3 - 222*m**2 + 231*m + 450 = 0. Calculate m.
-75, -1, 2
Suppose -3*a**5/4 + 15*a**4/4 + 153*a**3/2 + 87*a**2/2 - 1311*a/4 + 819/4 = 0. Calculate a.
-7, -3, 1, 13
Factor 2688*j**3 + 10767*j**2 + 10812*j + 60.
3*(j + 2)**2*(896*j + 5)
Suppose 4*l**2 + 80*l - 1044 = 0. Calculate l.
-29, 9
Factor -3*h**2 + 172356*h - 2475549228.
-3*(h - 28726)**2
Solve -40*f**4 + 13806*f**3 - 70070*f**2 + 10200*f = 0 for f.
0, 3/20, 5, 340
Suppose -2*s**2/5 - 5198412*s/5 - 3377935915218/5 = 0. What is s?
-1299603
Find f such that -9*f**4 - 366*f**3 + 279*f**2 + 6144*f - 10332 = 0.
-41, -14/3, 2, 3
Suppose -2*n**4 + 198*n**3 - 3834*n**2 - 92718*n + 1966356 = 0. Calculate n.
-21, 18, 51
Factor p**5 - 26*p**4 - 547*p**3 - 520*p**2.
p**2*(p - 40)*(p + 1)*(p + 13)
Factor -2*b**3/9 - 668*b**2/9 + 150*b + 224.
-2*(b - 3)*(b + 1)*(b + 336)/9
Find u such that 3*u**3 + 8772*u**2 + 6412332*u = 0.
-1462, 0
Factor -20*o**4 + 4072*o**3 - 206448*o**2 - 83232*o.
-4*o*(o - 102)**2*(5*o + 2)
Factor -4*r**4/3 - 268*r**3/3 - 4873*r**2/3 - 4288*r - 3072.
-(r + 32)**2*(2*r + 3)**2/3
Suppose 5*f**2 - 67885*f - 135790 = 0. Calculate f.
-2, 13579
Suppose h**2/3 - 22789*h/3 - 15194 = 0. Calculate h.
-2, 22791
Suppose d**3/3 - 2*d**2 - 9991*d/3 = 0. Calculate d.
-97, 0, 103
Solve 3*y**3 - 4087*y**2 + 5445*y - 1361 = 0.
1/3, 1, 1361
Factor 2*o**3/9 - 74*o**2/9 - 1988*o/9 - 7840/9.
2*(o - 56)*(o + 5)*(o + 14)/9
Let 2*m**2/3 - 1350*m = 0. What is m?
0, 2025
Solve 2*a**2/3 + 69728*a/3 + 23242 = 0.
-34863, -1
Find i such that 3*i**3/8 + 3639*i**2/8 + 148869*i/8 + 1549233/8 = 0.
-1171, -21
Factor 2*i**4 + 96*i**3 + 1584*i**2 + 10368*i + 23328.
2*(i + 6)**2*(i + 18)**2
Factor -2*u**3/7 - 260*u**2/7 + 2*u/7 + 260/7.
-2*(u - 1)*(u + 1)*(u + 130)/7
Factor -6*y**5/7 - 2964*y**4/7 - 8856*y**3/7 - 8844*y**2/7 - 2946*y/7.
-6*y*(y + 1)**3*(y + 491)/7
Let 3*p**3 - 690*p**2 + 2697*p + 3390 = 0. What is p?
-1, 5, 226
Factor 36*q**2 - 24586*q - 1366.
2*(q - 683)*(18*q + 1)
Factor -3*c**2/2 + 15072*c - 37860864.
-3*(c - 5024)**2/2
Find v such that 3*v**3 + 1926*v**2 + 19035*v + 47400 = 0.
-632, -5
Let s**3 - 1347*s**2 + 10712*s = 0. Calculate s.
0, 8, 1339
Let -25*z**3/2 + 16195*z**2 - 1811615*z/2 - 364915 = 0. What is z?
-2/5, 59, 1237
Solve -4*k**3/7 - 856*k**2 - 2444164*k/7 - 146410272/7 = 0 for k.
-713, -72
Determine j so that 3*j**5/5 - 141*j**4/5 + 99*j**3/5 + 1869*j**2/5 - 3486*j/5 + 1656/5 = 0.
-4, 1, 3, 46
Let -h**4 + 45*h**3 + 46*h**2 = 0. Calculate h.
-1, 0, 46
Factor -3*l**2 - 982716*l - 80477561388.
-3*(l + 163786)**2
Let -4*f**5 + 224*f**4 - 3880*f**3 + 10336*f**2 + 270028*f - 1536416 = 0. What is f?
-8, 7, 19
What is b in 4*b**5 + 28*b**4 - 108*b**3 - 316*b**2 + 104*b + 288 = 0?
-9, -2, -1, 1, 4
Find j, given that -2*j**3/3 - 100*j**2 - 1714*j/3 + 672 = 0.
-144, -7, 1
Determine x so that 4*x**3 + 6440*x**2 + 12852*x - 19296 = 0.
-1608, -3, 1
What is o in 3*o**4 + 1170*o**3 - 15921*o**2 - 82212*o = 0?
-403, -4, 0, 17
Suppose 5*h**4 - 12060*h**3 - 45*h**2 + 108540*h = 0. What is h?
-3, 0, 3, 2412
Solve 25*z**5/7 - 4255*z**4/7 - 488*z**3 - 684*z**2/7 = 0 for z.
-2/5, 0, 171
Solve -4*g**4/5 + 624*g**3/5 - 24468*g**2/5 + 235016*g/5 + 1372512/5 = 0 for g.
-4, 29, 102
What is i in -i**3/4 - 515*i**2/2 - 121447*i/4 + 61239/2 = 0?
-894, -137, 1
Factor 2*o**2/11 - 347588*o/11 - 695184/11.
2*(o - 173796)*(o + 2)/11
Suppose -3*z**4 - 498*z**3 - 1923*z**2 + 3432*z + 4860 = 0. Calculate z.
-162, -5, -1, 2
Find h such that -8*h**3/3 - 11236*h**2/3 + 456464*h/3 + 231040/3 = 0.
-1444, -1/2, 40
Factor 5*y**3/6 - 5*y**2/6 - 105*y + 300.
5*(y - 10)*(y - 3)*(y + 12)/6
Factor 34*r**4 - 19378*r**3 + 3681060*r**2 - 232989400*r - 13718000.
2*(r - 190)**3*(17*r + 1)
Determine x, given that x**5/10 + 145*x**4/2 - 437*x**3/2 - 145*x**2/2 + 1092*x/5 = 0.
-728, -1, 0, 1, 3
Determine s, given that s**3 - 10*s**2 - 59*s + 420 = 0.
-7, 5, 12
Factor -18*u**3 + 4544*u**2 + 2538*u - 2024.
-2*(u - 253)*(u + 1)*(9*u - 4)
Find f, given that f**3/2 - 272*f**2 + 2701*f/2 - 1617 = 0.
2, 3, 539
Let 5*h**2 - 2320*h - 100800 = 0. Calculate h.
-40, 504
Suppose 2*l**2/13 - 25892*l/13 + 83799458/13 = 0. What is l?
6473
Factor 4*n**2 + 776*n + 37312.
4*(n + 88)*(n + 106)
Suppose 2*q**5/3 + 241*q**4 - 1090*q**3/3 - 120*q**2 + 1088*q/3 - 121 = 0. Calculate q.
-363, -1, 1/2, 1
Solve m**5 + 63*m**4 - 1171*m**3 - 14231*m**2 - 24702*m - 11704 = 0 for m.
-76, -7, -1, 22
Factor -p**2/6 - 59*p/6 + 4318/3.
-(p - 68)*(p + 127)/6
Determine z so that -2*z**5/13 - 342*z**4/13 - 2134*z**3/13 + 1073966*z**2/13 - 18946032*z/13 - 20021792/13 = 0.
-113, -1, 28
Find b such that 3*b**3 + 2382*b**2 - 16821*b = 0.
-801, 0, 7
Suppose -x**4/2 - 19*x**3 + 163*x**2/2 - 104*x + 42 = 0. What is x?
-42, 1, 2
Determine w so that w**3 + 242*w**2 + 19481*w + 521752 = 0.
-88, -77
Find o such that -o**4/2 - 101*o**3 - 7109*o**2/2 - 3454*o = 0.
-157, -44, -1, 0
Determine n, given that -3*n**5 - 1065*n**4 - 88461*n**3 + 1078785*n**2 - 2411208*n = 0.
-183, 0, 3, 8
Factor -2*s**2/5 + 182*s/5 + 4972/5.
-2*(s - 113)*(s + 22)/5
Determine w so that 36*w**5 + 54512*w**4 + 20641876*w**3 + 4584392*w**2 = 0.
-757, -2/9, 0
Suppose 40*v**4/3 - 454*v**3 + 2542*v**2 - 310*v/3 - 126 = 0. Calculate v.
-1/5, 1/4, 7, 27
Solve -15*v**4 + 38592*v**3 - 24721746*v**2 - 129559968*v - 24922815 = 0 for v.
-5, -1/5, 1289
Factor -2*v**3 - 34144*v**2 - 145726592*v.
-2*v*(v + 8536)**2
Let 5*t**2 + 1493920*t + 111589848320 = 0. What is t?
-149392
Suppose -3*j**2/7 - 64098*j/7 - 342379467/7 = 0. What is j?
-10683
Factor 13*u**2/4 + 2099*u - 323.
(u + 646)*(13*u - 2)/4
Factor -3*c**4/4 + 285*c**3/4 - 279*c**2/2.
-3*c**2*(c - 93)*(c - 2)/4
Let 3*m**5 - 285*m**4 + 4122*m**3 + 38652*m**2 + 95784*m + 74592 = 0. What is m?
-3, -2, 28, 74
Solve 2*f**4/5 + 72*f**3/5 - 1878*f**2/5 + 3532*f/5 - 1728/5 = 0 for f.
-54, 1, 16
Suppose 2*h**5/3 - 28*h**4/3 - 658*h**3/3 - 396*h**2 = 0. Calculate h.
-11, -2, 0, 27
Factor c**3/5 + 918*c**2/5 + 911*c/5 - 5502/5.
(c - 2)*(c + 3)*(c + 917)/5
Factor -2*g**4/9 - 2312*g**3/9.
-2*g**3*(g + 1156)/9
Factor -2*l**3/3 + 1776*l**2 - 7096*l + 21280/3.
-2*(l - 2660)*(l - 2)**2/3
Factor 3*j**2 - 235494*j + 4621452003.
3*(j - 39249)**2
Determine z so that -2*z**5/3 - 6*z**4 + 18*z**3 + 98*z**2/3 - 44*z = 0.
-11, -2, 0, 1, 3
Factor -3*p**4 - 5340*p**3 + 64368*p**2 - 257856*p + 344064.
-3*(p - 4)**3*(p + 1792)
Find s such that 21*s**5 - 303*s**4 - 567*s**3 + 591*s**2 + 546*s - 288 = 0.
-2, -1, 3/7, 1, 16
Solve s**4 + 511*s**3/4 - 827*s**2 + 5619*s/4 - 603/2 = 0 for s.
-134, 1/4, 3
Factor -2*r**3 + 820*r**2 - 69022*r + 134780.
-2*(r - 293)*(r - 115)*(r - 2)
What is r in 5*r**4/2 + 860*r**3 - 957885*r**2/2 - 1926010*r - 1929410 = 0?
-641, -2, 301
Factor 4*s**3 - 684*s**2 + 2024*s - 1344.
4*(s - 168)*(s - 2)*(s - 1)
Find m such that -16*m**3/9 - 44*m**2/3 + 1636*m/9 + 848 = 0.
-53/4, -4, 9
Let 3*f**2 - 1056*f + 28101 = 0. Calculate f.
29, 323
Factor -p**2/5 + 36104*p/5 - 325874704/5.
-(p - 18052)**2/5
What is f in -f**4/5 + 7*f**3 - 309*f**2/5 + 517*f/5 - 242/5 = 0?
1, 11, 22
Factor -4*i**3/3 - 89428*i**2/3 + 178868*i/3 - 29812.
-4*(i - 1)**2*(i + 22359)/3
Factor a**2/7 + 5545*a/7 - 5546/7.
(a - 1)*(a + 5546)/7
Solve -5*k**4 + 290*k**3 - 1360*k**2 + 1870*k - 795 = 0 for k.
1, 3, 53
Let -2*j**2/5 + 511024*j/5 - 32643191072/5 = 0. What is j?
127756
Factor -2*m**2 - 802*m - 14516.
-2*(m + 19)*(m + 382)
Determine g so that -g**4/3 + 22399*g**3 - 501715201*g**2 + 11237918787199*g/3 = 0.
0, 22399
Factor 3309*a**2 + 459960*a + 1251.
3*(a + 139)*(1103*a + 3)
Let 24*z**4/7 + 1419*z**3/7 + 15249*z**2/7 + 35004*z/7 + 4140/7 = 0. What is z?
-46, -10, -3, -1/8
Factor -5*q**2 + 106965*q - 213910.
-5*(q - 21391)*(q - 2)
Determine w so that -w**2 + 58*w - 357 = 0.
7, 51
Determine a so that -14*a**2 - 1048086*a - 299452 = 0.
-74863, -2/7
Factor w**3/2 + 7579*w**2/2 - 15161*w/2 + 7581/2.
(w - 1)**2*(w + 7581)/2
Factor -4*c**2/5 - 44*c + 944/5.
-4*(c - 4)*(c + 59)/5
Factor -2*g**2/7 + 20232*g/7 + 60822.
-2*(g - 10137)*(g + 21)/7
Factor 5*h**2 - 2545*h/2 + 635.
5*(h - 254)*(2*h - 1)/2
Find l, given that -5*l**5 + 435*l**4 - 8065*l**3 - 21115*l**2 + 64710*l - 35960 = 0.
-4, 1, 31, 58
Find v such that v**2/7 - 660656*v/7 + 660655/7 = 0.
1, 660655
Solve -3*p**2/4 + 25086*p - 209769132 = 0.
16724
Determine i, given t