 in -69*x**2/7 - 1831*x/7 + 864/7 = 0?
-27, 32/69
Determine w, given that -2*w**4/5 - 36*w**3 - 1842*w**2/5 + 2392*w/5 + 4056/5 = 0.
-78, -13, -1, 2
Determine p so that 3*p**3 + 4716*p**2 + 1867455*p + 11035602 = 0.
-783, -6
Factor x**3/3 - 3287*x**2/3 - 26369*x/3 + 9885.
(x - 3295)*(x - 1)*(x + 9)/3
Factor i**4 - 4900*i**3 + 6017182*i**2 - 35970900*i + 53890281.
(i - 2447)**2*(i - 3)**2
Factor -q**4/4 + 71*q**3/4 + 1401*q**2/4 + 8185*q/4 + 3850.
-(q - 88)*(q + 5)**2*(q + 7)/4
Let 4*x**4 - 1453*x**3 + 172167*x**2 - 6612091*x + 1642285 = 0. Calculate x.
1/4, 85, 139
Factor -52*n**2/7 + 142*n/7 + 590/7.
-2*(n - 5)*(26*n + 59)/7
Suppose t**2 - 1609*t + 3214 = 0. Calculate t.
2, 1607
What is s in 2*s**2/13 - 92362*s/13 - 1478304/13 = 0?
-16, 46197
Determine y so that y**2 + 624*y - 1252 = 0.
-626, 2
Solve -6*c**5/11 - 6*c**4 + 1152*c**3/11 + 18840*c**2/11 + 67200*c/11 = 0 for c.
-10, -7, 0, 16
Find u such that -414*u**4/7 + 4*u**3/7 + 19872*u**2/7 + 52800*u/7 - 512/7 = 0.
-4, 2/207, 8
Solve -3708*q**2 + 220*q = 0.
0, 55/927
Let -b**2/3 - 5831*b/3 - 5828 = 0. Calculate b.
-5828, -3
Factor -j**3/4 - 123*j**2/2 + 765*j - 2322.
-(j - 6)**2*(j + 258)/4
Factor -4*g**2 + 764*g + 34808.
-4*(g - 229)*(g + 38)
What is s in -2*s**4/11 + 447718*s**3/11 = 0?
0, 223859
Factor -2*r**2/9 + 314*r + 137240/9.
-2*(r - 1460)*(r + 47)/9
Factor -2*s**4 + 164*s**3 - 160*s**2 - 164*s + 162.
-2*(s - 81)*(s - 1)**2*(s + 1)
Factor -3*l**3 - 376560*l**2.
-3*l**2*(l + 125520)
Determine u, given that -u**5 + 1414*u**4 - 488422*u**3 - 8069588*u**2 - 39224185*u - 50100050 = 0.
-7, -2, 715
Factor 2*z**3 + 1107*z**2/4 + 19251*z/2 + 14283/4.
(z + 69)**2*(8*z + 3)/4
Factor -4*s**3 + 140*s**2 + 4000*s + 22000.
-4*(s - 55)*(s + 10)**2
Factor m**2/4 + 11*m/2 - 30155/4.
(m - 163)*(m + 185)/4
Factor 2*c**2/11 - 15728*c/11 + 15726/11.
2*(c - 7863)*(c - 1)/11
Factor 4*v**2 + 1140*v - 19264.
4*(v - 16)*(v + 301)
Find w, given that -w**2/3 - 17*w + 180 = 0.
-60, 9
Solve 2*a**4/15 + 29956*a**3/5 + 269566*a**2/5 + 2156432*a/15 + 95840 = 0 for a.
-44925, -4, -1
Factor 4*x**3 + 7152*x**2 + 3204084*x + 6379592.
4*(x + 2)*(x + 893)**2
What is a in 64*a**5/7 - 110048*a**4/7 + 43925572*a**3/7 + 2955654976*a**2/7 + 209940652*a + 26193496 = 0?
-58, -1/4, 889
Solve -2*a**2/13 + 256*a/13 - 1694/13 = 0.
7, 121
What is p in -5*p**3 - 1125*p**2 + 73410*p - 72280 = 0?
-278, 1, 52
Factor 5*x**3 - 25*x**2 - 8310*x + 65520.
5*(x - 39)*(x - 8)*(x + 42)
Solve u**5/2 + 105*u**4 - 766*u**3 - 1359*u**2 + 22267*u/2 - 9114 = 0.
-217, -4, 1, 3, 7
Find w, given that -4*w**3 - 28400*w**2 + 170508*w - 255816 = 0.
-7106, 3
Factor v**3/3 - 2534*v**2 - 45643*v/3 - 12680.
(v - 7608)*(v + 1)*(v + 5)/3
Factor -5*x**4 - 65*x**3 - 195*x**2 - 135*x.
-5*x*(x + 1)*(x + 3)*(x + 9)
Factor -r**3/11 - 82*r**2/11 - 2155*r/11 - 18354/11.
-(r + 21)*(r + 23)*(r + 38)/11
Suppose 2*o**4 - 120*o**3 + 2092*o**2 - 7992*o - 10206 = 0. What is o?
-1, 7, 27
What is w in -3*w**3/4 + 5613*w**2/4 - 31878*w = 0?
0, 23, 1848
Factor 127*j**2 + 128*j + 1.
(j + 1)*(127*j + 1)
Factor 13728*j**2 - 13732*j + 4.
4*(j - 1)*(3432*j - 1)
Factor -2*b**3/17 - 45726*b**2/17 - 262065696*b/17 - 8080153472/17.
-2*(b + 31)*(b + 11416)**2/17
Factor -3*j**2/2 - 18909*j/2 - 9453.
-3*(j + 1)*(j + 6302)/2
Solve -3*h**2/4 + 1905*h/2 + 11457/4 = 0 for h.
-3, 1273
What is v in v**2/2 - 20657*v/8 - 59455/4 = 0?
-23/4, 5170
Factor -5*x**5 - 170*x**4 - 1065*x**3 + 6460*x**2 - 7220*x.
-5*x*(x - 2)**2*(x + 19)**2
Suppose 21*x**3 - 972*x**2 + 2124*x - 528 = 0. What is x?
2/7, 2, 44
Suppose 92*t**2/5 + 648*t/5 - 27104/5 = 0. What is t?
-484/23, 14
Suppose -7*d**5/6 + 107*d**4/6 - 171*d**3/2 + 817*d**2/6 - 244*d/3 + 14 = 0. What is d?
2/7, 1, 6, 7
Factor -6*p**2/7 + 1054*p/7 + 352/7.
-2*(p - 176)*(3*p + 1)/7
Factor -162*c**4 - 4152*c**3 - 232412*c**2/9 + 89960*c/9 - 8450/9.
-2*(c + 13)**2*(27*c - 5)**2/9
Let o**4/3 + 1669*o**3/3 + 234067*o**2 + 1614633*o + 1381122 = 0. What is o?
-831, -6, -1
Determine k, given that -3*k**3/5 - 789*k**2/5 - 930*k - 6168/5 = 0.
-257, -4, -2
Factor 5*l**2 - 5240*l - 21040.
5*(l - 1052)*(l + 4)
Factor 4*o**2 - 46132*o - 138432.
4*(o - 11536)*(o + 3)
Determine u so that 2*u**4/7 - 192*u**3/7 - 7626*u**2/7 + 8192*u/7 + 2232 = 0.
-31, -1, 2, 126
Find k, given that k**2/9 - 94721*k/9 = 0.
0, 94721
Factor -5*z**5 - 115*z**4 + 1335*z**3 - 3265*z**2 + 3010*z - 960.
-5*(z - 6)*(z - 1)**3*(z + 32)
Let -3*u**5 + 30*u**4 + 60*u**3 - 270*u**2 - 297*u = 0. Calculate u.
-3, -1, 0, 3, 11
Factor 3*u**4 + 30*u**3 - 2952*u**2 + 16578*u - 24219.
3*(u - 23)*(u - 3)**2*(u + 39)
Factor -25*p**4 - 6290*p**3 + 2520*p**2.
-5*p**2*(p + 252)*(5*p - 2)
Let -4*m**2 + 24112*m + 48240 = 0. Calculate m.
-2, 6030
What is b in 5*b**2 - 155545*b + 1865820 = 0?
12, 31097
Let -16*g**3 - 1115*g**2 + 350*g = 0. What is g?
-70, 0, 5/16
Factor -125*x**3 + 245300*x**2 - 98105*x + 9810.
-5*(x - 1962)*(5*x - 1)**2
Suppose 4*q**5 - 8*q**4 - 104*q**3 - 224*q**2 - 188*q - 56 = 0. What is q?
-2, -1, 7
Let -4608*a**3 - 689856*a**2 + 201502*a - 14700 = 0. What is a?
-150, 7/48
Determine i, given that 2*i**4/7 + 1338*i**3/7 + 15810*i**2/7 + 27614*i/7 + 13140/7 = 0.
-657, -10, -1
Let 3*g**4 - 495*g**3 - 16686*g**2 - 165888*g - 505440 = 0. Calculate g.
-12, -6, 195
Determine d, given that 4*d**3 + 127876*d**2 + 255740*d + 127868 = 0.
-31967, -1
Factor -5*x**3 - 36225*x**2 - 506415*x - 1771595.
-5*(x + 7)**2*(x + 7231)
Solve 5*m**2 - 3476090*m + 604160084405 = 0.
347609
Solve 98*r**5 + 366380*r**4 + 345088976*r**3 + 4953888352*r**2 + 2746315936*r + 388308928 = 0 for r.
-1862, -14, -2/7
Solve -36*d**4 + 21165*d**3 + 1764*d**2 = 0.
-1/12, 0, 588
Find h such that -4*h**5 + 16*h**4 + 39344*h**3 - 2243848*h**2 + 37688020*h - 66715528 = 0.
-121, 2, 41
Let 58*s**3 + 54408*s**2 + 12761490*s + 879844 = 0. What is s?
-469, -2/29
Determine x, given that 1000*x**2 + 7560*x - 2358 = 0.
-393/50, 3/10
Suppose j**3 - 62481*j**2 - 249936*j - 249940 = 0. What is j?
-2, 62485
Factor -z**5 - 655*z**4/3 - 1298*z**3/3.
-z**3*(z + 2)*(3*z + 649)/3
Solve 4*d**4/5 - 168*d**3/5 + 356*d**2 - 3072*d/5 + 1456/5 = 0 for d.
1, 14, 26
Suppose 21*r**4 + 5643*r**3 + 15060*r**2 - 27108*r + 6384 = 0. Calculate r.
-266, -4, 2/7, 1
Solve 3*b**4/7 - 2913*b**3/7 - 1251*b**2 - 8763*b/7 - 2922/7 = 0 for b.
-1, 974
Factor -150*y**3 - 5392*y**2 - 33312*y + 1792.
-2*(y + 8)*(y + 28)*(75*y - 4)
Factor -5*t**4 + 85*t**3 + 5*t**2 - 85*t.
-5*t*(t - 17)*(t - 1)*(t + 1)
Find h such that 11*h**2/9 + 1184*h/9 + 391/3 = 0.
-1173/11, -1
Factor -2*r**3/9 - 64*r**2/3 + 1238*r/9 + 476/3.
-2*(r - 7)*(r + 1)*(r + 102)/9
Factor -s**4 - 4093*s**3 - 5593734*s**2 - 2565525852*s - 17685989496.
-(s + 7)*(s + 1362)**3
Determine p, given that -188*p**3/3 - 10238*p**2/3 + 5606*p/3 - 220/3 = 0.
-55, 2/47, 1/2
Let 600*r**4 + 23245*r**3 - 30035*r**2 + 6590*r - 400 = 0. Calculate r.
-40, 1/8, 2/15, 1
Suppose 75*s**3 + 1722*s**2 + 13152*s + 33408 = 0. What is s?
-8, -174/25
Factor -2*k**3 - 293704*k**2 - 587402*k - 293700.
-2*(k + 1)**2*(k + 146850)
Determine x, given that 2*x**4/13 - 882*x**3/13 - 13626*x**2/13 - 25110*x/13 + 221616/13 = 0.
-9, 3, 456
Let 4*d**2 - 7108*d + 568848 = 0. Calculate d.
84, 1693
Factor 5*v**5 + 2670*v**4 + 252000*v**3 - 29700000*v**2.
5*v**2*(v - 66)*(v + 300)**2
Factor 4*m**4 + 11884*m**3 + 11796720*m**2 + 3939717184*m + 27004047616.
4*(m + 7)*(m + 988)**3
Find b such that 44*b**4/5 + 2636*b**3/5 + 4908*b**2/5 - 241020*b + 109512/5 = 0.
-39, 1/11, 18
Suppose -3*j**5/4 + 93*j**4/4 - 303*j**3/4 - 597*j**2/4 + 405*j/2 = 0. What is j?
-2, 0, 1, 5, 27
Determine h so that 4*h**5/7 + 408*h**4/7 + 15552*h**3/7 + 262656*h**2/7 + 1658880*h/7 = 0.
-30, -24, 0
Determine z so that 2*z**2/7 + 436*z/7 = 0.
-218, 0
Find c, given that -c**5/4 + c**4/2 + 81*c**3/4 + 101*c**2/2 - 5*c - 66 = 0.
-6, -2, 1, 11
Factor x**3 + 12213*x**2 + 73242*x.
x*(x + 6)*(x + 12207)
Factor 242*a**2/5 - 218592*a/5 + 49362048/5.
2*(11*a - 4968)**2/5
Suppose 167*q**3 - 3342*q**2 + 16740*q - 200 = 0. What is q?
2/167, 10
Determine h, given that 2*h**2 + 3706*h + 3704 = 0.
-1852, -1
Let -64*a**5 + 9120*a**4 + 113756*a**3 - 63108*a**2 - 52312*a - 7392 = 0. Calculate a.
-12, -1/4, 1, 154
Factor 2*k**3 + 452*k**2 - 695360*k - 223641344.
2*(k - 622)*(k + 424)**2
Factor a**2/6 - 127*a/6 - 114