30408 = 0 for v.
-181, 42
Suppose -2*t**3 - 680*t**2 - 38986*t + 3426908 = 0. What is t?
-193, 46
Solve 5*h**5 - 325*h**4 + 4385*h**3 + 5385*h**2 - 9450*h = 0.
-2, 0, 1, 21, 45
Factor -m**3/4 + 2269*m**2/4 + 10269*m/2 - 20502.
-(m - 2278)*(m - 3)*(m + 12)/4
Factor h**2 - 1473*h + 1472.
(h - 1472)*(h - 1)
Factor -2*v**2/9 + 212*v/3 - 1200.
-2*(v - 300)*(v - 18)/9
Solve -3*y**2 - 27861*y + 195174 = 0 for y.
-9294, 7
Factor -10*c**5 - 105*c**4 - 180*c**3 + 540*c**2.
-5*c**2*(c + 6)**2*(2*c - 3)
Factor -2*p**5/7 + 794*p**4/7 - 106488*p**3/7 + 5983456*p**2/7 - 121370752*p/7.
-2*p*(p - 193)*(p - 68)**3/7
What is j in -5*j**4 - 745*j**3 + 790*j**2 + 5940*j - 9000 = 0?
-150, -3, 2
Let -p**3 + 2043*p**2 + 2046*p - 4088 = 0. What is p?
-2, 1, 2044
Solve -2*g**3 + 872*g**2 - 39850*g + 482500 = 0.
25, 386
Determine u so that -5*u**2 + 1720230*u - 147959562645 = 0.
172023
Let -u**2/3 - 3441526*u/3 - 2961025302169/3 = 0. What is u?
-1720763
Solve 49*j**3/2 - 1827*j**2/2 + 20679*j/2 - 63845/2 = 0 for j.
5, 113/7
Factor 28*y**3 + 792*y**2 + 2384*y - 8160.
4*(y - 2)*(y + 6)*(7*y + 170)
Suppose 2*k**5/5 - 12428*k**4/15 + 41374*k**3/15 - 9648*k**2/5 - 16552*k/15 + 16544/15 = 0. What is k?
-2/3, 1, 2, 2068
Factor 3*a**2/2 + 7695*a/2 + 15366.
3*(a + 4)*(a + 2561)/2
Factor -125*d**2/4 + 2560*d + 205.
-5*(d - 82)*(25*d + 2)/4
Find g such that 20*g**4 + 4105*g**3 + 139545*g**2 + 295430*g + 65200 = 0.
-163, -40, -2, -1/4
Determine s so that -3*s**2/8 - 6189*s/8 + 18621/4 = 0.
-2069, 6
Factor a**3/4 - 335*a**2/2 + 2296*a.
a*(a - 656)*(a - 14)/4
Factor 2*w**2/9 - 77392*w/3 + 748690208.
2*(w - 58044)**2/9
Factor j**2/4 + 3111*j/4 - 778.
(j - 1)*(j + 3112)/4
Suppose -1311*g**2/7 + 3972*g/7 - 117/7 = 0. Calculate g.
13/437, 3
What is c in -c**5/7 + 234*c**4/7 - 687*c**3/7 - 1394*c**2/7 + 264*c = 0?
-2, 0, 1, 4, 231
Factor -4*o**2 + 500*o - 6600.
-4*(o - 110)*(o - 15)
What is k in 2*k**3 + 1994*k**2 - 5996*k + 4000 = 0?
-1000, 1, 2
Find l such that 180*l**3 + 182460*l**2 + 46420325*l + 92112250 = 0.
-3035/6, -2
Find s such that 38*s**4/9 - 134*s**3/3 - 214*s**2/9 + 134*s/3 + 176/9 = 0.
-1, -8/19, 1, 11
Let 2*m**5 - 82*m**4 + 862*m**3 - 782*m**2 = 0. What is m?
0, 1, 17, 23
Determine c so that 3*c**2 - 112386*c/5 + 44952/5 = 0.
2/5, 7492
Let -2*y**4/9 - 106*y**3/9 - 872*y**2/9 + 8288*y/3 + 31360 = 0. What is y?
-28, -12, 15
Factor -3*z**2/2 + 1323*z/2 - 17346.
-3*(z - 413)*(z - 28)/2
Let -5*q**5 + 825*q**4 - 9045*q**3 - 20585*q**2 - 10710*q = 0. Calculate q.
-1, 0, 14, 153
Let 2*g**5/3 - 282*g**4 + 29962*g**3 - 89042*g**2/3 = 0. What is g?
0, 1, 211
Factor -60*g**2/7 + 22408*g/7 - 32736/7.
-4*(g - 372)*(15*g - 22)/7
Determine i, given that -i**5/5 - 3*i**4 + 19*i**3/5 + 47*i**2/5 - 18*i/5 - 32/5 = 0.
-16, -1, 1, 2
Factor 3*z**2 + 243*z - 11286.
3*(z - 33)*(z + 114)
Suppose 2*a**2/11 - 512*a/11 + 26270/11 = 0. What is a?
71, 185
Solve 5*g**4 + 80*g**3 + 165*g**2 - 1130*g + 880 = 0 for g.
-11, -8, 1, 2
Solve 5*b**4 - 65830*b**3 - 15*b**2 + 197500*b - 131660 = 0.
-2, 1, 13166
Factor g**2/2 + 2401*g/2 + 4794.
(g + 4)*(g + 2397)/2
Suppose -5*m**3 - 275*m**2 + 3305*m + 3575 = 0. What is m?
-65, -1, 11
Factor -2*k**2/3 - 58*k/3 + 2464.
-2*(k - 48)*(k + 77)/3
Determine s so that -70*s**4 - 24015*s**3 - 2048515*s**2 + 1924680*s + 147920 = 0.
-172, -1/14, 1
Let -k**2/6 + 5983*k/3 - 35796289/6 = 0. What is k?
5983
Factor m**4/2 - 147*m**3/2 + 357*m**2 - 284*m.
m*(m - 142)*(m - 4)*(m - 1)/2
Factor -g**2/9 + 23*g/3 - 980/9.
-(g - 49)*(g - 20)/9
Factor 3*d**2 - 49629*d + 248070.
3*(d - 16538)*(d - 5)
Determine l so that 10*l**3/7 + 124*l**2/7 - 1902*l/7 - 288 = 0.
-21, -1, 48/5
Factor 3*j**2 - 1551*j - 96264.
3*(j - 573)*(j + 56)
Factor -d**4 + 23*d**3 + 3434*d**2 + 6768*d.
-d*(d - 72)*(d + 2)*(d + 47)
Suppose -3*l**5 + 582*l**4 - 42087*l**3 + 1344420*l**2 - 16008300*l = 0. What is l?
0, 42, 55
Factor 2*g**4/11 - 6*g**3 - 468*g**2/11.
2*g**2*(g - 39)*(g + 6)/11
Suppose -245*k**4/2 - 6139*k**3/2 - 1751*k**2/10 - 5*k/2 = 0. What is k?
-25, -1/35, 0
Factor -4*m**4/5 + 1504*m**3/5 + 2772*m**2.
-4*m**2*(m - 385)*(m + 9)/5
Solve -6*g**4/7 + 460*g**3/7 + 4856*g**2/7 - 3440*g/7 = 0 for g.
-10, 0, 2/3, 86
Factor -2*v**2 + 1322436*v - 218604621762.
-2*(v - 330609)**2
Factor -y**3/2 - 201*y**2/2 + 14256*y.
-y*(y - 96)*(y + 297)/2
Factor -4*w**3 + 2832*w**2 + 51984*w + 209088.
-4*(w - 726)*(w + 6)*(w + 12)
Factor 2*q**2/7 + 270170*q/7 + 270168/7.
2*(q + 1)*(q + 135084)/7
Solve -4*h**4 - 2351*h**3 + 82696*h**2 + 63929*h - 21114 = 0.
-621, -1, 1/4, 34
Factor 4*q**2 + 31028*q.
4*q*(q + 7757)
Factor k**4 - 11*k**3 - 23*k**2 + 267*k + 630.
(k - 10)*(k - 7)*(k + 3)**2
Let -5*p**2 + 1245840*p - 77605865280 = 0. Calculate p.
124584
Factor m**3 - 2353*m**2 - 11784*m - 14148.
(m - 2358)*(m + 2)*(m + 3)
Factor -7*o**3 + 2840*o**2 + 9401*o + 2454.
-(o - 409)*(o + 3)*(7*o + 2)
Find u, given that -u**2 + 1907*u + 13398 = 0.
-7, 1914
Factor -5*m**5 - 5275*m**4 + 761640*m**3 - 25852860*m**2.
-5*m**2*(m - 66)**2*(m + 1187)
Determine p, given that -p**3 - 26183*p**2 + 471537*p - 2122281 = 0.
-26201, 9
Find p such that -p**2/2 + 5494*p - 21968 = 0.
4, 10984
Factor r**4 + 26*r**3 - 105*r**2 - 522*r.
r*(r - 6)*(r + 3)*(r + 29)
Find n such that -93*n**2 + 23358*n + 19656 = 0.
-26/31, 252
Factor 2*u**2 + 5258*u + 822308.
2*(u + 167)*(u + 2462)
Find x, given that -2*x**5/9 - 280*x**4/9 + 8044*x**3/3 + 25784*x**2/9 - 122834*x/9 + 24400/3 = 0.
-200, -3, 1, 61
Suppose 4*j**3/3 + 15358*j**2/3 - 23050*j/3 - 15364/3 = 0. What is j?
-3841, -1/2, 2
Factor -3*g**2 - 27*g + 14850.
-3*(g - 66)*(g + 75)
Factor 3*c**4 + 18804*c**3 + 29371698*c**2 - 295128780*c + 738999075.
3*(c - 5)**2*(c + 3139)**2
Factor 4*g**2 + 334268*g - 668552.
4*(g - 2)*(g + 83569)
Determine o so that -o**2/2 - 371*o + 3000 = 0.
-750, 8
Suppose 2*d**3/9 + 1356458*d**2/9 + 76665988816*d/3 + 25555178888 = 0. What is d?
-339114, -1
Determine q so that 3*q**2 - 70002*q + 408356667 = 0.
11667
Factor w**3 + 4644*w**2 - 4651*w - 27870.
(w - 3)*(w + 2)*(w + 4645)
Solve 2*f**2/7 - 3246*f/7 - 13016/7 = 0 for f.
-4, 1627
Suppose -8*o**2 - 2874*o - 718 = 0. What is o?
-359, -1/4
Suppose -29282*d**4 + 86636*d**3 + 320214*d**2 - 39008*d - 338560 = 0. What is d?
-184/121, 1, 5
What is h in h**5/6 + 8*h**4/3 - 305*h**3/6 + 440*h**2/3 + 152*h/3 - 448/3 = 0?
-28, -1, 1, 4, 8
Solve -p**3/5 + 2423*p**2/5 - 291843*p - 2066715 = 0 for p.
-7, 1215
Find n such that -15*n**5 + 1495*n**4 + 71240*n**3 - 72720*n**2 = 0.
-36, 0, 1, 404/3
Find x such that 9305*x**2/6 + 3105*x/2 + 5/3 = 0.
-1, -2/1861
Factor -t**2 - 624*t + 4417.
-(t - 7)*(t + 631)
Factor 5*j**2 - 32835*j - 131420.
5*(j - 6571)*(j + 4)
Solve i**2/11 + 53*i/11 - 488/11 = 0.
-61, 8
Factor 2*u**3 + 1648*u**2 + 47578*u - 49228.
2*(u - 1)*(u + 31)*(u + 794)
Factor 3*l**2/5 - 837*l/5 + 4914/5.
3*(l - 273)*(l - 6)/5
Factor 2*d**3/17 + 83454*d**2/17 + 870529536*d/17 - 870612992/17.
2*(d - 1)*(d + 20864)**2/17
Solve -2*w**4/9 + 3808*w**3/3 - 16302044*w**2/9 - 10879456*w/3 - 16324898/9 = 0 for w.
-1, 2857
Solve 4*t**3/5 + 39936*t**2/5 + 19823760*t - 2806724032/5 = 0.
-5006, 28
Factor -u**4 + 11734*u**3 - 34468593*u**2 + 275185768*u - 549996304.
-(u - 5863)**2*(u - 4)**2
Suppose -4*m**3 - 3304*m**2 - 6596*m - 3296 = 0. What is m?
-824, -1
Factor -4*u**2 - 3588*u - 692384.
-4*(u + 281)*(u + 616)
Factor 2*z**2/7 - 1311846*z/7 - 1311848/7.
2*(z - 655924)*(z + 1)/7
Factor 3*s**5 - 12*s**4 - 9*s**3 + 30*s**2 + 24*s.
3*s*(s - 4)*(s - 2)*(s + 1)**2
Suppose -a**5 - 5997*a**4/4 + 34573*a**3/4 - 31595*a**2/2 + 7527*a + 3010 = 0. Calculate a.
-1505, -1/4, 2
Determine a so that -a**5/3 + 11*a**4/3 + 45*a**3 + 325*a**2/3 - 14*a/3 - 152 = 0.
-4, -3, -2, 1, 19
Let 5*z**2 + 13649040*z + 9314814646080 = 0. Calculate z.
-1364904
Factor -2*i**2/9 - 59980*i/9 - 449700050/9.
-2*(i + 14995)**2/9
Factor 2*w**3/9 - 292*w**2/9 - 1718*w/3 - 540.
2*(w - 162)*(w + 1)*(w + 15)/9
Find r such that -2*r**3 - 5134*r**2 - 3240176*r + 70326312 = 0.
-1294, 21
Factor 2*r**4/3 - 288*r**3 + 7672*r**2 - 158368*r/3.
2*r*(r - 404)*(r - 14)**2/3
Find p such that -200*p**5/11 - 4230*p**4/11 + 13932*p**3/11 + 6074*p**2/11 + 624*p/11 = 0.
-24, -1/5, 0, 13/4
Let 45*u**4 - 50295*u**3 + 33515*u**2 - 5585*u = 0. Calculate u.
0, 1/3, 1117
Factor -y**2 - 18726*y - 87665769.
-(y + 936