-3*(n - 1172)**2*(n - 1)
Suppose -2*d**5/5 + 4*d**4 + 106*d**3/5 + 92*d**2/5 - 104*d/5 - 112/5 = 0. What is d?
-2, -1, 1, 14
Factor 2*t**5/7 - 250*t**4/7 + 8544*t**3/7 - 12672*t**2.
2*t**2*(t - 77)*(t - 24)**2/7
Suppose 4*f**2 - 24*f - 28 = 0. What is f?
-1, 7
Factor -3*y**3 + 93*y**2 - 84*y - 180.
-3*(y - 30)*(y - 2)*(y + 1)
Factor -5*b**3/3 + 5*b**2 + 40*b + 140/3.
-5*(b - 7)*(b + 2)**2/3
Suppose 3*h**2 - 39*h + 36 = 0. Calculate h.
1, 12
Factor -2*i**2/3 + 22*i + 68/3.
-2*(i - 34)*(i + 1)/3
Solve -g**2/6 + 10*g + 61/6 = 0.
-1, 61
Suppose 3*m**2 + 27*m = 0. Calculate m.
-9, 0
Factor -k**3 - 11*k**2 + 12*k.
-k*(k - 1)*(k + 12)
Determine a so that a**2 - 29*a - 62 = 0.
-2, 31
Factor h**3/4 - h**2 - h/4 + 1.
(h - 4)*(h - 1)*(h + 1)/4
Factor 4*y**4 + 12*y**3 - 20*y**2 - 12*y + 16.
4*(y - 1)**2*(y + 1)*(y + 4)
Determine v, given that 3*v**2/5 - 312*v/5 + 8112/5 = 0.
52
Find t such that 25*t**4 + 1770*t**3 + 1395*t**2 - 350*t = 0.
-70, -1, 0, 1/5
Factor 2*w**5 + 12*w**4 + 16*w**3 - 12*w**2 - 18*w.
2*w*(w - 1)*(w + 1)*(w + 3)**2
Let 2*q**5/9 - 2332*q**4/9 - 4670*q**3/9 - 2336*q**2/9 = 0. What is q?
-1, 0, 1168
What is s in 6*s**5 - 39*s**4 + 63*s**3 - 6*s**2 - 24*s = 0?
-1/2, 0, 1, 2, 4
Determine l, given that -2*l**3/15 + 1394*l**2/15 - 242206*l/15 - 243602/15 = 0.
-1, 349
Factor 3*z**4 + 147*z**3 + 1707*z**2 - 2775*z - 11250.
3*(z - 3)*(z + 2)*(z + 25)**2
Suppose -5*r**4 + 10*r**3 + 135*r**2 + 260*r + 140 = 0. What is r?
-2, -1, 7
Factor -4*d**2 + 44*d - 40.
-4*(d - 10)*(d - 1)
What is a in -2*a**2 + 168*a - 3528 = 0?
42
Determine f, given that 2*f**5 - 146*f**4 + 1656*f**3 - 5832*f**2 + 4320*f = 0.
0, 1, 6, 60
What is t in 2*t**5/5 - t**4/5 - 19*t**3/5 + 9*t**2/5 + 9*t/5 = 0?
-3, -1/2, 0, 1, 3
Determine h so that -2*h**4 - 4*h**3 - 2*h**2 = 0.
-1, 0
Factor 11*y**3/4 + 15*y**2/4 - 11*y/4 - 15/4.
(y - 1)*(y + 1)*(11*y + 15)/4
Determine q so that -2*q**4 + 6*q**2 - 4*q = 0.
-2, 0, 1
Find x, given that -4*x**2 - 1228*x - 15288 = 0.
-294, -13
Let 2*g**4 + 80*g**3 + 492*g**2 + 1008*g + 594 = 0. Calculate g.
-33, -3, -1
Find x, given that -x**4/5 - 97*x**3/5 - 2487*x**2/5 - 6251*x/5 + 8836/5 = 0.
-47, -4, 1
Factor 2*w**2/5 - 120*w + 9000.
2*(w - 150)**2/5
Determine o so that 6*o**2 - 5505*o/4 + 2061/4 = 0.
3/8, 229
Solve -3*d**4 - 3*d**3 + 9*d**2 + 15*d + 6 = 0.
-1, 2
Factor -2*l**2 - 138*l - 868.
-2*(l + 7)*(l + 62)
Factor 5*i**2 + 15*i - 770.
5*(i - 11)*(i + 14)
Let -g**4/2 + g**3/2 + 2*g**2 - 2*g = 0. Calculate g.
-2, 0, 1, 2
Suppose z**4/5 + 14*z**3/5 + 33*z**2/5 - 16*z - 20 = 0. Calculate z.
-10, -5, -1, 2
Solve -4*x**5/5 + 56*x**4/5 - 232*x**3/5 + 16*x**2 + 220*x - 200 = 0 for x.
-2, 1, 5
Let 3*k**5/7 + 12*k**4/7 + 15*k**3/7 + 6*k**2/7 = 0. Calculate k.
-2, -1, 0
Determine o, given that 3*o**3/8 - 3*o**2/8 - 483*o/8 - 2205/8 = 0.
-7, 15
Find m, given that 2*m**3 - 248*m**2 + 7930*m - 14884 = 0.
2, 61
Factor m**3/5 - 12*m**2/5 - m/5 + 12/5.
(m - 12)*(m - 1)*(m + 1)/5
Factor -24*h**3 - 2124*h**2 + 6453*h/2 - 1215.
-3*(h + 90)*(4*h - 3)**2/2
Determine w, given that -8*w**4 + 28968*w**3 - 26237762*w**2 + 26216040*w - 6552200 = 0.
1/2, 1810
Factor -5*t**5 - 365*t**4.
-5*t**4*(t + 73)
Solve 4*c**4 - 524*c**3 + 5904*c**2 - 23104*c + 30464 = 0 for c.
4, 119
What is u in -2*u**4/3 + 20*u**3/3 - 56*u**2/3 + 4*u + 30 = 0?
-1, 3, 5
Let -3*l**5 + 9*l**4 + 318*l**3 - 1626*l**2 - 315*l + 1617 = 0. Calculate l.
-11, -1, 1, 7
Let -v**2 + 1928*v - 929296 = 0. What is v?
964
Factor -3*z**2/5 + 36*z/5 - 33/5.
-3*(z - 11)*(z - 1)/5
Factor q**2/6 + 2207*q/6 - 368.
(q - 1)*(q + 2208)/6
Let -5*c**4 + 135*c**3 - 480*c**2 - 6400*c = 0. What is c?
-5, 0, 16
Let 3*y**4 - 162*y**3 - 684*y**2 - 696*y = 0. What is y?
-2, 0, 58
Factor -5*i**5 + 45*i**4 + 170*i**3 - 730*i**2 + 795*i - 275.
-5*(i - 11)*(i - 1)**3*(i + 5)
Factor d**4/4 + 5*d**3/4 - 351*d**2/4 - 4617*d/4 - 8019/2.
(d - 22)*(d + 9)**3/4
Determine f so that 20*f**3 - 252*f**2 + 336*f + 176 = 0.
-2/5, 2, 11
Suppose -2*b**2/9 - 10*b/3 + 572/9 = 0. What is b?
-26, 11
Factor -3*s**5 - 15*s**4 - 12*s**3.
-3*s**3*(s + 1)*(s + 4)
Let 2*g**2/9 - 1648*g/9 = 0. Calculate g.
0, 824
Determine f so that 16*f**3/11 - 56*f**2/11 + 25*f/11 - 3/11 = 0.
1/4, 3
Find c such that -6*c**2 + 15*c = 0.
0, 5/2
Solve -k**5 - 121*k**4 - 3598*k**3 + 3842*k**2 + 3599*k - 3721 = 0 for k.
-61, -1, 1
Find k, given that 2*k**2/5 + 22*k/5 + 56/5 = 0.
-7, -4
Factor -h**3/10 + 24*h/5 - 64/5.
-(h - 4)**2*(h + 8)/10
Factor 2*j**3/5 - 2058*j**2/5 + 705894*j/5 - 80707214/5.
2*(j - 343)**3/5
Determine j so that j**3/5 - 9*j**2/5 + 6*j/5 + 16/5 = 0.
-1, 2, 8
Factor 8*k**4/13 + 88*k**3 + 40322*k**2/13 - 3168*k + 10368/13.
2*(k + 72)**2*(2*k - 1)**2/13
Factor -m**2/8 - 3*m/8 + 5/4.
-(m - 2)*(m + 5)/8
Factor -p**3/10 - 3*p**2/5 - 3*p/10 + 1.
-(p - 1)*(p + 2)*(p + 5)/10
Factor 2*t**3 + 174*t**2 + 508*t + 336.
2*(t + 1)*(t + 2)*(t + 84)
Determine h, given that 3*h**4 - 117*h**3 + 96*h**2 + 684*h = 0.
-2, 0, 3, 38
Solve 2*y**5/5 - 16*y**4/5 - 66*y**3/5 - 8*y**2/5 + 88*y/5 = 0.
-2, 0, 1, 11
Let -3*p**2/5 - 3*p/5 + 6/5 = 0. Calculate p.
-2, 1
Factor 3*k**3 - 36*k**2 + 123*k - 90.
3*(k - 6)*(k - 5)*(k - 1)
Solve 2*w**4/11 + 42*w**3/11 - 18*w**2 + 62*w/11 + 300/11 = 0 for w.
-25, -1, 2, 3
Find f such that -f**2/5 - f + 6/5 = 0.
-6, 1
Suppose t**2/8 - 3247*t/4 + 10543009/8 = 0. Calculate t.
3247
Factor -3*h**3/5 + 18*h**2 - 864*h/5 + 2688/5.
-3*(h - 14)*(h - 8)**2/5
Solve w**2 + 802*w + 160801 = 0.
-401
Factor -676*s**2/5 - 2026*s/5 + 6/5.
-2*(s + 3)*(338*s - 1)/5
What is t in -4*t**5 + 12*t**4 - 12*t**3 + 4*t**2 = 0?
0, 1
Factor s**2/2 - 7*s/2 - 22.
(s - 11)*(s + 4)/2
Factor 5*n**2 - 13610*n.
5*n*(n - 2722)
Factor -4*f**2 - 424*f - 11236.
-4*(f + 53)**2
What is z in z**2/3 + 10*z/3 - 32 = 0?
-16, 6
Factor -n**2/3 + 26*n + 81.
-(n - 81)*(n + 3)/3
Suppose 2*f**4/9 + 2*f**3/9 - 4*f**2/3 - 8*f/9 + 16/9 = 0. Calculate f.
-2, 1, 2
Find q such that -3*q**3 - 525*q**2 + 8976*q - 36672 = 0.
-191, 8
Factor 5*t**2 + 1010*t + 51005.
5*(t + 101)**2
Suppose -3*g**2/4 + 2451*g/2 - 2002467/4 = 0. What is g?
817
Factor -3*j**3 + 162*j**2 + 2025*j/4 + 1539/4.
-3*(j - 57)*(2*j + 3)**2/4
Find h, given that 2*h**4/5 - 24*h**3/5 + 8*h**2/5 + 384*h/5 + 512/5 = 0.
-2, 8
Determine g so that 8*g**3/17 - 126*g**2/17 - 320*g/17 - 72/17 = 0.
-2, -1/4, 18
Solve 3*f**3/4 + 30*f**2 - 123*f/4 = 0.
-41, 0, 1
Find z, given that -z**2/3 - 142*z - 2105/3 = 0.
-421, -5
Solve 3*x**2 + 366*x + 11163 = 0.
-61
Factor -2*b**2 + 44*b + 46.
-2*(b - 23)*(b + 1)
Factor -v**2/4 + 19*v/2 - 37/4.
-(v - 37)*(v - 1)/4
Factor -i**3/3 - 2*i**2 + 5*i - 8/3.
-(i - 1)**2*(i + 8)/3
Factor -l**4/4 + 2*l**3 - 5*l**2/4 - 25*l/2.
-l*(l - 5)**2*(l + 2)/4
Determine l so that 48*l**5 - 792*l**4 - 2541*l**3 + 5064*l**2 - 2007*l + 228 = 0.
-4, 1/4, 1, 19
Solve c**2/6 + 17*c/3 + 91/2 = 0 for c.
-21, -13
Determine a, given that -5*a**5/2 + 10*a**4 + 15*a**3 - 40*a**2 - 145*a/2 - 30 = 0.
-1, 3, 4
Factor 3*c**3 - 18*c**2 + 96.
3*(c - 4)**2*(c + 2)
Find f such that f**2/3 + f - 18 = 0.
-9, 6
Determine p so that -p**4 + 194*p**3 - 7501*p**2 - 185076*p - 910116 = 0.
-9, 106
Factor 16*q**4 + 136*q**3 + 65*q**2 + 8*q.
q*(q + 8)*(4*q + 1)**2
Determine t so that 2*t**3/5 + 66*t**2/5 + 118*t/5 - 186/5 = 0.
-31, -3, 1
Factor -4*f**3 - 552*f**2 - 2160*f - 2144.
-4*(f + 2)**2*(f + 134)
Determine p so that 4*p**2/3 + 92*p/3 + 160 = 0.
-15, -8
Factor 2*x**2 + 524*x.
2*x*(x + 262)
Solve -2*o**4 + 80*o**3 + 1314*o**2 + 3352*o + 2120 = 0.
-10, -2, -1, 53
Factor a**3/4 - 341*a**2/2 + 29240*a - 57800.
(a - 340)**2*(a - 2)/4
Suppose -7*h**5/3 + 19*h**4 - 36*h**3 = 0. What is h?
0, 3, 36/7
Factor -2*n**3 + 42*n**2 + 432*n + 928.
-2*(n - 29)*(n + 4)**2
Let 2*u**2 - 452*u - 912 = 0. What is u?
-2, 228
Factor -49*n**4/2 - 154*n**3 - 263*n**2 - 66*n - 9/2.
-(n + 3)**2*(7*n + 1)**2/2
Factor 2*o**4/5 + 16*o**3/5 + 2*o**2 - 20*o.
2*o*(o - 2)*(o + 5)**2/5
Suppose 3*a**3 - 33327*a**2 + 123409881*a - 152328929781 = 0. What is a?
3703
Suppose 2*c**2/3 + 50*c/3 - 36 = 0. What is c?
-27, 2
Factor -y**4/2 + 41*y**3 - 393*y**2/2 + 310*y - 154.
-(y - 77)*(y - 2)**2*(y - 1)/2
Find r such that -2*r**4 - 64*r**3 - 114*r**2 + 180*r = 0.
-30, -3, 0, 1
Solve -4*v**2/3 - 5408*v/3 - 1827904/3 = 0.
-676
Let -3*i**2/4 - 1329*i/4 - 1323/2 = 0. What is i?
-441, -2
Find g such tha