 4
Factor c**2/5 + 1516*c/5 + 3028/5.
(c + 2)*(c + 1514)/5
Determine w, given that 3*w**5 - 24*w**3 + 18*w**2 + 21*w - 18 = 0.
-3, -1, 1, 2
Factor 3*n**2 + 372*n - 375.
3*(n - 1)*(n + 125)
Determine i, given that 2*i**4 - 4*i**3 - 16*i**2 = 0.
-2, 0, 4
Factor -3*m**2 - 69*m - 180.
-3*(m + 3)*(m + 20)
Factor 361*o**4/10 + 342*o**3/5 + 143*o**2/5 - 18*o/5 + 1/10.
(o + 1)**2*(19*o - 1)**2/10
Factor 4*q**3 - 652*q**2 - 9716*q - 34692.
4*(q - 177)*(q + 7)**2
Find u, given that 4*u**5 + 32*u**4 + 64*u**3 + 8*u**2 - 68*u - 40 = 0.
-5, -2, -1, 1
Suppose 20*d**5/7 + 76*d**4/7 - 148*d**3/7 - 100*d**2 - 752*d/7 - 256/7 = 0. Calculate d.
-4, -1, 16/5
Find u, given that 5*u**2 - 60*u = 0.
0, 12
Factor -5*c**2/4 + 39*c/4 + 2.
-(c - 8)*(5*c + 1)/4
Factor 3*y**2/5 + 3*y/5 - 126/5.
3*(y - 6)*(y + 7)/5
Let -2*q**3 + 68*q**2 - 578*q = 0. What is q?
0, 17
Factor -2*v**2/3 - 172*v/3 + 352/3.
-2*(v - 2)*(v + 88)/3
Suppose -5*q**2 + 1090*q - 1085 = 0. What is q?
1, 217
Determine p, given that -4*p**5/5 - 2*p**4/5 + 46*p**3/5 + 14*p**2/5 - 18*p + 36/5 = 0.
-3, -2, 1/2, 1, 3
Factor -3*j**4/2 - 24*j**3 - 141*j**2 - 360*j - 675/2.
-3*(j + 3)**2*(j + 5)**2/2
Let 2*v**5/15 + 4*v**4/3 - 10*v**3 + 8*v**2/3 + 568*v/15 - 32 = 0. What is v?
-15, -2, 1, 2, 4
Find t such that t**2/9 - 4*t/9 = 0.
0, 4
Let -5*f**4 + 15*f**2 - 10*f = 0. What is f?
-2, 0, 1
Let -5*a**5 - 40*a**4 + 255*a**3 + 90*a**2 - 1080*a = 0. Calculate a.
-12, -2, 0, 3
Let d**3 - 5*d**2 - 106*d - 280 = 0. What is d?
-5, -4, 14
Factor -5*w**4 + 15*w**3 + 195*w**2 - 575*w - 750.
-5*(w - 5)**2*(w + 1)*(w + 6)
Factor -h**2 + h + 2.
-(h - 2)*(h + 1)
Factor -2*d**2 + 16*d + 18.
-2*(d - 9)*(d + 1)
Factor 8*n**3/21 - 302*n**2/21 + 14*n.
2*n*(n - 1)*(4*n - 147)/21
Suppose 6*u**3/7 + 914*u**2/7 + 34960*u/7 + 11552/7 = 0. Calculate u.
-76, -1/3
Determine d, given that d**5/2 + 19*d**4 - 303*d**3/2 + 270*d**2 = 0.
-45, 0, 3, 4
What is y in -2*y**4 - 28*y**3 - 24*y**2 + 28*y + 26 = 0?
-13, -1, 1
Factor 3*o**2/7 + 2010*o + 2356725.
3*(o + 2345)**2/7
Determine j, given that 3*j**2/4 - 351*j/4 = 0.
0, 117
Let -5*g**2 - 670*g - 1320 = 0. What is g?
-132, -2
Let 2*z**2/11 + 18536*z/11 + 42947912/11 = 0. What is z?
-4634
Factor -l**5 - 105*l**4 - 2806*l**3 - 2496*l**2 + 5408*l.
-l*(l - 1)*(l + 2)*(l + 52)**2
Factor 2*h**5/5 - 6*h**4 + 32*h**3 - 64*h**2 + 512/5.
2*(h - 4)**4*(h + 1)/5
Factor m**2/4 - 35*m/4 + 17/2.
(m - 34)*(m - 1)/4
Factor 2*v**3/7 - 36*v**2/7 + 120*v/7 + 400/7.
2*(v - 10)**2*(v + 2)/7
Factor 4*d**2 + 24*d - 2464.
4*(d - 22)*(d + 28)
Factor 64*b**3 + 380*b**2 - 472*b + 28.
4*(b - 1)*(b + 7)*(16*b - 1)
Factor -2*p**2/3 + 296*p/3 + 1280.
-2*(p - 160)*(p + 12)/3
Suppose 45*j**2 - 147*j + 36 = 0. What is j?
4/15, 3
Let 2*l**4/23 - 6*l**2/23 + 4*l/23 = 0. What is l?
-2, 0, 1
Factor -2*m**2/19 + 232*m/19 - 6728/19.
-2*(m - 58)**2/19
Solve -209*g**2/2 + 210*g - 2 = 0 for g.
2/209, 2
Factor 2*k**2/3 - 2*k - 20/3.
2*(k - 5)*(k + 2)/3
Solve -v**4/8 - 61*v**3/4 - 3841*v**2/8 - 915*v - 450 = 0.
-60, -1
Factor 2*a**2 - 448*a + 25088.
2*(a - 112)**2
Find q, given that -2*q**4 + 39988*q**3 - 266493360*q**2 + 591881725900*q + 592148259250 = 0.
-1, 6665
Find q, given that -q**3/3 - 217*q**2/3 - 72*q = 0.
-216, -1, 0
Factor v**2 - 11*v + 28.
(v - 7)*(v - 4)
Determine l, given that -2*l**4/17 + 42*l**3/17 - 36*l**2/17 - 712*l/17 - 912/17 = 0.
-2, 6, 19
Factor -p**4 - 4*p**3.
-p**3*(p + 4)
Let -147*p**4 + 80052*p**3 + 34407*p**2 - 39252*p + 6540 = 0. Calculate p.
-1, 2/7, 545
Determine g, given that 7*g**5 + 12*g**4 + 3*g**3 - 2*g**2 = 0.
-1, 0, 2/7
Let -l**5/5 + l**3/5 = 0. Calculate l.
-1, 0, 1
Suppose -4*p**3 - 3672*p**2 - 842724*p = 0. What is p?
-459, 0
Factor -51*t**2/5 + 3474*t/5 - 408/5.
-3*(t - 68)*(17*t - 2)/5
Factor -484*q**2 - 80960*q - 3385600.
-4*(11*q + 920)**2
Find a, given that -2*a**2 + 426*a - 1260 = 0.
3, 210
Let 5*b**5 + 15*b**4 - 20*b**2 = 0. Calculate b.
-2, 0, 1
Suppose 4*g**2/9 + 68*g/9 - 152/9 = 0. What is g?
-19, 2
What is g in 6*g**5 - 52*g**4 + 126*g**3 - 48*g**2 - 32*g = 0?
-1/3, 0, 1, 4
Solve 2*q**2/7 + 28*q + 686 = 0.
-49
Determine x so that 4*x**5 + 112*x**4 + 204*x**3 - 112*x**2 - 208*x = 0.
-26, -2, -1, 0, 1
Factor 8788*i**5 - 13520*i**4 + 1300*i**3 + 2840*i**2 + 560*i + 32.
4*(i - 1)**2*(13*i + 2)**3
Factor 125*b**5/2 - 10450*b**4 + 886085*b**3/2 - 521659*b**2 + 207334*b - 27556.
(b - 83)**2*(5*b - 2)**3/2
Suppose -5*h**2 + 80*h = 0. Calculate h.
0, 16
Suppose 735*o**5 - 6475*o**4 + 46955*o**3/3 - 7865*o**2 - 5840*o/3 - 100 = 0. Calculate o.
-2/21, 1, 3, 5
Determine t so that -6*t**5/11 - 420*t**4/11 - 8862*t**3/11 - 53664*t**2/11 - 121272*t/11 - 92256/11 = 0.
-31, -4, -2
Suppose -t**2/2 + 25*t - 141/2 = 0. What is t?
3, 47
Factor t**2 + 1426*t + 508369.
(t + 713)**2
Factor -3*b**3 + 2010*b**2 - 4011*b + 2004.
-3*(b - 668)*(b - 1)**2
Solve w**4/4 + 17*w**3/2 + 53*w**2 - 665*w/2 + 1083/4 = 0 for w.
-19, 1, 3
Factor -5*n**2 - 20700*n - 21424500.
-5*(n + 2070)**2
Factor 3*r**2/7 + 138*r/7 + 1587/7.
3*(r + 23)**2/7
Solve -3*x**2/4 + 63*x/4 + 465/2 = 0 for x.
-10, 31
Factor -3*w**3/2 + 63*w**2/2 - 147*w.
-3*w*(w - 14)*(w - 7)/2
Suppose 3*d**2/8 - 87*d/8 + 75/2 = 0. What is d?
4, 25
Factor 4*j**3 - 40*j**2 + 4*j + 480.
4*(j - 8)*(j - 5)*(j + 3)
Factor 3*k**4 + 12*k**3 + 9*k**2 - 12*k - 12.
3*(k - 1)*(k + 1)*(k + 2)**2
Factor -4*a**5 - 20*a**4 - 16*a**3.
-4*a**3*(a + 1)*(a + 4)
Factor -2*f**3/13 + 12*f**2/13 + 14*f/13.
-2*f*(f - 7)*(f + 1)/13
Factor -4*n**3 - 84*n**2 - 272*n.
-4*n*(n + 4)*(n + 17)
Find i such that 3*i**3 - 1734*i**2 + 247059*i + 1016172 = 0.
-4, 291
Factor -2*d**3 + 4802*d**2.
-2*d**2*(d - 2401)
Factor -2*b**3 + 124*b**2 + 806*b + 680.
-2*(b - 68)*(b + 1)*(b + 5)
Factor 5*v**2/2 + 385*v/2 + 375.
5*(v + 2)*(v + 75)/2
What is j in -4*j**2/3 + 808*j/3 - 40804/3 = 0?
101
Let 3*h**4/5 - 3*h**2 + 12/5 = 0. Calculate h.
-2, -1, 1, 2
Factor -y**5/7 + 45*y**4/7 - 720*y**3/7 + 4320*y**2/7 - 62208/7.
-(y - 12)**4*(y + 3)/7
Let -o**4 + o**3 = 0. What is o?
0, 1
Find g, given that 26*g**4/5 + 142*g**3/5 - 96*g**2/5 - 72*g/5 = 0.
-6, -6/13, 0, 1
Find j such that -4*j**5 - 120*j**4 - 732*j**3 + 3128*j**2 + 6912*j - 18432 = 0.
-16, -3, 2, 3
Factor 3*j**3/2 - 9*j/2 + 3.
3*(j - 1)**2*(j + 2)/2
Factor 25*n**3 - 60*n**2 - 1555*n + 630.
5*(n - 9)*(n + 7)*(5*n - 2)
What is y in -5*y**2 + 3490*y + 7000 = 0?
-2, 700
Factor w**2/3 - 4282*w/3 + 4583881/3.
(w - 2141)**2/3
Factor -4*x**3 + 720*x**2 - 43200*x + 864000.
-4*(x - 60)**3
Determine c, given that 5*c**2/2 + 765*c/2 + 9455 = 0.
-122, -31
Solve 2*b**5/19 + 6*b**4 + 212*b**3/19 - 24*b**2 - 880*b/19 = 0 for b.
-55, -2, 0, 2
Factor 2*m**2/13 - 64*m/13 - 210/13.
2*(m - 35)*(m + 3)/13
Factor -4*u**2 - 72*u + 76.
-4*(u - 1)*(u + 19)
Factor -35*n**5 + 30*n**4 + 5*n**3.
-5*n**3*(n - 1)*(7*n + 1)
Find q such that q**4/3 - 2*q**3/3 - 23*q**2 + 90*q = 0.
-9, 0, 5, 6
Factor -3*d**5/4 - 3*d**4 + 15*d**3/4.
-3*d**3*(d - 1)*(d + 5)/4
Factor -2*x**4 - 390*x**3 - 19584*x**2 - 55296*x.
-2*x*(x + 3)*(x + 96)**2
Factor -5*o**2 - 310*o - 4805.
-5*(o + 31)**2
Factor 2*p**2/7 + 100*p/7 + 192/7.
2*(p + 2)*(p + 48)/7
What is u in 5*u**4 + 345*u**3 - 1070*u**2 + 720*u = 0?
-72, 0, 1, 2
Suppose g**2 - 116*g + 228 = 0. Calculate g.
2, 114
Determine n, given that n**4/7 + n**3/7 - 24*n**2/7 + 36*n/7 = 0.
-6, 0, 2, 3
Let -11*a**2/3 + 35*a - 18 = 0. Calculate a.
6/11, 9
Suppose 2*h**4/9 - 64*h**3/9 + 454*h**2/9 - 944*h/9 + 184/3 = 0. What is h?
1, 2, 6, 23
Factor -d**2/4 + 57*d/4 + 29/2.
-(d - 58)*(d + 1)/4
What is t in -3*t**3/2 - 33*t**2/2 + 3*t + 180 = 0?
-10, -4, 3
Find u such that 14*u**5 - 8*u**4 - 98*u**3 - 28*u**2 + 48*u = 0.
-2, -1, 0, 4/7, 3
Find g, given that 4*g**4 + 144*g**3 + 1728*g**2 + 6912*g = 0.
-12, 0
Let -4*s**3 + 4*s**2 + 8*s = 0. Calculate s.
-1, 0, 2
Solve -28*w**3 + 736*w**2 + 1360*w - 448 = 0.
-2, 2/7, 28
Factor b**3/5 - 233*b**2/5 + 2691*b + 13689/5.
(b - 117)**2*(b + 1)/5
Factor p**4/8 - 67*p**3/8 + 493*p**2/8 - 1257*p/8 + 531/4.
(p - 59)*(p - 3)**2*(p - 2)/8
Factor -3*y**3/4 + 1071*y**2/4 + 3*y/4 - 1071/4.
-3*(y - 357)*(y - 1)*(y + 1)/4
Suppose -2*y**3/11 - 20*y**2/11 - 54*y/11 - 36/11 = 0. Calculate y.
-6, -3, -1
Solve a**3/4 + 549*a**2/4 + 100467*a/4 + 6128487/4 = 0 for a.
-183
Suppose 8*s**3 - 1756*s**2 - 2660*s + 1768 = 0. Calculate s.
-2, 1/2, 221
Fac