2*(7*u + 1)**2
Solve x**4 - 26*x**3 - 13*x**2 + 350*x - 312 = 0 for x.
-4, 1, 3, 26
Determine x, given that x**3/7 - 3*x**2/7 - 94*x/7 + 360/7 = 0.
-10, 4, 9
Factor -2*f**4/7 - 24*f**3/7 + 376*f**2/7 + 384*f - 3584.
-2*(f - 8)**2*(f + 14)**2/7
Let -2*v**5 + 120*v**4 + 140*v**3 - 1120*v**2 + 1350*v - 488 = 0. What is v?
-4, 1, 61
Factor 4*z**2/3 + 4*z/3 - 8.
4*(z - 2)*(z + 3)/3
Factor -t**3 - 15*t**2 + 148*t - 132.
-(t - 6)*(t - 1)*(t + 22)
Suppose -2*o**4/17 + 48*o**3/17 + 2*o**2/17 - 48*o/17 = 0. What is o?
-1, 0, 1, 24
Solve 2*s**5/11 - 18*s**4/11 + 4*s**3 - 12*s**2/11 - 46*s/11 + 30/11 = 0.
-1, 1, 3, 5
Let 3*q**2/5 + 48*q/5 - 135 = 0. Calculate q.
-25, 9
Factor 2*y**4/7 - 2*y**2/7.
2*y**2*(y - 1)*(y + 1)/7
Solve s**2 + 33*s - 108 = 0 for s.
-36, 3
Factor i**2/2 + 154*i + 11858.
(i + 154)**2/2
Solve -x**4/5 - 26*x**3/5 - 213*x**2/5 - 572*x/5 - 484/5 = 0 for x.
-11, -2
Factor b**4 - 159*b**3 + 8262*b**2 - 131220*b - 472392.
(b - 54)**3*(b + 3)
Factor 3*w**4 + 87*w**3 - 48*w**2 - 10320*w + 28800.
3*(w - 8)*(w - 3)*(w + 20)**2
Solve -3*s**5/4 - 15*s**4/4 - 9*s**3/2 + 3*s**2/2 + 21*s/4 + 9/4 = 0.
-3, -1, 1
What is p in 148*p**4 + 156*p**3 - 140*p**2 - 156*p - 8 = 0?
-1, -2/37, 1
Factor 3*c**4 + 33*c**3 + 24*c**2 - 60*c.
3*c*(c - 1)*(c + 2)*(c + 10)
Factor q**5 + 6*q**4 - 34*q**3 + 56*q**2 - 39*q + 10.
(q - 1)**4*(q + 10)
Suppose 3*u**2/2 + 96*u - 1971/2 = 0. Calculate u.
-73, 9
Let -2*c**2/7 - 1944*c/7 - 472392/7 = 0. What is c?
-486
Suppose 2*g**5/5 + 12*g**4/5 - 4*g**3/5 - 72*g**2/5 + 2*g/5 + 12 = 0. Calculate g.
-5, -3, -1, 1, 2
Factor l**2/3 + 380*l/3 + 252.
(l + 2)*(l + 378)/3
Factor -30*y**2 - 3116*y + 416.
-2*(y + 104)*(15*y - 2)
Factor n**3 - 726*n**2 - 2916*n - 2920.
(n - 730)*(n + 2)**2
Factor g**4/5 - 319*g**3/5 + 317*g**2/5 + 319*g/5 - 318/5.
(g - 318)*(g - 1)**2*(g + 1)/5
Suppose 3*h**3 + 60*h**2/7 - 9*h/7 = 0. Calculate h.
-3, 0, 1/7
Factor -2*d**4/5 - 16*d**3/5 - 36*d**2/5 - 32*d/5 - 2.
-2*(d + 1)**3*(d + 5)/5
Solve -24*t**5 - 92*t**4 + 184*t**3 + 212*t**2 - 40*t = 0 for t.
-5, -1, 0, 1/6, 2
Determine j, given that 2*j**3 - 2*j**2 - 32*j - 40 = 0.
-2, 5
Determine w, given that 1553*w**2/3 + 1555*w/3 + 2/3 = 0.
-1, -2/1553
Factor 2*c**3/3 + 232*c**2/3 + 218*c/3 - 460.
2*(c - 2)*(c + 3)*(c + 115)/3
What is n in 2*n**4/11 + 4*n**3/11 - 2*n**2 - 24*n/11 + 72/11 = 0?
-3, 2
Solve -2*y**5 + 22*y**4 - 94*y**3 + 194*y**2 - 192*y + 72 = 0.
1, 2, 3
Determine k, given that 2*k**3 - 36*k**2 + 30*k + 68 = 0.
-1, 2, 17
Solve a**2 + 24*a + 144 = 0 for a.
-12
Let -5*x**3 + 1720*x**2 + 6940*x + 6960 = 0. What is x?
-2, 348
Find p such that 305*p**2 - 310*p + 5 = 0.
1/61, 1
Factor d**3 - 22*d**2 - 23*d.
d*(d - 23)*(d + 1)
Suppose 4*g**3 - 632*g**2 + 4268*g - 6040 = 0. Calculate g.
2, 5, 151
Factor 4*g**2 + 2108*g - 4232.
4*(g - 2)*(g + 529)
Let -9*b**3/7 + 48*b**2/7 - 15*b/7 = 0. What is b?
0, 1/3, 5
Solve 3*r**4 + 3*r**3 - 30*r**2 + 24*r = 0 for r.
-4, 0, 1, 2
Determine x, given that -3*x**5/5 + 27*x**4/5 + 201*x**3/5 + 141*x**2/5 - 198*x/5 - 168/5 = 0.
-4, -1, 1, 14
Let 3*w**5 + 12*w**4/5 - 33*w**3/5 + 6*w**2/5 = 0. Calculate w.
-2, 0, 1/5, 1
Let 3*x**5 - 21*x**4 + 39*x**3 + 9*x**2 - 54*x = 0. What is x?
-1, 0, 2, 3
Suppose -3*g**5 + 348*g**4 - 14304*g**3 + 238464*g**2 - 1306368*g + 2239488 = 0. Calculate g.
4, 36
Factor -f**3/8 + 7*f**2/2 - 35*f/2 + 22.
-(f - 22)*(f - 4)*(f - 2)/8
Let -2*l**4 - 66*l**3 - 506*l**2 + 714*l + 1156 = 0. Calculate l.
-17, -1, 2
Factor -2*j**2 - 68*j + 390.
-2*(j - 5)*(j + 39)
Factor -2*s**3/5 - 4*s**2/5 + 58*s/5 + 12.
-2*(s - 5)*(s + 1)*(s + 6)/5
Factor -5*c**3/2 + 15*c**2 - 45*c/2 + 10.
-5*(c - 4)*(c - 1)**2/2
Let -n**2 + 36 = 0. What is n?
-6, 6
Factor 4*i**2 + 364*i + 360.
4*(i + 1)*(i + 90)
Factor 2*x**3 + 204*x**2 + 6936*x + 78608.
2*(x + 34)**3
Solve -14*b**3 + 204*b**2 + 134*b - 660 = 0.
-2, 11/7, 15
Factor -3*g**4/7 - 6*g**3 - 99*g**2/7.
-3*g**2*(g + 3)*(g + 11)/7
Let -3*r**5/7 - 93*r**4/7 - 657*r**3/7 + 93*r**2/7 + 660*r/7 = 0. Calculate r.
-20, -11, -1, 0, 1
Let 2*f**2/3 + 3238*f/3 = 0. What is f?
-1619, 0
Factor 3*w**2/5 - 1038*w/5 + 89787/5.
3*(w - 173)**2/5
Determine c, given that -c**2/4 + 377*c/2 - 142129/4 = 0.
377
Factor -3*u**4/7 + 51*u**3/7 - 30*u**2.
-3*u**2*(u - 10)*(u - 7)/7
Solve -5*k**2 - 90*k - 85 = 0 for k.
-17, -1
Solve 4*u**4 - 60*u**3 + 252*u**2 - 196*u = 0.
0, 1, 7
Factor -p**4 + 5948*p**3 - 13267014*p**2 + 13152033212*p - 4889268346561.
-(p - 1487)**4
Find d such that -3*d**3/4 - 45*d**2/4 - 141*d/4 + 189/4 = 0.
-9, -7, 1
Determine a so that a**3/5 + 6*a**2 + 192*a/5 - 512/5 = 0.
-16, 2
Find f such that -f**3 + 104*f**2 - 3220*f + 25392 = 0.
12, 46
Factor -5*u**2 + 50*u + 55.
-5*(u - 11)*(u + 1)
Factor 2*z**5/7 - 158*z**4/7 - 486*z**3/7 - 70*z**2 - 164*z/7.
2*z*(z - 82)*(z + 1)**3/7
Factor -4*b**3 + 380*b**2 - 8428*b - 28812.
-4*(b - 49)**2*(b + 3)
Determine f so that -f**5/9 + 2*f**4/3 = 0.
0, 6
Find v, given that 868*v**2 - 5232*v + 144 = 0.
6/217, 6
Factor -2*t**5/9 + 44*t**4/9 - 94*t**3/3 + 440*t**2/9 - 200*t/9.
-2*t*(t - 10)**2*(t - 1)**2/9
Let -z**3/7 - 2*z**2/7 + 24*z/7 = 0. Calculate z.
-6, 0, 4
Factor 2*s**2/13 + 18*s/13 + 16/13.
2*(s + 1)*(s + 8)/13
Factor 3*z**3 + 84*z**2 - 1287*z.
3*z*(z - 11)*(z + 39)
Factor -a**3 - 135*a**2 + 136*a.
-a*(a - 1)*(a + 136)
Solve -4*d**4/9 - 22*d**3/9 + 46*d/9 - 20/9 = 0 for d.
-5, -2, 1/2, 1
Suppose 4*h**5 + 48*h**4 + 184*h**3 + 240*h**2 + 100*h = 0. Calculate h.
-5, -1, 0
Factor -2*h**4/3 - 112*h**3 + 338*h**2/3.
-2*h**2*(h - 1)*(h + 169)/3
Let l**4/8 + 19*l**3/4 + 397*l**2/8 + 171*l/2 + 81/2 = 0. Calculate l.
-18, -1
Let 2*s**4 - 1690*s**3 + 475452*s**2 - 44374392*s - 44851536 = 0. Calculate s.
-1, 282
Find m such that -4*m**2 - 40*m + 96 = 0.
-12, 2
Suppose 3*g**3/4 - 21*g**2 = 0. What is g?
0, 28
Suppose 3*c**3 - 6*c**2 - 12*c + 24 = 0. What is c?
-2, 2
Factor 4*u**3/7 - 1088*u**2/7 - 2188*u/7 - 1096/7.
4*(u - 274)*(u + 1)**2/7
Factor 28*u**5 - 20*u**4 - 8*u**3.
4*u**3*(u - 1)*(7*u + 2)
Determine a, given that 25*a**4 - 395*a**3 + 1250*a**2 - 1360*a + 480 = 0.
4/5, 1, 2, 12
Suppose 5*f**5 + 70*f**4 + 305*f**3 + 580*f**2 + 500*f + 160 = 0. What is f?
-8, -2, -1
What is w in -5*w**4 + 1450*w**3 - 105120*w**2 - 1450*w + 105125 = 0?
-1, 1, 145
Solve -2*r**2 - 2100*r = 0 for r.
-1050, 0
Let -3*j**2 + 9*j + 12 = 0. What is j?
-1, 4
Factor -2*x**4 + 104*x**3 - 1004*x**2 - 9048*x - 15138.
-2*(x - 29)**2*(x + 3)**2
Suppose 4*o**2 - 2560*o - 5136 = 0. Calculate o.
-2, 642
Let -2*q**3/7 - 82*q**2/7 - 304*q/7 - 296/7 = 0. What is q?
-37, -2
Factor -2*s**3/7 + 1640*s**2/7 - 336200*s/7.
-2*s*(s - 410)**2/7
Factor -2*t**3/9 + 28*t**2/9 - 16*t/3.
-2*t*(t - 12)*(t - 2)/9
Let -2*q**3/7 - 8*q**2/7 + 8*q - 64/7 = 0. What is q?
-8, 2
Factor -4*c**3 - 288*c**2 - 2580*c - 6200.
-4*(c + 5)**2*(c + 62)
Solve 3*o**3 + 237*o**2 - 1248*o + 1008 = 0 for o.
-84, 1, 4
Factor 3*v**4/7 + 6*v**3/7 - 24*v**2/7 - 54*v/7 - 27/7.
3*(v - 3)*(v + 1)**2*(v + 3)/7
Factor 2*c**4/5 + 66*c**3/5 + 156*c**2 + 760*c + 1200.
2*(c + 3)*(c + 10)**3/5
Find s, given that -s**3/4 + 1167*s**2/4 + 2337*s/4 + 1169/4 = 0.
-1, 1169
Factor -g**2 + 1124*g - 315844.
-(g - 562)**2
Solve c**4 + 24*c**3 + 197*c**2 + 630*c + 648 = 0.
-9, -4, -2
Determine z, given that -3*z**5/7 + 69*z**3/7 - 198*z**2/7 + 204*z/7 - 72/7 = 0.
-6, 1, 2
Let 2*t**4/17 - 26*t**3/17 + 66*t**2/17 - 62*t/17 + 20/17 = 0. Calculate t.
1, 10
Determine l, given that 2*l**3/11 - 3522*l**2/11 + 2067414*l/11 - 404524006/11 = 0.
587
Let 2*a**3/11 + 1220*a**2/11 - 4904*a/11 + 4912/11 = 0. Calculate a.
-614, 2
Factor 361*m**3/3 - 4769*m**2/3 + 992*m/3 - 52/3.
(m - 13)*(19*m - 2)**2/3
Factor f**2/4 + 7*f/4 + 3.
(f + 3)*(f + 4)/4
Factor -3*g**3 - 24*g**2 - 51*g - 30.
-3*(g + 1)*(g + 2)*(g + 5)
What is v in 3*v**2/2 + 369*v/2 - 960 = 0?
-128, 5
Factor 5*j**2 + 1370*j + 5400.
5*(j + 4)*(j + 270)
Suppose -g**5/2 + 53*g**4 - 2701*g**3/2 - 2862*g**2 - 1458*g = 0. Calculate g.
-1, 0, 54
Solve -406*y**3/13 + 4072*y**2/13 - 790*y + 300/13 = 0 for y.
6/203, 5
Factor -4*r**5 + 64*r**4 + 140*r**3 + 72*r**2.
-4*r**2*(r - 18)*(r + 1)**2
Factor -3*c**3 + 66*c**2 - 57*c - 126.
-3*(c - 21)*(c - 2)*(c + 1)
Factor 6*a**3/7 - 78*a**2/7 - 6*a/7 + 78/7.
6*(a - 13)*(a - 1)*(a + 1)/7
Determine r so that -r**2 - 46*r + 47 = 0.
-47, 1
Factor 5*h**3/6 + 80*h**2/