d - 4)*(d + 4)
Factor -h**2 + 95*h - 924.
-(h - 84)*(h - 11)
Factor 2*u**2/23 - 74*u/23 + 672/23.
2*(u - 21)*(u - 16)/23
Factor -2*t**2/17 - 15204*t/17 - 28895202/17.
-2*(t + 3801)**2/17
Solve 3*g**2/8 - 3587*g/8 - 299/2 = 0 for g.
-1/3, 1196
Find p, given that -2*p**2/3 + 34*p - 196/3 = 0.
2, 49
Factor -3*m**5 - 219*m**4 - 4896*m**3 - 20904*m**2 + 300144*m + 316368.
-3*(m - 6)*(m + 1)*(m + 26)**3
Suppose -2*a**3/5 - 12*a**2/5 - 22*a/5 - 12/5 = 0. Calculate a.
-3, -2, -1
Find r such that 2*r**4/3 + 94*r**3/3 - 194*r**2/3 + 98*r/3 = 0.
-49, 0, 1
What is v in -3*v**2 + 27*v - 60 = 0?
4, 5
Let -4*h**2 + 68*h + 72 = 0. Calculate h.
-1, 18
Factor -2*p**3/7 + 10*p**2/7 + 16*p/7 - 96/7.
-2*(p - 4)**2*(p + 3)/7
Solve f**2 - f - 30 = 0.
-5, 6
Determine m, given that 27*m**3 + 2*m**2 = 0.
-2/27, 0
Factor -4*j**2 - 6464*j - 2611456.
-4*(j + 808)**2
Factor -165*u**2 + 175*u - 10.
-5*(u - 1)*(33*u - 2)
Solve -3*d**5/2 - d**4 + 2*d**3 + d**2 - d/2 = 0 for d.
-1, 0, 1/3, 1
Determine a so that 100*a**4/9 + 1810*a**3/3 + 6916*a**2/9 + 458*a/3 - 212/9 = 0.
-53, -1, -2/5, 1/10
Factor 2*j**4 + 54*j**3 - 174*j**2 + 178*j - 60.
2*(j - 1)**3*(j + 30)
What is d in 98*d**4 + 16226*d**3 + 41196*d**2 + 19576*d + 2608 = 0?
-163, -2, -2/7
Factor 5*a**5 - 10*a**4 - 80*a**3 + 160*a**2.
5*a**2*(a - 4)*(a - 2)*(a + 4)
Let j**4/8 + 3*j**3/4 + 7*j**2/8 - 3*j/4 - 1 = 0. Calculate j.
-4, -2, -1, 1
Solve 4*o**2 - 20*o - 200 = 0.
-5, 10
Factor -2*x**3/5 - 504*x**2/5 - 31752*x/5.
-2*x*(x + 126)**2/5
Solve d**3/4 - 21*d**2/4 + 18*d + 108 = 0.
-3, 12
Suppose y**5/9 - 35*y**3/9 - 10*y**2/3 + 160*y/9 - 32/3 = 0. Calculate y.
-4, 1, 6
Find w, given that -3*w**3/7 - 12*w**2/7 + 45*w/7 + 54/7 = 0.
-6, -1, 3
Solve 5*a**4 - 66*a**3 + 8*a**2 + 66*a - 13 = 0.
-1, 1/5, 1, 13
Determine u, given that -2*u**5/5 + 20*u**4 - 374*u**3/5 + 268*u**2/5 + 376*u/5 - 368/5 = 0.
-1, 1, 2, 46
Suppose j**2/3 - 32*j/3 + 256/3 = 0. Calculate j.
16
Factor s**3 - 12*s**2/7 - 4*s/7.
s*(s - 2)*(7*s + 2)/7
Factor 20*k**3 + 95*k**2 - 145*k + 30.
5*(k - 1)*(k + 6)*(4*k - 1)
Factor 5*y**5 + 25*y**4 + 15*y**3 - 45*y**2.
5*y**2*(y - 1)*(y + 3)**2
Find s, given that 4*s**4 + 60*s**3 + 52*s**2 - 60*s - 56 = 0.
-14, -1, 1
Factor 2*c**3 + 6*c**2.
2*c**2*(c + 3)
Factor -2*z**3 - 18*z**2 + 44*z.
-2*z*(z - 2)*(z + 11)
Factor -4*x**5 + 44*x**4 + 372*x**3 + 612*x**2.
-4*x**2*(x - 17)*(x + 3)**2
Factor s**2/4 + 8*s + 64.
(s + 16)**2/4
Factor -2*o**3/15 + 2*o**2/3 + 4*o/15 - 16/5.
-2*(o - 4)*(o - 3)*(o + 2)/15
Factor -5*o**2 - 440*o + 4365.
-5*(o - 9)*(o + 97)
Factor -q**5/6 - 25*q**4/6 - 15*q**3 - 65*q**2/3 - 85*q/6 - 7/2.
-(q + 1)**4*(q + 21)/6
What is t in -4*t**3 + 36*t**2 - 96*t + 80 = 0?
2, 5
Let 4*j**3 + 592*j**2 + 1172*j + 584 = 0. Calculate j.
-146, -1
Determine a, given that -3*a**5/4 + 13*a**4/4 - 7*a**3/4 - 17*a**2/4 + 3*a/2 = 0.
-1, 0, 1/3, 2, 3
Solve -2*m**3/7 - 218*m**2/7 - 5830*m/7 + 6050/7 = 0.
-55, 1
What is q in 3*q**3/5 - 24*q**2/5 + 48*q/5 = 0?
0, 4
Factor 10*f**3/3 + 86*f**2/3 + 44*f/3 - 32/3.
2*(f + 1)*(f + 8)*(5*f - 2)/3
What is w in 33*w**5/4 - 339*w**4/4 + 177*w**3/2 + 129*w**2/2 - 387*w/4 + 81/4 = 0?
-1, 3/11, 1, 9
Suppose l**4/6 - l**3/2 + 2*l/3 = 0. What is l?
-1, 0, 2
Determine k so that -13924*k**4 - 82600*k**3 - 119668*k**2 + 8400*k - 144 = 0.
-3, 2/59
Factor -3*p**2 + 18*p - 15.
-3*(p - 5)*(p - 1)
Factor -5*i**4 + 82*i**3 + 1453*i**2 - 594*i.
-i*(i - 27)*(i + 11)*(5*i - 2)
Solve -2*o**5 + 18*o**4 + 26*o**3 - 58*o**2 - 24*o + 40 = 0 for o.
-2, -1, 1, 10
Factor 2*a**3/3 - 56*a**2/3 - 58*a/3.
2*a*(a - 29)*(a + 1)/3
Factor 2*q**3 + 28*q**2/5 - 46*q/5 + 8/5.
2*(q - 1)*(q + 4)*(5*q - 1)/5
Factor -2*z**3/3 - 24*z**2 - 288*z - 1152.
-2*(z + 12)**3/3
Suppose -4*i**3 - 96*i**2 - 468*i + 1352 = 0. What is i?
-13, 2
Let -3*k**3 + 21*k**2 = 0. What is k?
0, 7
Let l**2 - 140*l = 0. Calculate l.
0, 140
Factor -5*y**3 + 45*y**2 - 130*y + 120.
-5*(y - 4)*(y - 3)*(y - 2)
Let -2*c**5 - 98*c**4 + 104*c**3 + 200*c**2 = 0. Calculate c.
-50, -1, 0, 2
Suppose -2*w**3/11 - 40*w**2/11 + 2*w/11 + 40/11 = 0. Calculate w.
-20, -1, 1
Factor -3*z**2 - 108*z + 228.
-3*(z - 2)*(z + 38)
Solve d**3/3 + 2*d**2/3 - d = 0 for d.
-3, 0, 1
Factor j**2/5 + 117*j/5 + 1352/5.
(j + 13)*(j + 104)/5
Let -x**5/2 + 4*x**4/5 + 92*x**3/5 + 31*x**2/5 - 179*x/10 - 7 = 0. Calculate x.
-5, -1, -2/5, 1, 7
Suppose -14*o**4 + 66*o**3 + 1378*o**2 + 1662*o + 364 = 0. What is o?
-7, -1, -2/7, 13
Factor q**3 + 13*q**2 - 33*q - 45.
(q - 3)*(q + 1)*(q + 15)
What is v in -v**3/2 - 57*v**2 - 2166*v - 27436 = 0?
-38
Factor k**3 - 51*k**2 + 674*k - 624.
(k - 26)*(k - 24)*(k - 1)
Factor 5*a**3 - 63*a**2 + 154*a + 72.
(a - 9)*(a - 4)*(5*a + 2)
Factor g**4 - 13*g**2 + 12*g.
g*(g - 3)*(g - 1)*(g + 4)
Let -32*y**4/3 + 176*y**3 - 966*y**2 + 5290*y/3 = 0. What is y?
0, 5, 23/4
Determine n, given that -3*n**5 + 24*n**4 + 63*n**3 - 24*n**2 - 60*n = 0.
-2, -1, 0, 1, 10
Find g such that -16*g**5 + 708*g**4 - 2192*g**3 + 2488*g**2 - 1152*g + 164 = 0.
1/4, 1, 41
Solve t**4/6 - 61*t**3/3 + 238*t**2/3 - 236*t/3 = 0.
0, 2, 118
Solve -c**5 - 108*c**4 - 2565*c**3 + 19462*c**2 - 3648*c - 103968 = 0.
-57, -2, 4
Find p, given that -16*p**2/5 - 4*p/15 + 2 = 0.
-5/6, 3/4
Solve -5*p**3/2 + 14*p**2 + 47*p/2 + 7 = 0.
-1, -2/5, 7
What is s in 4*s**4/7 + 496*s**3/7 - 5260*s**2/7 + 13400*s/7 = 0?
-134, 0, 5
Factor 4*g**4/9 + 574*g**3/9 + 284*g**2/3.
2*g**2*(g + 142)*(2*g + 3)/9
Factor f**2/3 + 22*f/3 + 40/3.
(f + 2)*(f + 20)/3
Factor -4*k**4/7 + 360*k**3/7 - 1056*k**2/7 + 1048*k/7 - 348/7.
-4*(k - 87)*(k - 1)**3/7
Factor 7*t**4/2 + 320*t**3 + 1836*t**2 + 3616*t + 2392.
(t + 2)**3*(7*t + 598)/2
Let -2*c**5 + 26*c**4 - 84*c**3 + 116*c**2 - 74*c + 18 = 0. What is c?
1, 9
Let -5*x**2 - 240*x = 0. Calculate x.
-48, 0
Factor z**5/6 - z**4 - z**3/2 + 10*z**2/3 - 2*z.
z*(z - 6)*(z - 1)**2*(z + 2)/6
What is v in 4*v**2 + 328*v - 672 = 0?
-84, 2
Let -2*d**3/11 + 14*d**2/11 - 8*d/11 - 24/11 = 0. What is d?
-1, 2, 6
Factor -m**4 - 3*m**3 + 88*m**2.
-m**2*(m - 8)*(m + 11)
Factor -44180*x**2/3 - 940*x/3 - 5/3.
-5*(94*x + 1)**2/3
Suppose q**2 + 5*q - 14 = 0. Calculate q.
-7, 2
Determine c, given that 5*c**3 - 120*c**2 + 715*c - 600 = 0.
1, 8, 15
Factor h**4 - 18*h**3 + 116*h**2 - 312*h + 288.
(h - 6)**2*(h - 4)*(h - 2)
Factor 2*u**3/11 - 2*u**2/11 - 188*u/11 - 32.
2*(u - 11)*(u + 2)*(u + 8)/11
Factor 98*d**4 - 574*d**3 + 830*d**2 - 426*d + 72.
2*(d - 4)*(d - 1)*(7*d - 3)**2
Determine q so that 2*q**2 - 186*q - 188 = 0.
-1, 94
Suppose z**2/5 + 21*z/5 = 0. What is z?
-21, 0
Solve 15*a**5 + 145*a**4 + 405*a**3 + 495*a**2 + 280*a + 60 = 0.
-6, -1, -2/3
Let -2*w**5/5 + 16*w**4/5 - 6*w**3 - 16*w**2/5 + 32*w/5 = 0. Calculate w.
-1, 0, 1, 4
Factor 4*c**2 - 72*c - 76.
4*(c - 19)*(c + 1)
What is q in 2*q**5/9 + 16*q**4/9 + 4*q**3/3 - 16*q**2/9 - 14*q/9 = 0?
-7, -1, 0, 1
Determine x, given that -5*x**2 + 3470*x - 3465 = 0.
1, 693
Solve -3*q**3/8 - 5*q**2/4 - q/8 + 3/4 = 0 for q.
-3, -1, 2/3
Factor -2*a**4 + 32*a**3 - 28*a**2 - 32*a + 30.
-2*(a - 15)*(a - 1)**2*(a + 1)
Factor -4*s**4 - 36*s**3 - 48*s**2 + 320*s + 768.
-4*(s - 3)*(s + 4)**3
What is w in 6*w**3/7 - 39*w**2/7 + 15*w/7 + 18/7 = 0?
-1/2, 1, 6
Factor 4*n**2 + 32472*n + 65901924.
4*(n + 4059)**2
Factor 3*j**2 + 21108*j + 37128972.
3*(j + 3518)**2
Factor 2*f**3 - 42*f**2.
2*f**2*(f - 21)
Suppose -2*h**2/3 + 208*h/3 + 424/3 = 0. Calculate h.
-2, 106
Factor -o**3 + 103*o**2 - 2703*o + 2601.
-(o - 51)**2*(o - 1)
Factor -d**4/3 - 5*d**3 - 27*d**2 - 63*d - 54.
-(d + 3)**3*(d + 6)/3
Find u, given that 16*u**4 - 28*u**3 - 4*u**2 + 28*u - 12 = 0.
-1, 3/4, 1
Find o such that 2*o**5/7 + 100*o**4/7 - 2*o**3/7 - 100*o**2/7 = 0.
-50, -1, 0, 1
Factor -4*z**3 + 69*z**2 - 137*z + 30.
-(z - 15)*(z - 2)*(4*z - 1)
Factor 15*g**4 + 70*g**3 + 35*g**2 - 20*g.
5*g*(g + 1)*(g + 4)*(3*g - 1)
Suppose -28*t**3 + 33384*t**2 - 9955584*t + 2841728 = 0. What is t?
2/7, 596
Find q, given that 2*q**4 - 28*q**3 + 120*q**2 - 208*q + 128 = 0.
2, 8
Factor -5*z**2 + 135*z - 250.
-5*(z - 25)*(z - 2)
Let -6*j**4 + 351*j**3 + 192*j**2 - 891*j + 354 = 0. Calculate j.
-2, 1/2, 1, 59
Determine i so that -2*i**2 + 2*i = 0.
0, 1
Find u such that u**3 + 27*u**2 + 51*u + 25 = 0.
-25, -1
Factor -t**2/9 - 440*t/9 - 725/3.
-(t + 5)*(t + 435)/9
Solve 3*g**2 - 24*g - 315 = 0.
-7, 15
Factor 2*t**4 + 1074*t**3