v**3 - 268*v**2 - 670*v + 564 = 0. What is v?
-3, -2, 1, 47
Factor -4*f**2 - 12*f + 432.
-4*(f - 9)*(f + 12)
Determine p, given that 3*p**4 - 66*p**3 + 219*p**2 - 36*p - 324 = 0.
-1, 2, 3, 18
Factor 5*k**2 + 2545*k + 2540.
5*(k + 1)*(k + 508)
Suppose 2*w**5/7 + 18*w**4/7 + 40*w**3/7 + 24*w**2/7 = 0. What is w?
-6, -2, -1, 0
Factor -5*p**2 + 2795*p - 2790.
-5*(p - 558)*(p - 1)
Factor z**2/4 - 5*z/2 + 21/4.
(z - 7)*(z - 3)/4
Factor -2*m**2/11 - 1552*m/11 - 301088/11.
-2*(m + 388)**2/11
Find j, given that 2*j**4 + 22*j**3 + 88*j**2 + 152*j + 96 = 0.
-4, -3, -2
What is u in -2*u**2 - 78*u - 148 = 0?
-37, -2
Let 2*a**2/7 - 76*a + 5054 = 0. Calculate a.
133
Factor 2*o**3/13 - 48*o**2/13 + 384*o/13 - 1024/13.
2*(o - 8)**3/13
Suppose 245*t**2 + 560*t + 320 = 0. Calculate t.
-8/7
Factor -4*h**2/3 - 3512*h/3 + 1172.
-4*(h - 1)*(h + 879)/3
Find k, given that -4*k**5 - 56*k**4 - 168*k**3 + 160*k**2 + 428*k - 360 = 0.
-9, -5, -2, 1
Find y, given that 5*y**4 + 805*y**3 + 6185*y**2 + 9975*y + 4590 = 0.
-153, -6, -1
Find k such that -4*k**3 + 60*k**2 + 472*k + 672 = 0.
-4, -2, 21
Determine u, given that u**4 + 254*u**3 - u**2 - 254*u = 0.
-254, -1, 0, 1
Let -4*x**2 - 1064*x - 2112 = 0. Calculate x.
-264, -2
Find j such that 4*j**4 + 432*j**3 + 11220*j**2 - 24200*j = 0.
-55, 0, 2
Solve -6*y**4/5 + 16*y**3/3 + 632*y**2/5 - 2944*y/5 - 3584/3 = 0 for y.
-10, -14/9, 8
Find g such that -g**3/4 - 7*g**2/4 + 5*g/4 + 75/4 = 0.
-5, 3
Factor -9*q**4/2 + 15*q**3/2 - 7*q**2/2 + q/2.
-q*(q - 1)*(3*q - 1)**2/2
Suppose -26*k**2 - 158*k - 12 = 0. Calculate k.
-6, -1/13
Factor 2*f**2/3 - 30*f - 392/3.
2*(f - 49)*(f + 4)/3
Factor -4*a**2 - 14560*a - 13249600.
-4*(a + 1820)**2
Determine h so that 5*h**5 - 190*h**4 - 4605*h**3 - 4010*h**2 + 8800*h = 0.
-16, -2, 0, 1, 55
Factor -r**4 + 26*r**3 - 92*r**2 + 88*r.
-r*(r - 22)*(r - 2)**2
Factor -45*n**3/2 - 89*n**2 - 127*n/2 + 3.
-(n + 1)*(n + 3)*(45*n - 2)/2
Find b such that -2*b**3 + 2694*b**2 - 1209606*b + 181037698 = 0.
449
Factor 2*i**2 - 310*i - 312.
2*(i - 156)*(i + 1)
Factor -z**2/5 + 221*z/5 + 222/5.
-(z - 222)*(z + 1)/5
Determine z so that 2*z**2 - 1026*z + 1024 = 0.
1, 512
Find f such that 3*f**4 - 2547*f**3 + 720801*f**2 - 67995561*f = 0.
0, 283
Factor -7*g**2 + 22*g - 3.
-(g - 3)*(7*g - 1)
Factor -f**3 + 7*f**2 - 6*f.
-f*(f - 6)*(f - 1)
Determine p so that -30*p**5/17 - 46*p**4/17 + 18*p**3/17 + 46*p**2/17 + 12*p/17 = 0.
-6/5, -1, -1/3, 0, 1
Let 4*a**2 + 24*a + 20 = 0. What is a?
-5, -1
Factor -h**4 + 2*h**3 + 11*h**2 - 12*h.
-h*(h - 4)*(h - 1)*(h + 3)
Factor -2*f**4/7 + 260*f**3/7 - 8184*f**2/7 - 17424*f/7.
-2*f*(f - 66)**2*(f + 2)/7
Find s such that 4*s**4 - 88*s**3 + 724*s**2 - 2640*s + 3600 = 0.
5, 6
Factor -g**3 - 40*g**2 - 77*g - 38.
-(g + 1)**2*(g + 38)
Solve -4*a**3/9 + 160*a**2/3 - 3484*a/3 - 251384/9 = 0 for a.
-14, 67
Factor u**3/3 - 23*u**2/3 - 36*u.
u*(u - 27)*(u + 4)/3
Factor 3*p**3/5 + 48*p**2 - 3*p/5 - 48.
3*(p - 1)*(p + 1)*(p + 80)/5
Determine o so that 3*o**3 + 144*o**2 + 1143*o - 2886 = 0.
-37, -13, 2
Suppose 5*s**3 + 160*s**2 + 1355*s + 1200 = 0. What is s?
-16, -15, -1
Factor -4*v**2 + 80*v + 84.
-4*(v - 21)*(v + 1)
Factor -d**3/5 - 2*d**2 + d/5 + 2.
-(d - 1)*(d + 1)*(d + 10)/5
What is t in -2*t**3/7 + 22*t**2/7 - 68*t/7 + 48/7 = 0?
1, 4, 6
Suppose 44*r**5/5 + 16*r**4 - 412*r**3/5 - 16*r**2/5 + 368*r/5 - 64/5 = 0. What is r?
-4, -1, 2/11, 1, 2
Find k, given that -24*k**2/5 - 21*k/5 = 0.
-7/8, 0
Solve -2*p**3/7 - 18*p**2/7 - 48*p/7 - 40/7 = 0 for p.
-5, -2
Determine s so that 5*s**2 - 5100*s + 1300500 = 0.
510
Factor -5*y**3/4 + 605*y**2 + 5*y/4 - 605.
-5*(y - 484)*(y - 1)*(y + 1)/4
Factor -4*a**2 - 72*a.
-4*a*(a + 18)
Factor -4*b**3 + 100*b**2 + 4*b - 100.
-4*(b - 25)*(b - 1)*(b + 1)
Factor -3*s**4 + 15*s**3 - 18*s**2 - 12*s + 24.
-3*(s - 2)**3*(s + 1)
Factor -o**2/4 - 31*o/4 + 45.
-(o - 5)*(o + 36)/4
Find r such that -r**2/5 + 2*r/5 = 0.
0, 2
Factor -d**5/2 + 2*d**4 + 6*d**3 + d**2 - 11*d/2 - 3.
-(d - 6)*(d - 1)*(d + 1)**3/2
Suppose -z**5/6 + 13*z**4/6 - 43*z**3/6 - 7*z**2/2 + 24*z + 18 = 0. What is z?
-1, 3, 6
Factor 4*h**2 - 568*h + 20164.
4*(h - 71)**2
Factor -2*t**2 - 26*t - 80.
-2*(t + 5)*(t + 8)
Solve -4*o**3 - 392*o**2 - 10340*o - 35344 = 0 for o.
-47, -4
Suppose 2*f**2/5 - 112*f = 0. Calculate f.
0, 280
Let -r**2/3 - 80*r - 4800 = 0. What is r?
-120
What is m in -m**3 + 12*m**2 - 32*m = 0?
0, 4, 8
What is h in 20*h**4 - 635*h**3 + 1065*h**2 - 450*h = 0?
0, 3/4, 1, 30
Solve -4*b**2 + 9016*b - 5080516 = 0.
1127
What is v in -21*v**3 - 303*v**2/5 + 456*v/5 - 48/5 = 0?
-4, 4/35, 1
Factor 2*p**2/11 - 6*p/11 - 8/11.
2*(p - 4)*(p + 1)/11
Solve 2*x**5/5 - 42*x**4/5 - 362*x**3/5 - 814*x**2/5 - 144*x - 224/5 = 0 for x.
-4, -1, 28
Suppose -2*t**2/13 + 184*t/13 + 1176/13 = 0. What is t?
-6, 98
Determine w so that -w**4 - 7*w**3 + 66*w**2 - 148*w + 104 = 0.
-13, 2
Determine c, given that 3*c**5/2 - 75*c**4/2 + 312*c**3 - 996*c**2 + 1320*c - 600 = 0.
1, 2, 10
Suppose 36*p**5 - 116*p**4 + 24*p**3 = 0. Calculate p.
0, 2/9, 3
Factor 5*t**2/2 - 1255*t - 2520.
5*(t - 504)*(t + 2)/2
Suppose 2*g**4/7 - 6*g**3/7 - 6*g**2/7 + 22*g/7 - 12/7 = 0. Calculate g.
-2, 1, 3
Suppose 3*g**3 - 102*g**2 + 483*g + 588 = 0. Calculate g.
-1, 7, 28
Factor -3*k**5 - 36*k**4 - 156*k**3 - 288*k**2 - 192*k.
-3*k*(k + 2)**2*(k + 4)**2
Find o, given that -5*o**2 + 1195*o + 6100 = 0.
-5, 244
Let -2*c**5 + 62*c**4 - 174*c**3 + 170*c**2 - 56*c = 0. Calculate c.
0, 1, 28
Determine l, given that -l**4/8 + 15*l**3/4 + l**2/8 - 15*l/4 = 0.
-1, 0, 1, 30
Solve 1225*l**4 + 560*l**3 - 1210*l**2 - 560*l - 15 = 0.
-1, -3/7, -1/35, 1
Factor -14*w**3 - 38*w**2 + 12*w.
-2*w*(w + 3)*(7*w - 2)
Factor j**3/4 + 21*j**2/4 - 11*j/2.
j*(j - 1)*(j + 22)/4
Let 9*d**4/7 + 93*d**3/7 + 288*d**2/7 + 240*d/7 = 0. Calculate d.
-5, -4, -4/3, 0
Suppose l**4/2 + 147*l**3 + 21609*l**2/2 = 0. What is l?
-147, 0
Factor 2*a**3/7 - a**2 + 2*a/7 + 3/7.
(a - 3)*(a - 1)*(2*a + 1)/7
Let 5*l**4 - 285*l**3 - 595*l**2 + 285*l + 590 = 0. What is l?
-2, -1, 1, 59
Factor 2*t**4/11 + 182*t**3/11 + 4230*t**2/11 + 4050*t/11.
2*t*(t + 1)*(t + 45)**2/11
Determine i, given that 2*i**4/3 + 496*i**3/3 + 492*i**2 + 1472*i/3 + 490/3 = 0.
-245, -1
Factor 2*c**3 + 20*c**2 + 14*c - 36.
2*(c - 1)*(c + 2)*(c + 9)
What is v in -2*v**2/11 + 954*v/11 + 2880/11 = 0?
-3, 480
Suppose -2*b**5/7 - 12*b**4 - 72*b**3/7 + 404*b**2/7 - 246*b/7 = 0. What is b?
-41, -3, 0, 1
Solve -2*d**3 - 22*d**2 - 40*d + 64 = 0.
-8, -4, 1
Factor 4*x**3/5 + 92*x**2 - 932*x/5 + 468/5.
4*(x - 1)**2*(x + 117)/5
Solve k**2/8 + k/4 + 1/8 = 0.
-1
Determine p, given that -3*p**4 + 60*p**3 - 234*p**2 + 108*p + 405 = 0.
-1, 3, 15
Determine r, given that r**2/3 + 381*r - 1144/3 = 0.
-1144, 1
Factor 18*j**3 - 1419*j**2 - 14493*j - 2376.
3*(j - 88)*(j + 9)*(6*j + 1)
Let -2*m**4/3 - 442*m**3/3 - 438*m**2 - 1310*m/3 - 436/3 = 0. What is m?
-218, -1
Let -a**2/7 - 1824*a/7 - 831744/7 = 0. Calculate a.
-912
Factor x**2/3 + 173*x/3.
x*(x + 173)/3
Factor 2*c**3 - 89*c**2 + 703*c + 374.
(c - 34)*(c - 11)*(2*c + 1)
Factor -3*p**3/2 - 525*p**2/2 - 12129*p/2 - 75543/2.
-3*(p + 13)**2*(p + 149)/2
Suppose 2*f**5/7 - 8*f**4/7 + 20*f**2/7 - 2*f/7 - 12/7 = 0. Calculate f.
-1, 1, 2, 3
Let -5*l**3 - 25*l**2 = 0. What is l?
-5, 0
Factor -s**2/5 + 88*s/5.
-s*(s - 88)/5
Factor 4*l**2 - 664*l - 4128.
4*(l - 172)*(l + 6)
Factor 14*b**2 + 24*b - 8.
2*(b + 2)*(7*b - 2)
Find c such that -c**3 + 1833*c**2 + 3669*c + 1835 = 0.
-1, 1835
Suppose -2*f**2/5 + 12*f/5 + 32/5 = 0. What is f?
-2, 8
Find p such that 4*p**3 - 76*p**2 + 304*p + 384 = 0.
-1, 8, 12
Determine c so that c**4/2 - 2*c**3 + 5*c**2/2 - c = 0.
0, 1, 2
Find c such that -3*c**2/2 - 21*c/2 - 15 = 0.
-5, -2
Suppose 3*q**5 - 141*q**4/4 + 3*q**3 + 579*q**2 + 912*q + 192 = 0. Calculate q.
-2, -1/4, 8
Factor 5*k**4 + 105*k**3 + 195*k**2 + 95*k.
5*k*(k + 1)**2*(k + 19)
Factor -3*w**2 + 378*w - 11907.
-3*(w - 63)**2
Determine t so that -t**4/4 - 97*t**3/4 - 279*t**2/2 - 275*t - 182 = 0.
-91, -2
Find c such that 4*c**2/7 - 2120*c/7 + 2116/7 = 0.
1, 529
Suppose -361*b**2/5 - 76*b/5 - 4/5 = 0. What is b?
-2/19
Solve 14*y**4 - 18*y**3 - 1186*y**2 - 3510*y + 1100 = 0 for y.
-5, 2/7, 11
Factor 36*n**3 + 244*n**2 - 344*n + 64.
4*(n - 1)*(n + 8)*(9*n - 2)
Determine a so that 5*a**4 - 10*a**3 - 15*a**2 + 20*a + 20 = 