 4795/4
Determine w so that -w**3/4 + 1889*w**2/4 - 5636*w + 9385 = 0.
2, 10, 1877
Solve -5*c**3 - 380*c**2 - 375*c = 0 for c.
-75, -1, 0
Factor q**3/7 - 15*q**2/7 - 850*q.
q*(q - 85)*(q + 70)/7
Factor -3*a**2/7 - 15174*a/7 + 121584/7.
-3*(a - 8)*(a + 5066)/7
Suppose -2*p**4/9 - 98*p**3/3 - 10354*p**2/9 + 11050*p/3 - 2500 = 0. Calculate p.
-75, 1, 2
Factor b**2 + 56444*b - 56445.
(b - 1)*(b + 56445)
Factor -3*t**2/2 + 2964*t - 87570.
-3*(t - 1946)*(t - 30)/2
What is f in -f**3/3 - 2048*f**2/3 - 24252*f - 217296 = 0?
-2012, -18
Factor -4*x**3 + 7840*x**2 - 23492*x + 15656.
-4*(x - 1957)*(x - 2)*(x - 1)
Solve -230*r**2/11 - 404568*r/11 + 3518/11 = 0 for r.
-1759, 1/115
Factor -2595*i**3 - 4190*i**2 - 595*i + 1000.
-5*(i + 1)**2*(519*i - 200)
Factor 5*j**3 + 2580*j**2 + 368145*j + 8857350.
5*(j + 30)*(j + 243)**2
Factor 2*n**4 - 8392*n**3 - 75690*n**2.
2*n**2*(n - 4205)*(n + 9)
What is g in 35*g**3 + 93180*g**2 - 440105*g - 133350 = 0?
-2667, -2/7, 5
Solve -2*m**2/19 + 202*m/19 - 2856/19 = 0 for m.
17, 84
Determine h so that 5*h**2/4 - 555*h/2 + 1090 = 0.
4, 218
Let 2*r**2/3 + 24322*r/3 - 8108 = 0. What is r?
-12162, 1
Factor d**2/3 - 7201*d/3 - 7202/3.
(d - 7202)*(d + 1)/3
Factor -6*a**2/11 - 912*a + 50310/11.
-6*(a - 5)*(a + 1677)/11
Determine j so that 4*j**4 + 232*j**3 - 156*j**2 - 9328*j - 16240 = 0.
-58, -5, -2, 7
Determine t so that 3*t**2 + 7470*t - 466833 = 0.
-2551, 61
Find m such that 4*m**5 + 148*m**4 - 5160*m**3 - 317000*m**2 - 4737500*m - 19687500 = 0.
-25, -7, 45
Factor -4*s**3 + 14400*s**2 - 12931152*s - 51955264.
-4*(s - 1802)**2*(s + 4)
Let 4*m**3 - 1996*m**2 - 66944*m - 543744 = 0. What is m?
-16, 531
Let 10*v**2 - 272*v + 768 = 0. Calculate v.
16/5, 24
Determine w so that w**3 + 68*w**2 - 993*w - 77220 = 0.
-65, -36, 33
Factor 2*d**2 - 56590*d - 396228.
2*(d - 28302)*(d + 7)
Factor g**3/11 - 9596*g**2/11 + 458880*g/11 - 499968.
(g - 9548)*(g - 24)**2/11
Factor 2*y**4 + 402*y**3 - 4178*y**2 + 8862*y.
2*y*(y - 7)*(y - 3)*(y + 211)
Factor -q**2 - 167*q - 1570.
-(q + 10)*(q + 157)
Determine k so that -22*k**4 - 4094*k**3 - 20272*k**2 = 0.
-181, -56/11, 0
Solve -3*p**4 - 168*p**3 - 3447*p**2 - 30810*p - 101400 = 0.
-20, -13, -10
Factor s**4 + 4366*s**3 + 4734829*s**2 - 66930780*s + 235008900.
(s - 7)**2*(s + 2190)**2
Factor v**2/3 + 897*v - 21592/3.
(v - 8)*(v + 2699)/3
Solve 4*c**2 + 946616*c + 56005115716 = 0.
-118327
Suppose 2*a**3 + 348842*a**2 - 2790832*a + 5581728 = 0. Calculate a.
-174429, 4
Factor -5*q**2 - 3089815*q - 6179610.
-5*(q + 2)*(q + 617961)
Let -729*a**4 + 2904*a**3 + 3693*a**2 + 60*a = 0. What is a?
-1, -4/243, 0, 5
What is n in n**3 - 8940*n**2 + 35747*n - 26808 = 0?
1, 3, 8936
Find u such that -4*u**4 - 148*u**3 + 160*u**2 + 304*u = 0.
-38, -1, 0, 2
Find m, given that -50*m**4 - 7220*m**3 - 262082*m**2 - 103968*m - 10368 = 0.
-72, -1/5
Let 493*k**2/2 - 20460*k + 83/2 = 0. Calculate k.
1/493, 83
Determine d, given that -d**5/4 - 113*d**4 - 1766*d**3 - 9640*d**2 - 20964*d - 15696 = 0.
-436, -6, -2
Determine x, given that -x**2/3 - 7698*x - 44444403 = 0.
-11547
Determine z, given that -z**4/9 + 1054*z**3/9 - 293825*z**2/9 + 8355872*z/9 = 0.
0, 32, 511
Determine a, given that -4*a**4/3 + 44*a**3/3 + 16*a**2 = 0.
-1, 0, 12
Solve -2*p**3/9 - 1150*p**2/3 - 4592*p/3 - 13768/9 = 0 for p.
-1721, -2
Solve 2*c**2/5 - 3593*c/5 - 1797/5 = 0 for c.
-1/2, 1797
Factor 5*x**2 + 420*x - 2700.
5*(x - 6)*(x + 90)
Find g, given that -2*g**3 + 1716*g**2 - 6832*g = 0.
0, 4, 854
Let 8*n**5 + 29466*n**4 + 95710*n**3 + 110414*n**2 + 51522*n + 7360 = 0. What is n?
-3680, -1, -1/4
Let 3*y**5/7 + 404939*y**4/7 + 18219600394*y**3/7 + 273259590389370*y**2/7 + 26019228239797*y - 455412408073285/7 = 0. Calculate y.
-44993, -5/3, 1
Find j, given that -20*j**4 - 63636*j**3 + 382104*j**2/5 + 458384*j/5 + 101856/5 = 0.
-3183, -2/5, 2
Factor 5*t**2 - 53490*t - 107000.
5*(t - 10700)*(t + 2)
Solve -10*x**2/3 - 4168*x/3 - 423016/3 = 0 for x.
-242, -874/5
Determine i so that -2*i**2/3 - 3680*i/3 - 7352/3 = 0.
-1838, -2
What is z in -z**4/4 - 193*z**3 + 1556*z**2 - 3120*z = 0?
-780, 0, 4
Factor -t**3 - 44*t**2 - 476*t - 784.
-(t + 2)*(t + 14)*(t + 28)
Factor 2*r**3/15 + 1184*r**2/15 - 2374*r/15 + 396/5.
2*(r - 1)**2*(r + 594)/15
Let -14*u**4/11 + 188*u**3/11 - 778*u**2/11 + 1084*u/11 - 336/11 = 0. What is u?
3/7, 2, 4, 7
Factor 11*m**2 + 664*m + 8645.
(m + 19)*(11*m + 455)
Factor 82*p**2 - 2532*p + 4466.
2*(p - 29)*(41*p - 77)
What is l in -l**4/3 - 7*l**3/3 + 8*l**2 + 112*l/3 - 128/3 = 0?
-8, -4, 1, 4
Factor 2*l**3 - 2306*l**2 - 11572*l - 9264.
2*(l - 1158)*(l + 1)*(l + 4)
Let -3*u**3/4 + 42141*u**2/2 + 421635*u + 2108550 = 0. Calculate u.
-10, 28114
What is c in 5134*c**2/9 - 32516*c/3 + 38/9 = 0?
1/2567, 19
Factor -j**3 - 26*j**2 + 1637*j + 45510.
-(j - 41)*(j + 30)*(j + 37)
Factor 3*p**4/7 + 2901*p**3.
3*p**3*(p + 6769)/7
Let -10*h**3 - 1216*h**2 + 21038*h - 8220 = 0. What is h?
-137, 2/5, 15
Factor -3*x**3 + 522*x**2 - 13635*x + 97200.
-3*(x - 144)*(x - 15)**2
Find r such that 18*r**3/5 + 57948*r**2/5 + 15448*r + 25744/5 = 0.
-3218, -2/3
Factor -x**3 - 82888*x**2 - 1717688021*x - 3435044498.
-(x + 2)*(x + 41443)**2
Factor 2*m**2 + 3794*m - 7596.
2*(m - 2)*(m + 1899)
Factor m**4 - 241*m**3 + 5347*m**2 + 11421*m + 5832.
(m - 216)*(m - 27)*(m + 1)**2
Find v such that -v**2 - 827*v + 224030 = 0.
-1042, 215
Factor -p**5 + 56*p**4 - 444*p**3 + 1006*p**2 - 899*p + 282.
-(p - 47)*(p - 6)*(p - 1)**3
Let 3*c**5 + 61098*c**4 + 312178287*c**3 + 11179101060*c**2 + 100434062700*c = 0. Calculate c.
-10165, -18, 0
Let -d**4/5 + 39*d**3/5 - 498*d**2/5 + 2368*d/5 - 3744/5 = 0. Calculate d.
4, 13, 18
Suppose 3*j**5 - 996*j**4 + 93756*j**3 - 1840608*j**2 + 10245312*j = 0. Calculate j.
0, 12, 154
Suppose 5*y**3 - 5690*y**2 + 17025*y = 0. Calculate y.
0, 3, 1135
Determine g, given that -40610*g**3/3 + 1949284*g**2/3 - 7797184*g + 768 = 0.
2/20305, 24
Factor -s**5/4 - 3*s**4 - 14*s**3 - 63*s**2/2 - 135*s/4 - 27/2.
-(s + 1)*(s + 2)*(s + 3)**3/4
Factor 5*h**2 + 360140*h + 6485040980.
5*(h + 36014)**2
Determine g so that -9*g**4 - 3999*g**3/5 - 73176*g**2/5 + 9828*g/5 = 0.
-63, -26, 0, 2/15
Solve 3*c**5/5 + 4908*c**4/5 - 19809*c**3/5 - 211278*c**2/5 + 462336*c/5 - 47232 = 0 for c.
-1640, -6, 1, 8
Factor -3*k**2 + 447318*k - 447315.
-3*(k - 149105)*(k - 1)
Factor 5*g**3 + 485*g**2 + 2320*g + 1840.
5*(g + 1)*(g + 4)*(g + 92)
Let 5*j**5 - 85*j**4 - 1290*j**3 + 24640*j**2 - 43520*j = 0. Calculate j.
-17, 0, 2, 16
Factor -2*l**2/15 + 194*l/15 - 364/5.
-2*(l - 91)*(l - 6)/15
Determine x, given that 195*x**5 + 475*x**4 - 185*x**3 - 895*x**2 - 310*x + 120 = 0.
-2, -1, 3/13, 4/3
Solve -18*u**4/7 + 170*u**3/7 + 188*u**2/7 = 0.
-1, 0, 94/9
Find c such that 2*c**2/9 + 3584*c/9 = 0.
-1792, 0
Find q such that -152*q**2 + 264482*q/3 - 1160/3 = 0.
1/228, 580
Let 2*m**5/5 - 16*m**4/5 - 402*m**3/5 - 344*m**2/5 + 152*m = 0. Calculate m.
-10, -2, 0, 1, 19
Suppose 2*q**4 - 712*q**3/3 - 962*q**2/3 + 236*q/3 + 160 = 0. Calculate q.
-1, 2/3, 120
What is d in -3*d**2 - 7434*d + 7437 = 0?
-2479, 1
Factor 5*m**3/4 - 3130*m**2 - 31425*m.
5*m*(m - 2514)*(m + 10)/4
Factor -31*k**3/2 + 2669*k**2/8 - 8955*k/4 + 35397/8.
-(k - 9)**2*(124*k - 437)/8
Find k, given that 876*k**2/7 + 292581*k/7 - 1002/7 = 0.
-334, 1/292
What is j in 2*j**5/3 + 356*j**4/3 - 992*j**3 = 0?
-186, 0, 8
Factor 3*a**2/5 + 4197*a/5 - 8454.
3*(a - 10)*(a + 1409)/5
Let 22*j**4/3 - 58*j**3 - 1624*j**2/3 - 1128*j - 672 = 0. What is j?
-3, -2, -12/11, 14
Solve -9*s**5 - 174*s**4 + 4388*s**3 + 37422*s**2 + 71269*s = 0 for s.
-31, -11/3, 0, 19
Determine j, given that 2*j**3 - 3906*j**2 + 2375472*j - 424224616 = 0.
317, 818
Factor 5*m**3/2 - 45555*m**2/2 + 68315*m - 45540.
5*(m - 9108)*(m - 2)*(m - 1)/2
Factor 2*f**2 + 12096*f - 12098.
2*(f - 1)*(f + 6049)
What is k in -3*k**2/4 - 1365*k/4 - 1353 = 0?
-451, -4
Let -4*k**2 - 14152*k = 0. What is k?
-3538, 0
Solve -l**5/4 - 2*l**4 - 21*l**3/4 - 7*l**2/2 + 5*l + 6 = 0 for l.
-3, -2, 1
Factor 2*f**3 + 22*f**2 - 13552*f.
2*f*(f - 77)*(f + 88)
Let -3*b**5/8 - 1433*b**4/8 + 959*b**3/4 + 477*b**2/4 - 1915*b/8 + 479/8 = 0. Calculate b.
-479, -1, 1/3, 1
Let g**5/6 - 749*g**4/2 + 1261123*g**3/6 + 424873*g**2/2 - 3161812*g/3 + 631688 = 0. Calculate g.
-3, 1, 1124
Determine p so that 2*p**5/11 + 610*