**2/5
Find q such that -25*q**2 - 480*q - 540 = 0.
-18, -6/5
Determine g so that -7*g**2/3 + g/3 + 8/3 = 0.
-1, 8/7
Determine q so that -2*q**4 - 94*q**3 - 434*q**2 - 594*q - 252 = 0.
-42, -3, -1
Suppose 2*z**4/7 + 50*z**3/7 + 132*z**2/7 - 8*z/7 - 176/7 = 0. Calculate z.
-22, -2, 1
Solve -10*n**3 - 38*n**2 + 10*n + 38 = 0 for n.
-19/5, -1, 1
Factor -2*l**2/5 - 92*l + 462/5.
-2*(l - 1)*(l + 231)/5
Factor 4*n**4 - 96*n**3 + 92*n**2.
4*n**2*(n - 23)*(n - 1)
Determine c so that -c**2/2 + c + 4 = 0.
-2, 4
Factor 5*n**2 - 175*n - 180.
5*(n - 36)*(n + 1)
Factor -g**4/5 - 632*g**3/5 - 100486*g**2/5 - 39816*g - 19845.
-(g + 1)**2*(g + 315)**2/5
Find k, given that 5*k**4 + 280*k**3 + 3610*k**2 - 9280*k - 12615 = 0.
-29, -1, 3
Factor -16*o**2 - 784*o - 9604.
-4*(2*o + 49)**2
Factor 245*m**3 - 18900*m**2 - 16335*m - 3510.
5*(m - 78)*(7*m + 3)**2
Solve s**2/2 - 5*s + 21/2 = 0.
3, 7
Let 3*l**3 - 525*l**2 - 3*l + 525 = 0. Calculate l.
-1, 1, 175
Let q**2 - 174*q + 7569 = 0. What is q?
87
Factor -3*j**4 + 111*j**3 - 315*j**2 + 309*j - 102.
-3*(j - 34)*(j - 1)**3
Factor 10*o**3 + 8*o**2 - 22*o + 4.
2*(o - 1)*(o + 2)*(5*o - 1)
What is c in c**5/8 - 15*c**4/8 - 17*c**3/8 + 15*c**2/8 + 2*c = 0?
-1, 0, 1, 16
Solve -3*k**2/4 - 2331*k/2 - 1811187/4 = 0.
-777
Factor 3*y**2 + 147*y.
3*y*(y + 49)
Factor -3*r**4/4 + 39*r**3/4 - 30*r**2.
-3*r**2*(r - 8)*(r - 5)/4
Factor -u**4/5 - 8*u**3/5 + 19*u**2/5 - 2*u.
-u*(u - 1)**2*(u + 10)/5
Let -2*y**4 + 1132*y**3 = 0. What is y?
0, 566
Factor 9*n**3 - 330*n**2 + 519*n + 210.
3*(n - 35)*(n - 2)*(3*n + 1)
Find t such that -t**4/2 - 3*t**3 - t**2/2 + 12*t + 10 = 0.
-5, -2, -1, 2
Factor 4*i**3 - 1084*i**2 - 5496*i - 6624.
4*(i - 276)*(i + 2)*(i + 3)
Determine i so that 8*i**2 + 956*i + 476 = 0.
-119, -1/2
Let -8*k**4 - 364*k**3 + 188*k**2 + 184*k = 0. Calculate k.
-46, -1/2, 0, 1
Let -3*v**5/2 - 46*v**4 - 480*v**3 - 1800*v**2 - 1000*v = 0. What is v?
-10, -2/3, 0
Suppose -4*t**5 - 24*t**4 - 44*t**3 - 24*t**2 = 0. What is t?
-3, -2, -1, 0
Solve n**2 + 5348*n + 7150276 = 0.
-2674
What is c in -c**4/5 + 111*c**3/5 + 45*c**2 + 113*c/5 = 0?
-1, 0, 113
Factor -5*b**4 + 5*b**3 + 15*b**2 - 5*b - 10.
-5*(b - 2)*(b - 1)*(b + 1)**2
Factor -2*y**3/9 - 914*y**2/3 - 1826*y/3 - 2738/9.
-2*(y + 1)**2*(y + 1369)/9
What is c in c**4/4 - 55*c**3 + 9075*c**2/2 - 166375*c + 9150625/4 = 0?
55
Determine f so that 4*f**4 + 152*f**3 + 1828*f**2 + 7296*f + 9216 = 0.
-16, -3
Factor -4*k**2/9 + 676/9.
-4*(k - 13)*(k + 13)/9
Determine i, given that 9*i**4/7 + 60*i**3/7 + 36*i**2/7 = 0.
-6, -2/3, 0
Factor -3*q**3 - 18*q**2 + 255*q - 234.
-3*(q - 6)*(q - 1)*(q + 13)
Factor v**2/8 + 2339*v/4 + 5470921/8.
(v + 2339)**2/8
Factor p**4/2 + 7*p**3/2 + 9*p**2 + 10*p + 4.
(p + 1)*(p + 2)**3/2
Factor -y**4/8 - y**3/2 - y**2/4 + y/2 + 3/8.
-(y - 1)*(y + 1)**2*(y + 3)/8
Factor 2*l**4 + 136*l**3 - 566*l**2 + 716*l - 288.
2*(l - 2)*(l - 1)**2*(l + 72)
Find b, given that 14*b**5/9 - 94*b**4/9 + 14*b**3/3 + 118*b**2/9 - 56*b/9 - 8/3 = 0.
-1, -2/7, 1, 6
Factor -2*b**4/17 + 12*b**3/17 - 18*b**2/17 + 8*b/17.
-2*b*(b - 4)*(b - 1)**2/17
Factor -6*w**4 - 22*w**3 - 24*w**2 - 8*w.
-2*w*(w + 1)*(w + 2)*(3*w + 2)
Determine y so that 4*y**2 + 80*y + 300 = 0.
-15, -5
Factor 5*v**3 + 165*v**2.
5*v**2*(v + 33)
Determine v so that 6*v**3 - 15*v**2 - 9*v = 0.
-1/2, 0, 3
Determine b so that -3*b**5/8 - 21*b**4 - 438*b**3 - 4128*b**2 - 16896*b - 24576 = 0.
-16, -4
Determine y so that 3*y**5 + 30*y**4 + 93*y**3 + 66*y**2 - 96*y - 96 = 0.
-4, -2, -1, 1
Find r, given that -3*r**3 - 105*r**2 - 102*r = 0.
-34, -1, 0
Determine z, given that z**2/6 - 2*z + 11/6 = 0.
1, 11
Suppose -b**2/6 - 68*b/3 = 0. What is b?
-136, 0
Factor -4*t**4 - 2520*t**3 - 394372*t**2 + 796320*t - 399424.
-4*(t - 1)**2*(t + 316)**2
Factor -14*g**2/11 + 102*g/11 - 108/11.
-2*(g - 6)*(7*g - 9)/11
Solve -5*w**3 + 370*w**2 - 7200*w + 12960 = 0 for w.
2, 36
Factor -v**4/7 - 25*v**3/7 - 69*v**2/7 - 67*v/7 - 22/7.
-(v + 1)**3*(v + 22)/7
Let 143433680*i**2 - 160680*i + 45 = 0. Calculate i.
3/5356
Factor s**3 - 2*s**2 - 3*s.
s*(s - 3)*(s + 1)
Factor s**5 - 21*s**4 + 74*s**3 - 106*s**2 + 69*s - 17.
(s - 17)*(s - 1)**4
Factor 4*t**4/3 + 116*t**3/3 - 160*t**2/3 - 17600*t/3.
4*t*(t - 11)*(t + 20)**2/3
Factor 2*w**5/7 + 40*w**4/7 + 200*w**3/7.
2*w**3*(w + 10)**2/7
Determine i, given that -i**4/2 - 7*i**3 + 7*i**2/2 + 52*i + 42 = 0.
-14, -2, -1, 3
Solve -2*t**2 + 32*t - 30 = 0 for t.
1, 15
Factor 33*o**3 + 63*o**2 - 108*o.
3*o*(o + 3)*(11*o - 12)
Find u such that 2*u**5/19 - 2*u**4/19 - 1804*u**3/19 - 1796*u**2/19 + 1802*u/19 + 1798/19 = 0.
-29, -1, 1, 31
Factor -2*c**4/13 - 114*c**3/13 - 636*c**2/13 - 1240*c/13 - 816/13.
-2*(c + 2)**3*(c + 51)/13
Solve -p**4/2 + 9*p**3/2 + 21*p**2/2 + 11*p/2 = 0.
-1, 0, 11
What is r in 5*r**2 + 80*r + 195 = 0?
-13, -3
What is m in 3*m**3 - 21*m**2 + 45*m - 27 = 0?
1, 3
Factor -5*y**3 - 20*y**2 + 55*y + 150.
-5*(y - 3)*(y + 2)*(y + 5)
Factor -n**2 + 33*n - 272.
-(n - 17)*(n - 16)
Factor 2*t**4/11 + 224*t**3/11 + 7808*t**2/11 + 86016*t/11 + 294912/11.
2*(t + 8)**2*(t + 48)**2/11
Suppose 3*g**4/5 - 72*g**3/5 + 327*g**2/5 + 558*g/5 - 816/5 = 0. What is g?
-2, 1, 8, 17
Determine g, given that -9*g**3/7 - 3*g**2 + 30*g + 72/7 = 0.
-6, -1/3, 4
Find s, given that -s**2/2 + 83*s - 6889/2 = 0.
83
Factor -5*c**2 + 2380*c - 283220.
-5*(c - 238)**2
Factor -o**2 - 143*o/3 + 196/3.
-(o + 49)*(3*o - 4)/3
Factor -3232*b**4 + 9700*b**3 - 12*b**2.
-4*b**2*(b - 3)*(808*b - 1)
Factor -s**2 + 2429*s/4 - 607/4.
-(s - 607)*(4*s - 1)/4
Let -2*c**2/3 - 1456*c/3 - 264992/3 = 0. What is c?
-364
Factor -c**2/3 + 70*c/3 - 23.
-(c - 69)*(c - 1)/3
What is w in -w**4/7 - 66*w**3/7 - 1413*w**2/7 - 10692*w/7 - 26244/7 = 0?
-27, -6
Solve -i**2/8 - 19*i/4 + 795/8 = 0 for i.
-53, 15
Factor -4*q**3/7 + 12*q**2 - 32*q + 144/7.
-4*(q - 18)*(q - 2)*(q - 1)/7
Solve y**5 - 121*y**4 + 4847*y**3 - 71159*y**2 + 313248*y + 389376 = 0.
-1, 13, 48
Factor -i**5/4 + 43*i**4 - 3947*i**3/2 + 10707*i**2 - 62001*i/4.
-i*(i - 83)**2*(i - 3)**2/4
Factor -5*r**2/3 + 5*r/3 + 570.
-5*(r - 19)*(r + 18)/3
Factor -2*k**3/13 - 136*k**2/13 + 278*k/13 - 140/13.
-2*(k - 1)**2*(k + 70)/13
Suppose -i**3/5 - 27*i**2/5 - 24*i/5 + 52/5 = 0. What is i?
-26, -2, 1
Find s, given that s**5/4 - 13*s**4/4 + 21*s**3/4 + 13*s**2/4 - 11*s/2 = 0.
-1, 0, 1, 2, 11
Determine a, given that 15*a**4 - 20556*a**3 + 8220*a**2 = 0.
0, 2/5, 1370
Suppose 4*q**5 - 12*q**4 - 4*q**3 + 28*q**2 - 16 = 0. What is q?
-1, 1, 2
Suppose -2*k**3 - 378*k**2 - 16878*k + 94090 = 0. Calculate k.
-97, 5
Factor 2*a**2 + 164*a.
2*a*(a + 82)
Let k**4/6 - 13*k**3/6 + 4*k**2/3 + 26*k/3 - 8 = 0. Calculate k.
-2, 1, 2, 12
Suppose -4*t**3 - 200*t**2 - 736*t = 0. Calculate t.
-46, -4, 0
Factor 5*o**4 - 285*o**3 + 4465*o**2 - 11475*o + 7290.
5*(o - 27)**2*(o - 2)*(o - 1)
Factor 4*v**2 + 728*v + 4224.
4*(v + 6)*(v + 176)
Factor 2*a**5/13 - 98*a**4/13 + 980*a**3/13 + 12348*a**2/13 - 129654*a/13 - 907578/13.
2*(a - 21)**3*(a + 7)**2/13
Factor -t**2 - 930*t - 216225.
-(t + 465)**2
Factor -p**4/3 - 3*p**3 - 22*p**2/3 + 32/3.
-(p - 1)*(p + 2)*(p + 4)**2/3
Let -4*l**2/5 - 416*l/5 - 412/5 = 0. What is l?
-103, -1
Determine t so that -t**5/2 + 69*t**4/2 + 141*t**3/2 + 71*t**2/2 = 0.
-1, 0, 71
Suppose 4*p**4 - 10*p**3 + 8*p**2 - 2*p = 0. What is p?
0, 1/2, 1
What is b in 3*b**2 - 5223*b/7 - 1494/7 = 0?
-2/7, 249
What is r in 900*r**4 + 2760*r**3 - 3344*r**2 - 11552*r = 0?
-38/15, 0, 2
Let 4*a**5/9 + 50*a**4 + 13208*a**3/9 + 31132*a**2/9 + 8140*a/3 + 6050/9 = 0. Calculate a.
-55, -1, -1/2
Factor -30*k**3 - 236*k**2 - 178*k + 28.
-2*(k + 1)*(k + 7)*(15*k - 2)
Suppose -4*q**2 - 180*q + 784 = 0. What is q?
-49, 4
Factor 35*c**2 - 850*c - 1560.
5*(c - 26)*(7*c + 12)
Solve 4*f**4 - 124*f**3 - 852*f**2 - 1332*f = 0.
-3, 0, 37
Factor a**3 - 12*a**2 + 45*a - 50.
(a - 5)**2*(a - 2)
Factor -u**2 + 1610*u - 648025.
-(u - 805)**2
Suppose -12*s**4 - 104*s**3 - 268*s**2 - 256*s - 80 = 0. Calculate s.
-5, -2, -1, -2/3
Determine t so that -8*t**5/5 - 4*t**4/5 + 56*t**3/5 + 76*t**2/5 + 24*t/5 = 0.
-2, -1, -1/2, 0, 3
Find u such that -289*u**3/4 - 1785*u**2/4 - 1647*u/4 + 3721/4 = 0.
-61/17, 1
Factor 2*l**3/7 - 104*l**2/7 + 570*l/7 - 828/7.
2*(l - 46)*(l - 3)**2/7
Factor -14*a**3 + 115*a**2 - 122*a + 21.
-(a - 7)*(a - 1)*(14*a - 3)
Suppose -m**5/5 