b**4/2 + 62728*b**3 - 1530*b**2 = 0.
-765, 0, 2/41
Suppose 5*i**2/2 + 8360*i = 0. What is i?
-3344, 0
Find k such that -5*k**5 - 248*k**4/3 - 1054*k**3/3 - 1636*k**2/3 - 947*k/3 - 44 = 0.
-11, -3, -4/3, -1, -1/5
Factor 4*z**3 - 344*z**2 + 332*z + 680.
4*(z - 85)*(z - 2)*(z + 1)
Factor 5*d**2 - 16310*d - 32640.
5*(d - 3264)*(d + 2)
Solve 2*w**2/21 + 580*w/21 - 1184/7 = 0.
-296, 6
Let w**2 - 3119*w + 24888 = 0. Calculate w.
8, 3111
Factor 12*m**2 + 235700*m - 550032.
4*(m + 19644)*(3*m - 7)
Let v**4 - 86*v**3 - 607*v**2 + 5060*v = 0. Calculate v.
-11, 0, 5, 92
Let 5345*x**2 - 37400*x - 105 = 0. What is x?
-3/1069, 7
Factor 3*h**2 + 1497*h + 43524.
3*(h + 31)*(h + 468)
Suppose h**3 - 134*h**2 + 4209*h + 19044 = 0. Calculate h.
-4, 69
Let 49*w**5/4 + 13503*w**4/4 + 189151*w**3/4 + 731445*w**2/4 + 93226*w + 12789 = 0. Calculate w.
-261, -7, -2/7
Let -4*h**5 - 168*h**4 + 1584*h**3 + 16416*h**2 - 196992*h + 497664 = 0. What is h?
-48, -12, 6
Factor -3*c**5 + 2811*c**4 + 16947*c**3 + 25461*c**2.
-3*c**2*(c - 943)*(c + 3)**2
Factor 2*k**2 - 610*k - 12312.
2*(k - 324)*(k + 19)
Let -3*i**5 - 183*i**4 - 3921*i**3 - 34881*i**2 - 121968*i - 143748 = 0. Calculate i.
-22, -11, -3
Let 2*y**2/17 + 922*y/17 - 15264/17 = 0. Calculate y.
-477, 16
Let -2*l**5/9 - 15668*l**4/9 - 30670106*l**3/9 + 20462408*l**2/3 - 3411272*l = 0. What is l?
-3918, 0, 1
Find p such that p**3/7 - 427373*p**2/7 + 45662133968*p/7 - 45661706596/7 = 0.
1, 213686
Determine n, given that n**4 - 104657*n**3/2 - 261651*n**2/2 - 209323*n/2 - 52331/2 = 0.
-1, -1/2, 52331
Factor -2*k**2/5 - 238786*k/5 + 238788/5.
-2*(k - 1)*(k + 119394)/5
Factor 2*n**2/5 - 27408*n + 469499040.
2*(n - 34260)**2/5
Determine p, given that -2*p**5 + 124*p**4 - 1508*p**3 + 4720*p**2 - 5402*p + 2068 = 0.
1, 2, 11, 47
Let -2*v**3/15 - 248*v**2/15 - 3042*v/5 - 6048 = 0. Calculate v.
-63, -45, -16
Factor 5*w**2 - 465*w - 3500.
5*(w - 100)*(w + 7)
Factor -s**3/6 + 17557*s/6 + 2926.
-(s - 133)*(s + 1)*(s + 132)/6
Determine f, given that 2*f**3/3 + 2900*f**2 + 26086*f/3 + 5796 = 0.
-4347, -2, -1
Factor 5*b**3 - 13685*b**2 + 81930*b.
5*b*(b - 2731)*(b - 6)
Let -9*j**4 + 23428*j**3 - 72821*j**2 + 54602*j - 5200 = 0. What is j?
1/9, 1, 2, 2600
Solve -4*g**2/7 - 275416*g/7 - 275412/7 = 0 for g.
-68853, -1
Factor z**2/4 - 27337*z/4 - 68355/2.
(z - 27342)*(z + 5)/4
Determine l, given that -3*l**3/7 - 195*l**2/7 - 912*l/7 - 720/7 = 0.
-60, -4, -1
Factor -5*q**2 + 16150*q + 210795.
-5*(q - 3243)*(q + 13)
Suppose 5*h**4 + 34805*h**3 + 104370*h**2 = 0. Calculate h.
-6958, -3, 0
What is i in -4*i**2 - 601832*i - 22637609764 = 0?
-75229
Factor h**3/5 + 851*h**2/5 + 14103*h + 308205.
(h + 45)**2*(h + 761)/5
Solve -4*j**3/5 - 2898*j**2/5 + 42958*j/5 + 70944/5 = 0.
-739, -3/2, 16
Solve 2*i**2 - 1321*i/3 + 2570 = 0.
6, 1285/6
Factor 2*b**2 + 9924*b - 29790.
2*(b - 3)*(b + 4965)
Find m, given that 12482*m**4/3 + 17538*m**3 + 184*m**2/3 - 15616*m - 6144 = 0.
-4, -48/79, 1
Factor -5*f**3 + 32285*f**2 + 290930*f + 258640.
-5*(f - 6466)*(f + 1)*(f + 8)
Factor 5*c**2 - 115815*c + 463180.
5*(c - 23159)*(c - 4)
Solve -81*f**5 - 116523*f**4 + 519089*f**3 - 564089*f**2 + 178920*f - 17316 = 0.
-1443, 2/9, 1, 3
Factor 5*d**4 - 855*d**3 - 890*d**2 + 5160*d.
5*d*(d - 172)*(d - 2)*(d + 3)
Let 5*f**3 + 370*f**2 + 1475*f - 17250 = 0. What is f?
-69, -10, 5
What is q in 2*q**3 - 133748*q**2 + 267488*q = 0?
0, 2, 66872
Let q**2 - 473182*q + 55975301281 = 0. Calculate q.
236591
Solve -d**5/5 - 38*d**4/5 + 51*d**3/5 + 472*d**2/5 + 28*d - 624/5 = 0.
-39, -2, 1, 4
Suppose -2*f**4/7 + 108*f**3/7 + 1410*f**2/7 + 1300*f/7 = 0. What is f?
-10, -1, 0, 65
Let 42*y**4/11 + 111582*y**3/11 - 31926*y**2/11 - 111582*y/11 + 31884/11 = 0. What is y?
-2657, -1, 2/7, 1
Suppose b**5 - 95*b**4 - 203*b**3 + 871*b**2 + 202*b - 776 = 0. What is b?
-4, -1, 1, 2, 97
Factor -2*h**3/3 + 6902*h**2 - 17860650*h - 53602658/3.
-2*(h - 5177)**2*(h + 1)/3
Suppose -18*y**3/11 + 56740*y**2/11 - 69326*y/11 + 12604/11 = 0. Calculate y.
2/9, 1, 3151
Factor -11*a**2 - 145*a - 26.
-(a + 13)*(11*a + 2)
Suppose -2*b**4/5 - 218*b**3/5 - 116*b**2 + 6056*b/5 + 2544 = 0. Calculate b.
-106, -6, -2, 5
Factor -2*z**2 + 6048*z - 344056.
-2*(z - 2966)*(z - 58)
Let -2*n**2/3 - 453928*n/3 - 25756328648/3 = 0. What is n?
-113482
Find h such that 3*h**5/2 + 978*h**4 + 8721*h**3 + 26082*h**2 + 52083*h/2 = 0.
-643, -3, 0
Solve p**5/5 - 50*p**4 + 2176*p**3/5 - 1678*p**2/5 - 2177*p/5 + 1928/5 = 0.
-1, 1, 8, 241
Suppose 2*w**4/3 - 3044*w**3/9 + 1122*w**2 - 9076*w/9 + 224 = 0. What is w?
1/3, 1, 2, 504
Factor -3*s**2/5 + 388149*s/5 + 1164474/5.
-3*(s - 129386)*(s + 3)/5
Let 4*f**2 + 9752*f + 19488 = 0. What is f?
-2436, -2
Determine l so that 2*l**5/17 - 7694*l**4/17 + 418448*l**3 + 550151072*l**2/17 + 10500456960*l/17 + 9957427200/17 = 0.
-36, -1, 1960
Let -c**4 - 20*c**3 + 544*c**2 + 10496*c + 43008 = 0. Calculate c.
-28, -8, 24
Factor -t**3 - 2166*t**2 - 1175052*t - 2341448.
-(t + 2)*(t + 1082)**2
Solve h**2/4 + 12394*h - 148737/4 = 0 for h.
-49579, 3
Factor p**3 + 434*p**2 - 871*p + 436.
(p - 1)**2*(p + 436)
Solve -2*d**4/21 - 1114*d**3/21 - 31072*d**2/21 - 33848*d/3 - 9856 = 0 for d.
-528, -14, -1
Factor 3*a**2 - 36558*a + 111373947.
3*(a - 6093)**2
Let -g**5/3 - 42652*g**4/3 - 1278913*g**3/3 - 10783786*g**2/3 - 17901436*g/3 - 8353912/3 = 0. What is g?
-42622, -14, -1
Determine w so that 6*w**3 + 33369*w**2 + 116733*w + 83370 = 0.
-5558, -5/2, -1
Factor -5*h**2 - 417040*h + 834100.
-5*(h - 2)*(h + 83410)
Factor -12*i**3 + 150261*i**2 - 470363886*i - 117600363.
-3*(i - 6261)**2*(4*i + 1)
Factor -4*i**3/9 - 36284*i**2/9 - 82010236*i/9 + 412776980/3.
-4*(i - 15)*(i + 4543)**2/9
Suppose -4*d**2/7 - 356168*d/7 + 356196 = 0. Calculate d.
-89049, 7
Let -3*a**4 + 2523*a**3/5 - 64116*a**2/5 = 0. What is a?
0, 156/5, 137
Factor -3*x**5 + 28470*x**4 + 56949*x**3 + 28476*x**2.
-3*x**2*(x - 9492)*(x + 1)**2
Determine m, given that -4*m**4 + 76*m**3 + 5568*m**2 = 0.
-29, 0, 48
Factor o**2/3 - 138*o + 42449/3.
(o - 227)*(o - 187)/3
Factor 2*y**4/9 - 21256*y**3/9 + 56306888*y**2/9 + 301665152*y/3 + 402825728.
2*(y - 5322)**2*(y + 8)**2/9
Determine o, given that -15*o**3/2 + 473052*o**2 - 14918357091*o/2 - 2983747107 = 0.
-2/5, 31537
Solve -2*a**2/7 - 217192*a/7 - 434376/7 = 0.
-108594, -2
Find g such that g**4/2 + 23441*g**3 + 187517*g**2/2 + 117196*g + 46878 = 0.
-46878, -2, -1
Solve 5*z**4 - 190*z**3 + 2260*z**2 - 6440*z - 23520 = 0 for z.
-2, 12, 14
Factor -9*y**3 + 5070*y**2 + 13572*y + 6792.
-3*(y - 566)*(y + 2)*(3*y + 2)
Suppose -4*l**3 + 53548*l**2 - 179612704*l + 2682155760 = 0. Calculate l.
15, 6686
What is f in -5*f**3/4 - 267*f**2/4 - 53*f/2 = 0?
-53, -2/5, 0
Factor -4*z**4 - 128*z**3 - 1136*z**2 - 1792*z + 9216.
-4*(z - 2)*(z + 8)**2*(z + 18)
Factor -x**3 + 79*x**2 + 250*x - 328.
-(x - 82)*(x - 1)*(x + 4)
Factor j**3/2 - 294*j**2 + 1173*j/2 - 293.
(j - 586)*(j - 1)**2/2
Let -3*p**3/5 + 882*p**2/5 - 72036*p/5 + 1028376/5 = 0. What is p?
18, 138
Factor v**3/3 - 7304*v**2 + 40011312*v.
v*(v - 10956)**2/3
Determine h, given that 3*h**2 + 577080*h - 577083 = 0.
-192361, 1
Factor -b**2/5 + 7534*b/5 - 6024.
-(b - 7530)*(b - 4)/5
Factor 3*g**3 + 93222*g**2 + 559251*g + 838836.
3*(g + 3)**2*(g + 31068)
Factor -4*b**3 - 8400*b**2 - 66944*b.
-4*b*(b + 8)*(b + 2092)
What is f in 6*f**3/7 - 424262*f**2/7 - 282844*f/7 = 0?
-2/3, 0, 70711
Find r, given that -462*r**5 + 1244*r**4 - 1110*r**3 + 336*r**2 - 8*r = 0.
0, 2/77, 2/3, 1
Factor -2*p**2/5 - 49872*p.
-2*p*(p + 124680)/5
Factor -2*l**2/13 - 306*l/13 - 3384/13.
-2*(l + 12)*(l + 141)/13
Let -2*c**4/5 - 494*c**3/5 - 5628*c**2 + 300032*c/5 + 65536 = 0. Calculate c.
-128, -1, 10
Find z such that -9*z**5/4 + 87*z**4/2 + 3029*z**3/4 - 7611*z**2/2 + 4015*z - 1218 = 0.
-14, 2/3, 3, 29
Factor -t**3/4 + 9047*t**2/4 - 20339371*t/4 - 555777963/4.
-(t - 4537)**2*(t + 27)/4
Determine x, given that 2*x**5 + 70*x**4 + 184*x**3 - 280*x**2 - 768*x = 0.
-32, -3, -2, 0, 2
Factor 2*x**2/9 - 106*x - 340340/9.
2*(x - 715)*(x + 238)/9
Factor -2*g**3/3 + 292*g**2 - 30464*g - 1003520/3.
-2*(g - 224)**2*(g + 10)/3
Let -12*i**2 + 15152*i - 10096 = 0. Calculate i.
2/3, 1262
Factor -2*v**2/5 - 2091356*v/5 - 546721239842/5.
-2*(v + 522839)**2/5
Factor -2*l**2 + 1614*l/5 + 2608/5.
-2*(l - 163)*(5*l + 8)/5
S