3
Solve 4*u**3 + 376*u**2 + 364*u - 744 = 0 for u.
-93, -2, 1
Determine i, given that 42*i**5/11 - 576*i**4/11 + 672*i**3/11 + 2592*i**2/11 - 3360*i/11 - 1152/11 = 0.
-2, -2/7, 2, 12
Determine d, given that -3*d**2 - 27*d + 156 = 0.
-13, 4
Let 5*n**4 + 25*n**3 - 65*n**2 + 35*n = 0. Calculate n.
-7, 0, 1
Suppose 5*p**3 + 775*p**2 + 28835*p - 93615 = 0. What is p?
-79, 3
Let -k**2/4 - 14*k - 196 = 0. What is k?
-28
Factor m**3 + 240*m**2 - 484*m.
m*(m - 2)*(m + 242)
Factor 4*w**5 + 60*w**4 + 296*w**3 + 528*w**2 + 288*w.
4*w*(w + 1)*(w + 2)*(w + 6)**2
Factor -5*v**3 + 13*v**2.
-v**2*(5*v - 13)
Factor 5*w**2 + 12240*w - 12245.
5*(w - 1)*(w + 2449)
Solve -2*m**2/7 + 60*m - 3150 = 0 for m.
105
Determine c so that c**2 + 2*c - 24 = 0.
-6, 4
What is s in -7*s**3 - 1437*s**2 + 1032*s + 412 = 0?
-206, -2/7, 1
Determine p so that 3*p**2 - 366*p + 363 = 0.
1, 121
Solve -2*y**2 - 92*y + 742 = 0 for y.
-53, 7
Find d such that 3*d**3 - 39*d + 36 = 0.
-4, 1, 3
Factor n**2 + 1020*n + 260100.
(n + 510)**2
Let 4*s**3 - 20*s**2 - 4*s + 20 = 0. Calculate s.
-1, 1, 5
Find y, given that -75*y**4 - 365*y**3 + 78*y**2 + 132*y - 40 = 0.
-5, -2/3, 2/5
Solve 16*m**3 - 956*m**2 - 1216*m - 244 = 0 for m.
-1, -1/4, 61
Find f such that 3*f**2 + 138*f + 135 = 0.
-45, -1
Determine j, given that -4*j**4 + 24*j**2 - 32*j + 12 = 0.
-3, 1
Factor -12*y**4 - 4668*y**3 - 451623*y**2 + 455130*y - 114075.
-3*(y + 195)**2*(2*y - 1)**2
Suppose 54*f**5 + 51*f**4 - 3*f**3 = 0. What is f?
-1, 0, 1/18
Factor -5*q**4 + 85*q**3 - 410*q**2 + 60*q + 2520.
-5*(q - 7)*(q - 6)**2*(q + 2)
Suppose 4*y**5 - 47*y**4 + 105*y**3 - 54*y**2 = 0. What is y?
0, 3/4, 2, 9
Suppose -3*b**3/2 - 8*b**2 - 3*b/2 + 5 = 0. Calculate b.
-5, -1, 2/3
Factor -2*m**3/3 - 272*m**2/3 + 550*m/3 - 92.
-2*(m - 1)**2*(m + 138)/3
Find w such that 3*w**2/2 - 114*w + 2166 = 0.
38
Factor 2*d**2/5 + 13044*d/5 + 21268242/5.
2*(d + 3261)**2/5
Determine x so that 225*x**2/4 + 105*x/2 + 49/4 = 0.
-7/15
What is q in 94*q**3 - 278*q**2 + 176*q + 8 = 0?
-2/47, 1, 2
Solve -3*u**5 - 63*u**4 - 150*u**3 + 216*u**2 = 0 for u.
-18, -4, 0, 1
Factor 15*s**4 - 132*s**3 + 87*s**2 + 234*s.
3*s*(s - 2)*(s + 1)*(5*s - 39)
Factor z**3/5 + 8*z**2/5 + 9*z/5 - 18/5.
(z - 1)*(z + 3)*(z + 6)/5
Factor 3*d**3 + 255*d**2 - 258*d.
3*d*(d - 1)*(d + 86)
Factor -q**5 + 9*q**4 - 15*q**3 - 25*q**2.
-q**2*(q - 5)**2*(q + 1)
What is c in 81*c**3/2 - 585*c**2/2 + 127*c/2 - 7/2 = 0?
1/9, 7
Determine a so that 4*a**4 - 76*a**3 = 0.
0, 19
Solve v**5 + 13*v**4 - 81*v**3 + 155*v**2 - 124*v + 36 = 0 for v.
-18, 1, 2
Let x**2/4 + 69*x/2 = 0. What is x?
-138, 0
Suppose 4*x**4 + 228*x**3 + 444*x**2 - 93092*x = 0. What is x?
-37, 0, 17
Factor -5*t**3 - 35*t**2 - 75*t - 45.
-5*(t + 1)*(t + 3)**2
Solve p**4/2 - 2873*p**3/4 + 4305*p**2/4 + p/4 - 1435/4 = 0 for p.
-1/2, 1, 1435
Factor 3*f**5/4 + 33*f**4/4 + 63*f**3/2 + 51*f**2 + 30*f.
3*f*(f + 2)**3*(f + 5)/4
What is r in -2*r**4/13 - 184*r**3/13 - 5580*r**2/13 - 53816*r/13 + 59582/13 = 0?
-31, 1
What is b in b**2/4 - 205*b + 42025 = 0?
410
Suppose h**2 - 176*h + 175 = 0. Calculate h.
1, 175
What is i in -3*i**5 + 12*i**4 - 15*i**3 + 6*i**2 = 0?
0, 1, 2
Determine j so that 10*j**3 - 95*j**2 + 190*j + 120 = 0.
-1/2, 4, 6
Let 2*o**2 + 176*o + 3872 = 0. What is o?
-44
Find y such that -4*y**2 + 132*y - 128 = 0.
1, 32
Factor 2*o**4 - 88*o**3 - 1162*o**2 - 2712*o + 3960.
2*(o - 55)*(o - 1)*(o + 6)**2
What is j in -2*j**4 - 22*j**3 - 64*j**2 - 56*j = 0?
-7, -2, 0
Factor 3*n**2 + 474*n + 18723.
3*(n + 79)**2
Factor 5*q**3 - 485*q**2 + 12000*q - 11520.
5*(q - 48)**2*(q - 1)
Let l**5 - 2*l**4 - 8*l**3 = 0. What is l?
-2, 0, 4
Factor 2*j**3/3 + 34*j**2/3.
2*j**2*(j + 17)/3
What is j in 2*j**4/5 + 684*j**3/5 + 59162*j**2/5 + 23256*j + 11560 = 0?
-170, -1
Determine j so that j**3 + 10*j**2 + 28*j + 24 = 0.
-6, -2
Factor -5*u**3/4 - 145*u**2/4 - 475*u/4 + 625/4.
-5*(u - 1)*(u + 5)*(u + 25)/4
Factor -r**5 - 19*r**4 - 115*r**3 - 241*r**2 - 208*r - 64.
-(r + 1)**3*(r + 8)**2
Factor 5*x**3 - 2545*x**2 - 7670*x - 5120.
5*(x - 512)*(x + 1)*(x + 2)
Let 10*r**2 - 2612*r - 2622 = 0. Calculate r.
-1, 1311/5
Factor -14*x**2 - 186*x - 216.
-2*(x + 12)*(7*x + 9)
Let -v**2/2 - 42*v + 85/2 = 0. Calculate v.
-85, 1
Factor p**2/2 - 75*p/2 + 268.
(p - 67)*(p - 8)/2
Suppose 32*x**4/5 - 20*x**3 + 76*x**2/5 - 8*x/5 = 0. Calculate x.
0, 1/8, 1, 2
Factor -10*y**2/7 - 108*y/7 - 234/7.
-2*(y + 3)*(5*y + 39)/7
Determine n so that 16*n**4 + 4*n**3 - 180*n**2 - 328*n - 160 = 0.
-2, -5/4, -1, 4
What is i in 5*i**3/3 + 20*i**2/3 - 35*i = 0?
-7, 0, 3
Factor -4*v**3/5 - 6*v**2/5 - 2*v/5.
-2*v*(v + 1)*(2*v + 1)/5
Determine m, given that 8*m**4/3 + 32*m**3/3 - 118*m**2/3 - 46*m - 12 = 0.
-6, -1/2, 3
Factor k**3/4 - 17*k**2/4 + 79*k/4 - 63/4.
(k - 9)*(k - 7)*(k - 1)/4
Find h such that 3*h**5/5 + 927*h**4/5 + 19512*h**3 + 4021788*h**2/5 + 58061664*h/5 + 54136512/5 = 0.
-118, -36, -1
Solve -2*u**5/11 + 54*u**4/11 - 192*u**3/11 - 2560*u**2/11 = 0 for u.
-5, 0, 16
What is q in 2*q**4 - 34*q**2 + 32 = 0?
-4, -1, 1, 4
Suppose -c**2/12 - 119*c/12 = 0. Calculate c.
-119, 0
Solve 4*t**2 + 2532*t - 2536 = 0 for t.
-634, 1
Factor q**4/4 - q**3 - 209*q**2/4 - 51*q.
q*(q - 17)*(q + 1)*(q + 12)/4
Factor 5*d**2 + 155*d + 290.
5*(d + 2)*(d + 29)
Factor -t**4 + 14*t**3 - 56*t**2 + 64*t.
-t*(t - 8)*(t - 4)*(t - 2)
Let 3*s**3/5 - 714*s**2/5 + 1419*s/5 - 708/5 = 0. Calculate s.
1, 236
Factor -2*u**4 + 8*u**3 + 342*u**2 - 2268*u.
-2*u*(u - 9)**2*(u + 14)
Find g such that -2*g**2/5 + 22*g/5 + 24/5 = 0.
-1, 12
Determine h, given that 2*h**3 - 74*h**2 - 154*h - 78 = 0.
-1, 39
Factor -2*m**4/7 + 4*m**3/7 + 118*m**2/7 - 120*m/7 - 1800/7.
-2*(m - 6)**2*(m + 5)**2/7
Solve -w**3/3 + 4*w**2/3 + w/3 - 4/3 = 0 for w.
-1, 1, 4
Factor -11*h**3/3 - 4468*h**2/3 - 454111*h/3 - 82418/3.
-(h + 203)**2*(11*h + 2)/3
Factor 4*o**5/3 - 136*o**4/3 - 284*o**3/3 - 48*o**2.
4*o**2*(o - 36)*(o + 1)**2/3
Solve 5*n**3 + 10*n**2 + 5*n = 0 for n.
-1, 0
Factor 4*b**4 + 32*b**3 + 16*b**2 - 192*b.
4*b*(b - 2)*(b + 4)*(b + 6)
Factor -13*p**2/5 - 29*p/5 - 6/5.
-(p + 2)*(13*p + 3)/5
Factor -z**2/6 + 5*z/6 - 1.
-(z - 3)*(z - 2)/6
Solve -b**3 - 23*b**2/2 + 15*b/2 + 18 = 0 for b.
-12, -1, 3/2
Factor a**4 - 37*a**3 + 129*a**2 + 4117*a + 7406.
(a - 23)**2*(a + 2)*(a + 7)
Factor -2*s**2/3 - 2*s/3.
-2*s*(s + 1)/3
Let 36*c**4 + 120*c**3 + 109*c**2 + 27*c + 2 = 0. Calculate c.
-2, -1, -1/6
Solve 4*g**2 + 1288*g + 103684 = 0.
-161
Factor 2*d**3 - 142*d**2 + 2448*d + 2592.
2*(d - 36)**2*(d + 1)
Factor -w**3 - 276*w**2 - 25392*w - 778688.
-(w + 92)**3
Factor -2*f**2 - 452*f.
-2*f*(f + 226)
Factor h**4/11 + 27*h**3/11 + 218*h**2/11 + 480*h/11 + 288/11.
(h + 1)*(h + 2)*(h + 12)**2/11
Suppose 12*x**3 + 448*x**2 + 580*x + 144 = 0. Calculate x.
-36, -1, -1/3
Factor -2*p**3/7 - 354*p**2/7 + 102*p - 358/7.
-2*(p - 1)**2*(p + 179)/7
Solve k**2/3 - 40*k/3 + 76/3 = 0.
2, 38
Suppose -2*w**2/3 - 20*w + 144 = 0. What is w?
-36, 6
Let -56*g**4 + 9860*g**3 - 444056*g**2 + 879396*g - 60552 = 0. Calculate g.
1/14, 2, 87
Find a, given that -2*a**4/3 - 820*a**3 - 252150*a**2 = 0.
-615, 0
Determine n so that 2*n**5/9 + 16*n**4/9 + 44*n**3/9 + 16*n**2/3 + 2*n = 0.
-3, -1, 0
Suppose -i**2 - 20*i - 100 = 0. Calculate i.
-10
Factor 5*n**2 + 20*n.
5*n*(n + 4)
Let -2*p**4/5 - 12*p**3/5 + 54*p**2/5 = 0. What is p?
-9, 0, 3
Factor -5*y**4 - 2795*y**3 - 8355*y**2 - 8345*y - 2780.
-5*(y + 1)**3*(y + 556)
Suppose -b**3/7 + 611*b**2/7 = 0. Calculate b.
0, 611
Find b such that -2*b**2/13 - 908*b/13 - 103058/13 = 0.
-227
Find d, given that -3*d**4 - 3*d**3 + 63*d**2 + 27*d - 324 = 0.
-4, -3, 3
Factor j**4/2 + j**3/2 - 15*j**2/2 - 9*j/2 + 27.
(j - 3)*(j - 2)*(j + 3)**2/2
Factor -5*a**2 + 815*a - 2400.
-5*(a - 160)*(a - 3)
Let -c**5/2 + 25*c**4 - 813*c**3/2 + 1998*c**2 + 2430*c = 0. Calculate c.
-1, 0, 15, 18
Determine w, given that 5*w**3 - 1675*w**2 + 144375*w - 680625 = 0.
5, 165
Solve -3*b**5/8 - 15*b**4/8 - 21*b**3/8 - 9*b**2/8 = 0 for b.
-3, -1, 0
Factor g**4 + 279*g**3 + 25947*g**2 + 804357*g.
g*(g + 93)**3
Factor 3*j**3 + 15*j**2 + 9*j - 27.
3*(j - 1)*(j + 3)**2
Find k such that k**3/4 - 11*k**2/12 - 67*k/12 - 7/4 = 0.
-3, -1/3, 7
Let 3*p**2 + 108*p + 105 = 0. What is p?
-35, -1
Suppose 3*k**5/2 + 7*k**4 + 5*k**3/2 - 7*k**2 - 4*k = 0. Calculate k.
-4, -1, -2/3, 0, 1
Facto