Factor -q**4 + 905*q**3 + 23162*q**2 + 81756*q + 78120.
-(q - 930)*(q + 2)**2*(q + 21)
Factor 2*i**3/3 - 878*i**2/3 - 16418*i/3 - 15538/3.
2*(i - 457)*(i + 1)*(i + 17)/3
Factor -2*l**2/11 + 928*l/11 - 27648/11.
-2*(l - 432)*(l - 32)/11
What is d in 4*d**4/5 - 224*d**3/5 - 106688*d**2/5 + 3075072*d/5 + 753831936/5 = 0?
-104, 132
Factor 3*w**2 + 527718*w + 527715.
3*(w + 1)*(w + 175905)
Factor f**3/9 + 38944*f**2 + 3412429056*f.
f*(f + 175248)**2/9
Solve 2*b**4/13 + 290*b**3/13 + 3028*b**2/13 + 832*b + 12864/13 = 0.
-134, -4, -3
What is u in -2*u**5 - 42*u**4 + 3116*u**3 - 32080*u**2 + 120384*u - 154880 = 0?
-55, 4, 22
Factor -2*u**3/5 - 486*u**2/5 - 1888*u/5 + 5736/5.
-2*(u - 2)*(u + 6)*(u + 239)/5
Factor -4*n**2/5 + 882104*n/5 - 48631716676/5.
-4*(n - 110263)**2/5
Solve s**4/2 - 205*s**3 + 9286*s**2 - 102284*s - 243360 = 0.
-2, 26, 360
Suppose 2*f**3/15 - 172*f**2/15 - 1834*f/5 - 1776/5 = 0. What is f?
-24, -1, 111
Factor w**3 + 263*w**2 + 1040*w + 1036.
(w + 2)**2*(w + 259)
Find t such that t**4 + 3555*t**3 + 21305*t**2 + 39045*t + 21294 = 0.
-3549, -3, -2, -1
Solve -14*p**5 - 38362*p**4 - 26320412*p**3 - 56274116*p**2 - 33740374*p - 3748322 = 0 for p.
-1369, -1, -1/7
Let -5*s**2/3 - 1778960*s - 474704802240 = 0. Calculate s.
-533688
Factor -5*y**2 + 8590*y - 76905.
-5*(y - 1709)*(y - 9)
Suppose 2*o**3/5 - 2166*o**2/5 - 6524*o/5 + 8688/5 = 0. What is o?
-4, 1, 1086
Factor 4*o**2 - 89900*o - 179816.
4*(o - 22477)*(o + 2)
What is v in 5*v**2 + 268595*v + 3490890 = 0?
-53706, -13
Find z such that -2*z**4/21 + 104*z**3/7 - 608*z**2 + 22400*z/3 = 0.
0, 28, 100
Factor 3098*r**2 - 40246*r - 364.
2*(r - 13)*(1549*r + 14)
Suppose 3*p**3/2 - 11175*p**2/2 - 61662*p + 67248 = 0. What is p?
-12, 1, 3736
Find p such that -4*p**2 - 106660*p = 0.
-26665, 0
Solve v**5/3 - 54*v**4 + 1072*v**3/3 + 686*v**2 - 6689*v/3 + 1240 = 0 for v.
-3, 1, 8, 155
Suppose 5*t**2/4 - 219*t/2 - 44 = 0. Calculate t.
-2/5, 88
Factor -2*s**2 - 162780*s + 162782.
-2*(s - 1)*(s + 81391)
Solve 25*g**3 - 770*g**2 + 3545*g + 4340 = 0 for g.
-1, 7, 124/5
Solve -3*y**3/8 + 17025*y**2/4 - 34041*y/2 + 17019 = 0 for y.
2, 11346
Let -s**4/12 + s**3/6 + 253*s**2/12 - 919*s/6 + 132 = 0. What is s?
-18, 1, 8, 11
Factor -w**4/5 - 11*w**3 - 34*w**2/5 + 216*w.
-w*(w - 4)*(w + 5)*(w + 54)/5
Determine q so that 2*q**3/9 - 2498*q**2/3 + 82252*q/9 - 74720/3 = 0.
5, 6, 3736
Factor -3*w**3/2 + 3210*w**2 - 57537*w/2.
-3*w*(w - 2131)*(w - 9)/2
Factor -45*z**4 + 122340*z**3 - 83191190*z**2 + 55420020*z - 9234405.
-5*(z - 1359)**2*(3*z - 1)**2
Determine c, given that 39*c**5 - 146*c**4 + 76*c**3 + 34*c**2 - 3*c = 0.
-1/3, 0, 1/13, 1, 3
Let -6*q**4 - 6285*q**3 - 59241*q**2 - 77874*q - 24912 = 0. Calculate q.
-1038, -8, -1, -1/2
Factor 9*g**2/2 - 111*g/4 - 147/2.
3*(g + 2)*(6*g - 49)/4
Factor -w**2/6 - 751*w/2 + 5645/3.
-(w - 5)*(w + 2258)/6
Let -63*q**5 + 31503*q**4/4 - 1302207*q**3/4 + 8676045*q**2/2 + 4615947*q - 55566 = 0. Calculate q.
-1, 1/84, 42
Factor 6*m**3/7 - 5070*m**2/7 + 203454*m - 133025274/7.
6*(m - 311)*(m - 267)**2/7
Determine n, given that n**2 - 269981*n = 0.
0, 269981
Let 4*o**5 - 988*o**4 + 12360*o**3 - 45072*o**2 + 33696*o = 0. What is o?
0, 1, 6, 234
Solve -5*m**2 - 4270*m + 17160 = 0 for m.
-858, 4
Suppose n**5/2 - 58*n**4 + 3301*n**3/2 + 1827*n**2 - 3420*n = 0. What is n?
-2, 0, 1, 57, 60
Suppose 4*h**4/7 - 27388*h**3/7 + 8903556*h**2 - 6673652748*h - 137065869360 = 0. What is h?
-20, 2289
Determine w so that 2*w**4 + 856*w**3 - 6962*w**2 + 6104*w = 0.
-436, 0, 1, 7
Factor -4*v**3 - 5564*v**2 + 698324*v - 21011316.
-4*(v - 59)**2*(v + 1509)
Let 3*r**3/5 + 760662*r**2/5 + 9643596768*r + 96432925056/5 = 0. What is r?
-126776, -2
Solve -t**3 - 166*t**2 + 7511*t = 0.
-203, 0, 37
Determine a so that -20402*a**4 + 137360*a**3 - 276044*a**2 + 150960*a - 24642 = 0.
37/101, 3
Factor -3*d**3 - 975*d**2 + 90624*d + 36765696.
-3*(d - 187)*(d + 256)**2
Factor -3*o**3/7 - 1641*o**2/7 + 195000*o/7 - 754416.
-3*(o - 52)**2*(o + 651)/7
Suppose 2*b**4/3 + 4862*b**3/3 + 9716*b**2/3 = 0. What is b?
-2429, -2, 0
Factor 2*n**2/3 - 1742*n/3 - 17620/3.
2*(n - 881)*(n + 10)/3
Factor -2*v**3/5 + 62*v**2 - 308*v/5.
-2*v*(v - 154)*(v - 1)/5
Factor r**2/7 + 6625*r/7 - 6626/7.
(r - 1)*(r + 6626)/7
Let -2*c**5/9 - 2*c**4/3 + 452*c**3/9 - 2740*c**2/9 + 462*c - 1862/9 = 0. Calculate c.
-19, 1, 7
Factor 4*n**5 + 1100*n**4 + 73960*n**3 - 228520*n**2 + 230740*n - 77284.
4*(n - 1)**3*(n + 139)**2
Determine a, given that -4*a**2 - 28638*a - 14318 = 0.
-7159, -1/2
Suppose -2*d**4 - 340*d**3 - 21386*d**2 - 589560*d - 6013512 = 0. What is d?
-51, -34
Suppose 2*o**3/11 - 196*o**2/11 + 6232*o/11 - 5776 = 0. What is o?
22, 38
Factor 2*x**2/17 + 5694*x/17 - 11396/17.
2*(x - 2)*(x + 2849)/17
Suppose -15*y**5 - 1173*y**4 + 98451*y**3 + 19737*y**2 = 0. What is y?
-129, -1/5, 0, 51
Factor 7550914816*z**2 + 347584*z + 4.
4*(43448*z + 1)**2
Factor -m**2 - 601*m + 602.
-(m - 1)*(m + 602)
Factor -4*t**3 - 404*t**2 - 1936*t - 1536.
-4*(t + 1)*(t + 4)*(t + 96)
Let -29*m**3 - 32*m**2 + 139*m - 78 = 0. Calculate m.
-3, 26/29, 1
Factor -b**4/7 + 86*b**3/7 - 1668*b**2/7 - 7830*b/7 - 6075/7.
-(b - 45)**2*(b + 1)*(b + 3)/7
Suppose 9362*g**3/7 + 37442*g**2/7 + 37424*g/7 - 24/7 = 0. Calculate g.
-2, 3/4681
Factor b**2/3 + 1264*b - 3793/3.
(b - 1)*(b + 3793)/3
Factor 325*d**2/6 - 59435*d/6 - 1220.
5*(d - 183)*(65*d + 8)/6
Factor 3*z**4 - 144*z**3 + 729*z**2 + 20412*z.
3*z*(z - 36)*(z - 21)*(z + 9)
Factor -5*l**3 - 60*l**2 + 3465*l.
-5*l*(l - 21)*(l + 33)
Solve -3*b**2 - 2523*b + 20376 = 0 for b.
-849, 8
Factor 2*i**3/17 - 114*i**2/17 + 1950*i/17 - 8750/17.
2*(i - 25)**2*(i - 7)/17
Let 4*p**5 + 88*p**4 - 1664*p**3 - 12288*p**2 = 0. What is p?
-32, -6, 0, 16
Factor -2*y**3/7 + 4142*y**2/7 + 20760*y/7.
-2*y*(y - 2076)*(y + 5)/7
Find x such that -x**3 - 67*x**2 + 761*x - 693 = 0.
-77, 1, 9
Suppose -5*t**5 - 308*t**4 - 403*t**3 + 4748*t**2 + 7728*t + 2880 = 0. Calculate t.
-60, -4, -1, -3/5, 4
What is p in -p**3 + 11725*p**2 - 34386487*p + 103053963 = 0?
3, 5861
Factor -8330*w**3/3 + 667*w**2/3 + 2*w.
-w*(34*w - 3)*(245*w + 2)/3
Suppose -29*a**4/2 - 13268*a**3 - 443*a**2 + 13268*a + 915/2 = 0. What is a?
-915, -1, -1/29, 1
Determine k, given that 3*k**3 - 4704*k**2 - 56880*k = 0.
-12, 0, 1580
Factor -3*r**3 + 297*r**2 - 288*r - 588.
-3*(r - 98)*(r - 2)*(r + 1)
Factor -16*c**2/5 - 20698*c/5 - 33592/5.
-2*(c + 1292)*(8*c + 13)/5
Factor -2*w**3/5 + 1194*w**2/5 + 2394*w/5 + 1198/5.
-2*(w - 599)*(w + 1)**2/5
Suppose 2*p**5/3 - 64*p**4/3 + 90*p**3 + 40*p**2/3 - 1112*p/3 + 288 = 0. What is p?
-2, 1, 2, 4, 27
Find h such that 644*h**2 + 156488*h - 972 = 0.
-243, 1/161
Suppose -2*t**2 - 105032*t - 1378965128 = 0. Calculate t.
-26258
Solve -2*s**4/7 - 78*s**3/7 - 150*s**2/7 + 13750*s/7 = 0 for s.
-25, 0, 11
Let o**3 - 10*o**2 + 32*o - 32 = 0. What is o?
2, 4
Factor -14*r**2/3 - 2726*r/3 - 1940/3.
-2*(r + 194)*(7*r + 5)/3
What is z in -6*z**4 - 2811*z**3 - 18066*z**2 - 22191*z - 6930 = 0?
-462, -5, -1, -1/2
Find l, given that 651605*l**2 - 584820*l + 131220 = 0.
162/361
Determine i so that 3*i**3 + 4746*i**2 - 4755*i - 9498 = 0.
-1583, -1, 2
Factor 5*y**4 + 400*y**3 + 8500*y**2 + 50000*y.
5*y*(y + 10)*(y + 20)*(y + 50)
Solve -49*r**2/3 + 70014*r - 75030003 = 0 for r.
15003/7
Suppose 75*s**5/4 - 41625*s**4 - 1335687*s**3/4 - 619965*s**2 + 53427*s + 100260 = 0. Calculate s.
-5, -3, -2/5, 2/5, 2228
Let -2*p**4 + 246*p**3 - 3172*p**2 + 13224*p - 15696 = 0. Calculate p.
2, 6, 109
Find b, given that 2*b**2/7 - 361194*b/7 + 361192/7 = 0.
1, 180596
Find h, given that -4*h**3 + 3192*h**2 + 16*h - 12768 = 0.
-2, 2, 798
Suppose -788*v**4 + 22858*v**3 - 174*v**2 = 0. What is v?
0, 3/394, 29
Determine l so that 3*l**4/2 - 531*l**3/2 + 18735*l**2/2 - 195489*l/2 + 88641 = 0.
1, 21, 134
Factor 465*d**2 - 8388*d + 324.
3*(d - 18)*(155*d - 6)
Solve 5*g**2/3 - 855*g + 54010/3 = 0 for g.
22, 491
Factor -k**3/12 + 161*k**2/12 - 275*k/2.
-k*(k - 150)*(k - 11)/12
What is w in -12*w**3/5 + 7252*w**2/5 - 16864*w/5 + 4816/5 = 0?
1/3, 2, 602
Solve 60*o**4 + 2420*o**3 - 123435*o**2 + 81405*o - 10150 = 0.
-70, 1/6, 1/2, 29
Let 2*k**5 + 1410*k**4 + 258876*k**3 + 3657788*k**2 + 15064770*k + 11664450 = 0. What is k?
-345, -7, -1
Factor 743*c**3/3 + 14870*c**2/3 + 74500*c/3 + 1000/3.
(c + 10