50 = 0?
-1, 10
Factor 3*f**5/4 + 57*f**4/4 + 105*f**3/4 + 51*f**2/4.
3*f**2*(f + 1)**2*(f + 17)/4
Find m, given that 5*m**3 - 65*m**2 - 525*m - 855 = 0.
-3, 19
Suppose 5*k**5 + 90*k**4 + 545*k**3 + 1260*k**2 + 980*k = 0. What is k?
-7, -2, 0
Let -28*s**5 + 328*s**4 - 44*s**3 - 1888*s**2 - 528*s = 0. Calculate s.
-2, -2/7, 0, 3, 11
Determine z, given that 4*z**3/9 + 752*z**2/9 + 12028*z/3 + 7688 = 0.
-93, -2
Solve -3*r**3/2 + 123*r**2/2 + 1272*r + 5472 = 0.
-8, 57
Let -2*r**5/11 - 72*r**4/11 - 320*r**3/11 - 300*r**2/11 + 322*r/11 + 372/11 = 0. What is r?
-31, -3, -2, -1, 1
Factor a**5/10 - 2*a**4/5 + a**3/10 + a**2 - 2*a/5 - 4/5.
(a - 2)**3*(a + 1)**2/10
Suppose 5*t**5 + 155*t**4 - 1085*t**3 + 925*t**2 = 0. Calculate t.
-37, 0, 1, 5
Factor -5*l**3 + 1875*l**2 + 20*l - 7500.
-5*(l - 375)*(l - 2)*(l + 2)
Suppose -z**3 - 468*z**2 + z + 468 = 0. Calculate z.
-468, -1, 1
Factor 2*y**5/11 + 652*y**4/11 + 52482*y**3/11 - 106928*y**2/11 + 53792*y/11.
2*y*(y - 1)**2*(y + 164)**2/11
Let -2*v**5/13 + 20*v**4/13 + 76*v**3/13 + 32*v**2/13 - 74*v/13 - 4 = 0. Calculate v.
-2, -1, 1, 13
Factor 3*t**2/7 + 27*t/7 - 156/7.
3*(t - 4)*(t + 13)/7
Factor a**3/2 + a**2/2 - 2*a - 2.
(a - 2)*(a + 1)*(a + 2)/2
Factor 95*p**4 + 295*p**3 + 315*p**2 + 125*p + 10.
5*(p + 1)**3*(19*p + 2)
Factor 2*q**2 + 21972*q + 60346098.
2*(q + 5493)**2
Factor -2*f**2/23 - 2748*f/23 - 943938/23.
-2*(f + 687)**2/23
Determine i so that -i**2/3 - 2546*i/3 + 849 = 0.
-2547, 1
Factor -14*f**3/5 - 92*f**2/5 - 126*f/5 + 72/5.
-2*(f + 3)*(f + 4)*(7*f - 3)/5
Suppose -2*a**3/7 + 3320*a**2/7 - 1377800*a/7 = 0. What is a?
0, 830
Solve -2*o**5 + 252*o**4 - 244*o**3 - 752*o**2 + 246*o + 500 = 0.
-1, 1, 2, 125
Suppose -12*y**4/7 + 160*y**3/7 + 188*y**2/7 - 1088*y/7 + 48 = 0. Calculate y.
-3, 1/3, 2, 14
Find b, given that -11664000*b**4 + 11858400*b**3 - 195480*b**2 + 1082*b - 2 = 0.
1/180, 1
What is w in -w**5 - 20*w**4 + 117*w**3 - 196*w**2 + 100*w = 0?
-25, 0, 1, 2
Let -5*l**3 - 250*l**2 - 2995*l + 3250 = 0. What is l?
-26, -25, 1
Solve -6*g**4 + 10*g**3 + 82*g**2 + 86*g + 20 = 0.
-2, -1, -1/3, 5
Suppose k**3/5 + 9*k**2/5 + 8*k/5 = 0. Calculate k.
-8, -1, 0
Factor -4*p**3 - 292*p**2 - 768*p + 5040.
-4*(p - 3)*(p + 6)*(p + 70)
Solve -3*k**5/4 + 15*k**4/4 - 9*k**3/4 - 15*k**2/4 + 3*k = 0.
-1, 0, 1, 4
Factor 2*r**2 - 6*r - 308.
2*(r - 14)*(r + 11)
Suppose 15*j**3 - 260*j**2 - 815*j + 300 = 0. Calculate j.
-3, 1/3, 20
Suppose -7*a**2/9 - 89*a/9 + 26/9 = 0. What is a?
-13, 2/7
Suppose 2*u**5/3 + 10*u**4/9 - 190*u**3/9 - 130*u**2/9 + 424*u/9 - 40/3 = 0. What is u?
-6, -2, 1/3, 1, 5
Determine o, given that -3*o**4/4 - 6*o**3 - 15*o**2 - 12*o = 0.
-4, -2, 0
Find l, given that -2*l**4/5 + 26*l**3/5 - 22*l**2/5 - 26*l/5 + 24/5 = 0.
-1, 1, 12
Suppose 4*o**2 - 6672*o = 0. Calculate o.
0, 1668
Factor -4*z**3/3 + 52*z**2/3 - 92*z/3 + 44/3.
-4*(z - 11)*(z - 1)**2/3
Factor 2*o**4/11 + 14*o**3/11 - 34*o**2/11 + 18*o/11.
2*o*(o - 1)**2*(o + 9)/11
Let -5*w**3 + 145*w**2 + 1480*w = 0. What is w?
-8, 0, 37
Find c, given that -c**2/4 - 1203*c/4 - 601/2 = 0.
-1202, -1
Solve 4*b**5/5 + 44*b**4/5 + 172*b**3/5 + 308*b**2/5 + 256*b/5 + 16 = 0 for b.
-5, -2, -1
Factor x**3/5 + 39*x**2/5 + 144*x/5 + 28.
(x + 2)**2*(x + 35)/5
Factor -j**2/4 - 66*j - 1799/4.
-(j + 7)*(j + 257)/4
Factor -3*t**4 + 504*t**3 - 25218*t**2 + 340200*t - 1366875.
-3*(t - 75)**2*(t - 9)**2
Find a such that 5*a**2 + 45*a - 180 = 0.
-12, 3
Let 2*f**2/3 + 836*f/3 + 87362/3 = 0. What is f?
-209
Determine q so that 6*q**5/7 - 60*q**4/7 - 18*q**3/7 + 24*q**2 + 120*q/7 = 0.
-1, 0, 2, 10
Factor 4*d**4 + 200*d**3.
4*d**3*(d + 50)
Solve -15533151*w**4 + 449922657*w**3 + 15616710*w**2 + 180588*w + 696 = 0 for w.
-2/173, 29
Factor 5*y**4 - 10705*y**3 + 7636230*y**2 - 1812324780*y - 1819971720.
5*(y - 714)**3*(y + 1)
Determine k, given that 4*k**2 - 40*k + 36 = 0.
1, 9
Let -35*c**3/3 - 8555*c**2 + 6120*c + 7340/3 = 0. What is c?
-734, -2/7, 1
Factor -5*j**3 - 10620*j**2.
-5*j**2*(j + 2124)
What is m in 2*m**2/11 - 14*m - 156/11 = 0?
-1, 78
Suppose -t**5 + 9*t**4 - 31*t**3 + 51*t**2 - 40*t + 12 = 0. What is t?
1, 2, 3
Factor -4*k**2 - 232*k - 3364.
-4*(k + 29)**2
Let -56*f**2/15 - 694*f/3 + 124/15 = 0. What is f?
-62, 1/28
Factor 2*w**3 - 26*w**2 - 76*w + 240.
2*(w - 15)*(w - 2)*(w + 4)
Factor 2*n**5/11 - 16*n**4/11 + 36*n**3/11 - 32*n**2/11 + 10*n/11.
2*n*(n - 5)*(n - 1)**3/11
Determine y so that -8*y**4 - 116*y**3 - 84*y**2 + 3348*y + 4860 = 0.
-9, -3/2, 5
Factor -93*j**2 + 459*j + 30.
-3*(j - 5)*(31*j + 2)
Factor 3*t**4 + 93*t**3 - 3*t**2 - 93*t.
3*t*(t - 1)*(t + 1)*(t + 31)
Factor 1030*g**2/9 - 4*g/9.
2*g*(515*g - 2)/9
Factor -4*t**3 + 136*t**2 - 124*t - 264.
-4*(t - 33)*(t - 2)*(t + 1)
Find f such that -4*f**2 - 38*f + 666 = 0.
-37/2, 9
Factor w**4/3 - 17*w**3/3 + 68*w**2/3 - 100*w/3 + 16.
(w - 12)*(w - 2)**2*(w - 1)/3
Solve -2*f**3/9 - 340*f**2/9 = 0 for f.
-170, 0
Suppose 5*l**5 + 45*l**4 + 130*l**3 + 90*l**2 - 135*l - 135 = 0. Calculate l.
-3, -1, 1
Factor -a**5 + 73*a**4 - 7201*a**3/4 + 15570*a**2 - 14256*a + 3456.
-(a - 24)**3*(2*a - 1)**2/4
Solve 10*r**3/7 + 102*r**2/7 - 208*r/7 + 96/7 = 0.
-12, 4/5, 1
Find m such that -4*m**3 - 152*m**2 + 2256*m - 7200 = 0.
-50, 6
Factor -2*o**2/5 - 22*o + 112/5.
-2*(o - 1)*(o + 56)/5
Let r**2/6 - 119*r/6 + 59/3 = 0. What is r?
1, 118
Find k, given that -1250*k**3 - 2800*k**2 - 618*k - 36 = 0.
-2, -3/25
Determine f, given that 5*f**4 + 10*f**3 - 120*f**2 = 0.
-6, 0, 4
Factor -4*t**3/5 - 3588*t**2/5 - 161280*t - 802816/5.
-4*(t + 1)*(t + 448)**2/5
Factor -m**5/4 + 99*m**4/2 + 199*m**3/4.
-m**3*(m - 199)*(m + 1)/4
Factor 3*f**2 + 6*f.
3*f*(f + 2)
Suppose j**4 + 83*j**3 - 432*j**2 + 700*j - 352 = 0. What is j?
-88, 1, 2
Find u, given that u**4/5 + 47*u**3/5 + 708*u**2/5 + 3132*u/5 - 3888/5 = 0.
-18, -12, 1
Solve 2*o**3/9 + 10*o**2/3 + 14*o + 98/9 = 0 for o.
-7, -1
Factor 2*m**3 + 494*m**2 + 31232*m + 89304.
2*(m + 3)*(m + 122)**2
Factor -21*a**3 + 384*a**2 - 1473*a + 390.
-3*(a - 13)*(a - 5)*(7*a - 2)
Find u such that u**5 - 4*u**4 + u**3 + 6*u**2 = 0.
-1, 0, 2, 3
Solve 4*c**4/3 + 32*c**3 + 88*c**2 - 7744*c/3 - 15972 = 0 for c.
-11, 9
Let -11*r**3 + 210*r**2 - 217*r + 18 = 0. What is r?
1/11, 1, 18
Solve -2*l**5/7 + 2*l**4 + 2*l**3/7 - 2*l**2 = 0.
-1, 0, 1, 7
Factor i**2/4 + 11*i/4 + 15/2.
(i + 5)*(i + 6)/4
Find g, given that -5*g**3 + 10*g**2 + 75*g - 180 = 0.
-4, 3
Determine w, given that 14*w**4/9 + 2*w**3/3 - 22*w**2/9 - 2*w/3 + 8/9 = 0.
-1, 4/7, 1
Find u, given that 12*u**3 - 2684*u**2 - 896*u = 0.
-1/3, 0, 224
Let 4*o**2 - 20*o + 24 = 0. Calculate o.
2, 3
Factor b**2/7 - 317*b/7 + 1252/7.
(b - 313)*(b - 4)/7
Factor 3*d**2 - 13170*d + 14454075.
3*(d - 2195)**2
Suppose -3*j**5 - 168*j**4 - 3504*j**3 - 33024*j**2 - 135168*j - 196608 = 0. What is j?
-16, -4
What is r in -r**2/4 - 259*r/4 + 65 = 0?
-260, 1
Factor 3*d**4 - 141*d**3 + 1725*d**2 - 1587*d.
3*d*(d - 23)**2*(d - 1)
Factor 3*b**3 - 90*b**2 + 144*b + 672.
3*(b - 28)*(b - 4)*(b + 2)
Determine v so that -2*v**3/3 + 136*v**2/3 - 3050*v/3 + 7500 = 0.
18, 25
Factor -2*z**3/3 - 116*z**2/3 + 118*z/3.
-2*z*(z - 1)*(z + 59)/3
Find n, given that 20*n**3 - 444*n**2 + 2508*n - 484 = 0.
1/5, 11
Determine c, given that 18*c**2/5 + 408*c/5 + 2312/5 = 0.
-34/3
Factor 2*g**3 + 646*g**2 + 49136*g - 496008.
2*(g - 9)*(g + 166)**2
Solve 16*p**5/3 + 36*p**4 + 76*p**3 + 128*p**2/3 - 16*p = 0 for p.
-3, -2, 0, 1/4
Factor 5*h**3 - 1715*h**2 + 3410*h.
5*h*(h - 341)*(h - 2)
Determine h, given that -56*h**5 - 222*h**4 - 44*h**3 + 354*h**2 - 8*h - 24 = 0.
-3, -2, -1/4, 2/7, 1
Find n such that -2*n**2/7 + 124*n/7 - 122/7 = 0.
1, 61
Find f such that 3*f**2/4 + 12576*f + 52718592 = 0.
-8384
Factor -8*m**2/5 + 68*m/5 + 36/5.
-4*(m - 9)*(2*m + 1)/5
Factor -f**4/7 - 34*f**3/7 - 373*f**2/7 - 204*f - 252.
-(f + 3)**2*(f + 14)**2/7
Suppose l**2/3 + 2*l - 7/3 = 0. Calculate l.
-7, 1
Suppose -n**4/3 + 34*n**3/3 - 19*n**2 - 220*n/3 - 128/3 = 0. What is n?
-1, 4, 32
Suppose -3*c**2 + 346*c + 232 = 0. What is c?
-2/3, 116
Factor 3*c**3 + 5*c**2 + 2*c.
c*(c + 1)*(3*c + 2)
Factor -4*z**2 - 18168*z - 20629764.
-4*(z + 2271)**2
Suppose 4*v**3/5 + 276*v**2/5 + 424*v - 480 = 0. What is v?
-60, -10, 1
Factor -2*z**2 - 28*z + 240.
-2*(z - 6)*(z + 20)
Find n, given that 2*n**5/3 - 22*n**4/3 - 48*n**3 + 120*n**2 = 0