7, 32
Factor 3*v**2 + 11580*v + 127017.
3*(v + 11)*(v + 3849)
What is g in 34969*g**4 - 75922*g**3 + 47193*g**2 - 6496*g + 256 = 0?
16/187, 1
Find d such that -28*d**5 + 160904*d**4 + 69048*d**3 - 482768*d**2 + 114916*d + 137928 = 0.
-2, -3/7, 1, 5747
Factor 2*u**2/19 - 1144*u/19 + 81174/19.
2*(u - 489)*(u - 83)/19
Find s, given that -4*s**4 + 288*s**3 + 6924*s**2 - 40328*s + 33120 = 0.
-23, 1, 4, 90
What is s in -2*s**5/3 - 35204*s**4/3 - 154809506*s**3/3 + 930653248*s**2/3 + 2325594208*s/3 + 1240166656/3 = 0?
-8804, -1, 8
Factor -2*n**3 - 94*n**2 - 812*n - 720.
-2*(n + 1)*(n + 10)*(n + 36)
Suppose 20*w**5 + 25208*w**4 + 85508*w**3 + 40176*w**2 - 60336*w = 0. What is w?
-1257, -2, 0, 3/5
Let -80*j**4/7 - 801*j**3/7 + 335*j**2 + 2517*j/7 - 549/7 = 0. Calculate j.
-61/5, -1, 3/16, 3
Factor -i**3/3 - 12671*i**2/3 + 177541*i/3 - 621565/3.
-(i - 7)**2*(i + 12685)/3
Determine o, given that -o**4/6 + 617*o**3 - 3422497*o**2/6 - 1142684*o - 1714952/3 = 0.
-1, 1852
Suppose -4*k**5/3 + 3336*k**4 - 6668*k**3 + 10000*k**2/3 = 0. Calculate k.
0, 1, 2500
Find t such that -3*t**3/2 + 243135*t**2/2 + 486288*t + 486294 = 0.
-2, 81049
Factor t**3 - 14953*t**2 - 89745*t - 134631.
(t - 14959)*(t + 3)**2
Determine d, given that -4*d**3 + 29136*d**2 + 4*d - 29136 = 0.
-1, 1, 7284
Factor -m**3/3 - 49*m**2/3 - 436*m/3 - 228.
-(m + 2)*(m + 9)*(m + 38)/3
Factor -3*f**3/5 + 54*f**2/5 + 9792*f - 545280.
-3*(f - 80)**2*(f + 142)/5
Determine i, given that i**5 - 347*i**4 - 4340*i**3 + 11440*i**2 + 17344*i - 40208 = 0.
-14, -2, 2, 359
Factor d**2/2 - 485929*d/2 - 242965.
(d - 485930)*(d + 1)/2
Factor k**3/2 - 125*k**2/2 - 8701*k/2 - 8575/2.
(k - 175)*(k + 1)*(k + 49)/2
Factor -2*h**2 + 58*h + 124.
-2*(h - 31)*(h + 2)
Factor 3*u**4/2 - 39255*u**3/2.
3*u**3*(u - 13085)/2
Factor -4*d**3/5 + 88*d**2/5 + 564*d/5 - 648/5.
-4*(d - 27)*(d - 1)*(d + 6)/5
Let 2*r**4 - 476*r**3 - 17280*r**2 = 0. Calculate r.
-32, 0, 270
What is y in -8*y**5/9 - 2*y**4 + 188*y**3/9 + 16*y**2/3 = 0?
-6, -1/4, 0, 4
Suppose -4*x**3 + 1356*x**2 + 39240*x + 105408 = 0. What is x?
-24, -3, 366
Factor -2*q**3 + 1438*q**2 - 4288*q - 5728.
-2*(q - 716)*(q - 4)*(q + 1)
Determine g so that -g**3 + 16830*g**2 - 33657*g + 16828 = 0.
1, 16828
Suppose -4*b**3 - 3092*b**2 + 15536*b - 18672 = 0. What is b?
-778, 2, 3
Factor 3*o**3 + 4089*o**2 + 76548*o - 80640.
3*(o - 1)*(o + 20)*(o + 1344)
Factor 2*n**2 - 19176*n + 38344.
2*(n - 9586)*(n - 2)
Factor 8*f**4/7 - 166*f**3/7 - 6*f**2.
2*f**2*(f - 21)*(4*f + 1)/7
Solve -2*q**3/9 + 124*q**2/9 - 1630*q/9 - 3772/9 = 0 for q.
-2, 23, 41
Determine r so that 2*r**5/11 + 5*r**4/11 - 21*r**3/11 - 47*r**2/11 + 19*r/11 + 42/11 = 0.
-7/2, -2, -1, 1, 3
Suppose 4*i**2/3 + 25000*i/3 + 39062500/3 = 0. Calculate i.
-3125
Factor -2*s**2 + 324*s + 4928.
-2*(s - 176)*(s + 14)
Suppose d**4/8 - 4848*d**3 + 77565*d**2/8 - 19391*d/4 = 0. Calculate d.
0, 1, 38782
Factor -4*i**3/5 + 64186*i**2/5 - 257506208*i/5 + 128737058/5.
-2*(i - 8023)**2*(2*i - 1)/5
Let 6*p**3 + 26*p**2/3 - 2*p/3 - 10/3 = 0. Calculate p.
-1, 5/9
What is g in 2*g**2 + 64*g + 462 = 0?
-21, -11
Factor g**3/4 - 2*g**2 - 9*g/4 + 18.
(g - 8)*(g - 3)*(g + 3)/4
Factor g**4 + 26*g**3 + 125*g**2 - 332*g + 180.
(g - 1)**2*(g + 10)*(g + 18)
Factor 2*v**3/11 - 122*v**2/11 + 1766*v/11 + 1890/11.
2*(v - 35)*(v - 27)*(v + 1)/11
Determine l so that -3*l**5/2 + 13881*l**4/8 - 120513*l**3/8 - 7749*l**2/2 = 0.
-1/4, 0, 9, 1148
Determine k, given that -19*k**2 + 36600*k - 11556 = 0.
6/19, 1926
Factor 225625*m**4/2 - 2479975*m**3/2 - 10448*m**2 - 22*m.
m*(m - 11)*(475*m + 2)**2/2
Factor -15*a**4/4 + 21*a**3 + 9*a**2.
-3*a**2*(a - 6)*(5*a + 2)/4
Factor 484*c**4 + 491436*c**3 + 178656*c**2 + 16240*c.
4*c*(c + 1015)*(11*c + 2)**2
Factor 10*v**3/3 - 43285*v**2 + 140508520*v + 210795245/3.
5*(v - 6493)**2*(2*v + 1)/3
Let 50*f**5/3 - 605*f**4/3 - 3630*f**3 - 6005*f**2/3 + 132710*f/3 - 4400 = 0. Calculate f.
-8, -5, 1/10, 3, 22
Solve -12*k**4 - 11978*k**3 + 21992*k**2 - 8002*k - 2000 = 0.
-1000, -1/6, 1
Factor 5*t**2 + 4083*t/4 + 153.
(t + 204)*(20*t + 3)/4
Determine n, given that n**5 + 55*n**4 - 2838*n**3 - 15076*n**2 - 24568*n - 12384 = 0.
-86, -2, -1, 36
Suppose 3*s**2/7 - 186*s = 0. Calculate s.
0, 434
Determine x, given that 2962178*x**2 + 9736*x/3 + 8/9 = 0.
-2/3651
Solve -2*s**3 + 390*s**2 - 2268*s = 0.
0, 6, 189
Let -2*l**4/5 - 366*l**3/5 - 4464*l**2/5 - 1496*l = 0. What is l?
-170, -11, -2, 0
Solve -3*h**5 + 48*h**4 + 99*h**3 - 804*h**2 - 348*h + 2448 = 0.
-4, -2, 2, 3, 17
Factor -2*v**3/5 + 7068*v**2/5 + 14142*v/5 + 7072/5.
-2*(v - 3536)*(v + 1)**2/5
Let -l**3/4 - 1197*l**2/4 + l/4 + 1197/4 = 0. Calculate l.
-1197, -1, 1
Let -p**2 - 1308094*p - 427777478209 = 0. Calculate p.
-654047
Factor 6*d**4 + 1876*d**3 + 5592*d**2 + 5580*d + 1858.
2*(d + 1)**3*(3*d + 929)
Find s, given that 5*s**2 - 804455*s - 1608930 = 0.
-2, 160893
Solve -i**4/7 + 95*i**3/7 + 824*i**2/7 = 0.
-8, 0, 103
Let -1176578*x**4/11 + 1179646*x**3/11 + 2350086*x**2/11 - 6134*x/11 + 4/11 = 0. Calculate x.
-1, 1/767, 2
Suppose -9*h**4 - 560*h**3 - 988*h**2 + 12768*h + 2880 = 0. Calculate h.
-60, -6, -2/9, 4
Factor 3*h**4/4 + 593*h**3/4 + 29205*h**2/4 - 9801*h/4.
h*(h + 99)**2*(3*h - 1)/4
Solve x**4/3 + 273*x**3 + 5104*x**2 + 89792*x/3 + 51200 = 0.
-800, -8, -3
Factor 2*d**4 + 650*d**3 - 1308*d**2.
2*d**2*(d - 2)*(d + 327)
Factor -p**2/3 + 472*p - 166941.
-(p - 729)*(p - 687)/3
Factor -2*x**3/7 - 100*x**2/7 - 774*x/7 - 1476/7.
-2*(x + 3)*(x + 6)*(x + 41)/7
Find t, given that -5*t**2 - 886070*t - 39256002245 = 0.
-88607
Let 5*o**3 + 660*o**2 - 9425*o = 0. What is o?
-145, 0, 13
Find i, given that 5*i**4 + 7320*i**3 + 2664395*i**2 - 10811820*i - 13468900 = 0.
-734, -1, 5
Factor 4*w**3/3 - 120*w**2 - 18448*w/3 + 12768.
4*(w - 126)*(w - 2)*(w + 38)/3
Factor -99*z**2/8 - 6833*z/8 - 69/4.
-(z + 69)*(99*z + 2)/8
Suppose -5*h**2/2 - 166*h + 201/2 = 0. Calculate h.
-67, 3/5
Factor 127*h**4/9 + 892*h**3/3 + 21*h**2.
h**2*(h + 21)*(127*h + 9)/9
Factor -3*x**2 - 7186182*x - 4303434311427.
-3*(x + 1197697)**2
Factor a**2 - 142*a + 2125.
(a - 125)*(a - 17)
Let 5*j**4 - 655*j**3 + 12285*j**2 - 32345*j + 20710 = 0. What is j?
1, 2, 19, 109
What is w in -w**4 + 292*w**3 + 3298*w**2 + 10580*w + 7575 = 0?
-5, -1, 303
Let 332667*m**4 - 14641344*m**3 + 14480517*m**2 - 172356*m + 516 = 0. What is m?
2/333, 1, 43
Factor -3*x**4/2 - 354*x**3 + 714*x**2.
-3*x**2*(x - 2)*(x + 238)/2
Suppose -12*j**5 + 1304*j**4 - 3388*j**3 - 480*j**2 + 5968*j - 3392 = 0. What is j?
-4/3, 1, 2, 106
Factor 3*n**3/4 - 11475*n**2/4 + 5733*n/2 + 5736.
3*(n - 3824)*(n - 2)*(n + 1)/4
Suppose -4*w**3/5 + 244*w**2/5 + 47808*w/5 = 0. What is w?
-83, 0, 144
Let -15*i**3/2 - 2613*i**2/4 - 13926*i + 13068 = 0. What is i?
-44, 9/10
Determine v so that -3*v**4 - 489*v**3 - 25728*v**2 - 430080*v = 0.
-64, -35, 0
Factor -2*h**2 + 219352*h - 6014412488.
-2*(h - 54838)**2
Factor -l**2/3 - 326*l.
-l*(l + 978)/3
Factor 4*k**2 + 3428*k + 89640.
4*(k + 27)*(k + 830)
What is g in -2*g**2 - 8886*g - 299812 = 0?
-4409, -34
Let -p**2 - 3819*p = 0. Calculate p.
-3819, 0
Find a, given that 2523*a**2 - 32712*a + 106032 = 0.
188/29
Suppose -5*w**2 + 1600*w - 109395 = 0. Calculate w.
99, 221
Determine t, given that 2*t**3 + 206*t**2 - 24432*t + 48024 = 0.
-174, 2, 69
Suppose 3*a**2 + 108*a - 756 = 0. What is a?
-42, 6
What is x in 2*x**3 + 2932*x**2 + 1274008*x + 173017328 = 0?
-814, -326
What is b in -24964*b**4 + 3693408*b**3 + 187056*b**2 + 2368*b = 0?
-2/79, 0, 148
Factor r**4/7 - 2874*r**3/7 + 2079289*r**2/7 - 20577840*r/7 + 51265600/7.
(r - 1432)**2*(r - 5)**2/7
Determine p, given that 2*p**3/3 - 24*p**2 - 34886*p + 104728/3 = 0.
-212, 1, 247
Factor 4*i**4 + 804*i**3 - 92040*i**2 - 29541200*i - 1660932000.
4*(i - 189)*(i + 130)**3
Factor 3*y**2/8 - 18729*y/2 + 116925147/2.
3*(y - 12486)**2/8
Suppose 2*m**4 + 26638*m**3 + 213018*m**2 + 559098*m + 479196 = 0. What is m?
-13311, -3, -2
Factor -u**3/4 + 6685*u**2/4 - 11235543*u/4 + 211068891/4.
-(u - 3333)**2*(u - 19)/4
Solve d**4 + 1463*d**3 + 773028*d**2 + 171276496*d + 12846687680 = 0 for d.
-436, -155
Factor 2*d**4/9 - 44*d**3/3 + 598*d**2/9 + 244*d/3.
2*d*(d - 61)*(d - 6)*(d + 1)/9
Factor c**3/3 + 31*c**2/3 - 400*c/3 - 12400/3.
(c - 20)*(c + 20)*(c + 31)/3
Suppose -w**2/2 - 159*w/2 + 1211 = 0