
Suppose -r**2/2 + 234*r - 1395/2 = 0. What is r?
3, 465
Find s such that 2*s**4 + 72*s**3 - 312*s**2 + 320*s = 0.
-40, 0, 2
Factor 159*t**2 - 630*t - 24.
3*(t - 4)*(53*t + 2)
Factor -s**5/2 + 12*s**4 + 51*s**3/2 + 13*s**2.
-s**2*(s - 26)*(s + 1)**2/2
Factor -6*g**3/25 - 19756*g**2/25 - 16269064*g/25 - 10837264/25.
-2*(g + 1646)**2*(3*g + 2)/25
Solve -3*b**2 - 63*b + 216 = 0 for b.
-24, 3
Factor 3*a**3 - 423*a**2 + 19881*a - 311469.
3*(a - 47)**3
Determine y so that 2*y**5/7 + 184*y**4/7 + 4586*y**3/7 + 16372*y**2/7 + 2816*y + 7744/7 = 0.
-44, -2, -1
Solve -2*q**2/19 - 44*q/19 + 46/19 = 0 for q.
-23, 1
Factor k**2/2 + 145*k/2 + 72.
(k + 1)*(k + 144)/2
Factor -d**2 + 7*d - 6.
-(d - 6)*(d - 1)
Solve -2*d**5/9 - 10*d**4/3 - 76*d**3/9 - 16*d**2/3 = 0.
-12, -2, -1, 0
Solve -l**5/7 - l**4/7 + 2*l**3/7 = 0.
-2, 0, 1
Determine d, given that -2*d**2/7 - 870*d/7 + 872/7 = 0.
-436, 1
Let -6*t**4 - 262*t**3 - 872*t**2 + 320*t = 0. What is t?
-40, -4, 0, 1/3
Factor 3*y**4/4 + 9*y**3/4 - 9*y**2/4 - 21*y/4 + 9/2.
3*(y - 1)**2*(y + 2)*(y + 3)/4
Factor -d**4/2 - 19*d**3/2 + 86*d**2 - 130*d.
-d*(d - 5)*(d - 2)*(d + 26)/2
What is g in -3*g**5/5 - 27*g**4/5 - 42*g**3/5 + 6*g**2/5 + 9*g + 21/5 = 0?
-7, -1, 1
Solve -2*q**3 - 2*q**2 + 200*q + 200 = 0 for q.
-10, -1, 10
Let 4*y**5 + 44*y**4 + 156*y**3 + 148*y**2 - 160*y - 192 = 0. What is y?
-4, -3, -1, 1
Factor -3*w**3 - 42*w**2 - 105*w + 150.
-3*(w - 1)*(w + 5)*(w + 10)
Factor l**5 + 13*l**4 + 58*l**3 + 106*l**2 + 85*l + 25.
(l + 1)**3*(l + 5)**2
Suppose w**5/4 + 13*w**4/2 + 12*w**3 - w**2/2 - 49*w/4 - 6 = 0. What is w?
-24, -1, 1
Let y**2/6 + 21*y + 1323/2 = 0. Calculate y.
-63
Factor 36*k**2 - 6668*k + 1480.
4*(k - 185)*(9*k - 2)
Factor 3*n**4 + 2451*n**3/7 + 95121*n**2/7 + 1218321*n/7 - 355914/7.
3*(n + 39)**3*(7*n - 2)/7
Solve 5*n**4 + 145*n**3 + 800*n**2 - 3840*n = 0 for n.
-16, 0, 3
Determine w, given that 350*w**5 + 90*w**4 - 41312*w**3/7 - 99248*w**2/7 - 77088*w/7 - 19360/7 = 0.
-2, -22/35, 5
Factor -q**4/3 - 97*q**3/3 + 33*q**2 + 97*q/3 - 98/3.
-(q - 1)**2*(q + 1)*(q + 98)/3
Suppose -2*z**4/7 - 1338*z**3/7 + 2682*z**2/7 - 1342*z/7 = 0. Calculate z.
-671, 0, 1
Determine r so that 25*r**5 - 90*r**4 - 115*r**3 + 220*r**2 + 300*r + 80 = 0.
-1, -2/5, 2, 4
Solve -8*s**2 - 52*s - 24 = 0 for s.
-6, -1/2
Factor 10*r**2 - 86*r + 48.
2*(r - 8)*(5*r - 3)
Determine k so that -k**5 + 47*k**4/5 + 23*k**3 - 279*k**2/5 - 198*k/5 = 0.
-3, -3/5, 0, 2, 11
Let -2*l**5/7 + 26*l**4/7 - 44*l**3/7 - 4*l**2/7 + 46*l/7 - 22/7 = 0. What is l?
-1, 1, 11
Solve 3*o**5/4 + 27*o**4/4 - 231*o**3/4 + 549*o**2/4 - 132*o + 45 = 0.
-15, 1, 2
Determine h so that -h**4/3 + 38*h**3 + h**2/3 - 38*h = 0.
-1, 0, 1, 114
Factor -3*h**2/2 - 141*h/2 - 810.
-3*(h + 20)*(h + 27)/2
Suppose -2*a**3/13 - 320*a**2/13 + 322*a/13 = 0. What is a?
-161, 0, 1
Factor 4*g**2/7 + 40*g/7 - 44/7.
4*(g - 1)*(g + 11)/7
Solve -21*l**4 + 6*l**3 + 147*l**2 + 84*l - 36 = 0 for l.
-2, -1, 2/7, 3
Factor -4*g**3 - 68*g**2 + 4*g + 68.
-4*(g - 1)*(g + 1)*(g + 17)
Factor -2*w**2/7 + 62*w/7.
-2*w*(w - 31)/7
Factor -2*l**4/3 - 2*l**3/3 + 4*l**2/3.
-2*l**2*(l - 1)*(l + 2)/3
Solve -p**5/2 + 3*p**4/4 + 10*p**3 + 75*p**2/4 + 13*p + 3 = 0 for p.
-2, -1, -1/2, 6
Factor 2*n**3/3 + 6*n**2 + 46*n/3 + 10.
2*(n + 1)*(n + 3)*(n + 5)/3
Factor -3*q**5 + q**4 + 2*q**3.
-q**3*(q - 1)*(3*q + 2)
Determine b, given that 3*b**5 + 42*b**4 + 114*b**3 - 96*b**2 - 333*b + 270 = 0.
-10, -3, 1
Factor g**3 + 343*g**2/4 + 3655*g/2 - 1849/4.
(g + 43)**2*(4*g - 1)/4
Let 25*z**5 - 35*z**4 - 290*z**3 + 820*z**2 - 680*z + 160 = 0. What is z?
-4, 2/5, 1, 2
Factor -5*f**2 + 225*f + 230.
-5*(f - 46)*(f + 1)
Determine s, given that -3*s**4 - 48*s**3 + 96*s**2 + 2304*s - 6912 = 0.
-12, 4
Let 70*t**2 + 118*t + 36 = 0. What is t?
-9/7, -2/5
Factor 3*d**2/5 - 198*d/5 + 216.
3*(d - 60)*(d - 6)/5
Let 3*x**3/5 + 87*x**2/5 - 387*x/5 + 297/5 = 0. What is x?
-33, 1, 3
Let -6*s**5/7 - 60*s**4/7 - 138*s**3/7 + 132*s**2/7 + 648*s/7 + 432/7 = 0. What is s?
-6, -3, -2, -1, 2
Suppose -8*x**2 - 580*x - 288 = 0. What is x?
-72, -1/2
Factor 22*y**2/7 + 2998*y/7 + 816/7.
2*(y + 136)*(11*y + 3)/7
Factor o**2/4 - 9*o/2 - 10.
(o - 20)*(o + 2)/4
Factor 4*d**4 + 16*d**3 - 8*d**2 - 48*d + 36.
4*(d - 1)**2*(d + 3)**2
Factor 4*c**4 - 4768*c**3 + 1896072*c**2 - 252174400*c + 250283092.
4*(c - 397)**3*(c - 1)
Factor -117*m**4/5 - 69*m**3 + 18*m**2/5.
-3*m**2*(m + 3)*(39*m - 2)/5
Find j, given that 4*j**4/3 + 268*j**3/3 + 524*j**2/3 + 260*j/3 = 0.
-65, -1, 0
Factor y**3/5 - 291*y**2/5 + 20727*y/5 + 64827/5.
(y - 147)**2*(y + 3)/5
Find p, given that -p**2/4 - 3123*p/4 = 0.
-3123, 0
What is k in -10*k**5 - 182*k**4 - 1086*k**3 - 2170*k**2 - 392*k = 0?
-7, -4, -1/5, 0
Determine y so that 12*y**5 - 141*y**4 + 384*y**3 - 183*y**2 - 72*y = 0.
-1/4, 0, 1, 3, 8
Factor -2*w**3/11 - 12*w**2 - 264*w - 1936.
-2*(w + 22)**3/11
What is y in 3*y**2/4 - 393*y/2 + 51483/4 = 0?
131
Determine k, given that 6487202*k**2/11 - 21612*k/11 + 18/11 = 0.
3/1801
Solve -d**5/6 + 109*d**4/6 + 1153*d**3/3 + 2634*d**2 + 6876*d + 4608 = 0 for d.
-6, -1, 128
Find t, given that -3*t**3/5 - 78*t**2 + 1599*t/5 - 1206/5 = 0.
-134, 1, 3
Suppose -4*j**3 - 131*j**2 - 1120*j - 768 = 0. What is j?
-16, -3/4
Suppose -4*n**4/3 - 44*n**3 - 772*n**2/3 - 388*n - 520/3 = 0. Calculate n.
-26, -5, -1
Factor 5*g**2 + 31055*g - 31060.
5*(g - 1)*(g + 6212)
Let 5*t**5 - 25*t**4 + 10*t**3 + 40*t**2 = 0. What is t?
-1, 0, 2, 4
Factor z**2/2 + 225*z + 50625/2.
(z + 225)**2/2
Factor -28*b**3 + 4740*b**2 - 10704*b + 2672.
-4*(b - 167)*(b - 2)*(7*b - 2)
Factor -3*c**3 + 99*c**2 - 1053*c + 3549.
-3*(c - 13)**2*(c - 7)
Suppose h**2/4 - 251*h/2 - 252 = 0. Calculate h.
-2, 504
Factor -130*t**4 + 268*t**3 - 16*t**2.
-2*t**2*(t - 2)*(65*t - 4)
Determine q so that 4*q**5 + 32*q**4 + 56*q**3 - 32*q**2 - 60*q = 0.
-5, -3, -1, 0, 1
What is m in -2*m**2/13 + 1424*m/13 - 253472/13 = 0?
356
Solve r**2 - 256*r + 255 = 0 for r.
1, 255
What is n in 6*n**4/11 - 42*n**3/11 + 72*n**2/11 = 0?
0, 3, 4
Solve 2*z**3/7 + 1382*z**2/7 + 2756*z/7 = 0.
-689, -2, 0
Factor 3*k**2/7 - 3594*k/7 + 1076403/7.
3*(k - 599)**2/7
What is q in q**4 - q**3 - 3*q**2 + 5*q - 2 = 0?
-2, 1
Factor -5*m**2 + 1030*m - 53045.
-5*(m - 103)**2
Factor 4*g**2 + 368*g + 1068.
4*(g + 3)*(g + 89)
Suppose -3*s**2 - 6*s + 72 = 0. Calculate s.
-6, 4
Find w, given that -4*w**2 + 680*w - 28900 = 0.
85
Factor -i**5/7 + i**4 - 3*i**3/7 - 23*i**2/7 + 32*i/7 - 12/7.
-(i - 6)*(i - 1)**3*(i + 2)/7
Suppose -x**3 - 27*x**2 - 132*x + 160 = 0. What is x?
-20, -8, 1
Factor t**2/2 - 70*t - 288.
(t - 144)*(t + 4)/2
What is m in -1715*m**3 - 5*m**2 = 0?
-1/343, 0
Suppose 4*o**3 + 500*o**2 + 11868*o - 247572 = 0. Calculate o.
-69, 13
Determine x so that -14*x**3/5 - 4092*x**2/5 - 299592*x/5 - 85264/5 = 0.
-146, -2/7
Factor -4*y**4 + 4*y**3 + 4*y**2 - 4*y.
-4*y*(y - 1)**2*(y + 1)
Find i, given that i**4/6 - 13*i**2/6 + 2*i = 0.
-4, 0, 1, 3
Factor 2*g**3/3 - 94*g**2/3 + 136*g + 168.
2*(g - 42)*(g - 6)*(g + 1)/3
Factor h**3/2 + h**2 - 41*h/2 - 21.
(h - 6)*(h + 1)*(h + 7)/2
Factor 2*d**3 - 98*d**2 - 660*d.
2*d*(d - 55)*(d + 6)
Suppose 12*u**3/7 + 120*u**2/7 - 129*u/7 + 33/7 = 0. What is u?
-11, 1/2
Factor 3*y**3/2 - 267*y**2/2 + 2100*y + 41250.
3*(y - 50)**2*(y + 11)/2
Suppose -x**3/2 - 27*x**2/2 - 47*x/2 + 75/2 = 0. What is x?
-25, -3, 1
Determine v, given that 2*v**2 - 10*v - 72 = 0.
-4, 9
What is i in 2*i**5 - 16*i**4 + 44*i**3 - 48*i**2 + 18*i = 0?
0, 1, 3
Factor 2*b**3 - 80*b**2 + 294*b - 216.
2*(b - 36)*(b - 3)*(b - 1)
Find o such that o**4 - 57*o**3 - 138*o**2 + 1204*o - 1416 = 0.
-6, 2, 59
Find x such that -8*x**3 + 68*x**2 - 65*x/2 + 4 = 0.
1/4, 8
Solve 4*d**4 + 204*d**3 - 208*d**2 = 0 for d.
-52, 0, 1
Find l such that -4*l**3/5 - 32*l**2/5 + 76*l/5 - 8 = 0.
-10, 1
Find d, given that -3*d**3/4 + 66*d**2 - 261*d/4 = 0.
0, 1, 87
Factor -2*n**5/9 - 46*n**4/9 - 286*n**3/9 - 242*n**2/9.
-2*n**2*(n + 1)*(n + 11)**2/9
Factor 3*i**2 - 84*i.
3*i*(i - 28)
Determine j so that 5*j**2 + 540*j + 3060 = 0.
-102, -6
Factor 2*p**2/7 + 92*p/7 + 1040/7.
2*(p + 20)*(p + 26)/7
Factor 19*f**3/5 + 151*f**2/5 + 44*f - 12/5.
(f + 2)*(f + 6)*(19*f - 1)/5
Determine p so that 2*p**5/11 - 64*p**4/11 - 840*p**3/11 = 0.
-10, 0, 42
Determine z, given that -z**2/3 - 124*z/3 - 41 = 0.
-123, -1
What is n i