*3/2 - 124*y**2 - 15621*y/2 - 15129 = 0.
-123, -2
Suppose -21*c**2 + 225*c + 66 = 0. Calculate c.
-2/7, 11
Factor 2*j**2/5 - 5614*j/15 - 624/5.
2*(j - 936)*(3*j + 1)/15
Suppose p**3/4 + p**2/4 - 35*p + 147 = 0. Calculate p.
-14, 6, 7
Let 2*w**5 + 640*w**4 + 67400*w**3 + 2242080*w**2 - 9797760*w + 10077696 = 0. What is w?
-108, 2
Factor 2*j**2/7 - 102*j - 716/7.
2*(j - 358)*(j + 1)/7
Factor -2*y**2/3 + 1636*y/3 - 1630.
-2*(y - 815)*(y - 3)/3
Factor -5*s**3 + 20*s**2 + 385*s.
-5*s*(s - 11)*(s + 7)
Solve -3*x**3/8 - 437*x**2 - 1017335*x/8 + 339889/4 = 0 for x.
-583, 2/3
Factor 2*c**5/7 - 578*c**4/7 + 40886*c**3/7 + 126146*c**2/7 + 127312*c/7 + 42632/7.
2*(c - 146)**2*(c + 1)**3/7
Factor -166*s**2/9 + s/3.
-s*(166*s - 3)/9
Let -2*r**2/15 + 1534*r/15 + 512/5 = 0. What is r?
-1, 768
Factor 3*y**3 + 195*y**2 + 918*y + 1080.
3*(y + 2)*(y + 3)*(y + 60)
Factor -5*n**2/2 - 13*n/4 - 3/4.
-(n + 1)*(10*n + 3)/4
Suppose 21*s**3/4 - 169*s**2/4 - 331*s - 91 = 0. Calculate s.
-14/3, -2/7, 13
What is j in j**3/2 - 50*j**2 + 1411*j/2 = 0?
0, 17, 83
Factor -4*q**2 - 296*q/3 + 100/3.
-4*(q + 25)*(3*q - 1)/3
Factor -4*b**3 - 326*b**2 + 166*b + 164.
-2*(b - 1)*(b + 82)*(2*b + 1)
Let 2*y**3/3 + 52*y**2/3 - 110*y/3 + 56/3 = 0. What is y?
-28, 1
Let 36*i**2 - 3376*i - 752 = 0. Calculate i.
-2/9, 94
Determine r, given that -2*r**2/5 + 20516*r/5 - 52613282/5 = 0.
5129
Factor -3*l**2/4 + 3*l/2 + 9/4.
-3*(l - 3)*(l + 1)/4
Solve -2*l**5 - 12*l**4 + 60*l**3 + 400*l**2 + 582*l + 252 = 0.
-7, -3, -1, 6
Determine v so that -4*v**5 - 12*v**4 + 16*v**3 = 0.
-4, 0, 1
Factor k**2/5 - 13*k/5 + 6.
(k - 10)*(k - 3)/5
Suppose 3*v**4/7 + 66*v**3/7 + 216*v**2/7 = 0. Calculate v.
-18, -4, 0
Let 3*q**3/7 + 333*q**2/7 + 2214*q/7 + 3120/7 = 0. Calculate q.
-104, -5, -2
Factor -100*f**3 + 24*f**2.
-4*f**2*(25*f - 6)
Let -x**4/5 - 37*x**3/5 - 198*x**2/5 - 76*x - 248/5 = 0. Calculate x.
-31, -2
Factor 2*x**2 + 5296*x + 3505952.
2*(x + 1324)**2
Determine z, given that -5*z**3 - 575*z**2 - 5250*z = 0.
-105, -10, 0
Factor -4*c**2 - 484*c + 1488.
-4*(c - 3)*(c + 124)
Factor -5*t**3 - 55*t**2.
-5*t**2*(t + 11)
Determine t, given that 2*t**5 - 14*t**4 - 36*t**3 - 4*t**2 + 34*t + 18 = 0.
-1, 1, 9
Factor 4*g**4 + 116*g**3 + 480*g**2.
4*g**2*(g + 5)*(g + 24)
Let l**3 - 57*l**2 + 110*l = 0. What is l?
0, 2, 55
Suppose -27*f**4/4 - 111*f**3/2 - 615*f**2/4 - 153*f - 27 = 0. What is f?
-3, -2, -2/9
Factor -2*b**2/9 + 33008*b/9 - 136191008/9.
-2*(b - 8252)**2/9
Factor -2*l**4/7 - 4*l**3/7 + 2*l**2/7 + 4*l/7.
-2*l*(l - 1)*(l + 1)*(l + 2)/7
Factor -p**4 + 6*p**3 + 8*p**2 - 6*p - 7.
-(p - 7)*(p - 1)*(p + 1)**2
Suppose -7*a**2/2 - 6*a + 2 = 0. Calculate a.
-2, 2/7
Suppose -5*b**4 + 1240*b**3 - 79315*b**2 + 301340*b - 223260 = 0. What is b?
1, 3, 122
Let 35*d**5 - 1705*d**4 - 490*d**3 = 0. What is d?
-2/7, 0, 49
Suppose -d**3/3 - 673*d**2/3 - 112895*d/3 + 113569/3 = 0. What is d?
-337, 1
Let 4*w**4 + 8*w**3 - 32*w**2 = 0. Calculate w.
-4, 0, 2
What is x in -5*x**5 - 50*x**4 - 170*x**3 - 260*x**2 - 185*x - 50 = 0?
-5, -2, -1
Solve -2*v**5/3 + 154*v**4/3 - 962*v**3 - 1014*v**2 = 0 for v.
-1, 0, 39
Find x such that -4*x**3 - 20*x**2 + 4*x + 20 = 0.
-5, -1, 1
Solve 5*c**2 - 35*c + 50 = 0 for c.
2, 5
Factor -2*r**3/3 + 2*r**2 + 8*r/3.
-2*r*(r - 4)*(r + 1)/3
Factor -4*v**5 - 60*v**4 - 296*v**3 - 440*v**2 + 300*v + 500.
-4*(v - 1)*(v + 1)*(v + 5)**3
Factor -3*m**3/2 + 2745*m**2/2 + 5499*m/2 + 2751/2.
-3*(m - 917)*(m + 1)**2/2
Find f, given that 9*f**5 + 318*f**4 - 894*f**3 + 684*f**2 - 3*f - 114 = 0.
-38, -1/3, 1
Factor -15*t**3 - 39*t**2 + 54*t.
-3*t*(t - 1)*(5*t + 18)
Factor 2*g**2 - 32.
2*(g - 4)*(g + 4)
Let -14*d**5 - 718*d**4 - 10706*d**3 - 15314*d**2 + 436088*d - 713336 = 0. What is d?
-19, 2, 26/7
Factor 2*d**5 - 6*d**4 - 68*d**3 - 104*d**2 + 48*d + 128.
2*(d - 8)*(d - 1)*(d + 2)**3
Suppose -22*i**2/3 + 360*i - 98/3 = 0. Calculate i.
1/11, 49
Let 3447*b**2 - 3453*b + 6 = 0. Calculate b.
2/1149, 1
Solve -j**2 - 125*j - 124 = 0 for j.
-124, -1
Let -5*n**3/3 + 200*n**2/3 + 205*n/3 = 0. Calculate n.
-1, 0, 41
Factor 2*z**3/3 - 388*z**2/3 + 1670*z + 1800.
2*(z - 180)*(z - 15)*(z + 1)/3
Factor 5*w**2 - 8030*w + 3224045.
5*(w - 803)**2
Let -4*i**3 + 108*i**2 - 384*i + 368 = 0. What is i?
2, 23
Suppose -j**3/3 + 239*j**2/3 - 4720*j - 4800 = 0. Calculate j.
-1, 120
Factor 2*r**3/5 + 36*r**2 + 810*r.
2*r*(r + 45)**2/5
Factor -3*i**2 + 378*i - 11907.
-3*(i - 63)**2
Determine u so that 5*u**5 - 785*u**4 - 4035*u**3 - 2455*u**2 + 4030*u + 3240 = 0.
-4, -1, 1, 162
Factor c**4/2 + 12*c**3 + 77*c**2/2 - 39*c - 180.
(c - 2)*(c + 3)**2*(c + 20)/2
Let 50*s**2 - 105*s + 10 = 0. What is s?
1/10, 2
Suppose 4*m**3 - 36*m**2 - 4*m + 36 = 0. What is m?
-1, 1, 9
Suppose 4*h**4 - 28*h**3 = 0. Calculate h.
0, 7
Let 3*r**5/4 + 77*r**4/8 + 95*r**3/4 - 105*r**2/2 - 49*r/2 + 343/8 = 0. What is r?
-7, -1, 1, 7/6
Find k, given that k**3/2 - 45*k**2 + 347*k/2 - 129 = 0.
1, 3, 86
Suppose 2*g**2/21 - 4*g/7 + 16/21 = 0. Calculate g.
2, 4
What is b in 20*b**3 - 884*b**2 + 9856*b - 1936 = 0?
1/5, 22
Factor -l**3/3 + l**2/3 + 4*l/3 - 4/3.
-(l - 2)*(l - 1)*(l + 2)/3
Solve 4*b**4/5 - 8*b**3/5 - 128*b**2/5 - 24*b + 252/5 = 0 for b.
-3, 1, 7
Determine b, given that b**2/6 + 13*b/6 - 5 = 0.
-15, 2
Find n such that 2*n**2/7 + 144*n + 2008/7 = 0.
-502, -2
Factor t**3 - 459*t**2 - 1849*t - 1389.
(t - 463)*(t + 1)*(t + 3)
What is q in -5*q**3 + 2155*q**2 + 4325*q + 2165 = 0?
-1, 433
Factor k**2/2 - k - 3/2.
(k - 3)*(k + 1)/2
Factor s**2 + 156*s + 6084.
(s + 78)**2
Determine h so that -2*h**2/25 - 104*h/25 + 216/25 = 0.
-54, 2
Suppose 5*f**3 + 485*f**2 + 11515*f - 12005 = 0. What is f?
-49, 1
Suppose 4*n**3 + 840*n**2 + 58800*n + 1372000 = 0. What is n?
-70
Factor 5*s**3 - 2058*s**2 + 1231*s + 822.
(s - 411)*(s - 1)*(5*s + 2)
Solve -2*n**2/15 + 94*n/15 - 12 = 0 for n.
2, 45
Factor -c**2/4 + 135*c/4 - 131.
-(c - 131)*(c - 4)/4
Factor 32*l**5/7 - 144*l**4/7 + 258*l**3/7 - 230*l**2/7 + 102*l/7 - 18/7.
2*(l - 1)**3*(4*l - 3)**2/7
Let -3*c**4 - 54*c**3 - 189*c**2 + 366*c + 504 = 0. Calculate c.
-12, -7, -1, 2
Solve 1587*w**3/7 - 1863*w**2/7 + 288*w/7 - 12/7 = 0.
2/23, 1
Factor -u**3 + 12*u**2 - 41*u + 30.
-(u - 6)*(u - 5)*(u - 1)
Find k, given that -3*k**2 - 558*k - 25947 = 0.
-93
Solve -4*q**4/3 + 1552*q**3/3 - 50696*q**2 + 299536*q/3 - 148996/3 = 0 for q.
1, 193
Let -65*z**4 - 140*z**3 + 45*z**2 + 140*z + 20 = 0. Calculate z.
-2, -1, -2/13, 1
Determine s so that -s**2 + 15*s = 0.
0, 15
Let -2*s**5/11 - 138*s**4/11 - 646*s**3/11 - 366*s**2/11 + 1152*s/11 = 0. What is s?
-64, -3, 0, 1
Factor -5*s**3 + 5*s**2.
-5*s**2*(s - 1)
Factor r**2/3 + 504*r + 190512.
(r + 756)**2/3
Suppose -y**3 - 8*y**2 + 4*y + 32 = 0. What is y?
-8, -2, 2
Determine h, given that -5*h**3 - 40*h**2 - 35*h = 0.
-7, -1, 0
Factor w**4/5 + 4*w**3/5 - 92*w**2/5 - 192*w/5 + 2304/5.
(w - 6)**2*(w + 8)**2/5
What is k in -2*k**3 - 202*k**2/3 + 68*k/3 = 0?
-34, 0, 1/3
Factor -i**2/5 - i/5 + 42/5.
-(i - 6)*(i + 7)/5
Factor -4*o**4 - 140*o**3 + 292*o**2 - 148*o.
-4*o*(o - 1)**2*(o + 37)
Let g**2/4 - 9*g - 117/4 = 0. Calculate g.
-3, 39
Find u, given that -2*u**5/11 + 24*u**4/11 - 58*u**3/11 + 36*u**2/11 = 0.
0, 1, 2, 9
Factor h**3/4 - 33*h**2/2 - 34*h.
h*(h - 68)*(h + 2)/4
Find w such that -4*w**5 - 74*w**4 - 282*w**3 + 560*w**2 - 200*w = 0.
-10, 0, 1/2, 1
Suppose -n**4/3 + 9*n**3 + 113*n**2 + 1117*n/3 + 370 = 0. What is n?
-5, -3, -2, 37
Let w**2/4 - 59*w/4 - 93/2 = 0. What is w?
-3, 62
Solve -v**2/3 - 835*v/3 = 0.
-835, 0
Determine c, given that 21*c**2/4 + 53*c/4 - 15/2 = 0.
-3, 10/21
Factor 10*i**3 - 35*i**2 - 20*i.
5*i*(i - 4)*(2*i + 1)
Suppose -2*n**3 - 10*n**2 - 4*n + 16 = 0. What is n?
-4, -2, 1
Factor -14*t**4/13 - 32*t**3/13 - 22*t**2/13 - 4*t/13.
-2*t*(t + 1)**2*(7*t + 2)/13
Suppose d**4 + 93*d**3 + 2784*d**2 + 23552*d - 98304 = 0. Calculate d.
-32, 3
Find q, given that 4*q**4 - 61*q**3 + 119*q**2 - 26*q = 0.
0, 1/4, 2, 13
Find t, given that 2*t**2/3 + 22064*t/3 + 60852512/3 = 0.
-5516
Factor 3*f**4 + 3*f**3 - 9*f**2 - 3*f + 6.
3*(f - 1)**2*(f + 1)*(f + 2)
Suppose -3*c**2/2 + 414*c - 28566 = 0. What is c?
138
Factor -12*w**3 - 225*w**2 - 519*w + 144.
-3*(w + 3)*(w + 16)*(4*w - 1)
Factor 3*j**2 - 942*j + 73947.
3*(j - 157)**2
Factor o**4/4 + 681*o**3/4 + 116957*o**2/4 + 346119*o/4 + 114921/2.
