- 822)**2/9
Find q, given that 4*q**2/9 - 50*q/3 - 26 = 0.
-3/2, 39
Factor -4*p**2 + 16.
-4*(p - 2)*(p + 2)
Factor 4*g**4 - 192*g**3 - 4*g**2 + 192*g.
4*g*(g - 48)*(g - 1)*(g + 1)
Solve 6482*h**3 - 12968*h**2 + 6490*h - 4 = 0.
2/3241, 1
Suppose -3*r**5 - 69*r**4 - 246*r**3 - 354*r**2 - 231*r - 57 = 0. What is r?
-19, -1
Solve 4*x**3 + 84*x**2 + 224*x + 144 = 0 for x.
-18, -2, -1
Find r, given that -2*r**5/11 - 2*r**4 - 80*r**3/11 - 96*r**2/11 = 0.
-4, -3, 0
Factor -2*d**3 - 54*d**2 - 100*d.
-2*d*(d + 2)*(d + 25)
Factor -3*z**2/4 - 669*z/2 + 1350.
-3*(z - 4)*(z + 450)/4
Suppose 50*r**2 + 45*r - 5 = 0. What is r?
-1, 1/10
Factor -i**2/2 - 51*i + 324.
-(i - 6)*(i + 108)/2
Factor -4*n**2 + 148*n + 312.
-4*(n - 39)*(n + 2)
Suppose -5*w**5 + 160*w**4 + 525*w**3 = 0. What is w?
-3, 0, 35
Let -b**5/6 + 11*b**4/6 - 20*b**3/3 + 8*b**2 = 0. Calculate b.
0, 3, 4
Factor -4*s**3 - 1524*s**2 - 193548*s - 8193532.
-4*(s + 127)**3
Solve -15*x**5/7 + 43*x**4/7 - 24*x**3/7 - 4*x**2/7 = 0 for x.
-2/15, 0, 1, 2
Factor 2*a**5/5 - 2*a**4 + 12*a**3/5 + 8*a**2/5 - 16*a/5.
2*a*(a - 2)**3*(a + 1)/5
Factor -8541*c**2/2 - 8547*c/2 - 3.
-3*(c + 1)*(2847*c + 2)/2
Suppose 8*j**3 + 30*j**2 + 24*j - 8 = 0. Calculate j.
-2, 1/4
Factor -4*n**2 - 40*n + 1836.
-4*(n - 17)*(n + 27)
Factor 5*h**2 - 68*h + 224.
(h - 8)*(5*h - 28)
Let 2*a**2/7 + 22*a/7 + 20/7 = 0. Calculate a.
-10, -1
Let 5*l**2 + 400*l - 405 = 0. Calculate l.
-81, 1
Suppose 20*a**4 - 104*a**3 + 4*a**2 + 80*a = 0. Calculate a.
-4/5, 0, 1, 5
Factor 3*z**3 + 57*z**2 + 105*z + 51.
3*(z + 1)**2*(z + 17)
Factor -5*h**4 - 570*h**3 - 17865*h**2 - 92340*h - 131220.
-5*(h + 3)**2*(h + 54)**2
Factor -2*t**3/7 + 58*t**2/7 - 240*t/7.
-2*t*(t - 24)*(t - 5)/7
Solve -490*r**4 - 1456*r**3 - 7088*r**2/5 - 2496*r/5 - 288/5 = 0.
-6/5, -2/7
Determine m so that -4*m**2 - 180*m + 376 = 0.
-47, 2
Factor -5*y**3 - 300*y**2 + 305*y.
-5*y*(y - 1)*(y + 61)
Factor -5*q**2 - 8710*q - 3793205.
-5*(q + 871)**2
Factor 3*v**5 - 24*v**4 - 30*v**3 + 24*v**2 + 27*v.
3*v*(v - 9)*(v - 1)*(v + 1)**2
Find t, given that 2*t**2/21 - 34*t/7 = 0.
0, 51
Factor 12*p**4 + 386*p**3 + 3136*p**2 + 512*p.
2*p*(p + 16)**2*(6*p + 1)
Solve x**4 + 7*x**3 - 30*x**2 = 0.
-10, 0, 3
Factor 15*s**3/2 - 163*s**2/2 + 66*s - 10.
(s - 10)*(3*s - 2)*(5*s - 1)/2
Factor 2*i**2 + 8*i + 8.
2*(i + 2)**2
Solve -3*w**2 + 84*w - 588 = 0 for w.
14
Factor 4*o**3/7 - 20*o**2 + 732*o/7 - 1044/7.
4*(o - 29)*(o - 3)**2/7
Solve 4*q**5 - 8*q**4 - 144*q**3 + 8*q**2 + 140*q = 0 for q.
-5, -1, 0, 1, 7
Factor 12*d**3 + 64*d**2 + 68*d + 16.
4*(d + 1)*(d + 4)*(3*d + 1)
Factor 5*y**4 - 30*y**3 + 60*y**2 - 50*y + 15.
5*(y - 3)*(y - 1)**3
What is h in -4107*h**3/5 + 8658*h**2/5 - 180*h + 24/5 = 0?
2/37, 2
Factor -l**4/7 - 23*l**3/7 - 144*l**2/7 - 36*l.
-l*(l + 3)*(l + 6)*(l + 14)/7
Factor 10*c**2 - 5256*c - 5266.
2*(c + 1)*(5*c - 2633)
Solve g**3/6 - 26*g**2 + 1352*g - 70304/3 = 0.
52
Solve -3*f**3 - 36*f**2 + 45*f + 78 = 0 for f.
-13, -1, 2
Solve -4*k**4/5 + 467*k**3/5 - 1671*k**2/5 - 2707*k/5 - 113 = 0 for k.
-1, -1/4, 5, 113
Let 2*l**3 + 52*l**2 + 418*l + 968 = 0. Calculate l.
-11, -4
Factor 2*s**3/7 - 184*s**2/7 + 3322*s/7 - 2420.
2*(s - 70)*(s - 11)**2/7
Factor 2*g**5 - 138*g**4 + 564*g**3 + 59276*g**2 + 533610*g + 1389150.
2*(g - 45)**2*(g + 7)**3
Let -w**3 - 98*w**2 + 301*w - 202 = 0. Calculate w.
-101, 1, 2
Suppose v**2/2 - 4*v - 9/2 = 0. What is v?
-1, 9
Factor -5*x**4 - 25*x**3 + 140*x**2 + 160*x.
-5*x*(x - 4)*(x + 1)*(x + 8)
What is q in -54*q**5 - 153*q**4 + 84*q**3 + 171*q**2 - 12*q - 36 = 0?
-3, -2/3, 1/2, 1
Solve -2*j**3/23 - 114*j**2/23 - 1680*j/23 - 1568/23 = 0.
-28, -1
Factor -a**4/6 - 767*a**3 - 5299201*a**2/6 - 1764100*a - 2645000/3.
-(a + 1)**2*(a + 2300)**2/6
Factor r**4/6 - 31*r**3/6 + 37*r**2 + 160*r/3 - 256/3.
(r - 16)**2*(r - 1)*(r + 2)/6
Factor -t**5/3 + 49*t**4/3 + 298*t**3 + 4108*t**2/3 + 7352*t/3 + 1536.
-(t - 64)*(t + 2)**3*(t + 9)/3
What is u in -4*u**5/3 + 14936*u**4/3 - 13942756*u**3/3 = 0?
0, 1867
Factor 8*g**3 + 228*g**2 + 1680*g + 784.
4*(g + 14)**2*(2*g + 1)
Find r, given that 5*r**2 - 600*r - 1845 = 0.
-3, 123
Determine v so that -v**5/5 + 7*v**4/5 + v**3 - 71*v**2/5 - 8*v + 20 = 0.
-2, 1, 5
Solve -236*v**2 - 3296*v + 112 = 0.
-14, 2/59
Determine b, given that b**2/5 + 58*b + 4205 = 0.
-145
Factor 2*j**2 + 382*j.
2*j*(j + 191)
What is f in 21*f**3 + 90*f**2 - 648*f - 192 = 0?
-8, -2/7, 4
Factor -4*s**4 + 12052*s**3 - 9072140*s**2 - 9084196*s.
-4*s*(s - 1507)**2*(s + 1)
Determine x so that 5*x**3 + 70*x**2 - 75*x = 0.
-15, 0, 1
Find o, given that 2*o**4 + 636*o**3/5 + 10294*o**2/5 + 1140*o - 3968/5 = 0.
-32, -31, -1, 2/5
Let 6*v**5/11 - 48*v**4/11 - 54*v**3/11 = 0. What is v?
-1, 0, 9
Factor -2*b**4 + 572*b**3 - 52272*b**2 + 1293732*b + 21346578.
-2*(b - 99)**3*(b + 11)
Find q such that 5*q**4 + 1295*q**3 + 83200*q**2 - 84500*q = 0.
-130, 0, 1
Find l such that l**4/2 + 2*l**3 - 73*l**2/2 + 28*l + 66 = 0.
-11, -1, 2, 6
Suppose -2*u**3/5 - 92*u**2/5 + 2*u/5 + 92/5 = 0. What is u?
-46, -1, 1
Suppose 2*o**4/13 + 38*o**3/13 + 198*o**2/13 + 378*o/13 + 216/13 = 0. Calculate o.
-12, -3, -1
Determine w, given that 2*w**3/7 + 18*w**2 + 2592*w/7 + 17496/7 = 0.
-27, -18
Let -2*r**5/3 + 4*r**4/3 + 12*r**3 - 16*r**2/3 - 82*r/3 + 20 = 0. Calculate r.
-3, -2, 1, 5
Factor -b**3/7 - b**2/7.
-b**2*(b + 1)/7
Factor -7*u**4 + 30*u**3 - 43*u**2 + 24*u - 4.
-(u - 2)*(u - 1)**2*(7*u - 2)
Suppose 3*u**3 + 3*u**2 - 18*u = 0. Calculate u.
-3, 0, 2
Let 3*i**3/2 - 12*i**2 - 69*i/2 + 45 = 0. What is i?
-3, 1, 10
Determine v so that -3*v**3/5 - 33*v**2/5 - 96*v/5 - 84/5 = 0.
-7, -2
Factor -10*h**4/17 + 112*h**3 - 760*h**2/17.
-2*h**2*(h - 190)*(5*h - 2)/17
Let -6*p**2/11 + 482*p/11 + 324/11 = 0. Calculate p.
-2/3, 81
Factor 2*x**3/15 - 338*x**2/15 + 4466*x/5 + 5046.
2*(x - 87)**2*(x + 5)/15
Factor 4*b**3/3 + 12*b**2 + 32*b/3.
4*b*(b + 1)*(b + 8)/3
Determine c so that 4*c**2 - 10208*c + 10204 = 0.
1, 2551
Let -2*x**4/11 + 14*x**3/11 + 216*x**2/11 - 248*x/11 - 448/11 = 0. What is x?
-8, -1, 2, 14
Suppose -2*y**2 + 5*y/3 + 1/3 = 0. What is y?
-1/6, 1
Suppose -3*d**4 - 24*d**3 - 9*d**2 + 96*d + 84 = 0. Calculate d.
-7, -2, -1, 2
Solve -u**2/4 - 125*u - 15625 = 0 for u.
-250
Factor -4*q**2 - 44*q - 120.
-4*(q + 5)*(q + 6)
Factor 6*n**3 + 37*n**2 - 98*n.
n*(n - 2)*(6*n + 49)
Solve l**2 - 108*l + 212 = 0.
2, 106
What is a in -6*a**4 - 231*a**3 + 156*a**2 + 1539*a + 702 = 0?
-39, -2, -1/2, 3
Factor -3*g**2 - 54*g - 96.
-3*(g + 2)*(g + 16)
Find j, given that -18*j**3 - 284*j**2 + 4114*j - 900 = 0.
-25, 2/9, 9
Find x, given that x**5/8 - x**4 - x**3/8 + x**2 = 0.
-1, 0, 1, 8
Find c such that 2*c**4 + 82*c**3 - 32*c**2 - 1312*c = 0.
-41, -4, 0, 4
Solve -3*f**2 + 2754*f - 632043 = 0.
459
Find v such that 3*v**3 + 736*v**2 + 977*v + 244 = 0.
-244, -1, -1/3
Let -x**5/3 - 34*x**4/9 + 3*x**3 + 34*x**2/9 - 8*x/3 = 0. Calculate x.
-12, -1, 0, 2/3, 1
Find f such that 2*f**2/3 + 4*f + 16/3 = 0.
-4, -2
Find a such that -2*a**2 + 66*a + 140 = 0.
-2, 35
Factor -5*n**4 - 25*n**3 + 160*n**2 - 180*n.
-5*n*(n - 2)**2*(n + 9)
Factor 16*l**2 - 12*l - 4.
4*(l - 1)*(4*l + 1)
Suppose l**5/6 - 6*l**4 + 23*l**3/2 - 17*l**2/3 = 0. What is l?
0, 1, 34
Suppose -3*p**4/7 - 75*p**3 + 528*p**2/7 = 0. What is p?
-176, 0, 1
Factor -j**2/9 + 68*j/9 + 71/3.
-(j - 71)*(j + 3)/9
Factor -5*l**2 - 90*l + 95.
-5*(l - 1)*(l + 19)
Factor 162*k**5 + 17892*k**4 + 497978*k**3 + 218680*k**2 + 24200*k.
2*k*(k + 55)**2*(9*k + 2)**2
Solve t**2/12 + 3*t/2 + 17/12 = 0.
-17, -1
Solve -2*j**4/11 - 78*j**3/11 - 122*j**2/11 + 942*j/11 - 740/11 = 0.
-37, -5, 1, 2
Let -3*p**2/2 + 3201*p + 6408 = 0. Calculate p.
-2, 2136
Determine f, given that f**4 - 14*f**3 - 73*f**2 + 14*f + 72 = 0.
-4, -1, 1, 18
Determine l so that -5*l**5 - 15*l**4 + 10*l**3 + 30*l**2 - 5*l - 15 = 0.
-3, -1, 1
Factor 5*v**4 + 165*v**3 - 180*v**2 - 340*v.
5*v*(v - 2)*(v + 1)*(v + 34)
Solve 2*b**3/11 + 8*b**2/11 - 104*b/11 + 160/11 = 0 for b.
-10, 2, 4
Solve -40*w**5/3 + 9*w**4/2 + 161*w**3/3 - 18*w**2 - 4*w/3 = 0 for w.
-2, -1/16, 0, 2/5, 2
Find g, given that -4*g**2/3 - 16*g/3 + 20/3 = 0.
-5, 1
Solve s**2/6 + 188*s/3 - 377/6 = 0.
-377, 1
Find o, given that -2*o**3/5 - 12*o**2/5 + 32*o/5 = 0.
-8, 0, 2
Solve -8*t**2 - 100*t - 132 = 0 for t.
-11, -3/2
Factor -49*g**4 - 322*g**3 - 613*g**2 - 