**2 + 928*b.
4*b*(b + 4)*(b + 58)
Factor 3*q**2 + 6414*q - 12840.
3*(q - 2)*(q + 2140)
Factor 5*d**2 + 165*d + 310.
5*(d + 2)*(d + 31)
Suppose 2*p**3/9 + 40*p**2/3 + 256*p + 1536 = 0. What is p?
-24, -12
Solve p**2/7 - 92*p/7 - 188/7 = 0.
-2, 94
Factor -2*h**3/7 + 2*h/7.
-2*h*(h - 1)*(h + 1)/7
Factor j**4/3 + 406*j**3/3 + 42013*j**2/3 + 54404*j + 53868.
(j + 2)**2*(j + 201)**2/3
Factor 5*k**2 - 395*k + 1140.
5*(k - 76)*(k - 3)
Factor 4*s**4 - 32*s**3 - 316*s**2 - 280*s.
4*s*(s - 14)*(s + 1)*(s + 5)
Solve 136*z**4 - 1620*z**3 + 6096*z**2 - 7460*z + 2400 = 0.
1/2, 24/17, 5
Factor j**3/3 - 2*j**2/3.
j**2*(j - 2)/3
Suppose -4*c**4 + 44*c**2 + 72*c + 32 = 0. Calculate c.
-2, -1, 4
What is j in -5*j**2 - 380*j = 0?
-76, 0
Determine z, given that z**2 + 31*z + 58 = 0.
-29, -2
Factor -9*z**2 + 2496*z - 831.
-3*(z - 277)*(3*z - 1)
Factor 21*a**3 - 300*a**2 + 1113*a - 294.
3*(a - 7)**2*(7*a - 2)
What is h in 16*h**5/5 + 184*h**4/5 - 3444*h**3/5 - 5422*h**2/5 - 2752*h/5 - 462/5 = 0?
-21, -1/2, 11
Suppose 3*x**5 - 8*x**4 + 4*x**3 + 6*x**2 - 7*x + 2 = 0. What is x?
-1, 2/3, 1
Factor -2*q**2 + 118*q + 120.
-2*(q - 60)*(q + 1)
Factor -t**4/9 + 13*t**3/9 - 19*t**2/3 + 95*t/9 - 50/9.
-(t - 5)**2*(t - 2)*(t - 1)/9
Let -100*k**5 - 2435*k**4 + 6915*k**3 - 6395*k**2 + 2285*k - 270 = 0. Calculate k.
-27, 1/4, 2/5, 1
Let -8*h**3/7 - 6*h**2 - 6*h - 8/7 = 0. What is h?
-4, -1, -1/4
Factor -5*v**4 + 400*v**3 - 10530*v**2 + 87480*v + 98415.
-5*(v - 27)**3*(v + 1)
Factor 1156*g**4 + 884*g**3 - 256*g**2 + 16*g.
4*g*(g + 1)*(17*g - 2)**2
Suppose -x**4 + 91*x**3 - 179*x**2 + 89*x = 0. Calculate x.
0, 1, 89
Determine x so that 5*x**4 - 155*x**3 - 3315*x**2 - 6145*x - 2990 = 0.
-13, -1, 46
Factor r**2 + 146*r.
r*(r + 146)
Solve 4*f**2/3 + 64*f + 180 = 0.
-45, -3
Factor -3*d**3 - 12*d**2 + 45*d + 54.
-3*(d - 3)*(d + 1)*(d + 6)
Suppose 2*w**2/9 - 3742*w/9 = 0. Calculate w.
0, 1871
Factor 3*n**3/4 - 9*n**2/4.
3*n**2*(n - 3)/4
Let -2*g**5/7 + 4*g**4/7 + 4*g**3/7 - 8*g**2/7 - 2*g/7 + 4/7 = 0. Calculate g.
-1, 1, 2
Determine f, given that 3*f**5 + 126*f**4 + 1320*f**3 - 126*f**2 - 1323*f = 0.
-21, -1, 0, 1
Find a such that 112*a**5 + 340*a**4 + 144*a**3 - 292*a**2 - 256*a - 48 = 0.
-2, -1, -3/4, -2/7, 1
Solve -3*m**4 + 55*m**3 - 259*m**2 + 45*m + 162 = 0 for m.
-2/3, 1, 9
Let 4*q**5 - 185*q**4 + 1050*q**3 - 2035*q**2 + 1406*q - 240 = 0. What is q?
1/4, 1, 2, 3, 40
Determine h so that 15*h**5/4 - 129*h**4/4 + 171*h**3/4 - 15*h**2/4 - 21*h/2 = 0.
-2/5, 0, 1, 7
Determine z, given that 5*z**2 - 55*z + 140 = 0.
4, 7
Solve 4*a**3 - 20*a**2 - 52*a - 28 = 0 for a.
-1, 7
Find z such that 54*z**4 - 432*z**3 + 720*z**2 - 448*z + 96 = 0.
2/3, 6
Solve -5*i**4 - 100*i**3 + 345*i**2 = 0.
-23, 0, 3
Suppose n**2 - 956*n + 228484 = 0. Calculate n.
478
Suppose -3*w**2 + 63*w + 66 = 0. What is w?
-1, 22
Determine k, given that -k**4 - 2676*k**3 - 2685366*k**2 - 1197673236*k - 200310848721 = 0.
-669
Factor x**3/7 + 30*x**2/7 - 31*x/7.
x*(x - 1)*(x + 31)/7
Determine a so that -a**4/7 - 17*a**3/7 - 9*a**2 - 27*a/7 + 108/7 = 0.
-12, -3, 1
Let 4*s**2 - 92*s + 448 = 0. What is s?
7, 16
Let 4*l**2 - 12*l - 112 = 0. What is l?
-4, 7
Factor -x**2/2 + 1006*x - 506018.
-(x - 1006)**2/2
Find g such that -3*g**2/4 - 3*g + 63/4 = 0.
-7, 3
Solve -l**3/8 + 3*l**2/8 - 3*l/8 + 1/8 = 0 for l.
1
Solve -128*c**4/5 + 160*c**3 - 1826*c**2/5 + 360*c - 648/5 = 0.
9/8, 2
Factor -30*q**2/11 + 252*q/11 - 96/11.
-6*(q - 8)*(5*q - 2)/11
Factor f**3/9 + f**2 + 2*f/3 - 16/9.
(f - 1)*(f + 2)*(f + 8)/9
Suppose -5*t**4/3 - 16*t**3/3 - t**2 = 0. What is t?
-3, -1/5, 0
Solve v**3/2 - 21*v**2/2 + 19*v = 0 for v.
0, 2, 19
Determine w so that 3*w**2 + 96*w - 432 = 0.
-36, 4
Determine k, given that 24*k**4 + 86*k**3 + 90*k**2 + 28*k = 0.
-2, -1, -7/12, 0
Factor -t**2/3 + 5*t/3 + 22.
-(t - 11)*(t + 6)/3
Find p such that -185*p**4 - 197*p**3 - 12*p**2 = 0.
-1, -12/185, 0
Solve k**2 + 1263*k + 1262 = 0 for k.
-1262, -1
Factor -4*q**4/7 - 144*q**3/7 - 264*q**2 - 1456*q - 2940.
-4*(q + 7)**3*(q + 15)/7
Factor c**4/2 + 10*c**3 - 214*c**2 - 2640*c + 34848.
(c - 12)**2*(c + 22)**2/2
Suppose -2*c**3 - 220*c**2 + 446*c - 224 = 0. What is c?
-112, 1
Suppose l**3/2 + 7*l**2/2 + 7*l/2 - 15/2 = 0. Calculate l.
-5, -3, 1
Factor a**2 + 46*a - 96.
(a - 2)*(a + 48)
Factor -d**3 - 216*d**2 - 11220*d + 48400.
-(d - 4)*(d + 110)**2
Determine z so that 15*z**3 + 545*z**2 - 940*z + 380 = 0.
-38, 2/3, 1
Factor a**3/3 + 38*a**2/3 - 209*a/3 + 86.
(a - 3)*(a - 2)*(a + 43)/3
Factor z**3/2 + 23*z**2 - 95*z/2 + 24.
(z - 1)**2*(z + 48)/2
Suppose 2*p**5/19 - 16*p**4/19 - 48*p**3/19 + 4*p**2 + 46*p/19 - 60/19 = 0. Calculate p.
-3, -1, 1, 10
Suppose 3*y**3/8 - 417*y**2 = 0. What is y?
0, 1112
Let 15*a**3/2 + 93*a**2 + 477*a/2 + 81 = 0. What is a?
-9, -3, -2/5
Factor 3*g**5/4 - 3*g**4/4 - 3*g**3/2.
3*g**3*(g - 2)*(g + 1)/4
Factor 5*h**5 - 30*h**4 + 60*h**3 - 40*h**2.
5*h**2*(h - 2)**3
Factor 15*j**4 - 87*j**3 + 102*j**2 + 24*j.
3*j*(j - 4)*(j - 2)*(5*j + 1)
Factor v**2 - 5*v - 104.
(v - 13)*(v + 8)
Find z such that 5*z**3 - 400*z**2 - 815*z - 410 = 0.
-1, 82
What is p in -2*p**4 - 20*p**3 + 48*p**2 = 0?
-12, 0, 2
Find r such that -r**3/3 - 79*r**2/3 - 230*r/3 - 152/3 = 0.
-76, -2, -1
Determine h so that 3*h**2/4 - 57*h/4 = 0.
0, 19
Find z, given that z**2/2 - 24*z = 0.
0, 48
Factor -25*n**2/3 + 21190*n/3 + 8480/3.
-5*(n - 848)*(5*n + 2)/3
Solve 4*t**2 + 33080*t + 68392900 = 0.
-4135
Factor 8*i**3 + 4*i**2 - 140*i + 200.
4*(i - 2)*(i + 5)*(2*i - 5)
Find z such that -2*z**4 + 26*z**3 + 8*z**2 - 104*z = 0.
-2, 0, 2, 13
Factor -i**3 + 15*i**2 + 466*i - 480.
-(i - 30)*(i - 1)*(i + 16)
Factor 2*n**3/3 + 82*n**2/3 - 88*n/3 - 56.
2*(n - 2)*(n + 1)*(n + 42)/3
Factor 2*g**4 + 96*g**3 + 52*g**2 - 2064*g - 4230.
2*(g - 5)*(g + 3)**2*(g + 47)
Suppose -14*r**4 + 46*r**3 - 40*r**2 + 8*r = 0. What is r?
0, 2/7, 1, 2
Find p, given that 4*p**5/9 - 32*p**4/9 + 28*p**3/3 - 88*p**2/9 + 32*p/9 = 0.
0, 1, 2, 4
Factor -2*i**2/11 + 40*i/11 + 8.
-2*(i - 22)*(i + 2)/11
Factor 2*k**4 + 626*k**3 + 1244*k**2.
2*k**2*(k + 2)*(k + 311)
Find x, given that 33*x**2 + 51*x + 18 = 0.
-1, -6/11
Determine n, given that n**5/5 - 7*n**3/5 + 6*n**2/5 = 0.
-3, 0, 1, 2
What is n in -2*n**2 - 391*n/4 + 49/4 = 0?
-49, 1/8
What is m in 2*m**5 + 1466*m**4 + 270836*m**3 + 803732*m**2 + 800810*m + 266450 = 0?
-365, -1
Factor t**4 - 37*t**3 + 393*t**2 - 935*t + 578.
(t - 17)**2*(t - 2)*(t - 1)
Factor 3*z**4 + 15*z**3 - 108*z**2.
3*z**2*(z - 4)*(z + 9)
Factor -2*y**2 + 2840*y - 1008200.
-2*(y - 710)**2
Suppose -2*w**3/5 - 48*w**2/5 - 30*w + 40 = 0. What is w?
-20, -5, 1
Suppose -j**2 - 1166*j - 339889 = 0. Calculate j.
-583
Factor 2*v**2/9 - 50*v/9.
2*v*(v - 25)/9
Solve 2*f**3 - 6*f + 4 = 0.
-2, 1
Factor 5*g**2 - 25*g - 250.
5*(g - 10)*(g + 5)
Factor -2*j**5 + 44*j**4 - 338*j**3 + 1056*j**2 - 1152*j.
-2*j*(j - 8)**2*(j - 3)**2
Suppose 6*i**2/5 + 54*i/5 - 216/5 = 0. What is i?
-12, 3
Factor 2*q**4/15 - 2*q**3/3 - 44*q**2/15 - 32*q/15.
2*q*(q - 8)*(q + 1)*(q + 2)/15
Let -3*m**3/7 - 60*m**2/7 - 237*m/7 - 180/7 = 0. Calculate m.
-15, -4, -1
Find a, given that -a**4/3 - 11*a**3/3 - 5*a**2 + 175*a/3 + 500/3 = 0.
-5, 4
Suppose 3*r**2/2 - 9*r + 27/2 = 0. Calculate r.
3
What is h in 5*h**3 - 55*h**2 - 5*h + 55 = 0?
-1, 1, 11
Factor 3*i**2/4 - 6*i.
3*i*(i - 8)/4
Factor 27*v**4/8 + 6*v**3 + 15*v**2/8 - 3*v/4.
3*v*(v + 1)**2*(9*v - 2)/8
Solve -j**3 + 39*j**2 + 81*j + 41 = 0 for j.
-1, 41
Determine p, given that 2*p**5/3 + 8*p**4/3 - 8*p**3 - 64*p**2/3 + 128*p/3 = 0.
-4, 0, 2
Suppose 22*g**5/5 + 62*g**4/5 + 2*g**3 - 14*g**2 - 32*g/5 + 8/5 = 0. Calculate g.
-2, -1, 2/11, 1
Let -2*c**2 - 132*c + 134 = 0. Calculate c.
-67, 1
Factor -5*t**4 + 86*t**3 - 297*t**2 + 316*t - 52.
-(t - 13)*(t - 2)**2*(5*t - 1)
Find b, given that 2*b**5/3 + 58*b**4/3 + 76*b**3 - 96*b**2 = 0.
-24, -6, 0, 1
Factor -o**3 + 11*o**2 - 10*o - 72.
-(o - 9)*(o - 4)*(o + 2)
Factor 2*u**3/9 + 8*u**2/9 - 56*u/9 + 64/9.
2*(u - 2)**2*(u + 8)/9
What is k in -5*k**4 - 525*k**3 - 520*k**2 = 0?
-104, -1, 0
Suppose 5*l**3 + 155*l**2 + 275*l - 435 = 0. Calculate l.
-29, -3, 1
Determine y so that 2*y**5 + 44*y**4 + 80*y**3 - 4*y**2 - 82*y - 40 = 0.
-20, -1, 1
Solve 2*p**3/13 + 6*p**2/13 - 48*p/13 + 56/13 = 0.
-7, 2
Factor 3*z**2/5 + 39*z + 2028/5.
3*(z + 13)*(z + 52)/5
Factor 4*r*