hat -3*t**2/7 - 1293*t/7 - 10152/7 = 0.
-423, -8
Let 195*r**4/2 - 531*r**3/2 - 8937*r**2/2 - 18225*r/2 - 2187 = 0. What is r?
-3, -18/65, 9
Factor 2*x**2/3 - 19532*x - 117216.
2*(x - 29304)*(x + 6)/3
Let -3*h**2 + 189*h + 1704 = 0. What is h?
-8, 71
Find r such that 2*r**3/25 - 4644*r**2/25 - 744*r - 18608/25 = 0.
-2, 2326
Factor -3*q**3 - 186*q**2 - 1623*q - 3276.
-3*(q + 3)*(q + 7)*(q + 52)
Factor 158*f**2 + 1418*f - 36.
2*(f + 9)*(79*f - 2)
Suppose 5*q**2/4 + 13*q/4 - 187 = 0. What is q?
-68/5, 11
Determine j so that 5*j**4 + 1935*j**3 - 5930*j**2 - 31260*j - 23400 = 0.
-390, -2, -1, 6
Solve 3*b**4/5 + 447*b**3/5 + 1314*b**2/5 - 12*b/5 - 1752/5 = 0 for b.
-146, -2, 1
Suppose -t**4 - 327*t**3 + 30960*t**2 - 651200*t = 0. Calculate t.
-407, 0, 40
Find o, given that o**5/3 - 5*o**4/3 - 358*o**3/3 - 352*o**2/3 = 0.
-16, -1, 0, 22
Suppose 5*g**3 + 20*g**2 - 2820*g + 15120 = 0. What is g?
-28, 6, 18
Suppose n**3/4 + 497*n**2/4 - 1518*n + 4581 = 0. What is n?
-509, 6
Factor c**3/3 + 490*c**2/3 - 1973*c/3 + 494.
(c - 3)*(c - 1)*(c + 494)/3
Let -m**4/2 + 3911*m**3/2 + 5870*m**2 + 3914*m = 0. Calculate m.
-2, -1, 0, 3914
Factor 2*t**3/9 + 16*t**2/9 - 46*t/9 - 20/3.
2*(t - 3)*(t + 1)*(t + 10)/9
Find g such that 20*g**4/3 - 3128*g**3/3 + 4436*g**2 + 10376*g/3 - 6080/3 = 0.
-1, 2/5, 5, 152
Solve x**3/2 + 4247*x**2/2 - 25545*x/2 - 114831/2 = 0 for x.
-4253, -3, 9
Factor -100*d**3 + 279080*d**2 + 335004*d + 100512.
-4*(d - 2792)*(5*d + 3)**2
Suppose 5*m**3 + 1725*m**2 + 13435*m - 15165 = 0. Calculate m.
-337, -9, 1
Factor 2*w**2 - 998074*w + 1996140.
2*(w - 499035)*(w - 2)
Solve f**5 + 109*f**4 - 944*f**3 - 276524*f**2 - 1091360*f - 1085888 = 0 for f.
-76, -2, 47
Factor -4*t**5 - 353784*t**4 - 1061328*t**3 - 1061320*t**2 - 353772*t.
-4*t*(t + 1)**3*(t + 88443)
Find k such that 2662*k**4/13 - 87357402*k**3/13 - 47650020*k**2/13 - 8663672*k/13 - 525072/13 = 0.
-2/11, 32817
Factor -4*t**2 - 49288*t.
-4*t*(t + 12322)
Find v, given that -21*v**3 - 528*v**2 - 2631*v - 3420 = 0.
-19, -4, -15/7
Factor -2*w**4/21 + 1244*w**3 - 37905920*w**2/7 + 164852689300*w/21 + 165194077750/7.
-2*(w - 4355)**3*(w + 3)/21
Solve -5*d**4 + 35*d**3 + 2555*d**2 - 7835*d + 5250 = 0.
-21, 1, 2, 25
Factor -155226681*f**2/2 + 174426*f - 98.
-(12459*f - 14)**2/2
Find z, given that 477*z**4/2 + 2478*z**3 + 4353*z**2 + 2226*z + 225/2 = 0.
-25/3, -1, -3/53
Suppose -c**5 + 24404*c**4 - 198534664*c**3 + 538558126624*c**2 - 1074734813264*c - 4305290800832 = 0. What is c?
-2, 4, 8134
Factor -i**3/7 + 431*i**2/7 - 5000*i/7 - 1676.
-(i - 419)*(i - 14)*(i + 2)/7
Factor 5*v**2 + 2320*v + 54875.
5*(v + 25)*(v + 439)
Factor 3*a**3 + 150*a**2 - 2847*a + 5070.
3*(a - 13)*(a - 2)*(a + 65)
Factor -242*r**2/3 + 45260*r/3 - 374.
-2*(r - 187)*(121*r - 3)/3
Factor 2*o**2/5 - 88108*o/5 + 970377458/5.
2*(o - 22027)**2/5
Find m such that 2*m**5/7 - 4*m**4 - 304*m**3/7 + 60*m**2/7 + 450*m = 0.
-5, 0, 3, 21
Factor 2*g**3 + 38*g**2 - 44*g - 80.
2*(g - 2)*(g + 1)*(g + 20)
Solve -3*o**3/8 - 10713*o**2 - 612183663*o/8 - 612012267/4 = 0.
-14283, -2
Factor h**2/3 + 121*h/3 + 968.
(h + 33)*(h + 88)/3
Suppose y**2 - 127*y + 250 = 0. What is y?
2, 125
Factor -2*z**3/17 - 9994*z**2/17 - 12490000*z/17 - 12480008/17.
-2*(z + 1)*(z + 2498)**2/17
Find f, given that f**4/7 - 3263*f**3/7 + 9780*f**2/7 + 4*f/7 - 13040/7 = 0.
-1, 2, 3260
Factor 5*q**3/2 + 695*q**2/2 + 25795*q/2 + 112225/2.
5*(q + 5)*(q + 67)**2/2
Factor 3*y**2 - 7278*y + 603720.
3*(y - 2340)*(y - 86)
Solve 121*r**3/2 + 319*r**2/10 - 4*r/5 - 8/5 = 0 for r.
-4/11, 1/5
Factor -5*v**3 + 950*v**2 + 4845*v + 5850.
-5*(v - 195)*(v + 2)*(v + 3)
Factor 2*h**3/3 - 8*h**2 - 136*h - 704/3.
2*(h - 22)*(h + 2)*(h + 8)/3
Factor -4*y**2/9 - 100*y + 21736/9.
-4*(y - 22)*(y + 247)/9
Factor 2*p**3/3 + 296150*p**2 - 888452*p/3.
2*p*(p - 1)*(p + 444226)/3
Factor z**4/2 + 491*z**3/2 - 1747*z**2 - 1992*z.
z*(z - 8)*(z + 1)*(z + 498)/2
Suppose 2*z**4/3 + 18*z**3 - 132*z**2 = 0. What is z?
-33, 0, 6
Let 2*d**3/23 + 956*d**2/23 - 958*d/23 = 0. Calculate d.
-479, 0, 1
Factor -3*x**3 + 120639*x**2 - 1212753705*x - 1212874347.
-3*(x - 20107)**2*(x + 1)
Solve -3*j**3 + 12*j**2 + 576*j = 0 for j.
-12, 0, 16
Find m such that -m**3 - 676*m**2 + 9*m + 6084 = 0.
-676, -3, 3
Find h such that -2*h**5/3 - 308*h**4 + 4684*h**3/3 + 2176*h**2 - 4682*h/3 - 1868 = 0.
-467, -1, 1, 6
Solve -4*a**2 + 3036*a + 359008 = 0 for a.
-104, 863
Suppose 10*m**2 - 2573325*m - 1286665 = 0. Calculate m.
-1/2, 257333
Factor 5*n**2 - 36305*n - 145300.
5*(n - 7265)*(n + 4)
Factor 4*h**2/3 + 5009776*h/3 + 1568615973136/3.
4*(h + 626222)**2/3
Determine f, given that -15*f**4 + 3624*f**3 - 238494*f**2 + 2323920*f - 1309275 = 0.
3/5, 11, 115
Let a**4/6 + 5*a**3 + 98*a**2/3 + 76*a + 176/3 = 0. Calculate a.
-22, -4, -2
Determine s, given that -3*s**2 - 426*s + 24552 = 0.
-186, 44
Factor 2*v**2/5 - 942302*v/5 - 942304/5.
2*(v - 471152)*(v + 1)/5
Factor -196*u**3 + 3342220*u**2 - 3819488*u + 1091264.
-4*(u - 17051)*(7*u - 4)**2
Factor -b**2 - 18950*b - 89775625.
-(b + 9475)**2
Find m such that 3*m**4 + 744237*m**3 - 3*m**2 - 744237*m = 0.
-248079, -1, 0, 1
Factor -32*r**3/9 - 13360*r**2/9 - 1360450*r/9 + 7140250/9.
-2*(r - 5)*(4*r + 845)**2/9
Factor 3*b**3 + 15762*b**2 + 31515*b + 15756.
3*(b + 1)**2*(b + 5252)
Factor 5*v**2 + 10420*v - 20860.
5*(v - 2)*(v + 2086)
Determine a so that -27*a**4 - 31401*a**3 - 31383*a**2 - 10459*a - 1162 = 0.
-1162, -1/3
Factor 4*l**2 + 19632*l + 24088464.
4*(l + 2454)**2
Factor -2*y**3 + 4044*y**2 + 4050*y - 8092.
-2*(y - 2023)*(y - 1)*(y + 2)
Factor 4*a**4 - 596*a**3 + 2828*a**2 + 7460*a + 4032.
4*(a - 144)*(a - 7)*(a + 1)**2
Let -3*x**2 + 52128*x - 226444032 = 0. What is x?
8688
Determine o, given that -o**4/6 - 83*o**3/6 + 1105*o**2/6 - 3301*o/6 + 380 = 0.
-95, 1, 3, 8
Solve -2*q**3/11 + 20874*q**2/11 - 54475920*q/11 + 54455048/11 = 0.
1, 5218
Let -o**5/2 - 1169*o**4/2 + 2345*o**3/2 + 3513*o**2/2 = 0. Calculate o.
-1171, -1, 0, 3
Find c such that c**5 + 166*c**4 + 327*c**3 - 166*c**2 - 328*c = 0.
-164, -2, -1, 0, 1
Suppose 9*t**5/5 - 12*t**4 + 9*t**3 + 54*t**2 - 264*t/5 = 0. What is t?
-2, 0, 1, 11/3, 4
Factor 12*l**2 - 2103*l - 1584.
3*(l - 176)*(4*l + 3)
Solve -2*g**2/5 + 95272*g/5 + 95274/5 = 0 for g.
-1, 47637
Factor -3*x**3/4 + 609*x**2/4 + 3735*x/4 + 5643/4.
-3*(x - 209)*(x + 3)**2/4
Determine p, given that -p**2 + 15101*p + 45312 = 0.
-3, 15104
Solve -3*r**5 - 336*r**4 - 3438*r**3 + 382536*r**2 + 385641*r = 0.
-69, -1, 0, 27
Factor 24642*j**3 + 957486*j**2 + 8803760*j - 9785888.
2*(j - 1)*(111*j + 2212)**2
Let -3*z**3 + 288*z**2 - 5505*z - 5796 = 0. Calculate z.
-1, 28, 69
Factor -3*g**2/5 + 74082*g/5 - 457345227/5.
-3*(g - 12347)**2/5
Find j, given that -2*j**3 + 1298*j**2 - 207318*j - 1069290 = 0.
-5, 327
Suppose -4*j**3 - 1168*j**2 - 9148*j - 17040 = 0. What is j?
-284, -5, -3
Suppose 2*m**5/5 - 176*m**4/15 + 104*m**3/3 + 4*m**2/3 - 526*m/15 + 52/5 = 0. What is m?
-1, 1/3, 1, 3, 26
Find i, given that -5*i**2 - 958880*i - 45972542720 = 0.
-95888
Let -28880*q**2 - 2280*q - 45 = 0. What is q?
-3/76
Factor -r**2 + 460269*r - 460268.
-(r - 460268)*(r - 1)
Find r such that -2*r**4 + 49072*r**3 - 301105774*r**2 + 1203785240*r - 902728536 = 0.
1, 3, 12266
Factor -3*q**4 - 2226*q**3 - 399351*q**2 + 5035212*q - 15349932.
-3*(q - 6)**2*(q + 377)**2
Factor -j**2/4 + 1111*j/2 - 2221/4.
-(j - 2221)*(j - 1)/4
Factor -3*y**3/8 - 8535*y**2/8 + 8553*y - 17118.
-3*(y - 4)**2*(y + 2853)/8
Determine c, given that c**5/2 - 1313*c**4/2 - 9*c**3/2 + 11813*c**2/2 + 2632*c - 7878 = 0.
-2, 1, 3, 1313
Let b**5/6 + 553*b**4/3 - 3344*b**3/3 - 8896*b**2/3 = 0. What is b?
-1112, -2, 0, 8
Factor w**3 + 318*w**2 + 33633*w + 1183316.
(w + 101)**2*(w + 116)
Find i such that 2*i**3/11 + 252*i**2/11 + 294*i - 30184 = 0.
-77, 28
Factor x**2/2 + 152235*x + 23175495225/2.
(x + 152235)**2/2
Suppose -5*b**5/2 + 775*b**4 + 8830*b**3 - 775*b**2 - 17655*b/2 = 0. What is b?
-11, -1, 0, 1, 321
Suppose 3*y**2/8 - 195*y + 50025/2 = 0. Calculate y.
230, 290
Let -n**2/6 - 1490*n - 116051/6 = 0. What is n?
-8927, -13
Factor -n**2 - 331*n - 23968.
-(n + 107)*(n + 224)
Factor 5*m**3 - 50*m**2 - 3685*m - 3630.
5*(m - 33)*(m + 1)*(m + 22)
What is d in d**2/3 - 10203*d = 0?
0, 30609
Factor 2*y**2/13 - 45728*y/13 + 261381248/13.
2*(y - 1143