, 9
Factor -5*x**3/2 + 765*x**2/2 + 1545*x/2 + 775/2.
-5*(x - 155)*(x + 1)**2/2
Factor c**3/2 - 204*c**2 + 40365*c/2 + 128547.
(c - 207)**2*(c + 6)/2
Factor -2*q**3 + 24*q**2 + 26*q.
-2*q*(q - 13)*(q + 1)
Suppose 2*v**2/19 - 272*v/19 + 9248/19 = 0. What is v?
68
Factor 2*k**3 - 64*k**2 - 282*k - 216.
2*(k - 36)*(k + 1)*(k + 3)
Solve 4*i**5 + 44*i**4 + 144*i**3 + 144*i**2 = 0 for i.
-6, -3, -2, 0
What is d in 2*d**2/3 + 3160*d/3 + 1248200/3 = 0?
-790
What is v in -v**3 + 20*v**2 - 37*v + 18 = 0?
1, 18
Factor 3*n**3 - 321*n**2 - 3*n + 321.
3*(n - 107)*(n - 1)*(n + 1)
Suppose -d**2/6 - 616*d/3 - 189728/3 = 0. Calculate d.
-616
What is x in -2*x**2/23 - 220*x/23 - 6050/23 = 0?
-55
Let -2*i**4/7 - 68*i**3/7 + 2*i**2/7 + 68*i/7 = 0. What is i?
-34, -1, 0, 1
Factor 4*t**4 + 172*t**3 + 1284*t**2 + 2068*t + 952.
4*(t + 1)**2*(t + 7)*(t + 34)
Solve -45*j**5 - 775*j**4 + 640*j**3 + 180*j**2 = 0.
-18, -2/9, 0, 1
Factor 33*l**4 + 21*l**3 - 33*l**2 - 21*l.
3*l*(l - 1)*(l + 1)*(11*l + 7)
Determine w so that -2*w**4/3 + 4*w**3/3 + 48*w**2 - 832*w/3 + 1280/3 = 0.
-10, 4
Determine o, given that -4*o**4 + 16*o**3 - 20*o**2 + 8*o = 0.
0, 1, 2
Factor -3*x**4 - 6*x**3 + 3*x**2 + 6*x.
-3*x*(x - 1)*(x + 1)*(x + 2)
Factor -4*l**2 - 92*l + 200.
-4*(l - 2)*(l + 25)
Let 2*v**4/3 + 18*v**3 + 194*v**2/3 + 78*v + 92/3 = 0. What is v?
-23, -2, -1
Factor 21*q**2/2 + 52*q - 5/2.
(q + 5)*(21*q - 1)/2
Find v, given that -3*v**4/7 + 12*v**3/7 + 3*v**2/7 - 12*v/7 = 0.
-1, 0, 1, 4
Find p, given that 4*p**2 - 9456*p + 5588496 = 0.
1182
Determine q, given that q**5/5 - 6*q**4/5 + 9*q**3/5 - 4*q**2/5 = 0.
0, 1, 4
Factor -q**2/2 + 5*q/2.
-q*(q - 5)/2
Suppose -5*k**4/4 + 43*k**3/8 - 3*k**2/2 = 0. What is k?
0, 3/10, 4
Factor 3*j**2/2 + 63*j + 324.
3*(j + 6)*(j + 36)/2
Factor 5*s**2 - 380*s - 1185.
5*(s - 79)*(s + 3)
Let 15*v**4/2 + 633*v**3 - 2061*v**2/2 + 132*v + 258 = 0. What is v?
-86, -2/5, 1
Factor -3*w**3 - 1749*w**2 - 255789*w - 254043.
-3*(w + 1)*(w + 291)**2
Factor -w**2/4 - 151*w/4 - 111.
-(w + 3)*(w + 148)/4
Factor -h**2/3 - 5*h/3 + 112.
-(h - 16)*(h + 21)/3
Factor 4*r**2 + 52528*r + 172449424.
4*(r + 6566)**2
Factor 2*o**2/13 + 288*o/13.
2*o*(o + 144)/13
Find y, given that -3*y**4 + 15*y**3 - 60*y + 48 = 0.
-2, 1, 2, 4
Suppose 2*y**3/5 - 18*y**2/5 + 6*y + 10 = 0. What is y?
-1, 5
Suppose u**5/3 + 14*u**4/3 - u**3/3 - 14*u**2/3 = 0. What is u?
-14, -1, 0, 1
Factor b**4 - 13*b**3 + 35*b**2 + 49*b.
b*(b - 7)**2*(b + 1)
What is y in -3*y**3/4 - 15*y**2/2 - 99*y/4 - 27 = 0?
-4, -3
What is o in -160*o**4 + 1424*o**3 - 10482*o**2/5 - 1102*o/5 - 28/5 = 0?
-1/20, 2, 7
Factor -u**4/8 + 45*u**3/8 + 47*u**2/8 - 45*u/8 - 23/4.
-(u - 46)*(u - 1)*(u + 1)**2/8
Solve -y**2/3 - y/3 + 24 = 0 for y.
-9, 8
Let 5*s**5 + 1225*s**4 + 98375*s**3 + 2450575*s**2 - 11022400*s + 11435740 = 0. What is s?
-83, 2
Factor y**4/6 + 37*y**3/6 + 71*y**2/6 + 35*y/6.
y*(y + 1)**2*(y + 35)/6
Factor -z**2 + 322*z - 25921.
-(z - 161)**2
Factor 5*x**5 + 45*x**4 + 35*x**3 - 225*x**2 + 140*x.
5*x*(x - 1)**2*(x + 4)*(x + 7)
Factor -2*m**3 + 2*m**2 + 16*m - 24.
-2*(m - 2)**2*(m + 3)
Suppose 2*t**5/11 - 6*t**4/11 + 2*t**3/11 + 6*t**2/11 - 4*t/11 = 0. What is t?
-1, 0, 1, 2
Factor 4*m**2 + 5784*m + 2090916.
4*(m + 723)**2
Solve q**3 + 289*q**2 + 21024*q + 20736 = 0 for q.
-144, -1
Let p**3 - 99*p**2 - 637*p + 735 = 0. Calculate p.
-7, 1, 105
Suppose 3*d**2 - 948*d - 1908 = 0. Calculate d.
-2, 318
Factor n**3/11 - 1779*n**2/11 + 1054947*n/11 - 208527857/11.
(n - 593)**3/11
Suppose 2*a**2/7 = 0. What is a?
0
Suppose 5*a**3 + 4175*a**2 + 873615*a + 869445 = 0. Calculate a.
-417, -1
Factor 2*l**3/9 - 3706*l**2/9 + 190550*l + 190962.
2*(l - 927)**2*(l + 1)/9
Factor 7*r**3/2 - 76*r**2 + 775*r/2 + 117.
(r - 13)*(r - 9)*(7*r + 2)/2
Factor 4*t**3 + 48*t**2 - 1564*t + 1512.
4*(t - 14)*(t - 1)*(t + 27)
Factor c**4/2 - 5*c**3 + 17*c**2/2 - 4*c.
c*(c - 8)*(c - 1)**2/2
Let 18*n**2 - 428*n - 96 = 0. Calculate n.
-2/9, 24
Factor 5*k**3/6 - 545*k**2/6 + 4075*k/6 - 3535/6.
5*(k - 101)*(k - 7)*(k - 1)/6
Factor a**3/8 - a**2/2 - a/8 + 1/2.
(a - 4)*(a - 1)*(a + 1)/8
Factor -2*u**2/11 - 92*u/11 - 1058/11.
-2*(u + 23)**2/11
Factor 2*s**5/5 + 28*s**4/5 + 66*s**3/5 - 224*s**2/5 + 128*s/5.
2*s*(s - 1)**2*(s + 8)**2/5
Factor 2*w**4 + 20*w**3 + 42*w**2 - 8*w - 56.
2*(w - 1)*(w + 2)**2*(w + 7)
Factor -4*c**4 + 5904*c**3 - 2178576*c**2.
-4*c**2*(c - 738)**2
Factor 3*m**4 + 6*m**3 - 6*m - 3.
3*(m - 1)*(m + 1)**3
Factor 3*t**2/7 + 153*t/7 - 156/7.
3*(t - 1)*(t + 52)/7
Solve k**3/2 - 1869*k**2/2 + 872355*k/2 + 874225/2 = 0 for k.
-1, 935
Suppose -5*r**2/3 + r/2 + 2/3 = 0. What is r?
-1/2, 4/5
Factor k**2 + 71*k - 1820.
(k - 20)*(k + 91)
Let -2*z**4/3 - 26*z**3 + 742*z**2/3 - 190*z - 4700/3 = 0. What is z?
-47, -2, 5
Suppose -2*z**4 - 252*z**3 - 7664*z**2 + 18432*z + 65536 = 0. Calculate z.
-64, -2, 4
Factor 5*r**3 - 655*r**2 - 670*r + 1320.
5*(r - 132)*(r - 1)*(r + 2)
Determine q so that -5*q**4/3 + 290*q**3/3 - 280*q**2/3 - 290*q/3 + 95 = 0.
-1, 1, 57
Factor -2*z**4 - 48*z**3 + 52*z**2 + 48*z - 50.
-2*(z - 1)**2*(z + 1)*(z + 25)
Factor -2*m**2/15 - 74*m/15.
-2*m*(m + 37)/15
Factor -2*s**2/11 + 12*s/11 + 32/11.
-2*(s - 8)*(s + 2)/11
Find w, given that 3*w**5/7 - 96*w**4/7 + 1011*w**3/7 - 4002*w**2/7 + 6708*w/7 - 4056/7 = 0.
2, 13
Factor x**4/2 + 8*x**3 - 27*x**2 + 28*x - 19/2.
(x - 1)**3*(x + 19)/2
What is l in 5*l**2 + 45*l - 680 = 0?
-17, 8
Factor 2*g**5 + 18*g**4 + 44*g**3 - 64*g.
2*g*(g - 1)*(g + 2)*(g + 4)**2
Factor m**3/5 + 3999*m**2/5 + 5330667*m/5 + 2368593037/5.
(m + 1333)**3/5
Factor 2*d**2/13 - 592*d/13 + 43808/13.
2*(d - 148)**2/13
Determine j so that 600*j**4 + 1260*j**3 + 1611*j**2/2 + 204*j + 18 = 0.
-6/5, -2/5, -1/4
Factor b**5 + 72*b**4 + 873*b**3 + 3622*b**2 + 4908*b + 2088.
(b + 1)**2*(b + 6)**2*(b + 58)
Determine u so that 1062882*u**3/7 + 78732*u**2/7 + 1944*u/7 + 16/7 = 0.
-2/81
Factor 3*p**3 + 7506*p**2 + 6260004*p + 1740281112.
3*(p + 834)**3
Solve -h**5/5 + 3*h**4/5 + 22*h**3/5 - 24*h**2/5 = 0 for h.
-4, 0, 1, 6
Factor -2*f**3/15 - 58*f**2/15 - 494*f/15 - 338/5.
-2*(f + 3)*(f + 13)**2/15
Factor 4*a**3 - 40*a**2 + 100*a.
4*a*(a - 5)**2
What is g in g**4/4 + 39*g**3/4 + 19*g**2/2 = 0?
-38, -1, 0
Factor -3*t**2 - 288*t - 285.
-3*(t + 1)*(t + 95)
Suppose 4*z**3 + 52*z**2 + 92*z + 44 = 0. Calculate z.
-11, -1
Solve 5*i**4 + 70*i**3 + 55*i**2 - 130*i = 0.
-13, -2, 0, 1
Factor -5*d**5/2 + 235*d**4/2 + 375*d**3.
-5*d**3*(d - 50)*(d + 3)/2
Suppose s**3/3 + 822*s**2 - 1645*s + 2468/3 = 0. Calculate s.
-2468, 1
Suppose -3*a**2 + 84*a - 588 = 0. What is a?
14
Suppose -2*o**3/11 - 36*o**2/11 + 134*o/11 + 168/11 = 0. Calculate o.
-21, -1, 4
Factor -2*i**2.
-2*i**2
Factor 11236*t**3 + 20352*t**2 - 4140*t + 200.
4*(t + 2)*(53*t - 5)**2
Find h such that 2*h**2/3 + 4*h - 110/3 = 0.
-11, 5
Factor -2*k**2/15 + 12*k/5 - 112/15.
-2*(k - 14)*(k - 4)/15
Factor -l**2/4 + 49*l/2 - 2401/4.
-(l - 49)**2/4
Find j, given that 2*j**4 + 4*j**3 - 520*j**2 - 3600*j = 0.
-10, 0, 18
Let -3*p**3/4 + 21*p**2/4 + 3*p/4 - 21/4 = 0. Calculate p.
-1, 1, 7
Let s**5/5 - 289*s**4 + 522728*s**3/5 - 521284*s**2/5 = 0. What is s?
0, 1, 722
Determine m so that m**3/2 - 587*m**2/2 + 1166*m = 0.
0, 4, 583
Factor -2*s**5/3 - 2*s**4 + 4*s**3 + 56*s**2/3 + 16*s.
-2*s*(s - 3)*(s + 2)**3/3
Factor 3*q**4/2 + 39*q**3 - 180*q**2.
3*q**2*(q - 4)*(q + 30)/2
Suppose -m**2/5 - 371*m/5 + 746/5 = 0. What is m?
-373, 2
Determine s, given that 3*s**2/2 + 42*s + 240 = 0.
-20, -8
Determine a, given that 15*a**3 - 40*a**2 + 80*a/3 = 0.
0, 4/3
Suppose -z**2/3 + 12*z + 39 = 0. What is z?
-3, 39
Factor 4*s**3 + 124*s**2 + 112*s - 240.
4*(s - 1)*(s + 2)*(s + 30)
Factor -122*y**2 - 2*y + 120.
-2*(y + 1)*(61*y - 60)
Factor -2*u**2 - 8*u.
-2*u*(u + 4)
Solve -p**3/3 - 17*p**2/3 + 6*p = 0 for p.
-18, 0, 1
Factor -27*d**5/4 + 135*d**4/2 - 90*d**3 - 380*d**2 - 300*d - 72.
-(d - 6)**2*(3*d + 2)**3/4
Solve -5*g**3/3 - 115*g**2/3 - 715*g/3 - 605/3 = 0.
-11, -1
Factor -u**5/7 + 164*u**4/7 - 6724*u**3/7.
-u**3*(u - 82)**2/7
Let -s**2 - 87*s/4 + 11/2 = 0. Calculate s.
-22, 1/4
Determine p, given that -46*p**2/17 + 488*p/17 - 280/17 = 0.
14/23, 10
Let -k**3/8 + 29*k**2/8 - 13*k + 25/2 = 0. Calculate k.
2, 25
Factor 3*n**3 + 33*n**2 + 30*n.
3*n*(n + 1)*(n + 10)
Factor -4*k**5/5 - 36*k**4/5 - 128*k**3/5 - 224*k**2