2 - 12*b = 0.
-6, 0, 1
Find r such that 5*r**5 - 5*r**4 - 25*r**3 - 15*r**2 = 0.
-1, 0, 3
Suppose 3*n**2/8 - 351*n/4 - 705/8 = 0. Calculate n.
-1, 235
Factor 4*w**4 - 35*w**3 + 87*w**2 - 40*w - 16.
(w - 4)**2*(w - 1)*(4*w + 1)
Factor -2*z**5 - 14*z**4 + 34*z**3 - 18*z**2.
-2*z**2*(z - 1)**2*(z + 9)
Determine t so that 2*t**4 + 474*t**3 + 470*t**2 - 474*t - 472 = 0.
-236, -1, 1
Solve d**3/5 - d**2 - 286*d/5 - 56 = 0.
-14, -1, 20
Suppose t**3/4 + 1065*t**2/2 = 0. What is t?
-2130, 0
Determine f, given that -98*f**3/17 + 434*f**2/17 - 624*f/17 + 288/17 = 0.
1, 12/7
Solve -2*k**5/11 + 256*k**4/11 - 1962*k**3/11 + 5084*k**2/11 - 5296*k/11 + 1920/11 = 0 for k.
1, 2, 4, 120
Suppose -o**3/4 + 11*o**2/4 + 14*o + 15 = 0. What is o?
-2, 15
Factor 4*x**2 + 168*x + 1764.
4*(x + 21)**2
Let -k**4 - 36*k**3 + 4*k**2 + 144*k = 0. Calculate k.
-36, -2, 0, 2
Factor -5*m**4 - 25*m**3 - 45*m**2 - 35*m - 10.
-5*(m + 1)**3*(m + 2)
Suppose -9*q**4 + 2067*q**3 + 4889*q**2 - 3947*q + 696 = 0. Calculate q.
-3, 1/3, 232
Factor -4*i**4/5 + 36*i**3 - 2112*i**2/5 + 1936*i/5.
-4*i*(i - 22)**2*(i - 1)/5
Factor 5*q**3 - 135*q**2 - 965*q - 825.
5*(q - 33)*(q + 1)*(q + 5)
Factor 3*c**3/4 - 15*c**2.
3*c**2*(c - 20)/4
Factor -3*q**3/2 - 117*q**2/2 - 390*q + 450.
-3*(q - 1)*(q + 10)*(q + 30)/2
Factor -2*k**3/9 + 44*k**2/9 + 94*k/9 + 16/3.
-2*(k - 24)*(k + 1)**2/9
What is j in j**3/2 - 17*j**2 + 319*j/2 - 255 = 0?
2, 15, 17
Determine r, given that 50*r**4 - 195*r**3 - 2570*r**2 - 4755*r - 450 = 0.
-3, -1/10, 10
Solve 2*z**2/7 + 30*z/7 + 4 = 0 for z.
-14, -1
Factor 3*r**3 + 1758*r**2 + 259296*r + 511584.
3*(r + 2)*(r + 292)**2
Factor 2*k**4 - 4*k**3 - 48*k**2 + 100*k - 50.
2*(k - 5)*(k - 1)**2*(k + 5)
Determine g so that 2*g**2/7 - 6*g = 0.
0, 21
Determine r, given that -3*r**2 + 14*r - 8 = 0.
2/3, 4
Let -15*o**5 - 89*o**4/2 - 17*o**3 + 77*o**2/2 + 32*o + 6 = 0. What is o?
-2, -1, -2/3, -3/10, 1
Factor -3*v**2 - 135*v.
-3*v*(v + 45)
Determine g so that -4*g**3/9 - 388*g**2/9 + 6020*g/9 - 7252/3 = 0.
-111, 7
Factor 2*k**5 + 248*k**4 - 2080*k**3 + 4224*k**2.
2*k**2*(k - 4)**2*(k + 132)
Factor 5*a**2 + 10*a + 5.
5*(a + 1)**2
What is m in -32*m**2 + 44*m = 0?
0, 11/8
Factor -5*a**3 + 90*a**2 - 85*a.
-5*a*(a - 17)*(a - 1)
Factor -4*o**2 + 164*o - 456.
-4*(o - 38)*(o - 3)
Let 5*c**4 - 290*c**3 + 5700*c**2 - 39710*c + 34295 = 0. What is c?
1, 19
Factor -3*u**4/5 + 939*u**3 + 4698*u**2/5.
-3*u**2*(u - 1566)*(u + 1)/5
Find m such that -m**5/3 - 7*m**4/3 - m**3 + 23*m**2/3 + 32*m/3 + 4 = 0.
-6, -1, 2
Factor 5*g**4 - 28*g**3 - 47*g**2 - 14*g.
g*(g - 7)*(g + 1)*(5*g + 2)
Suppose 2*z**3/11 + 76*z**2/11 + 640*z/11 - 1600/11 = 0. Calculate z.
-20, 2
What is b in 42*b**3/13 + 296*b**2/13 + 266*b/13 + 12/13 = 0?
-6, -1, -1/21
Solve -32*a**4/9 + 8624*a**3/9 + 2414*a**2 + 9244*a/9 + 1088/9 = 0.
-2, -1/4, 272
Determine t, given that -4*t**2/5 + 27*t/5 - 18/5 = 0.
3/4, 6
Let 2*m**5 - 74*m**4/5 + 138*m**3/5 - 94*m**2/5 + 4*m = 0. Calculate m.
0, 2/5, 1, 5
Factor -3*f**3/4 - 182*f**2 - 1207*f/4 - 241/2.
-(f + 1)*(f + 241)*(3*f + 2)/4
Suppose -33*m**5 - 336*m**4 + 765*m**3 + 480*m**2 - 732*m - 144 = 0. What is m?
-12, -1, -2/11, 1, 2
Factor -w**4/3 + 347*w**3/3 + 697*w**2/3 + 349*w/3.
-w*(w - 349)*(w + 1)**2/3
Suppose 2*o**4/3 + 8*o**3/3 - 2*o**2 - 12*o = 0. What is o?
-3, 0, 2
Determine x so that 2*x**5/11 - 10*x**4/11 - 42*x**3/11 + 106*x**2/11 - 56*x/11 = 0.
-4, 0, 1, 7
Suppose -v**4 + 7*v**3 + 19*v**2 - 163*v + 210 = 0. Calculate v.
-5, 2, 3, 7
What is v in -2*v**4/19 + 412*v**3/19 - 21216*v**2/19 - 412*v/19 + 21218/19 = 0?
-1, 1, 103
Suppose 5*p**3 - 75*p**2 + 315*p - 245 = 0. What is p?
1, 7
Let 3*s**3/5 + 6*s**2 - 72*s/5 = 0. What is s?
-12, 0, 2
Factor 4*q**3 + 1452*q**2 + 5760*q + 5744.
4*(q + 2)**2*(q + 359)
Suppose -2*c**5/7 + 10*c**4/7 + 8*c**3 - 64*c**2/7 = 0. Calculate c.
-4, 0, 1, 8
Factor 3*x**4 + 18*x**3 - 45*x**2 + 24*x.
3*x*(x - 1)**2*(x + 8)
Suppose 20*p**2 - 6228*p + 2488 = 0. Calculate p.
2/5, 311
Factor 5*m**4 + 360*m**3 + 7160*m**2 + 24480*m + 23120.
5*(m + 2)**2*(m + 34)**2
Factor 3*r**2 + 1238*r + 824.
(r + 412)*(3*r + 2)
Determine r so that -4*r**5 + 28*r**4 - 68*r**3 + 68*r**2 - 24*r = 0.
0, 1, 2, 3
Let -2*g**2/9 - 22*g/3 + 140/9 = 0. Calculate g.
-35, 2
Suppose 5*z**3 - 450*z**2 + 10125*z = 0. Calculate z.
0, 45
Factor 3*w**3 + 108*w**2 + 1023*w + 2178.
3*(w + 3)*(w + 11)*(w + 22)
Factor 3*i**3/2 + 15*i**2 - 36*i.
3*i*(i - 2)*(i + 12)/2
Determine q so that -3*q**5 - 6*q**4 + 12*q**3 + 6*q**2 - 9*q = 0.
-3, -1, 0, 1
Factor -4*j**3 - 84*j**2 - 288*j - 272.
-4*(j + 2)**2*(j + 17)
Suppose f**2/4 + 29*f/4 - 15/2 = 0. Calculate f.
-30, 1
Find w, given that 5*w**3 - 210*w**2 + 2700*w - 9720 = 0.
6, 18
Determine o so that -4*o**2/3 + 49064*o/3 - 150454756/3 = 0.
6133
Solve -9*g**3/4 - 2019*g**2/4 - 28054*g + 28561 = 0.
-338/3, 1
Let -2*y**3 + 2*y**2 + 50*y - 50 = 0. Calculate y.
-5, 1, 5
Find a such that 2*a**4/11 - 3636*a**3/11 + 1652560*a**2/11 + 3636*a/11 - 1652562/11 = 0.
-1, 1, 909
Find t, given that t**5/7 - 2*t**4/7 - 4*t**3/7 + 2*t**2/7 + 3*t/7 = 0.
-1, 0, 1, 3
Factor -3*b**4 - 102*b**3 - 1080*b**2 - 2592*b + 10368.
-3*(b - 2)*(b + 12)**3
Solve -2*v**3 - 472*v**2 - 31610*v - 427716 = 0 for v.
-109, -18
Factor -2*a**3 - 34*a**2 + 40*a + 72.
-2*(a - 2)*(a + 1)*(a + 18)
Factor 2*g**3/7 - 22*g**2/7.
2*g**2*(g - 11)/7
Factor 6*q**3 - 1066*q**2 - 1430*q - 358.
2*(q - 179)*(q + 1)*(3*q + 1)
Suppose 841*n**4/9 + 4466*n**3/9 + 4189*n**2/9 - 1540*n/3 + 100 = 0. Calculate n.
-3, 10/29
Factor 2*n**2/5 + 90*n.
2*n*(n + 225)/5
Factor 2*k**3/13 + 2014*k**2/13 + 506016*k/13 - 508032/13.
2*(k - 1)*(k + 504)**2/13
Factor -z**5/2 - 35*z**4/2 - 429*z**3/2 - 2057*z**2/2 - 1331*z.
-z*(z + 2)*(z + 11)**3/2
What is w in 9*w**4/5 - 178*w**3/5 + 217*w**2 - 400*w - 100 = 0?
-2/9, 5, 10
Factor -5*d**2 + 350*d - 5720.
-5*(d - 44)*(d - 26)
What is b in -4*b**4/9 - 100*b**3/9 + 220*b**2/9 + 100*b/9 - 24 = 0?
-27, -1, 1, 2
Factor -v**2/7 + 1838*v/7 - 844561/7.
-(v - 919)**2/7
Factor s**3/7 + 83*s**2/7.
s**2*(s + 83)/7
What is i in 15*i**4 - 786*i**3 - 483*i**2 + 318*i = 0?
-1, 0, 2/5, 53
Factor z**2/2 - 275*z/2 - 417.
(z - 278)*(z + 3)/2
Find t such that -t**5/6 - 8*t**4/3 - 79*t**3/6 - 56*t**2/3 + 40*t/3 + 64/3 = 0.
-8, -4, -1, 1
Find c, given that -2*c**3/3 - 532*c**2/3 + 178*c = 0.
-267, 0, 1
Determine k so that -6*k**4 - 513*k**3 - 10305*k**2 + 28248*k - 17424 = 0.
-44, 1, 3/2
What is i in 2*i**2/5 - 46*i/5 + 84/5 = 0?
2, 21
Let c**3 + 13*c**2 - 29*c + 15 = 0. What is c?
-15, 1
What is n in -6*n**3/7 - 2*n**2/7 + 16*n/7 - 8/7 = 0?
-2, 2/3, 1
Factor 2*n**2/11 - 52*n/11 - 54/11.
2*(n - 27)*(n + 1)/11
Let -2*v**3/9 - 304*v**2/9 - 1762*v/9 - 1460/9 = 0. Calculate v.
-146, -5, -1
Factor d**3/7 - 102*d**2/7 + 2700*d/7 - 5000/7.
(d - 50)**2*(d - 2)/7
Suppose 4*n**3 + 544*n**2 - 4*n - 544 = 0. What is n?
-136, -1, 1
Factor -2*a**2/5 + 3894*a/5 - 3892/5.
-2*(a - 1946)*(a - 1)/5
Factor y**2/8 - 64*y + 1527/8.
(y - 509)*(y - 3)/8
Find o, given that -4*o**2/7 - 164*o/7 - 592/7 = 0.
-37, -4
Solve -4*d**5 + 8*d**4 + 12*d**3 - 16*d**2 - 16*d = 0.
-1, 0, 2
Find d, given that 2*d**4/3 + 2*d**3 - 56*d**2/3 = 0.
-7, 0, 4
Factor s**2/7 - 6*s/7.
s*(s - 6)/7
Factor -2*l**2/11 + 1324*l/11 - 219122/11.
-2*(l - 331)**2/11
Find g such that -12*g**4 - 310*g**3 - 1638*g**2 + 4704*g - 2744 = 0.
-14, 1, 7/6
Factor -3*u**5/7 - 9*u**4/7 + 27*u**3/7 - 15*u**2/7.
-3*u**2*(u - 1)**2*(u + 5)/7
Factor 246*o**2 + 1221*o - 45.
3*(o + 5)*(82*o - 3)
Factor 4*s**2 + 866*s + 1290.
2*(s + 215)*(2*s + 3)
Factor -3*o**2/4 - 6*o + 36.
-3*(o - 4)*(o + 12)/4
Factor 3*c**4/2 - 6*c**3 + 15*c**2/2 - 3*c.
3*c*(c - 2)*(c - 1)**2/2
Suppose -3*o**2/2 - 45*o/2 + 189 = 0. Calculate o.
-21, 6
Factor -7*o**2/4 + 137*o/4 - 65/2.
-(o - 1)*(7*o - 130)/4
Factor -5*v**3 - 25*v**2 + 385*v + 2205.
-5*(v - 9)*(v + 7)**2
Suppose -5*f**4 + 5*f**3 + 60*f**2 = 0. Calculate f.
-3, 0, 4
Factor -6561*y**4/2 - 729*y**3/2 - 27*y**2/2 - y/6.
-y*(27*y + 1)**3/6
Factor 2*w**3/11 - 14*w**2/11 - 210*w/11 - 450/11.
2*(w - 15)*(w + 3)*(w + 5)/11
Solve -3*b**2 + 129*b + 720 = 0.
-5, 48
Factor 5*n**5 - 1130*n**4 + 3360*n**3 - 3350*n**2 + 1115*n.
5*n*(n - 223)*(n - 1)**3
Let 4*q**5/3 - 14*q**4/3 - 20*q**3/3 + 22*q**2 + 12*q = 0. What is q?
-2, -1/2, 0, 3
Factor -z**4 + 22*z**3 + 52*z**2