8
Let -57*m**2 - 300*m - 372 = 0. What is m?
-62/19, -2
Let -33*n**4 + 3906*n**3 - 108261*n**2 - 433344*n - 401868 = 0. What is n?
-2, -18/11, 61
What is f in 2*f**4 - 42174*f**3 + 379452*f**2 - 1011776*f + 674496 = 0?
1, 4, 21078
Solve 4*r**3 - 4536*r**2 - 13636*r - 9096 = 0 for r.
-2, -1, 1137
Let -n**4/3 + 46*n**3/3 - 131*n**2/3 + 86*n/3 = 0. What is n?
0, 1, 2, 43
Suppose -3*g**2/4 + 9465*g/2 - 18927/4 = 0. Calculate g.
1, 6309
Let o**4 + 1230*o**3 + 365725*o**2 - 7687500*o + 39062500 = 0. Calculate o.
-625, 10
Factor -f**3/4 - 121*f**2/4 - 1505*f/2.
-f*(f + 35)*(f + 86)/4
Let -5*m**5 - 50*m**4 + 1205*m**3 + 16130*m**2 + 39360*m + 24480 = 0. What is m?
-12, -2, -1, 17
Factor 2*m**2 - 2074*m.
2*m*(m - 1037)
Factor 4*z**2/3 - 144*z + 848/3.
4*(z - 106)*(z - 2)/3
Factor -c**4/9 + 611*c**3/9 - 6035*c**2/9 + 15025*c/9.
-c*(c - 601)*(c - 5)**2/9
Factor 3*b**3/2 + 525*b**2/2 + 13200*b + 144000.
3*(b + 15)*(b + 80)**2/2
Let -4*q**3 - 12664*q**2 + 76128*q = 0. What is q?
-3172, 0, 6
Determine j, given that -5*j**2 + 25790*j = 0.
0, 5158
Find m, given that -2*m**5/9 - 134*m**4/9 - 596*m**3/9 + 1648*m**2/9 + 10048*m/9 + 7936/9 = 0.
-62, -4, -1, 4
Solve 5*b**2/4 + 948195*b + 179814751605 = 0 for b.
-379278
Factor 5*l**2 - 2035370*l - 2035375.
5*(l - 407075)*(l + 1)
Factor -2*i**2/11 - 1108*i/11 + 11280/11.
-2*(i - 10)*(i + 564)/11
Factor 52900*m**4 - 795340*m**3 + 27616*m**2 - 240*m.
4*m*(m - 15)*(115*m - 2)**2
Determine i, given that 9*i**4 + 4533*i**3 + 20889*i**2 - 34413*i + 8982 = 0.
-499, -6, 1/3, 1
Suppose -2*u**4/7 - 122*u**3/7 - 1858*u**2/7 + 122*u/7 + 1860/7 = 0. What is u?
-31, -30, -1, 1
Suppose 2*c**5/3 + 82*c**4/3 - 8*c**3/3 - 328*c**2/3 = 0. Calculate c.
-41, -2, 0, 2
Let -6*a**5/5 + 712*a**4/15 - 5494*a**3/15 + 10088*a**2/15 - 1928*a/15 - 224 = 0. What is a?
-4/9, 1, 2, 7, 30
Find x such that -5*x**3 - 12225*x**2 + 171885*x - 602455 = 0.
-2459, 7
Find o such that 3*o**5/5 + 12*o**4/5 - 156*o**3 + 294*o**2 + 777*o/5 - 1482/5 = 0.
-19, -1, 1, 2, 13
Factor 4*p**5 - 32*p**4 - 36*p**3 + 432*p**2 + 432*p.
4*p*(p - 6)**2*(p + 1)*(p + 3)
Factor -2*p**5/5 - 2842*p**4/5 - 11348*p**3/5 - 17012*p**2/5 - 11338*p/5 - 2834/5.
-2*(p + 1)**4*(p + 1417)/5
Factor g**3 - 5404*g**2 + 5403*g.
g*(g - 5403)*(g - 1)
Factor -2*q**2/21 + 63622*q/21 - 42412/7.
-2*(q - 31809)*(q - 2)/21
Let 5*l**5 - 3265*l**4 + 518055*l**3 + 4903465*l**2 + 4581040*l - 32868300 = 0. What is l?
-6, -5, 2, 331
Suppose 5*a**3 + 1195775*a**2 - 2391565*a + 1195785 = 0. Calculate a.
-239157, 1
Find b such that 8*b**5 + 19900*b**4 + 12410080*b**3 + 43231520*b**2 + 24641280*b - 24681024 = 0.
-1242, -2, 1/2
Factor -80*m**3 + 1720*m**2 - 5285*m + 4410.
-5*(m - 18)*(4*m - 7)**2
Find m such that -5*m**5/4 + 15*m**4 + 1335*m**3/4 - 745*m**2/2 - 690*m = 0.
-12, -1, 0, 2, 23
Solve 1241*u**5 + 12404*u**4 + 28483*u**3 + 17236*u**2 - 84*u = 0.
-7, -2, -1, 0, 6/1241
Factor -3*q**2/5 + 4767*q/5 + 498996.
-3*(q - 2004)*(q + 415)/5
Determine y so that 15*y**3 + 9650*y**2 + 627365*y + 208050 = 0.
-570, -73, -1/3
Factor 175232*c**4 - 351648*c**3 + 2370*c**2 - 4*c.
2*c*(c - 2)*(296*c - 1)**2
Factor 3*x**5/4 + 369*x**4/4 - 3915*x**3/4 + 9975*x**2/4.
3*x**2*(x - 5)**2*(x + 133)/4
Factor -3*t**3 - 3129*t**2 - 814320*t + 817452.
-3*(t - 1)*(t + 522)**2
Factor -3*u**2 + 15384*u - 19722288.
-3*(u - 2564)**2
Factor 4*h**4 + 3052*h**3 - 15392*h**2 - 24384*h + 147456.
4*(h - 4)**2*(h + 3)*(h + 768)
Let 2*f**5 - 4*f**4 - 22*f**3 + 16*f**2 + 40*f - 32 = 0. What is f?
-2, 1, 4
Find n such that -2*n**4/9 + 586*n**3/9 - 17680*n**2/3 + 1016704*n/9 + 42744832/9 = 0.
-19, 104
Factor -3*k**3 + 1863*k**2 - 11022*k - 29520.
-3*(k - 615)*(k - 8)*(k + 2)
Suppose 15982*o**4 + 31960*o**3 - 8*o**2 = 0. What is o?
-2, 0, 2/7991
Find a, given that -2*a**2 - 252*a + 512 = 0.
-128, 2
Factor -f**2/8 + 281*f/4 + 141.
-(f - 564)*(f + 2)/8
Solve 75*c**5 - 5940*c**4 + 52887*c**3 - 6570*c**2 - 32172*c - 8280 = 0.
-2/5, 1, 10, 69
Suppose 2*t**5/11 + 2914*t**4/11 + 121552*t**3 + 151151760*t**2/11 - 19482530400*t/11 - 19632348000/11 = 0. Calculate t.
-510, -1, 74
Factor -934*b**2/9 + 51350*b/9 + 1100/9.
-2*(b - 55)*(467*b + 10)/9
Suppose -5*x**5 - 215*x**4 + 5*x**3 + 215*x**2 = 0. Calculate x.
-43, -1, 0, 1
Solve 15*q**3 - 3153*q**2 + 12990*q - 2472 = 0 for q.
1/5, 4, 206
Factor f**4 + 110*f**3 - 1324*f**2 + 994*f + 17787.
(f - 7)**2*(f + 3)*(f + 121)
Suppose v**2/7 + 107*v/7 - 29000/7 = 0. What is v?
-232, 125
Factor 17578*x**2/9 + 4*x/9.
2*x*(8789*x + 2)/9
Factor 2*q**3/11 + 57408*q**2/11.
2*q**2*(q + 28704)/11
Determine h, given that -5*h**2/3 - 764*h + 61952/3 = 0.
-484, 128/5
Factor -375*q**4/2 - 206025*q**3/2 - 35276445*q**2/2 - 1377455787*q/2 + 43672954032.
-3*(q - 32)*(5*q + 969)**3/2
Solve -4*z**4 - 2412*z**3 + 12*z**2 + 7244*z + 4824 = 0.
-603, -1, 2
Factor 7*b**3/4 - 6*b**2 + 9*b/4.
b*(b - 3)*(7*b - 3)/4
What is w in w**4/8 - 31*w**3/4 - 163*w**2/8 + 775*w + 1575/2 = 0?
-10, -1, 10, 63
Let f**5/5 - 818*f**4/5 - 8283*f**3/5 + 2452*f**2/5 + 26476*f/5 + 3312 = 0. What is f?
-10, -1, 2, 828
Let -2*i**2 - 708*i + 17342 = 0. What is i?
-377, 23
Determine p so that 2*p**5/9 - 81926*p**4/9 + 372890740*p**3/3 - 5092195890824*p**2/9 + 5091077300528*p/9 = 0.
0, 1, 13654
Suppose -5*n**2 - 395*n + 11110 = 0. Calculate n.
-101, 22
Determine q, given that 4*q**5 + 24*q**4 - 52*q**3 - 312*q**2 + 144*q + 864 = 0.
-6, -3, -2, 2, 3
Factor 93*v**3 + 6606*v**2 + 213*v.
3*v*(v + 71)*(31*v + 1)
Factor -5*s**2 - 3242360*s + 3242365.
-5*(s - 1)*(s + 648473)
Factor 2*h**4/7 + 584*h**3 + 12246*h**2/7.
2*h**2*(h + 3)*(h + 2041)/7
Factor 2*k**2/9 + 1898*k/9 - 1900/9.
2*(k - 1)*(k + 950)/9
Solve -c**4/2 - 174*c**3 - 10199*c**2/2 - 13746*c = 0.
-316, -29, -3, 0
Determine l, given that -3*l**3 + 2460*l**2 - 4908*l = 0.
0, 2, 818
Factor 2*a**4/11 - 1896*a**3/11 - 3800*a**2/11.
2*a**2*(a - 950)*(a + 2)/11
Suppose a**4 - 211*a**3 - 1763*a**2 + 2391*a + 3942 = 0. Calculate a.
-9, -1, 2, 219
What is h in -174*h**2/23 + 178*h/23 - 4/23 = 0?
2/87, 1
Factor 2*g**5 + 134*g**4 - 154*g**3 - 1246*g**2 - 1504*g - 544.
2*(g - 4)*(g + 1)**3*(g + 68)
Factor 3*y**3/2 + 525*y**2/2 + 12429*y/2 + 11907/2.
3*(y + 1)*(y + 27)*(y + 147)/2
Factor -i**3/5 - 522*i**2/5 - 1037*i/5 + 312.
-(i - 1)*(i + 3)*(i + 520)/5
Factor 3*i**2/5 - 957*i/5 + 7260.
3*(i - 275)*(i - 44)/5
What is h in -h**4/4 + 11724*h**3 - 23447*h**2/2 - 11724*h + 46895/4 = 0?
-1, 1, 46895
Solve 2*f**4/5 - 280772*f**3/5 - 842328*f**2/5 - 842332*f/5 - 280778/5 = 0.
-1, 140389
Determine y so that 14*y**3 - 1948*y**2 + 11518*y - 10640 = 0.
8/7, 5, 133
Factor -3*s**3 + 48*s**2 + 13407*s + 52668.
-3*(s - 77)*(s + 4)*(s + 57)
Factor 2*i**3/19 + 36*i**2/19 + 94*i/19 + 60/19.
2*(i + 1)*(i + 2)*(i + 15)/19
Factor 4*q**2 - 910760*q.
4*q*(q - 227690)
Determine x so that 3*x**2 - 145501*x/3 + 145492/3 = 0.
1, 145492/9
Let -2*x**2/3 + 11614*x/3 - 42504 = 0. What is x?
11, 5796
Determine r, given that r**5/8 + 15*r**4/4 - 585*r**3/8 + 745*r**2/4 + 648*r - 1980 = 0.
-44, -3, 3, 4, 10
Factor 4*p**2 - 60*p + 104.
4*(p - 13)*(p - 2)
Factor -5*g**4 - 10770*g**3 - 43020*g**2 - 43000*g.
-5*g*(g + 2)**2*(g + 2150)
Factor -f**2/4 + 1259*f/2 - 7545/4.
-(f - 2515)*(f - 3)/4
Factor -5*j**2 - 9002960*j - 4052664438080.
-5*(j + 900296)**2
Solve -s**2 + 58715*s - 58714 = 0 for s.
1, 58714
Factor -5*c**2 + 7650*c + 763280.
-5*(c - 1624)*(c + 94)
Factor -3*x**3 - 237*x**2 - 108*x + 9828.
-3*(x - 6)*(x + 7)*(x + 78)
Solve 3*k**5 - 3732*k**4 - 66*k**3 + 82176*k**2 - 89433*k - 167940 = 0 for k.
-5, -1, 3, 1244
Let 4*c**5 + 108*c**4 + 220*c**3 - 1788*c**2 - 3824*c - 1920 = 0. Calculate c.
-24, -5, -1, 4
Suppose -5*d**3 + 2055*d**2 - 14200*d + 24240 = 0. Calculate d.
3, 4, 404
Factor -2*c**2 - 27214*c - 81624.
-2*(c + 3)*(c + 13604)
Suppose 4*x**5 + 128*x**4 - 2672*x**3 + 7448*x**2 + 23404*x + 13160 = 0. What is x?
-47, -1, 7, 10
Determine j, given that 15*j**4 - 35965*j**3/3 + 7135865*j**2/3 + 20043985*j/3 + 11256070/3 = 0.
-2, -7/9, 401
Suppose -22*r**4/19 - 84410*r**3/19 - 81000972*r**2/19 - 66201688*r/19 + 14714896/19 = 0. What is r?
-1918, -1, 2/11
Suppose 3*v**5 - 555*v**4 + 1095*v**3 + 555*v**2 - 1098*v = 0. What is v?
-1, 0, 1, 2, 183
Factor 5*a**3 - 2455*a**2 - 457405*a + 255794175.
5*(a - 403)**2*(a + 315)
Solve -7*w**4/5 + 1007145*w**3 - 90565