
Suppose 3*y**5 + 6090*y**4 - 67254*y**3 + 202044*y**2 - 30765*y - 306150 = 0. Calculate y.
-2041, -1, 2, 5
Solve -2*k**4/13 - 48298*k**3/13 - 289734*k**2/13 - 434574*k/13 = 0.
-24143, -3, 0
Let 2*w**4/7 - 22*w**3 - 1350*w**2/7 + 215050*w/7 - 60500 = 0. What is w?
-35, 2, 55
Factor -l**5 - 63*l**4 + 198*l**3 - 4*l**2 - 264*l.
-l*(l - 2)**2*(l + 1)*(l + 66)
Factor d**3/6 - 3617*d**2/3 + 36151*d/6 - 7229.
(d - 7229)*(d - 3)*(d - 2)/6
Determine k, given that 729*k**4 - 9342*k**3 + 11353*k**2 + 119024*k + 118336 = 0.
-43/27, 8
What is i in i**4/4 + 967*i**3 + 1872111*i**2/2 + 1869211*i + 3736489/4 = 0?
-1933, -1
Suppose -m**3 + 246*m**2 + 747*m = 0. What is m?
-3, 0, 249
Let -128*d**3/23 - 50848*d**2/23 + 38190*d/23 - 7164/23 = 0. What is d?
-398, 3/8
Factor -4*w**2/3 + 143962*w/9 + 2666.
-2*(w - 11997)*(6*w + 1)/9
Determine n so that -5*n**3/6 + 83555*n**2/6 - 13925*n = 0.
0, 1, 16710
Suppose t**3 + 703*t**2 - 3554*t - 9912 = 0. Calculate t.
-708, -2, 7
Factor 3*u**2 + 99*u - 17670.
3*(u - 62)*(u + 95)
Suppose j**4 + 766*j**3 + 196596*j**2 + 17161256*j + 65548256 = 0. What is j?
-254, -4
Find h such that -42*h**5 - 8451*h**4 + 41478*h**3 + 14691*h**2 - 29016*h + 6180 = 0.
-206, -1, 2/7, 1/2, 5
Determine b so that -117758045*b**2 - 1310310*b - 3645 = 0.
-27/4853
Find v, given that -7*v**5 + 16270*v**4 - 9440074*v**3 - 16223848*v**2 - 4062359*v + 2705138 = 0.
-1, 2/7, 1163
Factor q**2/2 - 23263*q - 46527/2.
(q - 46527)*(q + 1)/2
Find h, given that -49*h**4 - 2282*h**3 + 43923*h**2/4 - 17559*h/4 + 459 = 0.
-51, 3/14, 4
Factor 2*p**3 + 4904*p**2 + 2996320*p - 12063872.
2*(p - 4)*(p + 1228)**2
Factor -2*m**2/21 - 75136*m/7 - 2117031936/7.
-2*(m + 56352)**2/21
Factor 3*q**3 - 30*q**2 - 993*q - 3300.
3*(q - 25)*(q + 4)*(q + 11)
Factor 2*y**2/13 - 3664*y/13 - 633138/13.
2*(y - 1991)*(y + 159)/13
Let -4*m**2/7 - 855576*m/7 - 45750643236/7 = 0. What is m?
-106947
Determine a, given that -24916*a**5/5 + 6253*a**4/5 - 6*a**3/5 = 0.
0, 6/6229, 1/4
Solve 3*s**5 - 78*s**4 + 663*s**3 - 2532*s**2 + 4500*s - 3024 = 0.
2, 3, 4, 14
Factor 2*y**2/7 - 1785192*y/7 + 398363809608/7.
2*(y - 446298)**2/7
Factor -2*o**3/7 + 4058*o**2/7 + 41630*o + 734650.
-2*(o - 2099)*(o + 35)**2/7
Suppose -12*n**2/7 + 2543820*n/7 - 134812920675/7 = 0. Calculate n.
211985/2
Factor -b**2/3 - 2174*b/3 + 725.
-(b - 1)*(b + 2175)/3
What is f in 4*f**2/5 + 5504*f/5 + 1100 = 0?
-1375, -1
Factor 2*a**3/5 + 162*a**2 - 14316*a/5 + 13504/5.
2*(a - 16)*(a - 1)*(a + 422)/5
Factor 2*u**2/3 + 619906*u/3.
2*u*(u + 309953)/3
What is t in 17*t**4 + 555*t**3 + 873*t**2 + 149*t - 186 = 0?
-31, -1, 6/17
Factor 4*o**4 + 12968*o**3 - 497116*o**2 + 4736320*o.
4*o*(o - 19)**2*(o + 3280)
Suppose 3*d**5 - 111657*d**4 + 1038772974*d**3 + 3116988894*d**2 + 3117212223*d + 1039107963 = 0. What is d?
-1, 18611
Let -3*h**5/5 + 76*h**4/5 - 66*h**3 + 184*h**2/5 + 333*h/5 - 52 = 0. What is h?
-1, 1, 13/3, 20
Factor -v**2/7 - 587*v/7 - 86010/7.
-(v + 282)*(v + 305)/7
Suppose 3*u**3/2 - 6879*u**2 = 0. What is u?
0, 4586
Suppose 3*i**3/2 - 4077*i**2/2 - 24624*i - 74034 = 0. Calculate i.
-6, 1371
Suppose -f**4/4 + 7*f**3/2 - 61*f**2/4 + 21*f - 9 = 0. What is f?
1, 6
Factor -y**2/9 + 138*y + 13783/9.
-(y - 1253)*(y + 11)/9
Let 2*m**3 + 2444*m**2 + 9744*m = 0. Calculate m.
-1218, -4, 0
Let -q**4/2 - 3*q**3 + 143*q**2/2 + 228*q + 154 = 0. What is q?
-14, -2, -1, 11
Determine a, given that -3*a**4 + 2256*a**3 - 441792*a**2 + 6641664*a - 26001408 = 0.
8, 368
Factor 2*g**4/15 + 105908*g**3/5 + 4206189174*g**2/5.
2*g**2*(g + 79431)**2/15
Determine z so that z**4/2 + 5730*z**3 + 22917*z**2/2 + 5729*z = 0.
-11458, -1, 0
Factor -h**3/2 - 45*h**2 - 556*h - 1824.
-(h + 6)*(h + 8)*(h + 76)/2
Solve -q**4 - 312*q**3 - 21708*q**2 + 410656*q - 1613760 = 0 for q.
-164, 6, 10
Factor 3*j**2/4 - 9297*j + 28811403.
3*(j - 6198)**2/4
Factor -1764*n**3 - 40236*n**2 + 7712*n - 368.
-4*(n + 23)*(21*n - 2)**2
Factor -3*w**3 + 5421*w - 5418.
-3*(w - 42)*(w - 1)*(w + 43)
Suppose 3*d**2 + 1824*d + 50373 = 0. What is d?
-579, -29
Factor 4*f**5 + 2360*f**4 - 4732*f**3 + 2368*f**2.
4*f**2*(f - 1)**2*(f + 592)
Factor n**5/4 + 2607*n**4 + 6791233*n**3 - 27196224*n**2 + 27206656*n.
n*(n - 2)**2*(n + 5216)**2/4
Factor -m**3/2 - 13*m**2/2 - 47*m/2 - 35/2.
-(m + 1)*(m + 5)*(m + 7)/2
Factor 5*k**4 + 10*k**3 - 120*k**2.
5*k**2*(k - 4)*(k + 6)
Determine l, given that -2*l**2 - 170*l + 348 = 0.
-87, 2
Solve -5*y**3 + 20740*y**2 - 413300*y + 2064000 = 0.
10, 4128
Factor -169*w**4/4 + 49439*w**3 - 28933223*w**2/2 + 2224755*w - 342225/4.
-(w - 585)**2*(13*w - 1)**2/4
Solve -5*l**3 - 13105*l**2 - 8580495*l + 8593605 = 0.
-1311, 1
Let -2*s**3/3 - 790*s**2/3 + 43250*s/3 - 556250/3 = 0. What is s?
-445, 25
Determine y so that -16*y**2 - 10396*y + 10412 = 0.
-2603/4, 1
Solve -m**5/10 - 39*m**4/10 - 148*m**3/5 + 168*m**2/5 = 0 for m.
-28, -12, 0, 1
What is i in 4*i**4 + 1232*i**3 + 111192*i**2 + 1021520*i - 178919228 = 0?
-113, 31
Find l, given that l**2/4 - 1087*l/2 - 2175/4 = 0.
-1, 2175
Suppose 3*b**4 + 54*b**3 - 1656*b**2 - 44070*b - 260091 = 0. What is b?
-19, -13, 27
Find i, given that -12020*i**5/3 - 19105*i**4 - 82180*i**3/3 - 25525*i**2/3 + 3860*i + 220/3 = 0.
-2, -1, -11/601, 1/4
Solve 3*n**2 + 48006*n - 624585 = 0 for n.
-16015, 13
Factor -2*v**2/9 - 5896*v/9 + 1966/3.
-2*(v - 1)*(v + 2949)/9
Determine v so that -3*v**2/8 - 6261*v/4 + 289593/8 = 0.
-4197, 23
Find m, given that 9*m**3/5 - 24*m**2/5 - 1101*m/5 + 1116/5 = 0.
-31/3, 1, 12
Suppose -2*r**3/3 - 1184*r**2 - 166350*r - 6097500 = 0. What is r?
-1626, -75
Determine r, given that -36*r**5/5 + 10599*r**4/5 + 163764*r**3/5 - 474522*r**2/5 - 317808*r/5 - 47277/5 = 0.
-17, -1/3, -1/4, 3, 309
Factor -5*b**3/4 + 165*b**2/2 + 5375*b/4 + 4500.
-5*(b - 80)*(b + 5)*(b + 9)/4
Suppose 3*x**5 + 2034*x**4 + 338568*x**3 - 2113488*x**2 - 1354320*x + 8421408 = 0. What is x?
-342, -2, 2, 6
Solve 2*r**5 - 28*r**4 - 92*r**3 + 1504*r**2 + 2970*r - 4356 = 0.
-6, -3, 1, 11
Solve 1761*y**2 + 82749*y - 846 = 0.
-47, 6/587
Find r such that 2*r**2 + 240*r + 6142 = 0.
-83, -37
Factor 3*u**3 - 693*u**2/4 + 459*u - 1155/4.
3*(u - 55)*(u - 1)*(4*u - 7)/4
Find d, given that 4*d**4/5 + 20*d**3 - 3908*d**2/5 + 10716*d/5 = 0.
-47, 0, 3, 19
Suppose -j**3/2 + 362*j**2 + 5849*j/2 + 2562 = 0. What is j?
-7, -1, 732
Solve -2*g**4/7 + 10784*g**3/7 + 32378*g**2/7 - 43160*g/7 = 0 for g.
-4, 0, 1, 5395
Determine d, given that 2605*d**2/3 - 2*d/3 = 0.
0, 2/2605
Factor -22*c**4/7 - 398*c**3/7 + 380*c**2/7.
-2*c**2*(c + 19)*(11*c - 10)/7
Determine p, given that 9*p**3/4 + 1686*p**2 - 11259*p/4 + 2253/2 = 0.
-751, 2/3, 1
Find y such that -5*y**4 + 5830*y**3 - 1716845*y**2 + 10144200*y - 15138000 = 0.
3, 580
Find n, given that 12*n**5 + 208*n**4 - 1456*n**3 + 2456*n**2 - 668*n - 552 = 0.
-23, -1/3, 1, 2, 3
Factor u**5 + 13*u**4 + 31*u**3 - 137*u**2 - 320*u + 700.
(u - 2)**2*(u + 5)**2*(u + 7)
Determine z, given that 55*z**5/4 + 2895*z**4/4 + 20865*z**3/2 + 33070*z**2 - 136200*z + 44640 = 0.
-31, -12, 4/11, 2
Factor 5*u**3 - 2825*u**2 + 209880*u.
5*u*(u - 477)*(u - 88)
Factor 4*n**3 - 967452*n**2.
4*n**2*(n - 241863)
Factor j**2/2 - 263*j/2 - 1365.
(j - 273)*(j + 10)/2
Factor -4*u**4 - 908*u**3 + 42840*u**2 - 621712*u + 2952544.
-4*(u - 14)**3*(u + 269)
Determine k so that -5*k**3 - 335*k**2 + 1965*k + 87975 = 0.
-69, -15, 17
Factor b**4/6 - 71*b**3/2 + 106*b**2/3.
b**2*(b - 212)*(b - 1)/6
Determine m, given that 3*m**5 - 70626*m**4 + 415598688*m**3 + 831479904*m**2 = 0.
-2, 0, 11772
Factor 2*t**3/5 - 4934*t**2/5 + 88326*t/5 - 396738/5.
2*(t - 2449)*(t - 9)**2/5
Find u such that 5*u**4/4 + 171*u**3/4 + 559*u**2/4 - 17535*u/4 - 882 = 0.
-21, -1/5, 8
Find c, given that 18*c**2 + 49096*c - 120120 = 0.
-2730, 22/9
Let -8*t**5 - 156*t**4 + 11828*t**3 - 34468*t**2 + 34116*t - 11312 = 0. Calculate t.
-101/2, 1, 28
Solve -233*t**2 + 156577*t - 672 = 0 for t.
1/233, 672
Factor 15*s**2 - 5165*s - 15630.
5*(s + 3)*(3*s - 1042)
Solve 4*f**3 + 759*f**2 - 21690*f + 5375 = 0 for f.
-215, 1/4, 25
Find p, given that 6174*p**4 - 98000*p**3/9 + 19712*p**2/3 - 4352*p/3 + 512/9 = 0.
4/81, 4/7
Let y**3 + 3967*y**2 - 7937*y + 3969 = 0. Calculate y.
-3969, 1
Factor 8427*c**3/5 - 9858*c**2 - 7584*c/5 - 288/5.
3*(c - 6)*(53*c + 4)**2/5
Suppose -5*i**2 - 95*i + 1650 = 0. Calculate i