 459*o**2/4 - 1849*o/4 + 1389/4 = 0?
-463, 1, 3
Factor -2*s**3/5 + 74*s**2 - 18966*s/5 + 166518/5.
-2*(s - 87)**2*(s - 11)/5
Factor 4*w**3 - 788*w**2.
4*w**2*(w - 197)
Factor 2*a**2/15 + 56*a/15 - 256/15.
2*(a - 4)*(a + 32)/15
Factor -9*z**3 + 138*z**2 + 96*z.
-3*z*(z - 16)*(3*z + 2)
Factor -2*y**2/11 + 42*y + 1880/11.
-2*(y - 235)*(y + 4)/11
Solve 5*f**3 - 19*f**2/2 + 11*f/2 - 1 = 0.
2/5, 1/2, 1
Factor -5*z**2/4 - 225*z/4 + 115/2.
-5*(z - 1)*(z + 46)/4
Solve -4*r**4 + 12*r**3 - 4*r**2 - 12*r + 8 = 0 for r.
-1, 1, 2
Factor 2*i**4/9 - 136*i**3/9 + 256*i**2/3 - 1504*i/9 + 992/9.
2*(i - 62)*(i - 2)**3/9
Factor -5*n**2 - 4330*n - 4325.
-5*(n + 1)*(n + 865)
Suppose 3*i**3 - 501*i**2 + 22113*i - 98415 = 0. Calculate i.
5, 81
Factor 2*c**2/3 - 228*c + 3370/3.
2*(c - 337)*(c - 5)/3
Solve -2*i**2/5 - 582*i/5 + 1172/5 = 0 for i.
-293, 2
Factor -3*w**3 + 3*w**2 + 3*w - 3.
-3*(w - 1)**2*(w + 1)
Factor 4*v**2 - 41304*v + 106626276.
4*(v - 5163)**2
Solve 3*h**5 + 27*h**4 + 81*h**3 + 93*h**2 + 36*h = 0.
-4, -3, -1, 0
Suppose -4*t**2/5 - 5424*t/5 - 1838736/5 = 0. What is t?
-678
What is q in 2*q**4/11 + 214*q**3/11 + 422*q**2/11 + 210*q/11 = 0?
-105, -1, 0
Factor 3*n**4/7 - 363*n**3/7.
3*n**3*(n - 121)/7
Find w, given that 2*w**4/5 + 226*w**3/5 - 2928*w**2/5 + 1800*w = 0.
-125, 0, 6
Factor 2*u**3/13 - 22*u**2/13 + 56*u/13.
2*u*(u - 7)*(u - 4)/13
Solve 3*w**2 - 1200*w + 1197 = 0 for w.
1, 399
Determine w so that -4*w**2 + 44*w + 48 = 0.
-1, 12
Solve -3*y**2/2 - 2718*y - 1231254 = 0 for y.
-906
Find r such that -r**3 - 1229*r**2 = 0.
-1229, 0
Determine y so that 9*y**3/4 - 15*y**2/8 - 9*y/4 + 15/8 = 0.
-1, 5/6, 1
Let 5*m**2 - 235*m + 2700 = 0. Calculate m.
20, 27
Solve -12*q**2/5 + 2*q + 2/5 = 0 for q.
-1/6, 1
Let 3*v**3/8 + 9*v**2 + 267*v/8 - 765/4 = 0. What is v?
-17, -10, 3
Determine a so that -a**2/4 + 69*a/2 - 4761/4 = 0.
69
Factor -30*t**3 + 64*t**2 - 38*t + 4.
-2*(t - 1)**2*(15*t - 2)
Suppose a**2/4 - 191*a/4 - 291/2 = 0. What is a?
-3, 194
Factor 2*n**2/3 + 4*n - 18.
2*(n - 3)*(n + 9)/3
Factor -276*z**3 - 3580*z**2 - 3208*z + 96.
-4*(z + 1)*(z + 12)*(69*z - 2)
Factor -4*f**3/5 - 128*f**2/5 + 412*f/5 - 56.
-4*(f - 2)*(f - 1)*(f + 35)/5
Find n such that -n**3 - 57*n**2 - 651*n - 2107 = 0.
-43, -7
Factor 4*p**5/5 - 36*p**4/5 + 108*p**3/5 - 108*p**2/5.
4*p**2*(p - 3)**3/5
Factor b**4/6 - 5*b**3/2 + 49*b**2/6 - 19*b/2 + 11/3.
(b - 11)*(b - 2)*(b - 1)**2/6
Find x such that -4*x**5 + 40*x**4 - 68*x**3 + 32*x**2 = 0.
0, 1, 8
Factor 2*r**3/9 + 14*r**2/9 - 10*r/9 - 50/3.
2*(r - 3)*(r + 5)**2/9
Solve -4*l**3/19 + 550*l**2/19 - 18768*l/19 - 9522/19 = 0.
-1/2, 69
Factor z**2/8 + 17*z/8 + 33/4.
(z + 6)*(z + 11)/8
Let 2*g**5/21 + 4*g**4/3 - 64*g**3/21 = 0. Calculate g.
-16, 0, 2
Let -12*s**5 + 8*s**4 + 88*s**3 + 16*s**2 - 76*s - 24 = 0. What is s?
-2, -1, -1/3, 1, 3
Factor a**2 + 79*a + 228.
(a + 3)*(a + 76)
Factor -w**3/2 + 11*w**2 - 37*w/2 - 30.
-(w - 20)*(w - 3)*(w + 1)/2
Factor 2*u**2/7 - 162*u/7 + 316/7.
2*(u - 79)*(u - 2)/7
Factor -5*w**3 + 210*w**2 + 435*w + 220.
-5*(w - 44)*(w + 1)**2
Factor i**4/2 - 6*i**3 + 21*i**2/2 - 5*i.
i*(i - 10)*(i - 1)**2/2
Let 2*w**3 - 8*w**2 - 8*w + 32 = 0. Calculate w.
-2, 2, 4
Determine i, given that 16*i**3/5 + 194*i**2/5 + 144*i + 792/5 = 0.
-6, -33/8, -2
Factor -5*v**5 + 25*v**4 + 45*v**3 - 405*v**2 + 540*v.
-5*v*(v - 3)**3*(v + 4)
Find w such that 2*w**5 - 58*w**4 + 588*w**3 - 2268*w**2 + 1458*w + 4374 = 0.
-1, 3, 9
Factor 2*l**3/11 - 14*l/11 - 12/11.
2*(l - 3)*(l + 1)*(l + 2)/11
Factor -2*h**3 - 136*h**2 - 2312*h.
-2*h*(h + 34)**2
Let 2*q**5/11 + 36*q**4/11 - 2*q**3/11 - 36*q**2/11 = 0. Calculate q.
-18, -1, 0, 1
Factor -s**2 + 65*s - 244.
-(s - 61)*(s - 4)
Factor -r**5/3 - 3*r**4 - 7*r**3 - 19*r**2/3 - 2*r.
-r*(r + 1)**3*(r + 6)/3
Factor 2*x**3/5 - 4*x**2/5 - 6*x + 72/5.
2*(x - 3)**2*(x + 4)/5
Suppose -2*o**2 - 1262*o + 2532 = 0. What is o?
-633, 2
Factor 2*n**4/9 - 98*n**3/9 - 308*n**2/9 - 208*n/9.
2*n*(n - 52)*(n + 1)*(n + 2)/9
Factor -3*m**5/7 + 141*m**4/7 - 765*m**3/7 + 1107*m**2/7.
-3*m**2*(m - 41)*(m - 3)**2/7
Suppose r**4 + 103*r**3 + 2796*r**2 + 7100*r - 10000 = 0. Calculate r.
-50, -4, 1
Factor -4*d**3/7 + 4*d**2 - 60*d/7 + 36/7.
-4*(d - 3)**2*(d - 1)/7
Suppose 2*q**3/5 + 14*q**2/5 - 4*q - 32/5 = 0. What is q?
-8, -1, 2
Factor -5*y**2 - 3730*y - 3725.
-5*(y + 1)*(y + 745)
Factor -i**2 + 126*i - 369.
-(i - 123)*(i - 3)
Find m, given that -m**2/2 + 338*m - 675/2 = 0.
1, 675
Suppose -4*n**2/3 - 121*n/6 - 5/2 = 0. Calculate n.
-15, -1/8
What is w in -3*w**4 + 15*w**3 - 6*w**2 - 60*w + 72 = 0?
-2, 2, 3
Determine q so that -6*q**2/5 - 1044*q/5 + 210 = 0.
-175, 1
Suppose -52*b**5 - 164*b**4 + 2784*b**3 + 432*b**2 = 0. What is b?
-9, -2/13, 0, 6
Let -5*r**3 + 90*r**2 + 200*r = 0. What is r?
-2, 0, 20
Let -2*n**3/11 + 2*n**2 - 78*n/11 + 90/11 = 0. What is n?
3, 5
Factor -3*m**3 + 60*m**2 + 141*m - 198.
-3*(m - 22)*(m - 1)*(m + 3)
Solve -3*c**2 - 15*c = 0 for c.
-5, 0
Let -4*n**3/3 - 16*n**2 + 60*n = 0. Calculate n.
-15, 0, 3
Determine s so that 5*s**2 - 170*s + 320 = 0.
2, 32
Factor -z**2 + 40*z + 41.
-(z - 41)*(z + 1)
Determine p, given that -2*p**2/7 - 30*p/7 - 100/7 = 0.
-10, -5
Solve 2*s**4 + 6*s**3 - 6*s**2 - 22*s - 12 = 0.
-3, -1, 2
Solve -h**5/3 - 7*h**4/3 + 4*h**3/3 + 28*h**2/3 = 0 for h.
-7, -2, 0, 2
Factor -2*y**3 + 24*y**2 - 58*y + 36.
-2*(y - 9)*(y - 2)*(y - 1)
Factor -o**2 - 4*o - 3.
-(o + 1)*(o + 3)
Factor t**2/4 - 4*t + 15.
(t - 10)*(t - 6)/4
Determine k so that -6*k**5/5 - 42*k**4/5 - 18*k**3/5 + 186*k**2/5 - 24*k = 0.
-5, -4, 0, 1
Factor 3*p**3/5 + 66*p**2/5 - 672*p/5 + 288.
3*(p - 4)**2*(p + 30)/5
Let 14*y**4/9 - 86*y**3/9 - 2*y**2/9 + 86*y/9 - 4/3 = 0. What is y?
-1, 1/7, 1, 6
Solve -2*y**3/3 - 16*y**2/3 = 0 for y.
-8, 0
Solve 5*k**3 - 45*k**2 + 75*k - 35 = 0 for k.
1, 7
Determine j so that -10*j**4 + 725*j**3 - 2450*j**2 + 2425*j - 690 = 0.
1/2, 1, 2, 69
Factor 2*f**3/11 + 14*f**2/11 - 72/11.
2*(f - 2)*(f + 3)*(f + 6)/11
Let -2*a**2/3 + 1480*a/3 - 273800/3 = 0. What is a?
370
Factor 3*v**2/4 + 9*v - 255/4.
3*(v - 5)*(v + 17)/4
What is l in -5*l**3 - 455*l**2 - 10575*l - 10125 = 0?
-45, -1
Find j, given that j**4 + 18*j**3 - 108*j**2 + 158*j - 69 = 0.
-23, 1, 3
Factor t**3 + 4*t**2 - t - 4.
(t - 1)*(t + 1)*(t + 4)
Factor -51*b**3/4 - 1579*b**2/4 + 847*b/2 - 16.
-(b - 1)*(b + 32)*(51*b - 2)/4
Suppose -2*n**2/5 + 96*n/5 + 106 = 0. Calculate n.
-5, 53
What is s in -2*s**3 + 12*s**2 - 18*s + 8 = 0?
1, 4
Find k, given that 100*k**5 - 60*k**4 - 856*k**3 + 1032*k**2 + 756*k - 972 = 0.
-3, -1, 1, 9/5
Solve 3*w**4 + 58*w**3/5 - 23*w**2/5 - 58*w/5 + 8/5 = 0.
-4, -1, 2/15, 1
What is u in -6*u**2/7 + 156*u/7 - 1014/7 = 0?
13
Factor -h**4/4 + h**3 + 15*h**2/2 - 17*h + 35/4.
-(h - 7)*(h - 1)**2*(h + 5)/4
Factor -96*x**2 + 3753*x - 351.
-3*(x - 39)*(32*x - 3)
Factor -5*p**2 + 8530*p - 3638045.
-5*(p - 853)**2
Factor -4*m**2/7 + 544*m/7 - 540/7.
-4*(m - 135)*(m - 1)/7
Factor i**3/3 + 280*i**2/3 + 21877*i/3 + 102966.
(i + 18)*(i + 131)**2/3
Find v such that 5*v**3 + 1085*v**2 = 0.
-217, 0
Factor 4*d**3 + 224*d**2 + 1536*d.
4*d*(d + 8)*(d + 48)
What is o in 20*o**3 + 2108*o**2 - 10160*o - 4400 = 0?
-110, -2/5, 5
Factor -2*j**2/5 + 4*j + 78/5.
-2*(j - 13)*(j + 3)/5
Suppose -5*f**3 - 2640*f**2 - 464640*f - 27258880 = 0. What is f?
-176
Let -5*p**5 + 30*p**4 - 55*p**3 + 30*p**2 = 0. Calculate p.
0, 1, 2, 3
Solve -2*m**5 + 108*m**4 - 1552*m**3 + 6880*m**2 - 12192*m + 7616 = 0.
2, 14, 34
Factor 3*v**3/2 - 3*v**2/2 - 12*v + 18.
3*(v - 2)**2*(v + 3)/2
Factor 4*f**3/5 + 688*f**2/5 - 4*f/5 - 688/5.
4*(f - 1)*(f + 1)*(f + 172)/5
Factor -m**2/3 - 23*m/3 - 22/3.
-(m + 1)*(m + 22)/3
Suppose 3*d**5 - 138*d**4 - 444*d**3 + 138*d**2 + 441*d = 0. What is d?
-3, -1, 0, 1, 49
Factor 5*x**3 + 5*x**2 - 220*x - 420.
5*(x - 7)*(x + 2)*(x + 6)
Let 3*g**3 - 21*g**2 + 12*g + 36 = 0. Calculate g.
-1, 2, 6
Find f such that 32*f**3/3 - 88*f**2/3 - 47*f/6 - 1/2 = 0.
-1/8, 3
Factor -4*m**2 - 744*m - 34596.
-4*(m + 93)**2
Factor 3*s**3 - 36*s**2 + 33*s.
3*s*(s - 11)*(s - 1)
What is l in -5*l**4/4 - 5*l**3 + 25*l**2/4 = 0?
-5, 0, 1
Let -o**2 + 14*o + 15 = 0. Calculate o.
-1, 15
Factor 3*t**2 + 69*t - 1260.
3*(t - 12)*(t + 35)
Determine a, given that -a**4/3 + 26*a**3/3 - 164*a**2/3 + 376*a/3 - 96 = 0.
2, 4, 18
Factor -245*v**3 + 39305*v**2 + 22520*v +