
(g - 4)*(g + 1)/2
Determine t so that -14*t**3 + 500*t**2/3 - 488*t - 48 = 0.
-2/21, 6
What is y in -4*y**4/3 - 1236*y**3 - 3700*y**2 - 11092*y/3 - 1232 = 0?
-924, -1
Factor -p**2 + 34*p - 33.
-(p - 33)*(p - 1)
Solve 2*u**5/7 + 86*u**4/7 - 180*u**3/7 + 4*u**2/7 + 178*u/7 - 90/7 = 0.
-45, -1, 1
Find g, given that -4*g**5/5 - 92*g**4/5 - 636*g**3/5 - 148*g**2 + 3776*g/5 - 2304/5 = 0.
-9, -8, 1
Factor -4*u**2 - 556*u - 1096.
-4*(u + 2)*(u + 137)
Factor -d**4/2 - 69*d**3 - 3174*d**2 - 48668*d.
-d*(d + 46)**3/2
Let -5*t**4/4 - 5*t**3/2 + 65*t**2/4 - 25*t/2 = 0. Calculate t.
-5, 0, 1, 2
Let 5*u**5 + 5*u**4 - 5*u**3 - 5*u**2 = 0. Calculate u.
-1, 0, 1
Factor -3*w**3 + 12*w**2 - 9*w.
-3*w*(w - 3)*(w - 1)
Let -4*g**4/5 - 352*g**3/5 - 9816*g**2/5 - 91168*g/5 - 268324/5 = 0. What is g?
-37, -7
Factor 2*s**3/7 + 320*s**2/7 + 922*s/7 - 3140/7.
2*(s - 2)*(s + 5)*(s + 157)/7
Determine r so that -r**5 - 8*r**4 - 20*r**3 - 10*r**2 + 21*r + 18 = 0.
-3, -2, -1, 1
Factor -y**3/5 + 2*y**2/5 + 3*y/5.
-y*(y - 3)*(y + 1)/5
Determine b so that 363*b**3/5 - 231*b**2 + 201*b/5 - 9/5 = 0.
1/11, 3
Factor -3*u**3/4 + 71*u**2/12 - 3*u - 35/3.
-(u - 7)*(u - 2)*(9*u + 10)/12
Factor -3*l**3/5 + 171*l**2/5 - 189*l + 1377/5.
-3*(l - 51)*(l - 3)**2/5
Factor 4*m**3 + 164*m**2/3 - 256*m/3 - 80.
4*(m - 2)*(m + 15)*(3*m + 2)/3
Suppose -6*f**5 + 327*f**4 - 162*f**3 = 0. What is f?
0, 1/2, 54
What is r in 3*r**3/5 + 81*r**2/5 + 729*r/5 + 2187/5 = 0?
-9
Solve 2*m**3/3 - 4*m**2/3 - 2*m = 0.
-1, 0, 3
Suppose -4*u**4 + 8*u**3 + 12*u**2 = 0. What is u?
-1, 0, 3
Factor -16*a**2 + 428*a + 560.
-4*(a - 28)*(4*a + 5)
Factor 5*b**3 - 60*b**2 + 225*b - 250.
5*(b - 5)**2*(b - 2)
Factor -2*l**3 + 14*l**2 - 14*l - 30.
-2*(l - 5)*(l - 3)*(l + 1)
Factor -3*d**4/4 - 15*d**3/2 - 111*d**2/4 - 45*d - 27.
-3*(d + 2)**2*(d + 3)**2/4
Determine n, given that -6*n**5 + 8*n**4 + 38*n**3 - 16*n**2 - 24*n = 0.
-2, -2/3, 0, 1, 3
Factor 9*z**4 - 70*z**3 + 47*z**2 + 14*z.
z*(z - 7)*(z - 1)*(9*z + 2)
What is c in 2*c**3/3 + 158*c**2 + 9282*c - 28322/3 = 0?
-119, 1
What is m in -9*m**4/7 - 12840*m**3/7 + 4281*m**2/7 = 0?
-1427, 0, 1/3
Let f**4 - 7*f**3 - 552*f**2 - 5440*f - 15872 = 0. Calculate f.
-8, 31
Factor 30420*w**4 + 17940*w**3 + 1865*w**2 - 230*w + 5.
5*(3*w + 1)**2*(26*w - 1)**2
Let -7*a**5/2 + 65*a**4/2 - 221*a**3/2 + 331*a**2/2 - 102*a + 18 = 0. What is a?
2/7, 1, 2, 3
Let -27*o**5/2 + 75*o**4/2 + 261*o**3/2 + 189*o**2/2 + 15*o = 0. What is o?
-1, -2/9, 0, 5
Find q, given that 2*q**5 - 2*q**4 - 6*q**3 + 2*q**2 + 4*q = 0.
-1, 0, 1, 2
Find p such that 3*p**5 + 18*p**4 + 39*p**3 + 36*p**2 + 12*p = 0.
-2, -1, 0
Let 4*l**5/3 + 56*l**4/3 - 124*l**3/3 + 64*l**2/3 = 0. What is l?
-16, 0, 1
Factor -63*t**3 + 402*t**2 + 267*t + 42.
-3*(t - 7)*(3*t + 1)*(7*t + 2)
Solve -11*d**4/7 + 5*d**3 - 6*d**2/7 - 44*d/7 + 8/7 = 0.
-1, 2/11, 2
Determine q so that 2*q**2 + 4352*q + 2367488 = 0.
-1088
Factor 5*o**3 - 1335*o**2 + 93600*o - 591500.
5*(o - 130)**2*(o - 7)
Factor 3*q**2 + 3696*q + 1138368.
3*(q + 616)**2
Determine l, given that -72*l**4/17 - 3066*l**3/17 - 37106*l**2/17 - 92630*l/17 - 20886/17 = 0.
-59/3, -3, -1/4
Solve -4*x**2 - 420*x - 416 = 0.
-104, -1
Factor -y**2 - 40*y - 204.
-(y + 6)*(y + 34)
Factor 3*o**2 + 147*o - 1980.
3*(o - 11)*(o + 60)
Factor 16*n**4 + 952*n**3 + 473*n**2 + 59*n.
n*(n + 59)*(4*n + 1)**2
Find v such that 2*v**3/9 + 18*v**2 + 1360*v/3 + 32800/9 = 0.
-41, -20
Solve -2*n**5/5 - 12*n**4/5 + 142*n**3/5 - 72*n**2/5 - 608*n/5 - 384/5 = 0 for n.
-12, -1, 4
Solve -4*p**3/7 + 8*p**2 = 0.
0, 14
Find g, given that -2*g**4/13 - 214*g**3/13 - 378*g**2 + 44118*g/13 - 38988/13 = 0.
-57, 1, 6
Suppose -8*l**4 + 70*l**3 - 126*l**2 - 36*l = 0. Calculate l.
-1/4, 0, 3, 6
Solve r**3/6 - 5*r**2/3 - 3*r/2 + 15 = 0 for r.
-3, 3, 10
Find i, given that 3*i**3 - 114*i**2/7 + 15*i/7 + 150/7 = 0.
-1, 10/7, 5
Determine v, given that 2*v**4/15 - 38*v**3/15 + 76*v**2/5 - 448*v/15 + 256/15 = 0.
1, 2, 8
Factor 2*i**2/3 + 6032*i/3 + 4548128/3.
2*(i + 1508)**2/3
Factor -3*a**2/8 - 9*a/4 + 561/8.
-3*(a - 11)*(a + 17)/8
What is z in -2*z**2/5 - 266*z/5 + 816/5 = 0?
-136, 3
Factor 2*s**3 + 14*s**2 + 20*s.
2*s*(s + 2)*(s + 5)
Factor s**2 - 28*s + 52.
(s - 26)*(s - 2)
Solve -3*a**2/4 - 6*a + 27/4 = 0 for a.
-9, 1
Factor y**4/2 - 69*y**3/2 + 257*y**2/2 + 213*y/2 - 585.
(y - 65)*(y - 3)**2*(y + 2)/2
Suppose d**4 + 12*d**3 + 30*d**2 + 28*d + 9 = 0. What is d?
-9, -1
Factor -2*n**2/5 - 26*n/5 + 28/5.
-2*(n - 1)*(n + 14)/5
Solve -2*f**5 + 4*f**4 + 78*f**3 + 144*f**2 = 0 for f.
-3, 0, 8
Suppose -6*i**2/5 - 4*i/5 = 0. Calculate i.
-2/3, 0
Solve 5*c**5/4 - 29*c**4/4 - 49*c**3/2 + 29*c**2 + 78*c = 0 for c.
-2, 0, 2, 39/5
Solve 5*f**2 + 95*f - 100 = 0.
-20, 1
Factor 5*d**2 - 55*d + 150.
5*(d - 6)*(d - 5)
Solve 4*w**5/3 - 16*w**3/3 + 8*w**2/3 + 4*w - 8/3 = 0.
-2, -1, 1
Determine f, given that -6*f**3/7 + 270*f**2/7 + 1782*f/7 + 2754/7 = 0.
-3, 51
Factor h**2/4 - 82*h + 6724.
(h - 164)**2/4
Factor q**3/2 + 3*q**2 - 15*q/2 - 50.
(q - 4)*(q + 5)**2/2
Let -3*z**5/7 + 30*z**4 - 3666*z**3/7 - 624*z**2/7 + 1515*z + 1050 = 0. Calculate z.
-1, 2, 35
Factor 3*d**4 - 24*d**3 - 30*d**2 + 24*d + 27.
3*(d - 9)*(d - 1)*(d + 1)**2
Let 26*p**5 + 34*p**4 - 70*p**3 - 50*p**2 + 44*p + 16 = 0. What is p?
-2, -1, -4/13, 1
What is q in -2*q**4/13 + 218*q**3/13 + 220*q**2/13 = 0?
-1, 0, 110
Factor -4*s**4 + 172*s**3 - 1084*s**2 - 1260*s.
-4*s*(s - 35)*(s - 9)*(s + 1)
Solve -3*g**2 + 1584*g - 209088 = 0.
264
Factor 8*t**3 + 18*t**2 + 12*t + 2.
2*(t + 1)**2*(4*t + 1)
Solve -j**2 + 1812*j - 820836 = 0 for j.
906
Factor i**4 - 12*i**3 - 14*i**2 + 12*i + 13.
(i - 13)*(i - 1)*(i + 1)**2
Factor 144*m**4 + 240*m**3 + 100*m**2.
4*m**2*(6*m + 5)**2
Solve 2*j**5 + 32*j**4 - 386*j**3 - 32*j**2 + 384*j = 0 for j.
-24, -1, 0, 1, 8
Find r such that 24*r**4 + 21*r**3 - 243*r**2 + 222*r - 24 = 0.
-4, 1/8, 1, 2
Determine q, given that q**3 - 424*q**2 + 44944*q = 0.
0, 212
Suppose m**5/10 - 2*m**4/5 - m**3/2 + 2*m**2 + 2*m/5 - 8/5 = 0. Calculate m.
-2, -1, 1, 2, 4
Factor -3*j**3/4 + 33*j**2/4 + 39*j/2.
-3*j*(j - 13)*(j + 2)/4
Factor -2*a**3 - 52*a**2.
-2*a**2*(a + 26)
Factor 2*i**2/7 + 30*i/7 + 108/7.
2*(i + 6)*(i + 9)/7
Suppose -2*s**5/13 + 2*s**4 - 64*s**3/13 - 224*s**2/13 + 768*s/13 = 0. Calculate s.
-3, 0, 4, 8
Solve -3*q**5 + 27*q**4 + 6*q**3 - 54*q**2 - 3*q + 27 = 0 for q.
-1, 1, 9
Factor -5*j**3 - 65*j**2 - 50*j + 120.
-5*(j - 1)*(j + 2)*(j + 12)
Suppose -7*t**4/3 - 18*t**3 - 19*t**2/3 + 120*t - 100/3 = 0. What is t?
-5, 2/7, 2
Factor -i**2/2 + 1085*i/2.
-i*(i - 1085)/2
Find g, given that 4*g**4 + 40*g**3 - 436*g**2 + 680*g = 0.
-17, 0, 2, 5
Suppose -2*s**3/9 + 22*s**2/3 + 52*s/3 - 560/9 = 0. What is s?
-4, 2, 35
Factor -5*r**4/4 - 735*r**3/4 + 1485*r**2/4 - 745*r/4.
-5*r*(r - 1)**2*(r + 149)/4
Solve -3*l**4/2 - 15*l**3/2 + 39*l**2/2 - 21*l/2 = 0 for l.
-7, 0, 1
Factor d**5 - 2*d**4 - d**3 + 2*d**2.
d**2*(d - 2)*(d - 1)*(d + 1)
Factor 8*o**3 + 135*o**2 - 321*o + 38.
(o - 2)*(o + 19)*(8*o - 1)
Determine n, given that -n**5/6 - n**4/6 + 4*n**3/3 + 2*n**2 = 0.
-2, 0, 3
Factor -y**4 + 10*y**3 - 25*y**2.
-y**2*(y - 5)**2
Determine o, given that 3*o**5 + 165*o**4 + 2484*o**3 + 5460*o**2 - 8112*o = 0.
-26, -4, 0, 1
Suppose 2*s**3/5 - 822*s**2/5 + 326*s + 2454/5 = 0. Calculate s.
-1, 3, 409
Solve -5*j**2 + 140*j - 935 = 0 for j.
11, 17
Solve y**2 + 18*y + 81 = 0 for y.
-9
Let -3*l**4 + 60*l**3 - 450*l**2 + 1500*l - 1875 = 0. Calculate l.
5
Factor 12*v**4/7 + 3*v**3/7 - 54*v**2/7.
3*v**2*(v - 2)*(4*v + 9)/7
Find c such that 4*c**4/3 - 16*c**3 + 40*c**2 - 112*c/3 + 12 = 0.
1, 9
Let 15*x**5 - 66*x**4 - 51*x**3 + 30*x**2 = 0. Calculate x.
-1, 0, 2/5, 5
Factor 2*z**2 - 78*z.
2*z*(z - 39)
Factor 9*w**4 - 38*w**3 + 53*w**2 - 28*w + 4.
(w - 2)*(w - 1)**2*(9*w - 2)
Factor -4*z**3 - 180*z**2 - 1932*z + 2116.
-4*(z - 1)*(z + 23)**2
Factor 4*i**5 - 48*i**4 + 44*i**3.
4*i**3*(i - 11)*(i - 1)
Let -w**2/3 - 31*w + 190/3 = 0. What is w?
-95, 2
Determine t, given that t**2 + 42*t + 441 = 0.
-21
Solve 4*u**5 + 84*u**4 - 92*u**3 - 84*u**2 + 88*u = 0.
-22, -1, 0, 1
Factor q**2 + 20*q + 19.
(q + 1)*(q + 19)
Suppose -3*v**4/7 - 9*v**3/7 + 12*v/7 = 0. What is v?
-2, 0, 1
Suppose -2*r**4/3 - 2*r**3 - 2*r**2/3 + 2*r + 4/3 = 0. What is r?
-2, -1, 1
Factor 49*u**4 + 210*u**3 + 253*u**2 + 60*u + 4.
(u + 2)**