- 1)*(w + 2)*(w + 134)/4
Find b such that -b**4 - 37*b**3 - 137*b**2 - 167*b - 66 = 0.
-33, -2, -1
Solve 25*b**5 + 510*b**4 + 3500*b**3 + 8520*b**2 + 2880*b = 0.
-8, -6, -2/5, 0
Factor 6*t**4/17 - 4*t**3 + 22*t**2/17.
2*t**2*(t - 11)*(3*t - 1)/17
Let -2*r**3 + 6*r**2 + 200*r + 192 = 0. Calculate r.
-8, -1, 12
Factor -i**2 + 22*i.
-i*(i - 22)
Solve -95*p**2/11 + 192*p/11 - 4/11 = 0 for p.
2/95, 2
Factor -4*x**3 + 1180*x**2 + 3592*x - 4768.
-4*(x - 298)*(x - 1)*(x + 4)
Find k such that -5*k**5 - 40*k**4 + 55*k**3 + 90*k**2 = 0.
-9, -1, 0, 2
Factor o**5 - 17*o**4 - 18*o**3.
o**3*(o - 18)*(o + 1)
Let -l**4/6 + 7*l**3/3 - 15*l**2/2 + 26*l/3 - 10/3 = 0. Calculate l.
1, 2, 10
Factor -4*s**4 + 56*s**3 - 228*s**2 + 160*s + 448.
-4*(s - 7)*(s - 4)**2*(s + 1)
Suppose 3*q**4/7 + 6*q**3 + 36*q**2/7 - 6*q - 39/7 = 0. Calculate q.
-13, -1, 1
Suppose -2*w**3/11 - 204*w**2/11 - 784*w/11 = 0. What is w?
-98, -4, 0
Factor n**4 + 51*n**3 + 99*n**2 + 49*n.
n*(n + 1)**2*(n + 49)
Find d, given that 5*d**5 + 45*d**4 - 555*d**3 + 215*d**2 + 2250*d + 1440 = 0.
-16, -1, 3, 6
Suppose -2*n**3 + 10*n**2 + 2*n - 10 = 0. Calculate n.
-1, 1, 5
Factor 16*a**2/3 + 332*a/3 - 28.
4*(a + 21)*(4*a - 1)/3
Find r such that -2*r**4/5 + 28*r**3/5 - 104*r**2/5 + 132*r/5 - 54/5 = 0.
1, 3, 9
Factor -4*v**2/5 - 13416*v/5 - 11249316/5.
-4*(v + 1677)**2/5
Find q, given that -4*q**3 + 304*q**2 = 0.
0, 76
Factor 2*a**5 - 54*a**4.
2*a**4*(a - 27)
Factor f**2/7 - 44*f/7 + 484/7.
(f - 22)**2/7
Factor -4*p**2/3 - 404*p/3 - 400/3.
-4*(p + 1)*(p + 100)/3
Find d such that -18*d**3 + 2636*d**2 - 10520*d/9 + 1168/9 = 0.
2/9, 146
What is l in l**3/6 - 7*l**2/6 + 2*l/3 + 2 = 0?
-1, 2, 6
Find u such that -3*u**2 + 45*u + 48 = 0.
-1, 16
Let 3*z**4/4 + 9*z**3/2 - 165*z**2/4 - 288*z - 432 = 0. Calculate z.
-8, -3, 8
Let -2*s**4/3 - 14*s**3 + 34*s**2 + 218*s/3 - 92 = 0. What is s?
-23, -2, 1, 3
Factor 5*z**5 + 20*z**4 - 80*z**2 - 80*z.
5*z*(z - 2)*(z + 2)**3
Factor b**5/8 - 21*b**4/8 + 143*b**3/8 - 259*b**2/8 - 147*b/2 + 343/2.
(b - 7)**3*(b - 2)*(b + 2)/8
Factor -9*l**3/2 + 30*l**2 - 18*l.
-3*l*(l - 6)*(3*l - 2)/2
Factor -15*c**2 - 20215*c - 13470.
-5*(c + 1347)*(3*c + 2)
Determine w, given that 2*w**5/5 - 22*w**4/5 - 48*w**3/5 + 288*w**2/5 = 0.
-4, 0, 3, 12
Factor x**2/3 - 23*x + 66.
(x - 66)*(x - 3)/3
Find j such that -3*j**2/8 - 639*j/8 = 0.
-213, 0
Factor 5*f**2/4 + 1165*f/4 + 290.
5*(f + 1)*(f + 232)/4
Factor -3*u**2 + 1158*u - 111747.
-3*(u - 193)**2
Factor 2*g**3/7 - 28*g**2 + 570*g/7.
2*g*(g - 95)*(g - 3)/7
Factor 3*d**3 + 3753*d**2 + 7497*d + 3747.
3*(d + 1)**2*(d + 1249)
Solve -3*o**3 + 90*o**2 - 171*o - 8664 = 0 for o.
-8, 19
Find p such that 15*p**4 + 35*p**3 - 180*p**2 + 100*p = 0.
-5, 0, 2/3, 2
Factor -i**2/10 - 83*i/10.
-i*(i + 83)/10
What is m in -2*m**4 - 10*m**3 + 128*m**2 + 568*m + 576 = 0?
-9, -2, 8
Let -2*b**5 + 18*b**4 - 20*b**3 - 60*b**2 + 22*b + 42 = 0. What is b?
-1, 1, 3, 7
Factor -5*z**3 - 145*z**2 + 5*z + 145.
-5*(z - 1)*(z + 1)*(z + 29)
Factor f**4/5 + 11*f**3/5 + 42*f**2/5 + 64*f/5 + 32/5.
(f + 1)*(f + 2)*(f + 4)**2/5
Factor -2*i**4 - 2*i**3 + 4*i**2.
-2*i**2*(i - 1)*(i + 2)
Factor 2*c**4/23 - 14*c**2/23 - 12*c/23.
2*c*(c - 3)*(c + 1)*(c + 2)/23
Let 4*t**2 - 5616*t + 1971216 = 0. Calculate t.
702
Let -3*n**2/5 + 432*n/5 - 15552/5 = 0. What is n?
72
Find a such that 4*a**3/5 - 11*a**2 + 182*a/5 + 49/5 = 0.
-1/4, 7
What is k in -4*k**4 - 2284*k**3 - 2280*k**2 = 0?
-570, -1, 0
Factor -h**2 + 2698*h - 1819801.
-(h - 1349)**2
Solve 6*f**5 + 14*f**4 - 12*f**3 = 0.
-3, 0, 2/3
Solve t**2 + 3*t = 0.
-3, 0
Factor 3*k**2/4 + 363*k/2 - 2205/4.
3*(k - 3)*(k + 245)/4
Factor 42*h**2 + 5540*h - 528.
2*(h + 132)*(21*h - 2)
Factor 14*l**4 + 424*l**3 + 3270*l**2 + 900*l.
2*l*(l + 15)**2*(7*l + 2)
Factor 5*h**4 + 1180*h**3 + 69620*h**2.
5*h**2*(h + 118)**2
What is m in -3*m**4 - 13*m**3 + 28*m**2 - 12*m = 0?
-6, 0, 2/3, 1
Find q such that -45*q**5 - 615*q**4 - 2465*q**3 - 3605*q**2 - 1670*q - 240 = 0.
-8, -3, -2, -1/3
Factor z**3 - 522*z**2 + 90828*z - 5268024.
(z - 174)**3
Factor 2*m**3 - 20*m**2 + 48*m.
2*m*(m - 6)*(m - 4)
Let 9*z**5 - 30*z**4 + 3*z**3 + 54*z**2 - 12*z - 24 = 0. What is z?
-1, -2/3, 1, 2
Factor -m**5/5 - 16*m**4/5 - 28*m**3/5.
-m**3*(m + 2)*(m + 14)/5
Find z, given that -3*z**4/2 + 99*z**3 - 1935*z**2/2 + 3372*z - 3960 = 0.
3, 4, 55
Factor -3*c**3/2 - 21*c**2 + 405*c/2 - 378.
-3*(c - 4)*(c - 3)*(c + 21)/2
Solve -l**3/4 + 17*l**2/2 + 71*l/4 + 9 = 0 for l.
-1, 36
Let q**4/2 + 6*q**3 + 10*q**2 = 0. Calculate q.
-10, -2, 0
Factor -2*x**2/5 + 124*x/5 - 1922/5.
-2*(x - 31)**2/5
Suppose 45*z**4 - 174*z**3 + 156*z**2 + 24*z = 0. What is z?
-2/15, 0, 2
Factor y**2/5 + 103*y/5 - 428/5.
(y - 4)*(y + 107)/5
Suppose 16*n**3 + 132*n**2 + 224*n + 48 = 0. Calculate n.
-6, -2, -1/4
Find l such that -l**3 - 4*l**2 + 5*l = 0.
-5, 0, 1
What is d in 8*d**4/9 + 1720*d**3/9 + 91586*d**2/9 - 10320*d + 2592 = 0?
-108, 1/2
Factor -5*v**5 - 15*v**4 - 10*v**3.
-5*v**3*(v + 1)*(v + 2)
Factor -2*u**3/21 - 2*u**2/7 + 194*u/21 + 66/7.
-2*(u - 9)*(u + 1)*(u + 11)/21
Factor 5*c**2 + 990*c - 7175.
5*(c - 7)*(c + 205)
Let -5*q**3 + 1385*q**2 - 4110*q = 0. What is q?
0, 3, 274
Determine f so that 8*f**5 - 2*f**4 - 104*f**3 + 122*f**2 - 24*f = 0.
-4, 0, 1/4, 1, 3
Let 2*c**4 + 140*c**3 + 3432*c**2 + 32912*c + 85184 = 0. Calculate c.
-22, -4
Factor 4*o**2/9 + 652*o/9 + 1288/9.
4*(o + 2)*(o + 161)/9
Factor -4*a**3 - 36*a**2 - 108*a - 108.
-4*(a + 3)**3
Factor 2*v**2/3 + 40*v - 122/3.
2*(v - 1)*(v + 61)/3
Suppose -5*n**2 + 130*n + 280 = 0. Calculate n.
-2, 28
Solve 21*r**4 + 78*r**3 + 51*r**2 - 78*r - 72 = 0.
-2, -12/7, -1, 1
Find a, given that -a**3/8 + 7*a**2/8 - 3*a/4 = 0.
0, 1, 6
Find f such that -f**2/2 - 158*f - 12482 = 0.
-158
Determine g, given that g**4/7 - 300*g**3/7 - 603*g**2/7 - 302*g/7 = 0.
-1, 0, 302
Factor 9*u**3/4 - 43*u**2/8 + 33*u/8 - 1.
(u - 1)*(2*u - 1)*(9*u - 8)/8
Factor 3*s**3 + 51*s**2 + 48*s.
3*s*(s + 1)*(s + 16)
Let 2*v**5/7 - 24*v**4/7 - 8*v**3 + 436*v**2/7 - 618*v/7 + 260/7 = 0. Calculate v.
-5, 1, 2, 13
Find x, given that 2*x**2/9 + 112*x/9 - 160/3 = 0.
-60, 4
Let 2*l**4 - 196*l**3 + 762*l**2 - 944*l + 376 = 0. What is l?
1, 2, 94
Factor 2*y**2/21 - 118*y/21 + 116/21.
2*(y - 58)*(y - 1)/21
Solve -3*q**3/2 - 32*q**2 - 81*q/2 - 10 = 0.
-20, -1, -1/3
Find v such that -25*v**2 + 10*v = 0.
0, 2/5
Suppose -4*j**4/7 - 128*j**3/7 - 760*j**2/7 - 1536*j/7 - 900/7 = 0. Calculate j.
-25, -3, -1
Factor 4*y**3 - 76*y + 120.
4*(y - 3)*(y - 2)*(y + 5)
Find g such that 2*g**2 + 28*g + 98 = 0.
-7
Factor 2*j**3/11 - 98*j**2/11 - 1552*j/11 - 3720/11.
2*(j - 62)*(j + 3)*(j + 10)/11
Determine g, given that 3*g**5/8 + 3*g**4/2 + 9*g**3/8 - 3*g**2/2 - 3*g/2 = 0.
-2, -1, 0, 1
Factor 4*z**5/7 + 4*z**4/7 - 44*z**3/7 - 116*z**2/7 - 104*z/7 - 32/7.
4*(z - 4)*(z + 1)**3*(z + 2)/7
Suppose -6*l**3/7 - 54*l**2/7 = 0. What is l?
-9, 0
Determine z, given that -9*z**5 + 81*z**4/2 - 79*z**3/2 - 19*z**2/2 + 41*z/2 - 3 = 0.
-2/3, 1/6, 1, 3
Factor -3*o**3/4 + 2047*o**2/2 + 1365*o/4.
-o*(o - 1365)*(3*o + 1)/4
Find q, given that 2*q**5 + 18*q**4 + 42*q**3 - 2*q**2 - 60*q = 0.
-5, -3, -2, 0, 1
Factor -3*r**2/2 - 39*r/2 - 18.
-3*(r + 1)*(r + 12)/2
Find f, given that 3*f**3/7 + 306*f**2/7 + 897*f/7 + 594/7 = 0.
-99, -2, -1
Factor -l**2 - 25*l - 144.
-(l + 9)*(l + 16)
Find s such that -s**2/4 - 7*s/2 + 95/4 = 0.
-19, 5
Factor -3*u**4 + 3*u**3/7.
-3*u**3*(7*u - 1)/7
Factor 5*x**3 + 120*x**2 + 415*x + 300.
5*(x + 1)*(x + 3)*(x + 20)
Determine i, given that -2*i**4/5 + 14*i**3/5 + 104*i**2/5 + 184*i/5 + 96/5 = 0.
-2, -1, 12
Suppose 5*h**2/2 - h/2 - 21 = 0. What is h?
-14/5, 3
Suppose 32*c**3/5 - 432*c**2/5 + 1218*c/5 + 1682/5 = 0. Calculate c.
-1, 29/4
Suppose 4*t**5 - 200*t**4 + 3172*t**3 - 16800*t**2 + 28224*t = 0. Calculate t.
0, 4, 21
Factor -4*d**3 - 144*d**2 - 1536*d - 4096.
-4*(d + 4)*(d + 16)**2
Factor 4*n**2 + 1824*n + 207936.
4*(n + 228)**2
Solve 8*v**5 + 14*v**4 - 108*v**3 + 106*v**2 - 20*v = 0 for v.
-5, 0, 1/4, 1, 2
What is c in 4*c**5/11 - 78*c**4/11 + 294*c**3/11 - 370*c**2/11 + 150*c/11 = 0?
0, 1, 5/2, 15
Suppose 2*x**4/13 + 4*x**3 + 138*x**2/13 - 8*x/13 - 184/13 = 0. Calculate x.
-23, -2, 1
Factor 30*s**3/7 - 68*s**2/7 + 46*s/7 - 8/7.
2*(s - 1)**2*(15*s - 4)/7
Suppose 2*j**2/11 + 40*j/11 + 38/11 = 0. What is j?
-19, -1