 57.
-(q - 57)*(q + 1)*(q + 2)/2
What is t in 4*t**3/3 - 172*t**2 + 984*t = 0?
0, 6, 123
Suppose -2*h**4/7 + 24*h**3/7 + 26*h**2/7 = 0. Calculate h.
-1, 0, 13
Factor 2*j**4/11 + 6*j**3/11 - 18*j**2/11 + 10*j/11.
2*j*(j - 1)**2*(j + 5)/11
Let -d**5 + 7*d**4 - 11*d**3 - 19*d**2 + 60*d - 36 = 0. What is d?
-2, 1, 2, 3
Factor a**5/6 + 122*a**4/3 + 15125*a**3/6 + 14641*a**2/3.
a**2*(a + 2)*(a + 121)**2/6
Suppose t**3/5 - 2*t**2/5 - t/5 + 2/5 = 0. What is t?
-1, 1, 2
Let h**2 - 130*h + 129 = 0. What is h?
1, 129
Let -3*j**4/7 + 3*j**3 + 432*j**2/7 = 0. What is j?
-9, 0, 16
Let -4*j**5/7 + 2*j**4/7 + 2*j**3 - 2*j**2 - 2*j/7 + 4/7 = 0. Calculate j.
-2, -1/2, 1
Factor 3*s**3/5 - 81*s**2/5 + 393*s/5 - 63.
3*(s - 21)*(s - 5)*(s - 1)/5
What is w in -2*w**2/5 + 5772*w/5 - 1154 = 0?
1, 2885
Solve -2*f**2/11 - 304*f/11 - 11552/11 = 0.
-76
Find d such that 4*d**5 + 160*d**4 + 1332*d**3 - 7560*d**2 - 42336*d = 0.
-21, -4, 0, 6
Let -5*x**5/4 - 5*x**4 - 5*x**3/2 + 5*x**2 + 15*x/4 = 0. Calculate x.
-3, -1, 0, 1
Factor 3*o**2 - 198*o + 384.
3*(o - 64)*(o - 2)
Find l such that 15*l**5 - 66*l**4 + 72*l**3 + 30*l**2 - 87*l + 36 = 0.
-1, 1, 12/5
Find t such that -t**2/3 + 32*t/3 - 20 = 0.
2, 30
Solve 2*l**2/5 + 202*l/5 + 2856/5 = 0 for l.
-84, -17
Let -3*j**2 + 285*j = 0. Calculate j.
0, 95
Determine v so that -2*v**2/5 - 74*v/5 - 132 = 0.
-22, -15
Find o, given that -3*o**2/4 + 87*o/4 + 255/2 = 0.
-5, 34
Find m such that -565*m**2 - 550*m + 15 = 0.
-1, 3/113
Find d, given that -2*d**3 - 1524*d**2 - 387096*d - 32774128 = 0.
-254
Factor 2*j**5/3 + 1244*j**4/3 + 195914*j**3/3 + 256264*j**2 + 254616*j.
2*j*(j + 2)**2*(j + 309)**2/3
Factor 3*i**3 - 10*i**2 - 51*i + 18.
(i - 6)*(i + 3)*(3*i - 1)
Let 3*u**5/4 + 27*u**4/4 + 15*u**3 = 0. Calculate u.
-5, -4, 0
Determine p so that -2*p**3 - 14*p**2 + 56*p - 40 = 0.
-10, 1, 2
Factor 15*g**3/2 + 12*g**2 - 57*g/2 + 9.
3*(g - 1)*(g + 3)*(5*g - 2)/2
Factor -2*i**3 - 20*i**2 + 2*i + 20.
-2*(i - 1)*(i + 1)*(i + 10)
Factor -4*m**4 - 188*m**3 + 796*m**2 - 1012*m + 408.
-4*(m - 2)*(m - 1)**2*(m + 51)
Find s, given that s**3/8 - 17*s**2/4 - 71*s/8 - 9/2 = 0.
-1, 36
Factor -3*q**2/5 + 12933*q/5.
-3*q*(q - 4311)/5
Suppose -4*d**4 - 244*d**3 - 1772*d**2 - 4076*d - 2544 = 0. What is d?
-53, -4, -3, -1
Let -2*u**5/3 + 4*u**4 - 8*u**3 + 20*u**2/3 - 2*u = 0. What is u?
0, 1, 3
Suppose 2*x**2 + 240*x + 7200 = 0. What is x?
-60
Factor 5*n**3/4 + 1375*n**2/4 - 5*n/4 - 1375/4.
5*(n - 1)*(n + 1)*(n + 275)/4
Let 14*g**5 - 2458*g**4/9 + 122*g**3 + 2306*g**2/9 - 136*g + 152/9 = 0. What is g?
-1, 2/9, 2/7, 1, 19
Factor -2*u**3/9 + 26*u**2/9 - 46*u/9 + 22/9.
-2*(u - 11)*(u - 1)**2/9
Factor -t**3/6 + 25*t**2/6.
-t**2*(t - 25)/6
Determine c, given that -c**5/2 - 5*c**4 - 2*c**3 + 95*c**2 + 325*c/2 - 250 = 0.
-5, 1, 4
Suppose 108*m**5 + 1404*m**4 + 6840*m**3 + 15224*m**2 + 15004*m + 5324 = 0. Calculate m.
-11/3, -1
Let j**4 - 438*j**3/5 + 4329*j**2/5 + 254612*j/5 + 101124/5 = 0. Calculate j.
-18, -2/5, 53
Determine u so that 3*u**3/2 - 9*u**2 + 33*u/2 - 9 = 0.
1, 2, 3
Let -4*u**2 + 168*u - 1760 = 0. Calculate u.
20, 22
Find t such that 2*t**3/11 + 32*t**2/11 + 128*t/11 = 0.
-8, 0
Factor 2*t**4/11 - 8*t**2/11.
2*t**2*(t - 2)*(t + 2)/11
Factor 3*m**3/2 + 237*m**2 - 1905*m/8 + 477/8.
3*(m + 159)*(2*m - 1)**2/8
Determine i, given that i**3/4 + 45*i**2/4 + 108*i - 432 = 0.
-24, 3
Factor 3*s**5 - 15*s**4 - 147*s**3 + 735*s**2.
3*s**2*(s - 7)*(s - 5)*(s + 7)
Determine u so that 9*u**5/2 - 5487*u**4/2 + 549723*u**3 - 34571538*u**2 - 326290404*u - 104901792 = 0.
-8, -1/3, 206
Solve 6*i**5 - 82*i**4/7 + 6*i**3/7 + 74*i**2/7 - 48*i/7 + 8/7 = 0 for i.
-1, 2/7, 2/3, 1
Suppose 5*l**2 - 110*l + 560 = 0. What is l?
8, 14
Determine c so that 2*c**5 + 767*c**4 - 5046*c**3 + 9351*c**2 - 3510*c = 0.
-390, 0, 1/2, 3
Let 2*s**3 + 1880*s**2 + 439914*s - 887364 = 0. What is s?
-471, 2
Solve 5*s**2 - 1730*s + 149645 = 0.
173
Factor -3*a**3 + 24*a**2 + 33*a - 54.
-3*(a - 9)*(a - 1)*(a + 2)
Find x, given that 5*x**5/6 + 89*x**4/3 - 277*x**3/6 - 319*x**2/3 + 514*x/3 - 148/3 = 0.
-37, -2, 2/5, 1, 2
Factor 2*s**4 + 140*s**3 - 814*s**2 - 114240*s + 1331712.
2*(s - 16)**2*(s + 51)**2
Determine k so that -5*k**5/2 - 20*k**4 - 75*k**3/2 = 0.
-5, -3, 0
Solve -3*y**2 - 300*y - 588 = 0 for y.
-98, -2
Solve -n**5 + 7*n**4 + 37*n**3 - 343*n**2 + 552*n - 252 = 0.
-7, 1, 6
Determine q, given that 5*q**5/6 + 5*q**4/6 - 65*q**3/6 - 5*q**2/6 + 40*q - 30 = 0.
-3, 1, 2
Suppose 28*v**2 - 120*v + 128 = 0. What is v?
2, 16/7
Factor -12*d**2/7 - 99*d/7 - 24/7.
-3*(d + 8)*(4*d + 1)/7
Factor 60*h**3 + 241*h**2 + 244*h + 4.
(h + 2)**2*(60*h + 1)
Find z, given that -2*z**4/11 - 48*z**3/11 + 338*z**2/11 - 648*z/11 + 360/11 = 0.
-30, 1, 2, 3
Factor -2*k**3 + 20*k**2 + 22*k.
-2*k*(k - 11)*(k + 1)
Solve -4*u**3 + 1044*u**2 - 67596*u - 68644 = 0.
-1, 131
Factor 4*w**4 + 4*w**3 - 28*w**2 - 52*w - 24.
4*(w - 3)*(w + 1)**2*(w + 2)
Suppose 6*t**5/7 + 66*t**4/7 + 288*t**3/7 + 624*t**2/7 + 96*t + 288/7 = 0. Calculate t.
-3, -2
Suppose 20*n**5 - 160*n**4 + 25*n**3 + 865*n**2 - 240*n - 1260 = 0. What is n?
-3/2, 2, 7
Factor -2*r**2 + 50*r - 288.
-2*(r - 16)*(r - 9)
Let r**5 - 20*r**4 + 144*r**3 - 464*r**2 + 688*r - 384 = 0. What is r?
2, 6, 8
Let -3*m**4 + 405*m**3 - 13047*m**2 - 42021*m - 28566 = 0. What is m?
-2, -1, 69
Factor -l**4 - 5*l**3 - 6*l**2.
-l**2*(l + 2)*(l + 3)
Find y such that 2*y**3/3 + 606*y**2 + 137410*y - 414050/3 = 0.
-455, 1
Solve -2*l**5 - 162*l**4 - 3196*l**3 + 3524*l**2 + 3198*l - 3362 = 0 for l.
-41, -1, 1
Let 5*m**5 + 65*m**4 + 185*m**3 - 205*m**2 - 730*m - 400 = 0. What is m?
-8, -5, -1, 2
Solve -3*t**4 + 69*t**3/2 - 141*t**2/2 + 27*t = 0.
0, 1/2, 2, 9
Suppose r**2/5 - 13*r - 134/5 = 0. What is r?
-2, 67
Determine l, given that -4*l**2 + 64*l - 192 = 0.
4, 12
Factor -2*x**3 - 182*x**2 + 752*x - 760.
-2*(x - 2)**2*(x + 95)
Factor -3*q**4 + 18*q**3 - 39*q**2 + 36*q - 12.
-3*(q - 2)**2*(q - 1)**2
Factor -g**4 + 13*g**3 - 23*g**2 + 11*g.
-g*(g - 11)*(g - 1)**2
Factor 3*p**5 + 12*p**4 - 81*p**3 + 114*p**2 - 48*p.
3*p*(p - 2)*(p - 1)**2*(p + 8)
Determine g, given that 46*g**5/11 - 4*g**4/11 - 138*g**3/11 - 80*g**2/11 + 8*g/11 = 0.
-1, 0, 2/23, 2
Let -2*q**2/11 + 432*q/11 - 23328/11 = 0. Calculate q.
108
Find l, given that -2*l**2/13 - 46*l/13 - 44/13 = 0.
-22, -1
Find n such that -11*n**2/5 - 3177*n/5 + 578/5 = 0.
-289, 2/11
Find v, given that -16*v**5 - 888*v**4 - 425*v**3 + 833*v**2 + 441*v + 55 = 0.
-55, -1, -1/4, 1
Factor p**3/4 - 5*p**2/2 + 25*p/4.
p*(p - 5)**2/4
Let -142*q**2/3 + 424*q/9 + 2/9 = 0. Calculate q.
-1/213, 1
Factor -3*n**3/7 + 20*n**2/7 - 12*n/7.
-n*(n - 6)*(3*n - 2)/7
Find r such that 10*r**5/9 - 22*r**4/3 + 22*r**3/3 + 82*r**2/9 - 20*r/3 = 0.
-1, 0, 3/5, 2, 5
Factor -147*p**2 - 1155*p + 342.
-3*(7*p - 2)*(7*p + 57)
Find n such that -5*n**2 + 120*n = 0.
0, 24
Determine b so that 12*b**3 + 9*b**2 - 675*b + 168 = 0.
-8, 1/4, 7
Let -2*v**4/17 - 18*v**3/17 - 30*v**2/17 - 14*v/17 = 0. Calculate v.
-7, -1, 0
Let r**3 + 751*r**2 + 1499*r + 749 = 0. What is r?
-749, -1
Solve 4*d**3/9 - 52*d**2/9 - 56*d/9 = 0.
-1, 0, 14
Suppose 2*t**4 - 6*t**3 - 36*t**2 - 8*t + 48 = 0. Calculate t.
-2, 1, 6
Determine r, given that 2*r**3/3 + 32*r**2/21 + 8*r/21 = 0.
-2, -2/7, 0
Factor q**3 - 203*q**2 + 602*q - 400.
(q - 200)*(q - 2)*(q - 1)
Solve -4*m**4 - 12*m**3 + 40*m**2 = 0.
-5, 0, 2
Find z such that 3*z**2 + 12399*z = 0.
-4133, 0
Factor -5*c**3 - 10*c**2 + 195*c - 360.
-5*(c - 3)**2*(c + 8)
Determine h, given that -4*h**2 - 64*h + 420 = 0.
-21, 5
Solve -6*h**5 - 38*h**4 - 2*h**3 + 206*h**2 + 56*h - 120 = 0 for h.
-5, -3, -1, 2/3, 2
What is d in -5*d**5 + 60*d**4 + 405*d**3 + 340*d**2 = 0?
-4, -1, 0, 17
Let -2*f**5 + 6*f**4 + 32*f**3 - 40*f**2 - 192*f - 128 = 0. Calculate f.
-2, -1, 4
Solve -84*r**4 - 165*r**3 + 12*r**2 + 12*r = 0 for r.
-2, -1/4, 0, 2/7
Suppose -16*j**3 - 3*j**2 = 0. What is j?
-3/16, 0
Factor 2*s**5 - 12*s**4 - 2*s**3 + 12*s**2.
2*s**2*(s - 6)*(s - 1)*(s + 1)
Factor -p**3 - 11*p**2 - 36*p - 36.
-(p + 2)*(p + 3)*(p + 6)
Find u, given that -3*u**5 - 3*u**4 + 15*u**3 + 15*u**2 - 12*u - 12 = 0.
-2, -1, 1, 2
Factor u**3/7 + 45*u**2/7 + 69*u - 529/7.
(u - 1)*(u + 23)**2/7
Factor 3*m**5 - 30*m**4 + 36*m**3 + 216*m**2.
3*m**2*(m - 6)**2*(m + 2)
Factor 2*k**2/17 - 14*k/17 + 24/17.
2*(k - 4