+ 1)*(7*k - 3)
Suppose 2*a**3/3 - 11534*a**2/3 + 15370*a - 11526 = 0. What is a?
1, 3, 5763
Factor -2*v**5/17 - 20936*v**4/17 + 62820*v**3/17 - 62824*v**2/17 + 20942*v/17.
-2*v*(v - 1)**3*(v + 10471)/17
Factor 2*b**3 - 12014*b**2 + 16944862*b + 3343998350.
2*(b - 3091)**2*(b + 175)
Factor 4*i**3 - 773*i**2 + 4681*i - 1122.
(i - 187)*(i - 6)*(4*i - 1)
Let 2*h**2/3 - 700*h/3 - 90016 = 0. What is h?
-232, 582
Find w, given that 4*w**2 + 179612*w = 0.
-44903, 0
Factor -3*q**3/8 - 159*q**2/8 - 1677*q/8 - 1521/8.
-3*(q + 1)*(q + 13)*(q + 39)/8
Suppose 76*z**5 - 3502*z**4 + 36680*z**3 + 622*z**2 - 36756*z + 2880 = 0. Calculate z.
-1, 3/38, 1, 16, 30
Factor -p**2 + 13140*p - 43164900.
-(p - 6570)**2
Find s, given that -2*s**3/19 + 503836*s**2/19 - 2015320*s/19 + 2015312/19 = 0.
2, 251914
Factor 2*f**2/5 - 2058*f/5 - 377784/5.
2*(f - 1188)*(f + 159)/5
Let u**4/4 + 488*u**3 + 971847*u**2/4 + 4690413*u + 11897739 = 0. What is u?
-966, -17, -3
Solve -3*d**4/7 - 18624*d**3/7 - 28904448*d**2/7 = 0 for d.
-3104, 0
Find h, given that 2*h**4 + 4*h**3 - 534*h**2 - 3096*h - 4536 = 0.
-14, -3, 18
Find z such that -z**3/2 - z**2/2 + z = 0.
-2, 0, 1
Factor 3*y**2 + 310122*y + 8014637907.
3*(y + 51687)**2
What is v in -3*v**3 - 27765*v**2 - 64421361*v - 832791999 = 0?
-4621, -13
Solve -2*v**2/3 + 97900*v + 293706 = 0.
-3, 146853
Let -3*h**5/5 - 15*h**4 - 297*h**3/5 + 2499*h**2/5 + 5604*h/5 + 576 = 0. What is h?
-16, -12, -1, 5
Let 4*n**3 - 9572*n**2 + 5673440*n + 63571376 = 0. Calculate n.
-11, 1202
Factor -k**3 - 552*k**2 + 1663*k - 1110.
-(k - 2)*(k - 1)*(k + 555)
Factor v**4 + 179*v**3 + 1538*v**2 + 1360*v.
v*(v + 1)*(v + 8)*(v + 170)
Factor -2*g**3 + 30*g**2 + 872*g + 840.
-2*(g - 30)*(g + 1)*(g + 14)
Suppose 2*i**5/11 + 4*i**4 - 100*i**3/11 - 1080*i**2/11 + 3618*i/11 - 2484/11 = 0. What is i?
-23, -6, 1, 3
Determine q so that 3*q**2 + 3849810*q + 1235086419675 = 0.
-641635
Let -4*h**3 - 4716*h**2 + 9444*h - 4724 = 0. What is h?
-1181, 1
Suppose 3*j**4/5 + 6726*j**3/5 + 20148*j**2/5 - 6726*j/5 - 20151/5 = 0. What is j?
-2239, -3, -1, 1
Let 3*n**3 + 483*n**2 + 16317*n + 157437 = 0. What is n?
-119, -21
Let -2*k**2/7 - 17146*k/7 + 102948/7 = 0. Calculate k.
-8579, 6
Factor 3*f**3/2 - 15681*f**2/2 + 20498985*f/2 - 20483307/2.
3*(f - 2613)**2*(f - 1)/2
Factor 3*q**4/2 + 2115*q**3 + 945666*q**2 + 109209693*q - 22372075719/2.
3*(q - 63)*(q + 491)**3/2
What is d in 112*d**5 + 121*d**4 - 5144*d**3 + 8545*d**2 + 766*d - 80 = 0?
-8, -1/7, 1/16, 2, 5
Factor -5*q**2 - 17890*q - 1210605.
-5*(q + 69)*(q + 3509)
Find o such that 5*o**2 - 585*o - 3050 = 0.
-5, 122
Suppose -5*d**4 + 1245*d**3 + 89175*d**2 - 43416625*d + 2835221250 = 0. Calculate d.
-186, 145
Factor -15*p**3 - 9*p**2 + 132*p - 108.
-3*(p - 2)*(p - 1)*(5*p + 18)
Factor -3*i**2 + 1389*i + 1392.
-3*(i - 464)*(i + 1)
Factor 216885*c**2 + 433790*c + 40.
5*(c + 2)*(43377*c + 4)
Find z, given that 2*z**4/15 - 108*z**3/5 + 434*z**2/3 = 0.
0, 7, 155
Let 2*b**4/17 - 11518*b**3/17 + 16531124*b**2/17 + 149506560*b/17 + 299428416/17 = 0. What is b?
-6, -3, 2884
Let -2*h**4 + 322*h**3 - 13864*h**2 + 160256*h + 614400 = 0. Calculate h.
-3, 32, 100
Let 5*r**4 - 31*r**3 + 6*r**2 = 0. Calculate r.
0, 1/5, 6
Factor -186*x**2 - 1502*x - 480.
-2*(3*x + 1)*(31*x + 240)
Find s such that -s**2/5 - 9231*s = 0.
-46155, 0
Factor -4*t**2 + 712*t + 2912.
-4*(t - 182)*(t + 4)
What is w in -w**5 + 984*w**4 - 254897*w**3 + 6059122*w**2 + 80203620*w + 217059800 = 0?
-5, 38, 478
Suppose q**3 - 2022*q**2 + 2015*q + 12126 = 0. What is q?
-2, 3, 2021
Determine d, given that 2*d**3/9 + 38*d**2/9 + 160*d/9 - 200/9 = 0.
-10, 1
Find n such that 156*n**4 - 15832*n**3 + 85348*n**2/3 - 14368*n + 4784/3 = 0.
2/13, 2/3, 1, 299/3
What is p in -p**4/6 - 95*p**3 + 1274*p**2 + 18973*p/3 + 9911/2 = 0?
-583, -3, -1, 17
Factor -4*g**2 + 48344*g + 193440.
-4*(g - 12090)*(g + 4)
Factor 6*x**2/5 + 2436*x/5 - 53802/5.
6*(x - 21)*(x + 427)/5
Determine g so that -5*g**2 - 7980*g - 87175 = 0.
-1585, -11
Find f such that f**2 - 8313*f - 8314 = 0.
-1, 8314
Find o such that 5*o**4 + 7045*o**3 - 63690*o**2 + 170060*o - 141800 = 0.
-1418, 2, 5
Factor -3*c**2/4 - 1995*c/2 - 19875/4.
-3*(c + 5)*(c + 1325)/4
Suppose f**5/3 - 11*f**4/3 + 29*f**3/3 - f**2/3 - 14*f = 0. What is f?
-1, 0, 2, 3, 7
Factor -3*r**3/7 + 552*r**2/7 - 225*r - 9774/7.
-3*(r - 181)*(r - 6)*(r + 3)/7
Solve -18*q**5 + 3162*q**4 + 34768*q**3 - 31536*q**2 - 84640*q - 32736 = 0 for q.
-11, -2/3, 2, 186
Factor o**3/6 - 4691*o**2/3.
o**2*(o - 9382)/6
Determine s, given that -318*s**3 - 621*s**2 - 288*s + 15 = 0.
-1, 5/106
Factor 2*f**2 - 3810*f - 49868.
2*(f - 1918)*(f + 13)
Find n such that -33*n**2/2 - 19*n/2 + 26 = 0.
-52/33, 1
Factor 3*n**3 + 138*n**2 + 1557*n + 3510.
3*(n + 3)*(n + 13)*(n + 30)
What is y in 15*y**4 - 15110*y**3 + 3860035*y**2 - 27535000*y + 8750000 = 0?
1/3, 7, 500
Factor n**3 - 8113*n**2 + 16434891*n + 82377405.
(n - 4059)**2*(n + 5)
Factor -2*r**2/3 - 6992*r - 20970.
-2*(r + 3)*(r + 10485)/3
Let 4*y**4 + 1511*y**3 + 42282*y**2 + 302535*y - 78300 = 0. Calculate y.
-348, -15, 1/4
Find z such that 93*z**5/2 - 879*z**4/2 + 183*z**3/2 + 1899*z**2/2 - 648*z = 0.
-48/31, 0, 1, 9
Find o such that -10*o**3/9 - 4733*o**2/9 - 186124*o/3 + 43687 = 0.
-237, 7/10
Factor 3*n**2 + 53514*n + 238645683.
3*(n + 8919)**2
Factor -4*b**3/3 + 11704*b**2/3 - 35004*b.
-4*b*(b - 2917)*(b - 9)/3
Factor 2*c**4/11 - 606*c**3/11 - 3708*c**2/11.
2*c**2*(c - 309)*(c + 6)/11
Determine m, given that 2*m**4 - 600*m**3 - 89316*m**2 + 20147400*m + 2255098482 = 0.
-123, 273
Factor -20*d**5 - 1920*d**4 + 1935*d**3 - 485*d**2.
-5*d**2*(d + 97)*(2*d - 1)**2
Find a, given that 5*a**4 + 141285*a**3 + 847590*a**2 + 1695100*a + 1130040 = 0.
-28251, -2
Solve -c**5/4 - 87*c**4/4 - 297*c**3 + 11232*c**2 + 145152*c = 0.
-48, -12, 0, 21
Factor b**4 + 84*b**3 + 2548*b**2 + 32928*b + 153664.
(b + 14)**2*(b + 28)**2
Solve i**3/4 - 27*i**2/2 - 1191*i/4 - 284 = 0.
-16, -1, 71
What is n in -n**5/3 + 12644*n**4 - 379120*n**3 + 11371600*n**2/3 - 12634000*n = 0?
0, 10, 37902
Let 3*p**3 - 10563*p**2 + 8317041*p + 1770521271 = 0. What is p?
-173, 1847
Factor -2*h**2/5 + 1830216*h/5.
-2*h*(h - 915108)/5
Let 2*g**3/3 - 12701*g**2/3 + 6349*g/3 + 6350/3 = 0. Calculate g.
-1/2, 1, 6350
Factor z**3/2 - 12273*z**2/2 + 36801*z.
z*(z - 12267)*(z - 6)/2
Find g such that -4*g**5/3 - 18*g**4 + 1958*g**3 + 8986*g**2/3 - 2954*g - 1980 = 0.
-45, -2, -1/2, 1, 33
Determine r, given that 5*r**2 + 53945*r + 53940 = 0.
-10788, -1
Factor 5*w**2 - 22935*w + 45850.
5*(w - 4585)*(w - 2)
Suppose -f**2/3 - 38350*f - 1103041875 = 0. Calculate f.
-57525
Find s, given that -2*s**5 + 796*s**4/9 + 7042*s**3/9 + 12436*s**2/9 - 1040*s/3 = 0.
-5, -3, 0, 2/9, 52
Solve -2*t**2 + 5358220*t - 3588815196050 = 0 for t.
1339555
Let 3*a**5/2 - 420879*a**4 + 59047219287*a**3/2 - 59044273164*a**2 - 88568303688*a = 0. What is a?
-1, 0, 3, 140292
Find c, given that 4*c**5 - 496*c**4 + 3796*c**3 - 9816*c**2 + 8352*c = 0.
0, 2, 3, 116
Suppose -9*p**2/7 - 1389*p/7 + 5214/7 = 0. Calculate p.
-158, 11/3
Suppose -206*f**3 + 12811*f**2 - 200384*f + 37479 = 0. Calculate f.
39/206, 31
Solve j**2/4 - 243113*j/2 + 59103930769/4 = 0 for j.
243113
Factor -2*r**2/5 - 88*r/5 + 1106.
-2*(r - 35)*(r + 79)/5
Factor 2*v**2/7 + 7100*v/7 - 21318/7.
2*(v - 3)*(v + 3553)/7
Factor 21*s**3 + 579*s**2 - 2886*s + 2880.
3*(s - 3)*(s + 32)*(7*s - 10)
Determine u, given that 4*u**5/7 + 1159*u**4 + 42520*u**3/7 + 74875*u**2/7 + 48556*u/7 + 1156 = 0.
-2023, -2, -1, -1/4
Factor -n**2 - 90*n - 1664.
-(n + 26)*(n + 64)
Determine x, given that x**3/6 + 61*x**2/6 + 584*x/3 + 1160 = 0.
-29, -20, -12
Factor p**2/7 - 3468*p.
p*(p - 24276)/7
Determine x, given that x**4 + 1393*x**3 - 1394*x**2 = 0.
-1394, 0, 1
Suppose -8*c**3/3 + 371818*c**2/3 - 464762*c/3 + 30984 = 0. What is c?
1/4, 1, 46476
Factor 2*k**2/9 - 2642*k/9 + 28620.
2*(k - 1215)*(k - 106)/9
Let -3*h**3/7 + 477*h**2/7 + 8283*h/7 + 2925 = 0. What is h?
-13, -3, 175
Determine v so that 3*v**5 + 213*v**4 + 3582*v**3 + 16986*v**2 - 3585*v - 17199 = 0.
-49, -13, -9, -1, 1
Let 4*r**3 - 52256*r**2 - 209072*r - 209088 = 0. What is r?
-2, 13068
Factor -b**2/5 - 102061*b/5 + 102062/5.
-(b - 1)*(b + 102062)/5
Determine m, given that 64*m**3/3 + 2363920*m**2/3 - 590989*m + 110811 = 