5*b**4 - 87/5*b**2 - 36/5 - 6*b**3 = 0.
-6, -2, -1
Let t be (18/10)/(6/20). Suppose 201 = t*i + 9. Factor -2 - 17*u**2 - 2 - 13*u + i*u**2 - 18*u**2.
-(u + 4)*(3*u + 1)
Suppose 0 = -4*j + 3*d - 22, -222608*j - 3*d + 70 = -222606*j. Factor 172/7*x**2 + 68/7*x**4 - 180/7*x**3 + 0 - 4/7*x**5 - j*x.
-4*x*(x - 14)*(x - 1)**3/7
Determine d so that 2416/3 + 290/3*d**3 + 3608/3*d - 2/3*d**4 + 596*d**2 = 0.
-2, 151
Let s be (((-124)/6 - 1) + 8)/((-4)/12). Let h(d) be the first derivative of -2/9*d**3 - 10/3*d - s - 2*d**2. Determine o, given that h(o) = 0.
-5, -1
What is b in -3572/7*b - 100*b**3 - 1432/7 + 4/7*b**4 - 2844/7*b**2 = 0?
-2, -1, 179
Let a(h) be the second derivative of 0*h**3 - 1/300*h**6 - 1/60*h**4 - 14*h**2 - 22*h - 1/75*h**5 + 0. Let v(w) be the first derivative of a(w). Factor v(q).
-2*q*(q + 1)**2/5
Let f(r) be the third derivative of 2*r**7/105 - 29*r**6/5 - r**5/15 + 29*r**4 + 2378*r**2. Solve f(y) = 0.
-1, 0, 1, 174
Suppose -4*a + c + 3*c - 408 = 0, 15 = 5*c. Let y be (-35)/a - (378/77 + -5). Let 8/9*d - y*d**4 + 8/9*d**2 + 2/9*d**5 + 0 - 2/3*d**3 = 0. Calculate d.
-1, 0, 2
Let r(u) be the third derivative of u**8/100800 + u**7/3600 + 11*u**5/3 + 155*u**2. Let m(k) be the third derivative of r(k). Find y such that m(y) = 0.
-7, 0
Factor -45*l**3 - 985*l + 235*l**2 + 2541*l - 1276*l.
-5*l*(l + 1)*(9*l - 56)
Let a = -22122 + 22124. Let q(h) be the second derivative of 1/10*h**6 - 11/12*h**4 + 8*h + 0 + 1/20*h**5 - 1/42*h**7 - a*h**2 + 2*h**3. Factor q(l).
-(l - 2)*(l - 1)**3*(l + 2)
Factor -14*v**4 + 0 + 1/2*v**5 + 135*v**3 + 729/2*v - 486*v**2.
v*(v - 9)**3*(v - 1)/2
Factor 1625/2 + 1635/2*w**2 + 5/2*w**3 + 3255/2*w.
5*(w + 1)**2*(w + 325)/2
Let k(o) be the third derivative of o**8/420 + 284*o**7/525 + 4897*o**6/150 - 3408*o**5/25 + 864*o**4/5 + o**2 - 48. Find y such that k(y) = 0.
-72, 0, 1
Let w(g) = g**2 + 390*g + 425. Let b(o) = -12*o**2 - 5080*o - 5524. Let x(d) = 6*b(d) + 76*w(d). Let x(v) = 0. What is v?
-1, 211
Let y be (-4600)/(-1725) - (6252/(-9))/2. Factor 2/7*o**2 - 20*o + y.
2*(o - 35)**2/7
Let h(v) be the second derivative of v**6/150 - 87*v**5/100 - 279*v**4/20 - 171*v**3/2 - 1296*v**2/5 + v - 27. Determine b, given that h(b) = 0.
-3, 96
Let x(j) = 8*j + 5. Let u be x(5). Let y(d) = -15*d - u - 3*d**2 + 5*d - 18*d. Let f(p) = 2*p**2 + 27*p + 45. Let k(i) = 2*f(i) + 3*y(i). Solve k(q) = 0.
-3
Let n = -8797 - -26396/3. Let -1/3*x**3 + 5/3*x**2 - n + 1/3*x = 0. What is x?
-1, 1, 5
Suppose -42 = -0*b - 6*b. Let 10 - 2*p - 53*p - b*p**3 + 32*p**3 + 20*p**2 = 0. What is p?
-2, 1/5, 1
Let l(i) be the second derivative of -23*i**4/66 + 278*i**3/33 - 24*i**2/11 - 10087*i. Factor l(m).
-2*(m - 12)*(23*m - 2)/11
Suppose -12*u + 72 = 36. Solve -14*c**u - 7*c - 7*c**4 - 7*c + 5*c**4 - 16 - 26*c - 36*c**2 = 0.
-2, -1
Suppose 52*j = 48*j + 36. Suppose j*r**5 + 99*r + 4*r**2 - 123*r - 15*r**4 + 56*r**2 - 30*r**3 = 0. Calculate r.
-2, 0, 2/3, 1, 2
Let t(p) be the third derivative of -p**8/448 + 11*p**7/280 - p**6/16 + 1054*p**2. Determine v so that t(v) = 0.
0, 1, 10
Let j be 8/(-12) - ((-960)/9 + 0). Let p = j - 103. Determine s so that -2*s**2 + 50/9*s**p + 20/9*s**5 + 2/9*s - 6*s**4 + 0 = 0.
0, 1/5, 1/2, 1
Let w(c) be the first derivative of 10/3*c**3 - 1/1620*c**6 + 2/27*c**4 + 6 + 0*c - 7/540*c**5 + 0*c**2. Let q(o) be the third derivative of w(o). Factor q(v).
-2*(v - 1)*(v + 8)/9
Let a(q) be the first derivative of -q**6/900 - 26*q**3/3 - 49. Let t(f) be the third derivative of a(f). Find k such that t(k) = 0.
0
Let y(h) be the third derivative of 1/455*h**7 + 0 - 5*h**2 + 8/39*h**3 - 11/390*h**5 - 7/780*h**6 + 30*h + 1/2184*h**8 + 1/26*h**4. Solve y(k) = 0 for k.
-4, -1, 1, 2
Let l = 3764 - 1136. Find b, given that 26 + b + l*b**3 - 2626*b**3 - 26*b**2 - 3*b = 0.
-1, 1, 13
Let b(v) be the second derivative of v**6/15 + 8*v**5/5 + 53*v**4/6 - 70*v**3/3 - 1913*v. Factor b(c).
2*c*(c - 1)*(c + 7)*(c + 10)
Find n, given that 300*n + 1/5*n**3 - 14*n**2 - 1800 = 0.
10, 30
Let q(x) = 7*x**3 - x**2 - 9*x - 2. Let u(m) = 4*m**3 - 5*m - 12*m**3 - 1 + 13*m + 5 + 2*m**2. Let w(i) = 6*q(i) + 5*u(i). Factor w(o).
2*(o - 1)**2*(o + 4)
Let x be -1193 + 1160 - 214/(-6). Factor -x*v**2 + 2*v - 2*v**3 + 1/3*v**4 + 7/3.
(v - 7)*(v - 1)*(v + 1)**2/3
Suppose 4*w - 3*d - 75 = 0, -3*w + 4*d = -4*w + 14. Suppose 2*f + 8 = w. Find j, given that -198 - 15*j**2 - f*j**3 + 198 = 0.
-3, 0
Let s(h) = -163 - 712 + 5 - 102*h. Let z(u) = u**2 - 1. Let c(f) = -s(f) + 3*z(f). Factor c(x).
3*(x + 17)**2
Let o be 12/(-1)*4/(-12). Suppose -c = -o*v + 18, 6 = -2*c - 0*v + 2*v. Factor 47*x**3 - 4*x - 43*x**3 - 4*x**c + 2*x - 2*x + 4.
4*(x - 1)**2*(x + 1)
Factor -119 - 136*p**2 - 32 + 152*p**2 - 668*p - 71 + 54.
4*(p - 42)*(4*p + 1)
Suppose -5*n - 1 = -6*n. Let w be (-3)/((3/(-8))/(n/4)). Factor -2*z**w - 12 + z**2 + 2*z + 11.
-(z - 1)**2
Factor 0*n**3 - 61*n + 210*n**3 - 3*n**4 + 277*n + 429*n**2.
-3*n*(n - 72)*(n + 1)**2
Let g be 4/((-16)/6) + (-210)/(-100). Let m(d) be the first derivative of -g*d**2 + 4/5*d + 7 + 2/15*d**3. Find j such that m(j) = 0.
1, 2
Let r be 101099/(-23788) + 67/4. Factor 5/2*y**2 - 1/6*y**3 - r*y + 125/6.
-(y - 5)**3/6
Let n = 1/38660 + 27835/7732. Find a, given that 4*a**2 + 7/5*a**4 + 8/5*a + n*a**3 + 1/5*a**5 + 0 = 0.
-2, -1, 0
Let i(r) be the second derivative of -69*r - 5*r**2 + 35/6*r**3 + 5/3*r**4 + 0. Suppose i(u) = 0. What is u?
-2, 1/4
Let o(s) = -s**2 - 65*s + 839. Let j be o(-76). Factor -3/2*z**j - 3/4 + 5/4*z**4 + 7/4*z - 1/4*z**5 - 1/2*z**2.
-(z - 3)*(z - 1)**3*(z + 1)/4
Let l(p) be the third derivative of 1375*p**8/84 - 545*p**7/7 + 296*p**6/3 - 508*p**5/15 - 24*p**4 + 80*p**3/3 - 1050*p**2. Find x, given that l(x) = 0.
-5/22, 2/5, 2
Let m(p) be the first derivative of 3*p**5/20 - 93*p**4/16 + 65*p**3/2 - 5376. What is i in m(i) = 0?
0, 5, 26
Let y(q) be the second derivative of -q**6/75 - 422*q**5/25 - 29821*q**4/5 - 355324*q**3/15 - 177241*q**2/5 - 1822*q. Determine o, given that y(o) = 0.
-421, -1
Let 250/3*y + 1/3*y**3 + 127/3*y**2 + 0 = 0. Calculate y.
-125, -2, 0
Determine g, given that -12*g - 50 - 105*g - 3*g**3 + 222 - 45*g**2 - 7 = 0.
-11, -5, 1
Let i be ((-66)/(-75138))/(7/(-22778)). Let v = -2/1789 - i. Let 10/7*l + 0*l**2 - 4/7 + v*l**4 - 6/7*l**5 - 20/7*l**3 = 0. Calculate l.
-2/3, 1
Let j(h) be the third derivative of h**7/1050 - 137*h**6/600 + 1541*h**5/100 + 1587*h**4/40 - h**2 + 15*h. Find i such that j(i) = 0.
-1, 0, 69
Let m = -19464 + 19469. Let h(g) be the third derivative of -3/40*g**6 - 2/3*g**3 - 1/2*g**m - g**2 + 0*g + 0 + 23/24*g**4. Factor h(r).
-(r + 4)*(3*r - 1)**2
Let l(x) be the third derivative of -x**6/80 + 3*x**5/10 - 9*x**4/4 + 8*x**3 - 789*x**2. Suppose l(i) = 0. Calculate i.
2, 8
Let r(u) be the third derivative of u**6/720 - 29*u**5/120 + 55*u**4/16 - 81*u**3/4 - 616*u**2. Factor r(c).
(c - 81)*(c - 3)**2/6
Factor 5595/2*u**2 - 1305732*u + 1302936 - 3/2*u**3.
-3*(u - 932)**2*(u - 1)/2
Suppose 0*i + 4*i - 104 = 0. Factor 219*c + 242 - 26 - i*c**2 + 29*c**2.
3*(c + 1)*(c + 72)
Factor 1233/5 - 9/5*p**2 + 3696/5*p.
-3*(p - 411)*(3*p + 1)/5
Let q(u) = u**2 + u - 27. Let a be q(5). Suppose -10*o**4 - 1229 + 1233 + 46*o**2 + 8*o**5 - 26*o - 28*o**3 + 6*o**a = 0. What is o?
-2, 1/4, 1
Let r(d) be the second derivative of d**7/210 + d**6/50 - 3*d**5/50 - 7*d**4/15 - 4*d**3/5 - 8368*d. Solve r(m) = 0.
-2, 0, 3
Factor 22/7*i**2 + 92/7*i + 1/7*i**3 - 40.
(i - 2)*(i + 10)*(i + 14)/7
Let d(p) be the first derivative of -4*p**6 + 286*p**5/5 - 351*p**4/2 + 226*p**3 - 137*p**2 + 36*p - 174. What is l in d(l) = 0?
1/4, 2/3, 1, 9
Let n(m) be the third derivative of 0*m**3 + 7/12*m**4 + 0*m + 1/60*m**6 - 3*m**2 - 27 - 4/15*m**5. Factor n(q).
2*q*(q - 7)*(q - 1)
Let b(y) be the first derivative of 3*y**4/4 - 8*y**3 - 534*y**2 - 2016*y - 9126. Factor b(z).
3*(z - 24)*(z + 2)*(z + 14)
Factor 3*n**5 + 39761*n**3 - 804*n**4 + 47 - 47 + 53067*n + 14905*n**3 - 106932*n**2.
3*n*(n - 133)**2*(n - 1)**2
Let p(h) be the third derivative of -h**7/42 - 13*h**6/12 - 2*h**5 + 65*h**4/12 + 125*h**3/6 + 870*h**2 - 3*h. Factor p(d).
-5*(d - 1)*(d + 1)**2*(d + 25)
Let o(m) be the first derivative of m**6/360 - m**5/60 + m**4/24 + m**3/3 - 32*m - 95. Let z(n) be the third derivative of o(n). Suppose z(r) = 0. What is 