Determine p, given that -3*p**2/4 - 32211*p/2 + 64434 = 0.
-21478, 4
Factor o**3/8 + 9*o**2/4 - 2073*o/8 - 1045/4.
(o - 38)*(o + 1)*(o + 55)/8
Suppose 5*b**5 - 105*b**4 - 215*b**3 + 2105*b**2 + 4410*b + 2200 = 0. What is b?
-4, -1, 5, 22
Factor 6*r**3/5 + 15*r**2 - 219*r/5 + 18.
3*(r - 2)*(r + 15)*(2*r - 1)/5
Solve -3*c**4 + 363*c**3 - 7569*c**2 - 55539*c - 88452 = 0 for c.
-3, 36, 91
What is a in 2*a**5/13 + 1130*a**4/13 + 102014*a**3/13 + 2111718*a**2/13 - 22082256*a/13 + 47721312/13 = 0?
-459, -57, 4
Suppose -3*s**5 - 357*s**4 - 13161*s**3 - 148563*s**2 - 405756*s = 0. What is s?
-51, -13, -4, 0
Find m, given that 50923779*m**5/8 + 455936247*m**4/8 - 570843003*m**3/4 + 6580461*m**2 - 101988*m + 528 = 0.
-11, 4/257, 2
Suppose -n**4/3 - 33*n**3 - 2497*n**2/3 - 735*n + 4802/3 = 0. Calculate n.
-49, -2, 1
Let 2*j**5/7 - 330*j**4 + 11492*j**3/7 + 1320*j**2 - 46000*j/7 = 0. Calculate j.
-2, 0, 2, 5, 1150
Determine h so that -4*h**2 - 2016*h + 84708 = 0.
-543, 39
Factor 3*n**3 + 1176*n**2 + 101781*n.
3*n*(n + 129)*(n + 263)
Factor -2*k**3 - 76438*k**2 - 382148*k - 305712.
-2*(k + 1)*(k + 4)*(k + 38214)
Let 2*k**3/7 + 4*k**2 - 17730*k/7 - 89100/7 = 0. Calculate k.
-99, -5, 90
Factor 4*t**3 - 45504*t**2 - 637644*t - 2232440.
4*(t - 11390)*(t + 7)**2
Factor z**3/6 + 5273*z**2/6 + 2316165*z/2 - 2317923/2.
(z - 1)*(z + 2637)**2/6
Factor -3494*x**2 + 1651*x/2 + 12.
-(4*x - 1)*(1747*x + 24)/2
Factor 3*g**3/2 - 3399*g**2/2 - 6807*g/2 - 3405/2.
3*(g - 1135)*(g + 1)**2/2
Determine y, given that -5*y**3 - 35335*y**2 - 669560*y = 0.
-7048, -19, 0
Suppose -4*n**2 - 18148*n + 54480 = 0. Calculate n.
-4540, 3
Factor -56*g**3 - 36772*g**2 - 73376*g - 36660.
-4*(g + 1)**2*(14*g + 9165)
Solve -2*l**5/7 - 958*l**4/7 + 12*l**3/7 + 5764*l**2/7 + 7670*l/7 + 2874/7 = 0.
-479, -1, 3
Factor 4*r**3 + 284*r**2 - 1200*r.
4*r*(r - 4)*(r + 75)
Let -3*i**5/5 + 207*i**4/5 - 369*i**3/5 - 2247*i**2/5 + 2412*i/5 = 0. Calculate i.
-3, 0, 1, 4, 67
Find r such that 5*r**2 + 875250*r + 38303128125 = 0.
-87525
Find n such that -5*n**2/9 + 14479*n/9 + 2896/9 = 0.
-1/5, 2896
What is n in -n**4 + 91*n**3 + 385*n**2 - 475*n = 0?
-5, 0, 1, 95
Find b such that -5*b**2 + 110850*b + 776195 = 0.
-7, 22177
Factor -1620*j**2 + 5216*j/7 - 272/7.
-4*(5*j - 2)*(567*j - 34)/7
Factor o**4 - 311*o**3 + 23055*o**2 + 176967*o.
o*(o - 159)**2*(o + 7)
Find i such that 5*i**3/4 - 1075*i**2/2 - 20565*i - 188730 = 0.
-18, 466
Factor -37*g**2 + 2808*g + 304.
-(g - 76)*(37*g + 4)
Find c such that 3*c**4 + 2793*c**3 - 9*c**2 - 8385*c - 5586 = 0.
-931, -1, 2
Solve -4*d**3 - 1236*d**2 - 8480*d - 7248 = 0.
-302, -6, -1
Find x, given that -x**3/5 - 20394*x**2/5 + 8160*x + 163168/5 = 0.
-20396, -2, 4
Determine k so that 2*k**2/15 + 314*k/15 - 8624/3 = 0.
-245, 88
Suppose -25*t**3 + 58870*t**2 - 117640*t = 0. Calculate t.
0, 2, 11764/5
Factor 2*d**2/7 + 19562*d/7 + 5588.
2*(d + 2)*(d + 9779)/7
Find o, given that 4*o**2/17 - 14970*o/17 + 327404/17 = 0.
22, 7441/2
Find u, given that -u**2/3 - 189*u + 568/3 = 0.
-568, 1
Factor v**3/5 - 117*v**2/5 + 408*v + 87856/5.
(v - 68)**2*(v + 19)/5
What is u in -3*u**4/5 + 2802*u**3/5 - 11157*u**2/5 - 2802*u/5 + 2232 = 0?
-1, 1, 4, 930
Factor 2*n**3/3 - 5516*n**2 + 181302*n.
2*n*(n - 8241)*(n - 33)/3
Factor 4*q**2 + 6352*q - 135156.
4*(q - 21)*(q + 1609)
Factor -2*u**3/15 + 187592*u**2/15 - 4398281978*u/15 - 8798815204/5.
-2*(u - 46901)**2*(u + 6)/15
Suppose -5*s**2 + 17115*s + 188870 = 0. What is s?
-11, 3434
What is d in d**5/2 - d**4 - 2*d**3 + 4*d**2 = 0?
-2, 0, 2
Factor -m**3 - 29765*m**2 - 29762*m + 59528.
-(m - 1)*(m + 2)*(m + 29764)
Let -3*n**2 - 487146*n - 487143 = 0. Calculate n.
-162381, -1
Suppose -k**4/5 - 1632*k**3/5 - 19476*k**2/5 - 58352*k/5 - 10368 = 0. Calculate k.
-1620, -8, -2
Factor -4*g**3 - 284*g**2 + 3904*g - 6640.
-4*(g - 10)*(g - 2)*(g + 83)
Let 9*b**5 + 1635*b**4 + 43395*b**3 - 61335*b**2 - 14100*b + 30396 = 0. Calculate b.
-149, -34, -2/3, 1
Factor 3*a**3/7 - 137451*a**2/7 + 1574329389*a/7 + 1574466843/7.
3*(a - 22909)**2*(a + 1)/7
Find v, given that 2*v**2/7 - 6312*v/7 + 18810 = 0.
21, 3135
Suppose -w**2/8 - 526*w - 4200 = 0. What is w?
-4200, -8
Determine d, given that -10*d**3/7 - 192554*d**2/7 - 462080*d/7 - 154024/7 = 0.
-19253, -2, -2/5
Find l such that l**4 + 132691*l**3/2 + 2200962201*l**2/2 + 1650605548*l + 550190792 = 0.
-33172, -1, -1/2
Factor -2*a**3/9 - 3568*a**2/9 + 2786*a.
-2*a*(a - 7)*(a + 1791)/9
Solve 3*v**4 - 180*v**3 + 1131*v**2 - 954*v = 0 for v.
0, 1, 6, 53
Find w such that 5*w**2 - 573365*w + 573360 = 0.
1, 114672
Factor 8*s**2/5 + 4049*s/5 + 506/5.
(s + 506)*(8*s + 1)/5
Determine m so that 4*m**2 - 244*m - 2520 = 0.
-9, 70
Let s**2/2 - 10587*s/2 + 10585 = 0. Calculate s.
2, 10585
Suppose -5*q**3/6 + 7505*q**2/6 - 947445*q/2 + 6510105/2 = 0. Calculate q.
7, 747
Factor 13*n**2/10 - 22161*n/5 + 30672/5.
(n - 3408)*(13*n - 18)/10
Let x**2/10 - x/2 - 58308/5 = 0. What is x?
-339, 344
Let -3*v**3/4 + 1539*v**2/4 - 45741*v/2 - 47286 = 0. What is v?
-2, 71, 444
What is r in -r**2/7 - 590630*r/7 - 590629/7 = 0?
-590629, -1
Factor 4*y**3 - 26228*y**2 - 420612*y - 394380.
4*(y - 6573)*(y + 1)*(y + 15)
Factor 6*m**3/11 + 10668*m**2/11 + 1938*m + 10656/11.
6*(m + 1)**2*(m + 1776)/11
Factor -s**3 - 9817*s**2 + 216337*s - 1190519.
-(s - 11)**2*(s + 9839)
Solve 3*h**5/4 + 30*h**4 - 441*h**3 + 1428*h**2 + 1104*h - 7488 = 0.
-52, -2, 4, 6
Determine l so that 3*l**5 + 303*l**4 + 180*l**3 - 12336*l**2 - 33600*l = 0.
-100, -4, 0, 7
What is z in 3*z**3/7 + 4698*z**2/7 + 1848627*z/7 + 7319532/7 = 0?
-781, -4
Factor -3*k**2/5 - 89796*k/5 - 671943468/5.
-3*(k + 14966)**2/5
Factor -y**3 - 5634*y**2 - 7941120*y - 15859712.
-(y + 2)*(y + 2816)**2
Factor w**2 - 886*w + 69513.
(w - 799)*(w - 87)
Find j, given that j**4 + 58*j**3 + 372*j**2 - 15610*j - 15925 = 0.
-35, -1, 13
Factor -p**2/3 - 593*p - 12404/3.
-(p + 7)*(p + 1772)/3
Determine i, given that -2*i**2/23 - 347996*i/23 - 15137652002/23 = 0.
-86999
Suppose p**2 + 5060*p + 25275 = 0. What is p?
-5055, -5
Determine m, given that -2*m**3/5 - 23762*m**2/5 - 14075334*m + 1203280434/5 = 0.
-5949, 17
Determine p so that 5*p**4 - 460*p**3 + 7695*p**2 + 460*p - 7700 = 0.
-1, 1, 22, 70
Find p such that 712*p**5/3 + 699*p**4 + 595*p**3/3 - 725*p**2 - 1307*p/3 + 26 = 0.
-2, -1, 39/712, 1
Factor 4*j**2 - 1488*j - 26452.
4*(j - 389)*(j + 17)
Find y, given that -30*y**5/7 - 4106*y**4/7 + 638*y**3/7 + 12258*y**2/7 - 1408*y + 1096/7 = 0.
-137, -2, 2/15, 1
Solve -u**5/7 + 27*u**4/7 + 157*u**3/7 + 101*u**2/7 - 156*u/7 - 128/7 = 0.
-4, -1, 1, 32
Suppose 3*a**4/8 - 129*a**3/8 - 1827*a**2/8 + 46305*a/8 = 0. What is a?
-21, 0, 15, 49
Determine s, given that 5*s**3 + 460*s**2 - 5115*s - 163350 = 0.
-99, -15, 22
Factor -2*t**2 - 1320*t - 10432.
-2*(t + 8)*(t + 652)
Solve -40*h**5/3 - 26798*h**4/3 + 46946*h**3/5 - 48304*h**2/15 + 5368*h/15 = 0 for h.
-671, 0, 1/4, 2/5
Factor 81*k**2/7 + 43131*k/7 - 43212/7.
3*(k - 1)*(27*k + 14404)/7
Let -2*t**4/5 + 602*t**3/15 + 3188*t**2/5 - 24752*t/15 + 4864/5 = 0. What is t?
-16, 1, 4/3, 114
Find n such that -6*n**2/5 + 1692*n/5 + 57888 = 0.
-120, 402
Determine o so that -3906*o**4 + 30927*o**3 - 6642*o**2 - 41925*o - 450 = 0.
-1, -1/93, 10/7, 15/2
Suppose 5*r**3 + 335*r**2 + 6000*r + 15120 = 0. What is r?
-36, -28, -3
Factor 3*h**5 + 3006*h**4 - 12060*h**3 + 12072*h**2.
3*h**2*(h - 2)**2*(h + 1006)
Factor -2*u**3/3 - 5312*u**2/3 - 3516520*u/3 + 14151200/3.
-2*(u - 4)*(u + 1330)**2/3
Factor 2304*p**3/5 - 188832*p**2/5 - 7871*p/5 - 82/5.
(p - 82)*(48*p + 1)**2/5
Factor 5*g**3 - 13705*g**2 + 9384495*g + 9398205.
5*(g - 1371)**2*(g + 1)
What is u in -2*u**2/7 - 63904*u/7 - 510465152/7 = 0?
-15976
Determine j, given that 8*j**5 + 372*j**4 - 1408*j**3 - 348*j**2 + 2624*j + 1200 = 0.
-50, -1, -1/2, 2, 3
Factor -4*z**2 - 62580*z + 62584.
-4*(z - 1)*(z + 15646)
Determine i so that -15*i**5/8 + 1051*i**4/8 - 11495*i**3/4 + 102239*i**2/4 - 650595*i/8 + 42471/8 = 0.
1/15, 9, 11, 39
Factor -w**4/6 + 13805*w**3/6 + 27613*w**2/6 + 13807*w/6.
-w*(w - 13807)*(w + 1)**2/6
Determine n so that 12*n**5 - 1276*n**4 + 40900*n**3 - 372196*n**2 + 1073856*n - 318096 = 0.
1/3, 6, 47
Solve -2*k**4/3 + 880*k**3 - 7884*k**2 + 23616*k - 23598 = 0 for k.
3, 1311
What is a in 2*a**5/3 - 40*a**4/3 + 62*a**3/3 + 64*a**2 