 -2*a**2/5 + 626*a/5 - 624/5 = 0.
1, 312
Determine p, given that -4*p**5 + 334*p**4 - 490*p**3 - 170*p**2 + 494*p - 164 = 0.
-1, 1/2, 1, 82
Factor -3*n**4 - 120*n**3 + 792*n**2 - 1632*n + 1104.
-3*(n - 2)**3*(n + 46)
Determine o so that 140*o**4 - 3264*o**3 + 932*o**2 + 1824*o + 368 = 0.
-2/5, -2/7, 1, 23
Suppose 2*w**4/13 - 30*w**3/13 + 106*w**2/13 - 42*w/13 - 180/13 = 0. Calculate w.
-1, 3, 10
Find c such that 5*c**3 + 35*c**2 - 90*c = 0.
-9, 0, 2
Determine i so that 2*i**5 - 1766*i**4 + 385392*i**3 + 1971360*i**2 = 0.
-5, 0, 444
Factor 76*r**3 + 16*r**2.
4*r**2*(19*r + 4)
Solve 80*n**4 + 760*n**3 + 325*n**2 - 310*n + 45 = 0 for n.
-9, -1, 1/4
Factor -3*p**3 + 135*p**2 - 1584*p + 1452.
-3*(p - 22)**2*(p - 1)
Solve -h**3 - 6*h**2 + 9*h + 54 = 0.
-6, -3, 3
Factor -5*r**4 - 3060*r**3 - 9150*r**2 - 9140*r - 3045.
-5*(r + 1)**3*(r + 609)
What is o in -9*o**5/7 - 2*o**4 + 55*o**3/7 - 32*o**2/7 = 0?
-32/9, 0, 1
Factor -4*m**2 + 7320*m + 7324.
-4*(m - 1831)*(m + 1)
Find n, given that 2*n**4/13 - 46*n**3/13 - 158*n**2/13 + 46*n/13 + 12 = 0.
-3, -1, 1, 26
Find s, given that -4*s**4/13 + 90*s**3/13 + 48*s**2/13 - 46*s/13 = 0.
-1, 0, 1/2, 23
Factor -2*d**3/15 - 14*d**2/15 - 8*d/15 + 8/5.
-2*(d - 1)*(d + 2)*(d + 6)/15
Factor -a**3 + 121*a**2 - 3339*a - 19845.
-(a - 63)**2*(a + 5)
Factor 2*x**3 - 42*x**2 - 308*x - 432.
2*(x - 27)*(x + 2)*(x + 4)
Find u such that 5*u**4 + 45*u**3 - 905*u**2 + 855*u = 0.
-19, 0, 1, 9
Factor -2*y**3/9 - 22*y**2/9 + 28*y/3.
-2*y*(y - 3)*(y + 14)/9
Determine i so that 2*i**4/7 - 14*i**3 + 114*i**2 - 702*i/7 = 0.
0, 1, 9, 39
Let 3*p**2 + 33*p - 78 = 0. What is p?
-13, 2
Determine t so that -t**3/6 + 163*t**2/6 = 0.
0, 163
Suppose 16*h**5/5 + 276*h**4/5 - 168*h**3 + 788*h**2/5 - 48*h = 0. Calculate h.
-20, 0, 3/4, 1
Solve -2*g**2/9 + 68*g/9 + 208 = 0 for g.
-18, 52
Factor -32*z**3/9 - 16*z**2/3 + 10*z/3 - 4/9.
-2*(z + 2)*(4*z - 1)**2/9
Find s, given that -85*s**4 - 165*s**3 + 10*s**2 = 0.
-2, 0, 1/17
Determine y, given that 5*y**3 - 65*y**2 - 1105*y - 1035 = 0.
-9, -1, 23
Factor -k**3/2 + 30*k**2 + 123*k/2 + 31.
-(k - 62)*(k + 1)**2/2
Factor v**4/4 + 5*v**3/2 - 163*v**2/4 - 88*v - 45.
(v - 10)*(v + 1)**2*(v + 18)/4
Factor 2*n**2 + 944*n + 111392.
2*(n + 236)**2
Solve -2*q**2/15 + 104*q/15 - 74 = 0 for q.
15, 37
Factor -f**3/2 + 2*f**2 + 45*f/2.
-f*(f - 9)*(f + 5)/2
Factor -5*t**4 - 85*t**3 - 220*t**2 - 140*t.
-5*t*(t + 1)*(t + 2)*(t + 14)
Suppose 12*r**3 - 34*r**2 + 18*r + 4 = 0. What is r?
-1/6, 1, 2
Let -5*m**3 + 40*m**2/3 - 5*m - 10/3 = 0. What is m?
-1/3, 1, 2
Solve 4*x**5 - 232*x**4 + 448*x**3 + 8*x**2 - 452*x + 224 = 0 for x.
-1, 1, 56
Suppose -2*w**2/9 + 134*w/9 + 136/9 = 0. Calculate w.
-1, 68
Factor 3*u**2/2 - 129*u/2 + 663.
3*(u - 26)*(u - 17)/2
Let 2*j**2 - 31036*j + 120404162 = 0. What is j?
7759
Factor -22*h**2 + 128*h + 24.
-2*(h - 6)*(11*h + 2)
Solve -u**3 - 5*u**2 - 4*u = 0.
-4, -1, 0
Factor 2*j**3/9 - 44*j**2/9 + 322*j/9 - 784/9.
2*(j - 8)*(j - 7)**2/9
Solve 2*i**5 - 16*i**4/3 - 24*i**3 - 4*i**2/3 + 22*i + 20/3 = 0.
-2, -1, -1/3, 1, 5
Find f such that -9*f**5 + 51*f**4 + 233*f**3 + 313*f**2 + 176*f + 36 = 0.
-1, -2/3, 9
Find p, given that -p**2 - p + 2 = 0.
-2, 1
Let -24*n**4/5 - 2*n**3 + 452*n**2/5 - 112*n/5 = 0. What is n?
-14/3, 0, 1/4, 4
Solve 2*u**3 + 36*u**2 - 78*u + 40 = 0 for u.
-20, 1
Factor -2*s**2 + 11248*s - 15814688.
-2*(s - 2812)**2
Suppose 5*k**5 - 25*k**4 + 35*k**3 + 5*k**2 - 40*k + 20 = 0. What is k?
-1, 1, 2
Factor 4*y**5 + 4*y**4 - 8*y**3.
4*y**3*(y - 1)*(y + 2)
Determine t so that -28*t**5/5 + 204*t**4/5 - 476*t**3/5 + 484*t**2/5 - 216*t/5 + 32/5 = 0.
2/7, 1, 4
Find h, given that -3*h**5 + 28*h**4/3 + 8*h**3 - 34*h**2 + 65*h/3 - 2 = 0.
-2, 1/9, 1, 3
What is l in 5*l**4 - 360*l**3 + 8280*l**2 - 64800*l + 162000 = 0?
6, 30
Factor -4*n**2 - 4192*n - 1098304.
-4*(n + 524)**2
Determine t so that -4*t**2 + 8*t + 32 = 0.
-2, 4
Factor -t**2 + 90*t - 2025.
-(t - 45)**2
Solve -2*v**4/5 + 774*v**3/5 - 76036*v**2/5 + 44544*v - 147456/5 = 0.
1, 2, 192
Factor -z**3/2 - 63*z**2/2.
-z**2*(z + 63)/2
Determine a, given that -20*a**4 - 775*a**3 - 9405*a**2 - 35600*a + 9500 = 0.
-19, -10, 1/4
What is m in 9*m**3/2 - 537*m**2/2 + 438*m - 174 = 0?
2/3, 1, 58
Let 5*f**5 - 170*f**4 + 1880*f**3 - 7600*f**2 + 12880*f - 7840 = 0. Calculate f.
2, 14
Find k such that 3*k**2 - 12*k = 0.
0, 4
Factor -8*a**5/5 - 4976*a**4/5 - 1023314*a**3/5 - 67824262*a**2/5 + 71724202*a - 91293290.
-2*(a + 209)**3*(2*a - 5)**2/5
Determine f so that -6*f**2/7 - 2766*f/7 - 5508/7 = 0.
-459, -2
Suppose -5*q**5 - 1420*q**4 - 100815*q**3 + 1420*q**2 + 100820*q = 0. What is q?
-142, -1, 0, 1
Suppose 2*w**2 + 18304*w + 41879552 = 0. What is w?
-4576
Let -k**2 + 5*k = 0. What is k?
0, 5
Solve -93750*b**3 - 245500*b**2 + 11946*b - 144 = 0.
-8/3, 3/125
Solve i**5/2 + 15*i**4 + 79*i**3 - 494*i**2 + 1377*i/2 - 289 = 0 for i.
-17, 1, 2
Find m, given that 121*m**3 - 11*m**2 - 96*m + 36 = 0.
-1, 6/11
Factor 3*u**3 - 462*u**2 + 16320*u + 115200.
3*(u - 80)**2*(u + 6)
Factor -2*g**2/13 + 166*g/13 - 164/13.
-2*(g - 82)*(g - 1)/13
Factor 2*q**2/15 + 284*q/3 + 944/5.
2*(q + 2)*(q + 708)/15
Factor -2*f**4 + 12*f**3 - 8*f**2 - 48*f + 64.
-2*(f - 4)*(f - 2)**2*(f + 2)
Factor 3*j**2/4 - 234*j + 933/4.
3*(j - 311)*(j - 1)/4
Factor t**3/4 - 5*t**2 - 11*t.
t*(t - 22)*(t + 2)/4
Let -35*x**4 + 270*x**3 + 4000*x**2 + 10080*x + 2560 = 0. What is x?
-4, -2/7, 16
Solve 5*o**3 - 440*o**2 + 1700*o - 1680 = 0.
2, 84
Let -3*j**5 + 18*j**4 + 105*j**3 + 144*j**2 + 60*j = 0. What is j?
-2, -1, 0, 10
Solve -22*i**3/9 + 388*i**2/3 - 346*i/3 - 104/9 = 0.
-1/11, 1, 52
Solve -28*j**5/5 - 272*j**4/5 + 164*j**3/5 + 152*j**2 - 784*j/5 + 32 = 0 for j.
-10, -2, 2/7, 1
Determine i, given that 9*i**3/4 + 51*i**2/4 + 31*i/4 + 5/4 = 0.
-5, -1/3
Let 2*k**5 - 74*k**4 + 800*k**3 - 2688*k**2 = 0. What is k?
0, 8, 21
Factor 2*i**2/5 - i + 3/5.
(i - 1)*(2*i - 3)/5
Find f, given that 2*f**2/21 - 200*f/21 + 66/7 = 0.
1, 99
Factor x**4 - 6*x**3 - 135*x**2 - 400*x.
x*(x - 16)*(x + 5)**2
What is v in -2*v**2/7 - 44*v/7 + 208/7 = 0?
-26, 4
Factor 2*a**3 + 50*a**2.
2*a**2*(a + 25)
Solve 3*n**4 - 51*n**3 + 141*n**2 + 447*n + 252 = 0 for n.
-1, 7, 12
Factor w**4 + 246*w**3 + 1205*w**2.
w**2*(w + 5)*(w + 241)
Solve m**4 - 371*m**3 - 3027*m**2 - 1945*m + 18950 = 0.
-5, 2, 379
Let y**5/5 + 16*y**4/5 + 34*y**3/5 - 68*y**2/5 - 7*y + 52/5 = 0. Calculate y.
-13, -4, -1, 1
Suppose 5*x**5 - 10*x**4 - 20*x**3 + 10*x**2 + 15*x = 0. What is x?
-1, 0, 1, 3
Determine j, given that 8*j**3/9 - 4*j**2/3 + 4*j/9 = 0.
0, 1/2, 1
Factor 3*i**3/7 - 591*i**2/7 - 3012*i/7 - 3636/7.
3*(i - 202)*(i + 2)*(i + 3)/7
Solve 15*b**4/4 + 111*b**3/4 - 87*b**2/4 - 111*b/4 + 18 = 0 for b.
-8, -1, 3/5, 1
Find d such that 3*d**2 + 81*d + 216 = 0.
-24, -3
Find y, given that 4*y**3/7 - 8306*y**2/7 + 4313928*y/7 - 2154888/7 = 0.
1/2, 1038
Let 5*w**5/2 - 30*w**4 + 45*w**3/2 + 945*w**2 - 4050*w + 4860 = 0. What is w?
-6, 3, 6
Find p, given that 4*p**5/5 + 8*p**4/5 - 12*p**3 - 16*p**2 + 176*p/5 + 192/5 = 0.
-4, -2, -1, 2, 3
Factor h**5/2 + h**4/2 - 6*h**3 - 14*h**2 - 8*h.
h*(h - 4)*(h + 1)*(h + 2)**2/2
Factor -2*x**3/7 + 8*x**2 + 2*x/7 - 8.
-2*(x - 28)*(x - 1)*(x + 1)/7
Suppose -2*m**2 - 156*m - 304 = 0. What is m?
-76, -2
Determine b, given that -3*b**5 + 180*b**4 - 3483*b**3 + 30294*b**2 - 123444*b + 192456 = 0.
6, 9, 33
Solve -10*r**4 + 58*r**3 - 38*r**2 - 10*r = 0 for r.
-1/5, 0, 1, 5
Suppose 3*m**2 - 6*m - 24 = 0. Calculate m.
-2, 4
What is w in 3*w**5/2 - 2*w**4 - 2*w**3 + 3*w**2 + w/2 - 1 = 0?
-1, -2/3, 1
Let c**5/4 - 53*c**4/4 + 561*c**3/2 - 5929*c**2/2 + 62557*c/4 - 131769/4 = 0. What is c?
9, 11
Factor 2*f**2 + 14*f.
2*f*(f + 7)
Factor -25*g**3 - 140*g**2 - 205*g - 90.
-5*(g + 1)**2*(5*g + 18)
Suppose -5*n**3/3 - 80*n**2 - 435*n + 42050/3 = 0. What is n?
-29, 10
Solve 4*q**5 + 149*q**4 + 177*q**3 - 113*q**2 - 181*q - 36 = 0 for q.
-36, -1, -1/4, 1
Factor 4*p**3/9 + 3490*p**2/9 + 1744*p/9.
2*p*(p + 872)*(2*p + 1)/9
Factor x**4 - 11*x**3 + 27*x**2 - 25*x + 8.
(x - 8)*(x - 1)**3
Let 3*r**4 + 6*r**3 - 12*r**2 - 6*r + 9 = 0. What is r?
-3, -1, 1
Factor -3*j**2 + 468*j + 4980.
-3*(j - 166)*(j + 10)
Factor k**3/5 + 212*k**2/5 + 12036*k/5 + 83232/5.
(k + 8)*(k + 102)**2/5
Determine j, given that 2*j**4/3 + 14*j**3/3 + 22*j**2/3 + 10*j/3 = 0.
-