
Solve -14*k**5/5 + 14256*k**4/5 + 13530*k**3 - 26980*k**2 - 139176*k/5 + 49104/5 = 0 for k.
-6, -1, 2/7, 2, 1023
Solve -2*y**4/9 + 34*y**3/3 - 548*y**2/3 + 7040*y/9 + 7168/3 = 0 for y.
-2, 16, 21
Let -5*w**3/3 + 100*w**2 - 1140*w + 9200/3 = 0. What is w?
4, 10, 46
Let -3*q**5 - 3088*q**4 - 10261*q**3 - 1020*q**2 + 6156*q = 0. What is q?
-1026, -3, -1, 0, 2/3
Factor b**3 + 11310*b**2.
b**2*(b + 11310)
Factor m**4/6 + 7*m**3/3 - 163*m**2/6 + 140*m/3 - 22.
(m - 6)*(m - 1)**2*(m + 22)/6
What is f in 2*f**5/7 + 10*f**4 - 1198*f**3/7 + 2586*f**2/7 + 9036*f/7 + 5184/7 = 0?
-48, -1, 6, 9
Suppose 4*f**2 - 11568*f + 2153600 = 0. What is f?
200, 2692
Determine d so that -d**2/4 + 16275*d - 264875625 = 0.
32550
Suppose f**5 + 91*f**4 + 1119*f**3 - 1679*f**2 - 6356*f - 3648 = 0. What is f?
-76, -16, -1, 3
Factor 3*h**3 + 322413*h**2 - 2579448*h + 5158992.
3*(h - 4)**2*(h + 107479)
Find d such that -4*d**2 - 267344*d - 4467050896 = 0.
-33418
Factor -5*u**3 + 183320*u**2.
-5*u**2*(u - 36664)
Solve -2*o**4 + 402*o**3 + 1638*o**2 + 422*o - 2460 = 0 for o.
-3, -2, 1, 205
Factor -t**4 - 467*t**3 - 2278*t**2 + 14748*t - 16632.
-(t - 2)**2*(t + 9)*(t + 462)
Find a, given that -a**2/7 + 1944*a/7 + 85441/7 = 0.
-43, 1987
Let 3*s**5 + 435*s**4 + 846*s**3 - 1722*s**2 - 849*s + 1287 = 0. What is s?
-143, -3, -1, 1
Factor -208900*p**2 + 992315*p - 190.
-5*(4*p - 19)*(10445*p - 2)
Find h, given that 2*h**4/7 + 106660*h**3/7 - 60952*h**2 + 426672*h/7 = 0.
-53334, 0, 2
Factor -3*w**3 - 2415*w**2 + 57066*w - 54648.
-3*(w - 22)*(w - 1)*(w + 828)
Determine v so that 8*v**5 + 1956*v**4 + 35424*v**3 + 68580*v**2 - 966816*v + 1166400 = 0.
-225, -12, 3/2, 3
Let 15*v**4 + 591*v**3 - 50856*v**2 + 127164*v + 59040 = 0. Calculate v.
-82, -2/5, 3, 40
Find o, given that -o**5/3 + 3559*o**4 + 32051*o**3 + 224387*o**2/3 + 67676*o + 21372 = 0.
-6, -1, 10686
Solve 4*v**4 - 68*v**3 - 112*v**2 + 3152*v - 5376 = 0 for v.
-7, 2, 6, 16
Factor -3*y**2 - 230691*y - 230688.
-3*(y + 1)*(y + 76896)
Solve -g**2/2 - 83*g/2 - 741 = 0.
-57, -26
Factor -2*t**2 + 53532*t - 358209378.
-2*(t - 13383)**2
Determine j so that -5*j**5 - 5345*j**4 + 53885*j**3 - 70435*j**2 - 323880*j - 194220 = 0.
-1079, -1, 6
Factor 5*m**3 - 325*m**2 + 5260*m - 4940.
5*(m - 38)*(m - 26)*(m - 1)
Factor 2*m**2 + 233116*m + 699330.
2*(m + 3)*(m + 116555)
Suppose -4*f**5 + 7244*f**4 + 7252*f**3 - 7244*f**2 - 7248*f = 0. What is f?
-1, 0, 1, 1812
Let 2*r**2 - 2994*r + 8964 = 0. Calculate r.
3, 1494
Factor -2*y**4 - 14*y**3 + 36*y**2 + 216*y - 432.
-2*(y - 3)*(y - 2)*(y + 6)**2
Factor 5*f**3/4 + 1600*f**2 + 527625*f + 9922500.
5*(f + 20)*(f + 630)**2/4
Factor -2*a**4 - 972*a**3 - 108864*a**2 + 2286144*a.
-2*a*(a - 18)*(a + 252)**2
Factor -y**4/5 - 94*y**3/5 - 1291*y**2/5 + 1386*y/5.
-y*(y - 1)*(y + 18)*(y + 77)/5
Find a, given that a**5/4 - 27*a**4/4 + 155*a**3/4 + 183*a**2/4 - 243*a - 243 = 0.
-2, -1, 3, 9, 18
Determine n so that -4*n**4 + 74076*n**3 + 1556772*n**2 + 10900148*n + 25436880 = 0.
-7, 18540
Factor 2*d**2/11 + 35658*d/11 + 35656/11.
2*(d + 1)*(d + 17828)/11
Solve 1089*x**5/2 + 456951*x**4/2 + 23541975*x**3 - 89882628*x**2 - 48161664*x + 65035008 = 0.
-2328/11, -1, 2/3, 4
What is w in 4*w**4 + 124*w**3 - 4364*w**2 - 29100*w - 45000 = 0?
-50, -3, 25
Let b**2/5 - 179623*b/5 + 179622/5 = 0. Calculate b.
1, 179622
Factor -5*m**3 - 293925*m**2 - 881740*m - 587820.
-5*(m + 1)*(m + 2)*(m + 58782)
Determine y, given that -5*y**2 - 1100*y - 47495 = 0.
-161, -59
Factor 18*g**2/11 - 939144*g/11 + 12249881288/11.
2*(3*g - 78262)**2/11
Suppose 284*q**2/3 - 84*q - 32/3 = 0. What is q?
-8/71, 1
Factor k**2/2 + 122573*k + 15024140329/2.
(k + 122573)**2/2
Factor -u**3/4 - 75*u**2 - 147*u + 596.
-(u - 2)*(u + 4)*(u + 298)/4
Let w**5 + 31*w**4 - 7*w**3 - 223*w**2 - 186*w = 0. Calculate w.
-31, -2, -1, 0, 3
Suppose -47*r**4/2 - 103*r**3/2 + 19*r**2 + 56*r = 0. What is r?
-2, -56/47, 0, 1
Suppose 103370*z**4/17 + 2*z**3/17 - 1343810*z**2/17 + 1240414*z/17 + 24/17 = 0. Calculate z.
-4, -1/51685, 1, 3
Suppose 2*v**3/9 + 1238*v**2/9 + 208270*v/9 + 5047450/9 = 0. Calculate v.
-295, -29
Suppose p**4/6 + 153*p**3/2 + 18499*p**2/2 + 633097*p/6 - 248645 = 0. Calculate p.
-223, -15, 2
Suppose -2*o**2 - 15506*o - 15504 = 0. Calculate o.
-7752, -1
Factor -m**3/4 - 848*m**2 + 3393*m/4.
-m*(m - 1)*(m + 3393)/4
Factor -4*z**2 - 2228*z - 6648.
-4*(z + 3)*(z + 554)
Factor j**4/4 + 3683*j**3/2 + 7365*j**2/4.
j**2*(j + 1)*(j + 7365)/4
Let -9*f**3 - 696*f**2 - 5652*f + 4080 = 0. What is f?
-68, -10, 2/3
Suppose c**4/4 - 4535*c**3/4 - 43263*c**2/2 = 0. Calculate c.
-19, 0, 4554
Factor -3*w**3 + 240*w**2 - 1668*w - 4320.
-3*(w - 72)*(w - 10)*(w + 2)
Find a, given that 6*a**3/5 + 63*a**2/5 - 13389*a/5 + 6678/5 = 0.
-53, 1/2, 42
Factor -3*b**4 - 27*b**3 + 9135*b**2 + 224175*b.
-3*b*(b - 61)*(b + 35)**2
What is t in 2*t**3/7 + 208876*t**2/7 - 1044422*t/7 + 835544/7 = 0?
-104443, 1, 4
Determine u, given that u**5 - 64*u**4 + 1525*u**3 - 16550*u**2 + 80000*u - 140000 = 0.
5, 14, 20
Find w such that -2*w**5/7 - 432*w**4/7 - 21466*w**3/7 + 209236*w**2/7 + 68736*w + 35840 = 0.
-112, -1, 10
Find f such that f**3 - 89*f**2 + 2078*f - 11440 = 0.
8, 26, 55
Factor 3*j**4 - 66306*j**3 + 366572667*j**2 - 2197646064*j + 3295574208.
3*(j - 11048)**2*(j - 3)**2
Determine m so that -3*m**4 + 537*m**3 + 3873*m**2 + 6123*m + 2790 = 0.
-5, -1, 186
Determine q so that -11*q**5/5 - 828*q**4/5 + 11*q**3/5 + 828*q**2/5 = 0.
-828/11, -1, 0, 1
Determine v, given that -v**5/9 - 62*v**4/3 - 3023*v**3/3 - 171560*v**2/9 - 377200*v/3 = 0.
-123, -23, -20, 0
Determine o, given that 4*o**3/3 + 85012*o**2/3 + 150577504*o + 150549168 = 0.
-10626, -1
What is d in -d**2/5 - 5578*d/5 - 7778521/5 = 0?
-2789
Factor -4*z**3/9 - 652*z**2 - 242028*z - 2125764.
-4*(z + 9)*(z + 729)**2/9
Factor -2*m**3 + 81902*m**2 + 327632*m + 327640.
-2*(m - 40955)*(m + 2)**2
Determine m so that -278258*m**2/11 + 70124*m/11 - 4418/11 = 0.
47/373
Suppose z**3 + 468*z**2 + 1860*z + 1856 = 0. Calculate z.
-464, -2
Factor 5*h**4 - 585*h**3 + 5435*h**2 - 9135*h + 4280.
5*(h - 107)*(h - 8)*(h - 1)**2
Let 3*s**3/8 - 222*s**2 - 891*s/2 = 0. What is s?
-2, 0, 594
Let 5*b**2 - 32835*b + 65650 = 0. Calculate b.
2, 6565
Factor -4*v**2 + 199840*v - 2496001600.
-4*(v - 24980)**2
Factor 5*q**4 - 2660*q**3 + 72935*q**2.
5*q**2*(q - 503)*(q - 29)
Factor -2*z**3 - 1580*z**2 - 174464*z + 59421696.
-2*(z - 138)*(z + 464)**2
Factor -5*z**4 - 700*z**3 + 2195*z**2 + 7150*z.
-5*z*(z - 5)*(z + 2)*(z + 143)
Determine f so that -4*f**2 - 6280*f/3 = 0.
-1570/3, 0
Find s, given that 34*s**3 + 64*s**2 - 174*s - 180 = 0.
-3, -15/17, 2
Determine h, given that -8*h**5 + 50*h**4 - 8*h**3 - 242*h**2 + 104*h + 280 = 0.
-7/4, -1, 2, 5
Determine m, given that -3854*m**4/25 - 354572*m**3/25 - 1372392*m**2/25 - 1358032*m/25 - 1408/25 = 0.
-88, -2, -2/1927
Factor 4*a**3 - 1436*a**2 + 71008*a - 950208.
4*(a - 303)*(a - 28)**2
What is y in -14450*y**4/7 + 3295620*y**3/7 - 2782854*y**2 + 1362744*y/7 - 23976/7 = 0?
3/85, 6, 222
Find i, given that 1779307884649*i**3/9 + 1779302549021*i**2/9 - 5335624*i/9 + 4/9 = 0.
-1, 2/1333907
Factor 4*v**4 - 132*v**3 + 684*v**2 + 7220*v.
4*v*(v - 19)**2*(v + 5)
Factor 2*u**3/7 + 396*u**2/7 - 290*u.
2*u*(u - 5)*(u + 203)/7
Factor -4*i**2/7 - 1528*i/7 + 3072/7.
-4*(i - 2)*(i + 384)/7
Solve y**2/6 + 417*y - 7533/2 = 0.
-2511, 9
Factor 5*d**2 - 2620*d + 25700.
5*(d - 514)*(d - 10)
What is b in -4*b**5 - 188*b**4 + 9336*b**3 - 26224*b**2 - 800*b + 34944 = 0?
-78, -1, 2, 28
Solve -x**3 + 2753*x**2 + 5509*x + 2755 = 0 for x.
-1, 2755
Determine j so that j**5 + 24*j**4 - 181*j**3 - 2856*j**2 - 3492*j + 19440 = 0.
-27, -6, -5, 2, 12
Let -r**3/4 - 23647*r**2/2 - 94585*r/4 - 11823 = 0. What is r?
-47292, -1
Determine b so that b**3/2 - 148*b**2 + 7531*b/2 - 3618 = 0.
1, 27, 268
Find y such that -y**3/8 - 45*y**2/8 + 134*y + 5568 = 0.
-48, -29, 32
Factor 3*h**5 + 2253*h**4 + 426369*h**3 + 1265619*h**2 + 1261128*h + 419628.
3*(h + 1)**3*(h + 374)**2
Let n**2/3 + 58000*n/3 + 841000000/3 = 0. What is n?
-29000
Determine p, given that -5*p**3 - 22365*p**2 + 22380*p + 44740 = 0.
-4474, -1, 2
Let -c**5/2 - 147*c**4/2 - 6627*c**3/2 - 90577*c**2/2 - 207936*c - 165888 = 0. Calculate c.
-64, -9, -1
Determine u, given that -2*u**4/9 + 50*u**3/9 + 664