3*h - 49.
(h - 7)**2*(h - 1)
Let -4*i**3/9 - 73*i**2/9 + 142*i/9 + 40/9 = 0. Calculate i.
-20, -1/4, 2
Factor -o**2 + 64*o + 201.
-(o - 67)*(o + 3)
Suppose 4*g**2 + 12696*g + 10074276 = 0. Calculate g.
-1587
Factor 2*g**4/11 + 426*g**3/11 + 30246*g**2/11 + 715822*g/11.
2*g*(g + 71)**3/11
Factor -4*f**4 - 112*f**3 + 660*f**2.
-4*f**2*(f - 5)*(f + 33)
Suppose -688900*l**2 + 9960*l - 36 = 0. What is l?
3/415
Suppose -2*l**3/7 - 118*l**2/7 + 244*l/7 = 0. What is l?
-61, 0, 2
Factor u**5/2 - 2*u**4 - u**3 + 6*u**2 + 9*u/2.
u*(u - 3)**2*(u + 1)**2/2
Find f, given that 2*f**4/21 + 4*f**3/3 + 32*f**2/7 - 64*f/21 - 512/21 = 0.
-8, -4, 2
Factor 2*a**2/9 + 3496*a/9 + 3494/9.
2*(a + 1)*(a + 1747)/9
Solve -5*d**2/3 - 120*d + 365/3 = 0.
-73, 1
Find k, given that -k**3 - 8897*k**2 - 19784703*k + 19793601 = 0.
-4449, 1
Factor -4*r**3 - 236*r**2 - 1820*r + 53900.
-4*(r - 11)*(r + 35)**2
Factor -2*t**4/17 - 6*t**3/17 + 12*t**2/17 + 56*t/17 + 48/17.
-2*(t - 3)*(t + 2)**3/17
Factor 5*y**5 - 20*y**3 + 10*y**2 + 15*y - 10.
5*(y - 1)**3*(y + 1)*(y + 2)
Determine v so that 4*v**5 - 100*v**4 + 744*v**3 - 2384*v**2 + 3488*v - 1920 = 0.
2, 4, 15
Suppose -42*o**4/13 + 170*o**3/13 - 134*o**2/13 + 6*o/13 = 0. Calculate o.
0, 1/21, 1, 3
Factor -5*h**2/6 - 35*h/2 + 55/3.
-5*(h - 1)*(h + 22)/6
What is v in -2*v**2 - 104*v - 552 = 0?
-46, -6
Let 2*i**3/15 - 22*i**2/15 + 64*i/15 - 56/15 = 0. What is i?
2, 7
Solve -2*f**3 + 46*f**2 - 128*f - 456 = 0.
-2, 6, 19
Find w such that -2*w**3 - 374*w**2 - 10432*w - 79360 = 0.
-155, -16
Determine w so that -4*w**2/7 - 2320*w/7 - 336400/7 = 0.
-290
Suppose -p**4/4 + 3*p**3 - 29*p**2/4 + 9*p/2 = 0. What is p?
0, 1, 2, 9
Factor m**2/2 - 3*m/2 - 54.
(m - 12)*(m + 9)/2
Factor 169*a**4 - 156*a**3 - 458*a**2 + 228*a + 361.
(a + 1)**2*(13*a - 19)**2
Factor 228*g**2/7 - 220*g/7 - 8/7.
4*(g - 1)*(57*g + 2)/7
Solve -4*i**3/13 + 18*i**2/13 + 66*i/13 + 28/13 = 0.
-2, -1/2, 7
Suppose y**3 + 31*y**2 + 80*y - 112 = 0. What is y?
-28, -4, 1
Let 3*u**4 + 33*u**3 + 108*u**2 + 108*u = 0. What is u?
-6, -3, -2, 0
Factor -5*s**4 + 205*s**3 - 2200*s**2 + 2000*s.
-5*s*(s - 20)**2*(s - 1)
What is k in 4*k**3/3 - 2426*k**2/9 + 2816*k/9 - 134/3 = 0?
1/6, 1, 201
Find q, given that 8*q**2/3 + 11*q/3 - 10/3 = 0.
-2, 5/8
Let -3*o**3 - 48*o**2 - 165*o + 216 = 0. What is o?
-9, -8, 1
Solve -2*o**4/5 - 12*o**3/5 + 6*o**2 + 88*o/5 - 168/5 = 0.
-7, -3, 2
Factor 20*q**2/3 + 7816*q + 9376/3.
4*(q + 1172)*(5*q + 2)/3
Let -5*m**5 + 105*m**4 - 475*m**3 + 375*m**2 = 0. What is m?
0, 1, 5, 15
Factor -4*i**2/5 + 96*i/5 - 64.
-4*(i - 20)*(i - 4)/5
Factor -3*u**4 - 15*u**3 + 192*u**2 + 420*u.
-3*u*(u - 7)*(u + 2)*(u + 10)
Determine x so that -x**2/3 - 562*x/3 - 187 = 0.
-561, -1
Suppose -n**2/2 + 328*n - 53792 = 0. What is n?
328
Factor 3*y**4 + 2361*y**3 + 617787*y**2 + 53329299*y - 109148682.
3*(y - 2)*(y + 263)**3
What is j in 2*j**3/7 + 76*j**2 + 530*j/7 = 0?
-265, -1, 0
Factor 2*z**3/7 - 6*z**2/7 - 2*z/7 + 6/7.
2*(z - 3)*(z - 1)*(z + 1)/7
Factor -u**2/5 - 43*u + 1326/5.
-(u - 6)*(u + 221)/5
Factor -4*c**3 + 96*c**2 + 556*c + 696.
-4*(c - 29)*(c + 2)*(c + 3)
Factor u**3/5 + 938*u**2/5 + 5601*u/5 + 8388/5.
(u + 3)**2*(u + 932)/5
Suppose -5*m**2 - 315*m - 610 = 0. Calculate m.
-61, -2
Let -56*d**4 + 114*d**3 - 8*d = 0. Calculate d.
-1/4, 0, 2/7, 2
Let -5*h**2 + 1530*h - 3040 = 0. What is h?
2, 304
Factor -f**2/3 - 26*f.
-f*(f + 78)/3
Find r such that 2*r**2/5 - 66*r/5 + 324/5 = 0.
6, 27
Factor -4*a**2 - 132*a.
-4*a*(a + 33)
Factor c**3/4 + 91*c**2/2 - c/4 - 91/2.
(c - 1)*(c + 1)*(c + 182)/4
Suppose -l**3/3 + 1284*l**2 - 1648656*l + 705624768 = 0. What is l?
1284
Factor -33*r**3/4 - 519*r**2/2 + 144*r.
-3*r*(r + 32)*(11*r - 6)/4
Solve -3*b**4/8 + 21*b**3/8 - 9*b**2/4 = 0.
0, 1, 6
Factor -2*x**3/5 + 244*x**2/5 - 856*x + 4080.
-2*(x - 102)*(x - 10)**2/5
Factor o**3/2 - 197*o**2 + 393*o/2.
o*(o - 393)*(o - 1)/2
Factor -y**2 + 1029*y + 2062.
-(y - 1031)*(y + 2)
Solve -s**2/3 - 1441*s/3 + 1442/3 = 0 for s.
-1442, 1
Suppose 4*y**2/5 - 3664*y/5 + 839056/5 = 0. What is y?
458
Suppose 14*x**2 - 146*x + 132 = 0. Calculate x.
1, 66/7
Find u such that -u**4/9 - 3*u**3 - 31*u**2/9 + 55*u + 500/9 = 0.
-25, -5, -1, 4
Find t, given that -4*t**5/5 - 8*t**4/5 + 12*t**3/5 + 16*t**2/5 - 16*t/5 = 0.
-2, 0, 1
Factor 5*t**3 - 45*t**2 + 135*t - 135.
5*(t - 3)**3
Factor 14*p**3 + 232*p**2 + 1024*p + 512.
2*(p + 8)**2*(7*p + 4)
Find x such that -x**3/3 + 382*x**2/3 - 36860*x/3 + 72200/3 = 0.
2, 190
Let 8*s**4/5 + 26*s**3 + 152*s**2/5 + 6*s = 0. What is s?
-15, -1, -1/4, 0
Suppose -u**3 - 30*u**2 + 31*u = 0. What is u?
-31, 0, 1
Let -5*n**5 + 60*n**4 - 215*n**3 + 300*n**2 - 140*n = 0. What is n?
0, 1, 2, 7
Factor x**3 - 542*x**2 + 3225*x - 4824.
(x - 536)*(x - 3)**2
Factor -322*h**2 + 634*h + 20.
-2*(h - 2)*(161*h + 5)
Determine r so that 2*r**5 - 8*r**4 - 16*r**3 + 64*r**2 + 32*r - 128 = 0.
-2, 2, 4
Factor 3*l**2/2 + 48*l + 168.
3*(l + 4)*(l + 28)/2
Factor 14*s**4/3 + 46*s**3/3 + 4*s**2.
2*s**2*(s + 3)*(7*s + 2)/3
Suppose 19*r**5/2 - r**4 - 19*r**3/2 + r**2 = 0. Calculate r.
-1, 0, 2/19, 1
Suppose -3*l**2/7 - 996*l/7 - 82668/7 = 0. Calculate l.
-166
Determine a, given that -2*a**3/9 - 476*a**2/9 - 28792*a/9 - 55696/9 = 0.
-118, -2
Let 34*j**3/13 + 2348*j**2/13 - 4690*j/13 - 284/13 = 0. What is j?
-71, -1/17, 2
Let 90*d**5 - 758*d**4 + 758*d**3 + 1038*d**2 - 512*d + 56 = 0. What is d?
-1, 1/5, 2/9, 2, 7
Determine j so that -5*j**2 - 50*j + 195 = 0.
-13, 3
Solve -2*h**5/3 - 10*h**4/3 + 16*h**3 - 8*h**2/3 - 64*h/3 = 0.
-8, -1, 0, 2
What is l in -3*l**4 - 36*l**3 - 30*l**2 + 36*l + 33 = 0?
-11, -1, 1
Let -4*c**3/3 + 20*c**2 - 152*c/3 + 32 = 0. Calculate c.
1, 2, 12
Determine z so that 5*z**4 - 115*z**3 = 0.
0, 23
Factor 2*r**3 + 348*r**2 - 704*r.
2*r*(r - 2)*(r + 176)
Determine k, given that k**4/4 - 15*k**3/4 + 27*k**2/4 - 13*k/4 = 0.
0, 1, 13
Factor a**4/3 - a**2 + 2*a/3.
a*(a - 1)**2*(a + 2)/3
Solve -3*q**5 - 1068*q**4 - 126378*q**3 - 4928028*q**2 + 5055477*q = 0.
-119, 0, 1
Solve 5*r**5 - 55*r**3 + 30*r**2 + 140*r - 120 = 0.
-3, -2, 1, 2
What is o in 51*o**2/2 + 53*o/2 + 1 = 0?
-1, -2/51
Factor -2*g**3 + 16*g**2 - 34*g + 20.
-2*(g - 5)*(g - 2)*(g - 1)
Factor 3*q**2/4 + 168*q - 2043/4.
3*(q - 3)*(q + 227)/4
Find f such that -f**3/3 + 5*f**2/3 + 266*f/3 = 0.
-14, 0, 19
Suppose x**4 - x**3 - 21*x**2 + x + 20 = 0. What is x?
-4, -1, 1, 5
Factor 2*b**5/7 - 6*b**4/7 - 12*b**3/7 + 8*b**2 - 48*b/7.
2*b*(b - 2)**3*(b + 3)/7
Let 63*c**3/5 + 57*c**2/5 - 6*c/5 = 0. What is c?
-1, 0, 2/21
Factor 111*y**3 + 438*y**2 - 579*y + 30.
3*(y - 1)*(y + 5)*(37*y - 2)
Let 3*z**5/8 - 111*z**4/8 + 267*z**3/2 - 66*z**2 - 540*z + 486 = 0. What is z?
-2, 1, 2, 18
Let 3*n**3/4 + 120*n**2 + 16575*n/4 - 108375/2 = 0. Calculate n.
-85, 10
Let -4*q**3 + 92*q**2 - 89*q + 22 = 0. What is q?
1/2, 22
Solve 2*z**3/3 - 16*z**2/3 = 0.
0, 8
Factor -3*p**5 + 108*p**4 - 105*p**3.
-3*p**3*(p - 35)*(p - 1)
What is s in -2*s**2 - 15252*s - 29077938 = 0?
-3813
Factor 2*h**2/9 + 10*h/9.
2*h*(h + 5)/9
Determine p so that 2*p**5/7 - 6*p**4/7 - 10*p**3/7 + 30*p**2/7 + 8*p/7 - 24/7 = 0.
-2, -1, 1, 2, 3
Suppose 2*h**4/9 + 226*h**3/9 + 6710*h**2/9 + 6050*h/3 = 0. What is h?
-55, -3, 0
Factor 15*c**3/4 + 153*c**2/4 - 135*c/4 - 33/4.
3*(c - 1)*(c + 11)*(5*c + 1)/4
Determine i so that 65*i**5/4 + 135*i**4/2 - 155*i**3/4 - 235*i**2 - 165*i - 20 = 0.
-4, -1, -2/13, 2
Find t such that -125*t**2 - 620*t + 25 = 0.
-5, 1/25
Factor 76*l**3 + 2880*l**2 + 27132*l - 2888.
4*(l + 19)**2*(19*l - 2)
Determine h, given that 15*h**5 - 366*h**4 + 489*h**3 - 138*h**2 = 0.
0, 2/5, 1, 23
Factor -170*n**2 + 325*n + 30.
-5*(n - 2)*(34*n + 3)
Factor -v**4/4 - 5*v**3/2 - 29*v**2/4 - 8*v - 3.
-(v + 1)**2*(v + 2)*(v + 6)/4
Suppose -5*g**3 + 50*g**2 - 80*g = 0. Calculate g.
0, 2, 8
Find m, given that 3*m**5 + 3*m**4 - 12*m**3 - 12*m**2 = 0.
-2, -1, 0, 2
Factor 2*q**3/9 + 2*q**2.
2*q**2*(q + 9)/9
Factor o**3 - 6*o**2 - 7*o.
o*(o - 7)*(o + 1)
Find u such that u**3/3 + 19*u**2/3 + 31*u/3 - 17 = 0.
-17, -3, 1
Find k such that 3*k**4/8 + 543*k**3/8 + 12417*k**2/4 + 5805*k/2 - 6075 = 0.
-90, -2, 1
Suppose -2*x**4/15 + 6*x**3/5 - 26*x**2/15 - 6*x/5 + 28/15 = 0. What is x?
-1, 1, 2, 7
Factor 42*z**3/5 + 2322*z**2/5 + 132*z.
6*z*(z + 55)*(7*z + 2)/5
Solve 2*w**3 + 140*w**2 + 2584*w + 4624 = 0.