1*m**2/8 - 79*m/8 + 13/4 = 0. Calculate m.
1, 26
Let -14*a**3/5 + 152*a**2 + 554*a/5 - 44 = 0. What is a?
-1, 2/7, 55
Factor 7*l**4/4 + 5*l**3/4 - 37*l**2/4 + 31*l/4 - 3/2.
(l - 1)**2*(l + 3)*(7*l - 2)/4
Factor -i**3/3 + 37*i**2/3 - 55*i/3 - 175.
-(i - 35)*(i - 5)*(i + 3)/3
Factor 10*i**2/7 - 1156*i/7 - 464/7.
2*(i - 116)*(5*i + 2)/7
Factor -r**4/6 + 11*r**3 - 363*r**2/2.
-r**2*(r - 33)**2/6
Let -2*q**4/5 - 94*q**3/5 + 612*q**2/5 - 1256*q/5 + 848/5 = 0. What is q?
-53, 2
Factor 3*l**3/2 + 11169*l**2 + 27721458*l + 22934886252.
3*(l + 2482)**3/2
Find f such that f**3/4 + 15*f**2/4 - 19*f = 0.
-19, 0, 4
Factor 2*n**2 - 374*n.
2*n*(n - 187)
Find a such that 2*a**2 - 1300*a + 1298 = 0.
1, 649
Factor n**5 + 17*n**4 + 79*n**3 + 155*n**2 + 136*n + 44.
(n + 1)**2*(n + 2)**2*(n + 11)
Find u, given that 5*u**3 - 10890*u**2 - 21795*u - 10900 = 0.
-1, 2180
Factor -2*s**2/13 + 420*s/13 - 22050/13.
-2*(s - 105)**2/13
Solve 5*n**4 + n**3 - 15*n**2 + 7*n + 2 = 0.
-2, -1/5, 1
Factor -4*o**4 - 116*o**3 - 476*o**2 + 5780*o.
-4*o*(o - 5)*(o + 17)**2
Suppose -5*h**2 - 2380*h + 12025 = 0. What is h?
-481, 5
Suppose -25*i**3 + 540*i**2 - 2580*i - 1120 = 0. Calculate i.
-2/5, 8, 14
Factor 2*p**5/15 - 2*p**4/5 + 2*p**3/5 - 2*p**2/15.
2*p**2*(p - 1)**3/15
Factor -3*g**2 + 18*g - 15.
-3*(g - 5)*(g - 1)
Factor 4*f**5/7 - 240*f**4/7 + 3352*f**3/7 + 7440*f**2/7 + 3844*f/7.
4*f*(f - 31)**2*(f + 1)**2/7
Factor 4*j**4 - 16*j**3 + 20*j**2 - 8*j.
4*j*(j - 2)*(j - 1)**2
Let 3*s**4 + 39*s**3 + 162*s**2 + 276*s + 168 = 0. What is s?
-7, -2
Find r, given that 2*r**4/7 - 46*r**3/7 + 160*r**2/7 - 152*r/7 = 0.
0, 2, 19
Find i such that 3*i**3 - 84*i**2 + 528*i - 960 = 0.
4, 20
Suppose t**2 + 232*t - 2169 = 0. What is t?
-241, 9
Factor 5*b**2 + 3020*b + 456020.
5*(b + 302)**2
Factor -10*k**3 + 3478*k**2 + 4186*k + 698.
-2*(k - 349)*(k + 1)*(5*k + 1)
Factor p**2/6 + 13*p/6 + 2.
(p + 1)*(p + 12)/6
Solve 2*p**5/3 - 86*p**4/3 - 370*p**3/3 - 290*p**2/3 + 368*p/3 + 376/3 = 0.
-2, -1, 1, 47
Suppose 2*m**3 - 10*m**2 - 64*m - 72 = 0. Calculate m.
-2, 9
Find b such that b**5 - 14*b**4 + 53*b**3 - 40*b**2 = 0.
0, 1, 5, 8
Let 4*h**3 - 12*h**2 - 4*h + 12 = 0. What is h?
-1, 1, 3
Factor 2*w**3/5 - 1028*w**2/5 + 1022*w/5 + 2052/5.
2*(w - 513)*(w - 2)*(w + 1)/5
Factor 2*o**4/9 + 26*o**3/3 - 82*o**2/3 + 250*o/9 - 28/3.
2*(o - 1)**3*(o + 42)/9
Factor 2*r**2/19 + 18*r/19 - 104/19.
2*(r - 4)*(r + 13)/19
Find h such that -3*h**3 + 108*h**2 + 468*h + 480 = 0.
-2, 40
Determine j, given that -127*j**2/4 - 31*j + 3/4 = 0.
-1, 3/127
Factor c**3 - 45*c**2 + 44*c.
c*(c - 44)*(c - 1)
Factor -75*c**5/4 + 135*c**4/2 + 117*c**3/4 + 3*c**2.
-3*c**2*(c - 4)*(5*c + 1)**2/4
Suppose -21*m**5 + 61*m**4/2 + 196*m**3 + 82*m**2 - 40*m = 0. What is m?
-2, -5/6, 0, 2/7, 4
Determine t, given that 3*t**4/2 + 147*t**3 + 3744*t**2 + 6912*t = 0.
-48, -2, 0
Solve 4*c**3 - 628*c**2 - 1272*c = 0 for c.
-2, 0, 159
Factor -5*o**2 - 525*o - 520.
-5*(o + 1)*(o + 104)
Factor 4*v**3 + 705*v**2 + 876*v + 175.
(v + 1)*(v + 175)*(4*v + 1)
Solve -5*h**5 - 6210*h**4 - 2564710*h**3 - 349629200*h**2 + 1066933875*h - 714733750 = 0.
-415, 1, 2
Solve -2*n**2/17 + 232*n/17 - 6728/17 = 0.
58
What is f in -4*f**4 - 612*f**3 - 604*f**2 + 612*f + 608 = 0?
-152, -1, 1
Factor -2*n**2/13 - 96*n/13 - 1152/13.
-2*(n + 24)**2/13
Factor 2*c**4/7 + 262*c**3/7.
2*c**3*(c + 131)/7
Suppose 72*o**5 - 164*o**4 + 32*o**3 + 16*o**2 = 0. What is o?
-2/9, 0, 1/2, 2
Solve -2*d**2/7 - 12*d/7 - 10/7 = 0.
-5, -1
Suppose -4*r**5 + 40*r**4 + 24*r**3 - 448*r**2 - 788*r - 360 = 0. What is r?
-2, -1, 5, 9
Solve u**3/8 - 5*u**2/4 + 7*u/8 + 9/4 = 0.
-1, 2, 9
Suppose 35*h**4/2 - 11885*h**3/4 + 16255*h**2/2 + 9215*h/4 - 2505/2 = 0. What is h?
-1/2, 2/7, 3, 167
Let 3*l**4 - 9*l**3 - 72*l**2 + 240*l = 0. What is l?
-5, 0, 4
Find k, given that 2*k**2/11 - 72*k/11 + 70/11 = 0.
1, 35
Let -17*f**2/4 + 35*f/2 - 2 = 0. What is f?
2/17, 4
Factor z**3/9 + 367*z**2/9 - z/9 - 367/9.
(z - 1)*(z + 1)*(z + 367)/9
Factor -s**2/4 + 78*s + 313/4.
-(s - 313)*(s + 1)/4
Factor -4*l**2/13 + 22*l/13 + 42/13.
-2*(l - 7)*(2*l + 3)/13
Determine o so that 4*o**4 - 32*o**3 + 8*o**2 + 128*o + 84 = 0.
-1, 3, 7
Factor n**2 + 9*n + 8.
(n + 1)*(n + 8)
Determine x so that 2*x**4 - 40*x**3 + 252*x**2 - 392*x - 686 = 0.
-1, 7
Factor g**2/6 + 4*g - 697/6.
(g - 17)*(g + 41)/6
Factor -d**3 - 29*d**2 + 128*d - 132.
-(d - 2)**2*(d + 33)
Suppose -10*c**3/7 + 36*c**2/7 + 66*c/7 + 20/7 = 0. Calculate c.
-1, -2/5, 5
Factor d**5/3 - 74*d**4/3 + 1918*d**3/3 - 19136*d**2/3 + 38617*d/3 + 170338/3.
(d - 23)**3*(d - 7)*(d + 2)/3
Let -32*m**5 + 12432*m**4 - 1198050*m**3 - 1836904*m**2 + 1142310*m - 152100 = 0. Calculate m.
-2, 1/4, 195
Factor -4*j**4/3 + 4*j**3/3 + 8*j**2.
-4*j**2*(j - 3)*(j + 2)/3
Suppose 75*g**5 + 8385*g**4 + 257097*g**3 + 1255047*g**2 + 882768*g + 168540 = 0. What is g?
-53, -5, -2/5
Determine q, given that 5*q**4 - 45*q**2 + 20*q + 60 = 0.
-3, -1, 2
Factor -3*p**4 + 474*p**3 - 2295*p**2.
-3*p**2*(p - 153)*(p - 5)
Determine d, given that -d**2 - 304*d + 921 = 0.
-307, 3
Factor -2*i**3 - 32*i**2 + 72*i.
-2*i*(i - 2)*(i + 18)
Let -t**4/2 + 20*t**3 - 219*t**2 + 380*t - 361/2 = 0. Calculate t.
1, 19
Factor -2*b**5 + 18*b**4 + 368*b**3 + 1408*b**2 + 768*b - 2560.
-2*(b - 20)*(b - 1)*(b + 4)**3
Factor -3*q**3/7 - 3834*q**2/7 - 1221120*q/7 + 2457600/7.
-3*(q - 2)*(q + 640)**2/7
Solve -j**3/2 - 55*j**2/2 - 364*j + 392 = 0 for j.
-28, 1
Determine w so that -196*w**2/3 + 2408*w/3 - 7396/3 = 0.
43/7
What is m in -m**5/2 + 18*m**4 - 89*m**3/2 - 177*m**2 + 396*m = 0?
-3, 0, 2, 4, 33
Factor 500*q**4 - 2100*q**3 + 2040*q**2 - 752*q + 96.
4*(q - 3)*(5*q - 2)**3
Factor 17*p**2/2 - 53*p + 12.
(p - 6)*(17*p - 4)/2
Factor -4*z**4 - 20*z**3 + 188*z**2 - 156*z - 360.
-4*(z - 3)**2*(z + 1)*(z + 10)
Factor -2*d**3/7 + 162*d**2/7 - 624*d/7 + 88.
-2*(d - 77)*(d - 2)**2/7
Find g, given that -2*g**2/7 - 18*g/7 - 36/7 = 0.
-6, -3
Suppose 2*r**3/5 - 394*r**2/5 + 19206*r/5 + 19602/5 = 0. What is r?
-1, 99
Factor 136161*l**2/4 + 1845*l + 25.
(369*l + 10)**2/4
What is q in -q**2/4 + 37*q/2 + 75/4 = 0?
-1, 75
Factor -7*l**3 + 129*l**2 + 76*l.
-l*(l - 19)*(7*l + 4)
Factor k**2 - 1603*k/4 - 401/4.
(k - 401)*(4*k + 1)/4
Factor 2*c**2/3 + 64*c/3 + 40.
2*(c + 2)*(c + 30)/3
Factor -3*r**2 + 9*r + 12.
-3*(r - 4)*(r + 1)
What is r in -10*r**4 - 15*r**3 + 5*r = 0?
-1, 0, 1/2
Solve 3*o**3 + 771*o**2 + 46728*o - 365904 = 0.
-132, 7
Solve -a**5/7 + 17*a**4/7 + 12*a**3/7 - 188*a**2/7 - 272*a/7 = 0 for a.
-2, 0, 4, 17
Let -g**3/6 + 37*g**2/2 - 1369*g/2 + 50653/6 = 0. Calculate g.
37
Suppose 10*f**2/7 - 18*f/7 - 4/7 = 0. Calculate f.
-1/5, 2
Factor k**3/2 + 265*k**2/3 + 1208*k/3 + 688/3.
(k + 4)*(k + 172)*(3*k + 2)/6
Factor -3*t**4/5 + 711*t**3/5 - 56169*t**2/5 + 1479117*t/5.
-3*t*(t - 79)**3/5
Let -3*c**2/8 + 102*c - 4005/8 = 0. What is c?
5, 267
Find v such that -v**5/7 + 6*v**4/7 - 12*v**3/7 + 10*v**2/7 - 3*v/7 = 0.
0, 1, 3
Find d, given that -2*d**2 - 144*d + 3240 = 0.
-90, 18
Factor 20*a**4 + 368*a**3 + 132*a**2 - 216*a.
4*a*(a + 1)*(a + 18)*(5*a - 3)
Solve -2*n**2/13 + 6*n + 164/13 = 0 for n.
-2, 41
Factor v**4/4 - 19*v**3 + 32*v**2 + 364*v + 444.
(v - 74)*(v - 6)*(v + 2)**2/4
Determine p, given that 3*p**4/4 + 9*p**3/2 - 39*p**2/4 - 63*p/2 = 0.
-7, -2, 0, 3
Factor 2*p**3/13 - 188*p**2/13 + 4928*p/13 - 23232/13.
2*(p - 44)**2*(p - 6)/13
Factor 4*y**3 + 2964*y**2 + 553500*y + 1633932.
4*(y + 3)*(y + 369)**2
Suppose -2*v**5/7 - 6*v**4/7 + 10*v**3/7 + 6*v**2/7 - 8*v/7 = 0. What is v?
-4, -1, 0, 1
What is h in 5*h**3 + 920*h**2 + 1825*h + 910 = 0?
-182, -1
Let 15*y**4/2 + 320*y**3 + 1015*y**2/2 - 205*y = 0. What is y?
-41, -2, 0, 1/3
Factor 2*m**3 + 148*m**2 + 690*m.
2*m*(m + 5)*(m + 69)
Suppose -p**4/5 - 7*p**3 - 258*p**2/5 - 128*p - 416/5 = 0. What is p?
-26, -4, -1
Factor -4*q**5 - 796*q**4 - 52248*q**3 - 1092904*q**2 + 2567708*q + 3609156.
-4*(q - 3)*(q + 1)*(q + 67)**3
Factor 3*b**2/5 + 33*b/5 + 54/5.
3*(b + 2)*(b + 9)/5
Factor -2*o**4 - 294*o**3 - 1716*o**2 - 3400*o - 2256.
-2*(o + 2)**3*(o + 141)
Solve 4*p**3 + 68*p**2 + 160*p - 624 = 0.
-13, -6, 2
Factor -5*t**2 - 112*t - 44.
-(t + 22)*(5*t + 2)
Determine i so that 2*i**4/7 + 1544*i**3/7 + 446988*i**2/7 + 57512456*i/7 + 2774976002/7 = 0.
-193
What is g in g**5/5 + 3*g**4/5 - 3*g**3/5 - 7*g**2/5 + 6*g