(t - 30)*(t - 27)*(t - 2)/7
Factor 3*s**2/4 - 45*s/2 - 462.
3*(s - 44)*(s + 14)/4
Determine b, given that -2*b**3/13 + 2492*b**2/13 - 315330*b/13 + 10550376/13 = 0.
69, 1108
Suppose 2*q**5/15 - 76*q**4/15 + 1048*q**3/15 - 6644*q**2/15 + 1306*q - 1440 = 0. Calculate q.
3, 5, 9, 16
Factor 2*k**3 + 132658*k**2 + 2199701790*k - 2199834450.
2*(k - 1)*(k + 33165)**2
Suppose 4*a**2 + 94348*a = 0. What is a?
-23587, 0
Factor 2*c**3/3 - 79798*c**2/3 + 796004998*c/3 - 795925202/3.
2*(c - 19949)**2*(c - 1)/3
Determine s, given that -2*s**5 - 24*s**4 - 10*s**3 + 132*s**2 = 0.
-11, -3, 0, 2
Suppose -2*o**5/7 - 8990*o**4/7 - 17972*o**3/7 + 4*o**2/7 + 17974*o/7 + 8986/7 = 0. Calculate o.
-4493, -1, 1
Find c, given that -4*c**4/7 - 3016*c**3/7 - 12020*c**2/7 - 2144*c - 6000/7 = 0.
-750, -2, -1
Suppose 2*t**4/9 + 722*t**3/9 + 3508*t**2/3 + 5560*t + 8304 = 0. Calculate t.
-346, -6, -3
Factor 3*y**2 - 19*y - 154.
(y - 11)*(3*y + 14)
Find b such that -14*b**5/5 - 276*b**4/5 + 2516*b**3/5 - 1248*b**2 + 4986*b/5 - 972/5 = 0.
-27, 2/7, 1, 3
Factor -2*k**3/11 - 44534*k**2 - 29997801782*k/11 - 89988996534/11.
-2*(k + 3)*(k + 122467)**2/11
Factor -2*r**4 + 790*r**3 + 1588*r**2.
-2*r**2*(r - 397)*(r + 2)
Suppose a**4/4 + 33*a**3 + 1020*a**2 - 4624*a = 0. Calculate a.
-68, 0, 4
Factor 5*o**4 + 4275*o**3 - 17160*o**2 + 17180*o.
5*o*(o - 2)**2*(o + 859)
What is a in 121801*a**5/6 - 123197*a**4/6 - 364703*a**3/3 + 4186*a**2/3 - 4*a = 0?
-2, 0, 2/349, 3
What is m in 4*m**3 - 432*m**2 - 137676*m - 6213592 = 0?
-77, 262
Solve -5*v**3 - 173545*v**2 = 0 for v.
-34709, 0
Solve 3*q**2 + 61593*q/2 - 15399 = 0 for q.
-10266, 1/2
Let 5*r**5 - 520*r**4 + 9515*r**3 + 49500*r**2 - 58500*r = 0. What is r?
-5, 0, 1, 30, 78
Find x, given that 4*x**2 + 328164*x = 0.
-82041, 0
Find a such that -2*a**2/3 - 20924*a/3 = 0.
-10462, 0
What is x in -15277*x**3 + 229157*x**2 + 244402*x - 32 = 0?
-1, 2/15277, 16
Factor -t**3/4 + 77*t**2/4 + 349*t - 368.
-(t - 92)*(t - 1)*(t + 16)/4
Factor 2*t**2/5 + 694*t - 3472/5.
2*(t - 1)*(t + 1736)/5
Suppose 1352*w**2/5 + 7176*w + 47610 = 0. Calculate w.
-345/26
Solve 3*k**2 - 1839*k + 14520 = 0.
8, 605
Determine i so that -i**3/3 + 260*i**2/3 + 2679*i + 2592 = 0.
-27, -1, 288
Factor l**2 + 240*l + 11036.
(l + 62)*(l + 178)
What is q in -3*q**5/4 + 15*q**4/2 + 75*q**3/4 - 15*q**2/2 - 18*q = 0?
-2, -1, 0, 1, 12
Factor -417*f**4 - 411*f**3 + 6*f**2.
-3*f**2*(f + 1)*(139*f - 2)
Find n such that 2*n**3/11 - 68*n**2/11 - 310*n + 7076/11 = 0.
-29, 2, 61
Factor -5*i**2 - 24740*i - 123575.
-5*(i + 5)*(i + 4943)
Let -4*f**3/3 + 8*f**2/3 + 284*f - 840 = 0. Calculate f.
-15, 3, 14
Solve 4*r**3 + 8*r**2 - 2844*r + 8352 = 0.
-29, 3, 24
Factor y**2/4 - 1567*y + 6267/4.
(y - 6267)*(y - 1)/4
Suppose 46*g**5 + 11312*g**4 - 12392*g**3 - 10324*g**2 + 12346*g - 988 = 0. Calculate g.
-247, -1, 2/23, 1
Determine a, given that 6*a**4 + 532*a**3 + 998*a**2 - 3616*a + 2080 = 0.
-260/3, -4, 1
Let 2*l**4/13 + 1496*l**3/13 - 15182*l**2/13 - 16676*l/13 = 0. What is l?
-758, -1, 0, 11
What is j in -3*j**5/5 + 1014*j**4 - 2162271*j**3/5 + 17075712*j**2/5 - 42517596*j/5 + 33949488/5 = 0?
2, 4, 841
Factor -2*g**2 - 28*g + 53694.
-2*(g - 157)*(g + 171)
Factor 2*b**3 - 20*b**2 - 214*b - 408.
2*(b - 17)*(b + 3)*(b + 4)
Find h, given that -h**3/2 - 3157*h**2/2 - 852455*h/2 - 60278675/2 = 0.
-2867, -145
Solve 4*b**3/5 + 3484*b**2/5 + 3464*b = 0.
-866, -5, 0
Determine h, given that -2*h**4/13 - 4880*h**3/13 - 1404900*h**2/13 - 142884000*h/13 - 4919906250/13 = 0.
-2125, -105
Suppose 3*p**4 + 499971*p**3/5 + 4166033346*p**2/5 - 2499999996*p/5 - 1666533336/5 = 0. What is p?
-16666, -2/5, 1
Factor f**4/8 + 199*f**3/4 + 39197*f**2/8 - 10150*f - 15000.
(f - 3)*(f + 1)*(f + 200)**2/8
Suppose 2*i**3/7 + 2*i**2/7 - 1992*i/7 + 3960/7 = 0. What is i?
-33, 2, 30
Factor -5*a**3 + 305*a**2 + 158250*a.
-5*a*(a - 211)*(a + 150)
Let -2*a**3/5 - 3166*a**2/5 + 1268*a = 0. What is a?
-1585, 0, 2
Let 2*p**3/3 - 878*p**2/9 - 2032*p/3 - 408 = 0. What is p?
-6, -2/3, 153
Factor 5*q**3 - 50*q**2 - 43405*q - 257550.
5*(q - 101)*(q + 6)*(q + 85)
What is v in -75*v**5/2 + 870*v**4 - 7347*v**3/2 + 2709*v**2 + 4158*v + 972 = 0?
-2/5, 3, 18
Determine p, given that -3*p**4 + 96*p**3 + 13986*p**2 - 821400*p + 12004761 = 0.
-79, 37
Solve -l**5/2 - 5*l**4/2 + 105*l**3 + 220*l**2 - 832*l = 0 for l.
-16, -4, 0, 2, 13
Factor 2*i**2/19 + 11986*i/19 - 96016/19.
2*(i - 8)*(i + 6001)/19
Factor a**2/2 - 9485*a/2 + 42642.
(a - 9476)*(a - 9)/2
Find t such that 24*t**5/11 + 2426*t**4/11 + 62600*t**3/11 + 64998*t**2/11 - 200*t/11 - 5000/11 = 0.
-50, -1, -1/3, 1/4
Factor 4*i**2 - 1080*i - 18304.
4*(i - 286)*(i + 16)
Suppose 5*t**5 - 75*t**4 + 290*t**3 - 420*t**2 + 200*t = 0. Calculate t.
0, 1, 2, 10
Factor -2*r**3/9 + 226*r**2/9 + 1442*r/9 - 1666/9.
-2*(r - 119)*(r - 1)*(r + 7)/9
Factor 5*m**3 + 23380*m**2 + 140140*m + 186800.
5*(m + 2)*(m + 4)*(m + 4670)
Find a such that 16*a**3 + 9556*a**2 + 1413600*a - 3960000 = 0.
-300, 11/4
Factor -q**2 + 186*q + 567.
-(q - 189)*(q + 3)
Factor -2*w**3 + 39684*w**2 - 79354*w - 119040.
-2*(w - 19840)*(w - 3)*(w + 1)
Suppose -6*l**5 + 28*l**4 + 122*l**3 - 416*l**2 - 216*l + 288 = 0. What is l?
-4, -1, 2/3, 3, 6
Factor n**2/2 + 461*n/2 - 16506.
(n - 63)*(n + 524)/2
Find g such that g**2/3 + 2147*g/3 - 2868 = 0.
-2151, 4
Factor 2*m**2/9 + 32*m - 3848.
2*(m - 78)*(m + 222)/9
Factor -j**4/5 + 472*j**3/5 - 23544*j**2/5 + 412128*j/5 - 2437776/5.
-(j - 418)*(j - 18)**3/5
Factor -h**2/10 + 593*h/10 + 4249/5.
-(h - 607)*(h + 14)/10
Solve 3*l**3 + 7623*l**2 + 4434597*l - 528747423 = 0 for l.
-1321, 101
Factor 4*t**3 - 1180*t**2 - 4804*t + 5980.
4*(t - 299)*(t - 1)*(t + 5)
Determine d so that 1428*d**5 + 134696*d**4 - 230544*d**3 - 87584*d**2 - 3072*d = 0.
-96, -2/7, -2/51, 0, 2
Let 20*k**2 + 23801092*k - 9520440 = 0. Calculate k.
-1190055, 2/5
Suppose -r**3/3 + 40*r**2/3 + 1243*r/3 + 7502/3 = 0. What is r?
-11, 62
Suppose 3*q**2 + 7105158*q + 4206939183747 = 0. What is q?
-1184193
Determine s, given that -9*s**2 - 24045*s - 16026 = 0.
-2671, -2/3
Factor -v**2/2 - 107*v - 4800.
-(v + 64)*(v + 150)/2
Factor 3*n**2/7 - 23208*n/7 + 44884272/7.
3*(n - 3868)**2/7
Factor l**3/2 + 101*l**2/2 - 3641*l/2 - 3741/2.
(l - 29)*(l + 1)*(l + 129)/2
Factor -2*w**4/17 + 13512*w**3/17 - 81024*w**2/17 + 162016*w/17 - 108000/17.
-2*(w - 6750)*(w - 2)**3/17
Factor -5*v**3 + 61315*v**2 - 190013680*v + 12457177340.
-5*(v - 6098)**2*(v - 67)
Factor -3*i**3/5 + 12864*i**2/5 + 12867*i/5.
-3*i*(i - 4289)*(i + 1)/5
Find i, given that 5*i**5 - 1010*i**4 + 53960*i**3 - 299920*i**2 + 584080*i - 384160 = 0.
2, 98
Solve -5*c**3 - 970*c**2 + 2945*c - 1970 = 0 for c.
-197, 1, 2
Suppose 4*p**2 + 28176*p - 56368 = 0. What is p?
-7046, 2
Let 4*d**3 - 7004*d**2 + 2998380*d + 59525100 = 0. Calculate d.
-19, 885
What is w in 3*w**4 - 378*w**3 - 108141*w**2 + 327024*w - 218508 = 0?
-139, 1, 2, 262
Factor -2*w**2/3 + 15428*w/3 - 29752898/3.
-2*(w - 3857)**2/3
Suppose -2*y**4/7 - 130*y**3/7 - 334*y**2 - 8030*y/7 + 1500 = 0. What is y?
-35, -25, -6, 1
Factor 3*v**2/5 + 75162*v/5 + 470777187/5.
3*(v + 12527)**2/5
Determine o, given that o**5 + 72*o**4 + 1062*o**3 - 8428*o**2 + 13377*o - 6084 = 0.
-39, 1, 4
Factor 5*l**3 + 16700*l**2 + 66740*l + 66720.
5*(l + 2)**2*(l + 3336)
Factor -3*t**3/7 + 13470*t**2/7 - 13467*t/7.
-3*t*(t - 4489)*(t - 1)/7
What is j in -9*j**4/2 - 3264*j**3 - 159591*j**2/2 + 3264*j + 79800 = 0?
-700, -76/3, -1, 1
Find s, given that 2*s**4/7 - 14366*s**3/7 + 12306*s**2 - 129194*s/7 + 57416/7 = 0.
1, 4, 7177
Suppose -13*h**2/5 + 176*h/5 - 576/5 = 0. Calculate h.
72/13, 8
Let 2*y**2 - 20362*y - 61104 = 0. Calculate y.
-3, 10184
Let b**3 - 27443*b**2/3 + 62755280*b/3 + 20921476/3 = 0. Calculate b.
-1/3, 4574
Factor t**2/6 - 2110*t/3 + 4219/6.
(t - 4219)*(t - 1)/6
Let -4*a**4/9 + 100276*a**3/9 - 93096980*a**2 + 2332916954396*a/9 + 4669186202344/9 = 0. Calculate a.
-2, 8357
Factor r**3/5 - 208*r**2/5 - 1061*r/5 - 852/5.
(r - 213)*(r + 1)*(r + 4)/5
Let 2*a**3/7 + 194*a**2/7 + 5310*a/7 + 4050 = 0. Calculate a.
-45, -7
Factor 5*z**4 - 1880*z**3 + 176595*z**2 + 47000*z - 4418000.
5*(z - 188)**2*(z - 5)*(z + 5)
Suppose -4*k**2 + 1154436*k + 2308888 = 0. Calculate k.
-2, 288611
What is f in 3*f**3 - 18*f**2 - 1767*f + 1782 = 0?
-22, 1, 27
What is b in 2