 3
Determine c so that -3*c**4 - 585*c**3 - 1737*c**2 - 1731*c - 576 = 0.
-192, -1
Find u such that -2*u**2/5 - 62*u/5 = 0.
-31, 0
Factor -k**2/3 + 29*k + 88/3.
-(k - 88)*(k + 1)/3
Let 4*c**5 + 36*c**4 + 8*c**3 - 336*c**2 + 288*c = 0. What is c?
-6, 0, 1, 2
Factor 3*z**3 - 3*z**2.
3*z**2*(z - 1)
Find k, given that -2*k**4 + 7130*k**3 - 6351042*k**2 - 6372442*k + 12716356 = 0.
-2, 1, 1783
Suppose -d**4 + 4*d**3 + d**2 - 4*d = 0. What is d?
-1, 0, 1, 4
Let -2*w**4/5 + 28*w**3/15 + 158*w**2/15 + 28*w/15 - 32/5 = 0. What is w?
-3, -1, 2/3, 8
Solve 2*d**2 - 4288*d + 2298368 = 0.
1072
Solve 3*i**4 - 27*i**3 + 42*i**2 = 0 for i.
0, 2, 7
Determine q, given that 5*q**2 + 30*q = 0.
-6, 0
Suppose 22*m**5/19 + 730*m**4/19 - 6732*m**3/19 - 283816*m**2/19 - 2704*m = 0. What is m?
-26, -2/11, 0, 19
Suppose -3*i**2 + 33*i = 0. Calculate i.
0, 11
Suppose 2*n**3 + 158*n**2 - 6256*n - 527136 = 0. What is n?
-68, 57
Factor -2*g**4/9 + 1354*g**3/9 - 76162*g**2/3 - 25538*g.
-2*g*(g - 339)**2*(g + 1)/9
Find p such that 3*p**2/4 - 16545*p/4 - 4137 = 0.
-1, 5516
Factor 5*m**3 + 6830*m**2 + 6815*m - 13650.
5*(m - 1)*(m + 2)*(m + 1365)
Factor -4*j**2 - 448*j - 12544.
-4*(j + 56)**2
Let 2*o**2/9 + 92*o/9 = 0. What is o?
-46, 0
Suppose 4*s**5/5 + 148*s**4/5 + 2088*s**3/5 + 13608*s**2/5 + 37908*s/5 + 26244/5 = 0. What is s?
-9, -1
Let 2*s**4/11 - 46*s**3/11 - 52*s**2/11 + 96*s/11 = 0. What is s?
-2, 0, 1, 24
Let 4*o**2 - 9512*o + 5654884 = 0. Calculate o.
1189
What is o in 60*o**4 - 205*o**3 + 185*o**2 - 20*o - 20 = 0?
-1/4, 2/3, 1, 2
Suppose l**4 + 3*l**3 - 20*l**2 - 48*l + 64 = 0. What is l?
-4, 1, 4
Factor 4*r**2 + 6400*r - 12816.
4*(r - 2)*(r + 1602)
Determine l so that -5*l**2 - 150*l - 1125 = 0.
-15
Find l such that l**4 + 2*l**3 - 7*l**2 + 4*l = 0.
-4, 0, 1
Determine m so that 4*m**5/7 + 8*m**4/7 - 20*m**3/7 - 24*m**2/7 = 0.
-3, -1, 0, 2
Determine v so that v**5/5 - 8*v**4/5 + 2*v**3 + 28*v**2/5 - 11*v/5 - 4 = 0.
-1, 1, 4, 5
Factor 2*a**4 - 70*a**3 + 258*a**2 - 314*a + 124.
2*(a - 31)*(a - 2)*(a - 1)**2
Let -t**2/5 - 6*t/5 - 9/5 = 0. Calculate t.
-3
Determine b, given that -b**5/11 - 40*b**4/11 - 544*b**3/11 - 2626*b**2/11 - 1183*b/11 + 4394/11 = 0.
-13, -2, 1
Let -b**5/9 - 5*b**4 - 43*b**3/3 - 127*b**2/9 - 14*b/3 = 0. What is b?
-42, -1, 0
Factor -c**4/3 - 14*c**3/3 - 12*c**2 - 34*c/3 - 11/3.
-(c + 1)**3*(c + 11)/3
Solve -2*l**3 + 10*l**2 + 34*l - 42 = 0 for l.
-3, 1, 7
Find j, given that 8*j**5/3 - 7*j**4/3 - 3*j**3 + 7*j**2/3 + j/3 = 0.
-1, -1/8, 0, 1
Determine n, given that 3*n**4 + 24*n**3 + 15*n**2 - 42*n = 0.
-7, -2, 0, 1
Factor 10*t**3 + 45*t**2 + 35*t - 30.
5*(t + 2)*(t + 3)*(2*t - 1)
Factor -l**3/4 - 14*l**2 - 513*l/4 - 405/2.
-(l + 2)*(l + 9)*(l + 45)/4
Factor v**4/5 - 7*v**3/5 + 2*v**2.
v**2*(v - 5)*(v - 2)/5
What is z in -z**2/7 + 71*z/7 - 120 = 0?
15, 56
Solve 3*n**2 - 1290*n + 1287 = 0.
1, 429
Suppose -2*m**4/13 + 2480*m**3/13 - 761324*m**2/13 - 4635120*m/13 - 6986322/13 = 0. What is m?
-3, 623
Factor -5*c**4 - 20*c**3 - 10*c**2 + 20*c + 15.
-5*(c - 1)*(c + 1)**2*(c + 3)
Factor -5*r**5 - 455*r**4 - 895*r**3 - 445*r**2.
-5*r**2*(r + 1)**2*(r + 89)
Factor 2*w**2 - 106*w - 220.
2*(w - 55)*(w + 2)
Solve 2*b**4/13 - 6*b**3/13 + 4*b**2/13 = 0.
0, 1, 2
What is o in 48*o**5 + 17640*o**4 + 8811*o**3 + 1101*o**2 = 0?
-367, -1/4, 0
What is w in 2*w**2/9 - 736*w/9 + 488/3 = 0?
2, 366
Factor 5*v**2 + 45*v - 5850.
5*(v - 30)*(v + 39)
Determine u so that -5*u**4 + 50*u**3 - 40*u**2 - 50*u + 45 = 0.
-1, 1, 9
Find w, given that 3*w**2/7 - 417*w/7 = 0.
0, 139
Find y, given that -4*y**4 - 300*y**3 - 297*y**2 - 74*y = 0.
-74, -1/2, 0
Determine u so that 5*u**4 + 85*u**3 - 15*u**2 - 265*u - 170 = 0.
-17, -1, 2
Find o, given that -3*o**2 - 93*o - 252 = 0.
-28, -3
Factor -34*t**3 + 40*t**2 - 6*t.
-2*t*(t - 1)*(17*t - 3)
Factor -2*m**3 - 78*m**2 - 220*m - 144.
-2*(m + 1)*(m + 2)*(m + 36)
Solve -88*b**4 + 172*b**3 + 8*b**2 = 0 for b.
-1/22, 0, 2
Determine m, given that -50*m**5/9 + 104*m**4/9 - 58*m**3/9 + 4*m**2/9 = 0.
0, 2/25, 1
Factor 5*q**4 - 135*q**3 + 370*q**2 - 240*q.
5*q*(q - 24)*(q - 2)*(q - 1)
Factor 2*k**2/9 + 80*k/9 + 74/3.
2*(k + 3)*(k + 37)/9
Factor -2*q**2 - 152*q.
-2*q*(q + 76)
Let 3*b**4 + 45*b**3 + 63*b**2 - 1617*b - 6174 = 0. What is b?
-7, 6
Factor 2*q**4/9 - 2*q**3 - 14*q**2/3 - 22*q/9.
2*q*(q - 11)*(q + 1)**2/9
Let 25*r**5/4 + 45*r**4/4 + 6*r**3 + r**2 = 0. Calculate r.
-1, -2/5, 0
Find b such that -5*b**2 + 25*b + 120 = 0.
-3, 8
Suppose v**4 + 15*v**3/4 - 25*v/4 + 3/2 = 0. What is v?
-3, -2, 1/4, 1
Factor v**2 + 84*v + 1764.
(v + 42)**2
Suppose -4*p**2 - 12*p + 216 = 0. What is p?
-9, 6
Determine t, given that -3*t**5 - 36*t**4 - 90*t**3 + 84*t**2 + 261*t - 216 = 0.
-8, -3, 1
Solve w**4 - 32*w**3 + 117*w**2 - 142*w + 56 = 0 for w.
1, 2, 28
What is c in 2*c**3 + 76*c**2 + 74*c = 0?
-37, -1, 0
Factor 5*r**2 + 195*r - 200.
5*(r - 1)*(r + 40)
Factor -4*s**2 - 976*s - 1936.
-4*(s + 2)*(s + 242)
Factor 2*g**2/11 - 218*g/11.
2*g*(g - 109)/11
Factor 3*p**2/2 + 1287*p/2 + 1281.
3*(p + 2)*(p + 427)/2
Factor -j**4 - 17*j**3 + j**2 + 17*j.
-j*(j - 1)*(j + 1)*(j + 17)
Let g**4/4 - 285*g**3/2 + 569*g**2/4 = 0. Calculate g.
0, 1, 569
Determine r, given that r**2/3 - 3 = 0.
-3, 3
Determine l, given that -5*l**4 + 5*l**3 + 20*l**2 - 20*l = 0.
-2, 0, 1, 2
Let x**5 + 3*x**4 - 18*x**3 - 22*x**2 + 81*x - 45 = 0. Calculate x.
-5, -3, 1, 3
Factor -h**2 - 3050*h - 2325625.
-(h + 1525)**2
Suppose 3*b**2/8 + 15*b/8 + 3/2 = 0. What is b?
-4, -1
Let f**5/7 - 94*f**4/7 + 2113*f**3/7 + 4512*f**2/7 + 2304*f/7 = 0. What is f?
-1, 0, 48
Solve -3*p**5/4 - 5*p**4/4 + 17*p**3/4 + 13*p**2/4 - 3*p/2 = 0 for p.
-3, -1, 0, 1/3, 2
Solve -4*h**5 - 11*h**4 - h**3 + 13*h**2 + 5*h - 2 = 0 for h.
-2, -1, 1/4, 1
Solve b**2/2 + 397*b/2 - 199 = 0 for b.
-398, 1
Factor h**3/2 + 1315*h**2/2 + 2627*h/2 + 1313/2.
(h + 1)**2*(h + 1313)/2
Factor 2*x**2 + 22*x + 56.
2*(x + 4)*(x + 7)
Determine t so that 2*t**4/5 + 8*t**3 + 96*t**2/5 - 1152*t/5 = 0.
-12, 0, 4
Factor 5*g**5 - 35*g**4 + 85*g**3 - 85*g**2 + 30*g.
5*g*(g - 3)*(g - 2)*(g - 1)**2
Factor -i**4/3 + 8*i**3/3 - 11*i**2/3 - 20*i/3.
-i*(i - 5)*(i - 4)*(i + 1)/3
Let -5*n**3 - 15*n**2 + 125*n - 105 = 0. What is n?
-7, 1, 3
Suppose l**3 - 13*l**2/2 + 3*l = 0. Calculate l.
0, 1/2, 6
Factor -4*h**3 + 20*h**2 + 352*h + 832.
-4*(h - 13)*(h + 4)**2
Factor n**5/2 + 10*n**4 - 43*n**3/2 + 11*n**2.
n**2*(n - 1)**2*(n + 22)/2
Suppose -3*o**2 - 90*o - 168 = 0. What is o?
-28, -2
Factor 2*v**3/13 - 500*v**2/13 - 506*v/13 + 1004/13.
2*(v - 251)*(v - 1)*(v + 2)/13
Find n such that 3*n**4 + 2193*n**3 + 399672*n**2 - 401868*n = 0.
-366, 0, 1
Factor 6*a**3 - 26*a**2 + 16*a + 24.
2*(a - 3)*(a - 2)*(3*a + 2)
Find a, given that 2*a**4 - 120*a**3 - 1974*a**2 + 150212*a = 0.
-34, 0, 47
Factor 6*z**2/7 + 62*z/7 + 8.
2*(z + 1)*(3*z + 28)/7
Factor -r**5/6 - 73*r**4/6 + 75*r**3/2 - 227*r**2/6 + 38*r/3.
-r*(r - 1)**3*(r + 76)/6
Suppose -17*s**2 - 53*s - 36 = 0. What is s?
-36/17, -1
Determine v so that -3*v**5 + 156*v**4 - 447*v**3 + 294*v**2 = 0.
0, 1, 2, 49
Let 3*k**4 - 78*k**3 - 96*k**2 + 414*k - 243 = 0. Calculate k.
-3, 1, 27
Solve 3*g**4 - 131*g**3 - 179*g**2 - 45*g = 0.
-1, -1/3, 0, 45
Factor q**2/2 - 71*q/2 - 36.
(q - 72)*(q + 1)/2
Factor 2*y**4/3 - 2*y**2/3.
2*y**2*(y - 1)*(y + 1)/3
Factor x**2/2 - 17*x + 33/2.
(x - 33)*(x - 1)/2
What is g in 15*g**3 - 66*g**2 + 69*g - 18 = 0?
2/5, 1, 3
Determine w so that -999045*w**2/4 + 2235*w - 5 = 0.
2/447
Factor -4*t**2 - 8156*t + 8160.
-4*(t - 1)*(t + 2040)
Factor 2*b**3/13 - 50*b**2/13 - 108*b/13.
2*b*(b - 27)*(b + 2)/13
Determine t so that -1125*t**5 + 3075*t**4 - 1370*t**3 - 540*t**2 - 40*t = 0.
-2/15, 0, 1, 2
Suppose o**4/7 + 44*o**3/7 + 243*o**2/7 - 1584*o/7 + 1296/7 = 0. What is o?
-36, -12, 1, 3
Factor -n**5 + 5*n**4 + 3*n**3 - 17*n**2 + 10*n.
-n*(n - 5)*(n - 1)**2*(n + 2)
Let s**4 + 4*s**3 - 256*s**2 + 1280*s = 0. Calculate s.
-20, 0, 8
Factor -w**2/8 + 7*w/8 + 9/4.
-(w - 9)*(w + 2)/8
Factor -2*i**2/3 - 1685*i/2 + 632/3.
-(i + 1264)*(4*i - 1)/6
Factor -z**4 + 51*z**3 - 675*z**2 + 625*z.
-z*(z - 25)**2*(z - 1)
Determine j so that -22*j**3/7 - 202*j**2/7 - 432*j/7 - 72/7 = 0.
-6, -3, -2/11
Find h, given that -h**4/2 + 7*h**3/2 + 3*h**2/2 - 23*h/2 + 7 = 0.
-2, 1, 7
Factor -5*j**2 - 41880*j - 87696720.
-5*(j + 4188)**2
Let 2*