 48*l**2.
4*l**2*(l - 6)*(l + 2)
Find u such that -u**2/5 + 184*u/5 = 0.
0, 184
Factor s**5/4 + 21*s**4 + 588*s**3 + 5488*s**2.
s**2*(s + 28)**3/4
Factor 3*m**3 - 87*m**2 + 552*m - 1008.
3*(m - 21)*(m - 4)**2
Factor -2*a**4/11 + 24*a**3/11 - 96*a**2/11 + 160*a/11 - 96/11.
-2*(a - 6)*(a - 2)**3/11
Factor 3*c**4/4 + 723*c**3 + 522729*c**2/2 + 41992563*c + 10120207683/4.
3*(c + 241)**4/4
Suppose 2*l**5/11 - 16*l**4/11 - 10*l**3/11 + 168*l**2/11 = 0. What is l?
-3, 0, 4, 7
Factor -2*x**4 + 295*x**3/2 - 2701*x**2 - 1369*x/2.
-x*(x - 37)**2*(4*x + 1)/2
Factor 2*q**2/9 + 164*q/9 + 18.
2*(q + 1)*(q + 81)/9
What is k in -k**2/3 + 43*k/3 = 0?
0, 43
Suppose -c**3/5 + 103*c**2/5 = 0. Calculate c.
0, 103
Determine j so that j**3 - 2201*j**2 + 1209999*j + 1212201 = 0.
-1, 1101
Factor -3*o**2 - 13*o - 14.
-(o + 2)*(3*o + 7)
What is q in -3*q**3 + 18*q**2 + 21*q = 0?
-1, 0, 7
Suppose -10*y**5/3 + 1088*y**4/3 - 12742*y**3/3 + 14616*y**2 - 8424*y - 2304 = 0. What is y?
-1/5, 1, 6, 96
Determine z, given that -z**2/10 + 412*z/5 - 84872/5 = 0.
412
Suppose -v**3/2 + v**2/2 + 2*v - 2 = 0. What is v?
-2, 1, 2
Factor -2*s**5 - 18*s**4 - 30*s**3 - 14*s**2.
-2*s**2*(s + 1)**2*(s + 7)
What is n in -n**2 + 6*n = 0?
0, 6
Factor -4*n**5 - 56*n**4 - 240*n**3 - 200*n**2 + 500*n.
-4*n*(n - 1)*(n + 5)**3
Determine m so that -135*m**2/4 - 37*m/2 - 2 = 0.
-2/5, -4/27
Let -14*j**5/15 - 62*j**4/15 - 6*j**3/5 + 214*j**2/15 + 304*j/15 + 8 = 0. Calculate j.
-3, -10/7, -1, 2
Determine c, given that c**3 + 12*c**2 - 19*c - 78 = 0.
-13, -2, 3
Factor -4*t**3/5 + 304*t**2/5 - 1132*t/5 - 288.
-4*(t - 72)*(t - 5)*(t + 1)/5
Factor d**2 - 11*d + 30.
(d - 6)*(d - 5)
Factor 3*u**3/7 - 9*u**2/7 - 12*u/7.
3*u*(u - 4)*(u + 1)/7
Let 2*t**4/5 + 286*t**3/15 + 182*t**2/15 - 286*t/15 - 188/15 = 0. Calculate t.
-47, -1, -2/3, 1
Factor -3*d**4 + 102*d**3 + 327*d**2 + 222*d.
-3*d*(d - 37)*(d + 1)*(d + 2)
Factor 4*o**4/3 - 1306*o**3/9 + 4008*o**2 - 3240*o.
2*o*(o - 54)**2*(6*o - 5)/9
Find t such that -3*t**4 + 3*t**3 + 27*t**2 - 27*t = 0.
-3, 0, 1, 3
Determine v, given that 3*v**2 + 981*v + 978 = 0.
-326, -1
Solve -3*h**3 + 846*h**2 - 60480*h + 117600 = 0 for h.
2, 140
Factor 2*r**3 + 44*r**2/5.
2*r**2*(5*r + 22)/5
Let 4*g**4/5 + 609*g**3/5 + 22636*g**2/5 - 41811*g/5 - 11858/5 = 0. Calculate g.
-77, -1/4, 2
What is n in -18*n**5/19 + 16*n**4/19 + 20*n**3/19 - 16*n**2/19 - 2*n/19 = 0?
-1, -1/9, 0, 1
Let 3*m**5 - 441*m**4 - 447*m**3 + 441*m**2 + 444*m = 0. Calculate m.
-1, 0, 1, 148
Factor 5*b**2 - 11800*b + 6962000.
5*(b - 1180)**2
Solve -1125*t**3/4 - 2175*t**2 + 595*t - 40 = 0.
-8, 2/15
Find q such that -3*q**4/5 - 26676*q**3/5 - 88951122*q**2/5 - 131825562804*q/5 - 73262056528323/5 = 0.
-2223
Suppose 3*c**4/2 + 48*c**3 - 747*c**2 - 18096*c + 426387/2 = 0. Calculate c.
-29, 13
Solve d**2/5 + 1002*d/5 - 1003/5 = 0 for d.
-1003, 1
Let 2*p**3/15 + 20*p**2/3 + 224*p/5 = 0. Calculate p.
-42, -8, 0
Determine l so that 64*l**3 - 2400*l**2 - 1212*l - 152 = 0.
-1/4, 38
Factor c**2/2 - 45*c/2 - 23.
(c - 46)*(c + 1)/2
Determine r so that -3*r**2 - 21*r - 36 = 0.
-4, -3
Determine n so that 2*n**4 - 14*n**3 + 28*n**2 - 16*n = 0.
0, 1, 2, 4
Factor 2*w**3 + 86*w**2 + 880*w - 968.
2*(w - 1)*(w + 22)**2
Solve 3*j**3 - 672*j**2 = 0 for j.
0, 224
Let 2*f**3 + 384*f**2 = 0. Calculate f.
-192, 0
Solve -8*z**5/17 - 1566*z**4/17 - 67912*z**3/17 + 883924*z**2/17 + 716880*z/17 - 233398/17 = 0.
-103, -1, 1/4, 11
Factor 3*f**4 - 330*f**3 + 8736*f**2 + 18816*f.
3*f*(f - 56)**2*(f + 2)
Solve 12*q**4 + 202*q**3 - 748*q**2/3 + 440*q/9 + 16 = 0.
-18, -1/6, 2/3
Factor -4*m**3 + 12*m**2 - 12*m + 4.
-4*(m - 1)**3
Factor -32*o**3 + 76*o**2 + 80*o - 208.
-4*(o - 2)**2*(8*o + 13)
What is a in -9*a**5 - 249*a**4 + 615*a**3 - 447*a**2 + 90*a = 0?
-30, 0, 1/3, 1
Factor g**3/6 - 35*g**2/6 + 275*g/6 - 625/6.
(g - 25)*(g - 5)**2/6
Determine p so that -p**3 + 354*p**2 - 31680*p + 61952 = 0.
2, 176
Factor -v**4/2 - 3*v**3/2 + 2*v.
-v*(v - 1)*(v + 2)**2/2
Factor n**2 - 82*n + 1681.
(n - 41)**2
Solve 6*m**3/5 + 586*m**2/5 + 2842*m - 4802/5 = 0.
-49, 1/3
Solve -21*q**5/8 - 27*q**4/8 + 9*q**3/2 + 3*q**2/2 = 0 for q.
-2, -2/7, 0, 1
Solve n**2/4 - 7*n/4 + 3/2 = 0.
1, 6
Suppose 4*p**4 + 76*p**3 + 396*p**2 + 756*p + 432 = 0. Calculate p.
-12, -3, -1
Determine m so that 3*m**3 - 1107*m**2 + 136161*m - 5582601 = 0.
123
Let 4*t**2 + 4*t - 224 = 0. Calculate t.
-8, 7
Find u such that u**2/2 + 475*u + 225625/2 = 0.
-475
Factor 5*w**4 - 5*w**3 - 65*w**2 + 125*w - 60.
5*(w - 3)*(w - 1)**2*(w + 4)
Suppose 86*x**4/3 + 772*x**3/3 + 424*x**2 - 2180*x/3 + 50/3 = 0. What is x?
-5, 1/43, 1
Determine t, given that 14*t**3 - 198*t**2 + 490*t - 66 = 0.
1/7, 3, 11
Factor -5*s**3 + 235*s**2 - 2875*s + 2645.
-5*(s - 23)**2*(s - 1)
Let -5*h**4 - 1590*h**3 + 3195*h**2 - 1600*h = 0. What is h?
-320, 0, 1
Factor -66*m**2/5 + 6*m + 36/5.
-6*(m - 1)*(11*m + 6)/5
Factor -i**3/8 + 2*i**2 - 71*i/8 + 7.
-(i - 8)*(i - 7)*(i - 1)/8
Solve u**3 - 1227*u**2 + 501843*u - 68417929 = 0 for u.
409
Solve 3*h**5/2 + 389*h**4/2 - 133*h**3/2 - 389*h**2/2 + 65*h = 0 for h.
-130, -1, 0, 1/3, 1
Determine w, given that 2*w**5 + 48*w**4 + 166*w**3 + 120*w**2 = 0.
-20, -3, -1, 0
Determine b so that 3*b**5/4 + 18*b**4 + 15*b**3 - 111*b**2/2 - 351*b/4 - 69/2 = 0.
-23, -1, 2
What is r in 3*r**2 - 81*r - 270 = 0?
-3, 30
Factor -c**4/3 + 187*c**3/3 - 9191*c**2/3 + 41405*c/3.
-c*(c - 91)**2*(c - 5)/3
Factor -25*n**3 + 226*n**2 - 459*n + 18.
-(n - 6)*(n - 3)*(25*n - 1)
Factor -2*i**3 - 2*i**2 + 40*i.
-2*i*(i - 4)*(i + 5)
Factor -24*i**2/7 - 27*i/7 - 3/7.
-3*(i + 1)*(8*i + 1)/7
Determine c, given that 3*c**2 = 0.
0
Factor q**4 + 336*q**3 + 28224*q**2.
q**2*(q + 168)**2
Let -2*l**3/3 + 100*l**2 - 198*l + 296/3 = 0. Calculate l.
1, 148
Determine a so that -3*a**3/2 - 210*a**2 + 423*a/2 = 0.
-141, 0, 1
Solve -5*l**2 + 1855*l + 13230 = 0.
-7, 378
Let -2*t**4/3 + 484*t**3/3 + 984*t**2 + 5936*t/3 + 3968/3 = 0. What is t?
-2, 248
Determine q so that -q**4/7 + 1424*q**3/7 - 675450*q**2/7 + 106495000*q/7 + 107171875/7 = 0.
-1, 475
Factor o**4 + o**3 - 7*o**2 - 13*o - 6.
(o - 3)*(o + 1)**2*(o + 2)
What is d in -4*d**2 + 308*d = 0?
0, 77
Determine z so that z**2 + 163*z + 162 = 0.
-162, -1
Let -5*d**5 + 15*d**4 + 50*d**3 + 10*d**2 - 45*d - 25 = 0. What is d?
-1, 1, 5
Let 2*s**4/21 + 548*s**3/21 - 1102*s**2/21 + 184*s/7 = 0. What is s?
-276, 0, 1
Factor 3*i**3 - 909*i**2 + 91809*i - 3090903.
3*(i - 101)**3
Let 5*w**2 - 465*w + 460 = 0. What is w?
1, 92
Factor 2*q**4/5 + 2*q**3 + 8*q**2/5.
2*q**2*(q + 1)*(q + 4)/5
Find p, given that 4*p**2 + 340*p + 336 = 0.
-84, -1
Let -3*k**5 - 1269*k**4 - 5043*k**3 - 6291*k**2 - 2514*k = 0. What is k?
-419, -2, -1, 0
Factor -11*u**2 + 13*u - 2.
-(u - 1)*(11*u - 2)
Solve 2*g**4/11 + 164*g**3/11 + 4682*g**2/11 + 4920*g + 19800 = 0 for g.
-30, -11
Factor 4*x**2/3 + 2396*x/3 + 1592.
4*(x + 2)*(x + 597)/3
Solve 12*m**3 + 14132*m**2 + 4158340*m - 1387684 = 0 for m.
-589, 1/3
Factor 4*r**2 + 148*r - 480.
4*(r - 3)*(r + 40)
Solve -4*c**2 - 20*c + 56 = 0 for c.
-7, 2
Factor -x**4 + 17*x**3 - 30*x**2.
-x**2*(x - 15)*(x - 2)
Let 3*x**2 - 69*x + 306 = 0. What is x?
6, 17
Solve -p**5/2 + 703*p**4/2 + 3*p**3 - 2105*p**2 - 5621*p/2 - 2109/2 = 0.
-1, 3, 703
Solve -4*o**4 + 256*o**3 - 5340*o**2 + 39728*o - 94640 = 0 for o.
5, 7, 26
Factor 4*a**3 - 3024*a**2 + 12048*a - 12032.
4*(a - 752)*(a - 2)**2
Find g, given that 2*g**2/5 - 406*g/5 - 408/5 = 0.
-1, 204
Solve 2*k**4/17 + 980*k**3/17 + 121024*k**2/17 + 238144*k/17 = 0 for k.
-244, -2, 0
Determine i, given that 21*i**3 + 405*i**2 + 1374*i + 360 = 0.
-15, -4, -2/7
Factor s**2/2 - 23*s/2 + 45.
(s - 18)*(s - 5)/2
What is p in -2*p**2 - 62*p = 0?
-31, 0
Factor -2*b**2 - 16*b + 210.
-2*(b - 7)*(b + 15)
Find k such that 3*k**4 - 42*k**3 + 180*k**2 - 150*k - 375 = 0.
-1, 5
Find s, given that -5*s**3/7 + 13*s**2/7 - 4*s/7 - 4/7 = 0.
-2/5, 1, 2
Factor -4*h**3/7 + 368*h**2/7 - 8084*h/7 - 17672/7.
-4*(h - 47)**2*(h + 2)/7
Determine i, given that 5*i**3 - 710*i**2 + 23725*i + 106580 = 0.
-4, 73
Factor -3*t**2/5 + 96*t/5 - 153.
-3*(t - 17)*(t - 15)/5
Suppose 24*o**2/7 - 78*o/7 + 18/7 = 0. What is o?
1/4, 3
Factor p**4/2 - 7*p**3 + 12*p**2.
p**2*(p - 12)*(p - 2)/2
Let -2*h**2/3 - 38*h/3 + 1444/3 = 0. What is h?
-38, 19
Determine m so that -4*m**2 + 3260*m - 6504 = 0