 1939)**2/4
Suppose -21*x**3 + 228*x**2 - 384*x - 768 = 0. Calculate x.
-8/7, 4, 8
Factor 13*c**3/3 + 250*c**2/3 - 2176*c/3 - 5248/3.
(c - 8)*(c + 2)*(13*c + 328)/3
Suppose -2376*a**3/7 + 993*a**2 + 529*a/7 + 6/7 = 0. Calculate a.
-2/33, -1/72, 3
Factor 3*v**3 + 240567*v**2 + 4822586505*v - 4822827075.
3*(v - 1)*(v + 40095)**2
Find z, given that -2*z**3/11 - 380*z**2/11 - 1838*z/11 + 2220/11 = 0.
-185, -6, 1
Factor -2*a**3/11 - 120*a**2/11 - 2394*a/11 - 1444.
-2*(a + 19)**2*(a + 22)/11
Solve j**5 + 1391*j**4 + 4164*j**3 = 0.
-1388, -3, 0
Factor -c**4/6 - 871*c**3 + 5227*c**2/6.
-c**2*(c - 1)*(c + 5227)/6
Suppose 3*x**4 + 33*x**3 - 1236*x**2 - 13200*x + 14400 = 0. What is x?
-20, -12, 1, 20
Determine r, given that -2*r**2 + 342*r/5 - 2132/5 = 0.
41/5, 26
Factor f**4/4 + 733*f**3/4 - 735*f**2/4 - 733*f/4 + 367/2.
(f - 1)**2*(f + 1)*(f + 734)/4
Find g, given that 3*g**5 - 10233*g**4 + 11634918*g**3 - 4409624826*g**2 - 11634921*g + 4409635059 = 0.
-1, 1, 1137
Factor -d**4 + 342*d**3 - 4008*d**2 - 8645590*d + 740536617.
-(d - 167)**3*(d + 159)
Determine g so that -125*g**3 - 72425*g**2 - 7347655*g + 970958765 = 0.
-1631/5, 73
What is k in -46875*k**3/7 + 10919625*k**2/7 + 74889*k + 6291/7 = 0?
-3/125, 233
Let 3*q**4 - 126*q**3 - 30636*q**2 - 850632*q = 0. Calculate q.
-46, 0, 134
Solve n**2/4 - 6161*n/4 - 3081/2 = 0.
-1, 6162
Factor 2*q**3 - 31860*q**2 - 127464*q - 127472.
2*(q - 15934)*(q + 2)**2
Find f, given that f**3 + 119*f**2 + 2155*f + 2037 = 0.
-97, -21, -1
Determine n, given that -n**3 + 21856*n**2 + 481195*n + 2647238 = 0.
-11, 21878
Let -9*y**2/11 - 5539*y/11 + 53750/11 = 0. What is y?
-625, 86/9
Determine t, given that 3*t**3 - 213*t**2 + 2157*t - 1947 = 0.
1, 11, 59
Let -16*b**2/15 + 46*b/3 + 238/5 = 0. Calculate b.
-21/8, 17
Suppose p**2/4 - 50351*p/4 - 50353/2 = 0. Calculate p.
-2, 50353
Factor 3*o**2 - 958452*o + 76552519692.
3*(o - 159742)**2
Find r, given that -15*r**2 - 4471*r - 298 = 0.
-298, -1/15
Suppose -m**2/4 - 357*m/2 - 15893/4 = 0. Calculate m.
-691, -23
Factor -3*t**2/2 + 1431*t/2 - 84963.
-3*(t - 254)*(t - 223)/2
Let -82*a**5/3 - 1606*a**4 + 1180*a**3/3 = 0. Calculate a.
-59, 0, 10/41
Factor w**4 + 65*w**3 + 246*w**2 - 36320*w - 246400.
(w - 22)*(w + 7)*(w + 40)**2
Solve 5*s**3 + 20*s**2 - 225*s = 0 for s.
-9, 0, 5
Solve 15*r**4 + 396*r**3 + 2142*r**2 - 4236*r + 1683 = 0.
-17, -11, 3/5, 1
Let -4*f**2/3 + 6502*f/3 + 4340 = 0. Calculate f.
-2, 3255/2
Factor -2*n**2/15 - 8228*n/15 - 4926.
-2*(n + 9)*(n + 4105)/15
Let 3*v**5 + 93*v**4 + 675*v**3 + 915*v**2 - 678*v - 1008 = 0. Calculate v.
-21, -8, -2, -1, 1
Factor -2*s**2 + 1388*s + 22720.
-2*(s - 710)*(s + 16)
Suppose s**5/6 - 5*s**4/6 - 7*s**3/6 + 53*s**2/6 - 3*s - 12 = 0. Calculate s.
-3, -1, 2, 3, 4
What is m in -7*m**5/3 - 523*m**4/6 - 820*m**3/3 - 1435*m**2/6 - 118*m/3 + 34/3 = 0?
-34, -2, -1, -1/2, 1/7
Factor -l**3/4 + 3451*l**2/4 - 3118599*l/4 + 240761565/4.
-(l - 1683)**2*(l - 85)/4
Let -5*i**3/2 + 6555*i**2/2 + 13125*i/2 + 6565/2 = 0. What is i?
-1, 1313
Factor -2*o**4/23 - 33770*o**3/23 + 67546*o**2/23 - 33774*o/23.
-2*o*(o - 1)**2*(o + 16887)/23
Factor -5*r**3 + 1370*r**2 - 20555*r - 21930.
-5*(r - 258)*(r - 17)*(r + 1)
Factor 2*m**5 + 18086*m**4 - 144784*m**3 + 289632*m**2.
2*m**2*(m - 4)**2*(m + 9051)
Let 4*y**2 - 152604*y - 915768 = 0. Calculate y.
-6, 38157
Factor 2*j**3/3 + 116*j**2/3 - 238*j/3 + 40.
2*(j - 1)**2*(j + 60)/3
Factor 4*s**2/5 + 85104*s/5 + 452668176/5.
4*(s + 10638)**2/5
Suppose -d**2/3 - 226484*d/3 = 0. Calculate d.
-226484, 0
Factor -2*r**2 + 200*r.
-2*r*(r - 100)
Factor v**3 + 2108*v**2 - 42581*v - 44688.
(v - 21)*(v + 1)*(v + 2128)
Factor 3*n**2 + 966*n - 50784.
3*(n - 46)*(n + 368)
Factor 5*l**2 - 52500*l + 137812500.
5*(l - 5250)**2
Suppose -2*b**2/5 + 19276*b - 232227610 = 0. What is b?
24095
Find o, given that -2*o**4 - 8*o**3 + 22*o**2 + 132*o + 144 = 0.
-3, -2, 4
Factor l**3/5 - 2089*l**2/5 - 4193*l - 10495.
(l - 2099)*(l + 5)**2/5
Factor l**3 + 23001*l**2 + 68996*l + 45996.
(l + 1)*(l + 2)*(l + 22998)
Let -b**4/5 - 378*b**3/5 - 18179*b**2/5 + 37878*b/5 = 0. What is b?
-321, -59, 0, 2
Factor m**4/9 - 158*m**3/9 + 789*m**2 - 66868*m/9 + 106580/9.
(m - 73)**2*(m - 10)*(m - 2)/9
What is b in b**2 - 321546*b + 25847957529 = 0?
160773
Suppose 3*c**5/5 - 1608*c**4/5 + 45561*c**3 - 653640*c**2 + 608400*c = 0. What is c?
0, 1, 15, 260
Let k**4 + 5052*k**3 - 76077*k**2 - 364900*k - 385092 = 0. What is k?
-5067, -2, 19
Let w**2 + 3091*w + 3090 = 0. What is w?
-3090, -1
What is g in -10*g**3 + 1065*g**2 + 109975*g + 54720 = 0?
-64, -1/2, 171
Solve 46*r**2 - 3800*r - 3846 = 0.
-1, 1923/23
Determine n, given that 4*n**5 + 28*n**4 - 3712*n**3 + 7280*n**2 = 0.
-35, 0, 2, 26
What is b in -b**2/2 + 203869*b - 41562569161/2 = 0?
203869
Factor u**4 - 10105*u**3 + 362916*u**2 - 4351536*u + 17399232.
(u - 10069)*(u - 12)**3
What is t in -6*t**4/11 + 846*t**3/11 + 2592*t**2/11 = 0?
-3, 0, 144
Factor w**3 - 112*w**2 + 2460*w.
w*(w - 82)*(w - 30)
Factor -3*i**2 + 9975*i + 9978.
-3*(i - 3326)*(i + 1)
Find p, given that -2*p**3/5 + 214*p**2 + 15292*p/5 + 8784 = 0.
-10, -4, 549
Factor 3*s**4 - 10482*s**3 + 9124527*s**2 + 55030500*s + 82687500.
3*(s - 1750)**2*(s + 3)**2
Factor -h**3/3 + 128*h**2/3 - 737*h/3 + 610/3.
-(h - 122)*(h - 5)*(h - 1)/3
Solve -2*w**3/7 + 7460*w**2/7 - 6971346*w/7 + 27766152/7 = 0 for w.
4, 1863
Let -2*q**2 + 654408*q + 654410 = 0. Calculate q.
-1, 327205
What is z in -3*z**2 + 428241*z = 0?
0, 142747
Solve -k**3/5 + 718*k**2/5 + 17067*k/5 - 17784/5 = 0 for k.
-24, 1, 741
What is p in -p**4/3 + 109*p**3 - 24412*p**2/3 - 132940*p + 1965200/3 = 0?
-17, 4, 170
Factor o**4/9 + 4289*o**3/9 + 8566*o**2/9 - 11432*o/3.
o*(o - 2)*(o + 4)*(o + 4287)/9
Let -3*b**5 - 40614*b**4 - 183304512*b**3 - 275934283776*b**2 - 551135674368*b = 0. Calculate b.
-4512, -2, 0
Suppose -t**4 - 1142*t**3/5 + 154839*t**2/5 - 4229532*t/5 - 343332 = 0. What is t?
-330, -2/5, 51
Suppose r**2/7 - 1168*r/7 + 1161 = 0. What is r?
7, 1161
Factor -a**2 + 620066*a - 96120461089.
-(a - 310033)**2
Solve -w**2 + 20421*w - 40838 = 0 for w.
2, 20419
Suppose d**3 + 152*d**2 + 297*d - 450 = 0. Calculate d.
-150, -3, 1
Factor 2*m**3 - 688*m**2 + 70824*m - 2287584.
2*(m - 188)*(m - 78)**2
Suppose 3*c**3/7 - 3669*c**2/7 + 47226*c/7 - 43560/7 = 0. Calculate c.
1, 12, 1210
Solve 2*a**4/19 + 13752*a**3/19 + 23680908*a**2/19 + 141714360*a/19 + 212386050/19 = 0.
-3435, -3
Solve -21*u**5 - 873*u**4 + 1353*u**3 + 2577*u**2 - 5616*u + 2580 = 0.
-43, -2, 1, 10/7
Factor -4*y**3 - 992*y**2 - 1968*y.
-4*y*(y + 2)*(y + 246)
Determine i, given that 2*i**2 - 25976*i = 0.
0, 12988
Let -y**2/4 - 151*y - 600 = 0. What is y?
-600, -4
Factor 3*i**2 + 240*i - 747.
3*(i - 3)*(i + 83)
What is z in -3*z**4/5 + 21*z**3 - 477*z**2/5 - 7749*z/5 - 15876/5 = 0?
-4, -3, 21
Find v such that 2*v**3 + 210*v**2 + 184*v - 2496 = 0.
-104, -4, 3
Factor 15*m**3/2 - 84065*m**2/3 + 52297735*m/2 + 46575480.
5*(m - 1869)**2*(9*m + 16)/6
Find g such that 4*g**5/9 - 22*g**4/9 - 28*g**3/9 + 88*g**2/9 + 16*g/3 = 0.
-2, -1/2, 0, 2, 6
Factor 5*t**2 - 11175*t - 11180.
5*(t - 2236)*(t + 1)
Factor 4*d**3 + 52748*d**2 + 173447744*d - 2963875472.
4*(d - 17)*(d + 6602)**2
Factor -3*q**3/4 - 213*q**2/4 - 123*q + 2040.
-3*(q - 5)*(q + 8)*(q + 68)/4
Suppose 5*p**5 + 10*p**4 - 80*p**3 - 190*p**2 + 75*p + 180 = 0. What is p?
-3, -1, 1, 4
Factor b**2/8 + 23071*b/8.
b*(b + 23071)/8
Factor -l**2 + 97136*l - 2358850624.
-(l - 48568)**2
Factor -107163*a**2 + 14742*a - 507.
-3*(189*a - 13)**2
Let 4*a**4 + 236*a**3 + 2960*a**2 - 3200*a = 0. Calculate a.
-40, -20, 0, 1
Find i such that -52*i**2/7 + 6404*i/7 - 186120/7 = 0.
47, 990/13
Factor -3*u**2 - 1107*u + 2226.
-3*(u - 2)*(u + 371)
Solve -20*p**5/7 - 2892*p**4/7 + 13640*p**3/7 + 79088*p**2/7 + 61728*p/7 - 38144/7 = 0 for p.
-149, -2, 2/5, 8
Determine d, given that -7*d**3/5 - 94*d**2 - 5527*d/5 - 156 = 0.
-52, -15, -1/7
Factor 14*o**2/17 - 231634*o/17 - 165460/17.
2*(o - 16546)*(7*o + 5)/17
Let 121*j**4 + 2519*j**3/3 + 2018*j**2 + 1980*j + 648 = 0. What is j?
-3, -18/11, -2/3
Suppose -6*c**3/11 + 14024*c**2/11 + 65586*c/11 - 23420/11 = 0. What is c?
-5, 1/3, 2342
Let 5*j**4 - 13700*j**3 + 9370790*j**2 + 18782700*j + 9398205 = 0. Calculate j.
-1, 1371
Solve -13*y**2/2 - 274*y - 42 = 0 for y.
-