at -5*c**3 + 215*c**2 - 1290*c + 1080 = 0.
1, 6, 36
Solve 5*u**4 - 5*u**3 - 4010*u**2 + 50240*u - 84480 = 0 for u.
-33, 2, 16
Find v, given that -2*v**2/9 + 8*v/9 = 0.
0, 4
Suppose 2*u**5/13 - 44*u**4/13 + 18*u**3 + 176*u**2/13 - 968*u/13 = 0. What is u?
-2, 0, 2, 11
Solve -10*z**5 + 115*z**4 - 160*z**3 - 950*z**2 - 910*z - 245 = 0 for z.
-1, -1/2, 7
Factor -d**2 + 312*d/5 - 124/5.
-(d - 62)*(5*d - 2)/5
Factor p**4/3 - 5*p**3/3 + p**2 + 3*p.
p*(p - 3)**2*(p + 1)/3
Let 2*x**2/7 + 1122*x/7 + 2236/7 = 0. Calculate x.
-559, -2
Factor -2*w**5/5 - 368*w**4 - 425036*w**3/5 - 168912*w**2 - 421362*w/5.
-2*w*(w + 1)**2*(w + 459)**2/5
Factor 3*t**2 + 159*t - 3060.
3*(t - 15)*(t + 68)
Suppose -2*w**2/11 + 716*w - 704902 = 0. Calculate w.
1969
What is p in 2*p**3/9 + p**2 - 3*p - 6 = 0?
-6, -3/2, 3
Find r, given that -2*r**5/5 - 218*r**4/5 - 2798*r**3/5 - 2678*r**2 - 5360*r - 3800 = 0.
-95, -5, -2
Factor 33*r**2 - 504*r + 876.
3*(r - 2)*(11*r - 146)
Factor -b**3/5 - 104*b**2/5 - 3397*b/5 - 33282/5.
-(b + 18)*(b + 43)**2/5
Determine d so that -3*d**4 + 36*d**3 - 126*d**2 + 156*d - 63 = 0.
1, 3, 7
Factor 4*d**3/9 + 104*d**2/3.
4*d**2*(d + 78)/9
Factor -2*m**2 + 21572*m - 58168898.
-2*(m - 5393)**2
Let 20*w**2 + 24*w + 4 = 0. Calculate w.
-1, -1/5
Suppose 2*a**5/11 - 16*a**4/11 + 12*a**3/11 + 16*a**2/11 - 14*a/11 = 0. Calculate a.
-1, 0, 1, 7
Solve 2*m**2/11 + 2*m = 0 for m.
-11, 0
Determine q, given that 3*q**3 + 63*q**2 - 210*q + 144 = 0.
-24, 1, 2
Factor 5*a**5 - 10*a**4 - 320*a**3 + 640*a**2.
5*a**2*(a - 8)*(a - 2)*(a + 8)
Find x, given that 7*x**5/3 + 22*x**4 + 55*x**3 + 2*x**2/3 - 80*x = 0.
-5, -24/7, -2, 0, 1
Factor r**2/5 + 3267*r/5 + 3266/5.
(r + 1)*(r + 3266)/5
Solve 3*o**4 - 33*o**3 + 99*o**2 - 111*o + 42 = 0.
1, 2, 7
Suppose -64*n**4 - 544*n**3 - 228*n**2 + 220*n - 32 = 0. Calculate n.
-8, -1, 1/4
Factor -v**2 - 15*v - 14.
-(v + 1)*(v + 14)
Suppose -5*t**4/4 + 95*t**3/2 - 535*t**2 + 3145*t/2 - 4335/4 = 0. Calculate t.
1, 3, 17
Solve -2*z**2 - 19*z - 9 = 0.
-9, -1/2
Find k, given that 25*k**3 - 5*k**2 - 100*k + 20 = 0.
-2, 1/5, 2
Find n such that -5*n**3 - 15*n**2 + 120*n - 140 = 0.
-7, 2
Solve -50*r**2 + 146*r + 12 = 0 for r.
-2/25, 3
Factor 3*u**4 - 279*u**3 + 276*u**2.
3*u**2*(u - 92)*(u - 1)
Solve -t**3 + 6*t**2 - 5*t - 12 = 0.
-1, 3, 4
Factor d**3/3 - 3*d**2 - 52*d/3.
d*(d - 13)*(d + 4)/3
Factor -4*j**3 - 104*j**2 + 224*j.
-4*j*(j - 2)*(j + 28)
Factor 2*q**4 + 82*q**3 - 1652*q**2 + 1568*q.
2*q*(q - 14)*(q - 1)*(q + 56)
Find p, given that -p**5/5 + 7*p**4/5 + 61*p**3/5 - 7*p**2/5 - 12*p = 0.
-5, -1, 0, 1, 12
Factor 3*b**3/4 + 1359*b**2/4 + 163593*b/4 + 2158245/4.
3*(b + 15)*(b + 219)**2/4
What is l in 45*l**3 - 22515*l**2 + 29960*l - 9980 = 0?
2/3, 499
Factor d**2/2 + 241*d/2 - 243.
(d - 2)*(d + 243)/2
Let 4*p**2/5 - 9336*p/5 - 1868 = 0. Calculate p.
-1, 2335
What is u in u**4/8 - 5*u**3/8 - 31*u**2/8 - 43*u/8 - 9/4 = 0?
-2, -1, 9
Determine z, given that 4*z**3 + 4004*z**2 + 1011936*z + 4960080 = 0.
-498, -5
Solve y**2/6 + 23*y/3 - 47/6 = 0 for y.
-47, 1
Let -s**5 - 5*s**4 - 9*s**3 - 7*s**2 - 2*s = 0. What is s?
-2, -1, 0
Find a, given that 6*a**4 - 208*a**3 + 130*a**2 + 208*a - 136 = 0.
-1, 2/3, 1, 34
Factor -5*y**3 - 10*y**2 + 100*y - 120.
-5*(y - 2)**2*(y + 6)
Factor -3*b**2/4 + 1329*b/4 + 333.
-3*(b - 444)*(b + 1)/4
Let -55*v**2/2 - 815*v/2 + 75 = 0. What is v?
-15, 2/11
Find v such that v**2 + 58*v + 57 = 0.
-57, -1
Determine d so that -675*d**2 + 1440*d - 768 = 0.
16/15
Factor -g**2/3 - 187*g/3 - 534.
-(g + 9)*(g + 178)/3
Factor 4*g**2 - 2784*g.
4*g*(g - 696)
Factor 3*j**4 + 36*j**3.
3*j**3*(j + 12)
Factor -k**3/2 - 61*k**2/4 - 133*k - 245.
-(k + 14)**2*(2*k + 5)/4
Factor 3*o**2 + 783*o.
3*o*(o + 261)
Let v**3/3 - 7*v**2/3 + 7*v/3 + 5 = 0. Calculate v.
-1, 3, 5
Factor -3*u**2 + 225*u - 438.
-3*(u - 73)*(u - 2)
Suppose v**4/5 + 11*v**3 + 677*v**2/5 + 1193*v/5 + 114 = 0. What is v?
-38, -15, -1
Suppose -4*m**4 - 64*m**3 - 308*m**2 - 536*m - 288 = 0. What is m?
-9, -4, -2, -1
Solve b**2/7 - 5*b + 66/7 = 0.
2, 33
Determine q so that 2*q**5/9 - 12*q**4 + 1346*q**3/9 + 336*q**2 + 1568*q/9 = 0.
-1, 0, 28
Factor x**4/3 - 224*x**3/3 + 6272*x**2 - 702464*x/3 + 9834496/3.
(x - 56)**4/3
What is l in -2*l**2/9 + 100*l/9 + 48 = 0?
-4, 54
Factor -5*o**2 + 19640*o - 19286480.
-5*(o - 1964)**2
Factor 2*j**4 + 28*j**3 - 46*j**2 - 1800*j - 5184.
2*(j - 8)*(j + 4)*(j + 9)**2
Suppose 3*z**4/4 + 231*z**3 + 53361*z**2/2 + 1369599*z + 105459123/4 = 0. What is z?
-77
Factor n**3 + 22*n**2 - 160*n + 224.
(n - 4)*(n - 2)*(n + 28)
Find c such that -2*c**2/3 + 148*c + 446/3 = 0.
-1, 223
Factor -j**2 - 970*j + 971.
-(j - 1)*(j + 971)
Factor 117*p**2/5 - 46*p - 8/5.
(p - 2)*(117*p + 4)/5
Factor 108*m**4 - 4212*m**3 - 4284*m**2 - 1436*m - 160.
4*(m - 40)*(3*m + 1)**3
Factor 1600*q**4 - 8760*q**3 + 45721*q**2/4 + 1533*q + 49.
(5*q - 14)**2*(16*q + 1)**2/4
What is v in -3*v**2/4 + 177*v/2 + 1170 = 0?
-12, 130
Find k such that -4*k**3/13 + 246*k**2/13 + 126*k/13 - 124/13 = 0.
-1, 1/2, 62
Let -3*m**2 - 1848*m + 1851 = 0. What is m?
-617, 1
Suppose f**2/8 + 7*f/8 = 0. Calculate f.
-7, 0
Suppose -p**4 - 95*p**3 - 627*p**2 - 973*p - 440 = 0. What is p?
-88, -5, -1
Suppose 3*g**5/8 + 579*g**4/8 - 1179*g**3/8 - 1743*g**2/8 + 294*g + 585/2 = 0. What is g?
-195, -1, 2
Factor -9*s**2 + 96*s - 60.
-3*(s - 10)*(3*s - 2)
Factor q**5/4 - 3*q**4/2 - 19*q**3/4 + 6*q**2.
q**2*(q - 8)*(q - 1)*(q + 3)/4
Suppose 20250000*w**2 - 9000*w + 1 = 0. What is w?
1/4500
Determine b so that 5*b**2/3 + 10*b - 6800/3 = 0.
-40, 34
Factor -5*n**2 + 10470*n - 5481045.
-5*(n - 1047)**2
Solve -2*j**2/9 - 6*j + 56/9 = 0 for j.
-28, 1
Factor 3*k**2 - 7434*k + 4605363.
3*(k - 1239)**2
Factor -4*d**2 - 496*d + 1524.
-4*(d - 3)*(d + 127)
What is p in -5*p**5 + 85*p**4 - 390*p**3 + 710*p**2 - 565*p + 165 = 0?
1, 3, 11
Suppose -2*w**2 - 48*w/5 + 2 = 0. Calculate w.
-5, 1/5
Factor -2*k**3 + 74*k**2 + 8*k - 296.
-2*(k - 37)*(k - 2)*(k + 2)
Factor 3*o**3 + 9*o**2 + 6*o.
3*o*(o + 1)*(o + 2)
Let -f**2/2 - 9*f - 17/2 = 0. What is f?
-17, -1
Let 2*i**2/15 - 16*i/5 + 42/5 = 0. What is i?
3, 21
Factor -s**5/5 - s**4 - 9*s**3/5 - 7*s**2/5 - 2*s/5.
-s*(s + 1)**3*(s + 2)/5
Factor 4*o**3/7 - 172*o**2/7 + 640*o/7 - 624/7.
4*(o - 39)*(o - 2)**2/7
Factor x**3 - 20*x**2 + 100*x.
x*(x - 10)**2
Let -z**2/11 - 120*z/11 + 244/11 = 0. Calculate z.
-122, 2
Factor 5*f**4 + 1280*f**3 + 1270*f**2 - 1280*f - 1275.
5*(f - 1)*(f + 1)**2*(f + 255)
Find w such that 3*w**5/7 + 12*w**4 + 783*w**3/7 + 2430*w**2/7 = 0.
-10, -9, 0
What is t in 3*t**2 + 444*t = 0?
-148, 0
Find o, given that -3*o**5/2 - 6*o**4 + 21*o**2 + 51*o/2 + 9 = 0.
-3, -1, 2
Find i, given that -5*i**5 - 45*i**4 - 65*i**3 + 45*i**2 + 70*i = 0.
-7, -2, -1, 0, 1
Determine p, given that 5*p**4 + 560*p**3 + 1095*p**2 - 560*p - 1100 = 0.
-110, -2, -1, 1
Solve -x**2/4 + 105*x/4 = 0.
0, 105
Factor 2*u**2/17 + 382*u/17 + 2220/17.
2*(u + 6)*(u + 185)/17
Let -2*b**5/3 - 34*b**4/3 + 260*b**3/3 - 368*b**2/3 = 0. What is b?
-23, 0, 2, 4
Suppose 45*d**5 + 195*d**4 - 55*d**3 - 395*d**2 + 250*d - 40 = 0. What is d?
-4, -2, 1/3, 1
Factor -3*d**4 + 210*d**3 - 2991*d**2 - 23940*d - 38988.
-3*(d - 38)**2*(d + 3)**2
Solve j**5/6 - 11*j**4/2 + 383*j**3/6 - 1771*j**2/6 + 420*j - 550/3 = 0.
1, 10, 11
Let -2*p**3/11 + 94*p**2/11 - 950*p/11 - 3750/11 = 0. What is p?
-3, 25
Determine g, given that -2*g**3 - 20*g**2 - 42*g = 0.
-7, -3, 0
Factor -3*x**3 + 9*x**2 + 102*x + 144.
-3*(x - 8)*(x + 2)*(x + 3)
What is l in -36*l**4/7 + 10128*l**3/7 - 712336*l**2/7 = 0?
0, 422/3
Determine j, given that -5*j**4 + 30*j**3 + 75*j**2 + 40*j = 0.
-1, 0, 8
Suppose 2*v**2/3 + 196*v/3 + 4802/3 = 0. What is v?
-49
Factor 4*l**3 - 28*l**2 - 20*l + 300.
4*(l - 5)**2*(l + 3)
Factor x**5/3 - 8*x**4/3 + 13*x**3/3 - 2*x**2.
x**2*(x - 6)*(x - 1)**2/3
Suppose 42*i**2/23 - 344*i/23 + 520/23 = 0. What is i?
2, 130/21
Factor -2*i**2/5 - 404*i/5 - 402/5.
-2*(i + 1)*(i + 201)/5
Suppose 882*p**2/13 + 2642*p/13 - 12/13 = 0. Calculate p.
-3, 2/441
Find s such that -3*s**5/4 + 63*s**4 + 783*s**3/4 + 3*s**2 - 261*s = 0.
-2, 0, 1, 87
Let 14*o**4/5 - 38*o**3/5 - 152*o**2/5 - 8*o = 0. What is o?
-2, -2/7, 0, 5
Determine h so that 2*h**3/3 - 2*h**2/3 - 8*h/3 + 8/3 = 0.
-2, 1, 2
Determine z so that -z**3 + 7*z**2 + 92*z + 84 = 0.
-6, -1, 14
Wh