t 3*t**2 + 69*t - 72 = 0. What is t?
-24, 1
Factor y**3/5 + 114*y**2/5 + 672*y + 6272/5.
(y + 2)*(y + 56)**2/5
Let -3*z**4/8 - 39*z**3/8 + 9*z**2/8 + 891*z/8 - 729/4 = 0. Calculate z.
-9, 2, 3
Factor 4*t**4/7 - 4*t**3/7 - 12*t**2/7 + 4*t/7 + 8/7.
4*(t - 2)*(t - 1)*(t + 1)**2/7
Solve 4*h**4 + 4*h**3 - 48*h**2 - 112*h - 64 = 0 for h.
-2, -1, 4
Factor -5*d**2 - 235*d + 240.
-5*(d - 1)*(d + 48)
Solve j**5 - 5*j**4 - 11*j**3 + 33*j**2 - 18*j = 0.
-3, 0, 1, 6
Factor -2*l**3 - 162*l**2 + 332*l.
-2*l*(l - 2)*(l + 83)
Factor -y**4/4 - 25*y**3/4 - 81*y**2/4 + 945*y/4 - 675/2.
-(y - 3)*(y - 2)*(y + 15)**2/4
Factor -2*a**2/13 + 10*a/13 + 12/13.
-2*(a - 6)*(a + 1)/13
Factor -h**2/12 + 115*h/6.
-h*(h - 230)/12
Let -3*v**2 - 12*v + 63 = 0. What is v?
-7, 3
Solve 3*x**2 + 387*x - 786 = 0.
-131, 2
Factor 2*s**2 - 1860*s + 432450.
2*(s - 465)**2
Determine m, given that -8*m**5/21 - 200*m**4/21 - 1130*m**3/21 - 760*m**2/7 - 510*m/7 - 108/7 = 0.
-18, -3, -1/2
Factor 5*y**4 + 1770*y**3 + 158385*y**2 + 304480*y - 464640.
5*(y - 1)*(y + 3)*(y + 176)**2
Let 5*s**5 - 70*s**4 + 85*s**3 + 1660*s**2 - 1920*s - 11520 = 0. What is s?
-3, 4, 8
Suppose -x**2/4 - 66*x - 4356 = 0. What is x?
-132
Suppose d**4 - 120*d**3 + 119*d**2 = 0. Calculate d.
0, 1, 119
Factor g**5 - 6*g**4 + 13*g**3 - 12*g**2 + 4*g.
g*(g - 2)**2*(g - 1)**2
Factor -4*h**5 - 12*h**4/5 + 8*h**3/5.
-4*h**3*(h + 1)*(5*h - 2)/5
Factor 3*i**4 - 33*i**3.
3*i**3*(i - 11)
Find v, given that v**3/6 - 125*v**2/2 + 373*v/3 = 0.
0, 2, 373
Factor 2*f**3 + 26*f**2 + 102*f + 126.
2*(f + 3)**2*(f + 7)
Factor y**3 - 44*y**2 + 85*y - 42.
(y - 42)*(y - 1)**2
Factor 20*w**5 - 195*w**4 - 50*w**3.
5*w**3*(w - 10)*(4*w + 1)
Factor k**4 - 31*k**3 + 216*k**2 - 396*k.
k*(k - 22)*(k - 6)*(k - 3)
Determine z so that 3*z**3 - 2304*z**2 - 4617*z - 2310 = 0.
-1, 770
Suppose -3*q**4 + 27*q**3 = 0. What is q?
0, 9
Suppose 4*m**3/7 + 1660*m**2/7 + 171392*m/7 - 173056/7 = 0. What is m?
-208, 1
Factor 5*u**2 + 140*u - 640.
5*(u - 4)*(u + 32)
Solve -4*z**2 - 424*z - 1632 = 0 for z.
-102, -4
Factor -2*r**3 + 618*r**2 - 1228*r.
-2*r*(r - 307)*(r - 2)
What is j in -8*j**3/11 + 18*j**2/11 + 116*j/11 - 30/11 = 0?
-3, 1/4, 5
Factor -4*v**3 - 308*v**2 - 7564*v - 57660.
-4*(v + 15)*(v + 31)**2
Determine l so that -2*l**5 + 18*l**4 + 140*l**3 = 0.
-5, 0, 14
Factor -2*f**3/3 + 6*f**2 + 68*f/3 + 16.
-2*(f - 12)*(f + 1)*(f + 2)/3
Factor -2*c**2/3 - 80*c/3 + 56.
-2*(c - 2)*(c + 42)/3
Factor -4*b**4 - 4240*b**3 - 1685400*b**2 - 297754000*b - 19726202500.
-4*(b + 265)**4
Determine h, given that 2*h**2/7 + 82*h/7 + 80/7 = 0.
-40, -1
Factor 2*t**3/7 + 172*t**2/7 + 170*t/7.
2*t*(t + 1)*(t + 85)/7
Determine v, given that -3*v**2/7 - 105*v + 738/7 = 0.
-246, 1
Factor 50*t**3/3 + 2210*t**2/3 + 866*t + 258.
2*(t + 43)*(5*t + 3)**2/3
Let 3*m**5 + 22*m**4 - 106*m**3 + 156*m**2 - 97*m + 22 = 0. Calculate m.
-11, 2/3, 1
What is d in 2*d**5 + 167*d**4/3 + 1280*d**3/3 + 1918*d**2/3 + 634*d/3 - 55 = 0?
-15, -11, -1, 1/6
Determine f so that f**2 + 49*f + 48 = 0.
-48, -1
Factor 5*b**3 - 65*b + 60.
5*(b - 3)*(b - 1)*(b + 4)
Factor -4*l**4 + 112*l**3 - 100*l**2 - 216*l.
-4*l*(l - 27)*(l - 2)*(l + 1)
Factor -4*v**5 - 8*v**4 + 8*v**2 + 4*v.
-4*v*(v - 1)*(v + 1)**3
Factor 3*i**2 - 174*i + 171.
3*(i - 57)*(i - 1)
Factor -3*t**5/2 + 15*t**4/2 - 6*t**3.
-3*t**3*(t - 4)*(t - 1)/2
Solve -p**2/5 + 94*p/5 - 1984/5 = 0.
32, 62
Solve -p**2/9 + 20*p/3 - 100 = 0 for p.
30
Factor 3*u**2 + 1650*u.
3*u*(u + 550)
What is o in -o**5/6 - 7*o**4/6 + 23*o**3/2 - 39*o**2/2 = 0?
-13, 0, 3
Find h, given that 4*h**4/9 + 272*h**3/9 + 88*h**2/3 - 272*h/9 - 268/9 = 0.
-67, -1, 1
Determine f so that f**3 + 161*f**2 + 315*f - 477 = 0.
-159, -3, 1
What is l in 100*l**4 - 2120*l**3 + 4336*l**2 - 3000*l + 684 = 0?
3/5, 1, 19
Let 3*a**2 + 333*a + 330 = 0. Calculate a.
-110, -1
Factor 4*r**5 + 24*r**4 + 44*r**3 + 24*r**2.
4*r**2*(r + 1)*(r + 2)*(r + 3)
Suppose 5*w**4/6 + 5*w**3/6 = 0. What is w?
-1, 0
Factor y**3/5 - 16*y**2/5 + 77*y/5 - 98/5.
(y - 7)**2*(y - 2)/5
What is a in -3*a**3/4 + 2289*a**2/4 = 0?
0, 763
Factor 2*w**2/5 + 26*w/5 - 36.
2*(w - 5)*(w + 18)/5
Let 4*c**3 + 28*c**2 - 292*c + 260 = 0. Calculate c.
-13, 1, 5
What is k in -2*k**4/3 + 22*k**3/3 - 28*k**2 + 128*k/3 - 64/3 = 0?
1, 2, 4
Find p, given that -114*p**5/7 - 276*p**4 + 444*p**3/7 + 6024*p**2/7 + 3558*p/7 - 204/7 = 0.
-17, -1, 1/19, 2
Determine f so that 3*f**4 - 15*f**2 + 12 = 0.
-2, -1, 1, 2
What is x in 7*x**3/5 + 6*x**2 + 17*x/5 - 6 = 0?
-3, -2, 5/7
Factor 3*a**5 - 4614*a**4 + 2359272*a**3 - 397897680*a**2 - 1620049872*a - 1629560928.
3*(a - 514)**3*(a + 2)**2
Suppose -225*x**3 + 285*x**2 + 320*x + 20 = 0. What is x?
-2/3, -1/15, 2
Factor -2*v**3/3 - 50*v**2/3 + 124*v/3 + 144.
-2*(v - 4)*(v + 2)*(v + 27)/3
Factor 5*s**2 + 15*s + 10.
5*(s + 1)*(s + 2)
Solve -1012*n**2 - 3024*n + 36 = 0.
-3, 3/253
Let 4*r**4/3 + 8*r**3/3 - 4*r**2 = 0. Calculate r.
-3, 0, 1
Factor 2*y**2/9 - 1214*y/3.
2*y*(y - 1821)/9
Factor -3*y**4 + 3*y**3 + 3*y**2 - 3*y.
-3*y*(y - 1)**2*(y + 1)
Factor 10*f**3/13 + 4*f**2 + 48*f/13.
2*f*(f + 4)*(5*f + 6)/13
Factor 2*i**3/3 + 4*i**2/3 - 8*i/3 - 16/3.
2*(i - 2)*(i + 2)**2/3
Factor -l**4/5 - 2*l**3/5 + 7*l**2.
-l**2*(l - 5)*(l + 7)/5
Factor 63*k**2/4 - 159*k/2 + 15/4.
3*(k - 5)*(21*k - 1)/4
Factor 27*f**4 - 426*f**3 - 555*f**2 - 102*f.
3*f*(f - 17)*(f + 1)*(9*f + 2)
Find k, given that -3*k**3 - 5658*k**2 - 2667747*k = 0.
-943, 0
Let 4*t**2/3 - 36*t + 200/3 = 0. What is t?
2, 25
Solve 207*s**3 - 1038*s**2 + 15*s = 0 for s.
0, 1/69, 5
Find o such that 2*o**2 + 2252*o + 633938 = 0.
-563
Factor 280*d**2 + 9516*d - 136.
4*(d + 34)*(70*d - 1)
Determine y, given that 5*y**2 + 110*y = 0.
-22, 0
Factor -2*r**4 + 42*r**3.
-2*r**3*(r - 21)
Factor -k**2/2 - 1525*k/2 + 763.
-(k - 1)*(k + 1526)/2
Suppose y**3/8 + 35*y**2/8 - 73*y/8 + 37/8 = 0. What is y?
-37, 1
Determine w, given that -4*w**4 - 20*w**3 + 32*w**2 + 48*w = 0.
-6, -1, 0, 2
Let 3*c**5 + 99*c**4 + 357*c**3 + 261*c**2 = 0. What is c?
-29, -3, -1, 0
Factor -2*y**2/15 - 16*y/3 + 82/15.
-2*(y - 1)*(y + 41)/15
Let -2*n**3/9 + 14*n**2/3 - 88*n/9 - 40 = 0. What is n?
-2, 5, 18
Factor -2*g**2 + 686*g + 688.
-2*(g - 344)*(g + 1)
Factor 12*h**3/5 - 112*h**2/5 + 132*h/5 - 32/5.
4*(h - 8)*(h - 1)*(3*h - 1)/5
Suppose -3*v**2/5 - 3558*v/5 - 711 = 0. What is v?
-1185, -1
Suppose -2*n**3/7 - 94*n**2/7 - 186*n - 630 = 0. Calculate n.
-21, -5
Let 2*x**3 + 28*x**2 - 190*x = 0. What is x?
-19, 0, 5
Factor -4*n**2 + 184*n - 180.
-4*(n - 45)*(n - 1)
Solve -5*t**2 + 75*t - 270 = 0.
6, 9
What is z in -9*z**5 + 165*z**4 - 477*z**3 + 411*z**2 - 90*z = 0?
0, 1/3, 1, 2, 15
Solve -15*c**5 - 6*c**4 + 120*c**3 + 48*c**2 - 240*c - 96 = 0.
-2, -2/5, 2
Determine c so that 2*c**4 + 758*c**3 + 756*c**2 = 0.
-378, -1, 0
Factor s**5/4 + 9*s**4/4 + 7*s**3/4 - 9*s**2/4 - 2*s.
s*(s - 1)*(s + 1)**2*(s + 8)/4
Factor -9*n**2 - 52*n/7 + 20/7.
-(7*n - 2)*(9*n + 10)/7
Suppose -2*m**2/11 + 1028*m/11 + 4144/11 = 0. Calculate m.
-4, 518
Factor k**2/9 + 2*k + 77/9.
(k + 7)*(k + 11)/9
Determine c, given that -5*c**4 + 47*c**3 - 93*c**2 + 65*c - 14 = 0.
2/5, 1, 7
Solve -2*j**5 - 6*j**4 + 6*j**3 + 14*j**2 - 12*j = 0.
-3, -2, 0, 1
Factor -4*h**4 - 92*h**3 + 12*h**2 + 284*h + 184.
-4*(h - 2)*(h + 1)**2*(h + 23)
Solve 2*a**4/5 - 8*a**3/15 + 2*a**2/15 = 0.
0, 1/3, 1
Factor 4*m**2/5 + 624*m/5 + 124.
4*(m + 1)*(m + 155)/5
Factor a**2 + 660*a.
a*(a + 660)
Suppose -2*d**3/11 - 36*d**2/11 - 174*d/11 - 20 = 0. What is d?
-11, -5, -2
Factor 2*u**5/15 - 122*u**4/5 + 5396*u**3/5 + 10156*u**2/3 + 17174*u/5 + 5766/5.
2*(u - 93)**2*(u + 1)**3/15
Factor -s**5 - 15*s**4 + 72*s**3 - 76*s**2.
-s**2*(s - 2)**2*(s + 19)
Find z such that -z**5/3 + 11*z**4 - 70*z**3 - 838*z**2/3 - 303*z - 105 = 0.
-1, 15, 21
Find p, given that -3*p**3/2 - 3654*p**2 - 2967048*p - 803080992 = 0.
-812
Factor -j**5 + 51*j**4 - 279*j**3 + 405*j**2.
-j**2*(j - 45)*(j - 3)**2
What is v in -36*v**5 - 226*v**4 - 344*v**3 - 56*v**2 + 32*v = 0?
-4, -2, -1/2, 0, 2/9
Find l, given that -5*l**5 + 25*l**4 - 10*l**3 - 70*l**2 + 15*l + 45 = 0.
-1, 1, 3
Suppose 2*u**2/3 + 32*u/3 - 160/3 = 0. Calculate u.
-20, 4
Let -2*g**2 + 44*g - 242 = 0. What is g?
11
Factor 5*a**2 + 188*a - 76.
(a + 38)*(5*a - 2)
Determine n, given that 2*n**3 + 20*n**2 + 56*n + 48 = 0.
-6, -2
Determine y so 