43118*n**2/5 - 1477634736*n + 1477683360.
-2*(n - 1)*(n + 60780)**2/5
Suppose 8*b**4 + 3914*b**3 + 956*b**2 - 10746*b + 5868 = 0. What is b?
-489, -2, 3/4, 1
Factor i**5 - 224*i**4 - 1371*i**3 - 2066*i**2 - 920*i.
i*(i - 230)*(i + 1)**2*(i + 4)
Suppose -2*c**5/7 + 94*c**4/7 + 2706*c**3/7 + 554*c**2/7 - 22816*c + 56280 = 0. What is c?
-14, 3, 5, 67
Factor 2*x**3/13 - 9774*x**2/13 + 11946270*x/13 - 11936498/13.
2*(x - 2443)**2*(x - 1)/13
Factor -4*w**3 + 1097704*w**2.
-4*w**2*(w - 274426)
Factor -4*l**3 + 48*l**2 - 44*l.
-4*l*(l - 11)*(l - 1)
Solve -5*y**2/2 + 245685*y - 12072223845/2 = 0.
49137
Determine a, given that 3*a**2/4 - 3321*a/2 + 6639/4 = 0.
1, 2213
Find k such that 20*k**4 + 352*k**3 - 4076*k**2 - 9400*k = 0.
-25, -2, 0, 47/5
Factor r**4 + 53063*r**3 - 159198*r**2.
r**2*(r - 3)*(r + 53066)
Factor -4*z**3 + 12984*z**2 + 65004*z + 52016.
-4*(z - 3251)*(z + 1)*(z + 4)
Determine w so that 2*w**5/5 + 20*w**4 - 1042*w**3/5 - 6812*w**2/5 - 11704*w/5 - 6032/5 = 0.
-58, -2, -1, 13
Factor 4*u**3 - 116*u**2 - 2704*u + 2816.
4*(u - 44)*(u - 1)*(u + 16)
Determine s so that -5*s**4 + 375*s**3 - 135*s**2 - 74115*s + 437400 = 0.
-15, 9, 72
Find g such that -35649*g**3 + 118803*g**2 - 98935*g - 75 = 0.
-3/3961, 5/3
Let -4*q**3 + 400*q**2 + 8512*q - 1201408 = 0. Calculate q.
-52, 76
Find k, given that -k**5/4 + 2*k**4 + 823*k**3/4 - 1267*k**2/2 - 44919*k - 85698 = 0.
-18, -2, 23
Find j such that j**4/7 - 28204*j**3/7 + 198894606*j**2/7 - 397704604*j/7 + 198838201/7 = 0.
1, 14101
Determine v so that v**2/11 - 1123*v/11 = 0.
0, 1123
Find i such that -3*i**4 + 9312*i**3 - 7216794*i**2 - 14461536*i - 7235427 = 0.
-1, 1553
Solve -4*g**5/3 - 112*g**4/3 - 132*g**3 + 3088*g**2/3 + 3760*g/3 - 2112 = 0.
-22, -9, -2, 1, 4
Factor -3*s**3/2 - 253371*s**2/2 - 506733*s/2 - 253365/2.
-3*(s + 1)**2*(s + 84455)/2
Determine i so that -2*i**5/15 + 2*i**4/15 + 12*i**3 - 308*i**2/15 - 4018*i/15 + 686 = 0.
-7, 3, 5, 7
Suppose 2*g**4/3 + 706*g**3/3 + 1164*g**2 + 1392*g = 0. Calculate g.
-348, -3, -2, 0
Find o, given that 3*o**4/8 + 405*o**3/2 + 6399*o**2/8 - 8889*o/4 - 6030 = 0.
-536, -5, -2, 3
Factor 8*w**3 - 110*w**2 + 332*w + 90.
2*(w - 9)*(w - 5)*(4*w + 1)
Find j such that 2*j**3 - 966*j**2 - 18074*j + 19038 = 0.
-19, 1, 501
Suppose 3*l**3 + 1764*l**2 + 8763*l + 10494 = 0. Calculate l.
-583, -3, -2
Let -105*f**4 - 23795*f**3 + 33040*f**2 - 4580*f - 4560 = 0. What is f?
-228, -2/7, 2/3, 1
Determine u, given that 2*u**2/9 + 221488*u/9 - 442984/9 = 0.
-110746, 2
Suppose -3*r**3 + 177*r**2 + 1386*r = 0. Calculate r.
-7, 0, 66
Determine o so that -2*o**4/9 + 3580*o**3/9 - 1598458*o**2/9 - 3222016*o/9 + 1605632/3 = 0.
-3, 1, 896
Factor d**2/4 + 103091*d/4 + 51545/2.
(d + 1)*(d + 103090)/4
Find c, given that -2*c**3 + 2624*c**2 - 18270*c = 0.
0, 7, 1305
Determine h, given that -h**5/2 + 11*h**4 + 225*h**3/2 + 227*h**2 - 50*h - 300 = 0.
-5, -2, 1, 30
Solve 51*c**2/2 + 7488*c - 15078 = 0.
-5026/17, 2
Determine q, given that 2*q**5/7 + 1938*q**4/7 + 9650*q**3/7 + 9630*q**2/7 - 9652*q/7 - 11568/7 = 0.
-964, -3, -2, -1, 1
Factor 5*v**3 - 1200*v**2 - 23220*v.
5*v*(v - 258)*(v + 18)
Factor -2*c**3 + 526*c**2 - 24108*c - 164016.
-2*(c - 201)*(c - 68)*(c + 6)
What is f in f**5/3 - 52*f**4 + 287*f**3/3 + 1072*f**2 + 924*f = 0?
-3, -1, 0, 6, 154
Factor -4*a**2 + 175832*a - 1932305764.
-4*(a - 21979)**2
Factor -d**5/3 - 1123*d**4 - 4488*d**3 - 13460*d**2/3.
-d**2*(d + 2)**2*(d + 3365)/3
Determine p so that -8*p**4/9 + 382*p**3 + 2588*p**2/3 + 5182*p/9 + 96 = 0.
-1, -1/4, 432
Solve m**2/3 - 6166*m/3 - 4112 = 0.
-2, 6168
What is s in -5*s**2 - 1990*s - 9825 = 0?
-393, -5
What is h in 2*h**4/17 - 176*h**3/17 + 1914*h**2/17 - 6948*h/17 + 8208/17 = 0?
3, 6, 76
Find n, given that -25*n**5 - 1570*n**4 - 33135*n**3 - 243010*n**2 - 167860*n + 43560 = 0.
-22, -18, -1, 1/5
Factor 3*r**3 - 1392*r**2 + 4149*r.
3*r*(r - 461)*(r - 3)
What is p in 2*p**3/3 - 206*p**2 - 3764*p/3 - 1680 = 0?
-4, -2, 315
Find d, given that -8*d**4 - 652*d**3 + 308871*d**2/2 + 232740*d + 174825/2 = 0.
-185, -3/4, 105
Factor -4*n**3 + 4600*n**2 - 1336192*n + 7852416.
-4*(n - 572)**2*(n - 6)
Factor -2*y**2/3 - 540*y - 192850/3.
-2*(y + 145)*(y + 665)/3
Factor -2*y**3/9 + 2222*y**2/9 - 8864*y/9 + 984.
-2*(y - 1107)*(y - 2)**2/9
Suppose 3469*r**2 + 33*r = 0. Calculate r.
-33/3469, 0
Determine i so that -9*i**5/2 - 57*i**4/2 + 12*i**3 + 186*i**2 - 120*i = 0.
-5, -4, 0, 2/3, 2
Factor 212*w**2 - 6368*w/5 + 48/5.
4*(w - 6)*(265*w - 2)/5
Solve -3*j**3 + 8244*j**2 + 57855*j = 0 for j.
-7, 0, 2755
Suppose -12*l**4 - 88*l**3 + 1908*l**2 - 6768*l + 6480 = 0. Calculate l.
-18, 5/3, 3, 6
Factor -o**2 + 508*o + 3605.
-(o - 515)*(o + 7)
Solve -2*n**4/11 + 20362*n**3/11 - 101756*n**2/11 - 40752*n/11 + 488448/11 = 0 for n.
-2, 3, 4, 10176
Factor -3*f**3 + 2145*f**2 - 240825*f + 7414875.
-3*(f - 585)*(f - 65)**2
Factor 5*n**3 - 76555*n**2 + 293301160*n - 2049358640.
5*(n - 7652)**2*(n - 7)
Find n such that -11230*n**5 - 291976*n**4 - 1886536*n**3 + 292652*n**2 + 1897766*n - 676 = 0.
-13, -1, 2/5615, 1
Factor -2*j**3 + 460*j**2 - 25506*j - 109512.
-2*(j - 117)**2*(j + 4)
Find x, given that -4*x**3 + 2490*x**2 + 8754*x + 6260 = 0.
-5/2, -1, 626
Suppose -j**2/3 - 11341*j/3 - 3780 = 0. Calculate j.
-11340, -1
Factor 473782244395*z**4 - 1558836075*z**3 + 1709625*z**2 - 625*z.
5*z*(4559*z - 5)**3
Find v such that -2*v**5 - 164*v**4 - 278*v**3 + 3484*v**2 + 10000*v + 6400 = 0.
-80, -4, -2, -1, 5
Let -2*x**5/11 - 18*x**4 - 6376*x**3/11 - 79240*x**2/11 - 254400*x/11 + 80000 = 0. Calculate x.
-50, -20, -11, 2
Solve r**4 + 25*r**3 + 167*r**2 + 143*r = 0.
-13, -11, -1, 0
What is f in -f**4/10 - 9222*f**3/5 - 16994295*f**2/2 + 340337914*f/5 - 127678614 = 0?
-9226, 3, 5
Factor v**4 - 306*v**3 - 4099*v**2 - 15276*v - 11484.
(v - 319)*(v + 1)*(v + 6)**2
Let 7*s**2/6 - 85*s - 7225/6 = 0. Calculate s.
-85/7, 85
Determine f, given that -2*f**4/3 - 6*f**3 + 2588*f**2/3 + 8384*f - 20160 = 0.
-35, -12, 2, 36
Find m such that -m**3 - 362*m**2 - 16067*m + 16430 = 0.
-310, -53, 1
Let -d**4 - 28*d**3 + 2210*d**2 - 12396*d + 18135 = 0. What is d?
-65, 3, 31
Let -3*c**2/4 + 534*c - 51525/4 = 0. What is c?
25, 687
Determine c so that 2*c**4/3 + 17*c**3 + 70*c**2 - 275*c/3 - 500 = 0.
-20, -5, -3, 5/2
Factor -3*u**2 + 25767*u.
-3*u*(u - 8589)
Factor 5*b**3 + 5*b**2 - 300*b + 540.
5*(b - 6)*(b - 2)*(b + 9)
Let 2*h**5/3 + 214*h**4/3 - 2170*h**3 + 11930*h**2/3 + 6508*h/3 - 4048 = 0. Calculate h.
-132, -1, 1, 2, 23
Find c such that c**2/6 + 37817*c + 4290376467/2 = 0.
-113451
Determine h, given that -33*h**5/4 - 171*h**4/4 - 183*h**3/4 + 171*h**2/4 + 54*h = 0.
-3, -24/11, -1, 0, 1
Factor 2*d**3/3 + 1270*d**2/3 + 87642*d + 5865534.
2*(d + 149)*(d + 243)**2/3
Factor 5*g**3 - 175*g**2 - 57330*g.
5*g*(g - 126)*(g + 91)
Let 4*c**3 - 1716*c**2 = 0. Calculate c.
0, 429
Determine f, given that -5*f**2 - 527075*f = 0.
-105415, 0
Factor 3*o**3 - 173256*o**2 + 2501470128*o.
3*o*(o - 28876)**2
Find a such that -25*a**3/4 - 7035*a**2/4 + 9996*a - 14063 = 0.
-287, 14/5
Factor p**2/7 + 44288*p/7 + 490356736/7.
(p + 22144)**2/7
Factor 5*s**3/2 + 71115*s**2/2 - 35560*s.
5*s*(s - 1)*(s + 14224)/2
Solve -4*h**3 + 77464*h**2 - 375041956*h = 0.
0, 9683
Suppose -f**4/2 - 211*f**3/2 - 12019*f**2/2 - 91809*f/2 = 0. Calculate f.
-101, -9, 0
Factor 31*v**3 + 277*v**2/2 - 130*v - 475/2.
(v + 1)*(v + 5)*(62*v - 95)/2
Let 38*j**3/9 + 2992*j**2/9 - 95926*j/9 - 32960/3 = 0. What is j?
-103, -1, 480/19
Solve -2*v**2/15 + 228908*v/5 + 686726/15 = 0 for v.
-1, 343363
Factor -m**3/10 + 239*m**2/10 - 1642*m/5 - 8512/5.
-(m - 224)*(m - 19)*(m + 4)/10
Factor -2*y**2 - 1010*y - 5988.
-2*(y + 6)*(y + 499)
Solve -s**5 - 2732*s**4 + 3*s**3 + 8194*s**2 - 5464*s = 0 for s.
-2732, -2, 0, 1
Determine t, given that t**5/4 + 33*t**4 + 455*t**3 - 1044*t**2 = 0.
-116, -18, 0, 2
Factor -2*r**2 - 448*r.
-2*r*(r + 224)
What is y in 4*y**2/5 - 444*y/5 - 9288/5 = 0?
-18, 129
Suppose 2*g**5 - 122*g**4 + 1084*g**3 - 3328*g**2 + 3264*g = 0. What is g?
0, 2, 4, 51
Factor -4*h**3 + 53260*h**2 - 177262592*h - 177315856.
-4*(h - 6658)**2*(h + 1)
Let 5*j**2 - 9535*j + 28560 = 0. What is j?
3, 1904
Let 3*h**4 + 879*h**3 + 10917*h**2 - 879*h - 10920 = 0. What is h?
-280, -13, -1, 1
Let q**3/11 + 93*q**2/11 + 444*q/11 + 32 = 0. What is q?
