- 78*q**3/7 + 323*q**2/7 - 408*q/7 + 164/7.
-(q - 2)*(q - 1)**2*(q + 82)/7
Factor -2*j**3/9 + 56*j**2/9 + 58*j/9.
-2*j*(j - 29)*(j + 1)/9
Factor -4*r**2 + 16428*r - 16424.
-4*(r - 4106)*(r - 1)
Factor -5*q**3 - 40*q**2 + 175*q + 1470.
-5*(q - 6)*(q + 7)**2
Suppose 14*z**4 + 32*z**3 + 22*z**2 + 4*z = 0. Calculate z.
-1, -2/7, 0
Factor -5*l**3 - 25*l**2 - 30*l.
-5*l*(l + 2)*(l + 3)
What is w in 3*w**4 + 3*w**3 - 105*w**2 - 387*w - 378 = 0?
-3, -2, 7
Find f such that -f**2/2 - 182*f - 363/2 = 0.
-363, -1
Factor -58*u**2/13 + 108*u/13 + 16/13.
-2*(u - 2)*(29*u + 4)/13
Let 2*p**3 - 6*p**2 + 4*p = 0. Calculate p.
0, 1, 2
Factor 2*d**5/9 - 74*d**4/3 + 2162*d**3/3 - 18146*d**2/9 + 1968*d - 648.
2*(d - 54)**2*(d - 1)**3/9
Factor 23716*u**2/3 - 1232*u/3 + 16/3.
4*(77*u - 2)**2/3
Solve 135*z**5 - 2211*z**4 + 744*z**3 + 1140*z**2 + 192*z = 0 for z.
-2/5, -2/9, 0, 1, 16
Factor 5*n**4/6 - 11*n**3/3 + 23*n**2/6 - n.
n*(n - 3)*(n - 1)*(5*n - 2)/6
Suppose 3*n**4 - 54*n**3 + 51*n**2 = 0. What is n?
0, 1, 17
Suppose k**3/3 + 196*k**2/3 + 65*k = 0. What is k?
-195, -1, 0
Find l, given that 2*l**3/5 - 38*l**2 + 728*l/5 = 0.
0, 4, 91
What is f in 4*f**3 + 616*f**2 + 612*f = 0?
-153, -1, 0
Factor 7*l**2/8 - 3635*l/8 + 519/4.
(l - 519)*(7*l - 2)/8
Determine d, given that -5*d**4 + 85*d**3 + 285*d**2 + 295*d + 100 = 0.
-1, 20
Determine a, given that 2*a**2 - 4792*a - 4794 = 0.
-1, 2397
Factor -5*n**2 - 8400*n - 3528000.
-5*(n + 840)**2
Suppose -16*z**5 - 356*z**4 - 2344*z**3 - 4084*z**2 - 2480*z - 400 = 0. Calculate z.
-10, -1, -1/4
Factor 4*w**3 - 84*w**2 + 576*w - 1280.
4*(w - 8)**2*(w - 5)
Let k**5/4 - 33*k**4/4 + 63*k**3/4 - 31*k**2/4 = 0. Calculate k.
0, 1, 31
Let 1235*w**2 - 20*w = 0. What is w?
0, 4/247
Determine l, given that -l**2/2 + 101*l - 10201/2 = 0.
101
Determine y, given that -2*y**3 + 12*y**2 - 64 = 0.
-2, 4
Factor -z**2/6 - 42*z - 2646.
-(z + 126)**2/6
Factor -2*g**4/17 - 424*g**3/17 - 1672*g**2/17 - 1664*g/17.
-2*g*(g + 2)**2*(g + 208)/17
Let -2*x**3/7 + 114*x**2/7 - 432*x/7 + 424/7 = 0. Calculate x.
2, 53
Suppose -2*i**4 + 122*i**2 + 360*i = 0. What is i?
-5, -4, 0, 9
Factor 5*c**5 - 50*c**4 + 120*c**3 + 160*c**2 - 640*c.
5*c*(c - 4)**3*(c + 2)
Determine t so that -2229*t**3/5 + 4456*t**2/5 - 445*t - 2/5 = 0.
-2/2229, 1
Factor 2*q**3/5 + 1372*q**2/5.
2*q**2*(q + 686)/5
Determine x so that -x**3/3 - x**2/3 + 2*x/3 = 0.
-2, 0, 1
What is n in 18*n**2/5 + 1588*n/5 + 352/5 = 0?
-88, -2/9
Find s, given that -s**5 - 17*s**4 - 54*s**3 - 22*s**2 + 55*s + 39 = 0.
-13, -3, -1, 1
Factor 3*t**2 - 984*t + 80688.
3*(t - 164)**2
Suppose -2*d**4/5 - 216*d**3/5 - 8748*d**2/5 - 157464*d/5 - 1062882/5 = 0. Calculate d.
-27
Factor -12675*f**2 - 7410*f - 1083.
-3*(65*f + 19)**2
Factor -2*g**2/3 - 2*g/3 + 4/3.
-2*(g - 1)*(g + 2)/3
Factor -m**2/6 + 3*m + 21/2.
-(m - 21)*(m + 3)/6
Let 2*h**3 - 4*h**2 - 8*h + 16 = 0. Calculate h.
-2, 2
Factor -2*h**3/7 - 46*h**2/7 - 12*h.
-2*h*(h + 2)*(h + 21)/7
Factor 1715*z**4 - 70805*z**3 + 89145*z**2 - 37935*z + 5400.
5*(z - 40)*(7*z - 3)**3
Determine k so that -3*k**5/5 - 11*k**4/5 - 11*k**3/5 - k**2/5 + 2*k/5 = 0.
-2, -1, 0, 1/3
Factor 9*z**4 - 48*z**3 - 36*z**2 + 288*z + 192.
3*(z - 4)**2*(z + 2)*(3*z + 2)
Solve n**5 + 4*n**4 + 6*n**3 + 4*n**2 + n = 0 for n.
-1, 0
Let -a**4/3 + 52*a**3/3 + 220*a**2/3 + 224*a/3 = 0. What is a?
-2, 0, 56
Factor 3*d**2/5 - 21*d/5 + 6.
3*(d - 5)*(d - 2)/5
Factor 564*x**2 - 434*x/5 - 6/5.
2*(6*x - 1)*(235*x + 3)/5
Suppose -l**3/8 + 2*l**2 + 35*l/8 + 9/4 = 0. Calculate l.
-1, 18
Factor -2*q**2 - 3576*q - 1598472.
-2*(q + 894)**2
Let -5*p**5 + 1025*p**4 - 53030*p**3 + 49980*p**2 + 104040*p = 0. Calculate p.
-1, 0, 2, 102
Factor 4*q**3 - 10520*q**2 + 6916900*q.
4*q*(q - 1315)**2
Suppose 14*w**2/17 + 1068*w/17 + 304/17 = 0. What is w?
-76, -2/7
What is i in 2*i**2/5 - 24*i/5 + 22/5 = 0?
1, 11
Factor 3*s**4/4 + 4359*s**3/2 + 1585584*s**2 + 3162456*s.
3*s*(s + 2)*(s + 1452)**2/4
Suppose 2*k**2/23 - 58*k/23 = 0. Calculate k.
0, 29
Suppose 2*k**5/3 - 2*k**4 - 406*k**3/3 - 382*k**2 - 748*k/3 = 0. Calculate k.
-11, -2, -1, 0, 17
Factor 8*i**4 - 4*i**3 + i**2/2.
i**2*(4*i - 1)**2/2
Find z, given that z**5/3 - 119*z**4/3 + 679*z**3/3 - 89*z**2/3 - 2696*z/3 - 1808/3 = 0.
-1, 4, 113
Factor m**5/4 - 19*m**4/2 + 106*m**3 - 140*m**2 - 2156*m - 2744.
(m - 14)**3*(m + 2)**2/4
Determine o, given that -4*o**2 + 84*o - 216 = 0.
3, 18
Determine x, given that 1119364*x**4 - 389344*x**3 + 50784*x**2 - 2944*x + 64 = 0.
2/23
Factor -4*f**5/9 - 12*f**4 - 32*f**3.
-4*f**3*(f + 3)*(f + 24)/9
Factor -3*d**4 + 5454*d**3 - 3299652*d**2 + 660997506*d + 2012836887.
-3*(d - 607)**3*(d + 3)
What is l in 2*l**3 + 30*l**2 - 2*l - 990 = 0?
-11, -9, 5
Factor -d**5 - 232*d**4 + 1419*d**3 - 2142*d**2.
-d**2*(d - 3)**2*(d + 238)
Find w such that w**4 - 27*w**3 + 117*w**2 - 157*w + 66 = 0.
1, 3, 22
Let i**2 - 12*i - 405 = 0. What is i?
-15, 27
Factor v**2 - 18*v + 17.
(v - 17)*(v - 1)
Factor -125*w**4 - 26975*w**3 - 21520*w**2 - 4300*w.
-5*w*(w + 215)*(5*w + 2)**2
Factor -4*c**4 + 176*c**3 - 500*c**2 + 328*c.
-4*c*(c - 41)*(c - 2)*(c - 1)
Determine w so that -2*w**3/5 + 106*w**2/5 + 218*w/5 + 22 = 0.
-1, 55
Let 2*c**4/3 - 2840*c**3/3 - 2844*c**2 - 8536*c/3 - 2846/3 = 0. What is c?
-1, 1423
Factor r**2/8 - 5*r/4 + 9/8.
(r - 9)*(r - 1)/8
Factor -1058*g**4/5 + 184*g**3/5 - 8*g**2/5.
-2*g**2*(23*g - 2)**2/5
Factor -5*h**2 - 12820*h - 8217620.
-5*(h + 1282)**2
Solve -4*o**4 - 28*o**3 - 44*o**2 - 20*o = 0.
-5, -1, 0
Determine m, given that 29645*m**3 + 22715*m**2 - 6525*m + 405 = 0.
-1, 9/77
Suppose 4*v**2 - 72*v - 460 = 0. What is v?
-5, 23
Find c such that -c**4/3 - 356*c**3/3 - 29854*c**2/3 + 108580*c - 279075 = 0.
-183, 5
Suppose 4*s**3 + 340*s**2 + 7708*s + 20172 = 0. What is s?
-41, -3
Find j, given that -12*j**4 + 28*j**3 + 24*j**2 = 0.
-2/3, 0, 3
Find z, given that 191363765*z**4 - 3407070*z**3 + 20220*z**2 - 40*z = 0.
0, 2/337
Factor -2*t**5/3 - 1160*t**4/3 - 269120*t**3/3 - 31217920*t**2/3 - 1810639360*t/3 - 42006833152/3.
-2*(t + 116)**5/3
Find s, given that 105*s**4 + 2592*s**3 - 885*s**2 - 1512*s - 300 = 0.
-25, -2/5, -2/7, 1
Factor 2*b**3/9 + 4*b**2/3 + 10*b/9 - 8/3.
2*(b - 1)*(b + 3)*(b + 4)/9
Suppose 4*b**5 + 952*b**4 + 74880*b**3 + 1894400*b**2 - 4096000*b = 0. What is b?
-80, 0, 2
Find a such that -4*a**3/7 + 3132*a**2/7 - 817452*a/7 + 71118324/7 = 0.
261
Suppose -m**2 + 223*m - 442 = 0. What is m?
2, 221
Factor 4*d**2 - 208*d + 2704.
4*(d - 26)**2
Factor -2*u**2/3 + 90*u - 264.
-2*(u - 132)*(u - 3)/3
Determine y, given that -106*y**3/5 + 94*y**2/5 + 224*y/5 + 24/5 = 0.
-1, -6/53, 2
Determine v, given that -2*v**3/9 - 20*v**2/3 = 0.
-30, 0
Factor -2*n**4 - 8*n**3 + 12*n**2 + 8*n - 10.
-2*(n - 1)**2*(n + 1)*(n + 5)
Factor -3*t**2 - 228*t - 225.
-3*(t + 1)*(t + 75)
What is n in -2*n**3/5 - 132*n**2/5 - 504*n/5 - 496/5 = 0?
-62, -2
Factor -5*h**5 + 15*h**4 - 20*h**2.
-5*h**2*(h - 2)**2*(h + 1)
Factor 5*u**2 + 785*u - 790.
5*(u - 1)*(u + 158)
Factor 2*i**5/5 - 66*i**4/5 + 126*i**3/5 - 62*i**2/5.
2*i**2*(i - 31)*(i - 1)**2/5
Solve -14*k**4/5 - 254*k**3/15 + 4388*k**2/15 - 3976*k/15 + 784/15 = 0 for k.
-14, 2/7, 2/3, 7
Suppose 5*f**3/6 + 8*f**2/3 + 13*f/6 + 1/3 = 0. Calculate f.
-2, -1, -1/5
Factor 3*p**2 - 102*p + 99.
3*(p - 33)*(p - 1)
Factor 3*n**3/4 - 21*n**2/2.
3*n**2*(n - 14)/4
Factor f**3/7 - 16*f**2/7 + 4*f.
f*(f - 14)*(f - 2)/7
Solve -2*g**2 - 8*g = 0 for g.
-4, 0
Let 8*v**5/3 + 46*v**4/3 - 12*v**3 - 154*v**2/3 - 56*v/3 + 8 = 0. Calculate v.
-6, -1, 1/4, 2
Find z, given that 12*z**2 + 70712*z - 23572 = 0.
-5893, 1/3
Factor g**2/3 - 18*g + 243.
(g - 27)**2/3
Solve -6*c**4 - 4*c**3 + 6*c**2 + 4*c = 0 for c.
-1, -2/3, 0, 1
Suppose -l**3 - 11*l**2 + 26*l = 0. What is l?
-13, 0, 2
Suppose h**4 + 118*h**3 + 2184*h**2 + 14602*h + 33271 = 0. Calculate h.
-97, -7
Factor -2*m**2/7 + 34*m/7 - 104/7.
-2*(m - 13)*(m - 4)/7
Factor 2*n**5 - 6*n**4 + 6*n**3 - 2*n**2.
2*n**2*(n - 1)**3
Suppose -15*r**4 - 3385*r**3/3 - 19555*r**2 + 64155*r + 15210 = 0. What is r?
-39, -2/9, 3
What is r in -2*r**3/3 - 1556*r**2/3 - 3106*r/3 - 1552/3 = 0?
-776, -1
Suppose -5*g**2 + 60*g + 225 = 0. Calculate g.
-3, 15
Factor 5*g**2/2 - 75*g/2 + 125.
5*(g - 10)*(g - 5)/2
Find h such that 2*h**3 + 62*h**2 + 172*h + 112 = 0.
-28, -2, -1
Let r**4/4 - 3*r**3 + 13*r**2/4 +