73*q - 1)
Factor 6*v**2/11 + 160254*v/11.
6*v*(v + 26709)/11
Factor -2*i**3/3 - 16446*i**2 + 65792*i - 197384/3.
-2*(i - 2)**2*(i + 24673)/3
Factor -2*b**4/19 + 1920*b**3/19 + 1922*b**2/19.
-2*b**2*(b - 961)*(b + 1)/19
Suppose -y**4/4 + 969*y**3/2 - 261725*y**2/4 + 2260404*y + 2326320 = 0. Calculate y.
-1, 72, 1795
Factor 5*o**3 - 425*o**2 + 3460*o - 3040.
5*(o - 76)*(o - 8)*(o - 1)
What is n in -2*n**2/15 + 114*n/5 + 4004/15 = 0?
-11, 182
Factor -2*f**2/15 - 248*f/15 - 7526/15.
-2*(f + 53)*(f + 71)/15
Determine y so that 3*y**3/2 + 3999*y**2/2 + 803160*y + 85866534 = 0.
-582, -169
Suppose 3*p**4/4 + 429*p**3/2 - 7113*p**2/4 - 4197*p - 2205 = 0. What is p?
-294, -1, 10
Factor 3*s**2/2 - 102408*s + 1747899744.
3*(s - 34136)**2/2
Factor -2*q**3 - 15790*q**2 - 15788*q.
-2*q*(q + 1)*(q + 7894)
Factor a**4/2 + 853*a**3/4 - 427*a**2/4.
a**2*(a + 427)*(2*a - 1)/4
Factor -3*v**2 - 3705*v + 41118.
-3*(v - 11)*(v + 1246)
Factor 3*y**4 + 780*y**3 - 315561*y**2 - 83960322*y.
3*y*(y - 326)*(y + 293)**2
Determine g so that 3*g**2 + 3*g - 60 = 0.
-5, 4
Factor a**3/2 + 67*a**2/2 - 3137*a/2 + 3069/2.
(a - 31)*(a - 1)*(a + 99)/2
Find m, given that -4*m**4 + 74916*m**3 + 149848*m**2 = 0.
-2, 0, 18731
Find i such that -3*i**4/8 + 10503*i**3/4 - 9187497*i**2/2 - 9198003*i = 0.
-2, 0, 3502
Let -7*p**4/5 - 1202*p**3/5 + 5272*p**2/5 - 1408*p/5 = 0. Calculate p.
-176, 0, 2/7, 4
Factor -t**3/5 - t**2 + t/5 + 1.
-(t - 1)*(t + 1)*(t + 5)/5
Determine x so that -2*x**2/9 + 140000*x/9 - 2450000000/9 = 0.
35000
Find h, given that 5*h**4 - 880*h**3 + 48235*h**2 - 786620*h + 739260 = 0.
1, 27, 74
Factor -25*h**2/3 - 10196*h/9 + 544/9.
-(h + 136)*(75*h - 4)/9
Solve -2*a**2/13 - 89560*a/13 = 0 for a.
-44780, 0
Suppose 2*m**2/3 - 21616*m/3 + 58406432/3 = 0. What is m?
5404
Solve -3*v**3/2 + 219891*v**2/4 - 109941*v + 219879/4 = 0 for v.
1, 73293/2
Solve -980*d**5/9 + 108*d**4 + 1636*d**3/3 + 2980*d**2/9 + 8*d/3 = 0.
-1, -2/245, 0, 3
Factor -4*k**3/5 - 2122*k**2/5 - 284064*k/5 - 139392.
-2*(k + 264)**2*(2*k + 5)/5
Factor -2*l**3 + 1730*l**2 - 69292*l + 131680.
-2*(l - 823)*(l - 40)*(l - 2)
Find x such that 10*x**3 - 94*x**2 + 30*x + 54 = 0.
-3/5, 1, 9
Factor 2*o**2 - 590*o + 2900.
2*(o - 290)*(o - 5)
Factor k**4/2 + 7*k**3/2 - 549*k**2/2 + 1073*k/2 - 266.
(k - 19)*(k - 1)**2*(k + 28)/2
Factor -s**5/2 - 1961*s**4.
-s**4*(s + 3922)/2
Factor -4*k**2 + 84969*k - 21242.
-(k - 21242)*(4*k - 1)
Find q, given that -70*q**4/9 + 37112*q**3/9 - 551000*q**2 + 1178496*q - 185856 = 0.
6/35, 2, 264
Find i, given that 2*i**5 + 718*i**4 - 6578*i**3 + 16898*i**2 - 11040*i = 0.
-368, 0, 1, 3, 5
Factor 13254*b**2/5 + 143256*b/5 + 387096/5.
6*(47*b + 254)**2/5
Let -a**2/6 + 2672*a/3 - 3569792/3 = 0. Calculate a.
2672
Solve 3*h**2/8 + 6273*h/8 - 200739/2 = 0 for h.
-2212, 121
Solve -9*i**3 - 237*i**2 + 165*i + 81 = 0.
-27, -1/3, 1
Suppose -4*h**4/7 - 132*h**3/7 - 92*h**2 + 132*h/7 + 648/7 = 0. Calculate h.
-27, -6, -1, 1
Factor 4*b**2/9 + 148192*b/9 + 1372554304/9.
4*(b + 18524)**2/9
Factor 3*q**3 + 315315*q**2 + 8285768721*q + 24854468409.
3*(q + 3)*(q + 52551)**2
Suppose 105*z**5 + 873*z**4 - 2505*z**3 - 6309*z**2 + 10176*z - 2340 = 0. Calculate z.
-10, -13/5, 2/7, 1, 3
Suppose -c**2 - 3905*c + 11724 = 0. What is c?
-3908, 3
Factor -a**3/4 - 4373*a**2/2 - 26229*a/4.
-a*(a + 3)*(a + 8743)/4
Let -o**3/2 + 949*o**2/2 - 118272*o + 2668050 = 0. Calculate o.
25, 462
Factor z**2/3 - 50592*z + 1919662848.
(z - 75888)**2/3
Solve -160*h**4/7 - 3356*h**3/7 - 3116*h**2/7 + 80*h/7 = 0 for h.
-20, -1, 0, 1/40
Factor -i**2 + 21387*i + 42778.
-(i - 21389)*(i + 2)
Find n, given that -n**4/4 + 97*n**3/2 - 48*n**2 - 97*n/2 + 193/4 = 0.
-1, 1, 193
Factor x**3 - 16820*x**2 + 70744917*x - 141422562.
(x - 8409)**2*(x - 2)
Suppose g**3 + 182753*g**2 + 8349573375*g - 8349756129 = 0. Calculate g.
-91377, 1
Factor 2*x**2/19 + 510*x/19 - 6408/19.
2*(x - 12)*(x + 267)/19
Factor 5*t**2 + 21990*t + 24178005.
5*(t + 2199)**2
Find h, given that -2*h**5 + 18*h**4 + 798*h**3 + 6638*h**2 + 21780*h + 25200 = 0.
-6, -5, -3, 28
Factor 41*o**4 + 5826*o**3 + 207249*o**2 + 20164*o.
o*(o + 71)**2*(41*o + 4)
Suppose 2*p**5/13 + 374*p**4/13 + 718*p**3/13 - 4094*p**2/13 - 4440*p/13 = 0. Calculate p.
-185, -4, -1, 0, 3
Determine r, given that -2*r**2 - 37084*r + 111270 = 0.
-18545, 3
Solve 3*g**3/2 + 20979*g**2 + 293589*g/2 + 209685 = 0.
-13979, -5, -2
Let 3*d**3 + 64587*d**2 + 258312*d + 258300 = 0. Calculate d.
-21525, -2
Find o, given that -5*o**4 - 64500*o**3 - 64455*o**2 + 516020*o + 773940 = 0.
-12899, -2, 3
Suppose 3*v**4/5 + 669*v**3/5 + 1317*v**2/5 - 1989*v/5 = 0. Calculate v.
-221, -3, 0, 1
Suppose 4*q**2 + 4130176*q + 1066147111936 = 0. Calculate q.
-516272
Suppose 2*v**4/5 - 2116*v**3 + 14076306*v**2/5 - 222520608*v/5 = 0. Calculate v.
0, 16, 2637
Suppose -4*h**5 + 1036*h**4/9 - 748*h**3/9 - 1036*h**2/9 + 784*h/9 = 0. Calculate h.
-1, 0, 7/9, 1, 28
Factor 2*i**3/7 - 9410*i**2/7 + 1581888*i - 1580544.
2*(i - 2352)**2*(i - 1)/7
What is f in -2*f**2 + 1282720*f - 205671324800 = 0?
320680
Suppose 12*f**4/7 + 134*f**3/7 + 312*f**2/7 + 24*f/7 - 320/7 = 0. Calculate f.
-8, -2, 5/6
Find o such that -2*o**3/3 + 1042*o**2/3 - 18656*o - 7752840 = 0.
-115, 318
Factor -4*x**4 - 104*x**3 - 572*x**2 - 760*x.
-4*x*(x + 2)*(x + 5)*(x + 19)
Factor 2*q**3 + 2124*q**2 - 14954*q + 12828.
2*(q - 6)*(q - 1)*(q + 1069)
Solve 2*y**4/3 - 80*y**3/3 + 46*y**2 + 524*y/3 + 304/3 = 0.
-1, 4, 38
Suppose -4*t**5/5 - 147512*t**4/5 + 295036*t**3/5 - 29504*t**2 = 0. What is t?
-36880, 0, 1
Find h such that -h**4 - 4858*h**3 - 5647081*h**2 + 614439840*h - 15997190400 = 0.
-2480, 51
Solve d**5 - 346*d**4/3 + 449*d**3/3 + 802*d**2/3 - 452*d/3 - 152 = 0 for d.
-1, -2/3, 1, 2, 114
Suppose 4*m**2 - 27600*m - 27604 = 0. What is m?
-1, 6901
Factor 4*f**5 + 68*f**4 + 288*f**3 - 512*f**2 - 5632*f - 9216.
4*(f - 4)*(f + 4)**3*(f + 9)
Find s, given that s**3 - 1333*s**2 - s + 1333 = 0.
-1, 1, 1333
Find c such that 5*c**3 + 11230*c**2 + 111845*c + 100620 = 0.
-2236, -9, -1
Solve 2*u**4/9 - 660530*u**3/9 - 1321076*u**2/3 - 7926488*u/9 - 5284336/9 = 0.
-2, 330271
Factor 35*s**3 + 25590*s**2 + 4692075*s + 5329000.
5*(s + 365)**2*(7*s + 8)
Factor 3*i**3 - 393*i**2 - 75864*i - 2492724.
3*(i - 247)*(i + 58)**2
Suppose -5*n**2 - 2640*n - 322560 = 0. What is n?
-336, -192
Find l, given that -3*l**2/7 - 22347*l/7 + 89436/7 = 0.
-7453, 4
Factor -5*t**2 + 1460*t + 10465.
-5*(t - 299)*(t + 7)
Factor 65*w**2 - 3314145*w - 509870.
5*(w - 50987)*(13*w + 2)
Solve 4*x**2/9 - 10292*x/9 = 0 for x.
0, 2573
Let 2*j**2/7 - 13436*j/7 + 401280/7 = 0. What is j?
30, 6688
Factor 882*q**4 - 8123388*q**3 + 18705261338*q**2 - 3562685880*q + 169648200.
2*(q - 4605)**2*(21*q - 2)**2
Solve -o**5 - 84*o**4 - 242*o**3 + 84*o**2 + 243*o = 0.
-81, -3, -1, 0, 1
Find x such that -x**2 - 577604*x + 577605 = 0.
-577605, 1
Solve 2*w**4/11 + 410*w**3/11 + 21204*w**2/11 + 18360*w/11 - 124848/11 = 0.
-102, -3, 2
Determine c, given that -3*c**4/4 + 27*c**3/2 + 1005*c**2/4 - 3591*c - 17328 = 0.
-16, -4, 19
Suppose 2*l**4 + 48*l**3 + 118*l**2 - 192*l - 504 = 0. What is l?
-21, -3, -2, 2
Factor 2*p**2 - 2586*p + 318780.
2*(p - 1155)*(p - 138)
Suppose m**3/4 - 337*m**2/2 + 1345*m/4 - 168 = 0. What is m?
1, 672
Factor -z**2/6 + 50*z/3 - 553/2.
-(z - 79)*(z - 21)/6
Find h, given that -28*h**3 + 6268*h**2 + 38364*h + 57924 = 0.
-3, 1609/7
Let -4*b**4 - 32424*b**3 - 97232*b**2 + 32424*b + 97236 = 0. Calculate b.
-8103, -3, -1, 1
Factor -1215*t**2 + 11430*t - 6715.
-5*(9*t - 79)*(27*t - 17)
Suppose 3*f**3/2 + 7053*f**2/2 - 14124*f + 14130 = 0. What is f?
-2355, 2
Suppose -50*u**3 - 1796*u**2 + 10394*u - 820 = 0. Calculate u.
-41, 2/25, 5
Determine p so that p**2 + 691*p + 37288 = 0.
-632, -59
Let -c**5/2 - 26*c**4 - 209*c**3/2 + 6191*c**2 - 22638*c + 21780 = 0. Calculate c.
-33, 2, 10
Determine i so that -4*i**3 - 432*i**2 - 8180*i - 30600 = 0.
-85, -18, -5
Solve y**4/5 + 28*y**3/5 - 384*y**2/5 - 2304*y = 0 for y.
-24, 0, 20
Suppose -100*s**5 + 351720*s**4 + 1689824*s**3 + 2591808*s**2 + 1352384*s + 225408 = 0. What is s?
-2, -2/5, 3522
Suppose o**5/7 + 43*o**4/7 - 191*o**3/7 - 127*o**2/7 + 650*o/7 - 376/7 = 0. What is o?
-47, -2, 1, 4
Factor 2*m**2 + 36164*m + 163479362.
2*(m + 9041)**2
Let -2*g**2/15 + 56996*g/5 + 68400 = 0. Wha