et -v**2 + 23*v + 24 = 0. Calculate v.
-1, 24
Factor -b**5/3 + 203*b**4/3 - 9994*b**3/3 - 31210*b**2/3 - 31621*b/3 - 10609/3.
-(b - 103)**2*(b + 1)**3/3
Factor 2*y**2/13 + 3226*y/13 - 3228/13.
2*(y - 1)*(y + 1614)/13
Let -j**5 + 7*j**4 + 28*j**3 + 20*j**2 = 0. Calculate j.
-2, -1, 0, 10
Find r, given that r**3/6 + 4*r**2 - 17*r/2 + 13/3 = 0.
-26, 1
What is y in -2*y**4 + 8*y**3 - 10*y**2 + 4*y = 0?
0, 1, 2
Suppose -m**2 + 342*m - 29241 = 0. What is m?
171
Find l such that 4*l**4 + 62*l**3 + 282*l**2 + 144*l - 1080 = 0.
-6, -5, 3/2
Factor p**3/2 + 1162*p**2 + 4642*p + 4640.
(p + 2)**2*(p + 2320)/2
Determine w so that 5*w**4/6 - 275*w**3/6 + 4945*w**2/6 - 27265*w/6 - 5415 = 0.
-1, 18, 19
Factor -4*p**3 - 464*p**2 + 4*p + 464.
-4*(p - 1)*(p + 1)*(p + 116)
Determine g, given that g**4/5 + 44*g**3/5 + 126*g**2 + 540*g - 675 = 0.
-15, 1
Factor 2*t**2 - 166*t.
2*t*(t - 83)
Determine i so that -93*i**2 - 99*i - 6 = 0.
-1, -2/31
Factor -j**4/3 + 14*j**3/3 + 4*j**2/3 - 56*j/3.
-j*(j - 14)*(j - 2)*(j + 2)/3
Suppose -5*h**5 - 60*h**4 - 240*h**3 - 400*h**2 - 240*h = 0. Calculate h.
-6, -2, 0
Factor 3*d**3 + 102*d**2 + 93*d - 198.
3*(d - 1)*(d + 2)*(d + 33)
Suppose 5*h**4/3 - 40*h**3/3 + 55*h**2/3 + 160*h/3 - 100 = 0. What is h?
-2, 2, 3, 5
Determine w so that -3*w**3 + 12*w**2 = 0.
0, 4
Suppose 2*y**3/9 + 550*y**2/9 + 1094*y/9 + 182/3 = 0. What is y?
-273, -1
Let 2*h**4/3 + 28*h**3/3 - 310*h**2/3 + 296*h - 264 = 0. What is h?
-22, 2, 3
Let 2*s**5/7 - 76*s**4/7 + 936*s**3/7 - 4752*s**2/7 + 8640*s/7 = 0. Calculate s.
0, 6, 20
Solve -18*y**2 + 74*y - 8 = 0 for y.
1/9, 4
Find k, given that 3*k**3 - 600*k**2 + 2352*k = 0.
0, 4, 196
Solve -121*g**2/6 + 176*g - 384 = 0.
48/11
Factor 2*a**2 - 2688*a - 2690.
2*(a - 1345)*(a + 1)
Determine t so that 3*t**5 - 78*t**4 + 327*t**3 + 2340*t**2 + 2700*t = 0.
-2, 0, 15
Factor -8*g**3 + 54*g**2 + 20*g - 42.
-2*(g - 7)*(g + 1)*(4*g - 3)
What is t in 24*t**3 + 256*t**2/5 + 146*t/5 + 24/5 = 0?
-4/3, -1/2, -3/10
Suppose -v**3/8 + 5*v**2/8 - 7*v/8 + 3/8 = 0. What is v?
1, 3
Suppose 15*c**3/2 - 500*c**2/3 + 1010*c/3 - 200/3 = 0. Calculate c.
2/9, 2, 20
Factor x**3 + 215*x**2 + 427*x + 213.
(x + 1)**2*(x + 213)
Determine z, given that -3*z**4 - 471*z**3 - 17760*z**2 + 57600*z = 0.
-80, 0, 3
Solve -5*g**2 + 40*g - 35 = 0.
1, 7
Find f, given that -3*f**4 - 195*f**3 - 186*f**2 + 384*f = 0.
-64, -2, 0, 1
Solve -3*y**3/2 - 43*y**2/2 + 31*y/2 + 15/2 = 0 for y.
-15, -1/3, 1
Suppose -12*c**3/11 - 74*c**2 + 964*c/11 - 138/11 = 0. Calculate c.
-69, 1/6, 1
Factor q**2 - 286*q + 20449.
(q - 143)**2
Suppose -35*b**4 - 115*b**3 + 5*b**2 + 115*b + 30 = 0. Calculate b.
-3, -1, -2/7, 1
Factor -m**3 - 5*m**2 + 32*m - 36.
-(m - 2)**2*(m + 9)
Solve -2*v**2/7 - 22*v/7 - 36/7 = 0.
-9, -2
Suppose 20*s**3 - 600*s**2 + 585*s - 145 = 0. Calculate s.
1/2, 29
Find a, given that -a**3 + 20*a**2 + 427*a + 1666 = 0.
-7, 34
Factor 4*k**2 - 992*k - 2000.
4*(k - 250)*(k + 2)
Factor -6*n**5/5 - 22*n**4/5 - 16*n**3/5 + 8*n**2/5.
-2*n**2*(n + 2)**2*(3*n - 1)/5
Factor 5*v**4 + 265*v**3 + 260*v**2.
5*v**2*(v + 1)*(v + 52)
Factor a**4/2 + 734*a**3 + 270111*a**2 + 538022*a + 537289/2.
(a + 1)**2*(a + 733)**2/2
What is k in -4*k**2 + 56*k = 0?
0, 14
Determine v, given that -3*v**4/7 + 11808*v**3/7 - 17428608*v**2/7 + 11433166848*v/7 - 2812559044608/7 = 0.
984
Determine h, given that -2*h**3 + 2*h**2 + 8*h - 8 = 0.
-2, 1, 2
Factor -3*g**3/2 - 144*g**2 - 2808*g - 15552.
-3*(g + 12)**2*(g + 72)/2
Find j, given that -4*j**4/5 - 276*j**3/5 + 3092*j**2/5 - 1068*j + 2528/5 = 0.
-79, 1, 8
Solve -3*t**5/5 - 12*t**4/5 + 6*t**2 + 3*t/5 - 18/5 = 0.
-3, -2, -1, 1
Find d, given that -2*d**2/15 - 18*d/5 = 0.
-27, 0
Factor -x**2/2 + 6*x - 10.
-(x - 10)*(x - 2)/2
Find s such that -98*s**2/15 - 2408*s/15 - 14792/15 = 0.
-86/7
Factor -j**3/6 + 5*j**2/2 - 9*j/2 + 13/6.
-(j - 13)*(j - 1)**2/6
Let -6*w**3 + 119*w**2 - 784*w + 1715 = 0. What is w?
35/6, 7
Factor -v**2 - 1077*v - 2150.
-(v + 2)*(v + 1075)
Solve -7*g**2/6 - 19*g/3 + 4 = 0 for g.
-6, 4/7
Factor -5*w**3 + 30*w**2 + 80*w.
-5*w*(w - 8)*(w + 2)
Suppose 3*g**2/5 + 3240*g + 4374000 = 0. What is g?
-2700
Suppose 3*r**4 - 3*r**3 - 93*r**2 + 3*r + 90 = 0. What is r?
-5, -1, 1, 6
Factor 15*t**3 - 200*t**2 + 55*t + 130.
5*(t - 13)*(t - 1)*(3*t + 2)
Factor 5*f**4 + 90*f**3 - 100*f**2 - 90*f + 95.
5*(f - 1)**2*(f + 1)*(f + 19)
Let -5*c**3 + 45*c**2 + 105*c + 55 = 0. Calculate c.
-1, 11
Solve 2*a**5 - 26*a**4 + 88*a**3 - 64*a**2 = 0 for a.
0, 1, 4, 8
Find s, given that 2*s**4/19 + 14*s**3/19 - 60*s**2/19 + 8*s/19 + 80/19 = 0.
-10, -1, 2
Factor 2*w**2 - 344*w.
2*w*(w - 172)
Let -4*c**2/7 - 212*c/7 + 440/7 = 0. What is c?
-55, 2
Let -49*y**5 - 3458*y**4 - 86188*y**3 - 863896*y**2 - 2756864*y - 2725888 = 0. Calculate y.
-22, -16/7
Factor -5*t**4 + 80*t**3 + 85*t**2.
-5*t**2*(t - 17)*(t + 1)
Factor -b**3/2 + 85*b**2/2 + 225*b.
-b*(b - 90)*(b + 5)/2
Solve -4*a**4 - 95*a**3 - 308*a**2 - 157*a + 60 = 0.
-20, -3, -1, 1/4
Factor -2*h**2 - 300*h.
-2*h*(h + 150)
Factor -5*z**3 + 2745*z**2 - 378120*z + 375380.
-5*(z - 274)**2*(z - 1)
Factor n**2/4 + 541*n/4 + 135.
(n + 1)*(n + 540)/4
Let 3*j**3 - 15*j**2 + 9*j + 27 = 0. What is j?
-1, 3
Find m such that -m**2 - 5*m + 6 = 0.
-6, 1
Determine a so that 2*a**2/11 - 86*a/11 - 816/11 = 0.
-8, 51
Find b such that 2*b**2/9 + 4*b/3 + 10/9 = 0.
-5, -1
Factor -2*c**4 + 18*c**3 - 16*c**2.
-2*c**2*(c - 8)*(c - 1)
Determine l so that -435*l**4 - 455*l**3 - 20*l**2 = 0.
-1, -4/87, 0
Find j, given that -2*j**2/15 - 172*j/5 + 208/3 = 0.
-260, 2
Solve -u**4 - 54*u**3 + 819*u**2 + 1796*u + 924 = 0.
-66, -1, 14
Factor 230639102001*v**4 + 2662500456*v**3 + 11525976*v**2 + 22176*v + 16.
(693*v + 2)**4
Solve -c**4/4 + 3*c**3/2 + 3*c**2/4 - 4*c - 3 = 0.
-1, 2, 6
Factor -3*m**4 - 9*m**3 - 6*m**2.
-3*m**2*(m + 1)*(m + 2)
Find c, given that c**2/6 + 1399*c/6 - 700/3 = 0.
-1400, 1
Factor -2*l**5/17 - 2868*l**4/17 + 676*l**3 - 17248*l**2/17 + 11502*l/17 - 2876/17.
-2*(l - 1)**4*(l + 1438)/17
Let -k**5/5 - 197*k**4/5 - 10714*k**3/5 - 98682*k**2/5 - 33201*k - 77841/5 = 0. Calculate k.
-93, -9, -1
Factor h**4 - 87*h**3 + 418*h**2 - 660*h + 328.
(h - 82)*(h - 2)**2*(h - 1)
Suppose -n**4 - 6*n**3 - 11*n**2 - 6*n = 0. Calculate n.
-3, -2, -1, 0
Let -m**3/7 + 2*m**2 + 365*m/7 - 54 = 0. What is m?
-14, 1, 27
Factor 2*z**4/7 - 234*z**3.
2*z**3*(z - 819)/7
Factor -2*r**5/7 - 2*r**4 - 24*r**3/7.
-2*r**3*(r + 3)*(r + 4)/7
Factor 3*s**2/5 - 2232*s/5 - 8976/5.
3*(s - 748)*(s + 4)/5
Find x, given that 4*x**5 - 16*x**4 + 12*x**3 + 16*x**2 - 16*x = 0.
-1, 0, 1, 2
Find a such that -2*a**4/5 - 12*a**3/5 + 6*a**2/5 + 8*a + 24/5 = 0.
-6, -1, 2
Find b, given that -b**4/4 - 3*b**3 + 29*b**2/4 + 3*b - 7 = 0.
-14, -1, 1, 2
Factor -l**4/8 + 31*l**3/8 + 4*l**2.
-l**2*(l - 32)*(l + 1)/8
Let k**5/2 - 11*k**4 + 59*k**3 + 34*k**2 - 407*k/2 + 121 = 0. Calculate k.
-2, 1, 11
Factor -v**4/4 - 15*v**3/4 - 47*v**2/4 + 63*v/4.
-v*(v - 1)*(v + 7)*(v + 9)/4
What is o in -5*o**2/4 + 1205*o/2 - 290405/4 = 0?
241
Let -3*h**3 - 78*h**2 - 69*h + 150 = 0. What is h?
-25, -2, 1
What is u in 3*u**2/2 + 75*u - 153/2 = 0?
-51, 1
Determine p so that 9*p**2/7 - 750*p/7 - 72 = 0.
-2/3, 84
Determine f so that -4*f**2 - 4236*f = 0.
-1059, 0
Determine g, given that -g**2/3 + 2*g - 3 = 0.
3
Suppose -20*a**5 - 5*a**4 + 20*a**3 + 5*a**2 = 0. Calculate a.
-1, -1/4, 0, 1
Factor -4*h**3 - 16*h**2 + 36*h + 144.
-4*(h - 3)*(h + 3)*(h + 4)
Factor -27*t**4 + 13365*t**3 + 13383*t**2 + 4463*t + 496.
-(t - 496)*(3*t + 1)**3
Solve -3*c**4 - 705*c**3 - 3474*c**2 - 5532*c - 2760 = 0 for c.
-230, -2, -1
What is y in -6*y**4/5 - 4*y**3/5 + 24*y**2/5 + 16*y/5 = 0?
-2, -2/3, 0, 2
Factor -2*f**2 - 224*f + 226.
-2*(f - 1)*(f + 113)
Solve -2*b**3/15 + 214*b**2/15 - 1028*b/15 + 272/5 = 0 for b.
1, 4, 102
Factor -2*o**5/5 + 3928*o**4/5 - 1932572*o**3/5 + 3853368*o**2/5 - 1924722*o/5.
-2*o*(o - 981)**2*(o - 1)**2/5
Suppose j**3/5 - 3*j**2/5 - 6*j/5 + 8/5 = 0. Calculate j.
-2, 1, 4
Factor g**2 + 18*g + 17.
(g + 1)*(g + 17)
Factor 5*c**2 - 1455*c + 1450.
5*(c - 290)*(c - 1)
Suppose -8*s**5/5 + 24*s**4/5 - 26*s**3/5 + 12*s**2/5 - 2*s/5 = 0. What is s?
0, 1/2, 1
Find z, given that 6*z**5 + 112*z**4 + 1946*z**3/3 + 1164*z**2 + 576*z + 256/3 = 0.
-8, -2, -1/3
Suppose 5*u**2 - 52*u + 128 = 0. Calculate u.
4, 32/5
De