0*j = 0.
-9, -4, 0
Suppose -2*b**3 + 600*b**2 - 60000*b + 2000000 = 0. What is b?
100
Factor 3*h**3/2 + 1215*h**2/2 + 61812*h + 61206.
3*(h + 1)*(h + 202)**2/2
Suppose 16*x**5 + 132*x**4 + 384*x**3 + 472*x**2 + 240*x + 36 = 0. Calculate x.
-3, -1, -1/4
Factor -2*d**2/5 + 4*d - 32/5.
-2*(d - 8)*(d - 2)/5
Factor 2*m**3/13 - 118*m**2/13 + 2150*m/13 - 11250/13.
2*(m - 25)**2*(m - 9)/13
Solve 20*c**4/3 - 88*c**3/3 + 92*c**2/3 - 8*c = 0.
0, 2/5, 1, 3
Factor 6*c**4 + 8*c**3 - 2*c**2 - 4*c.
2*c*(c + 1)**2*(3*c - 2)
Let -2*z**4/3 + 14*z**3/3 + 2*z**2 - 46*z/3 + 28/3 = 0. Calculate z.
-2, 1, 7
Factor -2*n**3/3 - 2*n**2 + 2*n/3 + 2.
-2*(n - 1)*(n + 1)*(n + 3)/3
Let -q**3 + 13*q**2 - 40*q = 0. What is q?
0, 5, 8
Solve -2*j**4 - 23*j**3 - 81*j**2 - 85*j - 25 = 0 for j.
-5, -1, -1/2
Suppose -4*p**5 + 4*p**3 = 0. What is p?
-1, 0, 1
Factor -h**3 - 20*h**2 - 100*h.
-h*(h + 10)**2
Suppose -4*s**5 - 112*s**4 + 1092*s**3 - 2192*s**2 - 1088*s + 2304 = 0. Calculate s.
-36, -1, 1, 4
Suppose 75*z**5 - 420*z**4 + 363*z**3 + 1410*z**2 - 2604*z + 1176 = 0. Calculate z.
-2, 1, 14/5
Solve -21*a**3 - 13077*a**2 - 9324*a + 3732 = 0 for a.
-622, -1, 2/7
Factor 326*a**2 - 278*a - 48.
2*(a - 1)*(163*a + 24)
Factor p**5/3 + 7*p**4/3 + 17*p**3/3 + 17*p**2/3 + 2*p.
p*(p + 1)**2*(p + 2)*(p + 3)/3
Factor 2*k**2 + 148*k + 2738.
2*(k + 37)**2
Factor -b**4/6 + 29*b**3/6 - 14*b**2/3.
-b**2*(b - 28)*(b - 1)/6
Suppose 68121*m**4/7 - 522*m**3/7 + m**2/7 = 0. Calculate m.
0, 1/261
Suppose 12*d**5 + 152*d**4 + 544*d**3 + 840*d**2 + 596*d + 160 = 0. What is d?
-8, -5/3, -1
Let -6*p**4 - 93*p**3 - 102*p**2 + 327*p - 126 = 0. Calculate p.
-14, -3, 1/2, 1
Determine g, given that 3*g**5 + 33*g**4 + 96*g**3 + 12*g**2 - 144*g = 0.
-6, -4, -2, 0, 1
Solve -4*d**3/7 - 940*d**2/7 - 936*d/7 = 0.
-234, -1, 0
Determine s so that 12*s**2 + 980*s + 648 = 0.
-81, -2/3
Factor f**3/2 + f**2 - 7*f/2 + 2.
(f - 1)**2*(f + 4)/2
Factor l**2/4 - 7*l/2 - 15/4.
(l - 15)*(l + 1)/4
What is o in -4*o**2 + 176*o - 1936 = 0?
22
Factor w**4/8 + 7*w**3/8 + 15*w**2/8 + 13*w/8 + 1/2.
(w + 1)**3*(w + 4)/8
Let -5*s**3/7 + 2942*s**2/7 - 61908*s + 24696 = 0. What is s?
2/5, 294
Determine u so that 3*u**3 + 8991*u**2 + 8982009*u + 2991008997 = 0.
-999
Factor -4*a**2/9 + a/3 + 22/9.
-(a + 2)*(4*a - 11)/9
Factor 3*m**4/5 - 39*m**3 - 816*m**2/5 - 828*m/5.
3*m*(m - 69)*(m + 2)**2/5
Factor 4*d**4/3 - 12*d**2 - 16*d/3 + 16.
4*(d - 3)*(d - 1)*(d + 2)**2/3
Determine x, given that 2*x**2/3 - 1436*x = 0.
0, 2154
Factor -a**4 + 53*a**3 + 166*a**2 + 112*a.
-a*(a - 56)*(a + 1)*(a + 2)
Factor 3*f**3/8 + 9*f**2 + 33*f/2.
3*f*(f + 2)*(f + 22)/8
Find d such that 21*d**5 - 261*d**4 + 843*d**3 - 315*d**2 = 0.
0, 3/7, 5, 7
Factor -b**2/2 + 4*b + 10.
-(b - 10)*(b + 2)/2
Suppose p**2/6 + 2*p/3 + 1/2 = 0. Calculate p.
-3, -1
Factor -j**3 + j**2 + 8*j - 12.
-(j - 2)**2*(j + 3)
Factor 2*r**4/5 + 46*r**3 + 6496*r**2/5 - 6728*r/5.
2*r*(r - 1)*(r + 58)**2/5
Factor -18*o**3 - 362*o**2 + 338*o + 42.
-2*(o - 1)*(o + 21)*(9*o + 1)
Suppose 42*p**5 - 382*p**4 + 650*p**3 - 210*p**2 - 212*p + 112 = 0. What is p?
-4/7, 2/3, 1, 7
Factor 2*q**4/15 + 8*q**3/3 + 36*q**2/5 + 104*q/15 + 34/15.
2*(q + 1)**3*(q + 17)/15
Factor -6*t**5/5 + 204*t**4/5 - 198*t**3/5.
-6*t**3*(t - 33)*(t - 1)/5
Let 20*c**4 + 608*c**3 - 2400*c**2 + 1664*c + 1088 = 0. What is c?
-34, -2/5, 2
Solve -4*k**5 - 76*k**4 - 192*k**3 + 16*k**2 + 256*k = 0.
-16, -2, 0, 1
Let 4*f**2 - 120*f + 900 = 0. Calculate f.
15
Factor 16*a**2/3 + 652*a/3 - 164/3.
4*(a + 41)*(4*a - 1)/3
Find v such that -2*v**4 + 94*v**3 + 400*v**2 + 408*v = 0.
-2, 0, 51
Factor -6*t**2 - 81*t + 42.
-3*(t + 14)*(2*t - 1)
Find g such that -8*g**5 + 32*g**4 + 30*g**3 - 270*g**2 + 378*g - 162 = 0.
-3, 1, 3/2, 3
Solve -p**5/2 + 13*p**4/2 - 39*p**3/2 + 23*p**2/2 + 20*p - 18 = 0.
-1, 1, 2, 9
Let -420*z**4 - 965*z**3 - 665*z**2 - 115*z + 5 = 0. Calculate z.
-1, -1/3, 1/28
Determine p so that -2028*p**3 - 7280*p**2 - 8284*p - 2888 = 0.
-19/13, -2/3
What is o in 4*o**3 + 268*o**2 + 4620*o + 4356 = 0?
-33, -1
Solve -2*x**5/9 + 14*x**4/9 + 26*x**3/3 + 106*x**2/9 + 44*x/9 = 0.
-2, -1, 0, 11
What is u in -2*u**4 + 14*u**2 + 12*u = 0?
-2, -1, 0, 3
Factor -2*x**5/9 - 4*x**4/9 + 4*x**2/9 + 2*x/9.
-2*x*(x - 1)*(x + 1)**3/9
Factor 2*u**3 + 34*u**2 - 74*u + 38.
2*(u - 1)**2*(u + 19)
Find t such that -t**3/11 - 173*t**2/11 + t/11 + 173/11 = 0.
-173, -1, 1
What is o in -3*o**5/7 - 4974*o**4/7 - 2071647*o**3/7 - 8226996*o**2/7 - 8207148*o/7 = 0?
-827, -2, 0
Factor -2*m**3 - 432*m**2 + 1314*m.
-2*m*(m - 3)*(m + 219)
Suppose -2*l**5 - 328*l**4/9 + 30*l**3 + 76*l**2/9 = 0. Calculate l.
-19, -2/9, 0, 1
What is n in -4*n**2 - 1584*n - 1580 = 0?
-395, -1
Let -3*i**4/5 + 48*i**3/5 = 0. What is i?
0, 16
Suppose -14*w**5 - 36*w**4 - 2*w**3 + 36*w**2 + 16*w = 0. Calculate w.
-2, -1, -4/7, 0, 1
What is v in -v**4/11 + 383*v**3/11 - 36863*v**2/11 + 36481*v/11 = 0?
0, 1, 191
Let 6*a**3/5 + 74*a**2/5 - 154*a/15 + 26/15 = 0. What is a?
-13, 1/3
Factor -2*v**3/5 - 18*v**2/5 + 10*v + 66/5.
-2*(v - 3)*(v + 1)*(v + 11)/5
Solve 2*n**4 + 10*n**3 + 12*n**2 = 0.
-3, -2, 0
Solve -3*d**2/4 + 318*d - 33708 = 0 for d.
212
Solve 4*x**4 + 48*x**3 + 88*x**2 - 336*x + 196 = 0.
-7, 1
Factor -3*a**3 + 54*a**2 - 324*a + 648.
-3*(a - 6)**3
Find p, given that 3*p**5/8 + 15*p**4/4 + 87*p**3/8 + 15*p**2/2 = 0.
-5, -4, -1, 0
Suppose -4*j**2 + 56*j + 588 = 0. What is j?
-7, 21
Factor -3*p**2/2 + 2688*p - 5373/2.
-3*(p - 1791)*(p - 1)/2
Factor -5*f**5 - 65*f**4.
-5*f**4*(f + 13)
Factor 4*p**2 - 456*p + 452.
4*(p - 113)*(p - 1)
Factor 2*s**4 + 18*s**3 + 46*s**2 + 6*s - 72.
2*(s - 1)*(s + 3)**2*(s + 4)
Factor 5*c**3/3 + 55*c**2/3 + 95*c/3 + 15.
5*(c + 1)**2*(c + 9)/3
Factor -3*m**4/7 + 60*m**3/7 - 450*m**2/7 + 1500*m/7 - 1875/7.
-3*(m - 5)**4/7
Factor 9*f**3/4 - 633*f**2/4 - 425*f/4 - 71/4.
(f - 71)*(3*f + 1)**2/4
Factor 3*i**4 - 597*i**3 + 29997*i**2 - 29403*i.
3*i*(i - 99)**2*(i - 1)
Suppose -2*q**5/5 + 174*q**4/5 + 542*q**3/5 - 174*q**2/5 - 108*q = 0. Calculate q.
-3, -1, 0, 1, 90
Determine b, given that 16*b**3 + 3908*b**2 + 976*b = 0.
-244, -1/4, 0
Factor j**3/6 - 19*j**2/6 - 10*j/3.
j*(j - 20)*(j + 1)/6
Factor 2*g**2 + 38*g + 96.
2*(g + 3)*(g + 16)
Factor 243*g**4 + 1809*g**3 + 2226*g**2 + 732*g + 72.
3*(g + 1)*(g + 6)*(9*g + 2)**2
Solve 3*u**4/5 + 3*u**3/5 - 3*u**2/5 - 3*u/5 = 0.
-1, 0, 1
Factor 2*k**4 - 146*k**3 - 298*k**2 - 150*k.
2*k*(k - 75)*(k + 1)**2
Suppose 5*r**4 - 40*r**3 - 575*r**2 - 1010*r - 480 = 0. What is r?
-6, -1, 16
Solve b**2/6 - 7*b/6 + 2 = 0 for b.
3, 4
Factor 3*f**3 + 93*f**2 - 96*f.
3*f*(f - 1)*(f + 32)
Find p, given that 3*p**3/8 + 3*p**2/4 - 3*p = 0.
-4, 0, 2
Determine l, given that -2*l**4 - 38*l**3 - 210*l**2 - 98*l + 1372 = 0.
-7, 2
Solve -j**2/3 - 12*j - 68/3 = 0.
-34, -2
Factor -2*g**4 - 36*g**3 - 194*g**2 - 288*g - 128.
-2*(g + 1)**2*(g + 8)**2
Solve a**5 + 236*a**4 - 475*a**3 + 238*a**2 = 0.
-238, 0, 1
Factor 5*u**3 - 5*u**2 - 125*u + 125.
5*(u - 5)*(u - 1)*(u + 5)
Suppose -5*l**3 - 10*l**2 = 0. What is l?
-2, 0
Determine k so that -9*k**3/2 - 363*k**2/4 + 9*k/2 + 363/4 = 0.
-121/6, -1, 1
Solve -2*f**3/7 + 158*f**2/7 + 46*f + 162/7 = 0.
-1, 81
Suppose 3*o**2/5 + 51*o/5 + 198/5 = 0. What is o?
-11, -6
Determine l, given that 2*l**2 - 6*l = 0.
0, 3
Factor s**3/4 + 5*s**2/2 - 13*s/4 - 11/2.
(s - 2)*(s + 1)*(s + 11)/4
Determine j so that 2*j**3 + 38*j**2 - 26*j - 2366 = 0.
-13, 7
Determine u so that -3*u**3 + 12*u**2 + 33*u - 90 = 0.
-3, 2, 5
Suppose -p**3/6 - 5*p**2/3 - 11*p/6 + 35/3 = 0. What is p?
-7, -5, 2
Determine b, given that 4*b**3/5 - 92*b**2 + 2588*b/5 + 3052/5 = 0.
-1, 7, 109
Factor 2*l**5 - 16*l**4 + 12*l**3 + 80*l**2 + 50*l.
2*l*(l - 5)**2*(l + 1)**2
Suppose 2*o**3/3 - 6*o**2 - 8*o + 320/3 = 0. Calculate o.
-4, 5, 8
Suppose -15*s**4 + 65*s**3 + 145*s**2 + 35*s - 30 = 0. What is s?
-1, 1/3, 6
Let 2*f**2/3 + 3916*f/3 = 0. Calculate f.
-1958, 0
Factor 5*p**3 - 15*p**2 - 545*p - 1365.
5*(p - 13)*(p + 3)*(p + 7)
Factor -3*s**4/2 - 17*s**3 - 11*s**2/2.
-s**2*(s + 11)*(3*s + 1)/2
Find n such that -4*n**5 - 44*n**4 - 144*n**3 - 128*n**2 + 128*n + 192 = 0.
-6, -2, 1
Solve -r**2 + 84*r - 83 = 0.
1, 83
Find y, given that -3*y**2 + 93*y - 594 = 0.
9, 22
Factor 15*q**3 - 40*q**2 - 155*q - 100.
5*(q - 5)*(q + 1)*(3*q + 4)
What is d in 4*d**5 + 28*d**4 - 612*d**3