7, 0
Let -30*i**3 + 97855*i**2 - 79788520*i - 13300805 = 0. What is i?
-1/6, 1631
Factor -p**2/4 - 134123*p - 17988979129.
-(p + 268246)**2/4
What is v in 5*v**2 + 89180*v + 267495 = 0?
-17833, -3
Factor 2*c**2 + 12028*c.
2*c*(c + 6014)
Let 2*v**4/5 + 4121*v**3/5 + 14401*v**2/5 + 4111*v/5 - 6171/5 = 0. Calculate v.
-2057, -3, -1, 1/2
Suppose 18*j**5/7 + 10284*j**4/7 + 23894*j**3/7 - 2316*j**2/7 - 22776*j/7 - 9104/7 = 0. Calculate j.
-569, -2, -2/3, 1
Factor 6*t**2/7 - 16286*t/7 + 6972.
2*(t - 3)*(3*t - 8134)/7
Find f such that 3*f**4 + 522*f**3 + 17955*f**2 - 433200*f = 0.
-95, 0, 16
Factor 3*y**2/4 + 2691*y - 1647135/4.
3*(y - 147)*(y + 3735)/4
Suppose -2*u**5/7 + 262*u**4/7 + 7542*u**3/7 - 2266*u**2 + 8060*u/7 = 0. What is u?
-26, 0, 1, 155
What is w in 280*w**5 - 12252*w**4 + 132532*w**3 + 32736*w**2 + 1936*w = 0?
-1/7, -1/10, 0, 22
Factor 4*g**2/5 + 61168*g/5 + 233845264/5.
4*(g + 7646)**2/5
Factor 2*r**2 - 14500*r + 14498.
2*(r - 7249)*(r - 1)
Let -2*x**4 - 22*x**3 + 710*x**2 - 3962*x + 5292 = 0. What is x?
-27, 2, 7
Determine l, given that 3*l**4/4 - 75*l**3/2 + 240*l**2 + 600*l - 4032 = 0.
-4, 4, 8, 42
Solve 2*r**4 - 64*r**3 - 4287*r**2/2 + 6647*r/2 - 1118 = 0 for r.
-43/2, 1/2, 1, 52
Factor -4*j**2 + 4640*j + 113664.
-4*(j - 1184)*(j + 24)
Suppose 21*u**5 - 2152*u**4 + 936*u**3 + 8608*u**2 - 4080*u = 0. Calculate u.
-2, 0, 10/21, 2, 102
Factor w**4/7 + 820*w**3/7 + 15979*w**2/7 - 2400*w.
w*(w - 1)*(w + 21)*(w + 800)/7
Factor -t**3 - 4403*t**2 + 4410*t + 26424.
-(t - 3)*(t + 2)*(t + 4404)
Solve -279*r**5/8 - 23613*r**4/8 + 28467*r**3/4 - 21087*r**2/4 + 9393*r/8 - 261/8 = 0 for r.
-87, 1/31, 1/3, 1
Suppose q**4/3 + 124*q**3/3 - 379*q**2/3 + 254*q/3 = 0. What is q?
-127, 0, 1, 2
Factor -4*c**3 + 116168*c**2 + 348540*c.
-4*c*(c - 29045)*(c + 3)
Factor -l**2/4 - 39*l/4 - 19/2.
-(l + 1)*(l + 38)/4
Solve -2*m**4/3 + 92*m**3/3 - 240*m**2 + 684*m - 666 = 0.
3, 37
Factor 2*y**2/3 + 2492*y.
2*y*(y + 3738)/3
Factor 20*i**2 - 124935*i - 31235.
5*(i - 6247)*(4*i + 1)
Find t, given that -2*t**4/13 - 412*t**3/13 + 918*t**2 - 30344*t/13 - 42688/13 = 0.
-232, -1, 4, 23
Factor 2*t**2/3 - 2606*t/3 - 18340/3.
2*(t - 1310)*(t + 7)/3
Solve 10*y**3 + 5075*y**2 - 2540*y = 0 for y.
-508, 0, 1/2
Factor -12*f**3 + 7844*f**2 + 2624*f - 5232.
-4*(f - 654)*(f + 1)*(3*f - 2)
Factor n**2/5 - 8464*n + 89549120.
(n - 21160)**2/5
Determine t so that 5*t**4 - 295*t**3 - 5550*t**2 - 2500*t + 185000 = 0.
-10, 5, 74
Find k such that 18*k**2 - 1675*k/3 + 31/3 = 0.
1/54, 31
Suppose 8*q**5/9 + 40*q**4/3 - 2518*q**3/9 + 716*q**2/3 + 4094*q/9 + 132 = 0. What is q?
-27, -1/2, 2, 11
Let -187171*v**4/4 - 561511*v**3/4 - 561507*v**2/4 - 187165*v/4 + 1/2 = 0. Calculate v.
-1, 2/187171
Factor -f**2/3 - 9206*f - 63562827.
-(f + 13809)**2/3
Let k**3 - 70*k**2 + 63*k + 414 = 0. Calculate k.
-2, 3, 69
Factor s**3/4 + 5489*s**2/4 - 1373*s - 2745.
(s - 2)*(s + 1)*(s + 5490)/4
Solve 5*y**4 - 7315460*y**3 + 2675805066030*y**2 - 5351588185700*y + 2675790435125 = 0 for y.
1, 731545
Find p, given that 2*p**5 + 6*p**4 - 166*p**3 - 294*p**2 + 1892*p - 1440 = 0.
-9, -5, 1, 2, 8
Factor 71*k**3/10 - 539*k**2 + 51034*k/5 + 4332/5.
(k - 38)**2*(71*k + 6)/10
Factor 3*s**2 + 750*s + 5103.
3*(s + 7)*(s + 243)
Factor d**3/2 - 375*d**2/4 - 237*d - 95.
(d - 190)*(d + 2)*(2*d + 1)/4
Determine k so that -2*k**3/7 + 2106*k**2/7 - 738606*k/7 + 12325786 = 0.
341, 371
Solve -15*o**5 - 2739*o**4 + 15168*o**3 - 11388*o**2 - 20256*o + 9024 = 0 for o.
-188, -1, 2/5, 2, 4
Suppose -i**2 + 426*i + 2592 = 0. What is i?
-6, 432
Let u**2/2 + 58647*u + 3439470609/2 = 0. What is u?
-58647
Find l such that 5*l**3 - 159860*l**2 - 959295*l - 1439010 = 0.
-3, 31978
Solve -3*b**4 - 987*b**3 + 1989*b**2 + 987*b - 1986 = 0.
-331, -1, 1, 2
Find j such that 3*j**5 - 825*j**3 - 810*j**2 + 1632*j = 0.
-16, -2, 0, 1, 17
Factor 4*v**2 + 2776*v + 446292.
4*(v + 253)*(v + 441)
Suppose 3*m**2 - 36765*m + 257208 = 0. What is m?
7, 12248
Factor h**3/4 + 7491*h**2/4 - 37530*h + 187775.
(h - 10)**2*(h + 7511)/4
Find f such that -2*f**3/5 + 24*f**2 + 1854*f/5 + 3212/5 = 0.
-11, -2, 73
Factor -4*d**3 - 32*d**2 + 80*d.
-4*d*(d - 2)*(d + 10)
Find f such that f**4/7 + 151*f**3/7 + 150*f**2/7 = 0.
-150, -1, 0
Suppose -r**2/4 - 9*r/8 + 2691/8 = 0. What is r?
-39, 69/2
Solve 3*t**3 - 870*t**2 + 79476*t - 2332776 = 0 for t.
74, 142
Factor -2*b**3 - 1354*b**2 - 233830*b - 1571150.
-2*(b + 7)*(b + 335)**2
Suppose -2*z**3/13 - 316*z**2/13 + 8374*z/13 + 8688/13 = 0. What is z?
-181, -1, 24
Factor 3*x**3/2 + 4891*x**2/2 - 32747*x/2 - 11459/2.
(x - 7)*(x + 1637)*(3*x + 1)/2
Let 2*g**5/3 - 140*g**4 - 872*g**3/3 + 5116*g**2/3 - 1982*g + 2120/3 = 0. What is g?
-5, 1, 212
Factor 4*k**3/5 - 5904*k**2/5 - 5908*k/5.
4*k*(k - 1477)*(k + 1)/5
Determine q, given that -q**5/5 - 36*q**4/5 + 933*q**3/5 + 31076*q**2/5 - 100572*q/5 = 0.
-34, 0, 3, 29
Suppose 17*a**5/6 - 71*a**4/6 + 97*a**3/6 - 49*a**2/6 + a = 0. What is a?
0, 3/17, 1, 2
What is w in -212*w**5/5 - 263094*w**4/5 + 788066*w**3/5 - 783514*w**2/5 + 256266*w/5 + 2488/5 = 0?
-1244, -1/106, 1
Factor 3*l**2/5 - 131838*l/5 - 131853.
3*(l - 43951)*(l + 5)/5
Suppose -w**3/3 - 14*w**2/3 + 109*w/3 + 266/3 = 0. What is w?
-19, -2, 7
Factor 2028*d**5 + 5460*d**4 + 3051*d**3 + 486*d**2.
3*d**2*(d + 2)*(26*d + 9)**2
Find y, given that -2*y**4 - 2904*y**3 - 1033628*y**2 + 14900424*y - 52654322 = 0.
-733, 7
Let -2*c**3/5 + 1306*c**2/5 - 207206*c/5 - 1972098/5 = 0. What is c?
-9, 331
Factor -3*i**2 + 1722*i + 37485.
-3*(i - 595)*(i + 21)
Solve 5*x**5 - 805*x**4/4 + 2685*x**3 - 53195*x**2/4 + 22360*x - 4800 = 0 for x.
1/4, 3, 5, 16
Solve -5*q**2 + 8236210*q - 3391757758205 = 0.
823621
Factor 3*t**5 + 1374*t**4 - 8316*t**3 + 16674*t**2 - 13911*t + 4176.
3*(t - 3)*(t - 1)**3*(t + 464)
What is d in d**2 + 3554*d + 17745 = 0?
-3549, -5
Let -5*a**2 - 6205*a + 6210 = 0. Calculate a.
-1242, 1
Factor -33666*q**2/7 - 67330*q/7 + 4/7.
-2*(q + 2)*(16833*q - 1)/7
Factor -k**2/3 + 2731*k/3 + 10940/3.
-(k - 2735)*(k + 4)/3
Let o**5/2 + 123*o**4 + 7315*o**3 - 30626*o**2 + 77625*o/2 - 15625 = 0. Calculate o.
-125, 1, 2
Determine w, given that -3*w**2/2 - 1991871*w - 1322516693547/2 = 0.
-663957
What is h in 2*h**4 + 40*h**3 + 192*h**2 = 0?
-12, -8, 0
Factor 6*j**2/7 + 294*j - 86868/7.
6*(j - 38)*(j + 381)/7
Let -10*f**5 - 2154*f**4 - 123580*f**3 - 806208*f**2 - 302848*f = 0. Calculate f.
-104, -7, -2/5, 0
Factor -i**3 + 104*i**2 + 595*i - 5450.
-(i - 109)*(i - 5)*(i + 10)
Factor -m**3/10 - 37*m**2/2 + 2884*m/5 - 20874/5.
-(m - 14)**2*(m + 213)/10
What is b in -2*b**3/9 - 4372*b**2/9 - 2248000*b/9 + 156658624/9 = 0?
-1124, 62
Suppose v**5 - 103*v**4 + 2409*v**3 - 4313*v**2 - 2410*v + 4416 = 0. What is v?
-1, 1, 2, 32, 69
Solve -3*g**3/5 - 621*g**2/5 + 3819*g/5 - 639 = 0.
-213, 1, 5
Suppose 5*v**2 - 71435*v - 71440 = 0. What is v?
-1, 14288
Determine a so that 5*a**5 + 4835*a**4 + 9650*a**3 - 10*a**2 - 9655*a - 4825 = 0.
-965, -1, 1
Factor -v**3/8 - 21593*v**2/8 + 43189*v/8 - 21595/8.
-(v - 1)**2*(v + 21595)/8
Factor 2*y**5 + 1898*y**4 - 42388*y**3 + 325276*y**2 - 950894*y + 666106.
2*(y - 7)**3*(y - 1)*(y + 971)
Determine j so that 14900*j**4 + 125150*j**3 + 187656*j**2 - 161046*j + 108 = 0.
-6, -3, 1/1490, 3/5
Factor q**2 - 6128*q - 6129.
(q - 6129)*(q + 1)
Factor -v**4/7 + 57552*v**3/7 - 828691006*v**2/7 + 18210316080*v/7 - 100118452225/7.
-(v - 28765)**2*(v - 11)**2/7
Solve -4*q**2 + 1497256*q - 140110970596 = 0.
187157
Factor 2*t**3/9 - 11686*t**2/9 - 15590*t/3 - 3898.
2*(t - 5847)*(t + 1)*(t + 3)/9
Factor -2*a**2/15 - 5880728*a/15 - 4322870226248/15.
-2*(a + 1470182)**2/15
Factor 4*m**4 - 18156*m**3 + 27524280*m**2 - 14018054800*m + 123946236000.
4*(m - 1510)**3*(m - 9)
Determine j, given that 3*j**5 + 75*j**4 + 261*j**3 - 759*j**2 + 420*j = 0.
-20, -7, 0, 1
Solve 5*i**2/2 + 2095*i + 415380 = 0 for i.
-516, -322
Find l, given that 2*l**2/9 - 356*l/9 - 10736/3 = 0.
-66, 244
Factor k**2/7 - 2324*k + 9451708.
(k - 8134)**2/7
Factor -g**5/4 + 19*g**4/4 + 13*g**3/4 - 1183*g**2/4.
-g**2*(g - 13)**2*(g + 7)/4
Factor -i**2/4 - 5743*i/4 - 10038.
-(i + 7)*(i + 5736)/4
Let 2*p**4 - 44*p**3 + 158*p**2 + 204*p = 0. Calculate p.
-1, 0, 6, 17
Determine f so that -f**3/2 - 37*f**2/2 + 98*f + 656 = 0.
-41, -4, 8
Solve 2*k**3/5 - 16*k**2/5 + 14*k/5 = 0.
0