= 0.
2/11, 1, 27
Determine a, given that a**3 + 141*a**2 + 416*a + 276 = 0.
-138, -2, -1
Factor -y**4 + y**3 + y**2 - y.
-y*(y - 1)**2*(y + 1)
Suppose -r**4/4 + 14*r**3 - 27*r**2/2 - 14*r + 55/4 = 0. What is r?
-1, 1, 55
Factor 90*h**2/7 - 94*h/7 + 4/7.
2*(h - 1)*(45*h - 2)/7
Factor 36*x**3 - 404*x**2 + 88*x.
4*x*(x - 11)*(9*x - 2)
Factor 2*b**2 + 640*b + 51200.
2*(b + 160)**2
Determine j so that 2*j**5/3 + 82*j**4/3 + 316*j**3 + 2084*j**2/3 - 950*j/3 - 722 = 0.
-19, -3, -1, 1
Solve -20*a**4 - 25*a**3 + 155*a**2 + 280*a + 60 = 0.
-2, -1/4, 3
Determine v so that 2*v**5 - 8*v**4 + 20*v**2 - 2*v - 12 = 0.
-1, 1, 2, 3
What is o in 4*o**2/3 + 60*o - 376/3 = 0?
-47, 2
Factor -4*t**3 + 28*t**2 + 32*t.
-4*t*(t - 8)*(t + 1)
Find s such that -4*s**5/7 - 12*s**4/7 + 12*s**3 + 172*s**2/7 - 240*s/7 = 0.
-5, -3, 0, 1, 4
Factor 3*f**3/2 + 99*f**2/2 - 51*f.
3*f*(f - 1)*(f + 34)/2
Factor n**2/3 - 8000*n/3 + 16000000/3.
(n - 4000)**2/3
Find s such that s**2 - 7228*s + 13060996 = 0.
3614
Solve -r**2/3 - 1054*r/3 - 277729/3 = 0.
-527
Find d such that 3*d**2 + 1878*d + 293907 = 0.
-313
Let 2*b**4 - 150*b**3 + 2732*b**2 + 3192*b - 5776 = 0. What is b?
-2, 1, 38
What is d in 2*d**4/15 + 292*d**3/15 + 3142*d**2/5 - 89936*d/15 + 189728/15 = 0?
-77, 4
What is d in d**3 + 6*d**2 - 36*d - 216 = 0?
-6, 6
What is f in -15*f**4/7 - 171*f**3/7 + 174*f**2/7 + 4896*f/7 + 1920/7 = 0?
-8, -2/5, 5
Determine w so that -w**3 - 27*w**2 - 51*w - 25 = 0.
-25, -1
Solve 5*z**3 - 15010*z**2 + 11249980*z + 22560040 = 0 for z.
-2, 1502
Factor -2*x**2/21 - 26*x/21 - 8/7.
-2*(x + 1)*(x + 12)/21
Let -k**5 - 3*k**4 + 17*k**3 + 87*k**2 + 128*k + 60 = 0. What is k?
-3, -2, -1, 5
Factor q**3/2 - 39*q**2/2 - 756*q.
q*(q - 63)*(q + 24)/2
Factor -4*z**3/3 + 28*z**2 - 147*z + 686/3.
-(z - 14)*(2*z - 7)**2/3
Let 2*h**5/11 + 2*h**4/11 - 144*h**3/11 = 0. Calculate h.
-9, 0, 8
Solve i**5/4 + 5*i**4/2 + 17*i**3/2 + 13*i**2 + 37*i/4 + 5/2 = 0.
-5, -2, -1
Solve r**5/4 + 7*r**4/4 + 15*r**3/4 + 5*r**2/4 - 4*r - 3 = 0.
-3, -2, -1, 1
Determine m, given that 9*m**4/7 + 29*m**3/7 + 6*m**2/7 - 36*m/7 - 8/7 = 0.
-2, -2/9, 1
Suppose 12*h**5/7 + 171*h**4/7 + 810*h**3/7 + 1560*h**2/7 + 1098*h/7 + 27 = 0. What is h?
-7, -3, -1, -1/4
Find z such that -4*z**2 + 572*z + 1752 = 0.
-3, 146
Factor 5*j**3 + 75*j**2 + 135*j + 65.
5*(j + 1)**2*(j + 13)
Determine k so that 2*k**5 - 8*k**4 - 6*k**3 + 36*k**2 = 0.
-2, 0, 3
Factor 3*q**4 - 2166*q**3 - 6516*q**2 - 6522*q - 2175.
3*(q - 725)*(q + 1)**3
Find r, given that -512*r**5 - 5440*r**4 + 2094*r**3 - 198*r**2 = 0.
-11, 0, 3/16
Factor -15*o**3 + 96*o**2 - 27*o - 54.
-3*(o - 6)*(o - 1)*(5*o + 3)
Factor 2*d**4/11 - 24*d**3/11 + 60*d**2/11 - 56*d/11 + 18/11.
2*(d - 9)*(d - 1)**3/11
Factor -5*x**3 - 110*x**2 - 480*x + 1440.
-5*(x - 2)*(x + 12)**2
Factor 2*i**3/9 + 58*i**2/9 + 430*i/9 + 950/9.
2*(i + 5)**2*(i + 19)/9
Let -4*m**3 - 60*m**2 - 252*m - 324 = 0. What is m?
-9, -3
What is a in 5*a**3/3 + 30*a**2 - 200*a/3 = 0?
-20, 0, 2
Solve -28*c**2 - 5496*c - 1568 = 0.
-196, -2/7
Factor 18373922*y**3 + 18398170*y**2 + 24256*y + 8.
2*(y + 1)*(3031*y + 2)**2
Suppose 70*x**5/9 + 1922*x**4/9 - 1730*x**3/3 + 4454*x**2/9 - 1376*x/9 + 40/3 = 0. Calculate x.
-30, 1/7, 2/5, 1
Find z, given that -44652*z**5 + 62464*z**4 + 70468*z**3 - 34584*z**2 + 2032*z - 32 = 0.
-1, 2/61, 1/3, 2
Suppose -m**2/5 + 36*m/5 - 299/5 = 0. What is m?
13, 23
Factor -m**2/2 - 13*m - 169/2.
-(m + 13)**2/2
Find z such that -z**2/5 + 38*z/5 + 864/5 = 0.
-16, 54
Solve -n**2 + 32*n - 255 = 0.
15, 17
Factor -s**3 + 537*s**2 - 71280*s - 218700.
-(s - 270)**2*(s + 3)
Solve -4*t**5 + 16*t**4 + 496*t**3 - 2176*t**2 - 15360*t + 73728 = 0.
-8, 6, 8
Find z, given that -132*z**3/5 - 34*z**2/5 + 16*z - 18/5 = 0.
-1, 1/3, 9/22
Solve 24*k**4 - 4*k**3 - 24*k**2 + 4*k = 0.
-1, 0, 1/6, 1
Find s, given that -4*s**5 + 88*s**4 - 276*s**3 - 288*s**2 + 1296*s = 0.
-2, 0, 3, 18
Factor -5*y**4 - 30*y**3 - 55*y**2 - 30*y.
-5*y*(y + 1)*(y + 2)*(y + 3)
Find p, given that 3*p**4 + p**3/2 - 7*p**2/2 = 0.
-7/6, 0, 1
Suppose 64*i**5 + 17696*i**4 - 44508*i**3 + 36788*i**2 - 11156*i + 1116 = 0. Calculate i.
-279, 1/4, 1
Factor 2*q**2/7 + 158*q/7 - 160/7.
2*(q - 1)*(q + 80)/7
Suppose 4*j**3 + 192*j**2 + 1148*j = 0. Calculate j.
-41, -7, 0
Find x, given that 5*x**4 + 10*x**3 - 100*x**2 - 330*x - 225 = 0.
-3, -1, 5
What is x in 28*x**3 + 1752*x**2 - 772*x - 1008 = 0?
-63, -4/7, 1
Factor 5*b**2 + 4210*b + 886205.
5*(b + 421)**2
Factor -2*f**4/5 + 34*f**3/5 - 32*f**2/5.
-2*f**2*(f - 16)*(f - 1)/5
Factor -4*d**3 - 140*d**2 - 136*d.
-4*d*(d + 1)*(d + 34)
Factor 4*p**4 + 3272*p**3 - 12*p**2 - 9824*p - 6544.
4*(p - 2)*(p + 1)**2*(p + 818)
Determine k so that -k**4 - 9*k**3 + 34*k**2 - 24*k = 0.
-12, 0, 1, 2
Determine i, given that -i**4/3 + 2*i**2 + 8*i/3 + 1 = 0.
-1, 3
Factor -5*t**2 + 790*t - 31205.
-5*(t - 79)**2
Factor 4*d**5/3 + 16*d**4/3 + 20*d**3/3 + 8*d**2/3.
4*d**2*(d + 1)**2*(d + 2)/3
Suppose -154*v**3/5 + 1074*v**2/5 + 28*v/5 = 0. Calculate v.
-2/77, 0, 7
Factor k**4/5 + 3*k**3/5 - 9*k**2/5 - 23*k/5 - 12/5.
(k - 3)*(k + 1)**2*(k + 4)/5
Suppose -5*a**5 + 65*a**4 + 560*a**3 - 6860*a**2 - 8160*a + 14400 = 0. Calculate a.
-10, -2, 1, 12
Determine x so that 9*x**3/5 - 2*x**2/5 - 9*x/5 + 2/5 = 0.
-1, 2/9, 1
Factor -2*l**2 + 436*l + 1776.
-2*(l - 222)*(l + 4)
Factor -256*f**2 + 260*f - 4.
-4*(f - 1)*(64*f - 1)
Solve 2*c**2/11 - 13620*c/11 + 23188050/11 = 0 for c.
3405
Let 15*r**2 - 140*r - 800 = 0. Calculate r.
-4, 40/3
Solve 2*d**3/9 - 476*d**2/9 - 1928*d/9 - 1936/9 = 0 for d.
-2, 242
Factor -5*i**2/3 - 46*i/3 - 41/3.
-(i + 1)*(5*i + 41)/3
Solve 3*w**5/4 - 15*w**4/2 + 6*w**3 + 84*w**2 - 36*w - 216 = 0 for w.
-2, 2, 6
Let -3*h**2/5 - 1686*h/5 - 236883/5 = 0. What is h?
-281
Solve u**4/2 - 9*u**3/2 - 15*u**2/2 + 325*u/2 - 375 = 0.
-6, 5
Suppose 4*p**5 + 276*p**4 - 8*p**3 - 552*p**2 + 4*p + 276 = 0. What is p?
-69, -1, 1
Find c, given that -4*c**3/5 - 4*c**2 - 24*c/5 = 0.
-3, -2, 0
Solve 15*a**4 - 1595*a**3 - 1085*a**2 + 1595*a + 1070 = 0 for a.
-1, -2/3, 1, 107
Factor 49*t**3 + 1659*t**2 + 1395*t + 297.
(t + 33)*(7*t + 3)**2
Factor -d**2/3 - 31*d/3 - 10.
-(d + 1)*(d + 30)/3
Find m such that -2*m**5/9 - 4*m**4/3 + 2*m**3/9 + 4*m**2/3 = 0.
-6, -1, 0, 1
Suppose -2*a**2/3 - 8*a - 22/3 = 0. Calculate a.
-11, -1
Factor -5*l**4 + 120*l**3 - 425*l**2 + 510*l - 200.
-5*(l - 20)*(l - 2)*(l - 1)**2
Let 2*l**5/5 - 24*l**3/5 + 4*l**2/5 + 54*l/5 - 36/5 = 0. Calculate l.
-3, -2, 1, 3
Solve s**2/3 + 257*s/3 + 170 = 0.
-255, -2
Find h, given that 3*h**4 - 6*h**3 + 6*h - 3 = 0.
-1, 1
Factor 5*q**4 - 300*q**3 + 5015*q**2 - 14280*q - 19600.
5*(q - 28)**2*(q - 5)*(q + 1)
Factor -5*z**2/2 + 25*z + 360.
-5*(z - 18)*(z + 8)/2
Factor i**4/5 - 591*i**3/5 - 356*i**2 - 1188*i/5.
i*(i - 594)*(i + 1)*(i + 2)/5
Factor 5*q**2 + 615*q + 610.
5*(q + 1)*(q + 122)
Suppose -4*l**2 + 2032*l - 258064 = 0. Calculate l.
254
Factor 2*n**3/7 - 4*n**2/7 - 6*n/7.
2*n*(n - 3)*(n + 1)/7
Factor h**2 + 936*h + 219024.
(h + 468)**2
Factor g**3 + 3*g**2 - 6*g - 8.
(g - 2)*(g + 1)*(g + 4)
Factor 2*r**3/9 + 4*r**2/3 - 8*r/9 - 16/3.
2*(r - 2)*(r + 2)*(r + 6)/9
Solve q**4 - 6*q**3 + 5*q**2 = 0 for q.
0, 1, 5
Factor -v**3/7 - 9*v**2/7 - 24*v/7 - 16/7.
-(v + 1)*(v + 4)**2/7
Suppose -h**2/4 - 7*h/2 + 8 = 0. Calculate h.
-16, 2
Let 2*g**3 - 1236*g**2 + 190962*g = 0. Calculate g.
0, 309
Suppose x**5/5 - 107*x**4/5 + 2807*x**3/5 + 3023*x**2/5 - 2808*x/5 - 2916/5 = 0. What is x?
-1, 1, 54
Factor 2*f**3 + 502*f**2 + 33184*f + 208376.
2*(f + 7)*(f + 122)**2
Factor a**4 - 87*a**3 - 89*a**2 + 87*a + 88.
(a - 88)*(a - 1)*(a + 1)**2
Find p, given that -5*p**5 - 75*p**4 - 315*p**3 - 245*p**2 = 0.
-7, -1, 0
Solve -w**5 + 927*w**4 - 286443*w**3 + 29503629*w**2 = 0.
0, 309
Find b such that -3*b**2 + 36378*b - 110279907 = 0.
6063
Determine a so that a**5/8 - 167*a**4/8 + 8119*a**3/8 - 96265*a**2/8 + 46417*a - 35378 = 0.
1, 7, 76
Suppose -605*q**3 + 9185*q**2 - 1655*q + 75 = 0. What is q?
1/11, 15
Factor -x**2/3 - 2*x/3 + 96.
-(x - 16)*(x + 18)/3
Suppose -5*m**2 + 125*m - 230 = 0. Calculate m.
2, 23
Factor -2*k**2 - 206*k + 420.
-2*(k - 2)*(k + 105)
What is s in 42*s**3 + 3*s**2 - 42*s - 3 = 0?
-1, -1/14, 1
Solve s**2 + 98*s + 2401 = 0.
-49
Factor 4*w**4 - 36*w**3 + 80*w**2 - 48*w.
4*w*(w - 6)*(w - 2)*(w - 1)
Suppose 3*k**2 + 39