t - 15913280.
-5*(t + 8)**2*(t + 223)**2
Suppose 3*j**3/2 + 99*j**2 + 2835*j/2 - 7350 = 0. Calculate j.
-35, 4
Let 44*u**2/5 + 564*u/5 - 104/5 = 0. What is u?
-13, 2/11
Suppose -3*c**3/7 - 15*c**2/7 - 6*c/7 + 24/7 = 0. Calculate c.
-4, -2, 1
Factor -2*o**2/11 + 1000*o/11 - 998/11.
-2*(o - 499)*(o - 1)/11
Suppose -2*h**5/17 - 6*h**4/17 + 2*h**3/17 + 14*h**2/17 - 8/17 = 0. What is h?
-2, -1, 1
Determine y, given that -10*y**4 - 1515*y**3 - 53840*y**2 + 270660*y - 121680 = 0.
-78, 1/2, 4
Factor 4*r**2 + 2216*r + 306916.
4*(r + 277)**2
Factor -2*h**2 + 836*h - 834.
-2*(h - 417)*(h - 1)
What is i in -i**2/4 + i - 1 = 0?
2
Solve -v**4/2 + 21*v**3/4 - 17*v**2/2 - 33*v + 18 = 0 for v.
-2, 1/2, 6
Determine j so that -j**3 + 35*j**2 + 161*j - 195 = 0.
-5, 1, 39
Determine a, given that -5*a**5 - 55*a**4 - 170*a**3 - 70*a**2 + 175*a + 125 = 0.
-5, -1, 1
Factor 2*r**5 - 106*r**4 - 684*r**3 - 1396*r**2 - 1174*r - 354.
2*(r - 59)*(r + 1)**3*(r + 3)
Factor 2*x**3/11 + 32*x**2/11 - 2*x/11 - 32/11.
2*(x - 1)*(x + 1)*(x + 16)/11
Determine f so that -3*f**2 - 180*f = 0.
-60, 0
Solve 2*x**4/11 + 10*x**3/11 - 14*x**2/11 - 58*x/11 + 60/11 = 0 for x.
-5, -3, 1, 2
Let -2*o**3 + 194*o**2 - 4800*o + 4608 = 0. What is o?
1, 48
Factor 4*t**2 - 356*t + 3160.
4*(t - 79)*(t - 10)
Suppose n**4/3 - 53*n**3/3 + 673*n**2/3 + 279*n - 486 = 0. What is n?
-2, 1, 27
Let -2*w**3/7 - 6*w**2/7 - 6*w/7 - 2/7 = 0. Calculate w.
-1
Let -3*c**4/5 - 33*c**3/5 + 36*c**2/5 = 0. What is c?
-12, 0, 1
Solve 3*i**4 - 60*i**3 + 261*i**2 + 324*i = 0.
-1, 0, 9, 12
Determine r so that r**5/2 + 21*r**4/2 - 49*r**3/2 - 61*r**2/2 + 90*r - 46 = 0.
-23, -2, 1, 2
Solve -3*b**2 + 93*b + 1548 = 0 for b.
-12, 43
Determine m, given that -49*m**5/8 + 189*m**4/2 + 493*m**3/8 - 173*m**2/2 - 111*m/2 - 8 = 0.
-1, -2/7, 1, 16
Factor 44*n**2 + 40*n - 4.
4*(n + 1)*(11*n - 1)
Let -8*q**4 - 370*q**3 - 92*q**2 = 0. Calculate q.
-46, -1/4, 0
Let 2*q**5/9 - 500*q**4/9 + 39692*q**3/9 - 91408*q**2 - 1559214*q - 1463340 = 0. Calculate q.
-10, -1, 87
Find f such that 6728*f**5/13 + 13688*f**4/13 + 7194*f**3/13 + 236*f**2/13 + 2*f/13 = 0.
-1, -1/58, 0
Factor -2*z**3/5 + 2*z**2/5 + 24*z/5.
-2*z*(z - 4)*(z + 3)/5
Factor -6*l**3 + 228*l**2/5 + 96*l/5.
-6*l*(l - 8)*(5*l + 2)/5
Let 4*h**3 - 128*h**2 + 1204*h - 3528 = 0. What is h?
7, 18
Factor -z**4/2 - 9*z**3/2 + 2*z**2 + 48*z.
-z*(z - 3)*(z + 4)*(z + 8)/2
Suppose -3*j**5 + 84*j**4 - 234*j**3 + 228*j**2 - 75*j = 0. Calculate j.
0, 1, 25
Let 6*g**4 + 3*g**3 - 9*g**2 - 3*g + 3 = 0. Calculate g.
-1, 1/2, 1
Factor c**3 + 8*c**2 + 7*c.
c*(c + 1)*(c + 7)
Solve -45*i**4 + 105*i**3 - 80*i**2 + 20*i = 0 for i.
0, 2/3, 1
Let b**4/2 - 9*b**3 + 56*b**2 - 135*b + 175/2 = 0. Calculate b.
1, 5, 7
Solve -38*d**5/3 + 248*d**4/3 - 310*d**3/3 + 100*d**2/3 = 0.
0, 10/19, 1, 5
Solve n**4 + 22*n**3 - 23*n**2 = 0.
-23, 0, 1
Factor -3429500*b**3/3 - 433200*b**2 - 54720*b - 2304.
-4*(95*b + 12)**3/3
Solve 15*u**3 - 1866*u**2 + 744*u = 0 for u.
0, 2/5, 124
Let -c**2 + 90*c - 425 = 0. What is c?
5, 85
Let u**2/12 - 9*u/4 - 7/3 = 0. What is u?
-1, 28
Factor 4*r**5 + 40*r**4 + 32*r**3 - 40*r**2 - 36*r.
4*r*(r - 1)*(r + 1)**2*(r + 9)
Determine m, given that -3*m**2 - 24*m = 0.
-8, 0
Let -4*a**2 - 40*a - 36 = 0. Calculate a.
-9, -1
Find h, given that -h**3/3 + 16*h**2/3 - 25*h/3 - 14 = 0.
-1, 3, 14
Determine t, given that t**3/9 - 16*t**2/9 + 76*t/9 - 32/3 = 0.
2, 6, 8
Determine n so that 2*n**3/11 + 10*n**2/11 - 12*n/11 = 0.
-6, 0, 1
Suppose -7*q**5/8 + 41*q**4/4 + 143*q**3/8 - 151*q**2/4 - 115*q/2 - 13 = 0. What is q?
-2, -1, -2/7, 2, 13
Let 2*i**4 + 220*i**3 - 6*i**2 - 664*i - 440 = 0. What is i?
-110, -1, 2
Find o, given that -o**5 - 11*o**4/4 + 23*o**3/4 + 7*o**2/4 - 19*o/4 + 1 = 0.
-4, -1, 1/4, 1
Factor 4*p**4 - 88*p**2 + 96*p + 180.
4*(p - 3)**2*(p + 1)*(p + 5)
Find j such that 4*j**4 - 152*j**3 + 1440*j**2 + 152*j - 1444 = 0.
-1, 1, 19
Factor -25*n**4/8 + 735*n**3/4 - 291*n**2/2 + 29*n.
-n*(n - 58)*(5*n - 2)**2/8
Determine y so that 3*y**4 + 53*y**3/4 - 119*y**2/4 - 9*y/2 + 18 = 0.
-6, -3/4, 1, 4/3
Factor -s**2 + 14896*s - 55472704.
-(s - 7448)**2
Determine y so that y**3/6 - 1543*y**2/6 + 297220*y/3 + 297992/3 = 0.
-1, 772
Factor 3*t**3/5 + 18*t**2/5 - 27*t/5 - 42/5.
3*(t - 2)*(t + 1)*(t + 7)/5
Let 4*r**3 - 64*r**2 - 604*r - 920 = 0. Calculate r.
-5, -2, 23
Factor -3*n**2 + 1263*n + 1266.
-3*(n - 422)*(n + 1)
Factor m**4/6 - 2*m**3/3 - m**2/6 + 2*m/3.
m*(m - 4)*(m - 1)*(m + 1)/6
Factor -x**2 + 11*x - 18.
-(x - 9)*(x - 2)
Suppose -38*o**5/5 + 153*o**4/5 - 232*o**3/5 + 158*o**2/5 - 42*o/5 + 1/5 = 0. Calculate o.
1/38, 1
Factor b**5/11 - 922*b**4/11 + 3676*b**3/11 - 3672*b**2/11.
b**2*(b - 918)*(b - 2)**2/11
Find q such that 2*q**3/13 + 98*q**2/13 + 70*q + 814/13 = 0.
-37, -11, -1
Factor y**5 - 19*y**4 + 123*y**3 - 305*y**2 + 200*y.
y*(y - 8)*(y - 5)**2*(y - 1)
Factor -2*w**3/17 + 22*w**2/17 + 378*w/17 + 882/17.
-2*(w - 21)*(w + 3)*(w + 7)/17
Factor -5*z**4/4 + 39*z**3/4 - 13*z**2 - 3*z.
-z*(z - 6)*(z - 2)*(5*z + 1)/4
Suppose 4*q**5/9 - 26*q**4/9 + 10*q**3/3 + 2*q**2/9 - 10*q/9 = 0. What is q?
-1/2, 0, 1, 5
Factor -3*q**2 - 210*q - 3675.
-3*(q + 35)**2
Solve -5*s**5 + 45*s**4 + 85*s**3 - 345*s**2 - 80*s + 300 = 0 for s.
-3, -1, 1, 2, 10
Factor u**3/6 - 1267*u**2/6 + 632*u/3 + 422.
(u - 1266)*(u - 2)*(u + 1)/6
Let 2*i**2/17 - 3590*i/17 - 3592/17 = 0. Calculate i.
-1, 1796
Let -2*g**3/5 - 36*g**2/5 - 162*g/5 - 216/5 = 0. What is g?
-12, -3
Factor -3*p**2 + 3768*p - 1183152.
-3*(p - 628)**2
Factor -4*q**3 + 44*q**2 - 80*q - 128.
-4*(q - 8)*(q - 4)*(q + 1)
Determine h so that -2*h**2/7 - 188*h/7 - 4418/7 = 0.
-47
Factor 3*r**4 - 6*r**3 - 9*r**2.
3*r**2*(r - 3)*(r + 1)
Suppose -2*r**5 + 2*r**4 + 2*r**3 - 2*r**2 = 0. Calculate r.
-1, 0, 1
Suppose 4*w**4 + 2*w**3 - 6*w**2 - 2*w + 2 = 0. What is w?
-1, 1/2, 1
Solve -3*o**3/7 + 30*o**2/7 - 39*o/7 - 72/7 = 0 for o.
-1, 3, 8
What is p in 4*p**3/9 - 10*p**2/9 - 88*p/9 - 104/9 = 0?
-2, 13/2
Find h such that 2*h**3/15 + 734*h**2/15 = 0.
-367, 0
Solve 2*y**5/5 - 14*y**4/5 + 32*y**3/5 - 24*y**2/5 = 0 for y.
0, 2, 3
Determine a so that a**2 - 544*a - 545 = 0.
-1, 545
Factor -3*h**3/2 + 57*h**2/2 - 171*h + 324.
-3*(h - 9)*(h - 6)*(h - 4)/2
Determine x so that x**2 + 46*x - 147 = 0.
-49, 3
Factor 2*x**2/13 - 456*x/13 + 904/13.
2*(x - 226)*(x - 2)/13
Let -3*g**2 + 78*g + 81 = 0. What is g?
-1, 27
What is w in 4*w**5 - 31*w**4/3 + 4*w**3/3 + 20*w**2/3 = 0?
-2/3, 0, 5/4, 2
Determine a so that 51005*a**5 - 152005*a**4 - 54030*a**3 + 151990*a**2 + 3025*a + 15 = 0.
-1, -1/101, 1, 3
Factor -2*v**4 - 190*v**3 - 364*v**2 + 760*v + 1488.
-2*(v - 2)*(v + 2)**2*(v + 93)
Factor 3*u**4 - 1545*u**3 - 10938*u**2 - 12576*u + 25056.
3*(u - 522)*(u - 1)*(u + 4)**2
Find v, given that -2*v**3 + 4*v**2 + 10*v - 12 = 0.
-2, 1, 3
Find l, given that -l**4/3 + 7*l**3 + 73*l**2/3 - 7*l - 24 = 0.
-3, -1, 1, 24
Factor -9*a**3 - 33*a**2 - 15*a + 9.
-3*(a + 1)*(a + 3)*(3*a - 1)
Suppose -2*q**5 + 140*q**4 - 2304*q**3 - 5184*q**2 = 0. Calculate q.
-2, 0, 36
Factor -j**2 - 2*j + 3.
-(j - 1)*(j + 3)
Let -n**3 + 16259*n**2 - 66080640*n - 66096900 = 0. What is n?
-1, 8130
Determine j so that j**4/7 - 23*j**3/7 = 0.
0, 23
Find s such that -s**5/6 - 73*s**4/6 + 37*s**3/3 = 0.
-74, 0, 1
Solve 3*l**5 - 174*l**4 - 372*l**3 + 714*l**2 + 369*l - 540 = 0.
-3, -1, 1, 60
Factor 5*s**2 + 685*s - 1390.
5*(s - 2)*(s + 139)
Suppose 5*f**4 - 65*f**3 + 250*f**2 - 160*f - 480 = 0. What is f?
-1, 4, 6
Factor 4*i**3 - 168*i**2 + 476*i - 312.
4*(i - 39)*(i - 2)*(i - 1)
Factor -5*b**2 + 100*b - 95.
-5*(b - 19)*(b - 1)
Determine p so that 5*p**4 + 125*p**3 + 830*p**2 + 480*p - 1440 = 0.
-12, -2, 1
Factor q**2 - 187*q + 910.
(q - 182)*(q - 5)
Determine p, given that 2*p**3/3 - 2938*p**2/3 + 5870*p/3 - 978 = 0.
1, 1467
What is b in -6*b**2/7 - 23*b + 27/7 = 0?
-27, 1/6
Solve -f**2/2 - 17*f/2 - 8 = 0.
-16, -1
Factor s**3/4 + 9*s**2/4 + 5*s + 3.
(s + 1)*(s + 2)*(s + 6)/4
Factor -2*s**3/3 + 20*s**2/3 - 22*s/3 - 140/3.
-2*(s - 7)*(s - 5)*(s + 2)/3
Suppose 35*v**3 + 2600*v**2 + 48655*v + 13690 = 0. What is v?
-37, -2/7
Factor -3*g**5/4 - 9*g**4 - 135*g**3/4 - 75*g**2/2.
-3*g**2*(g + 2)*(g + 5)**2/4
Factor -2*s**2/21 - 106*s/21 + 976/21.
-2*(s - 8)*(s + 61)/21
Find y, given that 4*y**4 + 132*y**3 + 104*y**2 - 768*y = 0.
-32, -3, 0, 2
Le