hat is b?
-1, 1, 23
What is r in -r**3 + 10*r**2 - 13*r - 24 = 0?
-1, 3, 8
What is m in 2*m**5/7 - 16*m**4/7 + 36*m**3/7 - 32*m**2/7 + 10*m/7 = 0?
0, 1, 5
Let 2*o**2 - 1264*o - 1266 = 0. Calculate o.
-1, 633
Factor -5*j**2/3 + 85*j/3.
-5*j*(j - 17)/3
Solve v**3/2 - 9*v**2 - 21*v/2 + 19 = 0.
-2, 1, 19
Let 3*s**2/4 - 201*s/4 + 189 = 0. Calculate s.
4, 63
Find r, given that -9*r**3/2 + 321*r**2/2 - 207*r/2 - 105/2 = 0.
-1/3, 1, 35
Solve o**4/8 + 81*o**3/8 - 423*o**2/8 + 599*o/8 - 129/4 = 0 for o.
-86, 1, 3
Factor 2*s**2/11 - 976*s/11 - 1960/11.
2*(s - 490)*(s + 2)/11
Suppose -4794*r**5 - 4798*r**4 + 4790*r**3 + 4798*r**2 + 4*r = 0. Calculate r.
-1, -2/2397, 0, 1
Factor 4*h**3 + 68*h**2 + 304*h + 240.
4*(h + 1)*(h + 6)*(h + 10)
Factor -2*v**3/11 + 4*v**2 + 46*v/11.
-2*v*(v - 23)*(v + 1)/11
Let -l**2/4 + 49*l/4 + 53 = 0. What is l?
-4, 53
Suppose 3*k**3 + 114*k**2 - 249*k - 360 = 0. What is k?
-40, -1, 3
Find f, given that 129*f**2 - 3*f/2 = 0.
0, 1/86
Factor -x**4 + 55*x**3 - 54*x**2.
-x**2*(x - 54)*(x - 1)
Factor 5*m**3 - 185*m**2 + 1615*m + 1805.
5*(m - 19)**2*(m + 1)
Factor -65*w**2 - 140*w - 20.
-5*(w + 2)*(13*w + 2)
Let -10*i**3 - 195*i**2 - 900*i + 500 = 0. Calculate i.
-10, 1/2
Factor 2*q**4/9 + 4*q**3/3 + 8*q**2/3 + 16*q/9.
2*q*(q + 2)**3/9
Let 2*q**3 + 5436*q**2 - 10878*q + 5440 = 0. Calculate q.
-2720, 1
Factor x**2 + 13409*x/4 + 838.
(x + 3352)*(4*x + 1)/4
Factor -a**2/3 - 11*a/3 - 8.
-(a + 3)*(a + 8)/3
Solve r**4/6 + 7*r**3/2 + 13*r**2/2 + 19*r/6 = 0 for r.
-19, -1, 0
Let -5*j**3 + 25*j**2 + 10*j - 120 = 0. Calculate j.
-2, 3, 4
What is g in 9*g**4/5 + 209*g**3/5 - 79*g**2 + 127*g/5 + 10 = 0?
-25, -2/9, 1
Factor -i**3/2 - 5*i**2/2 + 17*i + 40.
-(i - 5)*(i + 2)*(i + 8)/2
Find j, given that 4*j**3 - 24*j**2 + 44*j - 24 = 0.
1, 2, 3
Factor -3*q**2/8 + 525*q/2 - 91875/2.
-3*(q - 350)**2/8
Determine k so that 8*k**4 - 20*k**3 - 36*k**2 + 72*k = 0.
-2, 0, 3/2, 3
Suppose -2*r**4 + 54*r**3 + 6*r**2 - 166*r + 108 = 0. Calculate r.
-2, 1, 27
Find l such that -3*l**3 - 63*l**2 + 1182*l + 4032 = 0.
-32, -3, 14
Factor -5*r**2/4 + 25*r/4 + 315/2.
-5*(r - 14)*(r + 9)/4
Factor -6*f**4/5 - 8*f**3/5 + 2*f**2/5 + 4*f/5.
-2*f*(f + 1)**2*(3*f - 2)/5
Determine i so that 4356*i**5 + 87648*i**4 + 171748*i**3 + 98264*i**2 + 10096*i + 288 = 0.
-18, -1, -2/33
Factor -r**3/6 - 2*r**2 + 33*r/2 - 27.
-(r - 3)**2*(r + 18)/6
Factor -3*b**2 - 3039*b.
-3*b*(b + 1013)
Factor -m**3/6 + 5*m**2/6 + 13*m/6 + 7/6.
-(m - 7)*(m + 1)**2/6
Factor 4*p**4 + 5376*p**3 - 5380*p**2.
4*p**2*(p - 1)*(p + 1345)
Determine f so that 75*f**4 - 30*f**3 - 192*f**2 - 96*f = 0.
-4/5, 0, 2
Factor -5*c**3 + 35*c**2.
-5*c**2*(c - 7)
Factor -l**4/4 + 9*l**3/4 - 6*l**2 + 4*l.
-l*(l - 4)**2*(l - 1)/4
Solve -3*o**5/2 + 3*o**4 + 6*o**3 - 3*o**2 - 9*o/2 = 0 for o.
-1, 0, 1, 3
Factor -2*b**3 + 32*b**2 - 58*b + 28.
-2*(b - 14)*(b - 1)**2
Find v such that -16*v**4 - 4*v**3 + 16*v**2 + 4*v = 0.
-1, -1/4, 0, 1
Determine x, given that 3*x**2 + 414*x + 816 = 0.
-136, -2
Factor 3*p**3/2 - 12*p**2 - 105*p/2 + 225.
3*(p - 10)*(p - 3)*(p + 5)/2
Find f, given that 5*f**3/2 - 15*f**2 = 0.
0, 6
Factor -4*d**5 + 760*d**4 - 36848*d**3 + 70688*d**2.
-4*d**2*(d - 94)**2*(d - 2)
Factor v**2/7 - 18*v/7 - 88/7.
(v - 22)*(v + 4)/7
Determine w, given that -5*w**5 - 15*w**4 - 5*w**3 + 15*w**2 + 10*w = 0.
-2, -1, 0, 1
Find p such that 6*p**3/7 + 60*p**2/7 - 102*p/7 - 396/7 = 0.
-11, -2, 3
Factor -48*u**4 - 216*u**3 - 99*u**2 - 12*u.
-3*u*(u + 4)*(4*u + 1)**2
Factor -5*u**3 + 1970*u**2 - 37900*u + 187000.
-5*(u - 374)*(u - 10)**2
Let 5*x**5 - 25*x**4 - 55*x**3 + 165*x**2 - 90*x = 0. Calculate x.
-3, 0, 1, 6
Solve 25*f**4/6 - 215*f**3/3 + 695*f**2/2 - 1000*f/3 + 160/3 = 0 for f.
1/5, 1, 8
Suppose 16*g**4 - 190*g**3 + 344*g**2 + 622*g + 72 = 0. What is g?
-1, -1/8, 4, 9
Suppose 2*v**2/13 + 46*v/13 - 100/13 = 0. What is v?
-25, 2
Factor -672*l**4 + 192*l**3 + 30*l**2 - 9*l.
-3*l*(4*l - 1)**2*(14*l + 3)
Factor -28*t**3 - 288*t**2 - 332*t - 72.
-4*(t + 1)*(t + 9)*(7*t + 2)
Find x, given that -2*x**3/5 - 34*x**2/5 + 128*x/5 + 32 = 0.
-20, -1, 4
Factor 6*v**3/11 + 8088*v**2/11 + 2741760*v/11 + 10838016/11.
6*(v + 4)*(v + 672)**2/11
Determine t so that -t**2 + 326*t - 648 = 0.
2, 324
Factor -2*b**3/15 + 2144*b**2/15 - 114056*b/3 - 2315552/15.
-2*(b - 538)**2*(b + 4)/15
Factor 18*c**3/7 - 156*c**2/7 - 670*c/7 - 600/7.
2*(c - 12)*(3*c + 5)**2/7
Determine i so that 3*i**3/8 + 87*i**2/8 + 477*i/8 - 567/8 = 0.
-21, -9, 1
Find g such that -3*g**5 + 15*g**4 + 24*g**3 - 36*g**2 = 0.
-2, 0, 1, 6
Determine q, given that 2*q**2 + 184*q + 360 = 0.
-90, -2
Factor 4*f**2/7 - 536*f/7 - 2780/7.
4*(f - 139)*(f + 5)/7
Determine u so that 3*u**3 - 48*u**2 + 192*u = 0.
0, 8
Solve o**2/4 + 177*o/4 - 455/2 = 0.
-182, 5
Find g such that 5*g**5 + 45*g**4 + 55*g**3 - 125*g**2 - 120*g + 140 = 0.
-7, -2, 1
Factor -94*m**3 + 1124*m**2 - 3336*m - 144.
-2*(m - 6)**2*(47*m + 2)
Factor -2*c**2 + 1892*c - 447458.
-2*(c - 473)**2
Suppose -u**5/5 + 28*u**4/5 - 76*u**3/5 + 22*u**2/5 + 77*u/5 - 10 = 0. Calculate u.
-1, 1, 2, 25
What is k in -2*k**3/3 - 52*k**2/3 = 0?
-26, 0
Factor -3*y**3 + 114*y**2 + 3*y - 114.
-3*(y - 38)*(y - 1)*(y + 1)
Factor -3*t**2 + 138*t - 135.
-3*(t - 45)*(t - 1)
Factor 10*u**2/3 + 54*u + 32/3.
2*(u + 16)*(5*u + 1)/3
Factor -4*s**4/3 + 32*s**3/3 - 32*s**2 + 128*s/3 - 64/3.
-4*(s - 2)**4/3
Factor 2*m**4 - 2*m**3 - 4*m**2.
2*m**2*(m - 2)*(m + 1)
Determine d, given that 5*d**2 - 105*d - 110 = 0.
-1, 22
Factor 14*o**3/13 + 68*o**2/13 - 10*o/13.
2*o*(o + 5)*(7*o - 1)/13
Determine o so that -2*o**3/3 - 280*o**2 - 29400*o = 0.
-210, 0
Factor 14*s**2/15 - 418*s/3 + 596/15.
2*(s - 149)*(7*s - 2)/15
Solve -2*b**5/7 + 6*b**4/7 + 2*b**3/7 - 2*b**2 + 8/7 = 0.
-1, 1, 2
Factor -3*h**2/4 + 147*h/2 - 291/4.
-3*(h - 97)*(h - 1)/4
Factor -x**3 + 31*x**2/4 - 69*x/4 + 9.
-(x - 4)*(x - 3)*(4*x - 3)/4
Factor -j**2/5 + 109*j/5 - 108/5.
-(j - 108)*(j - 1)/5
Factor g**4/3 + g**3/3 - 4*g**2/3 - 4*g/3.
g*(g - 2)*(g + 1)*(g + 2)/3
Factor -2*r**3/3 - 38*r**2/3 - 12*r.
-2*r*(r + 1)*(r + 18)/3
Suppose -3*x**5/2 - 393*x**4/8 - 1353*x**3/8 - 1401*x**2/8 - 255*x/8 + 87/4 = 0. Calculate x.
-29, -2, -1, 1/4
Let -b**2 + 6850*b - 11730625 = 0. What is b?
3425
Factor -j**4/3 + 317*j**3/3 - 8321*j**2 - 8427*j.
-j*(j - 159)**2*(j + 1)/3
Factor -4*l**3 + 636*l**2 - 5916*l - 6556.
-4*(l - 149)*(l - 11)*(l + 1)
Factor -108*m**3 + 159*m**2 - 57*m + 6.
-3*(m - 1)*(4*m - 1)*(9*m - 2)
Factor -4*v**4 + 800*v**3 - 40792*v**2 + 79200*v - 39204.
-4*(v - 99)**2*(v - 1)**2
Determine q so that -3*q**4/7 - 72*q**3/7 + 228*q**2/7 + 8208*q/7 - 31104/7 = 0.
-18, 4, 8
Factor m**4 - 129*m**3 + 627*m**2 - 871*m + 372.
(m - 124)*(m - 3)*(m - 1)**2
Factor m**5/5 - 8*m**4/5 + 3*m**3 + 4*m**2/5 - 4*m.
m*(m - 5)*(m - 2)**2*(m + 1)/5
Factor -3*f**3/5 + 1053*f**2/5 - 1656*f + 16464/5.
-3*(f - 343)*(f - 4)**2/5
Find p, given that -14*p**5 + 74*p**4 - 62*p**3 - 58*p**2 + 76*p - 16 = 0.
-1, 2/7, 1, 4
Factor -2*o**3/11 + 42*o**2 + 464*o/11.
-2*o*(o - 232)*(o + 1)/11
Suppose -x**2/10 - 21*x/10 + 11/5 = 0. Calculate x.
-22, 1
Factor -3*k**2/5 - 192*k/5 - 189/5.
-3*(k + 1)*(k + 63)/5
Factor 5*r**4 + 5705*r**3 + 17085*r**2 + 17075*r + 5690.
5*(r + 1)**3*(r + 1138)
Find x such that -2*x**5 - 66*x**4 - 64*x**3 = 0.
-32, -1, 0
Factor 4*a**2 - 28*a - 480.
4*(a - 15)*(a + 8)
Let 3*q**3/4 - 19*q**2/2 + 53*q/4 + 11/2 = 0. Calculate q.
-1/3, 2, 11
Factor -1960*k**3 - 4095*k**2 - 2700*k - 540.
-5*(7*k + 6)**2*(8*k + 3)
What is h in -2*h**4 + 12*h**3 + 48*h**2 + 52*h + 18 = 0?
-1, 9
Factor 3*o**2 + 14*o + 8.
(o + 4)*(3*o + 2)
Let -2*h**5/17 + 22*h**4/17 + 108*h**3/17 + 172*h**2/17 + 118*h/17 + 30/17 = 0. What is h?
-1, 15
Factor 3*o**4/7 + 51*o**3/7 + 48*o**2/7.
3*o**2*(o + 1)*(o + 16)/7
Suppose 2*j**5/5 + 688*j**4/5 + 88044*j**3/5 + 4904712*j**2/5 + 93507426*j/5 - 458318088/5 = 0. What is j?
-87, 4
Let -15*s**3 - 100*s**2 + 180*s + 160 = 0. What is s?
-8, -2/3, 2
Let 6*v**4 - 52*v**3 - 538*v**2 - 520*v + 600 = 0. What is v?
-5, -2, 2/3, 15
Suppose -12*u**2 + 10436*u + 3480 = 0. What is u?
-1/3, 870
Factor 36*h**2 - 20*h - 16.
4*(h - 1)*(9*h + 4)
Suppose 22201*b**2 + 298*b + 1 = 0. What is b?
-1/149
What is r in 3*r**3 + 58*r**2 - 607*r + 378 = 0?
-27, 2/3, 7
Determine n so that 3*n**5 - 84*n**4 + 663*n**3 - 1086*n**2 + 504*n =