 6050 = 0.
-1210, -1
Determine t, given that -t**2 - 127*t + 660 = 0.
-132, 5
Factor -f**3/2 + 20*f**2 - 200*f.
-f*(f - 20)**2/2
What is j in -5*j**4 - 40*j**3 = 0?
-8, 0
Find n such that -n**4/2 - 161*n**3/2 - 3280*n**2 - 3200*n = 0.
-80, -1, 0
Suppose 2*f**5 + 21*f**4 + 16*f**3 - 185*f**2 + 66*f + 80 = 0. Calculate f.
-8, -5, -1/2, 1, 2
Determine q, given that -3*q**3/7 + 1797*q**2/7 - 1788*q/7 - 3588/7 = 0.
-1, 2, 598
Solve 2*a**3/13 + 6*a**2/13 + 4*a/13 = 0.
-2, -1, 0
Factor 2*i**3/3 + 44*i**2/3 + 130*i/3 - 1352/3.
2*(i - 4)*(i + 13)**2/3
Factor 5*q**3 - 240*q**2 + 900*q - 880.
5*(q - 44)*(q - 2)**2
Suppose 2*m**4 + 10*m**3 + 18*m**2 + 14*m + 4 = 0. Calculate m.
-2, -1
Factor 3*v**3 - 57*v**2 - 192*v - 132.
3*(v - 22)*(v + 1)*(v + 2)
Let -2*n**4/7 + 8*n**3/7 + 12*n**2/7 - 8*n/7 - 10/7 = 0. Calculate n.
-1, 1, 5
Factor -2*a**2/9 + 472*a/3 - 27848.
-2*(a - 354)**2/9
Determine n so that 5*n**4 - 110*n**3 + 600*n**2 - 1170*n + 675 = 0.
1, 3, 15
Factor -p**2 + 168*p - 7056.
-(p - 84)**2
Determine i, given that i**3/8 - 21*i**2/8 - 45*i/8 - 23/8 = 0.
-1, 23
Factor -2*i**3/17 - 40*i**2/17 - 8*i - 128/17.
-2*(i + 2)**2*(i + 16)/17
Factor -4*o**5 + 384*o**4 - 13400*o**3 + 190000*o**2 - 562500*o - 6250000.
-4*(o - 25)**4*(o + 4)
Solve 2*i**2/13 + 372*i/13 + 370/13 = 0 for i.
-185, -1
Determine m, given that 734*m**2/11 - 1476*m/11 + 16/11 = 0.
4/367, 2
Factor -52*b**2/7 + 964*b/7 + 1016/7.
-4*(b + 1)*(13*b - 254)/7
Determine i so that 2*i**5/11 - 2*i**4/11 - 62*i**3/11 - 142*i**2/11 - 84*i/11 = 0.
-3, -2, -1, 0, 7
Find b, given that b**3/2 + 6789*b**2/2 + 11519235*b/2 - 11526025/2 = 0.
-3395, 1
Factor 2*m**2/7 - 12*m - 86/7.
2*(m - 43)*(m + 1)/7
Suppose -2*a**2 + 77*a - 38 = 0. Calculate a.
1/2, 38
Factor -2*t**3/3 - 182*t**2 + 2*t/3 + 182.
-2*(t - 1)*(t + 1)*(t + 273)/3
Factor -5*a**2/2 - 510*a - 2000.
-5*(a + 4)*(a + 200)/2
Factor 2*x**5/17 - 12*x**4/17 + 2*x**3/17 + 48*x**2/17 + 32*x/17.
2*x*(x - 4)**2*(x + 1)**2/17
Suppose 4*h**2 - 744*h - 748 = 0. Calculate h.
-1, 187
Factor -2*d**3/11 + 36*d**2/11 - 34*d/11.
-2*d*(d - 17)*(d - 1)/11
Factor f**2/2 + 1567*f/2 - 784.
(f - 1)*(f + 1568)/2
Find q, given that -14*q**2/15 + 3314*q/15 + 316/5 = 0.
-2/7, 237
Suppose -3*v**2 + 36*v - 96 = 0. What is v?
4, 8
Factor 2*s**4 + 4*s**3 - 16*s**2 - 36*s - 18.
2*(s - 3)*(s + 1)**2*(s + 3)
What is u in 2*u**3/17 + 20*u**2/17 - 98*u/17 - 260/17 = 0?
-13, -2, 5
Determine i, given that -i**2 - 1372*i - 1371 = 0.
-1371, -1
Find l, given that l**2 - 7*l + 6 = 0.
1, 6
Find s such that -4*s**5/5 - 64*s**4 - 8424*s**3/5 - 69984*s**2/5 + 78732*s/5 = 0.
-27, 0, 1
Find h such that 6*h**3 + 40*h**2 + 58*h - 24 = 0.
-4, -3, 1/3
Determine p, given that 33*p**4 + 60*p**3 - 144*p**2 - 240*p + 48 = 0.
-2, 2/11, 2
Suppose -28*l**2 + 1068*l - 152 = 0. Calculate l.
1/7, 38
Factor 4*z**3/5 + 27*z**2/5 - 12*z/5 - 7.
(z + 1)*(z + 7)*(4*z - 5)/5
Factor 4*o**2/7 + 464*o/7 + 460/7.
4*(o + 1)*(o + 115)/7
Factor -p**5/3 - 8*p**4/3 - 4*p**3.
-p**3*(p + 2)*(p + 6)/3
Let -2*x**4 + 400*x**3 - 1182*x**2 = 0. What is x?
0, 3, 197
Solve -u**3/3 - 391*u**2 - 114465*u + 344569/3 = 0 for u.
-587, 1
Let -2*o**2 + 276*o - 9522 = 0. What is o?
69
Determine g, given that 2*g**5/5 + 6*g**4/5 - 18*g**3/5 + 2*g**2 = 0.
-5, 0, 1
Let 10*o**3 - 36*o**2 + 162*o/5 = 0. Calculate o.
0, 9/5
Factor -t**2 + 74*t - 408.
-(t - 68)*(t - 6)
Factor v**2/5 + 28*v/5 - 12.
(v - 2)*(v + 30)/5
Determine c so that 3*c**2 - 48*c + 84 = 0.
2, 14
Factor 2*n**3 + 336*n**2 + 11880*n - 194400.
2*(n - 12)*(n + 90)**2
Factor 2*t**5/3 - 34*t**4/3 + 224*t**3/3 - 704*t**2/3 + 1024*t/3 - 512/3.
2*(t - 4)**4*(t - 1)/3
What is g in 2*g**2/3 + 18*g + 100/3 = 0?
-25, -2
Let -5*i**5/3 - 2735*i**4/3 + 5485*i**3/3 - 915*i**2 = 0. Calculate i.
-549, 0, 1
Factor g**2/6 + 1333*g/6 + 222.
(g + 1)*(g + 1332)/6
Find j, given that 2*j**2/5 - 216*j/5 + 5832/5 = 0.
54
Let j**5 - 15*j**4 + 68*j**3 - 96*j**2 = 0. Calculate j.
0, 3, 4, 8
Suppose a**3/4 - 65*a**2 - 131*a = 0. What is a?
-2, 0, 262
Determine l so that -l**3 - 7*l**2 + 8*l = 0.
-8, 0, 1
Find n, given that 2*n**2/5 + 88*n/5 + 968/5 = 0.
-22
Determine f, given that -32*f**3 - 644*f**2 + 648*f + 1260 = 0.
-21, -1, 15/8
Determine d so that -5*d**2 + 20*d - 15 = 0.
1, 3
Factor b**4/6 + 8*b**3/3 + 23*b**2/2 + 9*b.
b*(b + 1)*(b + 6)*(b + 9)/6
Factor 2*p**3/5 - 18*p**2/5 - 128*p/5 - 168/5.
2*(p - 14)*(p + 2)*(p + 3)/5
Factor 35*v**4 - 95*v**3 - 345*v**2 - 265*v - 50.
5*(v - 5)*(v + 1)**2*(7*v + 2)
Factor q**3 - 175*q**2 + 8232*q - 49392.
(q - 84)**2*(q - 7)
Determine j, given that j**2/2 - 889*j/2 - 445 = 0.
-1, 890
Factor -3*b**5 - 24*b**4 - 60*b**3 - 48*b**2.
-3*b**2*(b + 2)**2*(b + 4)
Suppose -2*q**2/11 - 5858*q/11 + 11724/11 = 0. What is q?
-2931, 2
Find v such that 3*v**4 + 126*v**3 + 465*v**2 + 342*v = 0.
-38, -3, -1, 0
Factor 5*a**3 - 1525*a**2.
5*a**2*(a - 305)
Let -16*j**4/9 - 302*j**3/9 + 358*j**2/9 - 40*j/9 = 0. Calculate j.
-20, 0, 1/8, 1
Solve 2*c**2/5 + 56*c/5 - 4026/5 = 0 for c.
-61, 33
Factor -3*y**4 + 351*y**3 - 15345*y**2 + 296949*y - 2144952.
-3*(y - 31)**3*(y - 24)
Factor -4*r**3/3 + 14*r**2/3 - 4*r/3 - 2.
-2*(r - 3)*(r - 1)*(2*r + 1)/3
Let -3*h**4/4 + 135*h**3/2 + 561*h**2/4 - 207*h = 0. What is h?
-3, 0, 1, 92
Factor -10*o**2 - 4255*o + 2130.
-5*(o + 426)*(2*o - 1)
Let -2*l**2 - 10252*l - 13137938 = 0. Calculate l.
-2563
Factor -5*j**3 + 50*j**2 - 40*j - 320.
-5*(j - 8)*(j - 4)*(j + 2)
Solve s**5 - 64*s**4 - 68*s**3 + 190*s**2 + 323*s + 130 = 0 for s.
-1, 2, 65
Determine h, given that 3*h**4 + 45*h**3 + 144*h**2 - 192*h = 0.
-8, 0, 1
Factor 10*c**5/7 - 198*c**4/7 + 948*c**3/7 - 248*c**2 + 1104*c/7.
2*c*(c - 2)**3*(5*c - 69)/7
Factor q**4/2 + 60*q**3 + 2400*q**2 + 32000*q.
q*(q + 40)**3/2
Factor -g**2/4 + 105*g - 419/4.
-(g - 419)*(g - 1)/4
Let -4*y**5/5 + 16*y**4 + 16*y**3/5 - 64*y**2 = 0. What is y?
-2, 0, 2, 20
Solve -c**2 + 464*c + 465 = 0 for c.
-1, 465
Factor -2*d**4 + 28*d**3 + 278*d**2 + 368*d - 672.
-2*(d - 21)*(d - 1)*(d + 4)**2
Solve w**3 + 8*w**2 - 12*w - 144 = 0 for w.
-6, 4
Factor -p**5 - 200*p**4 - 9798*p**3 + 20200*p**2 - 10201*p.
-p*(p - 1)**2*(p + 101)**2
Determine v so that v**3 - 4*v**2 + 3*v = 0.
0, 1, 3
Find b such that b**2/5 + 109*b/5 - 114 = 0.
-114, 5
Let 3*y**3 - 72*y**2 + 252*y - 240 = 0. Calculate y.
2, 20
Solve 9*g**3 - 12*g**2 - 39*g - 18 = 0.
-1, -2/3, 3
What is x in x**3/6 + 35*x**2/3 + 329*x/6 + 130/3 = 0?
-65, -4, -1
Factor n**4/5 + 11*n**3/5 - n**2/5 - 11*n/5.
n*(n - 1)*(n + 1)*(n + 11)/5
Determine b so that 2*b**2/11 - 2468*b/11 + 761378/11 = 0.
617
Determine p so that -2*p**5/7 - 24*p**4/7 + 244*p**3/7 - 408*p**2/7 + 190*p/7 = 0.
-19, 0, 1, 5
Determine l so that 2*l**3/5 + 4242*l**2/5 + 2247198*l/5 - 2251442/5 = 0.
-1061, 1
Find m such that m**5 - 9*m**4 + 3*m**3 + 37*m**2 + 24*m = 0.
-1, 0, 3, 8
Suppose o**3/5 - 22*o**2/5 + 89*o/5 - 68/5 = 0. What is o?
1, 4, 17
Factor 3*b**5 + 729*b**4 - 4446*b**3 + 8940*b**2 - 5976*b.
3*b*(b - 2)**3*(b + 249)
Factor 2*c**3 - 24*c**2 - 54*c - 28.
2*(c - 14)*(c + 1)**2
Factor -u**3/4 - 131*u**2/2 - 4355*u - 8450.
-(u + 2)*(u + 130)**2/4
Factor -5*y**2/4 + 40*y + 525/4.
-5*(y - 35)*(y + 3)/4
Solve -4*u**3 + 980*u**2 - 59532*u - 60516 = 0.
-1, 123
Factor -3*m**4/2 - 4*m**3 - 2*m**2.
-m**2*(m + 2)*(3*m + 2)/2
Solve 2*w**3/7 - 552*w**2/7 + 38088*w/7 = 0 for w.
0, 138
Factor -d**2/8 - 267*d/8 + 67/2.
-(d - 1)*(d + 268)/8
Determine w, given that -2*w**2/5 - 3028*w/5 - 1146098/5 = 0.
-757
Factor -a**3/5 + 12*a**2/5 + 661*a/5 - 672/5.
-(a - 32)*(a - 1)*(a + 21)/5
Let u**2/4 - 5*u/2 - 11/4 = 0. Calculate u.
-1, 11
Let k**4/4 + 9*k**3/2 - 3*k**2/4 - 13*k + 9 = 0. Calculate k.
-18, -2, 1
Determine d, given that -d**5/6 - d**4/6 + 3*d**3/2 + 13*d**2/6 - 4*d/3 - 2 = 0.
-2, -1, 1, 3
Find w such that -w**2 + 22*w + 23 = 0.
-1, 23
Factor 2*g**4/5 + 2*g**3/5 - 14*g**2/5 - 26*g/5 - 12/5.
2*(g - 3)*(g + 1)**2*(g + 2)/5
Suppose 26215*f**3 + 15764*f**2 + 2588*f + 64 = 0. What is f?
-2/7, -16/535
Factor -g**2/4 - g/4 + 5.
-(g - 4)*(g + 5)/4
Factor 4*o**2 + 20*o - 96.
4*(o - 3)*(o + 8)
Let 2*f**3/5 + 304*f**2/5 + 11552*f/5 = 0. Calculate f.
-76, 0
Find z, given that -2*z**3 - 26*z**2 - 102*z - 126 = 0.
-7, -3
Factor -3*r**2 - 138*r + 441.
-3*(r - 3)*(r + 49)
Determine s so that -2*s**2/13 - 80*s/13 + 82/13 = 0.
-41, 1
Let 2*t