, 0, 1, 7, 12
Determine m so that 7*m**4/2 - 89*m**3/2 + 29*m**2 + 12*m = 0.
-2/7, 0, 1, 12
Factor 3*g**3 - 18*g**2 + 24*g.
3*g*(g - 4)*(g - 2)
Factor 5*j**4 + 5*j**3 - 15*j**2 - 5*j + 10.
5*(j - 1)**2*(j + 1)*(j + 2)
What is l in -3*l**4 + 6*l**3 + 36*l**2 + 42*l + 15 = 0?
-1, 5
What is q in -q**4/2 + 6*q**3 - 29*q**2/2 + 9*q = 0?
0, 1, 2, 9
What is x in 3*x**2/2 - 3*x/2 = 0?
0, 1
Factor 2*m**4/15 + 86*m**3/15 + 156*m**2/5 + 904*m/15 + 592/15.
2*(m + 2)**3*(m + 37)/15
Solve -l**3/2 + l**2/2 = 0.
0, 1
Find o such that -2*o**4/13 + 8*o**3 + 1464*o**2/13 + 4608*o/13 = 0.
-6, 0, 64
Find q, given that -2*q**3 + 47*q**2/2 - 16*q - 11/2 = 0.
-1/4, 1, 11
Determine i so that 4*i**5 - 52*i**4 + 168*i**3 = 0.
0, 6, 7
Factor n**2 - 2*n - 99.
(n - 11)*(n + 9)
Factor h**4/2 + h**3 - h**2/2 - h.
h*(h - 1)*(h + 1)*(h + 2)/2
Determine o, given that 3*o**2 + 330*o + 9075 = 0.
-55
Suppose -2*p**2/9 + 4760*p/9 - 2832200/9 = 0. What is p?
1190
Factor -5*c**5 + 20*c**3.
-5*c**3*(c - 2)*(c + 2)
Let f**2 - 9*f - 112 = 0. Calculate f.
-7, 16
Determine c, given that -c**4 + 280*c**3 - 19318*c**2 - 39480*c - 19881 = 0.
-1, 141
Factor -c**5/3 - 5*c**4/3 + 5*c**3/3 + 25*c**2/3 - 40*c/3 + 16/3.
-(c - 1)**3*(c + 4)**2/3
Determine d so that 3*d**2 - 180*d - 183 = 0.
-1, 61
Let -2*z**3/7 - 37*z**2/7 - 180*z/7 - 81/7 = 0. Calculate z.
-9, -1/2
Find b such that 2*b**2 - 474*b - 956 = 0.
-2, 239
Factor -3*p**3 + 12*p**2 - 15*p + 6.
-3*(p - 2)*(p - 1)**2
What is r in -2*r**3/5 + 2*r**2 + 2*r/5 - 2 = 0?
-1, 1, 5
Factor -4*s**4 - 104*s**3 - 96*s**2 + 104*s + 100.
-4*(s - 1)*(s + 1)**2*(s + 25)
Solve b**2/7 - 18*b/7 + 17/7 = 0.
1, 17
Factor -r**5 + 25*r**4 + 29*r**3 - 73*r**2 - 128*r - 52.
-(r - 26)*(r - 2)*(r + 1)**3
Solve 7*q**3/3 + 2725*q**2/3 + 778*q/3 = 0.
-389, -2/7, 0
Factor 2*a**3 - 14*a**2 - 2*a + 14.
2*(a - 7)*(a - 1)*(a + 1)
Factor 2*h**3/9 + 142*h**2/3 + 7490*h/3 - 22898/9.
2*(h - 1)*(h + 107)**2/9
Solve -3*r**4 + 1071*r**3 + 1089*r**2 - 5379*r + 3222 = 0.
-3, 1, 358
Factor u**2/2 - 15*u/2.
u*(u - 15)/2
Let 4*d**2 - 548*d - 13272 = 0. Calculate d.
-21, 158
Factor p**5 - 13*p**4 + 58*p**3 - 106*p**2 + 85*p - 25.
(p - 5)**2*(p - 1)**3
Suppose -2*w**2/5 - 14*w/5 = 0. What is w?
-7, 0
Solve -6*j**4 - 16*j**3 + 34*j**2 + 4*j - 16 = 0 for j.
-4, -2/3, 1
Factor -3*r**3 - 225*r**2 - 4329*r - 4107.
-3*(r + 1)*(r + 37)**2
Let 12*v**4 - 45*v**3 - 312*v**2 + 261*v + 84 = 0. What is v?
-4, -1/4, 1, 7
Suppose q**4 + 1210*q**3 - 2423*q**2 + 1212*q = 0. Calculate q.
-1212, 0, 1
Suppose v**3/3 + 768*v**2 + 589824*v + 150994944 = 0. What is v?
-768
Factor -a**3/2 + 12*a**2.
-a**2*(a - 24)/2
Factor 5*h**3 - 20*h**2 + 20*h.
5*h*(h - 2)**2
Find w such that 5*w**4 + 100*w**3 - 125*w**2 - 400*w + 420 = 0.
-21, -2, 1, 2
Factor -2*q**3/9 - 2*q**2/9.
-2*q**2*(q + 1)/9
Determine v so that -2*v**4/13 + 36*v**3/13 - 82*v**2/13 - 120*v/13 = 0.
-1, 0, 4, 15
Suppose 3*l**3/7 - 36*l**2/7 - 39*l/7 = 0. Calculate l.
-1, 0, 13
Factor -2*s**2 - 126*s - 472.
-2*(s + 4)*(s + 59)
Suppose -2*n**3/11 - 4*n**2/11 + 14*n/11 - 8/11 = 0. What is n?
-4, 1
Let -k**4/3 + k**3 - k**2 + k/3 = 0. Calculate k.
0, 1
Factor -6*r**4/5 + 202*r**3/5 - 132*r**2/5.
-2*r**2*(r - 33)*(3*r - 2)/5
Factor -j**4/4 - 33*j**3/4 + 77*j**2/4 + 249*j/4 + 35.
-(j - 4)*(j + 1)**2*(j + 35)/4
Factor -17*d**3/5 + 308*d**2/5 - 36*d/5.
-d*(d - 18)*(17*d - 2)/5
Factor 2*l**3/11 - 652*l**2/11 - 1310*l/11 - 656/11.
2*(l - 328)*(l + 1)**2/11
What is k in -5*k**3 + 15*k**2 - 15*k + 5 = 0?
1
Suppose -18*r**5/7 - 282*r**4/7 - 680*r**3/7 + 1304*r**2/7 - 480*r/7 = 0. What is r?
-12, -5, 0, 2/3
Factor -p**4/5 - p**3/5.
-p**3*(p + 1)/5
Suppose -456*p**3 - 1086*p**2/5 - 141*p/5 - 3/5 = 0. Calculate p.
-1/4, -1/5, -1/38
Let u**3 - u**2/3 - 2*u/3 = 0. What is u?
-2/3, 0, 1
Factor -3*q**3/5 - 204*q**2/5 - 3468*q/5.
-3*q*(q + 34)**2/5
Factor 2*m**3/9 - 68*m**2/3 + 2312*m/3 - 78608/9.
2*(m - 34)**3/9
Suppose q**5/8 - 5*q**4/8 + 3*q**3/8 + 13*q**2/8 - q - 3/2 = 0. What is q?
-1, 2, 3
Solve -2*k**5 + 60*k**4 - 162*k**3 - 8*k**2 + 216*k = 0 for k.
-1, 0, 2, 27
Solve -2*g**3/7 - 130*g**2/7 - 2176*g/7 - 2048/7 = 0.
-32, -1
Determine y so that y**2/5 + 556*y/5 - 1677/5 = 0.
-559, 3
Find p such that 33*p**4/7 - 2*p**3 - 32*p**2/7 + 2*p - 1/7 = 0.
-1, 1/11, 1/3, 1
Solve -5*f**5 + 295*f**4 + 2605*f**3 + 5065*f**2 - 2600*f - 5360 = 0 for f.
-4, -1, 1, 67
Suppose -r**4/3 + 25*r**3/3 - 166*r**2/3 + 32*r + 96 = 0. Calculate r.
-1, 2, 12
Let -g**2/4 + 63*g/2 + 64 = 0. Calculate g.
-2, 128
Factor -2*f**3/9 - 34*f**2/3 - 290*f/3 + 11774/9.
-2*(f - 7)*(f + 29)**2/9
Determine i, given that 2*i**5 - 288*i**4 - 1778*i**3 - 3288*i**2 - 1800*i = 0.
-3, -2, -1, 0, 150
Let -4*z**5 + 24*z**4 + 32*z**3 - 24*z**2 - 28*z = 0. Calculate z.
-1, 0, 1, 7
Factor 2*v**4/13 + 108*v**3/13 - 696*v**2/13 + 1424*v/13 - 960/13.
2*(v - 2)**3*(v + 60)/13
Factor 3*m**2/7 + 18*m + 555/7.
3*(m + 5)*(m + 37)/7
Find m such that 4*m**4 - 12*m**3 + 8*m**2 = 0.
0, 1, 2
Factor -2*y**3/19 + 22*y**2/19 - 70*y/19 + 50/19.
-2*(y - 5)**2*(y - 1)/19
Determine k, given that -392*k**5/3 - 1064*k**4/3 - 334*k**3 - 380*k**2/3 - 50*k/3 = 0.
-1, -5/14, 0
Find h such that 4*h**2/5 + 276*h/5 - 56 = 0.
-70, 1
Factor -h**2/4 + 435*h/2.
-h*(h - 870)/4
Find t, given that t**4/2 + 51*t**3/2 + 191*t**2/2 + 141*t/2 = 0.
-47, -3, -1, 0
Suppose 2*q**3 - 116*q**2 - 238*q - 120 = 0. Calculate q.
-1, 60
Factor -6*h**2 + 1803*h - 900.
-3*(h - 300)*(2*h - 1)
Find j such that -2*j**3 - 1482*j**2 - 275280*j - 273800 = 0.
-370, -1
Find p, given that 3*p**5 - 3*p**3 = 0.
-1, 0, 1
Factor -4*s**4 - 8*s**3 + 4*s**2 + 8*s.
-4*s*(s - 1)*(s + 1)*(s + 2)
Solve -s**4/2 + 7*s**3/4 + 5*s**2/4 - 7*s + 3 = 0 for s.
-2, 1/2, 2, 3
Factor -t**2/9 - 1906*t/9 + 1907/9.
-(t - 1)*(t + 1907)/9
Determine a, given that 2*a**2/3 + 22*a/3 = 0.
-11, 0
What is y in 4*y**5 + 4*y**4 - 24*y**3 - 16*y**2 + 32*y = 0?
-2, 0, 1, 2
Factor -i**4 + 7*i**3 + i**2 - 7*i.
-i*(i - 7)*(i - 1)*(i + 1)
Find u, given that -u**3/8 + 1457*u**2/4 + 5831*u/8 + 729/2 = 0.
-1, 2916
Factor 3*m**3/5 + 6*m**2 - 156*m/5 + 168/5.
3*(m - 2)**2*(m + 14)/5
Determine y so that -y**3 - 56*y**2 - 211*y - 156 = 0.
-52, -3, -1
Find t such that t**2/6 + 2866*t/3 + 4106978/3 = 0.
-2866
Factor 5*f**4 - 155*f**3 + 920*f**2 - 1980*f + 1440.
5*(f - 24)*(f - 3)*(f - 2)**2
Factor 2*r**3/3 - 16*r**2/3 - 122*r/3 - 104/3.
2*(r - 13)*(r + 1)*(r + 4)/3
Factor 33*g**4 - 261*g**3 - 321*g**2 - 27*g.
3*g*(g - 9)*(g + 1)*(11*g + 1)
Factor 4*s**5 + 4*s**4 - 20*s**3 - 4*s**2 + 32*s - 16.
4*(s - 1)**3*(s + 2)**2
Determine h so that 2*h**2 + 126*h - 396 = 0.
-66, 3
Suppose -6962*d**3 + 944*d**2/3 - 32*d/9 = 0. Calculate d.
0, 4/177
Factor 5*a**3 - 15*a**2 - 20*a.
5*a*(a - 4)*(a + 1)
Find z, given that z**4/3 - 2*z**3 - 17*z**2 - 44*z/3 = 0.
-4, -1, 0, 11
Suppose -p**4/3 + 584*p**3/3 - 28808*p**2 + 338720*p/3 - 336400/3 = 0. Calculate p.
2, 290
Suppose 3*x**2 + 1296*x + 139968 = 0. What is x?
-216
Factor -l**5/3 - 4*l**4/3 + 11*l**3/3 - 2*l**2.
-l**2*(l - 1)**2*(l + 6)/3
Solve 3*j**2 + 3*j - 6 = 0.
-2, 1
Solve -3*y**3/4 + 3*y**2 + 45*y/4 - 27/2 = 0 for y.
-3, 1, 6
What is x in 5*x**4/3 + 80*x**3/3 + 260*x**2/3 + 80*x = 0?
-12, -2, 0
Factor -v**2/5 - 11*v/5 - 24/5.
-(v + 3)*(v + 8)/5
Factor 2*w**2/5 + 302*w/5 + 292.
2*(w + 5)*(w + 146)/5
Find m, given that 2*m**4 + 4*m**3 - 288*m**2 - 4*m + 286 = 0.
-13, -1, 1, 11
Solve 45*q**4/4 - 75*q**3/2 + 35*q**2 - 10*q = 0 for q.
0, 2/3, 2
Solve 3*b**3 + 48*b**2 + 87*b + 42 = 0.
-14, -1
Factor 3*d**4 - 24*d**3 - 60*d**2.
3*d**2*(d - 10)*(d + 2)
Let -2*w**4/7 + 10*w**3/7 + 2*w**2/7 - 10*w/7 = 0. Calculate w.
-1, 0, 1, 5
What is a in a**3/8 - 617*a**2/8 - 929*a/4 - 155 = 0?
-2, -1, 620
Factor -m**3/11 + 28*m**2/11 + 29*m/11.
-m*(m - 29)*(m + 1)/11
Determine x so that x**3/2 - 125*x**2 + 15625*x/2 = 0.
0, 125
Factor 3*t**5 + 159*t**4 + 600*t**3 + 588*t**2.
3*t**2*(t + 2)**2*(t + 49)
Determine t so that -2076481*t**2/6 - 1441*t/3 - 1/6 = 0.
-1/1441
Factor 5*c**4 + 120*c**3 + 225*c**2 + 110*c.
5*c*(c + 1)**2*(c + 22)
Factor 61250*n**4/3 - 121100*n**3/3 + 19486*n**2 + 1384*n/3 + 8/3.
2*(n - 1)**2*(175*n + 2)**2/3
Let -n**5 - 3*n**4 + 23*n**3 - 33*n**2 + 14*n = 0. What is n?
-7, 0, 1, 2
Factor -2*v**2/17 - 10*v/17 + 132/17.
-2*(v - 6)*(v + 11)/17
What is m in 27*m**5 + 141*m**4 + 3*m**3 - 465