, 0, 1, 2
Suppose -9*v**5 + 21*v**4 + 3*v**3 - 21*v**2 + 6*v = 0. What is v?
-1, 0, 1/3, 1, 2
Let -2*x**5/3 - 56*x**4/3 - 506*x**3/3 - 1388*x**2/3 + 1408*x/3 + 7744/3 = 0. Calculate x.
-11, -4, 2
Solve 3*p**2 + 57*p - 990 = 0.
-30, 11
Factor 2*z**2 - 42*z + 40.
2*(z - 20)*(z - 1)
Factor i**2 + 4*i - 12.
(i - 2)*(i + 6)
Let s**3/2 + 5*s**2 - 11*s/2 = 0. What is s?
-11, 0, 1
Factor 3*y**2 + 21*y - 24.
3*(y - 1)*(y + 8)
Solve -4*x**4 - 168*x**3 + 528*x**2 - 536*x + 180 = 0 for x.
-45, 1
Let -2*h**5/9 - 4*h**4/9 + 8*h**3/3 - 28*h**2/9 + 10*h/9 = 0. Calculate h.
-5, 0, 1
Solve -25*b**3/12 + 19*b**2/3 - 53*b/12 + 1/6 = 0 for b.
1/25, 1, 2
Factor 5*u**4 + 245*u**3 + 3825*u**2 + 15895*u - 49130.
5*(u - 2)*(u + 17)**3
Factor r**5/4 - 3*r**4/4 - 9*r**3 - 8*r**2.
r**2*(r - 8)*(r + 1)*(r + 4)/4
Determine p, given that p**3/10 + p**2/5 - 2*p/5 - 4/5 = 0.
-2, 2
Suppose -y**5 - 3*y**4 + 3*y**3 + 11*y**2 + 6*y = 0. What is y?
-3, -1, 0, 2
Factor -5*y**3/4 - 25*y**2/4.
-5*y**2*(y + 5)/4
Let l**4 - 272*l**3/3 + 5381*l**2/3 + 12128*l + 3840 = 0. What is l?
-5, -1/3, 48
Factor 3*a**5 + 42*a**4 + 108*a**3 + 102*a**2 + 33*a.
3*a*(a + 1)**3*(a + 11)
Factor 3*m**2/2 - 36*m.
3*m*(m - 24)/2
Factor -m**3 + 8*m**2 + 31*m + 22.
-(m - 11)*(m + 1)*(m + 2)
Factor 98*d**3/11 + 574*d**2/11 + 438*d/11 + 90/11.
2*(d + 5)*(7*d + 3)**2/11
Find l such that -3*l**2 - 330*l + 672 = 0.
-112, 2
Factor 2*z**3/7 - 226*z**2/7 - 458*z/7 - 230/7.
2*(z - 115)*(z + 1)**2/7
Solve 5*v**5 - 45*v**4 + 105*v**3 - 95*v**2 + 30*v = 0 for v.
0, 1, 6
Factor 2*y**4/7 - 212*y**3/7 + 624*y**2/7 - 620*y/7 + 206/7.
2*(y - 103)*(y - 1)**3/7
Factor 2*k**3 - 10*k**2 - 2*k + 10.
2*(k - 5)*(k - 1)*(k + 1)
Suppose -3*o**5/2 + 30*o**4 - 3000*o**2 + 15000*o = 0. What is o?
-10, 0, 10
Factor -8*y**3/9 - 2*y**2 + 20*y/3 + 16/9.
-2*(y - 2)*(y + 4)*(4*y + 1)/9
Determine s so that -4*s**3 - 64*s**2 - 220*s + 288 = 0.
-9, -8, 1
Factor 4*q**2 - 1076*q.
4*q*(q - 269)
Suppose 4*g**2 - 643*g - 161 = 0. Calculate g.
-1/4, 161
Factor 5*i**2 - 545*i.
5*i*(i - 109)
Factor -3*r**2 + 48*r - 84.
-3*(r - 14)*(r - 2)
Factor 2*t**4/7 - 52*t**3/7 - 16*t**2.
2*t**2*(t - 28)*(t + 2)/7
Factor -d**2/3 - 2*d - 8/3.
-(d + 2)*(d + 4)/3
Factor 2*p**4 + 1184*p**3 + 174044*p**2 - 351648*p + 176418.
2*(p - 1)**2*(p + 297)**2
Suppose 14*i**4/5 - 538*i**3/5 - 180*i**2 + 784*i/5 + 128 = 0. Calculate i.
-2, -4/7, 1, 40
Factor -2*z**2/5 + 56*z/5.
-2*z*(z - 28)/5
Factor 3*p**3/7 - 909*p**2/7 + 8865*p/7 - 21975/7.
3*(p - 293)*(p - 5)**2/7
Factor 507*o**2/5 - 1872*o/5 + 1728/5.
3*(13*o - 24)**2/5
Factor -r**2/2 - 6*r - 27/2.
-(r + 3)*(r + 9)/2
Find n, given that -2*n**2/21 - 88*n/21 = 0.
-44, 0
Determine k, given that -k**4/12 - 7*k**3/4 = 0.
-21, 0
Find f, given that -f**2 + 446*f + 447 = 0.
-1, 447
Suppose 5*v**4/3 + 1225*v**3/3 + 405*v**2 - 1225*v/3 - 1220/3 = 0. What is v?
-244, -1, 1
Factor -5*f**3 + 1155*f**2 - 88935*f + 2282665.
-5*(f - 77)**3
Solve t**5/3 - 10*t**4/3 + 37*t**3/3 - 64*t**2/3 + 52*t/3 - 16/3 = 0 for t.
1, 2, 4
Let 5*l**5 - 110*l**4 + 165*l**3 + 740*l**2 - 740*l - 1200 = 0. What is l?
-2, -1, 2, 3, 20
Factor -m**5 + 5*m**4 - 9*m**3 + 7*m**2 - 2*m.
-m*(m - 2)*(m - 1)**3
Factor -4*z**2 + 68*z - 64.
-4*(z - 16)*(z - 1)
Factor t**3/4 - 169*t**2/4 + 1806*t - 1764.
(t - 84)**2*(t - 1)/4
Find u such that -2*u**4/9 - 152*u**3/9 - 1012*u**2/3 - 5624*u/9 - 2738/9 = 0.
-37, -1
Factor -4*a**4 + 532*a**3 + 1076*a**2 + 540*a.
-4*a*(a - 135)*(a + 1)**2
Factor -3*o**4/7 - 6*o**3/7 + 3*o**2/7 + 6*o/7.
-3*o*(o - 1)*(o + 1)*(o + 2)/7
Let 4*u**5/7 - 8*u**4/7 - 172*u**3/7 + 944*u**2/7 - 1776*u/7 + 1152/7 = 0. Calculate u.
-8, 2, 3
What is f in -5*f**4 + 15*f**3 - 10*f**2 = 0?
0, 1, 2
Factor 3*t**2/4 - 183*t/4.
3*t*(t - 61)/4
Factor 3*s**3/4 - 54*s**2 + 105*s.
3*s*(s - 70)*(s - 2)/4
Find i, given that -3*i**4 - 15*i**3 - 21*i**2 - 9*i = 0.
-3, -1, 0
Factor -3*p**2/4 + 150*p - 7500.
-3*(p - 100)**2/4
Find k such that -10*k**3 + 98*k**2 - 304*k + 288 = 0.
9/5, 4
Suppose 13*g**4/2 + 37*g**3 - 271*g**2/2 - 118*g + 48 = 0. Calculate g.
-8, -1, 4/13, 3
Let 5*c**4 + 1790*c**3 + 173885*c**2 + 2448720*c + 9357120 = 0. What is c?
-171, -8
Determine s so that -14*s**5/9 + 50*s**4/3 + 1346*s**3/9 + 2458*s**2/9 + 172*s + 272/9 = 0.
-4, -1, -2/7, 17
Factor -2*j**4 + 1012*j**3 - 130026*j**2 + 508024*j - 504008.
-2*(j - 251)**2*(j - 2)**2
Factor j**2 + 20*j + 19.
(j + 1)*(j + 19)
Factor v**4/2 - 221*v**3/2 - 790*v**2 - 1818*v - 1368.
(v - 228)*(v + 2)**2*(v + 3)/2
Find u such that 3*u**3/5 + 21*u**2/5 - 18*u = 0.
-10, 0, 3
Factor -4*u**4 + 36*u**3 - 32*u**2.
-4*u**2*(u - 8)*(u - 1)
Solve 3*h**3 - 171*h**2 - 723*h - 549 = 0.
-3, -1, 61
Factor -s**4/5 + 12*s**3/5 - 2*s**2 - 12*s/5 + 11/5.
-(s - 11)*(s - 1)**2*(s + 1)/5
What is p in -5*p**5 + 15*p**4 + 55*p**3 - 75*p**2 - 230*p - 120 = 0?
-2, -1, 3, 4
Let 5*o**2 + 6420*o + 2060820 = 0. Calculate o.
-642
Find k such that -35*k**4 + 355*k**3 - 360*k**2 = 0.
0, 8/7, 9
Factor -x**2 + 5526*x - 7634169.
-(x - 2763)**2
Find c, given that 30*c**2 - 1341*c - 405 = 0.
-3/10, 45
Solve -5*h**2 + 5*h + 100 = 0 for h.
-4, 5
Let -l**2/2 - 15*l/2 + 17 = 0. Calculate l.
-17, 2
Suppose -5*l**3 + 15*l**2 - 15*l + 5 = 0. What is l?
1
Suppose -5*j**2 - 850*j - 3320 = 0. What is j?
-166, -4
Factor -4*f**2/3 + 104*f/3 + 224/3.
-4*(f - 28)*(f + 2)/3
Find a, given that -9*a**3 + 51*a**2 + 24*a - 36 = 0.
-1, 2/3, 6
Factor 5*o**2/4 + 55*o/2 + 605/4.
5*(o + 11)**2/4
Factor -x**2/3 + 584*x/9 - 388/9.
-(x - 194)*(3*x - 2)/9
Factor -4*i**4 - 92*i**3 - 432*i**2 + 1728*i + 6912.
-4*(i - 4)*(i + 3)*(i + 12)**2
Suppose -i**2/8 - 1431*i/4 - 2047761/8 = 0. What is i?
-1431
Factor 5*j**4 + 45*j**3 + 90*j**2.
5*j**2*(j + 3)*(j + 6)
Let -f**4/6 - 5*f**3 + 167*f**2/6 - 46*f + 70/3 = 0. What is f?
-35, 1, 2
Determine s so that -1083*s**5/4 - 1197*s**4 - 2955*s**3/4 + 2925*s**2/2 + 672*s + 72 = 0.
-3, -2, -4/19, 1
Factor 2*r**3/7 + 8*r**2/7 + 10*r/7 + 4/7.
2*(r + 1)**2*(r + 2)/7
Factor 5*a**4 + 65*a**3 + 160*a**2 + 100*a.
5*a*(a + 1)*(a + 2)*(a + 10)
Factor 3*l**2/8 + 109*l/8 + 165/4.
(l + 33)*(3*l + 10)/8
Factor -2*b**3/9 + 2*b**2/9 + 14*b/3 - 10.
-2*(b - 3)**2*(b + 5)/9
Suppose 2*j**2/17 - 60*j/17 + 58/17 = 0. Calculate j.
1, 29
Suppose -c**5 + 2*c**4 + 7*c**3 + 4*c**2 = 0. Calculate c.
-1, 0, 4
What is q in -450*q**4 + 4110*q**3 + 9358*q**2 - 1302*q + 44 = 0?
-2, 1/15, 11
Factor -2*l**2 + 132*l - 496.
-2*(l - 62)*(l - 4)
Factor 40*i**4 - 68*i**3 + 16*i**2 + 12*i.
4*i*(i - 1)**2*(10*i + 3)
Factor 2*t**3/9 - 22*t**2/9 + 52*t/9 - 32/9.
2*(t - 8)*(t - 2)*(t - 1)/9
Find r, given that -2*r**5 - 50*r**4 - 214*r**3 - 286*r**2 - 120*r = 0.
-20, -3, -1, 0
Find q, given that -4*q**2/7 - 376*q/7 - 372/7 = 0.
-93, -1
Let 4*h**3/3 + 2*h**2 - 2/3 = 0. What is h?
-1, 1/2
What is u in -4*u**5 + 272*u**4 + 560*u**3 + 8*u**2 - 556*u - 280 = 0?
-1, 1, 70
Suppose 4*i**3 + 48*i**2 + 140*i + 96 = 0. What is i?
-8, -3, -1
Factor n**2/2 + 13*n/2 + 6.
(n + 1)*(n + 12)/2
Factor -u**5 - 17*u**4 + 57*u**3 - 59*u**2 + 20*u.
-u*(u - 1)**3*(u + 20)
Factor 2*f**4 + 250*f**3 - 6*f**2 - 746*f + 500.
2*(f - 1)**2*(f + 2)*(f + 125)
Suppose i**4/9 - 2*i**3/3 - 4*i**2/3 + 70*i/9 + 25/3 = 0. What is i?
-3, -1, 5
Determine l so that 2*l**4/9 + 20*l**3/3 + 24*l**2 + 208*l/9 = 0.
-26, -2, 0
Suppose -s**4/6 - 46*s**3/3 - 1187*s**2/3 - 1978*s - 5547/2 = 0. What is s?
-43, -3
Factor 2*b**2 - 60*b - 62.
2*(b - 31)*(b + 1)
Find a such that -2*a**2 - 10*a - 12 = 0.
-3, -2
Factor 4*n**2 + 52*n + 48.
4*(n + 1)*(n + 12)
Find h such that 35*h**5 - 80*h**4 + 20*h**3 + 70*h**2 - 55*h + 10 = 0.
-1, 2/7, 1
Determine t so that t**5/4 - 27*t**4/4 + 87*t**3/4 + 115*t**2/4 = 0.
-1, 0, 5, 23
Determine o so that 3*o**5 - 30*o**3 + 60*o**2 - 45*o + 12 = 0.
-4, 1
Factor 2*w**2/15 - 2*w/3.
2*w*(w - 5)/15
Find p, given that -3*p**2/8 + 33*p/8 - 27/4 = 0.
2, 9
Factor 63*n**3/2 + 125*n**2/2 + 61*n/2 - 1/2.
(n + 1)**2*(63*n - 1)/2
Factor -q**2/5 - 84*q + 421/5.
-(q - 1)*(q + 421)/5
Let 2*d**4/3 - 1040*d**3/3 + 135200*d**2/3 = 0. Calculate d.
0, 260
Suppose 4*q**3 - 144*q**2 + 380*q + 528 = 0. Calculate q.
-1, 4, 33
Factor 5*f**2 - 730*f - 735.
5*(f - 147)*(f + 1)
Factor 4*q**3 + 264*q**2 + 516*q + 256.
4*(q + 1)**2*(q + 64)
What is s in 3*s**5/2 - 180*s**4 + 5211*s**3 + 11712*s**2 - 33489*s/2 = 0?
-3, 0, 1, 61
Determine y so