**3 - 28*g**2 + 328*g + 80 = 0.
-10, -1, -1/4, 2
Factor 3*g**2 - 363246*g - 726504.
3*(g - 121084)*(g + 2)
Determine c, given that 3*c**5/8 + 3111*c**4/8 + 360747*c**3/4 - 5639376*c**2 + 5548800*c = 0.
-544, 0, 1, 50
Find r, given that 8*r**2/13 - 8214*r/13 + 22528/13 = 0.
11/4, 1024
Determine w, given that w**2/2 - 38*w - 3317/2 = 0.
-31, 107
Find g, given that 3*g**4/5 - 459*g**3 + 55566*g**2/5 - 48696*g/5 - 21312 = 0.
-1, 2, 24, 740
Factor 4*n**3 + 1024*n**2 - 2064*n.
4*n*(n - 2)*(n + 258)
Let -4*a**3 - 2256*a**2 - 67964*a + 70224 = 0. What is a?
-532, -33, 1
Factor -z**3/3 - 209*z**2 - 43005*z - 8670325/3.
-(z + 157)*(z + 235)**2/3
What is b in 22*b**2 + 32542*b + 5916 = 0?
-1479, -2/11
Factor -2*y**2/9 - 1342*y/9 + 600.
-2*(y - 4)*(y + 675)/9
Suppose -4*j**4 - 456*j**3 - 1292*j**2 + 4440*j = 0. What is j?
-111, -5, 0, 2
Factor -h**5 + 202*h**4 - 13440*h**3 + 281792*h**2 + 961792*h - 7546368.
-(h - 68)**3*(h - 4)*(h + 6)
Factor -j**2/3 + 621958*j/3 - 96707938441/3.
-(j - 310979)**2/3
Suppose n**5/2 + 7751*n**4/2 + 7580969*n**3 + 275488171*n**2 + 1056497869*n/2 + 520675715/2 = 0. Calculate n.
-3857, -35, -1
Factor -400689*v**2/2 - 633*v - 1/2.
-(633*v + 1)**2/2
What is d in -3*d**2/2 - 170247*d - 9661347003/2 = 0?
-56749
Let -14*t**4/13 - 70582*t**3/13 + 30288*t**2/13 + 181528*t/13 + 80672/13 = 0. Calculate t.
-5042, -1, -4/7, 2
Let -2*g**3/7 - 1320*g**2/7 - 285000*g/7 - 20000000/7 = 0. What is g?
-250, -160
Let -1372*m**4 - 1455888*m**3 - 516416040*m**2 - 61739893008*m - 180611132508 = 0. Calculate m.
-2469/7, -3
Factor 2*y**2 + 28040*y + 98280200.
2*(y + 7010)**2
Factor 2*v**3/7 - 12204*v**2 + 912328320*v/7 - 1824314944/7.
2*(v - 21356)**2*(v - 2)/7
Factor m**3 + 16*m**2 - 3107*m - 15810.
(m - 51)*(m + 5)*(m + 62)
What is q in -4*q**2 - 41921*q - 10480 = 0?
-10480, -1/4
Solve -5*n**3 - 499030*n**2 - 12450548925*n + 49810180500 = 0 for n.
-49905, 4
Factor 2*i**3/13 + 3310*i**2/13 + 1364534*i/13 - 4123446/13.
2*(i - 3)*(i + 829)**2/13
Suppose -w**5/3 + 188*w**4/3 - 824*w**3 + 6298*w**2/3 - 5927*w/3 + 638 = 0. Calculate w.
1, 11, 174
Factor 2*m**2/3 + 5172*m + 62032/3.
2*(m + 4)*(m + 7754)/3
What is k in 4*k**4 + 2728*k**3 - 10956*k**2 + 13712*k - 5488 = 0?
-686, 1, 2
Suppose 2*k**2/5 - 300704*k/5 + 11302861952/5 = 0. Calculate k.
75176
Factor n**3/9 - 2306*n**2/3 + 1329409*n.
n*(n - 3459)**2/9
Determine h so that 5*h**4/4 - 247*h**3/4 + 196*h**2 - 17*h - 276 = 0.
-1, 2, 12/5, 46
Factor -s**2/3 - 18847*s/3 + 75404/3.
-(s - 4)*(s + 18851)/3
Factor 2*r**2/9 - 34936*r/9 + 152565512/9.
2*(r - 8734)**2/9
Let 120*u**4 + 2*u**3 - 1440*u**2 + 1896*u + 32 = 0. Calculate u.
-4, -1/60, 2
Suppose 3*m**3 + 90381*m**2 + 90372*m - 180756 = 0. What is m?
-30126, -2, 1
Solve -2*g**4/13 + 144*g**3/13 + 33888*g**2/13 - 209408*g - 878592 = 0.
-132, -4, 104
Find v such that 5*v**3 + 13545*v**2 + 81135*v + 121635 = 0.
-2703, -3
Find x such that 3*x**3 - 897*x**2 + 10365*x - 9471 = 0.
1, 11, 287
Suppose -3*y**4 - 198*y**3 + 651*y**2 + 1998*y - 4968 = 0. Calculate y.
-69, -3, 2, 4
Find v such that -1194552817936*v**2 + 13115472*v - 36 = 0.
3/546478
Find o such that 2*o**5 - 640*o**4 - 3238*o**3 - 3908*o**2 + 2584*o + 5200 = 0.
-2, 1, 325
Factor 5*j**4 + 5825*j**3 + 1705185*j**2 + 5005315*j - 16878050.
5*(j - 2)*(j + 5)*(j + 581)**2
Factor 2*r**3/13 + 170*r**2 + 463600*r/13 - 85583000/13.
2*(r - 115)*(r + 610)**2/13
Factor 4*j**3 + 616*j**2 + 612*j.
4*j*(j + 1)*(j + 153)
Find z, given that 2*z**2 - 22338*z + 445960 = 0.
20, 11149
Factor -3*g**2 + 1053*g + 14196.
-3*(g - 364)*(g + 13)
Find f such that 3*f**3/8 + 537*f**2/8 - 15483*f/8 + 103935/8 = 0.
-205, 13
Factor -5*g**4 + 301650*g**3 + 904980*g**2 + 904990*g + 301665.
-5*(g - 60333)*(g + 1)**3
Solve -4*x**3 + 192968*x**2 - 2327097584*x - 4654967072 = 0.
-2, 24122
Factor -24*n**3 + 772*n**2 - 6176*n + 1008.
-4*(n - 18)*(n - 14)*(6*n - 1)
Suppose l**4/5 - 69*l**3 + 1688*l**2/5 + 4116*l/5 - 2448 = 0. What is l?
-3, 2, 6, 340
Factor 2*y**2/21 - 4978*y/7 + 10660/3.
2*(y - 7462)*(y - 5)/21
Suppose -t**3/6 + 65*t**2/6 - 88*t/3 - 310/3 = 0. Calculate t.
-2, 5, 62
Let -15*q**4 + 940*q**3 + 2575*q**2 - 19680*q + 11700 = 0. Calculate q.
-6, 2/3, 3, 65
Factor -2*p**2/3 + 28*p/3 + 384.
-2*(p - 32)*(p + 18)/3
Factor 4*v**2 - 356*v + 4896.
4*(v - 72)*(v - 17)
Factor -h**2/3 + 356*h/3 + 19639.
-(h - 479)*(h + 123)/3
What is t in -3*t**4 - 42639*t**3 - 170508*t**2 = 0?
-14209, -4, 0
Let n**4 + 29*n**3 + 49*n**2 - 141*n - 162 = 0. Calculate n.
-27, -3, -1, 2
Suppose 5*a**5/3 - 1481*a**4 + 20362*a**3/3 - 26524*a**2/3 + 1176*a + 7072/3 = 0. What is a?
-2/5, 1, 2, 884
Suppose s**3/3 + 22*s**2/3 + 89*s/3 + 68/3 = 0. Calculate s.
-17, -4, -1
Let 2*b**5 + 78*b**4 - 570*b**3 - 1366*b**2 - 720*b = 0. Calculate b.
-45, -1, 0, 8
Factor -3*s**3 + 528*s**2 - 2076*s + 2064.
-3*(s - 172)*(s - 2)**2
Factor -2*x**3/3 - 6*x**2 + 44*x/3.
-2*x*(x - 2)*(x + 11)/3
Solve 3*s**4/7 - 258*s**3/7 + 5847*s**2/7 - 5412*s/7 - 302580/7 = 0 for s.
-6, 10, 41
Determine n, given that 102*n**3/5 - 481546*n**2/5 + 500324*n/5 - 3776 = 0.
2/51, 1, 4720
Suppose -2*b**4/5 + 4094*b**3/5 + 36978*b**2/5 + 12346*b - 20560 = 0. Calculate b.
-5, 1, 2056
Suppose 1119963*w**2 - 11709204*w + 30604908 = 0. What is w?
3194/611
Solve 36*w**4/5 - 7287*w**3/5 + 231876*w**2/5 - 94143*w/5 - 38142/5 = 0 for w.
-1/4, 2/3, 39, 163
Suppose -q**2/2 + 1183*q + 9496 = 0. Calculate q.
-8, 2374
Factor 2*a**3/3 - 4754*a**2/3 - 3172*a.
2*a*(a - 2379)*(a + 2)/3
Solve -3*d**5/7 - 37965*d**4/7 + 27129*d**3 + 37965*d**2/7 - 189900*d/7 = 0 for d.
-12660, -1, 0, 1, 5
What is m in m**5/2 + 19*m**4/2 - 4317*m**3/2 - 8719*m**2/2 + 2158*m + 4350 = 0?
-75, -2, -1, 1, 58
Solve -v**2/7 + 8304*v/7 - 17239104/7 = 0.
4152
Find v such that v**3 - 638*v**2 + 106673*v - 1547536 = 0.
16, 311
Factor -f**5 + 6*f**4 + 48*f**3 - 416*f**2 + 768*f.
-f*(f - 6)*(f - 4)**2*(f + 8)
Determine j, given that -2054*j**4 - 217728*j**3 - 429710*j**2 - 214452*j - 416 = 0.
-104, -1, -2/1027
Suppose 4*v**3 + 7768*v**2 + 4444160*v + 620821376 = 0. What is v?
-868, -206
Let d**5/4 + 99*d**4/4 + 3175*d**3/4 + 34437*d**2/4 + 14740*d - 145200 = 0. What is d?
-40, -11, 3
Solve n**5/3 - 39118*n**4/3 + 382437100*n**3/3 + 2296031032*n**2/3 + 1251968*n/3 - 12245499008/3 = 0 for n.
-4, 2, 19562
Factor 4*h**3 + 220*h**2 - 36*h - 1980.
4*(h - 3)*(h + 3)*(h + 55)
Let -25*x**4 - 4110*x**3 + 64385*x**2 - 170490*x - 78760 = 0. What is x?
-179, -2/5, 4, 11
Solve 2*d**4/3 + 374*d**3/3 + 4156*d**2 + 4032*d = 0 for d.
-144, -42, -1, 0
Solve -155*a**2 - 9790*a + 29040 = 0 for a.
-66, 88/31
Let -5*h**3 - 6275*h**2 - 280715*h - 3197805 = 0. Calculate h.
-1209, -23
Let -2*r**4 - 27652*r**3 - 95689682*r**2 - 764190672*r - 1527496992 = 0. What is r?
-6909, -4
Factor -2*o**2 - 1939292*o - 470106682658.
-2*(o + 484823)**2
Solve 7*g**2 + 3240*g + 31257 = 0 for g.
-453, -69/7
Factor -d**3/3 - 37*d**2/3 + 1264*d/3 + 2668/3.
-(d - 23)*(d + 2)*(d + 58)/3
Determine s, given that -4*s**5 + 80*s**4 + 268*s**3 - 14744*s**2 + 99840*s - 201600 = 0.
-14, 5, 12
Determine f so that -3*f**5 + 420*f**4 - 408*f**3 - 1254*f**2 + 411*f + 834 = 0.
-1, 1, 2, 139
Factor -2*n**2/15 - 80*n - 2360/3.
-2*(n + 10)*(n + 590)/15
Factor -4*f**3 - 8940*f**2.
-4*f**2*(f + 2235)
Let -4*n**5/5 - 15932*n**4/5 - 253884*n**3/5 + 15932*n**2/5 + 253888*n/5 = 0. Calculate n.
-3967, -16, -1, 0, 1
Find c such that -3*c**5/5 + 663*c**4/5 - 261*c**3 - 399*c**2 + 5268*c/5 - 2628/5 = 0.
-2, 1, 2, 219
Factor t**3/5 - 178*t**2/5 - 265*t + 1110.
(t - 185)*(t - 3)*(t + 10)/5
Find s, given that 5*s**4 + 60*s**3 - 95*s**2 - 390*s = 0.
-13, -2, 0, 3
Let 2*g**2 - 838*g + 67176 = 0. Calculate g.
108, 311
Factor f**3/3 - 74*f**2 + 703*f + 2332/3.
(f - 212)*(f - 11)*(f + 1)/3
Factor -z**3/7 + 1216*z**2/7 + 7327*z/7 + 6110/7.
-(z - 1222)*(z + 1)*(z + 5)/7
What is l in -3*l**3/8 - 681*l**2/4 + 1380*l - 2772 = 0?
-462, 4
Let 2*p**3/5 + 118*p**2 - 592*p/5 = 0. What is p?
-296, 0, 1
Factor c**3/2 - 58475*c**2/2 + 427459556*c - 1282115544.
(c - 29236)**2*(c - 3)/2
Suppose 2*m**2/3 - 1970*m/9 - 1100/3 = 0. What is m?
-5/3, 330
What is l in 3*l**2/8 - 759*l - 39975/2 = 0?
-26, 2050
Suppose -12*i**3 - 6969*i**2 - 12153*i + 3474 = 0. What is i?
-579, -2, 1/4
Suppose -3*l**4 - 108*l**3 - 1077*l**2 - 2340*l = 0. Calculate l.