, -11, 0, 10
Suppose 2*t**2/9 + 1644920*t/9 + 338220225800/9 = 0. Calculate t.
-411230
Find k such that 5*k**2 + 9770*k - 2025135 = 0.
-2143, 189
Find p, given that 5*p**4 - 905*p**3 + 14970*p**2 - 49180*p + 45640 = 0.
2, 14, 163
Suppose 4*i**4/5 - 9066*i**3/5 - 6354*i**2 - 4540*i = 0. Calculate i.
-5/2, -1, 0, 2270
Let 2*f**3/7 - 149512*f**2/7 + 2794229768*f/7 = 0. What is f?
0, 37378
Let -2*u**2 + 38*u - 36 = 0. What is u?
1, 18
Factor -2*y**5/3 - 2510*y**4/3 + 2514*y**3 - 7546*y**2/3 + 2516*y/3.
-2*y*(y - 1)**3*(y + 1258)/3
Factor 6*z**2/11 - 16722*z/11 + 199800/11.
6*(z - 2775)*(z - 12)/11
Let -5*k**2 + 132160*k - 1056960 = 0. Calculate k.
8, 26424
Suppose 3*g**3/2 + 22527*g**2/2 + 21373416*g + 857479494 = 0. What is g?
-3734, -41
Solve 2*j**5/9 - 790*j**4/9 + 86998*j**3/9 - 1729010*j**2/9 + 547600*j/3 = 0.
0, 1, 24, 185
Determine x, given that x**3/6 - 20288*x**2/3 + 68573432*x + 549020352 = 0.
-8, 20292
Find r, given that -2*r**3/13 + 198878*r**2/13 - 397750*r/13 + 15298 = 0.
1, 99437
Suppose -p**3/4 + 243*p**2/4 - 2618*p = 0. What is p?
0, 56, 187
Let -24*f**3 - 8278*f**2 - 15774*f + 1372 = 0. Calculate f.
-343, -2, 1/12
Let -2*d**4/15 - 266*d**3/3 + 2678*d**2/5 - 2414*d/3 + 5368/15 = 0. Calculate d.
-671, 1, 4
Factor 2*b**3/7 - 786*b**2/7 + 12210*b - 1574350/7.
2*(b - 185)**2*(b - 23)/7
What is u in -6*u**4 - 62482*u**3/3 - 212438*u**2 - 565330*u - 346100/3 = 0?
-3461, -5, -2/9
Find x such that x**5 - 5727*x**4 + 114177*x**3 - 211177*x**2 + 102726*x = 0.
0, 1, 18, 5707
What is g in -g**3/2 - 775*g**2/2 + 777*g = 0?
-777, 0, 2
Factor -4*h**4 + 244*h**3 + 91956*h**2 - 11208836*h + 347099456.
-4*(h - 79)**3*(h + 176)
Solve 3*s**5/2 + 51*s**4 - 423*s**3/2 - 1479*s**2 + 6702*s - 6660 = 0 for s.
-37, -6, 2, 5
Find y, given that 2*y**5 + 13632*y**4 + 23296988*y**3 + 231948480*y**2 + 579020450*y = 0.
-3403, -5, 0
What is z in 2*z**2/11 - 59234*z/11 - 59236/11 = 0?
-1, 29618
Factor 2*y**3/7 - 21284*y**2/7 + 8092480*y - 16172800.
2*(y - 5320)**2*(y - 2)/7
Determine b, given that 5*b**2/3 + 17260*b/3 = 0.
-3452, 0
Determine h so that 4*h**4 + 876*h**3 + 13860*h**2 + 25108*h + 12120 = 0.
-202, -15, -1
Determine y, given that -4*y**5 - 302*y**4 - 2556*y**3 - 3166*y**2 + 148*y + 1056 = 0.
-66, -8, -1, 1/2
Factor 103058*q**4 - 519830*q**3 + 22750*q**2 - 250*q.
2*q*(q - 5)*(227*q - 5)**2
Factor -14*c**3/11 + 11090*c**2/11 - 23700*c/11.
-2*c*(c - 790)*(7*c - 15)/11
Factor -o**5/4 - 3*o**4 - 41*o**3/4 - 19*o**2/2 + 9*o + 14.
-(o - 1)*(o + 2)**3*(o + 7)/4
Factor -s**2/4 + 8337*s - 33347/4.
-(s - 33347)*(s - 1)/4
Factor z**4 - 4231*z**3 - 4232*z**2.
z**2*(z - 4232)*(z + 1)
Suppose u**5/5 + 6*u**4/5 - 16*u**3/5 - 146*u**2/5 - 45*u - 20 = 0. What is u?
-5, -4, -1, 5
Determine t so that 2*t**5/13 - 272*t**4/13 - 1680*t**3/13 - 3388*t**2/13 - 218*t - 852/13 = 0.
-3, -1, 142
Solve -6*d**4/17 + 1568*d**3/17 + 5828*d**2/17 + 560*d/17 - 7950/17 = 0.
-3, -5/3, 1, 265
Factor 1893*q**3 - 5675*q**2 - 12*q.
q*(q - 3)*(1893*q + 4)
Let -2*x**4/7 + 58972*x**3/7 - 579773304*x**2/7 + 1902040437200*x/7 - 15179248191616/7 = 0. Calculate x.
8, 9826
Factor 4*s**3 + 77540*s**2 - 310308*s - 1628676.
4*(s - 7)*(s + 3)*(s + 19389)
Factor 3*q**4 + 11400*q**3 + 10818594*q**2 - 21671400*q + 10841403.
3*(q - 1)**2*(q + 1901)**2
Solve 3*p**3 + 1602*p**2 = 0.
-534, 0
Suppose -8*q**5/9 + 158*q**4/9 - 128*q**3/3 + 166*q**2/9 + 68*q/9 = 0. What is q?
-1/4, 0, 1, 2, 17
Factor -5*s**3 - 9445*s**2 - 28300*s - 18860.
-5*(s + 1)*(s + 2)*(s + 1886)
Factor -5*b**4 + 14655*b**3 - 10745775*b**2 + 10731125*b.
-5*b*(b - 1465)**2*(b - 1)
Factor -2*h**3 + 528*h**2 - 526*h.
-2*h*(h - 263)*(h - 1)
Let 8*x**5 + 668*x**4 + 2884*x**3 + 3172*x**2 + 948*x = 0. Calculate x.
-79, -3, -1, -1/2, 0
Determine o so that -o**3/2 - 41*o**2/2 - 133*o + 352 = 0.
-32, -11, 2
Factor 5*n**4 + 1090*n**3 - 60*n**2 - 13160*n - 17440.
5*(n - 4)*(n + 2)**2*(n + 218)
Suppose 5*o**3 + 44165*o**2 - 44170*o = 0. What is o?
-8834, 0, 1
Factor -5*f**3/2 + 3295*f**2 - 1075750*f - 6573660.
-5*(f - 662)**2*(f + 6)/2
Find z such that -5*z**3 + 32910*z**2 - 131580*z + 131560 = 0.
2, 6578
Find s such that -5*s**4 - 2340*s**3 + 1070695*s**2 + 2148390*s + 1075360 = 0.
-752, -1, 286
Factor -2*c**2/5 - 12946*c/5 + 5180.
-2*(c - 2)*(c + 6475)/5
Suppose 2*b**5/11 - 80*b**4/11 + 390*b**3/11 + 640*b**2/11 - 952*b/11 = 0. Calculate b.
-2, 0, 1, 7, 34
Determine l so that l**5/11 + 1181*l**4/11 + 346902*l**3/11 - 1063232*l**2/11 - 3504640*l/11 = 0.
-592, -2, 0, 5
What is d in 3*d**3 - 118857*d**2 - 475464*d - 475476 = 0?
-2, 39623
Suppose z**3 - 955*z**2 + 226567*z + 688323 = 0. What is z?
-3, 479
What is n in 2*n**5/3 + 3830*n**4/3 - 1278*n**3 - 3830*n**2/3 + 3832*n/3 = 0?
-1916, -1, 0, 1
Find b, given that -5*b**5 - 115*b**4 + 1315*b**3 + 8355*b**2 + 12330*b + 5400 = 0.
-30, -3, -1, 12
Find v such that 2*v**2/7 - 654*v/7 + 460 = 0.
5, 322
Solve 5*b**2 + 621940*b + 19340468180 = 0 for b.
-62194
Let -4*d**5 - 116*d**4 - 200*d**3 + 464*d**2 + 864*d = 0. Calculate d.
-27, -2, 0, 2
Factor a**2 - 136366*a - 409107.
(a - 136369)*(a + 3)
Factor a**2 - 835*a + 13104.
(a - 819)*(a - 16)
Determine j so that 10*j**3 + 664*j**2 - 42136*j - 16960 = 0.
-106, -2/5, 40
Determine h, given that 48*h**5 - 452*h**4 - 2136*h**3 - 1428*h**2 + 1616*h + 624 = 0.
-2, -1/3, 3/4, 13
Suppose -2*d**4/15 - 116*d**3/5 - 1936*d**2/5 - 30208*d/15 - 13312/5 = 0. Calculate d.
-156, -8, -2
Factor 5*r**5 - 10*r**4 - 225*r**3 - 710*r**2 - 860*r - 360.
5*(r - 9)*(r + 1)*(r + 2)**3
Determine b, given that 3*b**4/5 + 25311*b**3/5 - 10131*b**2 - 177231*b/5 - 101268/5 = 0.
-8439, -1, 4
Find w, given that w**4 - 18*w**3 - 139*w**2 - 132*w + 288 = 0.
-4, -3, 1, 24
Factor -3*q**3 + 1647*q**2 - 226872*q + 225228.
-3*(q - 274)**2*(q - 1)
What is j in -4*j**3/3 - 601*j**2 + 4425*j - 3206/3 = 0?
-458, 1/4, 7
Let 4*h**2 + 33272*h + 33268 = 0. Calculate h.
-8317, -1
Suppose -4*l**2 - 600*l = 0. What is l?
-150, 0
Find s, given that -s**3/4 - 157935*s**2/4 - 315863*s/4 + 473799/4 = 0.
-157933, -3, 1
Suppose -55*s**2/6 - 9791*s/3 - 356/3 = 0. Calculate s.
-356, -2/55
Factor 5*s**4 + 985*s**3 + 16910*s**2.
5*s**2*(s + 19)*(s + 178)
Factor w**3/2 + 11274*w**2 - 90216*w + 180448.
(w - 4)**2*(w + 22556)/2
Factor 66*k**2/7 - 874620*k/7.
6*k*(11*k - 145770)/7
Factor v**2/4 - 415*v/4 - 104.
(v - 416)*(v + 1)/4
Factor 18*a**2/5 + 2088886*a/5 + 464196/5.
2*(a + 116049)*(9*a + 2)/5
Solve -t**2 + 73374*t - 1345935969 = 0.
36687
Factor 2*c**2/9 + 8980*c/9 - 10000.
2*(c - 10)*(c + 4500)/9
Factor -3*f**3/2 - 5976*f**2 - 23895*f/2 - 5973.
-3*(f + 1)**2*(f + 3982)/2
Determine r, given that -2*r**2/9 + 284*r/9 - 5474/9 = 0.
23, 119
Factor -n**3/2 + 26*n**2 + 2254*n.
-n*(n - 98)*(n + 46)/2
Factor 69*g**3 - 109569*g**2 + 43495320*g + 1891308.
3*(g - 794)**2*(23*g + 1)
Determine i, given that -2*i**3/5 - 3108*i**2/5 + 622*i = 0.
-1555, 0, 1
Factor 4*i**2 + 1399584*i + 122427210816.
4*(i + 174948)**2
Suppose 4*v**5 + 256*v**4 + 3712*v**3 - 16536*v**2 - 137412*v - 182952 = 0. Calculate v.
-33, -3, -2, 7
Suppose -o**2 + 156269*o + 156270 = 0. What is o?
-1, 156270
Solve -3*n**3/5 + 37773*n**2/5 - 118881072*n/5 - 118918848/5 = 0.
-1, 6296
Factor -b**2 - 46576*b - 542330944.
-(b + 23288)**2
Solve -5*d**3 + 66450*d**2 + 132915*d + 66460 = 0.
-1, 13292
Suppose 12*s**3 + 796868*s**2 + 13229004884*s - 4409756836 = 0. What is s?
-33203, 1/3
Factor 2*n**3 + 13062*n**2 + 182524*n + 312816.
2*(n + 2)*(n + 12)*(n + 6517)
Factor -44*p**2 + 12228*p + 1112.
-4*(p - 278)*(11*p + 1)
Find c such that -216*c**4/5 - 14704*c**3/5 - 311966*c**2/5 - 1952934*c/5 - 142956/5 = 0.
-57/2, -11, -2/27
Factor -2*r**2/5 - 3822*r/5 - 55784.
-2*(r + 76)*(r + 1835)/5
Factor -2*h**2 - 232*h + 3072.
-2*(h - 12)*(h + 128)
Let 3*f**5 - 603*f**4 + 23097*f**3 - 21897*f**2 - 23100*f + 22500 = 0. What is f?
-1, 1, 50, 150
Factor 2*f**2/7 - 4008476*f/7 + 2008484980322/7.
2*(f - 1002119)**2/7
Factor 2*f**2/15 - 1796*f/15 + 2384/5.
2*(f - 894)*(f - 4)/15
What is m in -2*m**3/13 - 14052*m**2/13 - 14050*m/13 = 0?
-7025, -1, 0
Factor 2*v**3/3 + 460*v**2/3 - 2450*v.
2*v*(v - 15)*(v + 245)/3
Factor -2*r**3 - 2936*r**2 - 43678*r - 127864.
-2*(r + 4)*(r + 11)*(r + 1453)
Solve -k**2/4 + 2485*k/4 + 2487/2 = 0.
-2, 2487
Solve 2*d**2 + 34524*d + 148988322 = 0.
-8631
Factor -