72*c**3/5 - 1997568*c**2/5.
-3*c**2*(c - 816)**2*(c + 1)/5
Suppose -a**4/4 + 23*a**3/2 - 163*a**2 + 969*a/2 + 13005/4 = 0. Calculate a.
-3, 15, 17
Solve 2*p**5/15 - 1046*p**4/15 + 113156*p**3/15 + 6684068*p**2/15 - 14962126*p/3 + 38690890/3 = 0 for p.
-49, 5, 281
Let -4*o**5 - 48*o**4 + 212*o**3 + 1392*o**2 - 208*o - 1344 = 0. What is o?
-14, -4, -1, 1, 6
Suppose 132*d**2/5 + 666*d/5 + 6 = 0. What is d?
-5, -1/22
Let -d**4/9 - 89*d**3/3 - 2617*d**2 - 678857*d/9 + 234226/3 = 0. Calculate d.
-102, -83, 1
Solve -5*h**5 + 1175*h**4 - 14355*h**3 - 16715*h**2 + 14360*h + 15540 = 0 for h.
-1, 1, 14, 222
Factor -p**2/3 + 56450*p/3.
-p*(p - 56450)/3
Factor 59*t**4 - 2235*t**3 - 2567*t**2 - 273*t.
t*(t - 39)*(t + 1)*(59*t + 7)
Factor j**3 - 47*j**2/2 + 291*j/2 - 270.
(j - 15)*(j - 4)*(2*j - 9)/2
Factor h**4 - 385*h**3 + 2997*h**2 + 7153*h + 3770.
(h - 377)*(h - 10)*(h + 1)**2
Solve -2*j**2 + 386956*j - 386954 = 0 for j.
1, 193477
Suppose 4*x**4 + 452*x**3 + 8544*x**2 = 0. What is x?
-89, -24, 0
Factor -5*k**2 - 7975*k - 3077070.
-5*(k + 654)*(k + 941)
Factor -2*r**2/9 + 202852*r/9 - 5143616738/9.
-2*(r - 50713)**2/9
Suppose -y**3/4 + 41629*y**2/2 + 166528*y + 333064 = 0. What is y?
-4, 83266
Solve 3*j**5/5 + 4299*j**4 + 38513664*j**3/5 + 38492172*j**2/5 = 0 for j.
-3582, -1, 0
Let -3*m**2 - 117*m + 2028 = 0. What is m?
-52, 13
Suppose i**4/3 - 208*i**3/3 + 5972*i**2/3 - 9488*i/3 - 14848 = 0. What is i?
-2, 4, 32, 174
Determine k so that -4*k**5/3 - 368*k**4/3 - 2784*k**3 + 10112*k**2/3 + 219328*k/3 - 135424 = 0.
-46, -6, 2, 4
Let o**3 + 296*o**2 + 5795*o + 5500 = 0. Calculate o.
-275, -20, -1
Factor g**2/6 + 104931*g + 33031544283/2.
(g + 314793)**2/6
Let -3*y**4/5 + 63*y**3/5 + 12*y**2/5 - 1332*y/5 - 432 = 0. Calculate y.
-3, -2, 6, 20
What is b in 5*b**2 + 205735*b = 0?
-41147, 0
Let -k**4/5 - 1390*k**3 + 20856*k**2/5 - 20858*k/5 + 6953/5 = 0. Calculate k.
-6953, 1
Suppose -4*z**2 - 433844*z - 11763788521 = 0. Calculate z.
-108461/2
Determine s, given that 5*s**4 - 35*s**3 - 130*s**2 + 360*s = 0.
-4, 0, 2, 9
Factor 24210771*w**3 + 12887745*w**2 + 37257*w + 27.
3*(17*w + 9)*(689*w + 1)**2
Factor -w**3/6 + 42*w**2 - 322*w - 2440/3.
-(w - 244)*(w - 10)*(w + 2)/6
Suppose d**2/7 + 270*d/7 + 17069/7 = 0. Calculate d.
-169, -101
Suppose 3*v**2/5 - 451233*v/5 - 451236/5 = 0. What is v?
-1, 150412
Suppose -44*j**5 + 1592*j**4 + 397296*j**3 - 7485408*j**2 - 962357760*j + 175219200 = 0. Calculate j.
-60, 2/11, 78
Factor 2*s**3/7 - 27386*s**2 + 191700*s/7.
2*s*(s - 95850)*(s - 1)/7
Let 33*g**5/8 + 3*g**4/4 - 231*g**3/8 - 30*g**2 - 9*g/2 = 0. What is g?
-2, -1, -2/11, 0, 3
Factor -2*j**2/13 + 382892*j/13 - 18325785458/13.
-2*(j - 95723)**2/13
Suppose 80*f**5 + 27000*f**4 + 67045*f**3 + 15010*f**2 - 21765*f + 3350 = 0. What is f?
-335, -2, -1, 1/4
Determine a so that -4*a**3 + 5856*a**2 + 130284*a + 719224 = 0.
-11, 1486
Solve -5*p**5 + 8790*p**4 - 70055*p**3 + 96210*p**2 + 70060*p - 105000 = 0 for p.
-1, 1, 2, 6, 1750
What is p in 676*p**3 - 1981980*p**2 + 1829088*p - 422064 = 0?
6/13, 2931
What is o in -9*o**3 - 7027*o**2 + 167990*o - 36984 = 0?
-804, 2/9, 23
Factor 6724*l**3 - 14067264*l**2 + 1372368*l - 33472.
4*(l - 2092)*(41*l - 2)**2
Factor -5*t**2 + 1265*t - 22230.
-5*(t - 234)*(t - 19)
Factor -3*o**2 + 414*o - 12408.
-3*(o - 94)*(o - 44)
Factor -399*w**2 + 5450*w + 41.
-(3*w - 41)*(133*w + 1)
Factor -5*h**3 - 15665*h**2 + 47040*h.
-5*h*(h - 3)*(h + 3136)
Factor -2*l**2/7 - 143460*l/7 - 2572596450/7.
-2*(l + 35865)**2/7
Factor x**3/6 - 306*x**2 - x/6 + 306.
(x - 1836)*(x - 1)*(x + 1)/6
Determine z, given that -2*z**3/5 + 178*z**2/5 - 30*z - 17226/5 = 0.
-9, 11, 87
Factor 358*w**3/7 - 27210*w**2/7 + 73872*w - 2888/7.
2*(w - 38)**2*(179*w - 1)/7
Let -s**4/3 + 4*s**3 + 21*s**2 - 90*s = 0. What is s?
-6, 0, 3, 15
Determine x, given that 2*x**5 + 183*x**4/2 - 2567*x**3 + 18240*x**2 - 36963*x + 16281/2 = 0.
-67, 1/4, 3, 9
Factor -2*x**3/7 - 1720*x**2/7 + 8662*x/7 + 10380/7.
-2*(x - 6)*(x + 1)*(x + 865)/7
Find y such that -25*y**3 - 31080*y**2 + 24880*y = 0.
-1244, 0, 4/5
Solve 2*b**3 + 11140*b**2 + 11138*b = 0 for b.
-5569, -1, 0
What is k in -k**2 + 212*k - 1035 = 0?
5, 207
Solve -217*y**4/2 - 5209*y**3/3 + 11035*y**2/6 + 17*y/3 = 0.
-17, -2/651, 0, 1
Factor 3*g**4 - 675*g**3 - 3429*g**2 - 4821*g - 2070.
3*(g - 230)*(g + 1)**2*(g + 3)
Determine r, given that 5*r**5 + 150*r**4 - 8830*r**3 + 70980*r**2 + 206465*r - 268770 = 0.
-62, -3, 1, 17
Factor 3*a**3 - 495*a**2 + 20832*a - 92160.
3*(a - 96)*(a - 64)*(a - 5)
Factor -n**3/5 - 491*n**2/5 + 6968*n - 34348/5.
-(n - 62)*(n - 1)*(n + 554)/5
Factor -2*f**3 - 3072*f**2 - 583848*f - 29752928.
-2*(f + 106)**2*(f + 1324)
Factor -2*g**4 - 94*g**3 - 750*g**2 + 3150*g.
-2*g*(g - 3)*(g + 15)*(g + 35)
Let l**4/3 + 1606*l**3/3 - 6465*l**2 + 33968*l/3 - 16180/3 = 0. What is l?
-1618, 1, 10
Let -10*c**2/7 - 34*c - 184/7 = 0. Calculate c.
-23, -4/5
What is x in 4*x**2 + 3228*x - 117880 = 0?
-842, 35
Factor -3*g**2 + 122478*g - 1250071707.
-3*(g - 20413)**2
Factor z**2 - 260206*z + 16926790609.
(z - 130103)**2
Let -3*c**2 + 1754022*c = 0. Calculate c.
0, 584674
Let 5*j**3 - 24555*j**2 + 49075*j + 73635 = 0. What is j?
-1, 3, 4909
Factor -4*t**4 - 72*t**3 + 352*t**2.
-4*t**2*(t - 4)*(t + 22)
Suppose -7*c**5 - 30602*c**4 - 33380164*c**3 + 143462792*c**2 - 172309376*c + 38298752 = 0. What is c?
-2188, 2/7, 2
Determine i, given that -2*i**2/5 + 906972*i/5 - 102824776098/5 = 0.
226743
Solve -4*q**2/7 - 936*q/7 + 940/7 = 0 for q.
-235, 1
Suppose -j**5/7 - j**4 + 12680*j**3/7 + 816768*j**2/7 + 14211072*j/7 - 15040512/7 = 0. Calculate j.
-48, 1, 136
Solve -y**4 + 2071*y**3 - 1111504*y**2 + 40257984*y = 0.
0, 39, 1016
Factor 7*r**3 + 302*r**2/3 - 193*r/3 + 10.
(r + 15)*(3*r - 1)*(7*r - 2)/3
Suppose -51*w**4/7 - 1026*w**3/7 - 549*w**2 + 11496*w/7 + 1404/7 = 0. What is w?
-13, -9, -2/17, 2
Factor -2*o**2/11 + 142*o/11 + 1620/11.
-2*(o - 81)*(o + 10)/11
Factor -k**3 + 43*k**2 - 144*k - 468.
-(k - 39)*(k - 6)*(k + 2)
Factor 5*n**2/4 - 437*n + 40575/4.
(n - 25)*(5*n - 1623)/4
Let d**4/5 + 431*d**3/5 - 2623*d**2/5 - 431*d/5 + 2622/5 = 0. What is d?
-437, -1, 1, 6
Suppose -11*t**5/6 - 100*t**4/3 + 334*t**3/3 + 163*t**2/3 - 219*t/2 - 21 = 0. What is t?
-21, -1, -2/11, 1, 3
Suppose -t**4/4 + 22*t**3 + 137*t**2/2 - 22*t - 273/4 = 0. Calculate t.
-3, -1, 1, 91
Suppose 88*q**5/7 - 302*q**4/7 - 4986*q**3/7 - 8368*q**2/7 + 4328*q/7 - 480/7 = 0. What is q?
-4, -3, 2/11, 1/4, 10
Factor -2*w**5 + 8*w**3 - 4*w**2 - 6*w + 4.
-2*(w - 1)**3*(w + 1)*(w + 2)
Solve 27*j**5 - 2259*j**4 + 64794*j**3 - 686232*j**2 + 1326048*j + 2079360 = 0.
-1, 4, 76/3, 30
Suppose -p**4 - 92*p**3 - 353*p**2 - 82*p + 528 = 0. Calculate p.
-88, -3, -2, 1
Factor 3*n**3/7 + 9354*n**2/7 + 83967*n/7 + 74616/7.
3*(n + 1)*(n + 8)*(n + 3109)/7
Suppose o**3/4 + 505*o**2/4 - 2823*o/2 + 3870 = 0. What is o?
-516, 5, 6
Factor -2*m**2/11 - 3644*m/11 - 7280/11.
-2*(m + 2)*(m + 1820)/11
Find u such that 10*u**4/7 - 94*u**3/7 + 116*u**2/7 - 32*u/7 = 0.
0, 2/5, 1, 8
Determine g, given that -2*g**5/5 + 42*g**4/5 + 2218*g**3/5 + 4014*g**2/5 - 10856*g/5 - 12696/5 = 0.
-23, -3, -1, 2, 46
Suppose 4*i**3 - 93948*i**2 - 187908*i - 93956 = 0. Calculate i.
-1, 23489
Find s such that 3*s**3/4 - 3*s**2/4 - 18*s - 27 = 0.
-3, -2, 6
Solve p**5/8 - 2*p**4 + 15*p**3/8 + 43*p**2/2 + 35*p/2 = 0.
-2, -1, 0, 5, 14
Solve -a**2/5 + 44002*a/5 - 484044001/5 = 0.
22001
Let -477*i**2 - 8868*i - 5076 = 0. Calculate i.
-18, -94/159
Factor 75*i**3 + 3155*i**2.
5*i**2*(15*i + 631)
Solve a**3/2 + 169*a**2/2 + 83*a - 168 = 0.
-168, -2, 1
Factor 2*r**3/5 + 822*r**2/5 - 5868*r/5 - 6688/5.
2*(r - 8)*(r + 1)*(r + 418)/5
Let 3*b**4/5 + 654*b**3/5 + 9324*b**2/5 + 7722*b + 49329/5 = 0. What is b?
-203, -9, -3
Factor 2*o**3/13 + 7380*o**2/13 - 1266414*o/13 + 53127968/13.
2*(o - 83)**2*(o + 3856)/13
Suppose 2*n**3/11 + 18*n**2 - 1472*n/11 + 1272/11 = 0. What is n?
-106, 1, 6
Find m, given that -m**5 - 47*m**4 - 751*m**3 - 5201*m**2 - 14800*m - 10304 = 0.
-23, -8, -7, -1
Solve -3*t**2/2 - 1545*t/2 - 6831 = 0.
-506, -9
What is h in 4*h**2 - 254224*h - 254228 = 0?
-1, 63557
Determine x so that 5*x**4 + 5*x**3 - 655*x**2 - 3045*x - 3510 = 0.
-9, -3, -2, 13
Suppose 5*h**5 - 200*h**4 + 1905*h**3 - 4030*h**2 - 740*h + 5400 = 0. Calculate h.
