35*k**4 + 37*k**3 - 35*k**2 - 36*k = 0. What is k?
-1, 0, 1, 36
Find s such that -28*s**3 + 76*s**2 - 40*s = 0.
0, 5/7, 2
Determine i so that 2*i**4 + 26*i**3 - 36*i**2 - 104*i + 112 = 0.
-14, -2, 1, 2
Factor 5*r**2 - 195*r.
5*r*(r - 39)
Factor 2*a**2/11 - 2732*a/11 + 932978/11.
2*(a - 683)**2/11
Suppose 2*r**3/13 + 8*r**2/13 - 14*r/13 - 20/13 = 0. What is r?
-5, -1, 2
Factor 2*w**3/7 + 6*w**2/7 - 36*w/7.
2*w*(w - 3)*(w + 6)/7
Let -3*z**2 + 186*z - 183 = 0. Calculate z.
1, 61
Let 4*w**4 - 462*w**3 + 13224*w**2 + 6728*w = 0. Calculate w.
-1/2, 0, 58
Factor -2*v**4 - 244*v**3/3 + 1000*v**2/9 - 112*v/3.
-2*v*(v + 42)*(3*v - 2)**2/9
Factor -243*v**2 + 8856*v - 80688.
-3*(9*v - 164)**2
Let 4*j**5/3 - 40*j**4/3 - 356*j**3/3 - 472*j**2/3 + 352*j/3 + 512/3 = 0. Calculate j.
-4, -2, -1, 1, 16
Determine d, given that 22*d**2/25 - 84*d/25 - 16/25 = 0.
-2/11, 4
Suppose -3*z**3 + 1179*z**2 + 2367*z + 1185 = 0. What is z?
-1, 395
Determine v, given that -2*v**5 + 54*v**4 - 438*v**3 + 1010*v**2 - 912*v + 288 = 0.
1, 12
Solve 4*b**3/3 + 4192*b**2/3 + 16720*b/3 + 5568 = 0 for b.
-1044, -2
Find y, given that -y**2 - 81*y + 82 = 0.
-82, 1
Find m such that -14*m**3/15 - 108*m**2/5 - 34*m/15 + 92/5 = 0.
-23, -1, 6/7
Let 348*x**2 - 7052*x - 488 = 0. What is x?
-2/29, 61/3
Suppose 4*d**2 - 2104*d - 2108 = 0. Calculate d.
-1, 527
Find j, given that 5*j**4 - 15*j**3 - 45*j**2 - 25*j = 0.
-1, 0, 5
What is n in -n**5/4 - 23*n**4/4 - 149*n**3/4 - 337*n**2/4 - 105*n/2 = 0?
-14, -5, -3, -1, 0
Suppose 3*s**4 - 12*s**3 + 15*s**2 - 6*s = 0. Calculate s.
0, 1, 2
Factor 2*h**4/3 + 58*h**3/3 - 28*h**2 - 240*h.
2*h*(h - 4)*(h + 3)*(h + 30)/3
Solve w**2/6 + 169*w/3 + 28561/6 = 0 for w.
-169
Solve 3*v**3 + 27*v**2 + 81*v + 81 = 0.
-3
Determine t so that -2*t**2 + 245*t/3 + 375 = 0.
-25/6, 45
Solve -d**3 - d**2 + 6*d = 0 for d.
-3, 0, 2
Factor -15*p**4 + 50*p**3 + 40*p**2.
-5*p**2*(p - 4)*(3*p + 2)
Factor -2*t**2 + 90*t.
-2*t*(t - 45)
Suppose y**2/4 + 1511*y/2 + 2283121/4 = 0. Calculate y.
-1511
Factor z**2/8 - 61*z/2 + 243/8.
(z - 243)*(z - 1)/8
Determine i, given that -i**2/3 + i + 10/3 = 0.
-2, 5
Solve 3*c**3 - 60*c**2 + 99*c + 162 = 0 for c.
-1, 3, 18
Factor -3*k**4 + 1340*k**3 + 1796*k**2 - 1792*k.
-k*(k - 448)*(k + 2)*(3*k - 2)
Determine j, given that -82*j**2 - 90*j - 8 = 0.
-1, -4/41
Solve -4*s**3 - 144*s**2 - 272*s = 0 for s.
-34, -2, 0
Suppose 4*d**4 + 72*d**3 + 292*d**2 + 432*d + 208 = 0. What is d?
-13, -2, -1
Factor -5*z**2 - 50*z + 195.
-5*(z - 3)*(z + 13)
Factor -u**3/2 + 583*u**2/2 + u/2 - 583/2.
-(u - 583)*(u - 1)*(u + 1)/2
Factor 3*g**2/5 - 1746*g/5 + 254043/5.
3*(g - 291)**2/5
Factor p**4/4 - 69*p**3/4 + 507*p**2/2 - 1256*p + 1632.
(p - 51)*(p - 8)**2*(p - 2)/4
Find a such that -35*a**5 + 10*a**4 + 35*a**3 - 10*a**2 = 0.
-1, 0, 2/7, 1
Factor -52*b**2 - 3944*b + 608.
-4*(b + 76)*(13*b - 2)
Let -2*w**5 - 14*w**4 + 16*w**3 = 0. What is w?
-8, 0, 1
Factor 3*j**3/8 + 27*j**2/4 + 36*j + 60.
3*(j + 4)**2*(j + 10)/8
Find m such that 3*m**3 - 72*m**2 + 249*m - 180 = 0.
1, 3, 20
Factor -1536*q**2 - 2016*q - 1323/2.
-3*(32*q + 21)**2/2
Let 5*k**4 + 920*k**3 + 12915*k**2 + 40240*k - 54080 = 0. Calculate k.
-169, -8, 1
Find j such that -5*j**2 + 775*j - 770 = 0.
1, 154
Suppose -2*s**5/3 - 2*s**4/3 + 10*s**3/3 - 2*s**2 = 0. What is s?
-3, 0, 1
Factor 2*x**3/15 + 172*x**2/15 - 70*x/3 + 176/15.
2*(x - 1)**2*(x + 88)/15
Suppose -a**4/11 + 92*a**3/11 + 379*a**2/11 + 478*a/11 + 192/11 = 0. Calculate a.
-2, -1, 96
Suppose -3*k**4/5 + 168*k**3/5 - 2514*k**2/5 + 4536*k/5 - 2187/5 = 0. Calculate k.
1, 27
Let 4*r**2/5 - 36392*r/5 + 82773604/5 = 0. Calculate r.
4549
Find c such that -3*c**4 - 90*c**3 - 309*c**2 + 90*c + 312 = 0.
-26, -4, -1, 1
Factor -3*z**2 - 129*z - 246.
-3*(z + 2)*(z + 41)
Factor 3*x**3/2 + 285*x**2/2 + 6321*x/2 - 21609/2.
3*(x - 3)*(x + 49)**2/2
Let 2*m**4/7 + 8*m**3/7 - 2*m**2 - 20*m/7 = 0. What is m?
-5, -1, 0, 2
Let 5*m**5 + 5*m**4 - 285*m**3 - 725*m**2 + 1000*m = 0. What is m?
-5, 0, 1, 8
Factor 2*r**4 - 14*r**3 - 18*r**2 + 14*r + 16.
2*(r - 8)*(r - 1)*(r + 1)**2
Factor 3*l**2 - 255*l - 258.
3*(l - 86)*(l + 1)
Factor 10*y**2/3 + 122*y/3 - 104/3.
2*(y + 13)*(5*y - 4)/3
Factor -9*d**5/5 + 6*d**4/5.
-3*d**4*(3*d - 2)/5
Let -5*o**2 + 165*o + 350 = 0. Calculate o.
-2, 35
Solve a**4/2 + 471*a**3/2 + 939*a**2/2 + 469*a/2 = 0.
-469, -1, 0
What is r in -2*r**4/3 - 168*r**3 + 1024*r**2 - 6176*r/3 + 1376 = 0?
-258, 2
Factor 2*p**2/13 - 98*p/13 - 424/13.
2*(p - 53)*(p + 4)/13
Determine j so that 14*j**5/5 + 24*j**4/5 - 274*j**3/5 - 36*j**2/5 + 872*j/5 - 48 = 0.
-5, -2, 2/7, 2, 3
Factor 2*x**3/19 - 258*x**2/19 + 1494*x/19 - 2214/19.
2*(x - 123)*(x - 3)**2/19
Find f, given that f**2/4 + 3*f/4 = 0.
-3, 0
Factor i**2/3 - 781*i/3.
i*(i - 781)/3
Find o such that 2*o**4/21 - 2*o**3/21 - 34*o**2/21 - 10*o/7 = 0.
-3, -1, 0, 5
Determine v so that 2*v**2 - 60*v + 288 = 0.
6, 24
Solve t**2/3 + 78*t + 4563 = 0 for t.
-117
Factor 2*i**3/9 + 2*i**2 + 16*i/9.
2*i*(i + 1)*(i + 8)/9
Solve 4*q**5 - 4*q**4 - 12*q**3 + 20*q**2 - 8*q = 0.
-2, 0, 1
Suppose m**5/5 + 374*m**4/5 + 372*m**3/5 - 374*m**2/5 - 373*m/5 = 0. Calculate m.
-373, -1, 0, 1
Find c, given that c**2 - 290*c + 576 = 0.
2, 288
Determine a, given that -9*a**4/4 - 393*a**3/4 + 134*a**2 - 45*a = 0.
-45, 0, 2/3
Factor -2*f**5/7 - 13*f**4/7 - 6*f**3/7.
-f**3*(f + 6)*(2*f + 1)/7
Factor -8*z**3/9 - 5062*z**2/9 - 802640*z/9 - 199712/3.
-2*(z + 316)**2*(4*z + 3)/9
Factor -v**2 + 78*v + 160.
-(v - 80)*(v + 2)
Find m, given that -9*m**4 - 88*m**3 + 29*m**2 + 88*m - 20 = 0.
-10, -1, 2/9, 1
Let -2*f**3/7 + 12*f**2/7 - 10*f/7 - 24/7 = 0. Calculate f.
-1, 3, 4
Let n**4 - 11*n**2 + 18*n - 8 = 0. Calculate n.
-4, 1, 2
Factor 5*v**3 + 55*v**2.
5*v**2*(v + 11)
Factor -2*d**3 - d**2 + 8*d + 4.
-(d - 2)*(d + 2)*(2*d + 1)
Factor t**4/6 - 5*t**3/2 + 6*t**2 + 2*t/3 - 8.
(t - 12)*(t - 2)**2*(t + 1)/6
What is x in -14*x**3/13 - 178*x**2/13 - 116*x/13 + 48/13 = 0?
-12, -1, 2/7
Solve 9*d**5 - 84*d**4 + 163*d**3 - 116*d**2 + 28*d = 0.
0, 2/3, 1, 7
Factor -2*g**3/3 + 86*g**2/3 - 322*g + 294.
-2*(g - 21)**2*(g - 1)/3
Solve 28*v**5/3 - 272*v**4/3 - 92*v**3 + 1736*v**2/3 + 2192*v/3 + 160 = 0 for v.
-2, -1, -2/7, 3, 10
Factor 3*n**2/8 + 15*n/4 + 63/8.
3*(n + 3)*(n + 7)/8
Factor 2*v**4/9 + 14*v**3/3 + 92*v**2/3 + 448*v/9 - 256/3.
2*(v - 1)*(v + 6)*(v + 8)**2/9
Solve -60*v**2 - 784*v - 304 = 0.
-38/3, -2/5
Find u such that -u**3 + 8*u**2 + 12*u - 144 = 0.
-4, 6
Factor k**2/5 - 21*k/5 - 22/5.
(k - 22)*(k + 1)/5
Determine m so that 72*m**4/13 - 1536*m**3/13 + 7370*m**2/13 + 8978*m/13 = 0.
-1, 0, 67/6
Factor -l**2 + 4806*l - 5774409.
-(l - 2403)**2
Suppose -5*a**4 + 10*a**3 + 1815*a**2 - 13320*a - 15120 = 0. What is a?
-21, -1, 12
Find c, given that -21*c**2/4 - 27*c/2 - 6 = 0.
-2, -4/7
Let 2*x**4/9 - 40*x**3/9 + 22*x**2 + 40*x/9 - 200/9 = 0. What is x?
-1, 1, 10
Factor -12*y**4 + 32*y**3 + 20*y**2 - 24*y.
-4*y*(y - 3)*(y + 1)*(3*y - 2)
Factor 6*k**2 + 11*k - 46.
(k - 2)*(6*k + 23)
Solve -v**5/2 - 45*v**4/2 - 216*v**3 + 862*v**2 - 96*v - 1152 = 0.
-24, -1, 2
Find j such that 2*j**3 + 14*j**2 + 16*j - 32 = 0.
-4, 1
Factor 20*q**4 - 1860*q**3 + 53645*q**2 - 483600*q + 1352000.
5*(q - 40)**2*(2*q - 13)**2
Factor -4*s**3 + 396*s**2 + 2080*s.
-4*s*(s - 104)*(s + 5)
Factor -2*l**3/7 - 12*l**2/7 - 18*l/7.
-2*l*(l + 3)**2/7
Let -5*y**2 + 1580*y + 1585 = 0. Calculate y.
-1, 317
Factor 34*c**2 - 88*c + 968/17.
2*(17*c - 22)**2/17
Factor 2*b**4/13 - 50*b**3/13 - 106*b**2/13 - 54*b/13.
2*b*(b - 27)*(b + 1)**2/13
Factor -n**2/3 + 3868*n/3 - 3740356/3.
-(n - 1934)**2/3
Factor -6*g**3/11 - 108*g**2/11 + 240*g/11.
-6*g*(g - 2)*(g + 20)/11
Let -2*j**2/3 - 236*j/3 - 464/3 = 0. What is j?
-116, -2
Determine p so that -3*p**3 + 6*p**2 + 432*p - 864 = 0.
-12, 2, 12
Determine x, given that -2*x**2/3 + 142*x/3 + 292/3 = 0.
-2, 73
Solve 4*b**3 - 120*b**2 = 0.
0, 30
Factor -4*k**3 + 8*k**2 + 52*k + 40.
-4*(k - 5)*(k + 1)*(k + 2)
Solve 2*o**4/13 + 42*o**3/13 - 198*o**2/13 + 62*o/13 + 300/13 = 0.
-25, -1, 2, 3
Determine z, given that z**3/5 + 74*z**2/5 + 1209*z/5 - 6084/5 = 0.
-39, 4
Determine k so that 44*k**5 - 752*k**4 + 4640*k**3 - 12672*k**2 + 15552*k - 6912 = 0.
12/11, 2, 6
Factor -2*o**3/17 + 2*o**2/17 + 2*o/17 - 2/17.
-2*(o - 1)**2*(o + 1)/17
Let -c**3/4 + 22*c**2 + 89*c/4 = 0. Calcul