u**2/4 - 31335*u/2 - 62665/4.
-5*(u + 1)*(u + 12533)/4
Find d such that 5*d**4 + 2470*d**3 + 71765*d**2 = 0.
-463, -31, 0
Factor d**2/6 - 24506*d/3 + 300272018/3.
(d - 24506)**2/6
Solve 3*p**2/4 + 26355*p/2 + 158103/4 = 0.
-17567, -3
Determine n so that -1331*n**5/7 - 1548558*n**4/7 - 449996712*n**3/7 + 245759984*n**2/7 - 44702256*n/7 + 2709792/7 = 0.
-582, 2/11
Determine v, given that 7*v**5/3 + 1027*v**4/3 + 1729*v**3/3 - 1607*v**2/3 - 1736*v/3 + 580/3 = 0.
-145, -2, -1, 2/7, 1
Determine y so that -96*y**3 - 45896*y**2 - 3820*y + 1912 = 0.
-478, -1/4, 1/6
Let 3*n**3 + 1806*n**2 - 5445*n = 0. Calculate n.
-605, 0, 3
Factor 20*d**5 + 95*d**4 - 1050*d**3.
5*d**3*(d + 10)*(4*d - 21)
Let -h**2/2 - 332350*h - 664699/2 = 0. What is h?
-664699, -1
Find j, given that -9*j**3 + 11392*j**2 + 94260*j + 20384 = 0.
-8, -2/9, 1274
Factor -o**4 - 174*o**3 + 21843*o**2 + 44204*o + 22188.
-(o - 86)*(o + 1)**2*(o + 258)
Factor g**3/3 - 282*g**2 - 17389*g/3 + 19918.
(g - 866)*(g - 3)*(g + 23)/3
Factor g**3 + 21222*g**2 + 112593321*g.
g*(g + 10611)**2
Factor -t**5/10 - 363*t**4/5 + 10044*t**3/5 - 18225*t**2 + 548937*t/10.
-t*(t - 9)**3*(t + 753)/10
Factor -4*r**2 + 2120*r - 192096.
-4*(r - 414)*(r - 116)
Suppose -20*o**4 - 195*o**3 - 430*o**2 + 120*o = 0. What is o?
-6, -4, 0, 1/4
Determine u so that 4*u**5/3 + 68012*u**4 + 2601816056*u**3/3 - 2602224136*u**2/3 - 867272020*u + 2602020100/3 = 0.
-25505, -1, 1
Factor -4*d**5 - 1784*d**4 - 12292*d**3.
-4*d**3*(d + 7)*(d + 439)
Determine d so that 8*d**5/9 + 166*d**4/9 - 218*d**3/9 + 44*d**2/9 = 0.
-22, 0, 1/4, 1
Let -b**4/3 - 142*b**3 - 2484*b**2 + 5398974*b + 576533295 = 0. What is b?
-207, 195
Factor 5*p**2 - 3380*p - 44785.
5*(p - 689)*(p + 13)
Let -2*h**3/3 - 638*h**2/3 - 6796*h/3 - 6160/3 = 0. What is h?
-308, -10, -1
Factor -f**3/2 + 334041*f**2/2 - 27896348475*f/2 + 83686039083/2.
-(f - 167019)**2*(f - 3)/2
Factor -3*a**2/2 + 2665737*a - 2368717917723/2.
-3*(a - 888579)**2/2
Determine z, given that -35*z**5 - 3120*z**4 + 12435*z**3 - 11180*z**2 - 1860*z = 0.
-93, -1/7, 0, 2
Factor -q**3/6 + 155*q**2/3 - 25777*q/6 + 44402.
-(q - 149)**2*(q - 12)/6
Determine l, given that 2*l**3/7 - 4156*l**2/7 - 2*l/7 + 4156/7 = 0.
-1, 1, 2078
Factor -t**3 - 22195*t**2 - 22192*t + 44388.
-(t - 1)*(t + 2)*(t + 22194)
Solve -2*w**4/3 + 40*w**3 + 2622*w**2 + 100520*w/3 + 56856 = 0.
-23, -18, -2, 103
Suppose m**2 - 160192*m + 6415369216 = 0. Calculate m.
80096
Determine t so that 2*t**4 + 154*t**3/9 + 22*t**2 - 190*t/3 + 200/9 = 0.
-5, 4/9, 1
Solve -2*c**4 - 4*c**3 + 2086*c**2 + 17640*c = 0.
-28, -9, 0, 35
Let 5*g**5 - 220*g**4 + 810*g**3 - 380*g**2 - 815*g + 600 = 0. Calculate g.
-1, 1, 3, 40
Find f such that -48*f**4/5 - 106968*f**3/5 - 59514267*f**2/5 + 17890398*f - 6713415 = 0.
-1115, 3/4
Let -125*b**5/2 - 75*b**4/4 + 11345*b**3/4 - 4335*b**2/4 - 11095*b/4 + 2205/2 = 0. What is b?
-7, -1, 2/5, 1, 63/10
What is f in -f**2/3 - 75599*f/3 - 125990 = 0?
-75594, -5
Factor 147*z**3/2 - 1325*z**2/2 - 1608*z + 22.
(z - 11)*(z + 2)*(147*z - 2)/2
Suppose z**5/8 + 11501*z**4/4 + 45995*z**3/4 - 5751*z**2 - 275967*z/8 + 103491/4 = 0. Calculate z.
-22998, -3, 1
Solve -r**2/6 - 148285*r - 65965323675/2 = 0 for r.
-444855
Let -2*x**3/11 - 23326*x**2/11 - 93262*x/11 + 116590/11 = 0. Calculate x.
-11659, -5, 1
Factor 2*s**2 - 40120*s + 201201800.
2*(s - 10030)**2
Suppose -3*f**2 - 37674*f + 263865 = 0. Calculate f.
-12565, 7
Factor 424*m**2 + 1899524*m + 17920.
4*(m + 4480)*(106*m + 1)
Solve 4*z**5 - 3472*z**4 + 313324*z**3 - 609328*z**2 - 313328*z + 612800 = 0 for z.
-1, 1, 2, 100, 766
Factor -4*z**3/3 - 5200*z**2/3 - 1695188*z/3 - 3369608/3.
-4*(z + 2)*(z + 649)**2/3
Factor -f**3 + 7182*f**2 + 259524*f + 2338632.
-(f - 7218)*(f + 18)**2
What is n in 2*n**3/21 + 898*n**2/7 - 2708*n/3 = 0?
-1354, 0, 7
Find j such that -6*j**5 - 1041*j**4 + 1647*j**3 + 12531*j**2 - 12201*j - 22050 = 0.
-175, -3, -1, 2, 7/2
Solve -j**4/3 - 91*j**3 + 832*j**2/3 + 368*j = 0 for j.
-276, -1, 0, 4
Determine t so that 33*t**4/7 - 21*t**3 + 174*t**2/7 + 12*t/7 - 72/7 = 0.
-6/11, 1, 2
Solve -4*w**2 - 12524*w = 0.
-3131, 0
Solve -4*x**5 - 2216*x**4 - 302408*x**3 + 1261040*x**2 + 2157228*x - 3113640 = 0.
-279, -2, 1, 5
Suppose -2*n**2/7 + 81364*n/7 - 827512562/7 = 0. Calculate n.
20341
Solve -2*i**4/3 + 28*i**3 - 440*i**2 + 9196*i/3 - 7986 = 0 for i.
9, 11
Find x such that x**2/5 + 11384*x/5 = 0.
-11384, 0
What is b in b**5/6 - 179*b**4/2 + 7307*b**3/6 + 2615*b**2/2 = 0?
-1, 0, 15, 523
Factor -3*a**2 + 342*a + 2928.
-3*(a - 122)*(a + 8)
Factor 2*o**5/5 + 2518*o**4/5 + 10052*o**3/5 + 15068*o**2/5 + 10042*o/5 + 502.
2*(o + 1)**4*(o + 1255)/5
Factor -3*a**4 + 300597*a**3 + 1803654*a**2 + 3607356*a + 2404920.
-3*(a - 100205)*(a + 2)**3
Suppose 2*c**3/7 - 36416*c**2/7 - 72838*c/7 - 36420/7 = 0. Calculate c.
-1, 18210
Factor -j**2/5 + 13*j + 28014/5.
-(j - 203)*(j + 138)/5
Solve 4098*m**2 + 49155*m - 252 = 0 for m.
-12, 7/1366
Suppose z**2/4 + 46927*z/2 = 0. What is z?
-93854, 0
Let 4*r**5 - 4*r**4 - 36*r**3 - 44*r**2 - 16*r = 0. What is r?
-1, 0, 4
Solve 4*p**5 - 544*p**4 + 24100*p**3 - 331176*p**2 - 736848*p - 381024 = 0 for p.
-1, 42, 54
Factor w**2 - 26476*w + 175244644.
(w - 13238)**2
Solve -s**5/8 + 43*s**4/2 - 169*s**3/2 + 84*s**2 = 0.
0, 2, 168
Determine t, given that t**4 - 1132*t**3 + 323734*t**2 - 1911948*t + 2852721 = 0.
3, 563
Factor -s**4 + 8*s**3 + 4*s**2 - 32*s.
-s*(s - 8)*(s - 2)*(s + 2)
Determine u so that 5*u**2 - 1174330*u + 3522945 = 0.
3, 234863
Factor 4*q**2 + 19920*q - 1311700.
4*(q - 65)*(q + 5045)
What is j in 4*j**2 + 365944*j + 8369688196 = 0?
-45743
Suppose 72*j**4 - 112308*j**3 - 18736*j**2 + 24956*j + 6240 = 0. What is j?
-1/3, 1/2, 1560
Factor c**5 + 167*c**4 + 10314*c**3 + 273416*c**2 + 2319328*c - 9710976.
(c - 3)*(c + 38)*(c + 44)**3
Factor -2*w**2/5 - 192*w/5 + 57344/5.
-2*(w - 128)*(w + 224)/5
Find i, given that -39*i**4/4 + 8925*i**3/4 + 16392*i**2 + 16275*i + 2124 = 0.
-6, -1, -2/13, 236
Factor -4*b**2 - 144*b + 5104.
-4*(b - 22)*(b + 58)
Suppose 4*d**2 - 8932*d + 8928 = 0. Calculate d.
1, 2232
Factor -8*m**2 + 186894*m + 46724.
-2*(m - 23362)*(4*m + 1)
Suppose 5*p**3 - 66075*p**2 + 218526360*p - 1526448560 = 0. Calculate p.
7, 6604
Find c such that -3*c**4 - 51*c**3 + 1182*c**2 + 204*c - 4680 = 0.
-30, -2, 2, 13
Solve -3*k**5/8 - 219*k**4/4 - 16407*k**3/8 - 3726*k**2 + 5832*k = 0 for k.
-72, -3, 0, 1
Factor -v**4 - 38*v**3 - 361*v**2 - 612*v - 288.
-(v + 1)**2*(v + 12)*(v + 24)
Find k such that -3*k**4/5 - 123*k**3/5 + 246*k**2 + 39852*k/5 - 83592/5 = 0.
-43, -18, 2, 18
Find h such that -2*h**3 - 3774*h**2 - 30096*h - 60128 = 0.
-1879, -4
Factor a**4 - 75*a**3 - 4*a**2 + 300*a.
a*(a - 75)*(a - 2)*(a + 2)
Determine h, given that -2*h**2/9 + 100*h/9 + 10336/3 = 0.
-102, 152
Solve -2*z**3/11 + 5112*z**2/11 - 3266568*z/11 = 0.
0, 1278
What is w in 6*w**5 + 15700*w**4 + 41812*w**3 - 31384*w**2 - 41818*w + 15684 = 0?
-2614, -3, -1, 1/3, 1
Solve -53*y**4/4 + 185*y**3 + 929*y**2/4 - 389*y - 15 = 0 for y.
-2, -2/53, 1, 15
Let -2*a**4/3 + 2*a**3/3 + 158*a**2 - 506*a/3 - 25168/3 = 0. Calculate a.
-13, -8, 11
Suppose -231*d**5 - 2451*d**4 + 4248*d**3 + 4548*d**2 - 2496*d - 576 = 0. What is d?
-12, -1, -2/11, 4/7, 2
Find m such that -69*m**4/4 + 315*m**3/2 - 1737*m**2/4 + 330*m - 36 = 0.
3/23, 1, 4
Find m such that 4*m**2 + 113312*m + 453184 = 0.
-28324, -4
Factor -3*m**4 - 393*m**3 - 18981*m**2 - 398379*m - 3039180.
-3*(m + 20)*(m + 37)**3
Let -5*n**5 + 280*n**4 - 3070*n**3 + 12200*n**2 - 16125*n = 0. What is n?
0, 3, 5, 43
What is c in 2*c**3/7 - 8460*c**2/7 + 8766144*c/7 + 54749952 = 0?
-42, 2136
Factor l**2/9 + 53384*l/9 + 712462864/9.
(l + 26692)**2/9
Factor 3*j**3/8 + 92217*j**2/8 + 88600362*j + 265697352.
3*(j + 3)*(j + 15368)**2/8
Determine c so that 5*c**3/3 + 115*c**2 + 2520*c + 17820 = 0.
-33, -18
Factor 4*n**3 - 1360*n**2 + 3884*n + 53920.
4*(n - 337)*(n - 8)*(n + 5)
Factor p**5 + 1370*p**4 + 491937*p**3 + 15557720*p**2 + 128958736*p.
p*(p + 17)**2*(p + 668)**2
Suppose 2*q**3/5 + 180*q**2 + 1770*q + 4400 = 0. Calculate q.
-440, -5
Factor x**2/4 - 9*x - 595.
(x - 70)*(x + 34)/4
Factor -4*x**3 - 308*x**2 - 3376*x - 3072.
-4*(x + 1)*(x + 12)*(x + 64)
Find h, given that 2*h**5/23 - 18*h**4/23 - 74*h**3/23 + 554*h**2/23 + 1248*h/23 + 640/2