 = 0.
-36, 0, 5
Factor 5*p**2 - 460*p - 465.
5*(p - 93)*(p + 1)
Factor -w**5/4 - 45*w**4/4 + 49*w**3/4 + 133*w**2/4 - 57*w + 23.
-(w - 1)**3*(w + 2)*(w + 46)/4
Find p, given that -2*p**5/5 + 72*p**4 - 16554*p**3/5 + 31684*p**2/5 = 0.
0, 2, 89
Factor -4*m**2 + 148*m - 1080.
-4*(m - 27)*(m - 10)
Factor -9*r**3 - 480*r**2 - 153*r + 318.
-3*(r + 1)*(r + 53)*(3*r - 2)
Factor -p**3 + 268*p**2 - 17408*p - 73984.
-(p - 136)**2*(p + 4)
Factor 52*f**3 + 12176*f**2 + 1872*f.
4*f*(f + 234)*(13*f + 2)
Solve 3*n**4/4 - 69*n**3/4 - 525*n**2/2 - 639*n + 918 = 0 for n.
-6, 1, 34
Factor 2*t**5/9 + 130*t**4/9 - 266*t**3/9 + 134*t**2/9.
2*t**2*(t - 1)**2*(t + 67)/9
Factor z**3 - 11*z**2 - 18*z + 72.
(z - 12)*(z - 2)*(z + 3)
Find d such that -4*d**2 + 644*d - 1272 = 0.
2, 159
Factor -g**2/7 + 732*g/7 + 315.
-(g - 735)*(g + 3)/7
Find b, given that 9*b**3 - 15*b**2 + 7*b - 1 = 0.
1/3, 1
Find l, given that l**2 + 114*l + 3249 = 0.
-57
Solve -3*v**3/8 - 495*v**2/8 + 252*v - 507/2 = 0.
-169, 2
Solve -3*z**3 - 65*z**2 - 341*z + 121 = 0 for z.
-11, 1/3
Factor -2*x**3 + 19*x**2/2 + 29*x/2 + 3.
-(x - 6)*(x + 1)*(4*x + 1)/2
Suppose 2*c**3 + 4*c**2 - 10*c - 12 = 0. What is c?
-3, -1, 2
Suppose 6655*z**4 + 40535*z**3 + 64350*z**2 - 23660*z - 87880 = 0. Calculate z.
-26/11, 1
Let -x**4 + 29*x**3/4 - 3*x**2/4 - 29*x/4 + 7/4 = 0. What is x?
-1, 1/4, 1, 7
Let 3*g**2 - 21*g - 90 = 0. What is g?
-3, 10
Factor 3*c**3 + 9*c**2 - 27*c + 15.
3*(c - 1)**2*(c + 5)
What is w in 2*w**2/5 - 7*w - 18/5 = 0?
-1/2, 18
Solve -3*i**5/7 + 1599*i**4/7 + 3207*i**3/7 + 1605*i**2/7 = 0 for i.
-1, 0, 535
Solve 20*p**5/9 - 92*p**4/9 - 112*p**3/9 = 0.
-1, 0, 28/5
Factor 2*f**5 + 40*f**4 - 192*f**3 + 32*f**2 + 736*f - 768.
2*(f - 2)**3*(f + 2)*(f + 24)
Factor 2*k**4/15 + 4*k**3 + 506*k**2/15 + 56*k + 392/15.
2*(k + 1)**2*(k + 14)**2/15
Factor -x**2 + 75*x - 756.
-(x - 63)*(x - 12)
Solve 2*f**2/5 + 4*f - 78/5 = 0.
-13, 3
Factor 4*t**2/3 + 11*t/3 - 26.
(t + 6)*(4*t - 13)/3
Suppose -10*r**5/3 + 398*r**4/3 + 1370*r**3/3 + 86*r**2 = 0. What is r?
-3, -1/5, 0, 43
Suppose y**5 - 6*y**4 - y**3 + 6*y**2 = 0. What is y?
-1, 0, 1, 6
What is c in 3*c**3/5 + 18*c**2/5 + 3*c = 0?
-5, -1, 0
Let f**3/3 + 29*f**2 - 454*f/3 + 184 = 0. What is f?
-92, 2, 3
Factor 4*x**4 - 128*x**3 - 3*x**2 + 97*x - 32.
(x - 32)*(x + 1)*(2*x - 1)**2
Solve -5*u**4 - 3465*u**3 + 3470*u**2 = 0.
-694, 0, 1
Solve t**5 - t**4 = 0 for t.
0, 1
Factor -3*k**2/2 - 3*k/2 + 9.
-3*(k - 2)*(k + 3)/2
Factor 12*r**2/5 + 34*r/5 - 6/5.
2*(r + 3)*(6*r - 1)/5
What is p in 3*p**4 + 9*p**3 - 6*p**2 - 36*p - 24 = 0?
-2, -1, 2
Solve -180*i**4 + 564*i**3 - 461*i**2 + 110*i - 8 = 0.
1/6, 4/5, 2
Let -147*v**5/2 + 42*v**4 - 6*v**3 = 0. What is v?
0, 2/7
Determine o so that -8*o**2/11 + 3254*o/11 + 74 = 0.
-1/4, 407
Determine m so that 2*m**4/7 + 148*m**3/7 - 1446*m**2/7 + 3952*m/7 - 2656/7 = 0.
-83, 1, 4
Factor -5*k**4 + 340*k**3 - 1860*k**2.
-5*k**2*(k - 62)*(k - 6)
Factor -45*n**2/2 - 100*n - 40.
-5*(n + 4)*(9*n + 4)/2
Factor -3*u**5/5 + 63*u**4/5 - 222*u**3/5 + 318*u**2/5 - 207*u/5 + 51/5.
-3*(u - 17)*(u - 1)**4/5
Determine r so that -2*r**2 + 320*r - 12800 = 0.
80
Determine w so that 18*w**5 - 40*w**4 - 10*w**3 + 40*w**2 - 8*w = 0.
-1, 0, 2/9, 1, 2
Factor -516*z**3 + 492*z**2 - 105*z - 6.
-3*(2*z - 1)**2*(43*z + 2)
Factor -a**4/3 - a**3/3 + 2*a**2 + 4*a/3 - 8/3.
-(a - 2)*(a - 1)*(a + 2)**2/3
Factor -2*q**5 - 308*q**4 - 16208*q**3 - 311200*q**2 - 1060000*q - 1000000.
-2*(q + 2)**2*(q + 50)**3
Factor -5*s**3 + 45975*s**2 - 140913375*s + 143966498125.
-5*(s - 3065)**3
Let 12*t**5 - 381*t**4 - 108*t**3 + 381*t**2 + 96*t = 0. What is t?
-1, -1/4, 0, 1, 32
Solve -3*m**3/5 + 54*m**2/5 - 177*m/5 + 126/5 = 0.
1, 3, 14
Factor 2*r**4/7 + 528*r**3/7 + 35372*r**2/7 + 69168*r/7 + 34322/7.
2*(r + 1)**2*(r + 131)**2/7
Let 2*p**2/13 + 64*p/13 + 38 = 0. Calculate p.
-19, -13
Factor 3*r**2/2 - 261*r/2.
3*r*(r - 87)/2
Find o such that 4*o**5/3 + 272*o**4 + 17328*o**3 + 259200*o**2 - 5225472*o + 17915904 = 0.
-72, 6
Factor -b**2 + 40*b.
-b*(b - 40)
Factor -9*l**3 + 15*l**2 - 6*l.
-3*l*(l - 1)*(3*l - 2)
Factor 3*n**3 - 14*n**2 + 13*n + 6.
(n - 3)*(n - 2)*(3*n + 1)
Factor 3*r**4 + 3*r**3 - 279*r**2 + 537*r - 264.
3*(r - 8)*(r - 1)**2*(r + 11)
What is h in -2*h**4/13 + 6*h**3/13 + 12*h**2/13 - 16*h/13 = 0?
-2, 0, 1, 4
Factor 25*q**3 - 115*q**2 - 65*q + 75.
5*(q - 5)*(q + 1)*(5*q - 3)
Find g, given that 4*g**5 - 16*g**4 + 4*g**3 + 40*g**2 - 16*g - 32 = 0.
-1, 2
Factor -4*x**4 + 476*x**3 - 14856*x**2 + 41296*x - 26912.
-4*(x - 58)**2*(x - 2)*(x - 1)
What is b in -b**2/2 + 7*b/2 + 319 = 0?
-22, 29
Let -5*s**5 + 75*s**4 - 290*s**3 + 420*s**2 - 200*s = 0. What is s?
0, 1, 2, 10
Factor -m**2/3 + 2150*m/3 - 1155625/3.
-(m - 1075)**2/3
Let 4*c**2 - 36*c - 40 = 0. Calculate c.
-1, 10
Determine h so that h**5 + 35*h**4 + 432*h**3 + 2124*h**2 + 2592*h - 5184 = 0.
-12, -6, 1
Factor -3*n**2/4 - 1647*n/4 + 1653/2.
-3*(n - 2)*(n + 551)/4
Find z, given that 2*z**2 + 96*z + 1152 = 0.
-24
What is o in o**4/8 - 17*o**3/4 + 229*o**2/8 - 141*o/2 + 117/2 = 0?
2, 3, 26
What is w in 5*w**2 - 45*w - 50 = 0?
-1, 10
Factor w**3 + 136*w**2 + 1285*w + 3150.
(w + 5)**2*(w + 126)
Suppose -4*r**3/3 - 60*r**2 + 256*r - 784/3 = 0. Calculate r.
-49, 2
Factor -27*t**3 + 327*t**2/2 - 252*t + 27/2.
-3*(t - 3)**2*(18*t - 1)/2
Factor -4*c**2/5 - 928*c - 4636/5.
-4*(c + 1)*(c + 1159)/5
Determine h, given that 5*h**2 - 620*h = 0.
0, 124
Factor 4*m**2 + 256*m + 252.
4*(m + 1)*(m + 63)
Let 10*g**2 - 195*g - 100 = 0. Calculate g.
-1/2, 20
Find t, given that 2*t**3/9 + 16*t**2/9 - 40*t/9 = 0.
-10, 0, 2
Factor w**3/4 + 22*w**2 + 173*w/4 + 43/2.
(w + 1)**2*(w + 86)/4
Factor 4*h**3 - 84*h**2 - 88*h.
4*h*(h - 22)*(h + 1)
Determine s, given that -7*s**5/2 + 117*s**4/2 + 587*s**3/2 + 879*s**2/2 + 250*s + 42 = 0.
-2, -1, -2/7, 21
Factor 4*h**5 - 3068*h**4 + 592876*h**3 - 1760260*h**2 + 1754144*h - 583696.
4*(h - 382)**2*(h - 1)**3
Factor 3*u**4 + 1872*u**3 + 293898*u**2 + 582192*u + 290163.
3*(u + 1)**2*(u + 311)**2
Suppose -2*y**2/3 + 140*y/3 - 46 = 0. What is y?
1, 69
Determine v so that -4*v**4 - 32*v**3 - 72*v**2 + 108 = 0.
-3, 1
Determine r, given that -45*r**2 + 87*r + 6 = 0.
-1/15, 2
Factor -162*a**4 - 576*a**3 - 368*a**2 + 256*a - 32.
-2*(a + 2)**2*(9*a - 2)**2
Find x, given that x**4 + 2*x**3 - x**2 - 2*x = 0.
-2, -1, 0, 1
Factor x**3/8 + 9*x**2/8 - 3*x/2 - 5/2.
(x - 2)*(x + 1)*(x + 10)/8
Determine l, given that 69*l**3 + 312*l**2 = 0.
-104/23, 0
Factor 2*p**4/11 + 78*p**3/11 + 222*p**2/11 + 218*p/11 + 72/11.
2*(p + 1)**3*(p + 36)/11
Find c such that 5*c**2 - 3365*c - 10140 = 0.
-3, 676
Factor x**4 - 173*x**3 + 848*x**2 - 1348*x + 672.
(x - 168)*(x - 2)**2*(x - 1)
What is q in 2*q**4 - 16*q**3 + 28*q**2 + 16*q - 30 = 0?
-1, 1, 3, 5
Solve -c**5 - 27*c**4 - 152*c**3 = 0.
-19, -8, 0
Suppose -4*m**2 - 236*m + 1008 = 0. Calculate m.
-63, 4
Determine z so that -4*z**5 + 236*z**4 - 4028*z**3 + 16324*z**2 - 24192*z + 11664 = 0.
1, 2, 27
Suppose -2*x**2/5 - 1332*x/5 - 2656/5 = 0. What is x?
-664, -2
Factor 4*o**4 + 44*o**3 - 184*o**2 - 224*o.
4*o*(o - 4)*(o + 1)*(o + 14)
Find x such that 5*x**2 - 130*x - 135 = 0.
-1, 27
Solve -5*a**4/2 + 3*a**3/2 + 21*a**2 - 22*a - 12 = 0 for a.
-3, -2/5, 2
Factor 4*z**2 + 296*z + 576.
4*(z + 2)*(z + 72)
Suppose 5*i**3 + 113*i**2 - 46*i = 0. What is i?
-23, 0, 2/5
Factor 5*z**3 - 35*z**2 - 280*z + 660.
5*(z - 11)*(z - 2)*(z + 6)
Suppose 2*r**2/9 + 28*r/9 + 22/3 = 0. Calculate r.
-11, -3
Factor 2*d**2/13 + 1050*d/13.
2*d*(d + 525)/13
Factor -5*a**3 - 5*a**2 + 45*a + 45.
-5*(a - 3)*(a + 1)*(a + 3)
Find r, given that 3*r**3 + 24*r**2 - 525*r - 1122 = 0.
-17, -2, 11
Suppose -2*z**4/3 - 14*z**3/3 + 2*z**2 + 46*z/3 + 28/3 = 0. Calculate z.
-7, -1, 2
Factor -i**2/6 + 23*i/3 - 15/2.
-(i - 45)*(i - 1)/6
Factor 3*i**4/7 + 1572*i**3/7 - 3153*i**2/7 + 1578*i/7.
3*i*(i - 1)**2*(i + 526)/7
Solve -2*s**2/11 + 9388*s/11 - 11016818/11 = 0 for s.
2347
Let -4*x**2 - 74*x - 36 = 0. What is x?
-18, -1/2
Solve 315*d**5 + 825*d**4 + 140*d**3 - 720*d**2 - 480*d - 80 = 0 for d.
-2, -2/3, -2/7, 1
Factor 2*f**4/7 - 4*f**3 + 14*f**2.
2*f**2*(f - 7)**2/7
Factor -t**3/5 + 13*t**2/5 - 52*t/5 + 12.
-(t - 6)*(t - 5)*(t - 2)/5
Find c such that 2*c**5/3 + 8*c**4 + 106*c**3/3 + 68*c**2 + 48*c = 0.
-4, -3, -2, 0
Find j, given that 4*j**3