, -2, -1, 0
Suppose 2*o**3/21 + 38*o**2/21 - 82*o/21 + 2 = 0. What is o?
-21, 1
Solve -126*j**2/11 + 508*j/11 - 16/11 = 0.
2/63, 4
Factor -81*f**2 + 234*f - 169.
-(9*f - 13)**2
Factor 5*d**2 + 255*d - 530.
5*(d - 2)*(d + 53)
Let -5*q**2 + 65*q + 240 = 0. What is q?
-3, 16
Let 2*q**5/13 + 24*q**4/13 + 110*q**3/13 + 240*q**2/13 + 248*q/13 + 96/13 = 0. What is q?
-4, -3, -2, -1
Suppose -3*b**5 - 534*b**4/5 + 771*b**3/5 - 222*b**2/5 = 0. What is b?
-37, 0, 2/5, 1
Solve -5*g**3/3 - 524*g**2 - 3748*g/3 - 416 = 0 for g.
-312, -2, -2/5
Find h such that 2*h**2 + 792*h = 0.
-396, 0
Find h such that 4*h**4/7 + 8*h**3 + 92*h**2/7 - 8*h - 96/7 = 0.
-12, -2, -1, 1
Factor -2*u**2/3 - 42*u - 124/3.
-2*(u + 1)*(u + 62)/3
Factor -2*r**2 - 16*r - 30.
-2*(r + 3)*(r + 5)
Factor -3*i**5 - 18*i**4 + 138*i**3 - 276*i**2 + 225*i - 66.
-3*(i - 2)*(i - 1)**3*(i + 11)
Factor l**2/5 - 39*l/5 + 74/5.
(l - 37)*(l - 2)/5
Solve 3*c**4/4 - 3*c**3/2 - 9*c**2 - 21*c/2 - 15/4 = 0.
-1, 5
Let 3*t**2/7 - 21*t - 150/7 = 0. What is t?
-1, 50
What is y in -20*y**3 - 28*y**2 + 4*y + 12 = 0?
-1, 3/5
Suppose -5*z**2 - 24420*z - 29816820 = 0. Calculate z.
-2442
Determine f, given that -3*f**2/7 - 15*f/7 - 12/7 = 0.
-4, -1
Let 8*k**4/3 - 296*k**3 - 910*k**2/3 + 524*k - 448/3 = 0. Calculate k.
-2, 1/2, 112
Let -a**3/2 + 31*a**2/2 + a/2 - 31/2 = 0. Calculate a.
-1, 1, 31
Factor c**5 - 91*c**4 + 1828*c**3 + 11136*c**2 + 9216*c.
c*(c - 48)**2*(c + 1)*(c + 4)
Factor -2*o**3/5 + 212*o**2/5 - 2602*o/5 + 2392/5.
-2*(o - 92)*(o - 13)*(o - 1)/5
Factor -3*l**3/4 - 33*l**2/4 + 30*l - 21.
-3*(l - 2)*(l - 1)*(l + 14)/4
Factor -18*g**3 + 1482*g**2 - 1952*g + 648.
-2*(g - 81)*(3*g - 2)**2
Factor -4*b**2 - 20*b + 96.
-4*(b - 3)*(b + 8)
Solve 5*h**3 - 120*h**2 - 255*h - 130 = 0.
-1, 26
Factor 2*z**2/5 + 1484*z/5 - 1486/5.
2*(z - 1)*(z + 743)/5
Factor 6*n**3 - 184*n**2 + 118*n + 60.
2*(n - 30)*(n - 1)*(3*n + 1)
Factor 5*s**5 - 4610*s**4 + 1057980*s**3 + 2134440*s**2.
5*s**2*(s - 462)**2*(s + 2)
Suppose -n**4 - 15*n**3/4 - 17*n**2/4 - 3*n/2 = 0. Calculate n.
-2, -1, -3/4, 0
What is a in -a**2/10 - a - 21/10 = 0?
-7, -3
Find y such that -1681*y**3/4 - 1845*y**2/2 - 168*y - 8 = 0.
-2, -4/41
Factor 4*z**4 - 328*z**3 + 6720*z**2 + 328*z - 6724.
4*(z - 41)**2*(z - 1)*(z + 1)
Factor -4173*j**2 - 4167*j + 6.
-3*(j + 1)*(1391*j - 2)
Factor 5*x**4 + 100*x**3 - 145*x**2 - 780*x + 1260.
5*(x - 2)**2*(x + 3)*(x + 21)
Find n, given that 210*n**5/11 - 782*n**4/11 + 822*n**3/11 - 146*n**2/11 - 96*n/11 - 8/11 = 0.
-1/7, -2/15, 1, 2
Factor -y**5 + 167*y**4 - 6718*y**3 - 21166*y**2 - 21505*y - 7225.
-(y - 85)**2*(y + 1)**3
Factor -2*k**2 + 54*k + 116.
-2*(k - 29)*(k + 2)
Factor -8*q**3/5 + 46*q**2/5 - 28*q/5 - 2.
-2*(q - 5)*(q - 1)*(4*q + 1)/5
Factor 4*w**2 + 24*w.
4*w*(w + 6)
Factor p**4/2 + 26*p**3 + 725*p**2/2 + 625*p.
p*(p + 2)*(p + 25)**2/2
Determine m, given that 28*m**5 - 860*m**4 - 332*m**3 + 2524*m**2 + 2464*m + 496 = 0.
-1, -2/7, 2, 31
Suppose -3*g**4/4 - 75*g**3/2 - 1551*g**2/4 - 351*g = 0. Calculate g.
-36, -13, -1, 0
Factor 4*x**2 - 340*x - 1056.
4*(x - 88)*(x + 3)
Determine g, given that g**3 - 5*g**2 + 4*g = 0.
0, 1, 4
Factor -3*u**4 - 57*u**3 + 66*u**2 + 120*u.
-3*u*(u - 2)*(u + 1)*(u + 20)
Solve -2*j**4 + 66*j**2 + 16*j - 480 = 0.
-4, 3, 5
Determine y so that y**4/6 + y**3/2 - 7*y**2/6 - 9*y/2 - 3 = 0.
-3, -2, -1, 3
Find f such that f**2/4 - 145*f/2 + 21025/4 = 0.
145
Factor z**2/8 + 19*z/4 + 361/8.
(z + 19)**2/8
Find r, given that 2*r**2 + 102*r = 0.
-51, 0
Determine c so that -c**4/5 + 7*c**3/5 + 28*c**2/5 + 4*c = 0.
-2, -1, 0, 10
Factor -h**2/7 + 73*h/7 + 44.
-(h - 77)*(h + 4)/7
Determine a so that 31*a**2 + 92*a - 3 = 0.
-3, 1/31
Factor -3*w**2 - 21*w + 54.
-3*(w - 2)*(w + 9)
Determine h, given that -2*h**2/11 - 144*h/11 - 1624/11 = 0.
-58, -14
Factor 35*j**4 - 1165*j**3 - 860*j**2 + 340*j.
5*j*(j - 34)*(j + 1)*(7*j - 2)
Determine g so that g**2 - 1256*g + 394384 = 0.
628
Suppose 3*t**3/2 - 108*t**2 - 225*t/2 + 219 = 0. Calculate t.
-2, 1, 73
What is m in 279*m**3 + 6*m**2 - 279*m - 6 = 0?
-1, -2/93, 1
Suppose -s**3 - 60*s**2 + 189*s = 0. Calculate s.
-63, 0, 3
Factor 4*a**5 + 40*a**4 + 36*a**3.
4*a**3*(a + 1)*(a + 9)
Determine n so that 159*n**4/2 - 1111*n**3/2 + 2371*n**2/2 - 1401*n/2 - 9 = 0.
-2/159, 1, 3
Determine h, given that 5*h**4 - 35*h**3 + 85*h**2 - 85*h + 30 = 0.
1, 2, 3
Solve 32*b**2 + 2556*b - 320 = 0 for b.
-80, 1/8
Factor -2*u**2 - 1006*u.
-2*u*(u + 503)
Factor -2*v**2/5 - 32*v/5.
-2*v*(v + 16)/5
Solve d**2/2 + 105*d - 211/2 = 0 for d.
-211, 1
Find d such that -d**2/4 - 2141*d/4 + 1071/2 = 0.
-2142, 1
Factor -2*p**4/5 + 1032*p**3/5 - 206*p**2.
-2*p**2*(p - 515)*(p - 1)/5
Factor -3*g**5 - 48*g**4 - 183*g**3 - 186*g**2 + 156*g + 264.
-3*(g - 1)*(g + 2)**3*(g + 11)
Find c such that -c**4/7 + 22*c**3/7 - 40*c**2/7 = 0.
0, 2, 20
Find q, given that 357*q**3 - 396*q**2 + 21*q + 18 = 0.
-3/17, 2/7, 1
Factor -5*d**3/2 - 17*d**2/2 - 8*d - 2.
-(d + 1)*(d + 2)*(5*d + 2)/2
Let -10*v**3 - 184*v**2 - 522*v - 180 = 0. Calculate v.
-15, -3, -2/5
Suppose 3*t**4 + 153*t**3 = 0. What is t?
-51, 0
Determine r, given that -r**2/6 - 125*r/6 + 127/3 = 0.
-127, 2
Let -g**5 + 179*g**4 + 2*g**3 - 358*g**2 - g + 179 = 0. What is g?
-1, 1, 179
Find c such that -4*c**2/7 - 360*c/7 - 8100/7 = 0.
-45
Find s, given that -2*s**3/9 - 26*s**2/9 + 52*s + 176 = 0.
-22, -3, 12
Let 3*s**4 - 48*s**3 + 252*s**2 - 432*s = 0. Calculate s.
0, 4, 6
Determine y, given that 3*y**2/7 - 1116*y/7 + 103788/7 = 0.
186
Factor 9*v**3/2 - 3*v**2 - 81*v/2 - 33.
3*(v + 1)*(v + 2)*(3*v - 11)/2
What is s in -18*s**4/5 - 111*s**3/5 - 234*s**2/5 - 36*s - 24/5 = 0?
-2, -1/6
Factor 3*r**2/8 + 609*r + 247254.
3*(r + 812)**2/8
Factor 7*p**3/4 + 13*p**2/4.
p**2*(7*p + 13)/4
Determine f so that -2*f**3/9 - 20*f**2/9 + 26*f/9 + 44/9 = 0.
-11, -1, 2
Factor -2*y**4 + 12*y**3 - 16*y**2 - 12*y + 18.
-2*(y - 3)**2*(y - 1)*(y + 1)
Suppose 4*t**4 - 68*t**3 + 380*t**2 - 700*t = 0. What is t?
0, 5, 7
Factor 3*z**4/2 + 15*z**3/2 - 3*z**2/2 - 51*z/2 + 18.
3*(z - 1)**2*(z + 3)*(z + 4)/2
Determine i, given that -145*i**2 - 450*i - 45 = 0.
-3, -3/29
Find j, given that 562*j**3 + 566*j**2 - 1120*j - 8 = 0.
-2, -2/281, 1
Suppose -2*a**5/11 + 10*a**4/11 + 26*a**3/11 - 58*a**2/11 - 144*a/11 - 72/11 = 0. Calculate a.
-2, -1, 3, 6
Find r, given that 9*r**5/4 - 21*r**4 - 63*r**3/4 + 15*r**2/2 = 0.
-1, 0, 1/3, 10
Determine w, given that -4*w**5 + 36*w**4 - 88*w**3 + 24*w**2 + 92*w - 60 = 0.
-1, 1, 3, 5
Factor 5*f**3 - 75*f**2 + 295*f - 225.
5*(f - 9)*(f - 5)*(f - 1)
Suppose 66*p**4 - 591*p**3 + 1557*p**2 - 984*p - 48 = 0. What is p?
-1/22, 1, 4
Suppose -159*i**2 + 423*i + 162 = 0. Calculate i.
-18/53, 3
Determine t so that 3*t**3/5 - 18*t**2/5 - 3*t/5 + 18/5 = 0.
-1, 1, 6
Factor 4*t**3 - 16*t**2 - 4*t + 16.
4*(t - 4)*(t - 1)*(t + 1)
What is f in 3*f**2/4 - 105*f/2 + 3675/4 = 0?
35
Solve -3*c**3/4 - 27*c**2/4 - 15*c - 9 = 0.
-6, -2, -1
Find d such that -2*d**4 - 21*d**3/2 - 15*d**2 + 2*d + 12 = 0.
-2, 3/4
Factor 3*r**2/4 - 99*r/2 - 201/4.
3*(r - 67)*(r + 1)/4
Let -x**4/2 + 13*x**3/3 - 67*x**2/6 + 32*x/3 - 10/3 = 0. What is x?
2/3, 1, 2, 5
Suppose -5*u**5 + 15*u**4 + 5*u**3 - 35*u**2 + 20 = 0. What is u?
-1, 1, 2
Let -14*w**4 - 60*w**3 - 2*w**2 + 60*w + 16 = 0. Calculate w.
-4, -1, -2/7, 1
Solve -3*s**5/2 - 21*s**4/2 - 27*s**3 - 33*s**2 - 39*s/2 - 9/2 = 0 for s.
-3, -1
Solve 4*o**2 + 56*o + 132 = 0 for o.
-11, -3
Factor -5*d**3 + 6510*d**2 - 2119005*d.
-5*d*(d - 651)**2
Factor -t**4/10 - 11*t**3/10 - t**2.
-t**2*(t + 1)*(t + 10)/10
Solve -c**2/5 + 4*c - 91/5 = 0 for c.
7, 13
Solve 2*q**4/3 + 232*q**3/3 + 2164*q**2 - 13688*q/3 + 6962/3 = 0.
-59, 1
Factor z**2 - 29*z + 204.
(z - 17)*(z - 12)
Find j such that -5*j**5 - 205*j**4 - 2560*j**3 - 9560*j**2 - 13680*j - 6480 = 0.
-18, -2, -1
Let k**3/8 - 3*k**2/4 - 25*k/8 - 9/4 = 0. Calculate k.
-2, -1, 9
Factor 2*a**4/7 + 24*a**3/7 + 90*a**2/7 + 116*a/7 + 48/7.
2*(a + 1)**2*(a + 4)*(a + 6)/7
Factor 3*w**2 - 6486*w - 6489.
3*(w - 2163)*(w + 1)
Let -u**2/2 + 114*u - 6498 = 0. What is u?
114
Determine i so that 3*i**3/8 - 141*i**2/8 - 165*i = 0.
-8, 0, 55
Determine w, given that -3*w**2 + 3924*w - 1283148 = 0.
654
Determine h, given that -35*h**2/3 - 5*h/3 + 10 = 0.
-1, 6/7
What is m in m**4/4 + 7*m**3 - 81*m**2/2 - 1701*m - 6615/4 = 0?
-2