*(l - 1)/4
Solve y**2 + 420*y - 6525 = 0 for y.
-435, 15
Suppose 5*s**3 + 2125*s**2 + 7940*s - 202080 = 0. Calculate s.
-421, -12, 8
Suppose 2*v**4/9 - 59296*v**3/9 + 439501952*v**2/9 = 0. Calculate v.
0, 14824
Factor -2*h**4/9 - 62*h**3/9 + 176*h**2/9 + 12584*h/9.
-2*h*(h - 13)*(h + 22)**2/9
Factor 2*r**3 + 48*r**2 - 2262*r - 57188.
2*(r - 34)*(r + 29)**2
Factor 4*t**4 - 88*t**3 + 612*t**2 - 1296*t.
4*t*(t - 9)**2*(t - 4)
Suppose -4*x**2 + 688*x + 3540 = 0. Calculate x.
-5, 177
Determine h so that h**3 - 326*h**2 - 985*h - 658 = 0.
-2, -1, 329
Factor 5*n**4/3 + 895*n**3/3 + 885*n**2 + 2645*n/3 + 880/3.
5*(n + 1)**3*(n + 176)/3
Solve 28*y**3/13 + 589622*y**2/13 + 547480*y/13 - 42114/13 = 0 for y.
-21057, -1, 1/14
Determine x, given that -2*x**4/3 + 196*x**3/3 + 398*x**2/3 + 200*x/3 = 0.
-1, 0, 100
Suppose -26*f**3/19 + 9876*f**2/19 + 19830*f/19 + 9928/19 = 0. What is f?
-1, 4964/13
Factor -2*s**3 - 1482*s**2 - 83520*s - 1225800.
-2*(s + 30)**2*(s + 681)
Solve 42*l**4 - 4671*l**3 - 74562*l**2 + 275211*l - 229500 = 0.
-17, 3/2, 12/7, 125
Suppose c**3/8 - 763*c**2/8 - 1923*c/4 + 576 = 0. Calculate c.
-6, 1, 768
Let 903*u**5/4 + 753*u**4/2 - 22722*u**3 - 37644*u**2 + 14700*u - 600 = 0. Calculate u.
-10, -2, 2/43, 2/7, 10
Factor v**3 - 1585*v**2 + 22043*v - 76979.
(v - 1571)*(v - 7)**2
Factor 3*a**3 + 7113*a**2 + 4450917*a + 274233807.
3*(a + 69)*(a + 1151)**2
Suppose -3*j**4 + 306*j**3 + 20124*j**2 - 41154*j + 20727 = 0. Calculate j.
-47, 1, 147
Determine x so that 67*x**2 - 2327*x + 9510 = 0.
317/67, 30
Let 8*a**4 + 1676*a**3 - 29652*a**2 + 40680*a = 0. What is a?
-226, 0, 3/2, 15
Solve 2*n**2/7 - 3300*n/7 + 13168/7 = 0.
4, 1646
Factor 3*r**4 + 102195*r**3 - 204399*r**2 + 102201*r.
3*r*(r - 1)**2*(r + 34067)
Solve -b**4/3 - 142*b**3 + 7901*b**2 - 298324*b/3 - 107484 = 0 for b.
-477, -1, 26
Determine u so that 3*u**2 + 855*u + 852 = 0.
-284, -1
Determine v, given that 5*v**4 - 3475*v**3 - 28055*v**2 - 45665*v - 21090 = 0.
-6, -1, 703
Find d, given that 4*d**2 - 180272*d + 2031124624 = 0.
22534
Find x, given that 2*x**2/7 + 9402*x/7 - 122564/7 = 0.
-4714, 13
Factor -2*w**3 + 5408*w**2 + 10822*w + 5412.
-2*(w - 2706)*(w + 1)**2
Suppose -3*k**4/7 - 2484*k**3/7 + 7479*k**2/7 - 12*k/7 - 9972/7 = 0. What is k?
-831, -1, 2
Suppose -10*g**3/3 - 16196*g**2/3 - 25880*g/3 + 12944/3 = 0. What is g?
-1618, -2, 2/5
Factor -3*i**3 + 1257*i**2 + 13158*i - 123552.
-3*(i - 429)*(i - 6)*(i + 16)
What is n in n**3/3 + 262*n**2/3 - 56500*n/3 - 14875000/3 = 0?
-250, 238
Factor -3*m**3/4 - 771*m**2/4 - 759*m.
-3*m*(m + 4)*(m + 253)/4
Suppose -2*g**2/23 + 1922*g/23 - 461496/23 = 0. What is g?
469, 492
Determine t so that -t**4/3 + 151*t**3/3 + 305*t**2/3 + 51*t = 0.
-1, 0, 153
Factor 3*z**3 - 27522*z**2 - 358227*z - 606342.
3*(z - 9187)*(z + 2)*(z + 11)
Factor 5*c**2/3 + 225395*c/3 + 225380.
5*(c + 3)*(c + 45076)/3
Factor 3*b**4 + 207*b**3 + 1326*b**2 + 1440*b - 2976.
3*(b - 1)*(b + 4)**2*(b + 62)
Factor 4*h**4 + 596*h**3 + 21956*h**2 + 176860*h + 407400.
4*(h + 5)**2*(h + 42)*(h + 97)
Factor -93*z**2 - 6054*z - 6528.
-3*(z + 64)*(31*z + 34)
Determine s, given that -s**3/2 + 35*s**2 - 1057*s/2 - 564 = 0.
-1, 24, 47
Solve 4*x**4/5 - 7828*x**3/5 + 5093352*x**2/5 - 1093242096*x/5 - 1118905056 = 0.
-5, 654
What is x in -12*x**5 - 1262*x**4 - 2644*x**3 + 3512*x**2 + 1024*x - 618 = 0?
-103, -3, -1/2, 1/3, 1
Find w, given that w**2/3 + 650*w/3 + 20648 = 0.
-534, -116
Factor 4*b**3 - 36988*b**2 - 36992*b.
4*b*(b - 9248)*(b + 1)
Factor 3*x**3 - 735*x**2 - 2232*x.
3*x*(x - 248)*(x + 3)
Factor -4*p**4 - 71732*p**3 - 428766072*p**2 - 854101967600*p + 854530805408.
-4*(p - 1)*(p + 5978)**3
Determine q, given that -q**2/10 - 4367*q/10 + 8742/5 = 0.
-4371, 4
Find p such that -2*p**4/11 + 3174*p**3/11 - 6324*p**2/11 - 25360*p/11 = 0.
-2, 0, 4, 1585
Factor q**2/2 + 1463*q/2 - 10339.
(q - 14)*(q + 1477)/2
Suppose 3*l**4/2 + 399*l**3/2 - 1677*l**2/2 - 4539*l/2 - 1233 = 0. What is l?
-137, -1, 6
Suppose -i**3 + 56900*i**2 - 809516288*i + 3237154816 = 0. Calculate i.
4, 28448
Solve 4*v**4 + 58760*v**3 + 215737332*v**2 - 431650960*v + 215854864 = 0.
-7346, 1
Factor 2*j**2/5 + 1284*j/5 - 177606/5.
2*(j - 117)*(j + 759)/5
What is d in -2*d**4/11 + 70*d**3/11 + 834*d**2/11 - 1538*d - 17680/11 = 0?
-17, -1, 13, 40
Suppose -4*u**3 - 13412*u**2 - 11235900*u + 11249316 = 0. What is u?
-1677, 1
Find d such that -10*d**3/9 - 992*d**2/3 - 27608*d/9 + 1280 = 0.
-288, -10, 2/5
Factor b**4 - 32*b**3/3 - 41*b**2/3 + 70*b/3.
b*(b - 1)*(b + 2)*(3*b - 35)/3
Suppose c**4/7 + 123*c**3/7 - 636*c**2/7 + 512*c/7 = 0. What is c?
-128, 0, 1, 4
Factor -3*u**4 + 128691*u**3 - 1380307473*u**2 + 4139764281*u.
-3*u*(u - 21447)**2*(u - 3)
Determine o so that -5*o**5 + 33085*o**4 + 331170*o**3 + 1192590*o**2 + 1789155*o + 894645 = 0.
-3, -1, 6627
Determine k, given that k**2 + 17636*k - 35276 = 0.
-17638, 2
Let 2*l**4/3 - 34*l**3/3 + 82*l**2/3 + 34*l/3 - 28 = 0. Calculate l.
-1, 1, 3, 14
What is j in -5*j**4/4 - 559*j**3/2 + 159843*j**2/4 - 55507*j + 15827 = 0?
-323, 2/5, 1, 98
Factor 4*x**4 - 1324*x**3 - 4008*x**2.
4*x**2*(x - 334)*(x + 3)
Factor 46*l**3 - 2078*l**2 + 2384*l - 352.
2*(l - 44)*(l - 1)*(23*l - 4)
What is b in -2*b**5/19 - 10*b**4/19 - 14*b**3/19 - 6*b**2/19 = 0?
-3, -1, 0
Factor -25*x**3 - 1285*x**2 + 6490*x + 2800.
-5*(x - 5)*(x + 56)*(5*x + 2)
Let -4*o**4 + 43392*o**3 - 118758904*o**2 + 5856835200*o - 72873002500 = 0. Calculate o.
25, 5399
Factor 2*l**2/9 + 448*l/9 - 2146.
2*(l - 37)*(l + 261)/9
Factor 2*l**3/7 + 20700*l**2/7 + 41394*l/7 + 20696/7.
2*(l + 1)**2*(l + 10348)/7
Solve -z**5/4 - 169*z**4 - 104945*z**3/4 + 1602965*z**2/2 + 104949*z - 3203226 = 0 for z.
-351, -2, 2, 26
Factor j**2/6 + 85*j/2 + 1734.
(j + 51)*(j + 204)/6
Solve 3*n**2/7 - 24747*n/7 - 24750/7 = 0 for n.
-1, 8250
Let 4*z**3/3 - 3836*z**2/3 - 7708*z - 11580 = 0. Calculate z.
-3, 965
Solve z**5/2 + 148*z**4 + 6227*z**3 - 699300*z**2 + 22325625*z/2 = 0 for z.
-175, 0, 27
Factor v**2/4 - 160345*v/2 - 320691/4.
(v - 320691)*(v + 1)/4
Let 9*i**3 + 10542*i**2 + 35049*i + 10512 = 0. Calculate i.
-1168, -3, -1/3
Find y such that 2*y**2 - 18060*y + 40770450 = 0.
4515
Factor 3*f**2/7 - 56628*f/7 + 56625/7.
3*(f - 18875)*(f - 1)/7
Solve -206632*h**2/5 - 206633*h/5 - 1/5 = 0 for h.
-1, -1/206632
Factor -w**2 - 780116*w - 152145243364.
-(w + 390058)**2
Factor -j**3/4 - 123444*j**2 + 987555*j/4 - 246889/2.
-(j - 1)**2*(j + 493778)/4
Suppose -l**5 + 35*l**4 + 38*l**3 - 72*l**2 = 0. What is l?
-2, 0, 1, 36
What is g in -98*g**5/13 + 11844*g**4/13 - 25532*g**3 - 1662936*g**2/13 + 4274734*g/13 - 2291628/13 = 0?
-6, 1, 437/7
Factor -4*x**4 + 836*x**3 - 47988*x**2 + 445500*x - 705672.
-4*(x - 99)**2*(x - 9)*(x - 2)
What is q in 4*q**5 + 636*q**4 + 5820*q**3 - 1557116*q**2 + 22880832*q + 24443136 = 0?
-103, -1, 24
Factor -3*b**3/8 - 2499*b**2/8 - 514113*b/8 + 2633415/8.
-3*(b - 5)*(b + 419)**2/8
Let 2*q**3/5 + 758*q**2 + 30224*q/5 + 60384/5 = 0. What is q?
-1887, -4
Find k, given that 82*k**2 + 2918*k + 4420 = 0.
-34, -65/41
Factor -s**2/3 + 571874*s/3 - 81759967969/3.
-(s - 285937)**2/3
Factor -2*p**2/7 - 658*p - 9204/7.
-2*(p + 2)*(p + 2301)/7
Let 4*d**3/3 - 89*d**2 + 1053*d - 4732/3 = 0. Calculate d.
7/4, 13, 52
Determine a, given that -3*a**5 + 2436*a**4 + 19611*a**3 + 56496*a**2 + 68844*a + 29520 = 0.
-3, -2, -1, 820
Let 5*w**4 + 3360*w**3 + 844470*w**2 + 94076640*w + 3919720005 = 0. What is w?
-183, -153
Factor i**4 + 336*i**3 + 1333*i**2 + 1662*i + 664.
(i + 1)**2*(i + 2)*(i + 332)
What is p in -3*p**2/5 + 22362*p/5 - 66951 = 0?
15, 7439
Solve 4*b**4/5 - 736*b**3/5 - 15808*b**2/5 - 103424*b/5 - 208896/5 = 0.
-8, -4, 204
Let 826*x**3 + 9866*x**2/3 + 7250*x/3 - 46 = 0. What is x?
-3, -1, 23/1239
Solve w**5/4 + 38507*w**4/2 - w**3/4 - 38507*w**2/2 = 0 for w.
-77014, -1, 0, 1
Solve -2*y**4/3 - 243368*y**3/3 - 2467670392*y**2 + 29614965184*y/3 - 29615938688/3 = 0 for y.
-60844, 2
Determine j so that -j**2/7 - 14218*j/7 - 50537881/7 = 0.
-7109
What is q in q**5 + 116*q**4 + 2155*q**3 - 4900*q**2 - 2156*q + 4784 = 0?
-92, -26, -1, 1, 2
Suppose -394*i**5 + 2750*i**4 - 3096*i**3 - 6368*i**2 - 128*i = 0. Calculate i.
-1, -4/197, 0, 4
Factor -k**3/5 - 287*k**2/5 - 22331*k/5 - 243997/5.
-(k + 13)*(k + 137)**2/5
Factor -i**4 - 1026*i**3 - 336540*i**2 - 29