4/8 - 801*p**3/8 - 2349*p**2/8 - 1161*p/4.
-p*(p + 3)**3*(p + 86)/8
Factor 2*x**3/7 + 166*x**2/7 - 338*x/7 + 170/7.
2*(x - 1)**2*(x + 85)/7
Factor -x**4 + 8*x**3 + 9*x**2 - 108*x - 108.
-(x - 6)**2*(x + 1)*(x + 3)
Factor -4*t**4 + 4*t**3 + 264*t**2 + 896*t + 640.
-4*(t - 10)*(t + 1)*(t + 4)**2
Determine o, given that 8*o**5/9 + 94*o**4/3 + 3022*o**3/9 + 922*o**2 - 990*o - 300 = 0.
-15, -6, -1/4, 1
What is r in 2*r**2 + 8*r = 0?
-4, 0
Determine p, given that -5*p**2 + 410*p + 415 = 0.
-1, 83
Suppose -t**2 - 426*t + 427 = 0. Calculate t.
-427, 1
Let -b**5/3 + 18*b**4 + b**3 - 160*b**2/3 - 36*b = 0. What is b?
-1, 0, 2, 54
Factor 2*o**4/9 - 10*o**3/9 - 34*o**2/9 + 14*o/3.
2*o*(o - 7)*(o - 1)*(o + 3)/9
Factor -2*z**4 + 30*z**3 - 72*z**2 - 8*z + 96.
-2*(z - 12)*(z - 2)**2*(z + 1)
Factor 5*b**2 + 1935*b - 5850.
5*(b - 3)*(b + 390)
Let -7*d**5/3 + 79*d**4/3 + 251*d**3/3 + 209*d**2/3 + 16*d/3 - 28/3 = 0. Calculate d.
-1, 2/7, 14
Factor v**2 - 24*v + 144.
(v - 12)**2
Find n, given that 2*n**3/7 + 20*n**2/7 + 46*n/7 + 4 = 0.
-7, -2, -1
Factor -8*b**3/11 - 54*b**2/11 + 14*b/11.
-2*b*(b + 7)*(4*b - 1)/11
Suppose 4*v**2 - 8*v = 0. What is v?
0, 2
Solve 4*g**2 + 1516*g + 1512 = 0.
-378, -1
Find h, given that -13*h**3/7 - 210*h**2 + 1369*h/7 + 114/7 = 0.
-114, -1/13, 1
Suppose -5*g**5 + 215*g**4/4 + 3835*g**3/4 - 62235*g**2/4 + 217485*g/4 + 14580 = 0. What is g?
-16, -1/4, 9
Factor -h**5 + 3*h**4 - 4*h**2.
-h**2*(h - 2)**2*(h + 1)
Suppose 3*i**2 - 11743*i/5 - 1566/5 = 0. What is i?
-2/15, 783
Factor -5*k**3 - 15*k**2 + 5*k + 15.
-5*(k - 1)*(k + 1)*(k + 3)
Let -5*c**3 - 435*c**2 + 885*c - 445 = 0. What is c?
-89, 1
Suppose 3*s**4 + 318*s**3 - 651*s**2 - 318*s + 648 = 0. What is s?
-108, -1, 1, 2
Let 3*w**2 + 48*w - 108 = 0. Calculate w.
-18, 2
Let -2*j**5/13 - 12*j**4/13 - 16*j**3/13 + 12*j**2/13 + 18*j/13 = 0. Calculate j.
-3, -1, 0, 1
Factor -4*i**2 - 348*i - 680.
-4*(i + 2)*(i + 85)
Factor 4*a**2 + 700*a + 2736.
4*(a + 4)*(a + 171)
Determine l, given that -38*l**2 + 34*l + 4 = 0.
-2/19, 1
Determine m, given that 4*m**5/5 - 4*m**4/5 - 3*m**3/5 + 4*m**2/5 - m/5 = 0.
-1, 0, 1/2, 1
Solve -s**5/7 + 55*s**4/7 - 537*s**3/7 + 115*s**2 + 602*s = 0 for s.
-2, 0, 7, 43
Determine d so that 3*d**5/4 - 1827*d**4/4 + 69768*d**3 - 69312*d**2 = 0.
0, 1, 304
Solve 2*o**3/13 - 480*o**2/13 + 2358*o/13 - 1880/13 = 0 for o.
1, 4, 235
Determine m so that 2*m**5/9 - 154*m**4/9 - 316*m**3/9 = 0.
-2, 0, 79
Factor -2*h**2/3 + 2404*h/21 + 688/21.
-2*(h - 172)*(7*h + 2)/21
Let s**3 - 3*s**2 - 16*s + 48 = 0. Calculate s.
-4, 3, 4
Find g such that -2*g**3/7 - 2*g**2 + 34*g/7 - 18/7 = 0.
-9, 1
Let 2*s**3 - 2358*s**2 + 696198*s - 693842 = 0. What is s?
1, 589
Factor -h**3/7 - 2*h**2/7 + h/7 + 2/7.
-(h - 1)*(h + 1)*(h + 2)/7
Factor x**5/2 + 8*x**4 + 91*x**3/2 + 98*x**2 + 8*x - 160.
(x - 1)*(x + 4)**3*(x + 5)/2
Solve 8*f**4 + 34*f**3/5 + 6*f**2/5 = 0 for f.
-3/5, -1/4, 0
Suppose v**4 + 25*v**3 - 84*v**2 = 0. Calculate v.
-28, 0, 3
Suppose 5*i**2 + 36*i + 64 = 0. What is i?
-4, -16/5
Solve 128*g**5 - 160*g**4 - 3240*g**3 - 2350*g**2 - 580*g - 48 = 0 for g.
-4, -1/4, 6
What is y in -3*y**5 - 27*y**4 + 42*y**3 + 108*y**2 - 120*y = 0?
-10, -2, 0, 1, 2
Solve -g**3/6 + g**2 - 5*g/6 = 0.
0, 1, 5
Suppose 3*v**3/5 + 3*v**2 - 759*v/5 + 741/5 = 0. What is v?
-19, 1, 13
Find y such that 5*y**2 + 50*y - 55 = 0.
-11, 1
Factor 3*a**3 + 429*a**2 - 867*a + 435.
3*(a - 1)**2*(a + 145)
What is v in v**5 - 589*v**4 + 86434*v**3 + 87614*v**2 - 86435*v - 87025 = 0?
-1, 1, 295
Solve -3*y**4/4 - 147*y**3/2 + 303*y**2/4 + 297*y/2 = 0.
-99, -1, 0, 2
Let 2*r**4/7 + 180*r**3/7 + 176*r**2/7 - 180*r/7 - 178/7 = 0. What is r?
-89, -1, 1
Suppose 3*u**5 - 6*u**4 - 9*u**3 + 24*u**2 - 12*u = 0. Calculate u.
-2, 0, 1, 2
Solve -6*m**4/11 + 60*m**3/11 + 18*m**2/11 - 192*m/11 + 120/11 = 0 for m.
-2, 1, 10
Determine n so that -n**5 + 22*n**4 + 128*n**3 + 186*n**2 + 81*n = 0.
-3, -1, 0, 27
Solve -9*u**2 - 66*u - 72 = 0 for u.
-6, -4/3
Factor 3*p**3 + 60*p**2 - 69*p - 126.
3*(p - 2)*(p + 1)*(p + 21)
Factor 2*j**2/11 - 292*j/11 + 10658/11.
2*(j - 73)**2/11
Suppose -2*j**4/7 - 100*j**3/7 + 1032*j**2/7 - 260*j - 2950/7 = 0. What is j?
-59, -1, 5
Suppose -d**2 + 102*d + 208 = 0. Calculate d.
-2, 104
Let -z**4/4 + 5*z**3/4 + 3*z**2/2 = 0. What is z?
-1, 0, 6
Let 3*v**5/2 - 397*v**4/2 - 1899*v**3/2 - 2599*v**2/2 - 276*v + 274 = 0. Calculate v.
-2, -1, 1/3, 137
Factor 81*m**4 + 45*m**3 - 32*m**2 + 4*m.
m*(m + 1)*(9*m - 2)**2
Solve 27*g**5/8 + 36*g**4 - 771*g**3/8 + 153*g**2/2 - 39*g/2 = 0 for g.
-13, 0, 2/3, 1
Factor -2*z**2 - 18804*z - 44198802.
-2*(z + 4701)**2
Factor 5*y**3 + 15*y**2 - 20*y.
5*y*(y - 1)*(y + 4)
Factor 4*q**2 - 948*q.
4*q*(q - 237)
Suppose 35*k**2/3 + 45*k - 20/3 = 0. What is k?
-4, 1/7
Find y, given that -4*y**4 - 4*y**3 + 84*y**2 + 180*y = 0.
-3, 0, 5
What is q in -3*q**4 - 25*q**3/2 - 39*q**2/2 - 27*q/2 - 7/2 = 0?
-7/6, -1
Determine x so that 4*x**2/5 + 48*x - 1024/5 = 0.
-64, 4
Factor -5*a**2 - 250*a - 3125.
-5*(a + 25)**2
What is m in -4*m**4/5 + 754*m**3/5 - 37158*m**2/5 + 150512*m/5 + 16928 = 0?
-1/2, 5, 92
Factor -3*r**2 + 57*r.
-3*r*(r - 19)
Find k such that 18*k**3 + 2166*k**2 - 1450*k + 242 = 0.
-121, 1/3
Suppose -5*h**2 + 16350*h + 16355 = 0. Calculate h.
-1, 3271
Suppose 2*k**3 + 68*k**2 + 248*k + 240 = 0. What is k?
-30, -2
Determine l, given that -l**5/2 + 39*l**4 - 515*l**3/2 + 649*l**2 - 714*l + 284 = 0.
1, 2, 71
Factor -2*v**4/5.
-2*v**4/5
Let -4*r**3/7 - 12*r**2/7 + 28*r + 84 = 0. Calculate r.
-7, -3, 7
Solve -5*v**3 - 215*v**2 - 1260*v = 0.
-36, -7, 0
Factor -2*v**2/3 + 22*v + 68/3.
-2*(v - 34)*(v + 1)/3
Factor 55*q**2 + 5600*q - 1020.
5*(q + 102)*(11*q - 2)
Solve 5*l**2 - 150*l + 145 = 0 for l.
1, 29
Factor t**5 + 25*t**4 - 156*t**3 - 4240*t**2 + 17600*t.
t*(t - 11)*(t - 4)*(t + 20)**2
Solve 5*x**4 - 2500*x**3 + 468750*x**2 - 39062500*x + 1220703125 = 0 for x.
125
Find h such that h**2/5 + 32*h + 159/5 = 0.
-159, -1
Factor 5*v**5 + 45*v**4 + 105*v**3 + 95*v**2 + 30*v.
5*v*(v + 1)**3*(v + 6)
Solve 2*t**2/5 + 92*t/5 - 94/5 = 0.
-47, 1
Determine x, given that 4*x**2 + 144*x - 148 = 0.
-37, 1
Solve -f**3/5 + 4267*f**2/5 - 910791*f + 4549689/5 = 0 for f.
1, 2133
Factor -2*q**2 - 6*q - 4.
-2*(q + 1)*(q + 2)
Factor w**5 - 3*w**4 - 5*w**3 + 3*w**2 + 4*w.
w*(w - 4)*(w - 1)*(w + 1)**2
Factor -5*h**3 + 10*h**2 + 155*h + 140.
-5*(h - 7)*(h + 1)*(h + 4)
Solve 9*q**5 + 12*q**4 - 39*q**3 + 18*q**2 = 0.
-3, 0, 2/3, 1
Factor -5*t**2/6 + 3700*t - 4107000.
-5*(t - 2220)**2/6
Determine x, given that -4*x**4 + 348*x**3 - 8024*x**2 + 17808*x + 70560 = 0.
-2, 5, 42
Let -5*j**5/3 + 10*j**4 + 240*j**3 + 1280*j**2/3 = 0. Calculate j.
-8, -2, 0, 16
Factor -4*a**4 - 24*a**3 - 36*a**2 - 16*a.
-4*a*(a + 1)**2*(a + 4)
Factor 2*b**3/13 + 150*b**2/13 + 1104*b/13 - 71944/13.
2*(b - 17)*(b + 46)**2/13
Let 4*c**3 - 2236*c**2 + 4460*c - 2228 = 0. What is c?
1, 557
Determine k so that -k**2/6 + 7*k/2 - 55/3 = 0.
10, 11
Find q, given that -3*q**5 + 9*q**4 + 51*q**3 - 117*q**2 + 60*q = 0.
-4, 0, 1, 5
Find i, given that 2*i**2 + 6*i + 4 = 0.
-2, -1
Factor r**4 + 61*r**3 + 1064*r**2 + 3920*r.
r*(r + 5)*(r + 28)**2
Find u such that -5*u**3 - 130*u**2 - 245*u - 120 = 0.
-24, -1
Factor 338*a**2 - 572*a + 242.
2*(13*a - 11)**2
Determine p, given that 2*p**4 + 8*p**3 + 6*p**2 = 0.
-3, -1, 0
Solve -d**3/12 - 31*d**2/12 + 8*d/3 = 0 for d.
-32, 0, 1
Let -c**2/12 - 101*c/12 - 33/2 = 0. What is c?
-99, -2
Determine d so that d**4 - 22*d**3 + 111*d**2 - 90*d = 0.
0, 1, 6, 15
Factor 50*o**3/9 - 6310*o**2 + 15136*o/3 - 9080/9.
2*(o - 1135)*(5*o - 2)**2/9
Factor 12*r**3 - 237*r**2 - 312*r - 63.
3*(r - 21)*(r + 1)*(4*r + 1)
Find f such that -18*f**4 + 489*f**3 - 71*f**2 - 270*f = 0.
-2/3, 0, 5/6, 27
Let 3*h**3/5 + 222*h**2/5 + 87*h + 216/5 = 0. Calculate h.
-72, -1
Solve -25*n**3 - 15565*n**2 + 21830*n - 6240 = 0.
-624, 2/5, 1
Factor b**2/3 - 496*b + 184512.
(b - 744)**2/3
Solve -c**3/3 - 16*c**2/3 - 65*c/3 - 50/3 = 0.
-10, -5, -1
Factor -2*p**2/9 - 104*p/9 - 184/3.
-2*(p + 6)*(p + 46)/9
Factor -2*d**3/15 + 434*d**2/5 - 69978*d/5 - 213858/5.
-2*(d - 327)**2*(d + 3)/15
Suppose 2*n**2/3 + 20*n + 126 = 0. What is n?
-21, -9
Let 6*a**5 - 860*a**4 + 28666*a**3 + 160148*a**2 - 253672*a + 65712 = 0. Calculate a.
-6, 1/3, 1, 74
Suppose z**3/5 - 42*z**2/5 - 4