, 115
Find l such that 5*l**2 - 125*l + 330 = 0.
3, 22
Find s, given that 3*s**2/4 + 39*s/2 + 126 = 0.
-14, -12
Determine y so that -y**5 + 9*y**4 + 369*y**3 + 2835*y**2 + 8424*y + 8748 = 0.
-6, -3, 27
Find p, given that -4*p**4 - 880*p**3 - 72600*p**2 - 2662000*p - 36602500 = 0.
-55
Let j**4/3 - 2*j**3/3 - 305*j**2/3 + 102*j = 0. Calculate j.
-17, 0, 1, 18
Factor 2*u**2/13 + 894*u/13 + 1780/13.
2*(u + 2)*(u + 445)/13
Factor 5*p**2 - 90*p + 225.
5*(p - 15)*(p - 3)
Solve -l**4/7 - 12*l**3/7 + 45*l**2/7 - 4*l/7 - 60/7 = 0 for l.
-15, -1, 2
Solve -5*a**5/4 - 3*a**4/4 + 13*a**3/4 + 3*a**2/4 - 2*a = 0 for a.
-8/5, -1, 0, 1
Let 5*s**5 + 83*s**4 + 446*s**3 + 848*s**2 + 224*s - 256 = 0. What is s?
-8, -4, -1, 2/5
Factor 10*n**3 - 406*n**2/5 - 402*n/5 + 54/5.
2*(n - 9)*(n + 1)*(25*n - 3)/5
Factor 2*u**2/13 - 2404*u/13 + 722402/13.
2*(u - 601)**2/13
Factor z**3/2 + 9*z**2/2 - 5*z.
z*(z - 1)*(z + 10)/2
Determine m, given that 81*m**4/4 - 19557*m**3/4 + 2170*m**2 - 241*m = 0.
0, 2/9, 241
Determine c so that -5*c**2/4 + 270*c - 14580 = 0.
108
Determine o, given that 2*o**2/11 + 40*o/11 + 200/11 = 0.
-10
Factor -w**5/5 - 24*w**4/5 - 24*w**3 - 224*w**2/5 - 144*w/5.
-w*(w + 2)**3*(w + 18)/5
Factor -28*o**3 + 96*o**2 + 76*o - 48.
-4*(o - 4)*(o + 1)*(7*o - 3)
Factor 5*a**4 + 7650*a**3 + 2918465*a**2 - 5859900*a + 2933780.
5*(a - 1)**2*(a + 766)**2
Factor -22*q**2/9 + q/9 + 2/3.
-(2*q + 1)*(11*q - 6)/9
Factor -j**2 - 334*j + 3440.
-(j - 10)*(j + 344)
Determine n, given that 129*n**5/2 + 267*n**4 + 459*n**3/2 - 231*n**2 - 294*n - 36 = 0.
-2, -1, -6/43, 1
Find m, given that -m**5/2 + 15*m**4/2 - 83*m**3/2 + 209*m**2/2 - 120*m + 50 = 0.
1, 2, 5
Factor 3*b**3 + 14091*b**2 + 16539309*b - 16553403.
3*(b - 1)*(b + 2349)**2
Suppose -4*i**3 - 168*i**2 + 4*i + 168 = 0. Calculate i.
-42, -1, 1
Find s, given that 2*s**2/5 - 4*s + 18/5 = 0.
1, 9
Factor -4*j**4 - 296*j**3 - 1680*j**2 - 3296*j - 2176.
-4*(j + 2)**3*(j + 68)
Let 38*p**5/3 - 424*p**4/9 + 250*p**3/9 + 148*p**2/3 - 328*p/9 + 16/9 = 0. Calculate p.
-1, 1/19, 2/3, 2
Let -21*s**4 + 15*s**3 + 1518*s**2 + 432*s = 0. What is s?
-8, -2/7, 0, 9
Solve 3*g**4/8 + 3*g**3/8 - 21*g**2/8 - 3*g/8 + 9/4 = 0 for g.
-3, -1, 1, 2
Let w**4/7 + 15*w**3/7 + 75*w**2/7 + 125*w/7 = 0. Calculate w.
-5, 0
Let 3*y**5/4 + 39*y**4/4 + 45*y**3/4 - 615*y**2/4 - 12*y + 144 = 0. What is y?
-8, -1, 1, 3
Factor -s**4 - 57*s**3 - 164*s**2 - 108*s.
-s*(s + 1)*(s + 2)*(s + 54)
Solve -2*v**2/9 + 4*v/3 - 2 = 0.
3
Factor g**4/7 - 10*g**3/7 - 72*g**2/7 + 810*g/7 - 729/7.
(g - 9)**2*(g - 1)*(g + 9)/7
Factor 3*a**2/5 - 1479*a/5.
3*a*(a - 493)/5
Factor 2*k**4/7 + 2*k**3 + 24*k**2/7.
2*k**2*(k + 3)*(k + 4)/7
Find f such that -4*f**3 - 1340*f**2 - 119232*f - 1154736 = 0.
-162, -11
Factor 2*d**2/11 + 28*d/11 - 294/11.
2*(d - 7)*(d + 21)/11
Determine x so that 9*x**2 - 14*x + 5 = 0.
5/9, 1
Factor 3*f**4/2 - 1086*f**3 + 294849*f**2 - 35578446*f + 3219849363/2.
3*(f - 181)**4/2
Factor 6*m**3 + 284*m**2 + 94*m.
2*m*(m + 47)*(3*m + 1)
Factor 2*l**4/3 + 40*l**3/3 + 24*l**2.
2*l**2*(l + 2)*(l + 18)/3
Factor -u**2 - 23*u + 288.
-(u - 9)*(u + 32)
Solve 2*h**5/11 - 6*h**4/11 - 40*h**3/11 + 96*h**2/11 + 128*h/11 = 0 for h.
-4, -1, 0, 4
Factor -6*o**3 - 9*o**2 + 6*o.
-3*o*(o + 2)*(2*o - 1)
Suppose t**4/5 + 8*t**3 + 80*t**2 = 0. What is t?
-20, 0
Find q, given that 3*q**3 - 888*q**2 + 6960*q - 13824 = 0.
4, 288
Let -y**3/3 + 50*y**2 - 1875*y = 0. What is y?
0, 75
Factor b**2/9 - 31*b/9 - 22/3.
(b - 33)*(b + 2)/9
Solve -d**2 + 4*d - 3 = 0 for d.
1, 3
Suppose 4*d**3/3 - 64*d**2/3 + 20*d = 0. Calculate d.
0, 1, 15
Factor 2*n**3 - 2922*n**2 + 2916*n + 5840.
2*(n - 1460)*(n - 2)*(n + 1)
Suppose 2*g**2/11 - 72*g/11 + 70/11 = 0. Calculate g.
1, 35
Factor -p**2/3 + 166*p/3 + 169.
-(p - 169)*(p + 3)/3
Find n such that 16*n**4 - 96*n**3 - 12*n**2 + 76*n - 24 = 0.
-1, 1/2, 6
Factor -2*c**2 - 82*c + 172.
-2*(c - 2)*(c + 43)
Factor -16*n**4 + 88*n**3 + 55*n**2 - 43*n + 6.
-(n - 6)*(n + 1)*(4*n - 1)**2
Solve -r**4 - 138*r**3 - 541*r**2 - 672*r - 268 = 0 for r.
-134, -2, -1
Factor -3*c**5 + 2*c**4 + 10*c**3 - 12*c**2 + c + 2.
-(c - 1)**3*(c + 2)*(3*c + 1)
Factor 21*i**2/4 + 1485*i/4 - 213/2.
3*(i + 71)*(7*i - 2)/4
Suppose -b**5 + 4*b**4 + 4*b**3 - 22*b**2 - 3*b + 18 = 0. What is b?
-2, -1, 1, 3
Factor y**4/9 - 4048*y**3/9 + 606600*y**2 - 272160000*y - 546750000.
(y - 1350)**3*(y + 2)/9
Determine g so that 3*g**4 - 51*g**3 - 9*g**2 + 147*g + 102 = 0.
-1, 2, 17
Solve 12*u**3/11 + 158*u**2/11 + 290*u/11 + 4 = 0.
-11, -2, -1/6
Suppose p**5/4 + p**4 + 3*p**3/4 = 0. Calculate p.
-3, -1, 0
Find a, given that 5*a**5/4 + 85*a**4/4 + 130*a**3 + 350*a**2 + 420*a + 180 = 0.
-6, -2, -1
Factor -2*d**2/3 + 16*d/21.
-2*d*(7*d - 8)/21
Let 5*n**5 + 260*n**4 + 4590*n**3 + 28900*n**2 + 24565*n = 0. Calculate n.
-17, -1, 0
Find b such that -42*b**4 - 55*b**3/2 + 27*b**2/2 - b = 0.
-1, 0, 2/21, 1/4
Factor -10*z**2 + 21*z + 27.
-(z - 3)*(10*z + 9)
Factor 4*x**3 + 112*x**2 + 108*x.
4*x*(x + 1)*(x + 27)
What is u in u**2/9 - 1/9 = 0?
-1, 1
Determine y, given that -5*y**3 + 60*y**2 - 195*y + 140 = 0.
1, 4, 7
What is p in -27*p**2/4 + 21*p/4 + 3/2 = 0?
-2/9, 1
Factor -s**4/5 + 14*s**3/5 - 61*s**2/5 + 84*s/5 - 36/5.
-(s - 6)**2*(s - 1)**2/5
Solve 13*b**4/4 - 6*b**3 + 9*b**2/4 + b/2 = 0 for b.
-2/13, 0, 1
Factor -3*p**2 + 993*p - 990.
-3*(p - 330)*(p - 1)
Factor 4*j**2 + 184*j + 2116.
4*(j + 23)**2
Suppose -2*a**4 + 124*a**3/5 - 38*a**2/5 - 124*a/5 + 48/5 = 0. What is a?
-1, 2/5, 1, 12
Determine p so that -2*p**5/9 - 22*p**4/9 - 28*p**3/3 - 128*p**2/9 - 64*p/9 = 0.
-4, -2, -1, 0
Let 5*q**5 + 75*q**4/4 - 50*q**3 - 275*q**2/4 + 120*q - 25 = 0. Calculate q.
-5, -2, 1/4, 1, 2
Determine j so that -4*j**2/3 - 150*j/7 - 32/21 = 0.
-16, -1/14
Find y, given that -2*y**2/13 - 274*y/13 - 272/13 = 0.
-136, -1
Determine b so that 14700*b**2 + 1260*b + 27 = 0.
-3/70
Factor -p**4 + 15*p**3 + 58*p**2 - 72*p.
-p*(p - 18)*(p - 1)*(p + 4)
Solve -90*y**3/7 - 48*y**2/7 + 8*y/7 = 0 for y.
-2/3, 0, 2/15
Factor w**2/9 - 104*w/9 + 2704/9.
(w - 52)**2/9
Factor -a**3/8 - 73*a**2/4 - 5329*a/8.
-a*(a + 73)**2/8
Let t**3 + 191*t**2 - 192*t = 0. What is t?
-192, 0, 1
Let -d**5/4 + 9*d**4/4 - 15*d**3/4 - 25*d**2/4 = 0. What is d?
-1, 0, 5
Solve -i**4/3 + 98*i**3/3 - 376*i**2/3 = 0.
0, 4, 94
Suppose 18*w**2/17 - 332*w/17 + 144/17 = 0. What is w?
4/9, 18
Factor 2*z**3 + 180*z**2 - 2678*z.
2*z*(z - 13)*(z + 103)
Factor 7*b**4/4 + 5*b**3/2 - 11*b**2/4 - 3*b/2.
b*(b - 1)*(b + 2)*(7*b + 3)/4
Factor 2*l**4/5 + 2*l**3/5 - 24*l**2/5 - 56*l/5 - 32/5.
2*(l - 4)*(l + 1)*(l + 2)**2/5
Suppose -d**3/9 - 46*d**2/9 - 425*d/9 + 2500/9 = 0. What is d?
-25, 4
Factor -2*w**2 - 462*w + 2844.
-2*(w - 6)*(w + 237)
Let -4*q**5/5 - 11*q**4/5 + 6*q**3/5 + 41*q**2/5 + 8*q + 12/5 = 0. What is q?
-2, -1, -3/4, 2
Factor -2*s**2/21 + 4*s/21.
-2*s*(s - 2)/21
What is h in 15*h**4 - 115*h**3 - 40*h**2 = 0?
-1/3, 0, 8
Suppose 2*q**4/7 - 6*q**3/7 - 10*q**2/7 + 6*q/7 + 8/7 = 0. Calculate q.
-1, 1, 4
Determine c so that -c**2/3 - 32*c/3 + 68/3 = 0.
-34, 2
Factor 2*m**3/13 - 450*m**2/13 + 33750*m/13 - 843750/13.
2*(m - 75)**3/13
Let 5*q**4/4 + 30*q**3 + 495*q**2/2 + 850*q + 4125/4 = 0. Calculate q.
-11, -5, -3
Solve n**5 - 43*n**4 + 39*n**3 + 127*n**2 - 40*n - 84 = 0.
-1, 1, 2, 42
Suppose -x**5 + 65*x**4/4 - 73*x**3 + 445*x**2/4 - 127*x/2 + 10 = 0. Calculate x.
1/4, 1, 4, 10
Factor -j**4 - 7*j**3 + 9*j**2 + 7*j - 8.
-(j - 1)**2*(j + 1)*(j + 8)
Let -4*f**3 - 68*f**2 - 236*f + 308 = 0. Calculate f.
-11, -7, 1
What is a in -64*a**3/9 + 44*a**2/3 - 8*a/9 = 0?
0, 1/16, 2
What is c in -3*c**2/2 - 471*c/2 = 0?
-157, 0
Determine z so that -z**5/6 + 5*z**4/6 + 7*z**3/3 + z**2/3 - 13*z/6 - 7/6 = 0.
-1, 1, 7
Let 8*p**2 - 6*p - 2 = 0. Calculate p.
-1/4, 1
Let 7*g**4/5 - 2*g**3/5 - 63*g**2/5 + 18*g/5 = 0. Calculate g.
-3, 0, 2/7, 3
Solve 5*y**4 - 40*y**3 + 55*y**2 + 40*y - 60 = 0 for y.
-1, 1, 2, 6
Find y such that y**4 - 9*y**3 - 63*y**2 + 149*y - 78 = 0.
-6, 1, 13
Factor -g**2/4 + 55*g/2 - 54.
-(g - 108)*(g - 2)/4
Factor 3*l**5 - 9*l**4 - 15*l**3 + 9*l**2 + 12*l.
3*l*(l - 4)*(l - 1)*(l + 1)**2
Let -2*y**2/15 - 418*y/15 - 412/5 = 0. What is y?
-206, -3
Factor -185*n**2/3 - 2*n/3.
-n*(185*n + 2)/3
Factor 3*a**3 - 3*a**2 - 12*a + 12.
3*(a - 2)*(a - 1)*(a + 2)
What is g in -2*g**2 + 232*g + 472 = 0