- 7*b = 0. What is b?
-14, 0, 1
Factor 2*g**3/11 - 20*g**2/11.
2*g**2*(g - 10)/11
Suppose 2*b**3 + 17*b**2 + 38*b + 15 = 0. Calculate b.
-5, -3, -1/2
Solve 3*v**3 + 9*v**2 - 12*v - 36 = 0 for v.
-3, -2, 2
Factor 3*k**3 - 201*k**2 + 3813*k - 14415.
3*(k - 31)**2*(k - 5)
Find w such that -2*w**4 - 10*w**3 + 14*w**2 + 10*w - 12 = 0.
-6, -1, 1
Factor b**5 - 2*b**4 + b**3.
b**3*(b - 1)**2
Solve -n**3 - 164*n**2 - 6724*n = 0.
-82, 0
Solve 5*s**5 - 2045*s**4 + 210120*s**3 - 208080*s**2 = 0 for s.
0, 1, 204
Factor -2*v**2/5 - 34884*v/5 - 152111682/5.
-2*(v + 8721)**2/5
Factor 2*d**5 - 24*d**4 + 22*d**3.
2*d**3*(d - 11)*(d - 1)
Solve 2*z**4 + 12*z**3 - 70*z**2 + 96*z - 40 = 0.
-10, 1, 2
Factor -4*f**5 + 16*f**4 - 16*f**3 - 8*f**2 + 20*f - 8.
-4*(f - 2)*(f - 1)**3*(f + 1)
Factor -3*m**2/8 - 63*m/4 + 705/8.
-3*(m - 5)*(m + 47)/8
Suppose -5*a**2 + 9615*a - 9610 = 0. Calculate a.
1, 1922
Solve c**3/3 + 882*c**2 + 777924*c + 228709656 = 0.
-882
Factor -4*n**3/3 + 5*n**2/3 + 47*n/3 - 4.
-(n - 4)*(n + 3)*(4*n - 1)/3
Solve 4*k**4 - 64*k**3 - 388*k**2 - 656*k - 336 = 0.
-2, -1, 21
Factor 2*g**3/9 - 20*g**2/9 + 32*g/9.
2*g*(g - 8)*(g - 2)/9
Factor 4*m**5 - 760*m**4 + 47604*m**3 - 947968*m**2 - 2244608*m + 3145728.
4*(m - 64)**3*(m - 1)*(m + 3)
Find i such that -5*i**4 - 20*i**3 + 95*i**2 - 70*i = 0.
-7, 0, 1, 2
Let 8*w**5/11 + 14*w**4/11 - 12*w**3/11 - 14*w**2/11 + 4*w/11 = 0. Calculate w.
-2, -1, 0, 1/4, 1
Determine d so that -2*d**2/3 - 33*d/2 + 25/6 = 0.
-25, 1/4
What is h in 4*h**3 + 32*h**2 + 64*h = 0?
-4, 0
Suppose -2*s**5/15 - 292*s**4/3 - 269354*s**3/15 - 70664*s**2 - 351384*s/5 = 0. What is s?
-363, -2, 0
Factor 21*w**5 - 57*w**4 + 45*w**3 - 3*w**2 - 6*w.
3*w*(w - 1)**3*(7*w + 2)
Find n such that 2*n**4/7 - 8*n**3/7 + 6*n**2/7 = 0.
0, 1, 3
Factor l**5/8 - 45*l**4/8 + 675*l**3/8 - 3375*l**2/8.
l**2*(l - 15)**3/8
Factor -b**2 - 5128*b - 6574096.
-(b + 2564)**2
Factor -3*t**2 + 9*t - 6.
-3*(t - 2)*(t - 1)
Factor 4*u**3 - 152*u**2 + 1228*u - 1080.
4*(u - 27)*(u - 10)*(u - 1)
Suppose 14*f**5/5 + 2*f**4 - 284*f**3/5 + 16*f**2 = 0. What is f?
-5, 0, 2/7, 4
What is z in -5*z**3 + 1180*z**2 + 19840*z + 80640 = 0?
-8, 252
Solve -9*c**5 - 29*c**4 - 33*c**3 - 15*c**2 - 2*c = 0.
-1, -2/9, 0
Factor -l**2/11 + 3526*l/11 + 3527/11.
-(l - 3527)*(l + 1)/11
Find z such that 2*z**2/3 - 368*z/3 + 480 = 0.
4, 180
Factor -2*g**3/3 - 10*g**2/3 + 16*g.
-2*g*(g - 3)*(g + 8)/3
Find o, given that 2*o**4/7 + 60*o**3/7 + 554*o**2/7 + 1560*o/7 + 1352/7 = 0.
-13, -2
Suppose -3*b**3/2 - 873*b**2 - 254043*b/2 = 0. What is b?
-291, 0
Find g, given that -2*g**2/19 + 8*g/19 + 330/19 = 0.
-11, 15
Suppose -14*u**2 + 58*u - 44 = 0. What is u?
1, 22/7
Determine p so that -2*p**4/13 - 540*p**3/13 - 538*p**2/13 = 0.
-269, -1, 0
Factor -6*r**4/5 - 18*r**3/5 + 30*r**2 - 126*r/5.
-6*r*(r - 3)*(r - 1)*(r + 7)/5
Let -3*v**5/2 - 57*v**4 - 201*v**3 + 120*v**2 + 1197*v/2 - 459 = 0. Calculate v.
-34, -3, 1
Determine x so that -15*x**5 + 324*x**4 - 2208*x**3 + 4734*x**2 - 1377*x - 1458 = 0.
-2/5, 1, 3, 9
Factor 3*b**4/2 - 21*b**3 + 171*b**2/2 - 108*b.
3*b*(b - 8)*(b - 3)**2/2
Find l such that -l**4/6 - 19*l**3/6 - 19*l**2/6 + 85*l/2 = 0.
-17, -5, 0, 3
Determine g, given that g**3 + 258*g**2 + 16641*g = 0.
-129, 0
Let 13*l**3 + 16*l**2 - 20*l = 0. What is l?
-2, 0, 10/13
What is u in 2*u**5/3 + 20*u**4/3 - 26*u**3 + 8*u**2/3 + 104*u/3 = 0?
-13, -1, 0, 2
Let -3*q**4 + 180*q**3 - 2514*q**2 - 5580*q - 2883 = 0. What is q?
-1, 31
What is x in -66*x**2 + 254*x + 40 = 0?
-5/33, 4
Suppose -2*u**5/3 - 20*u**4/3 + 58*u**3 - 280*u**2/3 + 128*u/3 = 0. Calculate u.
-16, 0, 1, 4
Determine b so that 3*b**4/4 + 15*b**3/4 - 9*b**2/4 - 51*b/4 - 15/2 = 0.
-5, -1, 2
Factor -3*z**4 + 24*z**3 - 21*z**2.
-3*z**2*(z - 7)*(z - 1)
Suppose 5*n**4 - 95*n**3 + 485*n**2 - 225*n - 810 = 0. What is n?
-1, 2, 9
Factor -4*l**3/17 - 6*l**2 - 50*l/17.
-2*l*(l + 25)*(2*l + 1)/17
Suppose -28*t**4/9 - 272*t**3/9 - 704*t**2/9 - 448*t/9 + 64/3 = 0. What is t?
-6, -2, 2/7
Suppose -w**2 + 1 = 0. Calculate w.
-1, 1
Factor 4*j**2 + 236*j + 232.
4*(j + 1)*(j + 58)
Determine f so that 127008*f**4 - 382032*f**3 + 257042*f**2 - 2022*f + 4 = 0.
1/252, 1, 2
What is q in 2*q**3/11 + 18*q**2 = 0?
-99, 0
Find c such that -3*c**3/5 + 24498*c**2/5 - 66683556*c/5 + 60504213144/5 = 0.
2722
Factor 2*c**4 + 70*c**3 + 422*c**2 + 858*c + 504.
2*(c + 1)*(c + 3)**2*(c + 28)
Let -3*w**2 + 279*w = 0. Calculate w.
0, 93
Factor 2*y**2 + 428*y + 8786.
2*(y + 23)*(y + 191)
Factor 3*v**4 + 33*v**3 - 3*v**2 - 33*v.
3*v*(v - 1)*(v + 1)*(v + 11)
Determine k, given that -33*k**2/4 - 93*k/4 + 9/2 = 0.
-3, 2/11
Determine u so that u**5/11 + 36*u**4/11 + 133*u**3/11 + 162*u**2/11 + 64*u/11 = 0.
-32, -2, -1, 0
Find w, given that -2*w**3/3 + 2*w + 4/3 = 0.
-1, 2
Factor -405*q**2 - 4140*q - 10580.
-5*(9*q + 46)**2
What is a in -a**2 - 5268*a - 6937956 = 0?
-2634
Solve 4*f**2 - 428*f = 0 for f.
0, 107
Factor -y**3 - 147*y**2 + 1068*y - 1540.
-(y - 5)*(y - 2)*(y + 154)
Let 22*d**3 - 678*d**2 - 2368*d - 408 = 0. What is d?
-3, -2/11, 34
Factor s**4/6 + 18*s**3 + 429*s**2 - 3078*s + 9747/2.
(s - 3)**2*(s + 57)**2/6
Suppose 16*r**5/7 - 48*r**4/7 - 460*r**3/7 + 32*r**2/7 + 348*r/7 + 16 = 0. Calculate r.
-4, -1/2, 1, 7
Solve 2*i**4/7 - 1828*i**3/7 + 16344*i**2/7 - 48924*i/7 + 48870/7 = 0.
3, 905
Solve -45*p**4/4 - 105*p**3/4 + 115*p**2/4 + 425*p/4 + 125/2 = 0.
-5/3, -1, 2
Factor 4*h**2 - 164*h + 312.
4*(h - 39)*(h - 2)
Factor -2*d**4 + 23*d**3 - 81*d**2 + 85*d - 25.
-(d - 5)**2*(d - 1)*(2*d - 1)
Factor 4*q**5 + 16*q**4 + 12*q**3.
4*q**3*(q + 1)*(q + 3)
Solve 2*d**4 + 44*d**3 + 210*d**2 = 0.
-15, -7, 0
Solve 2*w**2/3 - 62*w = 0.
0, 93
Factor s**4/6 - 2*s**3/3 - 25*s**2/6 + 14*s/3.
s*(s - 7)*(s - 1)*(s + 4)/6
Let 3*k**4 + 3*k**3 - 12*k**2 - 12*k = 0. What is k?
-2, -1, 0, 2
Solve t**2/3 - 2540*t/3 + 1612900/3 = 0.
1270
Determine f, given that 4*f**4 + 40*f**3 + 132*f**2 + 160*f + 64 = 0.
-4, -1
Find d, given that -d**3 + 16*d**2 = 0.
0, 16
Suppose -16*c**5/5 + 7256*c**4/5 - 828076*c**3/5 + 246250*c**2 - 613816*c/5 + 102152/5 = 0. What is c?
1/2, 226
Find i, given that 18*i**4 - 21*i**3 - 1815*i**2 - 1479*i + 297 = 0.
-9, -1, 1/6, 11
Factor -a**4/6 + a**3 - 3*a**2/2 - 2*a/3 + 2.
-(a - 3)*(a - 2)**2*(a + 1)/6
Suppose o**4/3 - 1474*o**3/3 - 1476*o**2 - 4430*o/3 - 1477/3 = 0. What is o?
-1, 1477
Solve -20*w**4 - 268*w**3 + 176*w**2 + 112*w = 0 for w.
-14, -2/5, 0, 1
Factor -4*i**2/3 + 20*i/3 - 8.
-4*(i - 3)*(i - 2)/3
Suppose -60*m**4 - 112*m**3 - 44*m**2 + 8*m = 0. Calculate m.
-1, 0, 2/15
Let 2*y**3/3 + 180*y**2 + 12328*y + 71824/3 = 0. Calculate y.
-134, -2
Let 5*p**5 + 185*p**4 + 1615*p**3 - 1805*p**2 = 0. What is p?
-19, 0, 1
Determine s so that -10*s**2 + 664*s - 264 = 0.
2/5, 66
Factor 64*o**2 - 220*o - 144.
4*(o - 4)*(16*o + 9)
Let -2*a**3 + 14*a**2 - 32*a + 24 = 0. Calculate a.
2, 3
Solve 4*b**2 + 12*b = 0 for b.
-3, 0
Factor -a**2 - 878*a - 192721.
-(a + 439)**2
Determine p so that 4*p**5 - 332*p**4 + 1276*p**3 - 932*p**2 - 1280*p + 1264 = 0.
-1, 1, 2, 79
Factor 2*g**4 - 310*g**3 + 15912*g**2 - 264992*g - 281216.
2*(g - 52)**3*(g + 1)
Factor -9*n**4 + 1118*n**3 + 2020*n**2 - 504*n.
-n*(n - 126)*(n + 2)*(9*n - 2)
Suppose -4*u**4/3 + 700*u**3/3 + 2128*u**2/3 + 1424*u/3 = 0. What is u?
-2, -1, 0, 178
Find w, given that 2*w**3 + 112*w**2 + 1850*w + 7500 = 0.
-25, -6
Determine f, given that -f**2 + 583*f = 0.
0, 583
Find o such that 2*o**5/7 + 8*o**4/7 - 24*o**3/7 + 4*o**2/7 + 22*o/7 - 12/7 = 0.
-6, -1, 1
Suppose r**2/4 - 314*r + 1255/4 = 0. What is r?
1, 1255
Let 4*p**3 + 76*p**2 - 256*p + 176 = 0. Calculate p.
-22, 1, 2
Find q, given that -2*q**2 + 148*q + 304 = 0.
-2, 76
Factor -22*g**2/9 + 568*g/9 + 104/9.
-2*(g - 26)*(11*g + 2)/9
Determine i, given that 4*i**2 + 564*i + 2720 = 0.
-136, -5
What is l in -5*l**2/2 - 115*l = 0?
-46, 0
Determine m so that m**5 + 17*m**4 - 60*m**3 + 4*m**2 + 80*m = 0.
-20, -1, 0, 2
Suppose -4*c**2 - 640*c + 1956 = 0. Calculate c.
-163, 3
Solve -10*w**5/9 + 94*w**4/9 - 62*w**3/3 - 190*w**2/9 + 100*w/9 = 0.
-1, 0, 2/5, 5
Let -d**4/2 + 209*d**3/2 + 2*d**2 - 418*d = 0. Calculate d.
-2, 0, 2, 209
Factor -q**4/3 - 50*q**3/3 - 76*q**2 - 42*q + 135.
-(q - 1)*(q + 3)**2*(q + 45)/3
Suppose -2*d**5 - 78*d**4 - 712*d**3 + 792*d**2 = 0. Calculate d.
-22, -18, 0, 1
Fact