0.
3*(x + 70)*(x + 1323)
Determine c so that 2*c**3/15 + 602318*c**2/5 + 136044813762*c/5 - 408136248242/15 = 0.
-451739, 1
Suppose b**2/3 + 44698*b/3 + 499477801/3 = 0. What is b?
-22349
Determine v so that -2*v**3/5 - 32154*v**2/5 = 0.
-16077, 0
Let 2*c**2 - 2958*c + 92608 = 0. Calculate c.
32, 1447
Factor -80*t**3 + 325*t**2 + 940*t - 60.
-5*(t - 6)*(t + 2)*(16*t - 1)
Determine v so that 2*v**4/5 - 38746*v**3/5 - 38752*v**2/5 + 77496*v/5 = 0.
-2, 0, 1, 19374
Let h**2/4 + 284*h + 4480 = 0. What is h?
-1120, -16
Factor -2*j**2 - 114836*j.
-2*j*(j + 57418)
Determine t, given that 2*t**3/13 + 4*t**2 - 1120*t/13 = 0.
-40, 0, 14
Factor -5*p**3 + 2990*p**2 - 382225*p - 385220.
-5*(p - 412)*(p - 187)*(p + 1)
Solve -4*r**4/5 - 19808*r**3/5 + 4*r**2/5 + 19808*r/5 = 0 for r.
-4952, -1, 0, 1
Factor -2*u**4/7 - 22924*u**3/7 - 65711642*u**2/7 - 131354520*u/7 - 65665800/7.
-2*(u + 1)**2*(u + 5730)**2/7
Suppose -13*s**4/2 - 617*s**3 + 3891*s**2/2 - 1420*s + 98 = 0. Calculate s.
-98, 1/13, 1, 2
Solve -o**5/6 + 37*o**4/6 - 205*o**3/3 + 970*o**2/3 - 684*o + 528 = 0 for o.
2, 3, 4, 6, 22
Factor 3*g**4 - 318*g**3 + 6747*g**2 - 40560*g.
3*g*(g - 80)*(g - 13)**2
Determine t so that -4*t**3 + 352*t**2 - 4144*t = 0.
0, 14, 74
Solve 6*x**5/5 - 453*x**4/5 + 1866*x**3/5 + 3603*x**2/5 + 1278*x/5 = 0.
-1, -1/2, 0, 6, 71
Find u such that -8*u**5/3 + 124*u**4/3 - 160*u**3 + 356*u**2/3 + 488*u/3 - 160 = 0.
-1, 1, 3/2, 4, 10
Solve 106*h**5 - 1374*h**4 + 5990*h**3 - 10266*h**2 + 5328*h + 216 = 0 for h.
-2/53, 1, 3, 6
Factor -m**2/4 - 2149*m/2 + 248235/4.
-(m - 57)*(m + 4355)/4
Find j, given that 196*j**5 - 1168*j**4 + 932*j**3 + 40*j**2 = 0.
-2/49, 0, 1, 5
Factor 10*r**3 - 17502*r**2 + 7659750*r - 1531250.
2*(r - 875)**2*(5*r - 1)
Determine d so that d**2/5 + 818428*d/5 + 818427/5 = 0.
-818427, -1
Find r, given that -8*r**4/7 - 17130*r**3/7 - 72690*r**2/7 - 9770*r - 12822/7 = 0.
-2137, -3, -1, -1/4
Factor 339889*o**3/3 + 1245871*o**2 - 4275*o + 11/3.
(o + 11)*(583*o - 1)**2/3
Find r, given that -2*r**3 - 460*r**2 + 5754*r - 13068 = 0.
-242, 3, 9
Factor c**2/4 - 1381*c/4 - 7005.
(c - 1401)*(c + 20)/4
Suppose -5*o**2 - 111010*o - 4764185 = 0. What is o?
-22159, -43
Suppose -5*w**4/4 - 2555*w**3/4 + 15*w**2/4 + 7675*w/4 + 2555/2 = 0. What is w?
-511, -1, 2
Factor 3*h**5 - 2670*h**4 + 793872*h**3 - 79380096*h**2 + 155606016*h.
3*h*(h - 296)**3*(h - 2)
Solve 3*l**2 - 228807*l + 228804 = 0.
1, 76268
Factor p**4/2 + 252*p**3 - 4650*p**2 + 24992*p - 33408.
(p - 8)**2*(p - 2)*(p + 522)/2
What is q in 4*q**5/3 - 370*q**4/3 + 4484*q**3/3 - 17462*q**2/3 + 6344*q - 1896 = 0?
1/2, 1, 6, 79
Find j, given that j**3/5 - 174*j**2/5 + 1357*j = 0.
0, 59, 115
Suppose -2*m**5/5 - 216*m**4/5 + 25306*m**3/5 + 552024*m**2 + 546920*m = 0. Calculate m.
-110, -1, 0, 113
Factor 4*j**3/7 - 44*j**2 + 2528*j/7 - 5440/7.
4*(j - 68)*(j - 5)*(j - 4)/7
Factor -4*a**3 - 38596*a**2 + 695700*a - 3132108.
-4*(a - 9)**2*(a + 9667)
Suppose -25*h**4 + 1514*h**3 - 2243*h**2 - 3494*h + 4248 = 0. What is h?
-36/25, 1, 2, 59
Suppose -g**4/3 + 113*g**3/3 - 2924*g**2/3 + 2812*g/3 = 0. What is g?
0, 1, 38, 74
What is n in 108*n**4 - 347184*n**3 - 810552*n**2 - 424624*n - 64340 = 0?
-5/3, -1/3, 3217
Factor -d**2/2 - 123917*d - 247833/2.
-(d + 1)*(d + 247833)/2
Let 3*o**2/2 - 2909*o/2 - 485 = 0. What is o?
-1/3, 970
Factor 2*j**3 + 518*j**2 + 33540*j.
2*j*(j + 129)*(j + 130)
Factor -2*t**2 - 1275660*t - 203413554450.
-2*(t + 318915)**2
Find v, given that -v**3 + 251*v**2 + 18905*v - 5821347 = 0.
-147, 199
Determine s, given that 4*s**2/3 + 173968*s/3 + 57988 = 0.
-43491, -1
Factor x**3/4 + 2820*x**2 + 11279*x/4.
x*(x + 1)*(x + 11279)/4
Let 5*m**2 - 130870*m + 856347845 = 0. Calculate m.
13087
Factor 2*q**4 - 168*q**3 + 1530*q**2 - 3700*q.
2*q*(q - 74)*(q - 5)**2
Solve 3*g**5 + 250*g**4 + 5443*g**3/3 - 13982*g**2/3 - 8340*g - 3000 = 0.
-75, -10, -2/3, 3
What is d in 3*d**4 + 33*d**3 - 318*d**2 - 2112*d + 8064 = 0?
-14, -8, 3, 8
Factor 2*p**4/5 + 1698*p**3/5 + 678*p**2 + 1694*p/5.
2*p*(p + 1)**2*(p + 847)/5
Factor -2*b**5/9 + 176*b**4/9 - 3308*b**3/9 - 8272*b**2/3 - 4418*b.
-2*b*(b - 47)**2*(b + 3)**2/9
Determine s, given that 3*s**4 - 246*s**3 + 933*s**2 + 246*s - 936 = 0.
-1, 1, 4, 78
Solve -2*o**5 - 56*o**4 - 184*o**3 + 3572*o**2 + 7482*o + 3780 = 0 for o.
-18, -15, -1, 7
What is p in -8*p**5/5 + 26*p**4/5 + 66*p**3 - 4*p**2 - 1552*p/5 + 384/5 = 0?
-4, -3, 1/4, 2, 8
Factor -17*m**4/3 - 35*m**3/3 - 19*m**2/3 - m/3.
-m*(m + 1)**2*(17*m + 1)/3
Suppose i**5/2 + 125*i**4/2 - 2121*i**3 - 334082*i**2 + 336140*i = 0. Calculate i.
-98, 0, 1, 70
Factor -2*j**3/3 + 176*j**2/3 + 1142*j/3 - 1316/3.
-2*(j - 94)*(j - 1)*(j + 7)/3
What is v in -75*v**5 - 10365*v**4 + 73023*v**3 - 134631*v**2 - 30024*v + 187920 = 0?
-145, -1, 12/5, 3
Determine o, given that -2*o**4 + 1164*o**3/7 + 4650*o**2/7 + 4184*o/7 - 696/7 = 0.
-2, 1/7, 87
Determine r, given that r**4/2 + 57*r**3/2 - 1907*r**2/2 + 11895*r/2 + 6929 = 0.
-82, -1, 13
Let 3*l**5 - 267*l**4 - 2574*l**3 - 7008*l**2 - 4704*l = 0. Calculate l.
-4, -1, 0, 98
Determine l, given that -l**3/4 + 2527*l**2/4 + 26312*l + 25680 = 0.
-40, -1, 2568
Factor 4*o**2/7 - 2472*o/7 - 2476/7.
4*(o - 619)*(o + 1)/7
Suppose 4*k**2/5 - 61036*k/5 + 61032/5 = 0. What is k?
1, 15258
Solve 8*w**4/11 - 1010*w**3/11 + 22012*w**2/11 - 101440*w/11 + 24000/11 = 0 for w.
1/4, 6, 20, 100
Factor -40*x**3 + 53696*x**2 + 161142*x/5 + 24174/5.
-2*(x - 1343)*(10*x + 3)**2/5
Solve -13*b**3/3 - 3794*b**2 - 51359*b/3 + 8710 = 0.
-871, -5, 6/13
Solve -t**4/3 + 740*t**3/3 - 145492*t**2/3 + 1059680*t - 6151872 = 0.
12, 358
Suppose 105*v**2 + 12910*v - 615 = 0. Calculate v.
-123, 1/21
Determine k, given that 2*k**5/3 - 88754*k**4/9 - 59180*k**3/9 + 118340*k**2/9 + 59174*k/9 - 9862/3 = 0.
-1, 1/3, 1, 14793
Determine g so that 12*g**3 - 284236*g**2 + 1683174532*g - 561026596 = 0.
1/3, 11843
Suppose -2*m**5/15 - 58936*m**4/15 + 176834*m**3/15 + 235768*m**2/15 = 0. Calculate m.
-29471, -1, 0, 4
Factor -2*r**3/7 + 550*r**2 - 1847024*r/7 - 5575776/7.
-2*(r - 964)**2*(r + 3)/7
Factor -m**3/2 + 113*m**2/2 - 431*m/2 - 545/2.
-(m - 109)*(m - 5)*(m + 1)/2
What is l in 2*l**2/5 - 388*l - 5838/5 = 0?
-3, 973
Factor -j**5/4 - 2046*j**4 - 16785309*j**3/4 - 83517845*j**2/2.
-j**2*(j + 10)*(j + 4087)**2/4
Suppose -1356*b**4 + 4076*b**3 + 13536*b**2 - 32624*b + 192 = 0. Calculate b.
-3, 2/339, 2, 4
Determine d, given that -4*d**4 - 2368*d**3 - 86420*d**2 - 84056*d = 0.
-553, -38, -1, 0
Determine p so that -4*p**5 - 692*p**4 - 33664*p**3 - 440288*p**2 + 2187584*p - 2333504 = 0.
-101, -38, 2
Solve -2*n**5 + 590*n**4 + 6*n**3 - 1766*n**2 - 1180*n = 0.
-1, 0, 2, 295
Factor 2*u**3/9 + 20*u**2 + 850*u/9.
2*u*(u + 5)*(u + 85)/9
Factor -4*d**2 + 1863456*d - 217029266496.
-4*(d - 232932)**2
Solve -2*d**5/7 - 330*d**4/7 + 1038*d**3/7 + 5074*d**2/7 + 5724*d/7 + 288 = 0.
-168, -1, 6
Factor 4*k**4 - 340*k**3 + 7864*k**2 - 27504*k + 26208.
4*(k - 42)*(k - 39)*(k - 2)**2
Suppose -m**3/5 - 393*m**2/5 + 560*m = 0. What is m?
-400, 0, 7
Let 670*t**4 + 672*t**3 - 3348*t**2 + 2000*t + 6 = 0. Calculate t.
-3, -1/335, 1
Solve -111*c**5/8 - 435*c**4/8 + 1035*c**3/8 + 1695*c**2/8 - 591*c/2 + 45/2 = 0.
-5, -2, 3/37, 1, 2
Suppose 5*g**2 + 254950*g + 509880 = 0. What is g?
-50988, -2
Factor -i**2/8 - 2321*i + 18569/8.
-(i - 1)*(i + 18569)/8
Suppose -4*g**4/3 - 5564*g**3/9 - 52976*g**2/9 - 141808*g/9 - 72640/9 = 0. Calculate g.
-454, -5, -4, -2/3
Find j, given that -j**5 + 283*j**4 - 1945*j**3 + 3585*j**2 + 846*j - 4968 = 0.
-1, 2, 3, 276
Solve 18020025*q**5 - 54068565*q**4 - 17994554*q**3 + 54068562*q**2 - 25471*q + 3 = 0 for q.
-1, 1/4245, 1, 3
Determine l, given that 4*l**2 - 7832*l + 139680 = 0.
18, 1940
Solve s**4/9 + 16*s**3/9 + 55*s**2/9 - 8*s = 0 for s.
-9, -8, 0, 1
Let -d**5 + 68*d**4 + 2483*d**3 - 14466*d**2 - 21564*d + 33480 = 0. Calculate d.
-30, -2, 1, 6, 93
Suppose 23*f**3/4 - 297*f**2/2 - 1052*f - 1464 = 0. Calculate f.
-4, -2, 732/23
Let 2*w**4/11 + 14*w**3 - 120*w**2 + 3368*w/11 - 2720/11 = 0. Calculate w.
-85, 2, 4
Factor -4*r**3 - 474368*r**2 - 474364*r.
-4*r*(r + 1)*(r + 118591)
Let 2*q**4 - 1790*q**3 - 1794*q**2 + 1790*q + 1792 = 0. Calculate q.
-1, 1, 896
Factor 4*o**2 + 3560*o - 413504.
4*(o - 104)*(o + 994)
Factor -q**3/3 + 127*q**2 - 4364*q/3 - 7872.
-(