 1
Suppose 3*k**2/5 - 33*k/5 = 0. Calculate k.
0, 11
Factor b**2 - 12*b + 11.
(b - 11)*(b - 1)
Let 16*p**4/17 - 358*p**3/17 + 436*p**2/17 + 558*p/17 - 252/17 = 0. What is p?
-1, 3/8, 2, 21
Solve 3*c**4 + 3222*c**3 + 6435*c**2 + 3216*c = 0.
-1072, -1, 0
Find t, given that t**4/3 - 40*t**3/3 + 119*t**2 + 294*t = 0.
-2, 0, 21
Suppose -2*o**4/13 + 48*o**3/13 - 428*o**2/13 + 1680*o/13 - 2450/13 = 0. What is o?
5, 7
What is n in -2*n**5/3 - 28*n**4 - 294*n**3 = 0?
-21, 0
Determine n so that -2*n**2 - 112*n = 0.
-56, 0
Factor 2*s**2 - 66*s + 64.
2*(s - 32)*(s - 1)
Find j such that -j**2/5 + 5*j - 46/5 = 0.
2, 23
Factor 3*f**3/7 + 18*f**2/7 - 1053*f/7 - 10140/7.
3*(f - 20)*(f + 13)**2/7
Factor 2*l**2/7 + 6000*l/7 + 5998/7.
2*(l + 1)*(l + 2999)/7
Factor 2*k**2/5 - 56*k/5 - 1786/5.
2*(k - 47)*(k + 19)/5
Find w, given that -15*w**5 + 36*w**4 + 3*w**3 - 36*w**2 + 12*w = 0.
-1, 0, 2/5, 1, 2
Factor -s**4 + 30*s**3 - 83*s**2 + 54*s.
-s*(s - 27)*(s - 2)*(s - 1)
Find d, given that -5*d**5/2 + 15*d**4/2 - 5*d**3 = 0.
0, 1, 2
Factor -189*b**3 - 495*b**2 - 408*b - 108.
-3*(3*b + 2)**2*(7*b + 9)
Factor -2*r**4 + 210*r**3 - 5616*r**2 + 5408*r.
-2*r*(r - 52)**2*(r - 1)
Factor 2*z**5 - 30*z**4 + 124*z**3 - 144*z**2.
2*z**2*(z - 9)*(z - 4)*(z - 2)
Factor -j**2 - 16*j + 36.
-(j - 2)*(j + 18)
Determine b, given that b**5/6 - 5*b**4/3 - 23*b**3/3 + 38*b**2/3 + 71*b/2 - 39 = 0.
-3, 1, 2, 13
Suppose 4*l**4 + 56*l**3 + 176*l**2 + 160*l = 0. Calculate l.
-10, -2, 0
Factor 5*v**2 + 1820*v + 165620.
5*(v + 182)**2
Factor -v**4/2 - 43*v**3/8 - 61*v**2/8 + 9*v/4.
-v*(v + 2)*(v + 9)*(4*v - 1)/8
Factor -8*g**5/5 + 13*g**4/5 - 2*g**3/5 - 3*g**2/5.
-g**2*(g - 1)**2*(8*g + 3)/5
Factor -2*u**2 - 224*u + 690.
-2*(u - 3)*(u + 115)
Factor u**4 + 247*u**3/4 - 157*u**2/2 + 63*u/4.
u*(u - 1)*(u + 63)*(4*u - 1)/4
Factor -2*j**2 + 82*j - 228.
-2*(j - 38)*(j - 3)
Find t, given that t**3/4 - 23*t**2/2 + 45*t/4 = 0.
0, 1, 45
Factor 12*w**4 + 60*w**3 - 177*w**2 - 36*w + 189.
3*(w + 1)*(w + 7)*(2*w - 3)**2
Find m such that 890*m**2/13 - 2674*m/13 + 12/13 = 0.
2/445, 3
Solve 2*l**2/11 + 168*l/11 = 0.
-84, 0
Factor -2*p**3/9 - 8*p**2/9 + 2*p/3 + 4.
-2*(p - 2)*(p + 3)**2/9
Factor -14*z**2/11 + 1236*z/11 - 32.
-2*(z - 88)*(7*z - 2)/11
What is t in -162*t**4 + 3168*t**3 + 50032*t**2 + 21760*t + 2400 = 0?
-10, -2/9, 30
Factor j**3 + 127*j**2 + 3835*j - 12675.
(j - 3)*(j + 65)**2
Factor 4*k**2 - 72*k - 160.
4*(k - 20)*(k + 2)
Find q, given that -3*q**2 - 1980*q + 7968 = 0.
-664, 4
Determine v, given that -98*v**4/13 - 336*v**3/13 + 2274*v**2/13 - 1208*v/13 + 168/13 = 0.
-7, 2/7, 3
Let 48*r**4 - 50*r**3 - 190*r**2 + 200*r - 8 = 0. What is r?
-2, 1/24, 1, 2
Solve -i**2/4 - 125*i/4 - 31 = 0.
-124, -1
What is o in 155*o**2 + 395*o + 170 = 0?
-2, -17/31
Factor -5*r**2 + 50*r - 125.
-5*(r - 5)**2
Factor -4*i**2 + 8*i + 12.
-4*(i - 3)*(i + 1)
Let 4*o**2 - 56*o - 704 = 0. What is o?
-8, 22
Factor -k**2 + 5531*k/5 - 1106/5.
-(k - 1106)*(5*k - 1)/5
Factor -289*x**4/6 - 714*x**3 + 890*x**2 - 800*x/3.
-x*(x + 16)*(17*x - 10)**2/6
Factor 5*g**3/4 - 195*g**2 + 10140*g - 175760.
5*(g - 52)**3/4
Let 4*g**4 - 628*g**3 + 26700*g**2 - 157500*g = 0. What is g?
0, 7, 75
Determine y, given that -4*y**5/3 + 224*y**4/3 + 460*y**3/3 + 232*y**2/3 = 0.
-1, 0, 58
Factor -5*l**3 + 420*l**2 - 9225*l + 16810.
-5*(l - 41)**2*(l - 2)
Solve c**3/4 - c**2/2 - 5*c - 6 = 0.
-2, 6
Factor -w**3/6 - 175*w**2/6 + 89*w/3 + 176/3.
-(w - 2)*(w + 1)*(w + 176)/6
Suppose 12*c**5 - 20*c**4 - 11*c**3/3 + 20*c**2 - 25*c/3 = 0. Calculate c.
-1, 0, 5/6, 1
Find w such that -5*w**5/3 - 275*w**4/3 - 2000*w**3/3 - 5800*w**2/3 - 7600*w/3 - 3760/3 = 0.
-47, -2
Solve k**4/6 - 72*k**3 + 46655*k**2/6 + 72*k - 7776 = 0.
-1, 1, 216
Solve 2*y**3/15 + 16*y**2/15 = 0.
-8, 0
What is m in 2*m**2 - 1276*m - 1278 = 0?
-1, 639
What is a in -2*a**2/3 + 62*a - 184/3 = 0?
1, 92
Let -58*x**4 - 112*x**3 + 182*x**2 - 12*x = 0. Calculate x.
-3, 0, 2/29, 1
Let 12*g**5 - 183*g**4 + 396*g**3 + 2349*g**2 + 1458*g = 0. Calculate g.
-2, -3/4, 0, 9
Solve 5*t**4 + 10*t**3 - 125*t**2 - 10*t + 120 = 0 for t.
-6, -1, 1, 4
Let 2*g**2/7 - 2942*g/7 - 2944/7 = 0. What is g?
-1, 1472
Find j, given that j**3/4 + 7*j**2 + 25*j + 24 = 0.
-24, -2
Find u, given that -3*u**2/7 - 1374*u/7 - 157323/7 = 0.
-229
Factor -5*l**4 - 15*l**3 + 20*l**2.
-5*l**2*(l - 1)*(l + 4)
Determine m so that 5*m**3 + 55*m**2 + 75*m - 135 = 0.
-9, -3, 1
Factor -2*z**2 + 36*z - 162.
-2*(z - 9)**2
Solve -10*v**4/3 + 676*v**3/3 - 126*v**2 - 1600*v/3 - 536/3 = 0 for v.
-1, -2/5, 2, 67
Find f such that 2*f**5/3 + 314*f**4/3 - 322*f**3/3 - 938*f**2/3 + 1576*f/3 - 632/3 = 0.
-158, -2, 1
Factor 3*x**2/4 - 3627*x/4 + 906.
3*(x - 1208)*(x - 1)/4
Solve 2*f**5 + 18*f**4 + 26*f**3 - 66*f**2 - 28*f + 48 = 0 for f.
-6, -4, -1, 1
Factor -2*k**2/9 - 304*k/3 - 1816/9.
-2*(k + 2)*(k + 454)/9
Factor 20*u**3 + 184*u**2 + 316*u + 56.
4*(u + 2)*(u + 7)*(5*u + 1)
Factor 2*y**2/11 + 2820*y/11 + 994050/11.
2*(y + 705)**2/11
Factor -3*k**3 + 163*k**2 - 1653*k + 533.
-(k - 41)*(k - 13)*(3*k - 1)
Determine j, given that 4*j**5 - 20*j**4 - 32*j**3 + 176*j**2 + 128*j - 256 = 0.
-2, 1, 4
Suppose -3*d**3/7 - 45*d**2/7 - 54*d/7 + 312/7 = 0. Calculate d.
-13, -4, 2
Factor 5*i**2 + 300*i.
5*i*(i + 60)
Find n, given that 2*n**4/3 + 50*n**3/3 - 18*n**2 - 50*n/3 + 52/3 = 0.
-26, -1, 1
Let -z**3/11 + 73*z**2/11 - 1295*z/11 - 1369/11 = 0. What is z?
-1, 37
Determine z, given that 2*z**4/9 + 32*z**3/9 - 434*z**2/3 - 2692*z/9 - 1360/9 = 0.
-34, -1, 20
Let -32*j**5 + 48*j**4 + 142*j**3 + 18*j**2 - 38*j + 6 = 0. What is j?
-1, 1/4, 3
Factor x**5/2 + 4*x**4 - x**3/2 - 34*x**2 - 42*x.
x*(x - 3)*(x + 2)**2*(x + 7)/2
Solve -g**2 - 2*g + 63 = 0 for g.
-9, 7
Suppose -2*l**3/9 - 8*l**2/9 - 2*l/3 = 0. Calculate l.
-3, -1, 0
Factor -l**5 - 19*l**4 - 112*l**3 - 192*l**2.
-l**2*(l + 3)*(l + 8)**2
Factor -4*p**5 + 48*p**4 - 212*p**3 + 440*p**2 - 432*p + 160.
-4*(p - 5)*(p - 2)**3*(p - 1)
Factor j**5 - 5*j**4 + j**3 + 17*j**2 - 22*j + 8.
(j - 4)*(j - 1)**3*(j + 2)
Suppose -5*i**5 + 2*i**4 + 30*i**3 + 28*i**2 - i - 6 = 0. Calculate i.
-1, 2/5, 3
Let 13*f**4/5 + 57*f**3/5 + 33*f**2/5 - 73*f/5 - 6 = 0. What is f?
-3, -2, -5/13, 1
Solve -3*x**4 + 207*x**3 - 4014*x**2 + 14208*x + 18432 = 0.
-1, 6, 32
Find l, given that 4*l**3 - 2152*l**2 + 287280*l + 583200 = 0.
-2, 270
Factor d**4 - 2*d**3 - 8*d**2.
d**2*(d - 4)*(d + 2)
Factor -2*o**4 + 20*o**3 + 32*o**2 - 116*o + 66.
-2*(o - 11)*(o - 1)**2*(o + 3)
Let 10*h**5 + 35*h**4 - 60*h**3 - 140*h**2 + 80*h = 0. Calculate h.
-4, -2, 0, 1/2, 2
Factor 5*k**2/2 - 15*k - 1955/2.
5*(k - 23)*(k + 17)/2
Suppose -c**5/3 + 17*c**4 + 18*c**3 - 104*c**2/3 = 0. What is c?
-2, 0, 1, 52
Factor -t**2 - 985*t + 986.
-(t - 1)*(t + 986)
Let -4*j**2/3 - 244*j/3 - 80 = 0. What is j?
-60, -1
What is w in -20*w**4 + 48*w**3 + 64*w**2 - 192*w + 64 = 0?
-2, 2/5, 2
Factor -2*i**5/5 + 28*i**4 - 408*i**3/5 + 404*i**2/5 - 134*i/5.
-2*i*(i - 67)*(i - 1)**3/5
Suppose 3*m**3 + 72*m**2 + 468*m + 672 = 0. Calculate m.
-14, -8, -2
Determine x, given that 112*x**4/3 - x**3/3 - 112*x**2/3 + x/3 = 0.
-1, 0, 1/112, 1
Solve 3*z**2/4 + 501*z = 0 for z.
-668, 0
Determine f, given that 91*f**2 + 185*f/2 + 3/2 = 0.
-1, -3/182
Factor -4*c**3 + 15*c**2 - 9*c.
-c*(c - 3)*(4*c - 3)
Factor -2*a**3 + 6648*a**2 - 5531130*a + 11035684.
-2*(a - 1661)**2*(a - 2)
Factor a**4/9 - 82*a**3 + 137629*a**2/9 - 60188*a + 538756/9.
(a - 367)**2*(a - 2)**2/9
Suppose 14*i**2/5 + 20*i + 14/5 = 0. What is i?
-7, -1/7
Factor -2*p**3/13 + 444*p**2/13 - 32856*p/13 + 810448/13.
-2*(p - 74)**3/13
Find z such that -5*z**2 - 755*z = 0.
-151, 0
Find p, given that 4*p**3 + 240*p**2 + 1628*p - 1872 = 0.
-52, -9, 1
Factor 5*k**3 + 95*k**2 - 210*k.
5*k*(k - 2)*(k + 21)
Factor -8*j**3 + 46*j**2 - 60*j - 18.
-2*(j - 3)**2*(4*j + 1)
Suppose -b**2/5 - 108*b/5 - 2916/5 = 0. Calculate b.
-54
Let -10*w**3 - 198*w**2 = 0. What is w?
-99/5, 0
Factor 3*b**3 + 12*b**2 - 33*b + 18.
3*(b - 1)**2*(b + 6)
Factor 2*b**2 - 408*b + 3510.
2*(b - 195)*(b - 9)
Suppose -2*b**3 - 32*b**2 - 110*b = 0. What is b?
-11, -5, 0
Factor 8*h**5 + 70*h**4 + 188*h**3 + 72*h**2 - 324*h - 270.
2*(h + 1)*(h + 3)**3*(4*h - 5)
Solve -5*b**3 - 5955*b**2 + 11925*b - 5965 = 0 for b.
-1193, 1
Determine c, given that -2*c**4 - 4*c**3 + 32*c**2 + 4*c - 30 = 0.
