7.
-2*(h - 9)*(h + 359284)/7
Factor 2*r**2/3 - 779316*r + 79487920/3.
2*(r - 1168940)*(r - 34)/3
Factor 2*c**3/13 - 7300492*c**2/13 + 116807488*c/13 - 467229440/13.
2*(c - 3650230)*(c - 8)**2/13
Let -4*g**2/7 - 1994364*g/7 = 0. What is g?
-498591, 0
Factor 3*m**2 - 64720020*m + 129440028.
3*(m - 21573338)*(m - 2)
Let -318*g**4/11 + 37028*g**3/11 - 89062*g**2/11 + 68312*g/11 - 15960/11 = 0. Calculate g.
70/159, 1, 114
Let 45*i**5 - 16985*i**4 + 1597975*i**3 + 900585*i**2 - 714420*i = 0. What is i?
-1, 0, 4/9, 189
Let 4*u**2 + 7099744*u + 7099740 = 0. Calculate u.
-1774935, -1
Suppose -4*a**4 + 59268*a**3 - 71409308*a**2 + 22440476220*a + 22511944800 = 0. What is a?
-1, 645, 13528
Factor -4*s**3 - 69978512*s**2 - 306062008858384*s.
-4*s*(s + 8747314)**2
Solve 4*l**5 + 385*l**4 + 6624*l**3 - 22222*l**2 + 23012*l - 7803 = 0.
-289/4, -27, 1
Let 5*p**5/4 + 3295*p**4/2 + 288755*p**3/2 + 2425660*p**2 + 53365005*p/4 + 36217125/2 = 0. What is p?
-1225, -73, -9, -2
Factor -3*n**3/4 - 3927*n**2 - 463140*n - 13813200.
-3*(n + 60)**2*(n + 5116)/4
Let 3*d**3 - 309906*d**2 - 7439040*d - 44636832 = 0. Calculate d.
-12, 103326
Let -5*f**4/4 - 39595*f**3/4 + 615505*f**2/2 - 2464025*f + 3776250 = 0. Calculate f.
-7950, 2, 10, 19
Solve -r**4/3 + 292*r**3/3 - 1789*r**2 - 19948*r/3 + 25024/3 = 0.
-4, 1, 23, 272
Let i**3/5 + 2898293*i**2/5 + 420004825863*i - 2100027027609/5 = 0. Calculate i.
-1449147, 1
Factor 2*z**2/19 + 18656*z/19 + 14045304/19.
2*(z + 826)*(z + 8502)/19
Factor 5*d**3 + 2196070*d**2 + 241147152220*d + 2411251920200.
5*(d + 10)*(d + 219602)**2
Find b such that 4*b**2 + 243101808*b + 3693655565804304 = 0.
-30387726
Find d such that -48*d**4/19 + 7198*d**3/19 - 265764*d**2/19 + 2336402*d/19 + 5148 = 0.
-1/24, 13, 38, 99
Determine v so that 3*v**2/5 - 975*v + 391500 = 0.
725, 900
Determine i, given that 408783*i**2/5 + 8175651*i/5 - 36 = 0.
-20, 3/136261
Factor 3*x**4/4 + 536836077*x**3/4 + 1610508213*x**2/4 + 1610508207*x/4 + 134209017.
3*(x + 1)**3*(x + 178945356)/4
Find o such that 2*o**5/7 - 236*o**4/7 + 682*o**3/7 + 920*o**2/7 = 0.
-1, 0, 4, 115
Factor 62*a**3 + 894*a**2 - 2168*a - 9600.
2*(a - 4)*(a + 16)*(31*a + 75)
Find c such that 3*c**4 + 354*c**3 - 29928*c**2 - 2578944*c = 0.
-146, -64, 0, 92
Determine w, given that 5*w**5 - 6260*w**4 + 61320*w**3 + 979360*w**2 - 13193200*w + 34776000 = 0.
-14, 4, 10, 1242
Factor 5*n**2/3 + 1074986*n/3 + 214997/3.
(n + 214997)*(5*n + 1)/3
Determine z, given that z**3/6 - 26755*z**2 + 963118*z/3 - 535060 = 0.
2, 10, 160518
Solve 2*o**3/5 - 950*o**2 - 63440*o = 0.
-65, 0, 2440
Factor 5*j**3 - 34175*j**2 + 715570*j - 681400.
5*(j - 6814)*(j - 20)*(j - 1)
Factor 2*m**2/17 + 508*m/17 - 134784/17.
2*(m - 162)*(m + 416)/17
Determine f, given that 2*f**4/11 + 4508*f**3/11 - 1197120*f**2/11 = 0.
-2494, 0, 240
Determine m so that -2*m**2/7 - 595384*m/7 + 1531080 = 0.
-297710, 18
Find k such that -k**3/2 + 2861*k**2/2 - 32667*k + 85140 = 0.
3, 20, 2838
Factor 2*i**3 + 964*i**2 + 37120*i + 70400.
2*(i + 2)*(i + 40)*(i + 440)
Determine o so that o**4 + 887*o**3 + 61709*o**2 + 59053*o - 121650 = 0.
-811, -75, -2, 1
Factor c**2/4 - 8775123*c + 77002783665129.
(c - 17550246)**2/4
Suppose 4*i**4 + 2272*i**3 - 13776*i**2 + 128*i + 73472 = 0. Calculate i.
-574, -2, 4
Solve 2*z**3 - 110068*z**2 + 61120942*z - 121801628 = 0.
2, 559, 54473
Suppose -6*c**5/13 + 32692*c**4/13 + 1028354*c**3/13 + 10328912*c**2/13 + 34894720*c/13 + 10521600/13 = 0. What is c?
-15, -8, -1/3, 5480
Let -2*k**2 - 41420568*k - 214457931680328 = 0. What is k?
-10355142
Let 297792*o**5/5 - 44824*o**4/5 + 982*o**3/5 - 4*o**2/5 = 0. What is o?
0, 1/188, 2/99, 1/8
Find v such that v**2/4 - 13673437*v/4 - 10255080 = 0.
-3, 13673440
Solve -3*f**5/2 - 13335*f**4/8 - 2654157*f**3/8 + 16298703*f**2/4 - 23230179*f/2 - 3163617 = 0.
-846, -277, -1/4, 6
Factor 3*o**2/4 + 17985*o/4 + 152439/2.
3*(o + 17)*(o + 5978)/4
Solve -5*b**4 - 39135*b**3 + 3443475*b**2 + 7004335*b + 3521730 = 0.
-7914, -1, 89
Suppose 296390*d**2 + 86098*d + 5364 = 0. What is d?
-1/5, -2682/29639
Determine m so that -2*m**2/7 + 16036*m/7 + 1459440/7 = 0.
-90, 8108
Let 2*w**2/17 + 6388*w/17 - 12912 = 0. Calculate w.
-3228, 34
Let 3*i**4 + 105*i**3 - 56397*i**2 + 3254295*i - 53306550 = 0. What is i?
-178, 33, 55
Find y such that -2*y**4/5 - 11185968*y**3/5 - 15640723826156*y**2/5 + 31281481210224*y/5 - 15640746198098/5 = 0.
-2796493, 1
Suppose -2*o**4/11 + 22562*o**3/11 + 12892526*o**2/11 - 25852730*o/11 + 12937644/11 = 0. Calculate o.
-547, 1, 11826
Determine g, given that -3*g**2/4 + 114098697*g/2 - 4339504219032603/4 = 0.
38032899
Determine j, given that j**5/3 - 12814*j**4/3 + 817024*j**3/3 - 4352000*j**2 = 0.
0, 32, 12750
Find a, given that 3*a**5 - 20079*a**4 + 44325312*a**3 - 31202167080*a**2 - 2364329891952*a - 4603496191728 = 0.
-67, -2, 2254
Find z, given that -5*z**4/4 - 2975*z**3/4 - 20455*z**2/2 - 34860*z = 0.
-581, -8, -6, 0
Find j, given that -j**3 + 16930*j**2 + 389943*j - 406872 = 0.
-24, 1, 16953
Factor -2*o**3/3 + 1461470*o**2/3.
-2*o**2*(o - 730735)/3
What is v in -3*v**4 + 210492*v**3 - 3700226529*v**2 + 280048729224*v - 806849831952 = 0?
3, 73, 35044
What is k in 4*k**2 - 73889000*k + 341224020062500 = 0?
9236125
Find m such that 3*m**5/5 + 21972*m**4/5 + 983508*m**3/5 + 6137934*m**2/5 + 12644649*m/5 + 7468254/5 = 0.
-7279, -38, -3, -1
What is g in -24*g**2 + 8572*g + 2635140 = 0?
-1187/6, 555
Solve -g**2 - 25166*g - 142275840 = 0.
-16590, -8576
Factor 2*z**3/3 - 2225606*z**2/3 + 619170822382*z/3 - 3095798472010/3.
2*(z - 556399)**2*(z - 5)/3
Find q such that -4*q**5 + 78052*q**4 - 2416504*q**3 + 14340336*q**2 - 30860640*q + 22443264 = 0.
2, 3, 24, 19482
Factor a**2/4 + 6949841*a + 27799360.
(a + 4)*(a + 27799360)/4
Factor 1282690*a**3 + 3848064*a**2 - 18*a.
2*a*(a + 3)*(641345*a - 3)
Suppose -d**5 - 894*d**4 - 55697*d**3 - 236828*d**2 + 1113804*d - 820384 = 0. Calculate d.
-827, -62, -8, 1, 2
Factor -5*z**5 + 43225*z**4 + 43999000*z**3.
-5*z**3*(z - 9565)*(z + 920)
Let -5*c**2 - 653840*c - 160542060 = 0. What is c?
-130522, -246
Factor -d**2/11 - 13285*d/11 + 2697000/11.
-(d - 200)*(d + 13485)/11
Solve -4*u**3/5 + 1516*u**2 - 239232*u/5 + 1430784/5 = 0.
8, 24, 1863
Suppose -2*n**2 - 81278946*n - 81278944 = 0. Calculate n.
-40639472, -1
Determine z, given that -14*z**5 + 54190*z**4 - 58050986*z**3 - 2743420526*z**2 + 22707842516128*z + 6488177602984 = 0.
-518, -2/7, 1463
Solve 3*m**4 - 537*m**3 - 3351*m**2 + 3885*m = 0 for m.
-7, 0, 1, 185
Factor -l**3 - 339*l**2 - 25280*l - 364800.
-(l + 19)*(l + 80)*(l + 240)
Find r such that 2*r**2/11 - 2710*r/11 - 394592 = 0.
-944, 2299
Determine m so that 2*m**2/13 - 4686200*m/13 + 4686198/13 = 0.
1, 2343099
Solve -2*t**3/9 + 73040*t**2/9 + 73058*t = 0 for t.
-9, 0, 36529
Factor 4*i**2 + 5055868*i - 10111752.
4*(i - 2)*(i + 1263969)
Suppose -2*i**5/5 + 18*i**4 + 2022*i**3 - 154570*i**2 + 3167004*i - 69472368/5 = 0. Calculate i.
-84, 6, 41
Solve 30*f**4 - 18755*f**3 - 917055*f**2 - 10960305*f - 3552235 = 0 for f.
-23, -1/3, 1343/2
Factor 5*m**3 - 5855*m**2 - 2663505*m + 2669355.
5*(m - 1521)*(m - 1)*(m + 351)
Let -27*f**3/2 + 746713233*f**2 - 995617626*f + 331872540 = 0. Calculate f.
2/3, 55312090
Determine f so that -5*f**2 - 1047907800*f - 54905537865042000 = 0.
-104790780
Solve -q**5/4 + 63*q**4/4 - 170*q**3 - 1130*q**2 - 1956*q - 1012 = 0 for q.
-2, -1, 22, 46
Factor 4*n**3 - 19492840*n**2 + 23748175704100*n.
4*n*(n - 2436605)**2
Determine g so that -3*g**5/7 + 330552*g**4/7 + 5289411*g**3/7 + 20827848*g**2/7 - 5289408*g/7 - 21158400/7 = 0.
-8, -1, 1, 110200
Find p such that 5*p**2/2 - 85425*p/2 - 38675785 = 0.
-862, 17947
What is o in -2*o**5 - 2128*o**4 + 6416*o**3 + 14884*o**2 - 57582*o + 38412 = 0?
-1067, -3, 1, 2, 3
Solve -v**2 - 127480990*v - 4062850702845025 = 0.
-63740495
Find f such that 3*f**4/5 + 50769*f**3/5 - 5671668*f**2/5 + 11140236*f/5 = 0.
-17034, 0, 2, 109
Determine z, given that -z**2/5 - 167264*z/5 + 334532/5 = 0.
-167266, 2
Factor 12*q**4 - 78563*q**3 + 130178554*q**2 - 5195766419*q.
q*(q - 3253)**2*(12*q - 491)
Suppose b**3 + 52005*b**2 + 9129648*b + 401363776 = 0. Calculate b.
-51829, -88
Suppose -2*v**5/3 - 2540*v**4/3 + 345334*v**3/3 + 243794280*v**2 - 55275265944*v = 0. Calculate v.
-941, 0, 306
Let -2211*j