60*r/3 = 0?
-460, -11, 0
Factor -2*g**3/9 - 3046*g**2/9 + 12208*g/9 - 4072/3.
-2*(g - 2)**2*(g + 1527)/9
Find b such that b**5/2 + 581*b**4/2 + 41461*b**3 - 213739*b**2 + 262821*b/2 + 772641/2 = 0.
-293, -1, 3
What is w in 4*w**4 - 116*w**3 - 124*w**2 + 116*w + 120 = 0?
-1, 1, 30
What is u in 3*u**5 + 1902*u**4 + 273075*u**3 - 9203124*u**2 = 0?
-331, 0, 28
Factor 4*o**2/3 + 1612*o.
4*o*(o + 1209)/3
Let 2*t**4 + 362*t**3 + 360*t**2 = 0. What is t?
-180, -1, 0
Factor 3*y**3 + 3181068*y**2.
3*y**2*(y + 1060356)
Factor -2*p**4/5 - 5836*p**3/5 - 4239818*p**2/5 + 25596696*p/5 - 38473992/5.
-2*(p - 3)**2*(p + 1462)**2/5
What is d in d**3/2 - 135*d**2 + 13041*d/2 = 0?
0, 63, 207
Solve 2*j**2 + 84284*j + 887974082 = 0.
-21071
Find x, given that -5*x**3 - 23950*x**2 + 191885*x - 167930 = 0.
-4798, 1, 7
Solve 3*w**2/2 + 91926*w + 1408398246 = 0 for w.
-30642
Suppose -6*s**2/11 + 454596*s/11 - 8610730134/11 = 0. What is s?
37883
Factor 4*a**4 + 116*a**3 - 3252*a**2 + 18684*a - 15552.
4*(a - 9)**2*(a - 1)*(a + 48)
Factor 3*d**2 + 1119*d/7 + 5070/7.
3*(d + 5)*(7*d + 338)/7
Find v, given that -3*v**5 - 1878*v**4 - 389484*v**3 - 26644410*v**2 + 27035775*v = 0.
-237, -195, 0, 1
Find w, given that 4*w**5 - 12788*w**4 + 10341412*w**3 - 192529724*w**2 + 505390984*w - 323189888 = 0.
1, 2, 16, 1589
Suppose 22*d**2/3 + 1654*d + 4940/3 = 0. What is d?
-2470/11, -1
Factor -v**2 - 3666*v + 47827.
-(v - 13)*(v + 3679)
Factor n**2 + 76338*n - 76339.
(n - 1)*(n + 76339)
Factor j**2/8 + 15200*j - 121601/8.
(j - 1)*(j + 121601)/8
Find n, given that -4*n**5/7 + 844*n**4/7 - 26056*n**3/7 + 252544*n**2/7 - 83968*n + 360448/7 = 0.
1, 2, 16, 176
Let -2*i**2/7 + 19070*i/7 + 38148/7 = 0. What is i?
-2, 9537
Suppose -352821*w**2/2 + 50151*w + 72 = 0. Calculate w.
-24/16801, 2/7
Suppose 2*n**2 + 6206*n - 49776 = 0. What is n?
-3111, 8
Factor -k**3 + 109220*k**2 - 2982361317*k + 5964285762.
-(k - 54609)**2*(k - 2)
Find y such that 1050*y**2 + 42722*y - 1140 = 0.
-285/7, 2/75
Factor -2*g**3 - 15202*g**2 - 28879998*g + 28895202.
-2*(g - 1)*(g + 3801)**2
Solve -4*v**4 + 2980*v**3 - 71996*v**2 - 2980*v + 72000 = 0.
-1, 1, 25, 720
Factor -3*y**3 + 513*y**2 + 9588*y.
-3*y*(y - 188)*(y + 17)
Find n such that -80*n**3 - 548*n**2 - 716*n + 120 = 0.
-5, -2, 3/20
Suppose -4608*q**2 - 3763392*q - 768398402 = 0. Calculate q.
-19601/48
Let 4*u**2 + 23204*u - 23208 = 0. What is u?
-5802, 1
Factor -212*m**2/7 + 17608*m/7 - 996/7.
-4*(m - 83)*(53*m - 3)/7
Find f, given that 3*f**5/5 - 474*f**4/5 + 27918*f**3/5 - 148716*f**2 + 1716795*f - 6889050 = 0.
9, 14, 45
Solve -16*k**2 - 15140*k + 11364 = 0 for k.
-947, 3/4
Suppose 3*z**3 + 2061*z**2 - 12495*z - 14553 = 0. What is z?
-693, -1, 7
Find h, given that 3*h**5 + 126*h**4 + 1305*h**3 + 3702*h**2 + 2520*h = 0.
-28, -10, -3, -1, 0
Determine q, given that 2*q**2/3 + 5542*q/3 - 162400/3 = 0.
-2800, 29
Solve -4*m**2 - 10832*m - 10828 = 0 for m.
-2707, -1
Find j, given that -3*j**4 - 315*j**3 + 2772*j**2 + 6780*j = 0.
-113, -2, 0, 10
Solve l**2 - 248*l + 1215 = 0.
5, 243
Factor 3*r**2 + 3741*r - 421512.
3*(r - 104)*(r + 1351)
Find v such that 4*v**3/3 + 9152*v**2 + 15668160*v - 377795072/3 = 0.
-3436, 8
Factor -3*t**2 - 120090*t - 1201800675.
-3*(t + 20015)**2
Suppose -2*p**4/15 - 167604*p**3/5 - 31601985602*p**2/15 + 21068493216*p/5 - 31602991232/15 = 0. Calculate p.
-125704, 1
Let -2*b**5/9 + 1678*b**4/9 - 6658*b**3/9 - 18358*b**2/9 - 3340*b/3 = 0. What is b?
-1, 0, 6, 835
Let -3*b**5 + 387*b**4 + 795*b**3 - 1179*b**2 = 0. What is b?
-3, 0, 1, 131
Factor -3*v**3 - 477*v**2 - 2733*v + 3213.
-3*(v - 1)*(v + 7)*(v + 153)
Let -5*j**4/9 + 470332*j**3/3 - 99544921199*j**2/9 - 26545707400*j/3 + 19909210000/9 = 0. Calculate j.
-1, 1/5, 141100
Factor -g**2/8 + 4348*g.
-g*(g - 34784)/8
Factor -c**4/5 + 1664*c**3 + 58289*c**2/5.
-c**2*(c - 8327)*(c + 7)/5
Suppose -147*p**3 - 2380749*p**2 - 1360392*p - 194340 = 0. Calculate p.
-16195, -2/7
Let -l**2/2 + 3502*l - 7002 = 0. Calculate l.
2, 7002
Factor -1838*n**2 + 1868*n - 30.
-2*(n - 1)*(919*n - 15)
Let 4*m**4 - 208*m**3 + 948*m**2 - 344*m - 1504 = 0. What is m?
-1, 2, 4, 47
Suppose -q**5 - 166*q**4 + 169*q**3 + 334*q**2 = 0. What is q?
-167, -1, 0, 2
Suppose 900*f**5 + 4260*f**4 - 30944*f**3 - 144752*f**2 + 265856*f + 1230080 = 0. What is f?
-5, -4, 62/15
Factor 2*a**4/13 + 148*a**3/13 - 304*a**2/13.
2*a**2*(a - 2)*(a + 76)/13
Determine w, given that -4*w**4 + 1929704*w**3 - 232736775172*w**2 + 465467761248*w - 232732915776 = 0.
1, 241212
Let 36*n**5 - 9036*n**4 - 123580*n**3 + 7036*n**2 + 94088*n - 27456 = 0. Calculate n.
-13, -1, 1/3, 2/3, 264
What is f in -f**4 + 475*f**3 - 71248*f**2 + 3438204*f = 0?
0, 122, 231
Solve 2*f**2/13 - 63652*f/13 + 506447138/13 = 0 for f.
15913
Factor -2*g**3/11 + 230*g**2/11 - 6552*g/11.
-2*g*(g - 63)*(g - 52)/11
Determine k, given that k**4 - 722*k**3 + 126636*k**2 + 1339560*k = 0.
-10, 0, 366
Suppose -z**2/3 - 1787*z/3 - 1786/3 = 0. What is z?
-1786, -1
What is m in 2*m**5 + 212*m**4 - 7038*m**3 + 19152*m**2 = 0?
-133, 0, 3, 24
Factor 2*j**5/5 + 466*j**4/5 + 926*j**3/5 + 462*j**2/5.
2*j**2*(j + 1)**2*(j + 231)/5
Factor -5*h**3 + 3025*h**2 - 359135*h - 31224885.
-5*(h - 331)**2*(h + 57)
Factor 2*g**2/3 - 1388*g/3 - 15994.
2*(g - 727)*(g + 33)/3
Solve -1673*o**3 - 9*o**2 = 0.
-9/1673, 0
Factor 4*d**4 - 148*d**3 + 144*d**2.
4*d**2*(d - 36)*(d - 1)
Factor 12*g**3 + 15567*g**2 + 3891*g.
3*g*(g + 1297)*(4*g + 1)
Find o such that -5*o**4 + 11640*o**3 - 23260*o**2 = 0.
0, 2, 2326
Find q such that -5*q**4 + 115*q**3 + 60*q**2 - 6320*q - 17600 = 0.
-4, 11, 20
Determine u, given that -3165*u**3/4 + 3171*u**2/4 - 3*u/2 = 0.
0, 2/1055, 1
Determine x so that 100*x**5 + 248260*x**4 + 1635304*x**3 + 2832208*x**2 - 833504*x - 3882368 = 0.
-2476, -14/5, -2, 1
Suppose -2*b**5/15 + 206*b**4/15 - 160*b**3/3 + 264*b**2/5 = 0. Calculate b.
0, 2, 99
What is n in n**3 - 1476*n**2 - 13365*n = 0?
-9, 0, 1485
Factor f**4/3 + 15*f**3 + 29*f**2 + 43*f/3.
f*(f + 1)**2*(f + 43)/3
Suppose 3*r**5 - 5523*r**4 + 147420*r**3 - 880512*r**2 - 1984416*r + 6399792 = 0. Calculate r.
-3, 2, 14, 1814
Factor -162*s**2 + 1152*s - 2048.
-2*(9*s - 32)**2
Factor 1364522787*t**3 - 68225883426*t**2 - 12796188*t - 600.
3*(t - 50)*(21327*t + 2)**2
Suppose i**4/5 - 6*i**3/5 - 8377*i**2/5 - 25074*i/5 - 16704/5 = 0. What is i?
-87, -2, -1, 96
Determine a so that -806*a**2 - 4022*a/5 + 8/5 = 0.
-1, 4/2015
Find y such that -4*y**4 - 14916*y**3 + 89592*y**2 - 179248*y + 119520 = 0.
-3735, 2
Determine t so that 64*t**5/5 - 1487648*t**4/5 - 5207484*t**3/5 - 1580944*t**2/5 + 1859852*t/5 - 278976/5 = 0.
-3, -1, 1/4, 23248
Factor -3*n**4 + 1445760*n**3 + 1445763*n**2.
-3*n**2*(n - 481921)*(n + 1)
Find b such that -5*b**4 - 360*b**3 - 1710*b**2 - 2360*b - 1005 = 0.
-67, -3, -1
Determine t, given that -111*t**5/7 - 2670*t**4/7 - 17793*t**3/7 - 42690*t**2/7 - 4128*t - 1440/7 = 0.
-15, -4, -1, -2/37
Determine u so that u**3/6 - 158*u**2/3 - 5239*u/2 - 7380 = 0.
-41, -3, 360
Let -35*v**5 - 1180*v**4 - 8515*v**3 + 23950*v**2 - 17460*v + 3240 = 0. What is v?
-18, 2/7, 1
Suppose -t**4/5 + 33*t**3/5 - 269*t**2/5 - 33*t/5 + 54 = 0. What is t?
-1, 1, 15, 18
Factor -472*m**2 - 17908*m - 16428.
-4*(m + 37)*(118*m + 111)
Find q such that -3*q**4 - 1407*q**3 - 70584*q**2 - 497904*q - 951552 = 0.
-413, -48, -4
Find g, given that 3*g**5/5 - 42*g**4/5 + 3*g**3/5 + 456*g**2/5 + 204*g/5 - 624/5 = 0.
-2, 1, 4, 13
Factor c**2/2 + 2013*c/2.
c*(c + 2013)/2
What is h in 4*h**4/7 - 101480*h**3/7 - 72496*h**2 - 710488*h/7 - 43500 = 0?
-3, -1, 25375
Factor 2*o**4/9 - 112*o**3/9 - 80*o**2 - 1472*o/9 - 992/9.
2*(o - 62)*(o + 2)**3/9
Solve -r**2/4 + 77*r/2 - 976 = 0 for r.
32, 122
Determine y so that -4*y**4 - 1132*y**3 + 4*y**2 + 1132*y = 0.
-283, -1, 0, 1
Factor -3*a**2/7 + 1437*a/7 - 35334/7.
-3*(a - 453)*(a - 26)/7
Determine p, given that 7*p**2/5 + 82*p/5 + 208/5 = 0.
-8, -26/7
Find k such that -3*k**4/8 + 123*k**3/8 + 4662*k**2 + 36462*k + 72336 = 0.
-88, -4, 137
Determine u so that 3*u**5 - 777*u**4 + 1473*u**3 + 17805*u**2 - 18072*u - 111024 = 0.
-3, 4, 257
Suppose 1620*p**3 - 165555*p**2 + 32120*p + 1020 = 0. Calculate p.
-1/36, 2/9, 102
Determine n so that -2*n**2 - 14314*n + 100296 = 0.
-7164, 7
Factor -5*g**2 - 1005*g + 5150.
-5*(g - 5)*(g + 206)
Find v such 