14)**3*(b + 1847)
Suppose -3*m**2/4 + 125265*m/4 = 0. Calculate m.
0, 41755
Factor 8*p**3/3 - 157742*p**2/3 + 777559612*p/3 + 194399762/3.
2*(p - 9859)**2*(4*p + 1)/3
Solve -c**4/2 - 109*c**3 - 1316*c**2 + 3405*c + 9225/2 = 0.
-205, -15, -1, 3
Let -3*m**5/5 - 48*m**4/5 - 216*m**3/5 + 66*m**2/5 + 447*m + 630 = 0. Calculate m.
-7, -5, -2, 3
Solve 25*c**5 - 1685*c**4 + 20495*c**3 - 76855*c**2 + 99120*c - 28620 = 0 for c.
2/5, 2, 3, 9, 53
Factor 2*f**2/13 - 3956*f/13 + 357770/13.
2*(f - 1883)*(f - 95)/13
Factor 2*t**2/5 + 258*t/5 + 7776/5.
2*(t + 48)*(t + 81)/5
Factor 3*t**3/5 - 7779*t**2/5 - 23358*t/5 - 15576/5.
3*(t - 2596)*(t + 1)*(t + 2)/5
Let -4*o**5/3 + 20*o**4/3 + 512*o**3/3 + 176*o**2/3 - 4288*o/3 + 3584/3 = 0. Calculate o.
-8, -4, 1, 2, 14
Determine h so that -2*h**5 - 94*h**4 - 1216*h**3 - 3800*h**2 - 3456*h = 0.
-27, -16, -2, 0
Factor -2*t**4/11 - 288760*t**3/11 - 10422792200*t**2/11.
-2*t**2*(t + 72190)**2/11
Suppose -5*x**3/4 - 15705*x**2/2 - 31405*x/4 = 0. What is x?
-6281, -1, 0
Factor -c**4/5 + 211703*c**3/5 - 14939316168*c**2/5 + 70280518952512*c + 351417534290432/5.
-(c - 70568)**3*(c + 1)/5
Determine p, given that -p**4/2 + 20128*p**3 + 40259*p**2/2 - 40257*p = 0.
-2, 0, 1, 40257
Factor 45*l**2 + 398825*l - 88630.
5*(l + 8863)*(9*l - 2)
Factor -9*o**3/4 - 35*o**2/2 + 49*o - 10.
-(o - 2)*(o + 10)*(9*o - 2)/4
Determine o so that -5*o**2 + 190*o + 20640 = 0.
-48, 86
Solve 2*u**2/7 + 5196*u/7 + 3374802/7 = 0.
-1299
Find v, given that -4*v**3 + 3404*v**2 - 735968*v + 4986352 = 0.
7, 422
Factor 2*p**3 - 3230*p**2 + 1292734*p + 9208094.
2*(p - 811)**2*(p + 7)
Let -4*h**4/7 - 804*h**3/7 - 216*h**2 + 15824*h/7 - 19104/7 = 0. What is h?
-199, -6, 2
Let -x**5/2 - 25*x**4 - 471*x**3/2 - 851*x**2 - 1264*x - 624 = 0. What is x?
-39, -4, -2, -1
Factor 4*x**4/3 + 47*x**3 - 1141*x**2/3 - 98*x.
x*(x - 7)*(x + 42)*(4*x + 1)/3
Factor t**2 + 147*t + 2852.
(t + 23)*(t + 124)
Factor -2*k**2 + 58890*k - 58888.
-2*(k - 29444)*(k - 1)
Solve 188*z**5 + 18260*z**4 + 38236*z**3 + 22444*z**2 + 2280*z = 0.
-95, -1, -6/47, 0
Factor 3*c**2/4 + 171321*c/4 + 171315/2.
3*(c + 2)*(c + 57105)/4
Solve k**3/5 + 292*k**2/5 + 9179*k/5 - 9472/5 = 0 for k.
-256, -37, 1
Factor 6*j**2 + 54707*j - 9118.
(j + 9118)*(6*j - 1)
Factor -9*g**2/5 - 439*g/5 + 98/5.
-(g + 49)*(9*g - 2)/5
Suppose 6*z**4 - 1695*z**3 + 113727*z**2 - 2207832*z - 1132560 = 0. Calculate z.
-1/2, 44, 195
Factor -t**3/11 + 120551*t**2/11 - 3633075624*t/11 - 3633196176/11.
-(t - 60276)**2*(t + 1)/11
Solve -p**2/2 + 439*p/2 - 22865 = 0 for p.
170, 269
Solve -3*g**5/8 - 231*g**4/2 + 242427*g**3/4 + 21406077*g**2/2 - 25761518667*g/8 = 0.
-391, 0, 237
Determine l, given that -5*l**4 - 3530*l**3 - 82065*l**2 - 153560*l - 75020 = 0.
-682, -22, -1
Suppose 14*n**3/13 + 178000*n**2/13 + 228838*n/13 + 50852/13 = 0. Calculate n.
-12713, -1, -2/7
What is x in 105*x**5 + 44120*x**4 + 567660*x**3 + 1609730*x**2 - 1637685*x + 199430 = 0?
-407, -7, 1/7, 2/3
Suppose 9*s**3/5 - 30039*s**2/5 + 81762*s + 139608/5 = 0. Calculate s.
-1/3, 14, 3324
Solve -t**3/2 - 721*t**2/2 - 65160*t - 64800 = 0.
-360, -1
Factor 3*s**2/4 - 1065*s/4 + 1827.
3*(s - 348)*(s - 7)/4
Suppose b**4 - 257*b**3 - 11508*b**2 - 109476*b - 299376 = 0. Calculate b.
-28, -6, 297
Solve 2*m**5/3 - 10*m**4/3 - 164*m**3/3 - 524*m**2/3 - 202*m - 78 = 0.
-3, -1, 13
Suppose -3*c**5/4 - 27*c**4/2 - 309*c**3/4 - 387*c**2/2 - 219*c - 90 = 0. Calculate c.
-10, -3, -2, -1
Suppose -s**5 + 3379*s**4 + 54257*s**3 + 213793*s**2 + 312296*s + 149380 = 0. What is s?
-11, -2, -1, 3395
Factor -m**3/4 - 394*m**2 + 4*m + 6304.
-(m - 4)*(m + 4)*(m + 1576)/4
Suppose 2*n**5/7 + 122*n**4/7 + 114*n**3/7 - 362*n**2/7 - 116*n/7 + 240/7 = 0. What is n?
-60, -2, -1, 1
Let j**5/5 + 369*j**4/5 + 11952*j**3/5 - 4086464*j**2/5 + 119912448*j/5 + 124010496/5 = 0. What is j?
-232, -1, 48
Factor 2*g**2/9 - 21160*g/9 + 11750.
2*(g - 10575)*(g - 5)/9
Solve -n**3 - 412*n**2 + 2499*n - 3762 = 0.
-418, 3
Let 4*z**2 + 3143652*z = 0. What is z?
-785913, 0
Suppose -11858*y**4 + 721490*y**3 + 847852*y**2 + 118968*y + 4464 = 0. What is y?
-1, -6/77, 62
Factor v**3/5 - 43*v**2/5 - 5*v + 215.
(v - 43)*(v - 5)*(v + 5)/5
Let 18404*s**2 + 331264*s - 144 = 0. What is s?
-18, 2/4601
Find k such that -3*k**2/8 - 747*k/4 + 7545/8 = 0.
-503, 5
Determine b so that -6*b**2/5 + 13594*b/5 - 4528 = 0.
5/3, 2264
Determine v so that -3*v**3 - 174*v**2 - 411*v + 4620 = 0.
-55, -7, 4
Solve -4*s**3 - 1172*s**2 - 70376*s + 71552 = 0 for s.
-208, -86, 1
Factor 2*v**3 - 8758*v**2 + 52494*v - 78714.
2*(v - 4373)*(v - 3)**2
Solve 98*q**5/5 + 2478*q**4/5 - 54374*q**3/5 - 268918*q**2/5 - 73476*q/5 - 5168/5 = 0.
-38, -4, -1/7, 17
Suppose 4*n**2 + 1100*n = 0. Calculate n.
-275, 0
Suppose 3*g**4 - 81*g**3 - 813*g**2 - 999*g + 1890 = 0. Calculate g.
-6, -3, 1, 35
Factor 12*t**2 + 656*t/3 - 532/3.
4*(t + 19)*(9*t - 7)/3
Factor h**2 + 138*h + 2736.
(h + 24)*(h + 114)
Determine d, given that d**4/5 - 6268*d**3/5 + 6262*d**2/5 + 31332*d/5 + 18801/5 = 0.
-1, 3, 6267
Let 5*k**5 - 2545*k**4 - 10245*k**3 - 7715*k**2 + 10240*k + 10260 = 0. Calculate k.
-2, -1, 1, 513
What is t in 3*t**3 - 144573*t**2 + 1741851645*t - 1741707075 = 0?
1, 24095
Let -2*y**5 + 326*y**4 - 942*y**3 - 2926*y**2 + 7384*y - 3840 = 0. Calculate y.
-3, 1, 4, 160
Factor -m**3 - 210*m**2 - 10139*m - 103530.
-(m + 14)*(m + 51)*(m + 145)
Determine z so that 4*z**5/5 + 692*z**4/5 + 11576*z**3/5 - 1691432*z**2/5 + 9759684*z/5 - 2885148 = 0.
-107, 3, 35
Factor -21*f**3 - 45*f**2 + 516*f.
-3*f*(f - 4)*(7*f + 43)
Suppose -2*c**2/5 - 13518*c/5 = 0. What is c?
-6759, 0
Factor -r**3 + 540*r**2 - 3209*r + 2670.
-(r - 534)*(r - 5)*(r - 1)
Solve -2*b**2 - 24422*b - 24420 = 0 for b.
-12210, -1
Factor 4*s**4 - 424*s**3 + 6116*s**2 - 5696*s.
4*s*(s - 89)*(s - 16)*(s - 1)
Suppose 6*p**3 - 309942*p**2 + 619875*p/2 - 77484 = 0. Calculate p.
1/2, 51656
Factor -15*u**3 + 140*u**2 + 1885*u + 1190.
-5*(u - 17)*(u + 7)*(3*u + 2)
Factor 3*w**3 - 7620*w**2 + 739500*w - 18300000.
3*(w - 2440)*(w - 50)**2
Factor -m**5 + 220*m**4 - 2745*m**3 + 11270*m**2 - 19100*m + 11592.
-(m - 207)*(m - 7)*(m - 2)**3
Determine g, given that -2*g**2/9 - 667004*g/9 - 55611792002/9 = 0.
-166751
Determine n, given that 2*n**5/3 - 32*n**4/3 + 184*n**3/3 - 448*n**2/3 + 128*n = 0.
0, 2, 4, 6
Let 4*w**5 + 252*w**4 + 4088*w**3 + 3592*w**2 - 4092*w - 3844 = 0. What is w?
-31, -1, 1
What is z in 3*z**5/2 + 15*z**4/2 - 315*z**3/2 + 885*z**2/2 - 24*z - 630 = 0?
-14, -1, 2, 3, 5
Factor 3*g**4 + 5550*g**3 + 2981631*g**2 + 383649300*g + 14335211628.
3*(g + 82)**2*(g + 843)**2
Find h such that -4*h**5 - 2268*h**4 + 16012*h**3 - 34404*h**2 + 20664*h = 0.
-574, 0, 1, 3
Solve -o**2/2 - 31631*o/2 + 79090 = 0.
-31636, 5
Factor -2*z**2 - 42760*z - 171008.
-2*(z + 4)*(z + 21376)
Factor 2*z**4 + 482*z**3 + 2830*z**2 + 2350*z.
2*z*(z + 1)*(z + 5)*(z + 235)
Suppose -j**4/9 - 169*j**3/9 - 269*j**2/3 + 2125*j/9 - 1148/9 = 0. Calculate j.
-164, -7, 1
Factor -2*m**2/9 + 332*m/9 - 326/3.
-2*(m - 163)*(m - 3)/9
Let 786200*j**3 - 746790*j**2 - 39405*j - 5 = 0. What is j?
-1/20, -1/7862, 1
Solve 6832996*m**2/5 - 26140*m + 125 = 0 for m.
25/2614
Factor -v**2 + 125744*v - 3952888384.
-(v - 62872)**2
Factor 5*n**3 + 18650*n**2 + 17409760*n + 34744960.
5*(n + 2)*(n + 1864)**2
Factor 5*c**4 + 310*c**3 - 635*c**2 + 320*c.
5*c*(c - 1)**2*(c + 64)
Find y such that 5*y**5/6 + 11179*y**4/6 + 5209*y**3 - 8939*y**2/3 - 31259*y/6 + 2233/2 = 0.
-2233, -3, -1, 1/5, 1
Find f, given that 2*f**5 + 196*f**4 - 7366*f**3 + 42232*f**2 + 263432*f + 295936 = 0.
-128, -2, 17
Factor 8*s**4/9 - 7762*s**3/9 + 1940*s**2/9.
2*s**2*(s - 970)*(4*s - 1)/9
Let g**5 + 99*g**4 + 2687*g**3 + 25301*g**2 + 58548*g + 35836 = 0. Calculate g.
-62, -17, -2, -1
Factor -k**5/6 + 724*k**4/3 - 531341*k**3/6 + 2584805*k**2/3.
-k**2*(k - 719)**2*(k - 10)/6
Let 2*s**4/5 - 538*s**3/15 - 25604*s**2/5 + 129832*s/15 + 17264/5 = 0. What is s?
-78, -1/3, 2, 166
Factor 98*a**3/5 - 1792*a**2/5 - 31078*a/5 - 20172.
2*(a - 30)*(7*a + 41)**2/5
What is g in -2*g**3 - 180*g**2 - 5218*g - 48360 = 0?
-39, -31, -20
Factor -r**2/3 - 9581*r/3 - 210298/3.
-(r + 22)*(r + 9559)/3
Factor -5*s**4 - 80*s**3 + 5255*s**2 - 23650*s.
-5*s*(s - 22)*(s - 5)*(s + 43)
Factor h**2 + 618*h - 73440.
(h - 102)*(h + 720)
Factor -2*p**3 -