5*s**3/2 - 278035*s**2/2 + 556100*s - 556110.
-5*(s - 2)**2*(s + 55611)/2
Factor 3*k**3 - 156*k**2 + 1548*k - 4320.
3*(k - 40)*(k - 6)**2
Find c such that -c**5 + 296*c**4 - 30336*c**3 + 1299456*c**2 - 24662016*c + 172523520 = 0.
24, 104, 120
Factor -m**3/11 + 117*m**2 + 15552*m/11 + 46764/11.
-(m - 1299)*(m + 6)**2/11
Factor -g**3/11 - 5*g**2/11 + 56*g/11 + 60/11.
-(g - 6)*(g + 1)*(g + 10)/11
Solve 2*p**2 + 300*p + 3312 = 0 for p.
-138, -12
Suppose 2*p**5/7 + 2*p**4/7 - 14*p**3 + 358*p**2/7 - 480*p/7 + 216/7 = 0. Calculate p.
-9, 1, 2, 3
Suppose -s**5/4 + 19*s**4/2 + 7*s**3/4 - 68*s**2 + 57*s = 0. What is s?
-3, 0, 1, 2, 38
Factor 5*r**2 - 137570*r + 946275245.
5*(r - 13757)**2
Factor -15*m**2 - 167480*m + 111660.
-5*(m + 11166)*(3*m - 2)
Let -50*x**5/13 - 6210*x**4/13 + 53214*x**3/13 + 229186*x**2/13 + 39204*x/13 - 17424/13 = 0. What is x?
-132, -3, -2/5, 1/5, 11
Solve -y**5/2 - 458*y**4 + 460*y**3 + 1375*y**2 - 919*y/2 - 917 = 0 for y.
-917, -1, 1, 2
Solve s**3/7 - 24*s**2/7 - 601*s/7 - 1560/7 = 0 for s.
-13, -3, 40
Suppose -2*r**2/7 - 15020*r/7 - 28200050/7 = 0. What is r?
-3755
Factor 2*i**5/17 + 20980*i**4/17 - 125928*i**3/17 + 251888*i**2/17 - 167936*i/17.
2*i*(i - 2)**3*(i + 10496)/17
Factor 5*p**2 + 104230*p + 543194645.
5*(p + 10423)**2
Factor 4*l**3 - 16816*l**2 + 17690420*l - 35313608.
4*(l - 2101)**2*(l - 2)
Suppose 12*s**5 + 548*s**4 + 3256*s**3 + 5256*s**2 - 2052*s - 7020 = 0. 