-1
Suppose 49*x**2 - 170282*x + 147938569 = 0. Calculate x.
12163/7
Suppose 100*f**5 - 1920*f**4 + 3696*f**3 + 62552*f**2 - 77460*f + 23400 = 0. Calculate f.
-5, 3/5, 10, 13
Factor 2*k**4/9 + 14374*k**3/9 + 38288*k**2/3.
2*k**2*(k + 8)*(k + 7179)/9
Solve -l**5 + 83*l**4 + 2946*l**3 + 2692*l**2 - 5720*l = 0.
-26, -2, 0, 1, 110
Factor d**2 + 3548*d - 17765.
(d - 5)*(d + 3553)
Let 2*a**4 - 53660*a**3 + 359656050*a**2 + 3600586000*a + 9004820000 = 0. Calculate a.
-5, 13420
Determine w, given that -w**4 - 100*w**3 - 293*w**2 - 194*w = 0.
-97, -2, -1, 0
Solve -26*f**3 - 542*f**2 + 5180*f - 784 = 0 for f.
-28, 2/13, 7
Solve r**3/8 - r**2/2 - 19*r/8 - 7/4 = 0 for r.
-2, -1, 7
Suppose -3*k**4/2 - 324*k**3 + 1980*k**2 - 3984*k + 2664 = 0. What is k?
-222, 2
Factor 4*k**2 - 38528*k + 1687488.
4*(k - 9588)*(k - 44)
Find b such that 147*b**2/8 + 285453*b/4 + 554308947/8 = 0.
-13593/7
Suppose 5*c**2 - 5630*c + 39165 = 0. Calculate c.
7, 1119
Factor 4*z**3 - 19696*z**2 + 78736*z - 78720.
4*(z - 4920)*(z - 2)**2
Factor -s**3 + 684*s**2 + 22656*s + 183296.
-(s - 716)*(s + 16)**2
Find q such that 2*q**2/9 + 52040*q/9 + 338520200/9 = 0.
-13010
Find t such that t**3/2 + 3194*t**2 - 12783*t/2 - 9585 = 0.
-6390, -1, 3
Let -2*a**4/7 - 46*a**3/7 - 222*a**2/7 - 306*a/7 = 0. Calculate a.
-17, -3, 0
Find x, given that 4*x**3 - 6200*x**2 - 18628*x - 12424 = 0.
-2, -1, 1553
Factor -5*k**3/3 + 323545*k**2 + 1294200*k + 3882620/3.
-5*(k - 194131)*(k + 2)**2/3
Factor 68*g**3 - 615000*g**2 + 1390569264*g - 163587872.
4*(g - 4522)**2*(17*g - 2)
Solve 5*l**4 + 2435*l**3 + 26300*l**2 + 56940*l - 85680 = 0 for l.
-476, -6, 1
Let w**2/4 - 228021*w/2 + 51993576441/4 = 0. Calculate w.
228021
Find j such that 3*j**3/5 + 33*j**2/5 - 1347*j/5 - 1377/5 = 0.
-27, -1, 17
Factor b**3/4 + 341*b**2/4 + 35815*b/4 + 1072275/4.
(b + 51)*(b + 145)**2/4
Factor 20*o**4 + 27100*o**3 + 81165*o**2 + 60840*o.
5*o*(o + 1352)*(2*o + 3)**2
Determine m so that 2*m**3 - 2882*m**2 - 2884*m = 0.
-1, 0, 1442
Find y, given that 5*y**5 + 465*y**4 + 3465*y**3 + 5555*y**2 + 2550*y = 0.
-85, -6, -1, 0
Factor -5*l**3/2 + 335*l**2/2 - 4255*l/2 - 47915/2.
-5*(l - 37)**2*(l + 7)/2
Factor 2*u**2/3 + 320*u/3 + 1786.
2*(u + 19)*(u + 141)/3
Suppose 12*s**3 + 946*s**2 - 3110*s + 492 = 0. Calculate s.
-82, 1/6, 3
Factor j**2/4 + 526507*j/4 - 526509/2.
(j - 2)*(j + 526509)/4
Determine b so that 20*b**4 - 875*b**3 + 2160*b**2 + 3875*b + 820 = 0.
-1, -1/4, 4, 41
Let -4*n**5 + 1560*n**4 + 12656*n**3 + 31776*n**2 + 25472*n = 0. What is n?
-4, -2, 0, 398
Factor 4*y**5 + 384*y**4 + 8112*y**3 + 42152*y**2 - 265716*y - 2204136.
4*(y - 6)*(y + 11)**3*(y + 69)
Factor 3*x**3/2 + 15*x**2/8 - 21*x/8 - 3/4.
3*(x - 1)*(x + 2)*(4*x + 1)/8
Determine p so that 10*p**4 + 19506*p**3 - 7814*p**2 - 19506*p + 7804 = 0.
-1951, -1, 2/5, 1
Suppose 15*h**3 + 5838*h**2 + 23112*h = 0. What is h?
-1926/5, -4, 0
Factor -5*b**3 - 1291860*b**2 - 83443821105*b + 166892809690.
-5*(b - 2)*(b + 129187)**2
Find h, given that h**4/2 - 27*h**3 + 341*h**2/2 + 1398*h + 1890 = 0.
-3, -2, 14, 45
Factor 2*f**3/19 + 658*f**2/19 + 39894*f/19 - 2478186/19.
2*(f - 37)*(f + 183)**2/19
Solve 2*n**2 + 2556*n - 2558 = 0 for n.
-1279, 1
Factor -2*d**4 - 204*d**3 + 246*d**2 + 4120*d.
-2*d*(d - 5)*(d + 4)*(d + 103)
Suppose h**4/4 + 25*h**3/2 + 137*h**2 - 625*h/2 + 651/4 = 0. Calculate h.
-31, -21, 1
What is l in l**4/5 - 500*l**3 + 1589658*l**2/5 - 6764940*l + 32237541/5 = 0?
1, 21, 1239
Find g such that -2*g**4/5 - 1538*g**3/5 - 138018*g**2/5 - 722390*g - 2960060 = 0.
-670, -47, -5
Suppose z**4/4 + 55*z**3/4 + 275*z**2/2 - 1875*z - 11250 = 0. Calculate z.
-30, -5, 10
Let c**2/6 + 479*c/3 + 229441/6 = 0. Calculate c.
-479
Factor 4*c**2/3 + 1792*c/3 + 2368.
4*(c + 4)*(c + 444)/3
Factor 2*b**3/13 + 54*b**2/13 + 430*b/13 + 1050/13.
2*(b + 5)*(b + 7)*(b + 15)/13
Solve 3*a**5 + 816*a**4 - 18009*a**3 + 130602*a**2 - 364512*a + 337536 = 0.
-293, 2, 3, 8
Factor 2*m**2/15 - 2324*m/15 + 2318/5.
2*(m - 1159)*(m - 3)/15
Find w, given that -4*w**2 + 33352*w - 66688 = 0.
2, 8336
Solve 36*o**4 - 1088*o**3 + 852*o**2 + 12392*o - 2784 = 0.
-3, 2/9, 4, 29
Factor -2*u**3/3 - 30080*u**2/3 - 60154*u/3 - 30076/3.
-2*(u + 1)**2*(u + 15038)/3
What is b in -b**5/4 + 27*b**4 - 2961*b**3/4 + 3967*b**2/2 + 105*b - 2646 = 0?
-1, 2, 42, 63
Factor -5*n**3 - 147520*n**2 - 1088255025*n - 2175920010.
-5*(n + 2)*(n + 14751)**2
Suppose 5*l**3 + 43060*l**2 + 43045*l - 86110 = 0. Calculate l.
-8611, -2, 1
Factor -v**2/3 - 1708*v + 35917/3.
-(v - 7)*(v + 5131)/3
Find v, given that 3*v**4/2 + 5385*v**3/2 + 1139517*v**2 - 62619474*v - 63756300 = 0.
-922, -1, 50
Find z such that 281*z**4 - 3659*z**3 + 4574*z**2 + 53856*z - 1152 = 0.
-3, 6/281, 8
Factor -5*j**5 + 13830*j**4 - 9535745*j**3 - 38309100*j**2 - 38364500*j.
-5*j*(j - 1385)**2*(j + 2)**2
Solve -j**2 - 1257*j - 17402 = 0 for j.
-1243, -14
Determine f, given that 5*f**5 + 910*f**4 - 3695*f**3 + 4640*f**2 - 1860*f = 0.
-186, 0, 1, 2
Find k, given that -3*k**2 + 1959*k + 615960 = 0.
-232, 885
Factor -3*i**4/7 - 6522*i**3/7 - 19548*i**2/7 - 19542*i/7 - 6513/7.
-3*(i + 1)**3*(i + 2171)/7
Determine p, given that p**5/2 + 13*p**4/2 - 23*p**3 - 119*p**2 + 45*p/2 + 225/2 = 0.
-15, -3, -1, 1, 5
Determine h, given that 4*h**2 + 490668*h = 0.
-122667, 0
Determine p, given that -3*p**2 - 4356*p - 321516 = 0.
-1374, -78
Find g such that 2*g**5 - 1103*g**4 - 552*g**3 = 0.
-1/2, 0, 552
Factor 2*o**3 + 28410*o**2 + 100962000*o + 504100000.
2*(o + 5)*(o + 7100)**2
Factor -i**3/3 + 5*i**2 - 23*i/3 - 13.
-(i - 13)*(i - 3)*(i + 1)/3
Factor 2*h**2/7 - 83408*h/7 + 869611808/7.
2*(h - 20852)**2/7
Factor -j**3 + 2476*j**2 + 2479*j - 4954.
-(j - 2477)*(j - 1)*(j + 2)
Let 3*f**2 - 142788*f + 1699034412 = 0. What is f?
23798
Determine d, given that -d**4/9 - 292*d**3/3 - 62761*d**2/3 + 1570868*d/9 + 195364 = 0.
-442, -1, 9
Determine a, given that -4*a**5/5 - 1696*a**4/5 - 26292*a**3/5 - 72792*a**2/5 + 264384*a/5 = 0.
-408, -9, 0, 2
Find c, given that -144883445*c**2 - 215320*c - 80 = 0.
-4/5383
Determine t so that -2*t**2/15 - 3286*t/15 + 17696/5 = 0.
-1659, 16
Factor 5*k**5 + 1095*k**4 + 2175*k**3 + 1085*k**2.
5*k**2*(k + 1)**2*(k + 217)
Find p, given that 4*p**4 + 112*p**3 - 1592*p**2 + 4752*p - 3276 = 0.
-39, 1, 3, 7
What is q in -87*q**4 + 5309*q**3 + 10840*q**2 - 252*q = 0?
-2, 0, 2/87, 63
Solve -6*i**4 - 24573*i**3 + 61512*i**2 + 172092*i - 98352 = 0 for i.
-4098, -2, 1/2, 4
Factor -3*p**2 - 4653*p + 4656.
-3*(p - 1)*(p + 1552)
Factor -j**2/3 - 3286*j/3 + 28704.
-(j - 26)*(j + 3312)/3
Factor s**2 + 855*s + 167006.
(s + 302)*(s + 553)
Solve -a**4/3 - 10252*a**3/3 - 26943796*a**2/3 - 1141252640*a - 37176427200 = 0.
-5060, -66
Find x, given that 4*x**2 - 38652*x + 115920 = 0.
3, 9660
Let 2*z**5/5 - 442*z**4/5 + 33694*z**3/5 - 983918*z**2/5 + 7365696*z/5 + 8383752/5 = 0. What is z?
-1, 13, 53, 78
Let -4*l**5 - 988*l**4 - 980*l**3 + 988*l**2 + 984*l = 0. Calculate l.
-246, -1, 0, 1
Let -45*k**3 + 1040*k**2 - 2900*k + 2000 = 0. What is k?
10/9, 2, 20
Factor 6*r**2 + 22131*r/2 + 27645/2.
3*(r + 1843)*(4*r + 5)/2
Factor 2*m**2 - 976*m + 110880.
2*(m - 308)*(m - 180)
Determine f, given that -f**3 - 423*f**2 + 2998*f - 5160 = 0.
-430, 3, 4
Factor -v**2 - 214*v - 5973.
-(v + 33)*(v + 181)
Solve -3*d**3/5 - 2847*d**2/5 - 334914*d/5 + 136248 = 0.
-811, -140, 2
Factor i**2 - 439*i - 1326.
(i - 442)*(i + 3)
Determine q so that -15*q**5 - 492*q**4 + 1443*q**3/5 + 32016*q**2/5 + 4860*q + 4752/5 = 0.
-33, -3, -2/5, 4
Factor 2*r**3 + 314*r**2 - 634*r + 318.
2*(r - 1)**2*(r + 159)
Suppose 10*y**3/19 - 1514*y**2/19 - 1115456*y/19 + 23496 = 0. What is y?
-267, 2/5, 418
What is f in -4*f**5 + 15112*f**4 - 45312*f**3 + 45304*f**2 - 15100*f = 0?
0, 1, 3775
Factor m**3/5 + 6323*m**2/5 + 37907*m/5 + 6317.
(m + 1)*(m + 5)*(m + 6317)/5
Find q such that 2*q**2 + 36*q - 22736 = 0.
-116, 98
Determine v, given that 3*v**5/8 - 15*v**4/8 - 75*v**3/8 + 15*v**2/8 + 9*v = 0.
-3, -1, 0, 1, 8
Factor 5*k**3 - 505*k**2 - 6370*k + 23520.
5*(k - 112)*(k - 3)*(k + 14)
Factor -4*o**4/5 + 2642*o**3/5 - 87384*o**2 + 43560*o.
-2*o*(o - 330)**2*(2*o - 1)/5
Factor v**3 + 2486*v**2 + 2485*v.
v*(v + 1)*(v + 2485)
Factor 3*w**3 + 417*w**2 - 1812*w - 13728.
3*(w - 8)*(w + 4)*(w + 143)
Let 42*n**2 - 252587*n - 6014 = 0. Calculate n.
-