- 10)**2*(a - 3)*(a + 2)/2
Suppose s**2 + 19*s - 42 = 0. Calculate s.
-21, 2
Factor -f**4/8 + f**3/2 - 3*f**2/8.
-f**2*(f - 3)*(f - 1)/8
Determine n so that -3*n**5/2 - 117*n**4/2 + 399*n**3 - 279*n**2 - 795*n/2 + 675/2 = 0.
-45, -1, 1, 5
Solve 3964928*g**5 + 3559424*g**4 + 1204352*g**3 + 188000*g**2 + 13208*g + 338 = 0 for g.
-1/4, -13/176
Determine g, given that -5*g**4 + 10*g**3 + 65*g**2 + 50*g = 0.
-2, -1, 0, 5
Suppose -3*h**2/7 + 522*h/7 - 22707/7 = 0. What is h?
87
Let 2*f**4/19 + 62*f**3/19 + 538*f**2/19 + 1162*f/19 - 1764/19 = 0. What is f?
-18, -7, 1
Find r, given that -4*r**2 - 540*r - 1584 = 0.
-132, -3
Determine q so that -2*q**4 + 24*q**3 - 96*q**2 + 160*q - 96 = 0.
2, 6
Suppose -4*u**3 + 88*u**2 + 636*u + 1008 = 0. What is u?
-3, 28
Solve 3*r**5/5 - 102*r**4/5 - 444*r**3/5 - 456*r**2/5 = 0 for r.
-2, 0, 38
Factor 4*d**4 - 1488*d**3.
4*d**3*(d - 372)
Let 3*k**2 - 6*k - 360 = 0. Calculate k.
-10, 12
Find m such that -m**5/5 + 474*m**4/5 - 75821*m**3/5 + 4236804*m**2/5 - 23143536*m/5 + 3796416 = 0.
1, 5, 156
Factor q**5 + 5*q**4 - 14*q**3 - 36*q**2 + 72*q.
q*(q - 2)**2*(q + 3)*(q + 6)
Find v, given that -4*v**4/5 + 112*v**3/5 + 236*v**2/5 + 24*v = 0.
-1, 0, 30
Solve -5*r**2 + 6232*r - 2492 = 0.
2/5, 1246
Suppose -7*b**5/5 + 383*b**4/5 - 6834*b**3/5 + 39232*b**2/5 + 11776*b/5 = 0. Calculate b.
-2/7, 0, 16, 23
Find j, given that -5*j**3 + 100*j**2 + 215*j + 110 = 0.
-1, 22
Factor -3*f**5 + 369*f**4 - 15822*f**3 + 263250*f**2 - 1190943*f + 1601613.
-3*(f - 39)**3*(f - 3)**2
Factor 3*c**4 - 114*c**3 + 519*c**2 - 804*c + 396.
3*(c - 33)*(c - 2)**2*(c - 1)
Let -9*q**2 - 237*q - 78 = 0. Calculate q.
-26, -1/3
Factor q**2 - 65*q + 64.
(q - 64)*(q - 1)
Factor z**3/5 + 5*z**2 + 187*z/5 + 363/5.
(z + 3)*(z + 11)**2/5
Determine w, given that -3*w**2/4 - 267*w/8 + 273/8 = 0.
-91/2, 1
Let -2*i**3 + 140*i**2 + 894*i + 1368 = 0. Calculate i.
-3, 76
Determine n, given that -9*n**5/4 - 4*n**4 + 193*n**3/4 + 129*n**2 + 59*n - 20 = 0.
-4, -2, -1, 2/9, 5
Factor -3*t**3 + 36*t**2 + 81*t + 42.
-3*(t - 14)*(t + 1)**2
Factor 5*f**4 - 95*f**3 + 490*f**2 - 400*f.
5*f*(f - 10)*(f - 8)*(f - 1)
Solve -5*g**2 - 3470*g - 602045 = 0 for g.
-347
Let -u**2/3 - 10*u/3 + 8 = 0. What is u?
-12, 2
Factor 14*k**3/9 - 872*k**2/9 + 248*k/9.
2*k*(k - 62)*(7*k - 2)/9
Suppose -7*y**5/5 - 23*y**4/5 + 8*y**3/5 + 88*y**2/5 + 16*y + 16/5 = 0. What is y?
-2, -1, -2/7, 2
Factor 2*i**3/7 + 52*i**2/7 + 96*i/7.
2*i*(i + 2)*(i + 24)/7
Factor 12*t**4 - 9*t**3 - 36*t**2 + 51*t - 18.
3*(t - 1)**2*(t + 2)*(4*t - 3)
Find d such that d**3/2 - 281*d**2/2 + 1111*d/2 - 831/2 = 0.
1, 3, 277
Find d such that 3*d**5 + 4*d**4 - 37*d**3 - 14*d**2 + 132*d - 72 = 0.
-3, 2/3, 2
Factor 3*r**4 + 246*r**3 + 717*r**2 + 474*r.
3*r*(r + 1)*(r + 2)*(r + 79)
Solve -3*g**2 - 48*g - 84 = 0 for g.
-14, -2
Suppose l**5 + 9*l**4 - 67*l**3 + 51*l**2 + 126*l = 0. What is l?
-14, -1, 0, 3
Determine u so that 5*u**3/4 + 465*u**2/4 + 11475*u/4 + 30375/4 = 0.
-45, -3
Factor -k**2/3 - 11*k/3 + 4.
-(k - 1)*(k + 12)/3
Factor -2*f**4/19 - 52*f**3/19 - 128*f**2/19 + 3072*f/19.
-2*f*(f - 6)*(f + 16)**2/19
Solve -162*k**4/11 - 288*k**3/11 - 128*k**2/11 = 0 for k.
-8/9, 0
Solve 4*d**3 + 100*d**2 - 68*d - 10404 = 0.
-17, 9
What is w in -3*w**2/8 - 21*w/8 + 27/4 = 0?
-9, 2
Find g such that -3*g**4 + 1056*g**3 - 101946*g**2 + 1587168*g - 6777027 = 0.
9, 167
Factor -4*m**3 - 376*m**2 + 4*m + 376.
-4*(m - 1)*(m + 1)*(m + 94)
Determine r so that 125*r**3 - 9850*r**2 - 53755*r - 70980 = 0.
-13/5, 84
Let 2*j**3/21 - 14*j**2 - 128*j/3 - 200/7 = 0. What is j?
-2, -1, 150
Factor -2*x**2 - 6548*x - 5359538.
-2*(x + 1637)**2
Factor -k**2/2 - 91*k - 696.
-(k + 8)*(k + 174)/2
Determine r so that 5*r**4 - 90*r**3 - 195*r**2 - 100*r = 0.
-1, 0, 20
Factor 5*w**2 + 235*w - 750.
5*(w - 3)*(w + 50)
Factor -4*j**4/3 - 16*j**3/3 - 20*j**2/3 - 8*j/3.
-4*j*(j + 1)**2*(j + 2)/3
Factor 3*i**2/2 - 2340*i - 4683/2.
3*(i - 1561)*(i + 1)/2
Find p, given that 2*p**5/9 - 4*p**4/3 + 44*p**2/9 + 10*p/3 = 0.
-1, 0, 3, 5
Factor -n**3/4 - 5*n**2/4 + n/4 + 5/4.
-(n - 1)*(n + 1)*(n + 5)/4
Let 4*u**4 - 52*u**3 - 12*u**2 + 164*u - 104 = 0. Calculate u.
-2, 1, 13
Factor 4*s**5 - 38*s**4 + 124*s**3 - 152*s**2 + 16*s + 64.
2*(s - 4)*(s - 2)**3*(2*s + 1)
Find g, given that -2*g**2/9 - 58*g/9 - 52/3 = 0.
-26, -3
Suppose 2*n**5/5 + 18*n**4/5 + 6*n**3 + 14*n**2/5 = 0. Calculate n.
-7, -1, 0
Factor -c**4 + 46*c**3 - 456*c**2 - 5054*c + 75449.
-(c - 19)**3*(c + 11)
Suppose 5*n**5/3 - 170*n**4/3 - 5*n**3/3 + 170*n**2/3 = 0. Calculate n.
-1, 0, 1, 34
Solve -6*s**2/7 - 26*s/7 + 60/7 = 0.
-6, 5/3
Suppose 14*c**3/3 - 340*c**2/3 + 418*c/3 - 92/3 = 0. What is c?
2/7, 1, 23
Determine f so that -3*f**3 - 30*f**2 + 168*f = 0.
-14, 0, 4
Suppose -2*q**2/3 + 20*q/3 + 26 = 0. What is q?
-3, 13
Determine l, given that -l**4/6 + 2*l**3 - 29*l**2/6 + 3*l = 0.
0, 1, 2, 9
Solve -2*j**5 - 20*j**4 + 28*j**3 + 56*j**2 - 106*j + 44 = 0.
-11, -2, 1
Let -a**5 - 11*a**4 - 6*a**3 + 158*a**2 + 7*a - 147 = 0. What is a?
-7, -1, 1, 3
Suppose -12*z**3 - 148*z**2 + 272*z - 112 = 0. Calculate z.
-14, 2/3, 1
What is x in -x**3 - 13*x**2 - 44*x - 32 = 0?
-8, -4, -1
Determine t so that 3*t**2 - 4068*t + 4065 = 0.
1, 1355
What is y in 2*y**2/7 + 40*y/7 + 38/7 = 0?
-19, -1
Find a such that -5*a**2 + 830*a - 1640 = 0.
2, 164
Factor -f**2 + 12*f + 28.
-(f - 14)*(f + 2)
Factor 2*r**4/3 - 2*r**3 - 32*r**2/3 - 8*r.
2*r*(r - 6)*(r + 1)*(r + 2)/3
Solve 4*w**4 + 196*w**3 + 2908*w**2 + 11004*w - 14112 = 0.
-21, -8, 1
Factor c**3/3 + 1633*c**2/3 - c/3 - 1633/3.
(c - 1)*(c + 1)*(c + 1633)/3
Find i, given that 4*i**3 - 156*i**2 + 152*i = 0.
0, 1, 38
Solve -8*j**5 + 16*j**4 + 6*j**3 - 18*j**2 = 0 for j.
-1, 0, 3/2
Factor -2*p**4/7 - 18*p**3/7 + 2*p**2/7 + 18*p/7.
-2*p*(p - 1)*(p + 1)*(p + 9)/7
Let 6*d**5 + 795*d**4 + 1182*d**3 + 393*d**2 = 0. Calculate d.
-131, -1, -1/2, 0
Factor -w**4/7 + 31*w**3/7 + 33*w**2/7 - 31*w/7 - 32/7.
-(w - 32)*(w - 1)*(w + 1)**2/7
Factor -2*b**3/3 - 82*b**2 - 2480*b + 7688/3.
-2*(b - 1)*(b + 62)**2/3
Factor 3*j**3/2 - 18*j**2 - 27*j/2 + 330.
3*(j - 11)*(j - 5)*(j + 4)/2
Determine k so that 6*k**5/11 + 58*k**4/11 + 42*k**3/11 - 282*k**2/11 + 16*k = 0.
-8, -11/3, 0, 1
Factor -b**2 + 57*b - 110.
-(b - 55)*(b - 2)
What is n in -n**3 - 73*n**2 - 732*n = 0?
-61, -12, 0
Solve -f**4/6 + f**3/2 + f**2/6 - f/2 = 0.
-1, 0, 1, 3
Determine k so that -6*k**2/7 - 22*k = 0.
-77/3, 0
Factor -4*p**2/9 + 856*p/9 + 192.
-4*(p - 216)*(p + 2)/9
Find t such that -3*t**3 + 6*t**2 = 0.
0, 2
Solve 5*k**4 + 130*k**3 + 465*k**2 + 560*k + 220 = 0 for k.
-22, -2, -1
Factor -2*z**2/17 - 4*z/17 + 6/17.
-2*(z - 1)*(z + 3)/17
Factor n**4/2 + 7*n**3/2 + 3*n**2 - 14*n - 20.
(n - 2)*(n + 2)**2*(n + 5)/2
Factor -j**3 + 6*j**2 + 31*j - 36.
-(j - 9)*(j - 1)*(j + 4)
Let d**4 - 102*d**3 + 2161*d**2 + 22440*d + 48400 = 0. Calculate d.
-4, 55
Factor -f**2/2 - 98*f - 4802.
-(f + 98)**2/2
Let 105*l**2 - 312*l - 9 = 0. Calculate l.
-1/35, 3
Suppose 2*q**4 - 16*q**3 - 114*q**2 - 200*q - 104 = 0. Calculate q.
-2, -1, 13
Determine u so that -20*u**5 - 348*u**4 + 216*u**3 = 0.
-18, 0, 3/5
Suppose -4*l**4/3 + 272*l**3/3 - 4012*l**2/3 - 7392*l + 8640 = 0. What is l?
-5, 1, 36
Solve -q**3 + 3096*q**2 - 3195072*q + 1099104768 = 0.
1032
Factor 120*z**2/11 + 102*z/11 + 18/11.
6*(4*z + 1)*(5*z + 3)/11
Find x such that x**3 + 1267*x**2 - 5080*x + 5084 = 0.
-1271, 2
Factor -2*v**4 + 3*v**3 + 7*v**2 - 3*v - 5.
-(v - 1)*(v + 1)**2*(2*v - 5)
Find l such that -2*l**5/11 + 128*l**4/11 + 12*l**3 - 128*l**2/11 - 130*l/11 = 0.
-1, 0, 1, 65
What is t in -4*t**3/5 + 48*t**2/5 + 4*t/5 - 48/5 = 0?
-1, 1, 12
Find p, given that p**2 + 117*p = 0.
-117, 0
Factor 10*w**2/9 - 4*w/9.
2*w*(5*w - 2)/9
Suppose -17*t**3 + 686*t**2 - 7040*t + 2400 = 0. What is t?
6/17, 20
Let 2*u**3/5 + 86*u**2/5 + 16*u - 168/5 = 0. Calculate u.
-42, -2, 1
What is h in 4*h**2/3 + 8*h + 20/3 = 0?
-5, -1
Factor -81*o**2/8 - 1197*o/2 - 17689/2.
-(9*o + 266)**2/8
Factor 2*y**2/7 + 524*y/7 + 34322/7.
2*(y + 131)**2/7
Determine j so that 4*j**3/3 - 4114*j**2/3 + 6158*j/3 + 4108/3 = 0.
-1/2, 2, 1027
Factor -l**2/6 + l/6 + 1/3.
-(l - 2)*(l + 1)/6
Factor -74*f**2 - 4*f.
-2*f*(37*f + 2)
Solve 34*o**2/5 - 1552*o/5 - 552/5 = 0 for o.
-6/17, 46
Factor c**3/5 - 6*c**2/5 - 3*c - 8/5.
(c - 8)*(c + 1)**2/5
Solve