
-3, -2/63, 0, 1
Factor -1558*a**3/7 + 1555*a**2/7 + 3*a/7.
-a*(a - 1)*(1558*a + 3)/7
Factor a**5 + 16*a**4 + 14*a**3 - 16*a**2 - 15*a.
a*(a - 1)*(a + 1)**2*(a + 15)
Solve d**5 - 9*d**4 - 37*d**3 + 277*d**2 + 624*d + 320 = 0 for d.
-5, -1, 8
Factor -5*m**2 - 19*m/3 - 4/3.
-(m + 1)*(15*m + 4)/3
Factor 1690*h**4 - 17004*h**3 + 216458*h**2/5 - 2616*h + 40.
2*(h - 5)**2*(65*h - 2)**2/5
Solve 8*t**3/5 + 34*t**2/5 + 32*t/5 + 6/5 = 0.
-3, -1, -1/4
Factor -5*x**3/4 + 15*x**2/2 - 55*x/4 + 15/2.
-5*(x - 3)*(x - 2)*(x - 1)/4
Factor -2*r**2 + 328*r - 648.
-2*(r - 162)*(r - 2)
Suppose 1083*n**2 + 16872*n + 65712 = 0. What is n?
-148/19
Factor 3*o**2 - 609*o + 606.
3*(o - 202)*(o - 1)
Factor 16*z**3 + 216*z**2 + 105*z + 13.
(z + 13)*(4*z + 1)**2
Factor -2*r**4/9 + 8*r**3/3 + 128*r**2/9.
-2*r**2*(r - 16)*(r + 4)/9
Let -2*d**5 + 34*d**4 + 2*d**3 - 34*d**2 = 0. What is d?
-1, 0, 1, 17
Let -3*k**3 + 54*k**2 + 120*k = 0. Calculate k.
-2, 0, 20
What is q in q**5 - 13*q**4 - 2*q**3 + 26*q**2 + q - 13 = 0?
-1, 1, 13
Suppose -2*q**4 + 298*q**3 - 11244*q**2 + 10360*q + 21904 = 0. Calculate q.
-1, 2, 74
Find a such that 14*a**5/3 - 52*a**4/3 - 150*a**3 + 856*a**2/3 + 280*a/3 = 0.
-5, -2/7, 0, 2, 7
Solve -18*k**3/17 - 58*k**2/17 - 12*k/17 = 0 for k.
-3, -2/9, 0
Find g, given that 10*g**5 + 29*g**4 + 20*g**3 + 4*g**2 = 0.
-2, -1/2, -2/5, 0
Find o such that 6*o**2/5 + 12*o/5 + 6/5 = 0.
-1
Factor -t**4 - 7*t**3.
-t**3*(t + 7)
Determine r, given that r**3/3 - 3*r**2 - 16*r - 52/3 = 0.
-2, 13
Find p, given that 2*p**3/9 - 4*p**2/3 - 10*p + 100/9 = 0.
-5, 1, 10
Find x such that -20*x**5 + 8*x**4 + 140*x**3 + 64*x**2 - 48*x = 0.
-2, -1, 0, 2/5, 3
Suppose 21*f**2/8 + 141*f/8 - 21/4 = 0. Calculate f.
-7, 2/7
Factor j**3/3 - 29*j**2/3.
j**2*(j - 29)/3
Solve -35*o**5 - 45*o**4 + 130*o**3 + 180*o**2 + 40*o = 0 for o.
-2, -1, -2/7, 0, 2
What is r in -3*r**5 - 9*r**4 + 171*r**3 + 1113*r**2 + 2232*r + 1296 = 0?
-4, -3, -1, 9
Factor 2*h**4/9 + 4*h**3/3 + 2*h**2 - 8*h/9 - 8/3.
2*(h - 1)*(h + 2)**2*(h + 3)/9
Determine c so that 5*c**4 + 10520*c**3 + 5533515*c**2 - 10520*c - 5533520 = 0.
-1052, -1, 1
Factor 2*r**2/9 + 170*r/9 + 1628/9.
2*(r + 11)*(r + 74)/9
Determine m so that -m**5/2 + 5*m**4/2 + 25*m**3/2 - 5*m**2/2 - 12*m = 0.
-3, -1, 0, 1, 8
Find w, given that w**2/2 - 55*w - 112 = 0.
-2, 112
Factor 2*i**2/7 + 4*i/7 - 48/7.
2*(i - 4)*(i + 6)/7
Factor -4*z**3 - 184*z**2 + 188*z.
-4*z*(z - 1)*(z + 47)
Suppose 2*s**4 - 12*s**3 + 18*s**2 + 8*s - 24 = 0. Calculate s.
-1, 2, 3
Find w such that -w**3/3 - 79*w**2/3 + 82*w = 0.
-82, 0, 3
Determine k, given that -8*k**5/5 + 468*k**4/5 - 6486*k**3/5 - 10441*k**2/5 - 1068*k - 180 = 0.
-1/2, 30
Determine b, given that 4*b**2 - 16*b = 0.
0, 4
Solve 3*o**2/7 - 1086*o/7 - 6624/7 = 0 for o.
-6, 368
Factor -5*f**3 - 80*f**2 + 195*f + 270.
-5*(f - 3)*(f + 1)*(f + 18)
Factor -g**2/8 + 7905*g/8 + 3953/4.
-(g - 7906)*(g + 1)/8
Factor 20*z**3/7 - 36*z**2/7 + 16*z/7.
4*z*(z - 1)*(5*z - 4)/7
What is d in -6*d**3 - 88*d**2 - 134*d - 52 = 0?
-13, -1, -2/3
Factor 5*b**2 - 20*b - 60.
5*(b - 6)*(b + 2)
Let 2*p**4/5 + 22*p**3 + 62*p**2 - 22*p - 312/5 = 0. What is p?
-52, -3, -1, 1
Factor -4*r**2 + 11900*r + 11904.
-4*(r - 2976)*(r + 1)
Find n, given that -2*n**2/5 + 214*n/5 - 864 = 0.
27, 80
What is o in -o**5 - 5*o**4 - 2*o**3 + 8*o**2 = 0?
-4, -2, 0, 1
Factor 3*n**4/8 + 9*n**3/8 + 3*n**2/4.
3*n**2*(n + 1)*(n + 2)/8
Factor 4*d**3 - 3648*d**2 + 831744*d.
4*d*(d - 456)**2
Suppose -4*o**4/7 - 1096*o**3/7 = 0. What is o?
-274, 0
Solve -3*s**2/8 - 15*s/2 - 63/2 = 0.
-14, -6
Factor 2*n**2 - 1060*n + 140450.
2*(n - 265)**2
Solve m**2/4 - 17*m/4 + 15/2 = 0.
2, 15
Factor -7*b**2/3 + 20*b - 92/3.
-(b - 2)*(7*b - 46)/3
Factor -3*v**2 + 267*v - 264.
-3*(v - 88)*(v - 1)
Factor 1936*c**2 - 616*c + 49.
(44*c - 7)**2
Suppose 10*c**3 - 85*c**2 - 50*c + 45 = 0. Calculate c.
-1, 1/2, 9
Determine t so that 4*t**4/5 - 1544*t**3 + 3717172*t**2/5 + 1491504*t + 3732624/5 = 0.
-1, 966
Solve -j**3 + 21*j**2 - 14*j - 456 = 0.
-4, 6, 19
Let 2*m**5/3 - 2*m**4/3 - 38*m**3 - 286*m**2/3 + 112*m/3 + 96 = 0. Calculate m.
-4, -1, 1, 9
Solve 5*n**3 + 3445*n**2 + 3440*n = 0 for n.
-688, -1, 0
Factor 4*c**4 - 392*c**3 + 324*c**2 + 6128*c + 7760.
4*(c - 97)*(c - 5)*(c + 2)**2
Find f, given that 5*f**2 - 165*f + 1080 = 0.
9, 24
What is p in 3*p**5/4 + 33*p**4/4 - 60*p**3 = 0?
-16, 0, 5
Factor 6*o**3/11 - 7240*o**2/11 + 2186478*o/11 - 1454436/11.
2*(o - 603)**2*(3*o - 2)/11
Solve -b**4/5 - b**3/5 + 2*b**2/5 = 0 for b.
-2, 0, 1
Factor h**3 - 10*h**2 + 28*h - 24.
(h - 6)*(h - 2)**2
Let -2*r**4/9 + 10*r**3 + 350*r**2/3 - 61250*r/9 = 0. Calculate r.
-25, 0, 35
What is a in 4*a**2 - 368*a + 364 = 0?
1, 91
Find h, given that -h**3/7 + 227*h**2/7 - 1824*h - 12996/7 = 0.
-1, 114
Determine q, given that -5*q**4 + 505*q**3 - 1470*q**2 - 20*q + 1960 = 0.
-1, 2, 98
Factor -4*t**2/9 - 20*t/3 - 104/9.
-4*(t + 2)*(t + 13)/9
Factor 2*o**2/11 - 172*o/11.
2*o*(o - 86)/11
What is x in -15*x**4 - 140*x**3 + 3255*x**2 + 1100*x = 0?
-20, -1/3, 0, 11
Factor 2*s**5/7 - 4*s**4/7 + 4*s**2/7 - 2*s/7.
2*s*(s - 1)**3*(s + 1)/7
Factor -4*w**2/9 + 8*w/3 + 64/9.
-4*(w - 8)*(w + 2)/9
Let 4*l**3/3 - 40*l**2/3 + 12*l = 0. What is l?
0, 1, 9
What is h in -90*h**5 - 516*h**4 + 2336*h**3 - 2668*h**2 + 1082*h - 144 = 0?
-9, 1/3, 1, 8/5
Factor -87*d**3 + 150*d**2 + 561*d + 324.
-3*(d + 1)**2*(29*d - 108)
Suppose t**4/5 + 40*t**3 - 811*t**2/5 + 1018*t/5 - 408/5 = 0. What is t?
-204, 1, 2
Suppose i**2/2 - 269*i/2 + 267 = 0. What is i?
2, 267
Suppose u**2/8 + 27*u/8 - 45/4 = 0. Calculate u.
-30, 3
Factor z**4/5 + 3574*z**3/5 + 851088*z**2 + 1685144704*z/5 - 3387339776/5.
(z - 2)*(z + 1192)**3/5
What is m in m**4 + 15*m**3 + 84*m**2 + 208*m + 192 = 0?
-4, -3
Find x, given that 10*x**2/3 + 2*x - 4/3 = 0.
-1, 2/5
Find w such that w**2 - 123*w - 124 = 0.
-1, 124
Solve 4*g**4 - 4*g**3 - 4*g**2 + 4*g = 0.
-1, 0, 1
Let -14*d**4 + 54*d**3 + 260*d**2 + 192*d = 0. What is d?
-2, -1, 0, 48/7
Determine l, given that -l**3/8 - 413*l**2/4 - 42435*l/2 + 42849 = 0.
-414, 2
Find c, given that 25*c**4 - 180*c**3 + 475*c**2 - 540*c + 220 = 0.
1, 2, 11/5
Determine q so that -2*q**2 + 5*q/2 - 1/2 = 0.
1/4, 1
Let 3*p**3/8 - 3*p**2 + 9*p/2 = 0. Calculate p.
0, 2, 6
Factor 35*l**3 + 7760*l**2 + 429015*l - 123210.
5*(l + 111)**2*(7*l - 2)
Suppose -4*g**4 - 60*g**3 + 456*g**2 + 1120*g = 0. Calculate g.
-20, -2, 0, 7
Let 4*c**5 - 93*c**4 - 81*c**3 + 218*c**2 - 48*c = 0. Calculate c.
-2, 0, 1/4, 1, 24
Factor j**2/5 + 29*j/5 + 28/5.
(j + 1)*(j + 28)/5
Suppose 3*b**3/4 + 135*b**2/4 + 729*b/4 + 1053/4 = 0. What is b?
-39, -3
Factor 3*b**4/4 - 15*b**3/4 - 9*b**2/2 + 24*b + 24.
3*(b - 4)**2*(b + 1)*(b + 2)/4
Suppose 16*y**5/7 + 164*y**4/7 - 408*y**3/7 - 752*y**2/7 + 1376*y/7 + 384/7 = 0. Calculate y.
-12, -2, -1/4, 2
Let 5*u**2 - 2850*u + 406125 = 0. What is u?
285
Suppose 280*f**2/9 - 4*f/3 = 0. What is f?
0, 3/70
Solve 58*c**2/11 + 866*c/11 - 60/11 = 0.
-15, 2/29
Factor 5*m**2 - 1290*m + 1285.
5*(m - 257)*(m - 1)
Suppose 5*o**5 + 325*o**4 + 4760*o**3 - 17320*o**2 + 1360*o + 23120 = 0. What is o?
-34, -1, 2
Solve -17161*x**5/2 + 53055*x**4/2 - 2376*x**3 - 34268*x**2 + 3144*x - 72 = 0 for x.
-1, 6/131, 2
Suppose -3*r**4 - 15*r**3 + 42*r**2 = 0. What is r?
-7, 0, 2
Factor -2*b**2 + 620*b - 48050.
-2*(b - 155)**2
Factor -4*s**4 - 164*s**3 + 168*s**2.
-4*s**2*(s - 1)*(s + 42)
Solve -2*b**2/11 + 46*b/11 - 240/11 = 0 for b.
8, 15
Find w such that w**3/5 - 13*w**2/5 + 51*w/5 - 63/5 = 0.
3, 7
Let 3*j**4 + 12*j**3 - 33*j**2 + 18*j = 0. What is j?
-6, 0, 1
Factor 3*a**3 - 9*a**2 - 12*a + 36.
3*(a - 3)*(a - 2)*(a + 2)
Let 2*v**5/13 - 8*v**4/13 - 6*v**3 - 116*v**2/13 + 56*v/13 + 144/13 = 0. What is v?
-2, 1, 9
Factor 4*n**4 + 272*n**3 - 556*n**2 + 280*n.
4*n*(n - 1)**2*(n + 70)
What is r in -3*r**4 - 66*r**3 - 288*r**2 + 864*r = 0?
-12, 0, 2
Suppose 2*c**5 - 30*c**4 + 94*c**3 + 158*c**2 - 96*c - 128 = 0. What is c?
-1, 1, 8
Factor 2*t**3/9 + 922*t**2/9 + 35266*t/3 - 11858.
2*(t - 1)*(t + 231)**2/9
Factor -2*j**2 - 250*j - 1428.
-2*(j + 6)*(j + 119)
Factor l**4/5 - 64*l**3/5 + 186*l**2/5 - 184*l/5 + 61/5.
(l - 61)*(l - 1)**3/5
Let 8*g**5/7 - 30*g**4/7 + 16*g**3/7 + 38*g**2/7 - 24*g/7 - 8/7 = 0. What is g?
-1, -1/4, 1, 2
Let -5*s**5 - 15*s**4 + 15*s**3 + 55*s**2 + 30*s = 0. What is s?
