Let -42*a**2 + 297*a - 21 = 0. Calculate a.
1/14, 7
Factor -4*i**3 + 68*i**2 - 252*i - 324.
-4*(i - 9)**2*(i + 1)
What is o in -3*o**4 - o**3 + 9*o**2 - 3*o - 2 = 0?
-2, -1/3, 1
Factor 21*u**3 - 4185*u**2 - 29088*u + 8652.
3*(u - 206)*(u + 7)*(7*u - 2)
Factor -3*o**4 + 13*o**3 + 92*o**2 - 32*o.
-o*(o - 8)*(o + 4)*(3*o - 1)
Suppose -3*r**4 - 27*r**3 + 189*r**2 - 285*r + 126 = 0. Calculate r.
-14, 1, 3
Determine i, given that -4*i**3 + 888*i**2 - 1764*i + 880 = 0.
1, 220
Solve -18*n**3/11 + 152*n**2/11 - 32*n + 128/11 = 0 for n.
4/9, 4
Determine p, given that -2*p**3/13 - 6*p**2/13 + 50*p/13 - 42/13 = 0.
-7, 1, 3
Factor -75*c**3 + 15*c**2 + 63*c - 27.
-3*(c + 1)*(5*c - 3)**2
Factor y**5/5 - 4*y**4/5 - 12*y**3/5 - 2*y**2/5 + 11*y/5 + 6/5.
(y - 6)*(y - 1)*(y + 1)**3/5
Let -3*h**5/7 + 279*h**4/7 - 6621*h**3/7 + 867*h**2 + 6624*h/7 - 6348/7 = 0. What is h?
-1, 1, 46
Solve -h**5 - 17*h**4 + 60*h**3 = 0.
-20, 0, 3
Factor 2*c**3/5 - 106*c**2/5 + 582*c/5 - 846/5.
2*(c - 47)*(c - 3)**2/5
Find i such that 6*i**3 + 399*i**2 + 579*i - 390 = 0.
-65, -2, 1/2
Determine m, given that -2*m**5/11 - 92*m**4/11 - 1344*m**3/11 - 5120*m**2/11 + 16384*m/11 = 0.
-16, 0, 2
Factor g**2/3 + 23*g - 142/3.
(g - 2)*(g + 71)/3
Let -r**4/6 + r**3/6 + r**2/3 = 0. Calculate r.
-1, 0, 2
Solve q**4 + 14*q**3 + 24*q**2 = 0.
-12, -2, 0
What is o in -2*o**4/9 + 22*o**3/9 - 6*o**2 + 50*o/9 - 16/9 = 0?
1, 8
Solve -3*t**3 - 1917*t**2 - 408321*t - 28990791 = 0 for t.
-213
Factor -20*m**3 + 455*m**2 + 130*m - 345.
-5*(m - 23)*(m + 1)*(4*m - 3)
Factor -2*m**3 - 562*m**2 + 1130*m - 566.
-2*(m - 1)**2*(m + 283)
Factor 4*p**4 - 4*p**3 - 4*p**2 + 4*p.
4*p*(p - 1)**2*(p + 1)
Determine o, given that -o**3 + 75*o**2 + o - 75 = 0.
-1, 1, 75
Factor 3*m**3/8 - 69*m**2/4 - 285*m/8 - 18.
3*(m - 48)*(m + 1)**2/8
Factor -a**2/3 + 76*a - 452/3.
-(a - 226)*(a - 2)/3
Factor -3*u**4/8 + 33*u**3/8 + 117*u**2/8 + 123*u/8 + 21/4.
-3*(u - 14)*(u + 1)**3/8
Solve -2*v**3 - 382*v**2 - 18430*v - 18050 = 0.
-95, -1
Factor 2*j**3 - 14*j**2 + 22*j - 10.
2*(j - 5)*(j - 1)**2
Suppose u**2/6 + u + 4/3 = 0. Calculate u.
-4, -2
Let 3*a**2 - 1908*a + 303372 = 0. Calculate a.
318
What is u in -u**5 - 8*u**4 - 24*u**3 - 32*u**2 - 16*u = 0?
-2, 0
Factor -2*f**4/9 - 28*f**3/3 + 86*f**2/9.
-2*f**2*(f - 1)*(f + 43)/9
Factor 4*g**4/9 + 4*g**3/3 + 4*g**2/9 - 4*g/3 - 8/9.
4*(g - 1)*(g + 1)**2*(g + 2)/9
Let s**2/5 + 3447*s/5 + 3446/5 = 0. What is s?
-3446, -1
Factor r**4 + 61*r**3 + 177*r**2 + 175*r + 58.
(r + 1)**3*(r + 58)
Solve -2*u**5/5 - 9*u**4/5 + 29*u**3/5 + 63*u**2/5 - 27*u/5 - 54/5 = 0.
-6, -3/2, -1, 1, 3
Solve 2*q**4/7 - 2584*q**3/7 + 832044*q**2/7 + 1671848*q/7 + 837218/7 = 0.
-1, 647
Determine v, given that v**3/5 + 23*v**2/5 + 22*v/5 = 0.
-22, -1, 0
Let 5*o**3/2 - 21*o**2/2 - 21*o/2 + 5/2 = 0. Calculate o.
-1, 1/5, 5
Factor -k**3 + 3*k**2 + 49*k - 147.
-(k - 7)*(k - 3)*(k + 7)
Solve -h**3/6 - 5*h**2/3 - 14*h/3 - 4 = 0.
-6, -2
Factor -4*q**3 + 4704*q**2 - 1843968*q + 240945152.
-4*(q - 392)**3
Factor -3*f**2 + 696*f + 699.
-3*(f - 233)*(f + 1)
Let 4*c**2/3 - 76*c/3 + 352/3 = 0. What is c?
8, 11
Find w, given that -5*w**5 - 50*w**4 - 90*w**3 + 320*w**2 + 575*w - 750 = 0.
-5, -3, 1, 2
Let 22*k**4/5 - 4*k**3/5 - 22*k**2/5 + 4*k/5 = 0. Calculate k.
-1, 0, 2/11, 1
Suppose -9*o**5 - 96*o**4 + 33*o**3 = 0. What is o?
-11, 0, 1/3
Find m, given that -m**3 + 286*m**2 - 20449*m = 0.
0, 143
Factor 2*d**2/3 - 82*d/9 - 28/9.
2*(d - 14)*(3*d + 1)/9
Factor -3*q**3 - 36*q**2 - 108*q.
-3*q*(q + 6)**2
What is u in -3*u**4 - 423*u**3 - 1242*u**2 + 12*u + 1656 = 0?
-138, -2, 1
Find v, given that v**5/2 - 6*v**4 - 9*v**3 + 358*v**2 - 2919*v/2 + 1764 = 0.
-8, 3, 7
What is z in -3*z**2 + 99*z = 0?
0, 33
Factor j**2 - 9*j/2 - 5/2.
(j - 5)*(2*j + 1)/2
Factor -2*n**2/3 - 456*n - 77976.
-2*(n + 342)**2/3
Factor 3*d**2/5 + 831*d/5.
3*d*(d + 277)/5
Factor 2*p**5/11 - 58*p**4/11 + 500*p**3/11 - 1172*p**2/11 + 1066*p/11 - 338/11.
2*(p - 13)**2*(p - 1)**3/11
Solve 3*z**3 - 369*z**2 - 372*z = 0.
-1, 0, 124
Factor -2*w**3/11 + 30*w**2/11 - 54*w/11 + 26/11.
-2*(w - 13)*(w - 1)**2/11
Find w, given that -w**5 - 93*w**4 - 359*w**3 - 263*w**2 + 360*w + 356 = 0.
-89, -2, -1, 1
Find p such that -20*p**2 + 28835*p + 7210 = 0.
-1/4, 1442
Factor q**2/9 + 37*q/9 - 38/9.
(q - 1)*(q + 38)/9
What is q in q**2/5 - 24*q + 2079/5 = 0?
21, 99
Suppose -3*y**2 - 81*y = 0. Calculate y.
-27, 0
Find k such that -3*k**2/2 + 267*k/2 = 0.
0, 89
Factor -5*n**4 - 685*n**3 + 1385*n**2 - 695*n.
-5*n*(n - 1)**2*(n + 139)
Factor -a**2/4 - 5*a/2 - 6.
-(a + 4)*(a + 6)/4
Factor 5*r**3 + 31365*r**2 + 65584215*r + 45712197855.
5*(r + 2091)**3
Factor 5*n**4 - 1970*n**3 + 190065*n**2 + 784060*n + 792020.
5*(n - 199)**2*(n + 2)**2
Factor 3*d**2 - 99*d + 96.
3*(d - 32)*(d - 1)
Find d, given that -d**3/4 - 69*d**2/4 - 1155*d/4 + 1225/4 = 0.
-35, 1
Factor 4*z**2 + 112*z.
4*z*(z + 28)
Factor 4*z**5 - 92*z**4 + 664*z**3 - 1088*z**2 - 3584*z + 4096.
4*(z - 8)**3*(z - 1)*(z + 2)
Factor -4*m**2/5 + 464*m/5 - 13456/5.
-4*(m - 58)**2/5
Factor 4*s**2/7 + 144*s/7 - 148/7.
4*(s - 1)*(s + 37)/7
What is j in j**2 - 26*j - 3552 = 0?
-48, 74
Solve 2*a**5/11 + 26*a**4/11 + 6*a**3 + 62*a**2/11 + 20*a/11 = 0.
-10, -1, 0
Factor -3*u**2/2 + 102*u - 201/2.
-3*(u - 67)*(u - 1)/2
Factor 3*g**2 - 21*g - 180.
3*(g - 12)*(g + 5)
Let -c**2 - 389*c + 1970 = 0. What is c?
-394, 5
Suppose -z**4 + 17*z**3 - 105*z**2 + 275*z - 250 = 0. Calculate z.
2, 5
Factor 2*v**2/17 + 14*v/17 - 2496/17.
2*(v - 32)*(v + 39)/17
Let -15*d**2 - 2799*d + 1122 = 0. What is d?
-187, 2/5
Factor 2*f**3/5 - 24*f**2/5 + 42*f/5 - 4.
2*(f - 10)*(f - 1)**2/5
Solve 3*z**4 - 114*z**3 + 1188*z**2 - 1944*z = 0.
0, 2, 18
Factor 2*x**2 - 68*x - 1222.
2*(x - 47)*(x + 13)
Factor m**3/3 - 4*m**2 + 29*m/3 - 6.
(m - 9)*(m - 2)*(m - 1)/3
Suppose -w**4/4 - 91*w**3 = 0. Calculate w.
-364, 0
Let 2*j**4/13 - 32*j**3/13 + 174*j**2/13 - 360*j/13 + 216/13 = 0. Calculate j.
1, 3, 6
Factor -2*o**3/3 - 24*o**2 - 238*o - 1156/3.
-2*(o + 2)*(o + 17)**2/3
Factor -4*q**3 - 1368*q**2 - 155952*q - 5926176.
-4*(q + 114)**3
Solve -5*y**3 - 1380*y**2 - 126960*y - 3893440 = 0.
-92
Find g such that 4*g**4 + 76*g**3 - 388*g**2 - 460*g = 0.
-23, -1, 0, 5
Solve -5*n**4 + 8*n**3 + 19*n**2 + 6*n = 0 for n.
-1, -2/5, 0, 3
Find p such that -16*p**2 + 1940*p - 2400 = 0.
5/4, 120
Solve -m**4 - 160*m**3 + 161*m**2 = 0 for m.
-161, 0, 1
Find d such that -4*d**3 - 60*d**2 - 152*d - 96 = 0.
-12, -2, -1
Factor 3362*s**3/5 - 164*s**2/5 + 2*s/5.
2*s*(41*s - 1)**2/5
Factor -5*n**2 + 2090*n - 218405.
-5*(n - 209)**2
What is y in -y**3 - 20*y**2 = 0?
-20, 0
Factor 4*u**2 - 220*u - 1464.
4*(u - 61)*(u + 6)
Let -5*u**4 + 185*u**3 - 1605*u**2 - 2185*u + 3610 = 0. What is u?
-2, 1, 19
Suppose f**2/5 + 617*f/5 - 372 = 0. Calculate f.
-620, 3
Factor 12*v**2 + 6452*v/3 + 1432/3.
4*(v + 179)*(9*v + 2)/3
What is k in 4*k**4 - 4*k**3 - 32*k**2 + 48*k = 0?
-3, 0, 2
Factor -2*v**3/13 - 5258*v**2/13.
-2*v**2*(v + 2629)/13
Factor 20*b**2 + 288*b - 1296.
4*(b + 18)*(5*b - 18)
Let -5*u**2 - 22800*u - 25992000 = 0. What is u?
-2280
Solve -136*v**2/7 + 4*v/7 = 0.
0, 1/34
Find z, given that -7*z**4/5 + 4*z**3/5 + 17*z**2/5 + 6*z/5 = 0.
-1, -3/7, 0, 2
Find f, given that 2*f**3 - 36*f**2 + 34*f = 0.
0, 1, 17
Factor 3*m**3/4 - 63*m**2/2 + 405*m - 1458.
3*(m - 18)**2*(m - 6)/4
Find m such that 3*m**2 + 75*m + 138 = 0.
-23, -2
Factor z**3/4 + 33*z**2 - 541*z/4 + 102.
(z - 3)*(z - 1)*(z + 136)/4
Factor -4*w**5 - 32*w**4 - 72*w**3 + 108*w.
-4*w*(w - 1)*(w + 3)**3
Factor -2*i**3 - 242*i**2 - 7198*i + 7442.
-2*(i - 1)*(i + 61)**2
Suppose -3*a**5 + 12*a**3 + 6*a**2 - 9*a - 6 = 0. What is a?
-1, 1, 2
Factor 28*q**2 + 956*q - 840.
4*(q + 35)*(7*q - 6)
Factor 10*b**2 - 2864*b + 1144.
2*(b - 286)*(5*b - 2)
Suppose 3*n**2/4 + 55*n - 37 = 0. Calculate n.
-74, 2/3
Let -2*b**2 + 588*b + 590 = 0. Calculate b.
-1, 295
Factor 52*f**2 + 200*f - 32.
4*(f + 4)*(13*f - 2)
Factor -3*h**4/5 + 18*h**3 + 288*h**2/5 + 294*h/5 + 99/5.
-3*(h - 33)*(h + 1)**3/5
Find s such that 1083*s**2 - 7410*s + 12675 = 0.
65/19
Solve 2*i**3/11 + 202*i**2/11 - 8*i/11 - 808/11 = 0 for i.
-101, -2, 2
Determine v, given that v**4 + 11*v**3 - 4*v**2 - 44*v = 0.
-11, -2, 0, 2
Determine a so that -14*a**3/5 - 704*a**2/5 - 40*a = 0.
-50, -2/7, 0
Factor -2*w**2/7 + 170*w/7 