 - 1)*(q + 2)
Determine a, given that -a**2 + 108*a - 2916 = 0.
54
Solve -5*r**3 + 620*r**2 - 615*r = 0.
0, 1, 123
Find a, given that 3*a**2/7 + 96*a + 5376 = 0.
-112
Factor -w**3/5 + 106*w**2/5 + 224*w/5 - 864/5.
-(w - 108)*(w - 2)*(w + 4)/5
Let -10*u**5/9 - 28*u**4/9 + 46*u**3/9 - 8*u**2/9 = 0. What is u?
-4, 0, 1/5, 1
What is i in i**4 - 2*i**3 + i**2 = 0?
0, 1
Let h**5 + 8*h**4 + 15*h**3 - 4*h**2 - 20*h = 0. Calculate h.
-5, -2, 0, 1
Factor 3*z**3 + 42*z**2 + 153*z + 162.
3*(z + 2)*(z + 3)*(z + 9)
Let 2*t**3/11 - 856*t**2/11 + 850*t/11 + 1708/11 = 0. What is t?
-1, 2, 427
Suppose -2*g**3 + 6522*g**2 - 5307264*g - 15980544 = 0. Calculate g.
-3, 1632
Suppose -3*u**2/8 + 627*u/8 = 0. What is u?
0, 209
Factor -r**3 - 8*r**2 - 7*r.
-r*(r + 1)*(r + 7)
Determine m, given that 49*m**5 - 168*m**4 + 137*m**3 + 26*m**2 - 36*m - 8 = 0.
-2/7, 1, 2
Solve -a**2 - 253*a - 252 = 0 for a.
-252, -1
Suppose 202612*a**4 + 470936*a**3 + 138528*a**2 + 14464*a + 512 = 0. Calculate a.
-2, -4/37
Solve -9*z**4/2 + 1545*z**3/4 + 129*z**2/2 = 0.
-1/6, 0, 86
Factor -3*t**2/2 - 36*t - 162.
-3*(t + 6)*(t + 18)/2
Factor 2*a**4/7 + 36*a**3/7 - 222*a**2/7 + 184*a/7.
2*a*(a - 4)*(a - 1)*(a + 23)/7
Factor 14*z**2/3 - 37*z/2 - 2/3.
(z - 4)*(28*z + 1)/6
Factor y**3/4 + 1067*y**2/4 + 71022*y - 71289.
(y - 1)*(y + 534)**2/4
Solve 4*t**4 - 63*t**3 + 148*t**2 - 63*t - 26 = 0 for t.
-1/4, 1, 2, 13
Suppose 4*b**2 + 68*b - 240 = 0. Calculate b.
-20, 3
Solve 5*d**3 + 16200*d**2 + 17496000*d + 6298560000 = 0 for d.
-1080
Determine m so that 4*m**3 - 4*m**2 - 404*m - 396 = 0.
-9, -1, 11
What is z in -2*z**3/11 - 4*z**2/11 + 136*z/11 - 240/11 = 0?
-10, 2, 6
Solve 6*h**3 - 3*h**2 - 9*h = 0 for h.
-1, 0, 3/2
Factor 4*f**3 + 2160*f**2 - 2164*f.
4*f*(f - 1)*(f + 541)
Let u**2/5 + 10*u + 141/5 = 0. Calculate u.
-47, -3
Solve -s**5/4 - 3*s**4/4 - s**3/2 + s**2/2 + 3*s/4 + 1/4 = 0 for s.
-1, 1
Solve -4*u**4/3 + 11*u**3/3 - 2*u**2/3 - 11*u/3 + 2 = 0 for u.
-1, 3/4, 1, 2
Determine u so that 2*u**2/11 + 4*u/11 - 160/11 = 0.
-10, 8
Factor -2*x**2/3 + 232*x/3.
-2*x*(x - 116)/3
Solve 2*s**4/5 - 128*s**3/5 - 2*s**2/5 + 128*s/5 = 0 for s.
-1, 0, 1, 64
Solve -5*m**3 - 2275*m**2 + 2280*m = 0.
-456, 0, 1
Let t**4/8 - 2*t**3 - 37*t**2/8 + 2*t + 9/2 = 0. Calculate t.
-2, -1, 1, 18
Factor 4*i**3/5 - 180*i**2 - 13188*i/5 - 46844/5.
4*(i - 239)*(i + 7)**2/5
Determine l so that -5*l**2 - 180*l - 1215 = 0.
-27, -9
Factor -w**3/3 + 20*w**2/3 + 9*w - 42.
-(w - 21)*(w - 2)*(w + 3)/3
Factor 2*o**3/5 - 402*o**2/5.
2*o**2*(o - 201)/5
Solve 4*v**5 + 244*v**4 + 1780*v**3 + 4524*v**2 + 3816*v = 0 for v.
-53, -3, -2, 0
Determine f so that -f**3/5 - 40*f**2 - 2000*f = 0.
-100, 0
Determine x so that 2*x**5 + 50*x**4 - 114*x**3 - 154*x**2 + 224*x + 216 = 0.
-27, -1, 2
Factor v**3 - 13*v**2 - 29*v - 15.
(v - 15)*(v + 1)**2
Let 4*w**2 + 13880*w + 12040900 = 0. Calculate w.
-1735
Solve -2*x**4/11 + 4*x**3/11 + 2*x**2/11 - 4*x/11 = 0 for x.
-1, 0, 1, 2
Solve -3*k**5/5 - 3*k**4 + 42*k**3/5 - 6*k**2/5 - 39*k/5 + 21/5 = 0.
-7, -1, 1
Solve 4*v**2 - 64*v = 0.
0, 16
Suppose -4*k**4 + 40*k**3 - 116*k**2 + 128*k - 48 = 0. Calculate k.
1, 2, 6
Find f such that f**4 - 94*f**3 + 2772*f**2 - 19602*f - 179685 = 0.
-5, 33
Determine n so that 208*n**5 - 1458*n**4 + 2302*n**3 - 1062*n**2 + 10*n = 0.
0, 1/104, 1, 5
Let -8*k**5/5 - 10*k**4 - 108*k**3/5 - 104*k**2/5 - 44*k/5 - 6/5 = 0. What is k?
-3, -1, -1/4
Determine j so that 3*j**3/4 - 9*j/4 + 3/2 = 0.
-2, 1
Factor 6*v**3/5 + 1449*v**2/5 + 17424*v - 43923/5.
3*(v + 121)**2*(2*v - 1)/5
Solve -4*n**5 - 640*n**4 - 1264*n**3 + 8*n**2 + 1268*n + 632 = 0.
-158, -1, 1
Factor -67*q**2/3 - 79*q/9 - 4/9.
-(3*q + 1)*(67*q + 4)/9
Suppose -272*o**5 - 1188*o**4 - 1768*o**3 - 1076*o**2 - 240*o - 16 = 0. What is o?
-2, -1, -1/4, -2/17
Let -28*n**4 - 100*n**3 - 92*n**2 + 4*n + 24 = 0. What is n?
-2, -1, 3/7
Factor t**2/9 + 3*t + 50/9.
(t + 2)*(t + 25)/9
Factor 3*z**2/5 - 21*z + 288/5.
3*(z - 32)*(z - 3)/5
Determine a, given that -4*a**5/5 + 8*a**4 - 144*a**3/5 + 224*a**2/5 - 128*a/5 = 0.
0, 2, 4
Determine k, given that -k**5/7 - 481*k**4/7 - 58558*k**3/7 - 172798*k**2/7 - 171841*k/7 - 57121/7 = 0.
-239, -1
Factor 3*c**3 + 282*c**2 - 285*c.
3*c*(c - 1)*(c + 95)
Suppose 4*z**4/3 - 112*z**3/3 + 324*z**2 - 2672*z/3 + 2288/3 = 0. Calculate z.
2, 11, 13
Factor -2*n**4/5 - 2974*n**3/5 - 3558*n**2 - 26658*n/5.
-2*n*(n + 3)**2*(n + 1481)/5
Solve -2*a**5/19 - 4*a**4/19 + 10*a**3/19 + 12*a**2/19 = 0 for a.
-3, -1, 0, 2
Factor -3*u**5 + 19*u**4 + 40*u**3.
-u**3*(u - 8)*(3*u + 5)
Factor -2*n**3 - 20*n**2 + 46*n - 24.
-2*(n - 1)**2*(n + 12)
Determine x, given that -x**3/5 + 2*x**2 + 11*x/5 = 0.
-1, 0, 11
Let -3*z**4/4 + 45*z**3 - 2529*z**2/4 + 2013*z - 1845 = 0. What is z?
2, 15, 41
Factor 2*u**3 + 2620*u**2 + 855424*u - 1721344.
2*(u - 2)*(u + 656)**2
Determine p, given that -2*p**3/7 - 352*p**2/7 - 7018*p/7 - 5324 = 0.
-154, -11
Factor -2*m**2/5 - 8*m/5 + 192/5.
-2*(m - 8)*(m + 12)/5
Factor -g**3/2 + 101*g**2.
-g**2*(g - 202)/2
Let v**2 + 2514*v + 1580049 = 0. Calculate v.
-1257
Find r, given that -4*r**3 + 28*r**2 + 16*r - 112 = 0.
-2, 2, 7
Suppose -15*q**4 - 9*q**3 + 6*q**2 = 0. What is q?
-1, 0, 2/5
Factor 4*g**3 - 160*g**2 + 804*g + 3960.
4*(g - 33)*(g - 10)*(g + 3)
Factor -g**3/3 + 209*g**2/3 + 212*g/3 - 140.
-(g - 210)*(g - 1)*(g + 2)/3
Suppose -5*p**2 - 340*p + 700 = 0. What is p?
-70, 2
Suppose 15*d**5 - 110*d**4 - 5*d**3 + 260*d**2 + 140*d = 0. What is d?
-1, -2/3, 0, 2, 7
Factor -5*f**4 - 45*f**3 + 60*f**2 + 100*f.
-5*f*(f - 2)*(f + 1)*(f + 10)
Let 8*s**5 - 12*s**4 - 672*s**3 + 340*s**2 + 14448*s + 7056 = 0. What is s?
-6, -1/2, 7
Find t, given that 3*t**5 - 1170*t**4 - 4710*t**3 - 7080*t**2 - 4725*t - 1182 = 0.
-1, 394
Factor 2*r**2 + 60*r + 352.
2*(r + 8)*(r + 22)
Find b such that -2*b**3 + 1036*b**2 - 134162*b = 0.
0, 259
Solve -3*n**2/5 - 192*n/5 - 549/5 = 0 for n.
-61, -3
Factor 2*n**3/9 - 218*n**2/9 + 2278*n/9 + 224450/9.
2*(n - 67)**2*(n + 25)/9
Determine d so that -100*d**2 + 676*d - 576 = 0.
1, 144/25
Factor 35*r**4 + 150*r**3 + 145*r**2 + 30*r.
5*r*(r + 1)*(r + 3)*(7*r + 2)
Factor -k**3/10 + k**2/5.
-k**2*(k - 2)/10
Factor -5*i**5 + 25*i**4 - 45*i**3 + 35*i**2 - 10*i.
-5*i*(i - 2)*(i - 1)**3
Suppose 2*u**2 + 18*u = 0. What is u?
-9, 0
Determine k so that -2*k**2/7 + 408*k/7 + 1664/7 = 0.
-4, 208
Find o, given that -1125*o**3 + 185325*o**2 + 49480*o + 3300 = 0.
-2/15, 165
Suppose -4*o**3/3 + 40*o**2 + 3532*o/3 - 1216 = 0. What is o?
-19, 1, 48
Find c such that 5*c**2/3 + 590*c = 0.
-354, 0
Let 4*g**5/3 + g**4/2 - 4*g**3 + 7*g**2/6 + g = 0. Calculate g.
-2, -3/8, 0, 1
Factor x**3/4 - x**2.
x**2*(x - 4)/4
Factor -l**3/7 + 13*l**2/7 + l/7 - 13/7.
-(l - 13)*(l - 1)*(l + 1)/7
Factor 4*m**3 - 596*m**2 - 1824*m.
4*m*(m - 152)*(m + 3)
Factor 2*i**2/11 + 30*i/11 + 72/11.
2*(i + 3)*(i + 12)/11
Determine n, given that 16*n**2 + 332*n - 84 = 0.
-21, 1/4
Suppose 8*r**5 - 412*r**4 + 570*r**3 + 1483*r**2 + 847*r + 150 = 0. What is r?
-1/2, 3, 50
Suppose -63*a**4/4 - 303*a**3/4 + 217*a**2/2 - 25*a - 6 = 0. Calculate a.
-6, -1/7, 2/3
Find d such that 4*d**2/3 - 380*d + 1136/3 = 0.
1, 284
Determine i, given that -3*i**4 + 45*i**2 - 30*i - 72 = 0.
-4, -1, 2, 3
Determine t, given that 2*t**4/5 - 14*t**3/5 - 38*t**2/5 + 14*t/5 + 36/5 = 0.
-2, -1, 1, 9
Factor 2*v**3/11 + 68*v**2/11 + 40*v + 624/11.
2*(v + 2)*(v + 6)*(v + 26)/11
Factor 15*s**4 + 55*s**3 + 40*s**2 - 20*s.
5*s*(s + 2)**2*(3*s - 1)
Let 16*i**3 + 636*i**2 + 440*i - 1092 = 0. Calculate i.
-39, -7/4, 1
Let -r**3 - 55*r**2 - 552*r - 1548 = 0. Calculate r.
-43, -6
Factor i**5 - 6*i**4 + 2*i**3 + 20*i**2 - 27*i + 10.
(i - 5)*(i - 1)**3*(i + 2)
Determine a so that -3*a**2/2 - 39*a/2 - 18 = 0.
-12, -1
Find i such that 2*i**5/7 - i**4/7 - 2*i**3 + 19*i**2/7 - 6*i/7 = 0.
-3, 0, 1/2, 1, 2
Factor -d**2/3 - 98*d/3 - 2401/3.
-(d + 49)**2/3
Factor -5*w**2 - 470*w - 465.
-5*(w + 1)*(w + 93)
Let -9*z**5 - 132*z**4 + 207*z**3 + 234*z**2 - 96*z = 0. What is z?
-16, -1, 0, 1/3, 2
Determine q, given that q**2/3 - 2*q/3 - 8 = 0.
-4, 6
Suppose -2*q**2/5 - 836*q/5 = 0. Calculate q.
-418, 0
Determine y so that 6*y**3 + 333*y**2 - 1230*y + 531 = 0.
-59, 1/2, 3
Determine f so that 2*f**2/11 + 42*f/11 + 208/11 = 0.
-13, -8
Suppose -3*s**2/4 + 477*s/2 - 75843/4 = 0. Calculate s.
159
Fac