*2*(o + 4)
Let x(j) be the first derivative of j**4 + 1/18*j**6 - 47 + 0*j - 2/5*j**5 - 8/9*j**3 + 0*j**2. Factor x(g).
g**2*(g - 2)**3/3
Let g be -2 + -7*(-1)/((-35)/(-380)). Suppose 53 = -7*k + g. Solve -2/3*n**2 + 0*n**k + 0*n + 2/3*n**4 + 0 = 0.
-1, 0, 1
Factor 13/2*w**3 - 25*w**2 - 12 - 82*w.
(w - 6)*(w + 2)*(13*w + 2)/2
Let o(s) be the third derivative of s**5/3 - 97*s**4/6 - 368*s**3 - 139*s**2 - 2*s + 2. Factor o(g).
4*(g - 24)*(5*g + 23)
Let b = 24026 - 24024. Let o(q) be the second derivative of 1/60*q**5 + 43*q + 0 + 1/3*q**b + 1/9*q**4 + 5/18*q**3. Factor o(c).
(c + 1)**2*(c + 2)/3
Factor 153*u - 303*u**2 - 332*u**2 + 632*u**2.
-3*u*(u - 51)
Let 0 + 165*f**2 - 171/4*f**3 - 96*f - 51/2*f**4 - 3/4*f**5 = 0. Calculate f.
-32, -4, 0, 1
Suppose -2*c - 9*c + 99 = 0. Suppose 0*i = -c*i + 252. Factor 12*f + 92*f**2 - 11*f - 25*f - i*f**3.
-4*f*(f - 3)*(7*f - 2)
Find p such that -75 + 642 + 538*p**4 - 183*p**4 - 178*p**4 - 276*p**2 - 180*p**4 + 54*p**3 + 234*p = 0.
-1, 3, 7, 9
Suppose 0 = -323*q + 145 + 501. Let n be (-72)/39 - (0 - 2). What is u in 0 + n*u**5 + 0*u**q + 4/13*u**4 + 0*u**3 + 0*u = 0?
-2, 0
Let p = 11 - 7. Suppose -p + 2 = -z. Factor 121*g**2 - 120*g - 76*g**z - 1 + 81.
5*(3*g - 4)**2
Let h(u) be the third derivative of 0*u - 6*u**2 + 0*u**3 + 0*u**5 - 1/90*u**6 - 1/945*u**7 + 0*u**4 - 4. Factor h(g).
-2*g**3*(g + 6)/9
Let t(i) be the third derivative of 0 + 0*i + 1/24*i**4 + 80*i**2 + 0*i**3 - 1/120*i**5. Factor t(h).
-h*(h - 2)/2
Let t(o) = 5*o**3 + 232*o**2 - 151*o - 324. Let b(w) = 10*w**3 + 476*w**2 - 298*w - 647. Let d(i) = -6*b(i) + 13*t(i). Let d(n) = 0. Calculate n.
-33, -1, 2
Let j(r) be the first derivative of -r**3/9 - 196*r**2/3 + 1406. Solve j(q) = 0.
-392, 0
Let m = 119024 - 119014. Suppose m*y + 11/4*y**2 + 1/4*y**3 + 12 = 0. Calculate y.
-4, -3
Determine i, given that -552 + 1460*i - 6*i**4 + 2419*i**2 + 796*i**3 + 373*i**2 + i**4 + 6*i**4 + 15*i**4 = 0.
-46, -3, -1, 1/4
Let z(v) = -v**2 + 7*v + 42. Let u be z(10). Determine n, given that -u*n**2 - 2205 + 210*n + 10*n**2 - 3*n**2 = 0.
21
Let v(q) be the first derivative of 2/5*q**2 + 57 + 2/3*q**3 + 1/10*q**4 - 16/5*q. Factor v(y).
2*(y - 1)*(y + 2)*(y + 4)/5
Let c(s) = -4*s**4 - 692*s**3 - 1378*s**2 - 1054*s - 196. Let g(x) = -77*x**3 - 153*x**2 - 117*x - 22. Let w(z) = 6*c(z) - 52*g(z). Solve w(k) = 0.
-2, -1/6
Let l be (-16)/6*(-50 + 30217/656). Let v = -21 - -27. Solve v*y**2 - 1/2*y**3 + 5 - l*y = 0.
1, 10
Let 63/4*v**2 + 0 - 27/2*v - 6*v**3 + 3/4*v**4 = 0. What is v?
0, 2, 3
Let m(g) be the second derivative of 9*g**5/160 + 59*g**4/32 + 35*g**3/4 + 51*g**2/4 - 921*g - 2. Factor m(x).
3*(x + 2)*(x + 17)*(3*x + 2)/8
Let c be (138/(-72))/23 - 425/(-204). Let f = 523/210 + -33/14. Determine x, given that f*x**3 + 4/15 - 2/15*x - 4/15*x**c = 0.
-1, 1, 2
Let s(o) be the first derivative of o**6/2 + 54*o**5/5 + 99*o**4/4 + 16*o**3 + 2031. Factor s(r).
3*r**2*(r + 1)**2*(r + 16)
Let j = 13/9363 - -18583/102993. Factor 0 + 2/11*q**4 - 6/11*q - j*q**3 - 10/11*q**2.
2*q*(q - 3)*(q + 1)**2/11
Let u be 6/7 - 1710/(-210). Let d be u + (-35)/(2 - -5). Solve 4/9 - 2/9*v**2 + 2/3*v - 2/9*v**d - 2/3*v**3 = 0.
-2, -1, 1
Let o = 1299611/3300 - 4332/11. Let u(w) be the third derivative of -3/5*w**3 + 0*w + 10*w**2 + 1/20*w**4 + 1/30*w**5 + 0 + o*w**6. Factor u(y).
2*(y - 1)*(y + 3)**2/5
Let x(j) be the third derivative of -1/420*j**6 - 1/15*j**5 + 6*j + 0 + 0*j**3 - 7/12*j**4 + j**2. Factor x(m).
-2*m*(m + 7)**2/7
Factor 1/5*q**2 - 578/5*q + 83521/5.
(q - 289)**2/5
Let a(z) be the second derivative of z**7/33 + 8*z**6/55 + 8*z**5/55 - 3*z**4/11 - 23*z**3/33 - 6*z**2/11 - 772*z. Find w, given that a(w) = 0.
-2, -1, -3/7, 1
Let v(m) be the third derivative of -49 + 0*m - 5/12*m**4 - 2/3*m**3 - 2/15*m**5 - 1/60*m**6 - m**2. Factor v(d).
-2*(d + 1)**2*(d + 2)
Factor -108*r + 0 + 1/2*r**2.
r*(r - 216)/2
Let w(f) be the first derivative of f**3/3 - 2742*f**2 + 7518564*f + 8544. Let w(i) = 0. Calculate i.
2742
Let y = -168 + 844/5. Let k be 252/(23 + -59) + 4*10/4. Solve -2/5*a**k + y + 2/5*a - 4/5*a**2 = 0.
-2, -1, 1
Let j(d) = -16*d**2 - 5380*d + 10680. Let n(m) = -3*m**2 - 1345*m + 2670. Let l(b) = -2*j(b) + 9*n(b). Factor l(w).
5*(w - 267)*(w - 2)
Let f be 2 - 60/21 - (1748/133 - 14). Let t(w) be the second derivative of f + 1/36*w**4 - 8*w - 2/9*w**3 + 2/3*w**2. Factor t(u).
(u - 2)**2/3
Let u be ((-1)/(-5))/((-61)/(-915)). Let -45*h + 13*h**3 - h**3 - 5*h**u + 6*h**2 - 4*h**3 = 0. What is h?
-5, 0, 3
Let g(m) be the third derivative of -14/15*m**3 + 41*m**2 + 11/15*m**4 + 0*m - 17/75*m**5 + 0 + 1/75*m**6. Factor g(p).
4*(p - 7)*(p - 1)*(2*p - 1)/5
Let p(v) be the second derivative of v**5/90 - 65*v**4/18 + 1147*v**3/3 - 8649*v**2 + 3074*v - 3. Solve p(x) = 0.
9, 93
Let y(a) be the first derivative of 20/3*a**3 - 135 - 4/5*a**5 + 0*a + 4*a**2 - 2/3*a**6 + 3*a**4. Factor y(c).
-4*c*(c - 2)*(c + 1)**3
Factor 13202*y**3 - 6623*y**2 + 338*y + 37901*y**3 - 43904*y**4 - 2953*y**2 - 2 + 41409*y**3 - 2.
-2*(y - 2)*(28*y - 1)**3
Let k = -167 - -311. Factor -38*l**2 - 223*l - k + 103*l + 10*l**2 - 2*l**3.
-2*(l + 2)*(l + 6)**2
Let s(m) be the first derivative of m**4/6 - 14*m**3/3 + 49*m**2 - 27*m + 41. Let d(v) be the first derivative of s(v). Suppose d(z) = 0. Calculate z.
7
Let t(l) be the first derivative of 1/15*l**3 - 7/10*l**2 + 16 + 6/5*l. Find w such that t(w) = 0.
1, 6
Let h(s) be the first derivative of -2*s**3 - s**4 + 5 + 19/80*s**5 - 1/64*s**6 + 0*s - 5*s**2. Let b(f) be the second derivative of h(f). Factor b(g).
-3*(g - 4)**2*(5*g + 2)/8
Let q(m) = 340*m**2 - 3432*m - 39392. Let z(l) = -32*l**2 + 312*l + 3581. Let j(y) = -3*q(y) - 32*z(y). Factor j(k).
4*(k + 14)*(k + 64)
Let x(o) be the third derivative of 0*o**3 + 7/30*o**5 + 7/120*o**6 + 1/210*o**7 + 0*o - o**2 + 1/3*o**4 + 22. Suppose x(v) = 0. Calculate v.
-4, -2, -1, 0
Let s = 283803 - 283801. Factor -16/5*b**s - 1/5*b**3 - 69/5*b - 18.
-(b + 3)**2*(b + 10)/5
Let p(u) = 10*u**3 + 180*u**2 - 456*u + 236. Let o(k) = 21*k**3 + 354*k**2 - 914*k + 474. Let l(c) = -6*o(c) + 13*p(c). Determine z so that l(z) = 0.
-56, 1
Determine x, given that 0 + 4/17*x + 762/17*x**2 - 3096/17*x**4 - 2338/17*x**3 = 0.
-1, -2/387, 0, 1/4
Suppose 10702710*c**2 + 3885087000 + 3895779900*c + 57*c**4 + 61*c**4 + 10836*c**3 - 1023*c**3 - 115*c**4 = 0. Calculate c.
-1090, -1
Let v(l) = -111*l**2 - 31*l - 96. Let q be v(-4). Let x be q/276 + 1*8. Factor 2*f**3 + 0 - x*f**4 - 8/3*f + 1/3*f**5 + 4/3*f**2.
f*(f - 2)**3*(f + 1)/3
Let i(j) = 20*j**2 + 80*j - 40. Let w(r) = 8*r + 8*r + 13*r + r**2 - 38*r + 11*r. Let l(z) = -i(z) + 25*w(z). Let l(x) = 0. Calculate x.
2, 4
Let h(k) be the second derivative of -k**7/42 - 43*k**6/15 + 27*k**5 - 547*k**4/6 + 917*k**3/6 - 138*k**2 + 12*k - 138. Factor h(d).
-(d - 3)*(d - 1)**3*(d + 92)
Let y be 8/52 + 3540/7670. Determine m, given that -4/13*m**3 - 6/13*m**2 + 16/13*m + 2/13*m**4 - y = 0.
-2, 1, 2
Suppose 134*h + 201873 = 202141. Let 0 - 15/2*r**h - r = 0. Calculate r.
-2/15, 0
Let i(n) be the first derivative of 0*n**2 + 5/3*n**3 + 5*n**4 + 0*n - n**5 - 10/3*n**6 - 18. Find f, given that i(f) = 0.
-1, -1/4, 0, 1
Factor -5/2*y**4 + 0 + 0*y + 0*y**2 + 3*y**3 - 1/2*y**5.
-y**3*(y - 1)*(y + 6)/2
Let t(s) be the first derivative of -6*s**2 + 28/3*s**3 + 0*s - 227 + 4/5*s**5 - 5*s**4. Factor t(c).
4*c*(c - 3)*(c - 1)**2
Suppose 20*q + 290 - 330 = 0. Determine b, given that 90*b + q*b**5 + 12*b**2 + 20*b**3 - 140*b**2 + 32*b**4 - 16*b**2 = 0.
-15, -3, 0, 1
Let c(g) be the first derivative of 7*g**4/4 + 115*g**3/3 + 122*g**2 + 84*g + 2005. Find z such that c(z) = 0.
-14, -2, -3/7
Let 3/5*k**4 - 5400000 + 16380*k**2 - 438000*k - 873/5*k**3 = 0. Calculate k.
-9, 100
Let p(k) be the third derivative of k**6/60 + 11*k**5/60 - 35*k**4/12 + 19*k**3/2 + 7*k**2 + 22. Factor p(q).
(q - 3)*(q - 1)*(2*q + 19)
Let t(k) be the second derivative of 20*k - 1/50*k**5 + 0*k**2 - 1 + 1/15*k**4 + 0*k**3. Factor t(h).
-2*h**2*(h - 2)/5
Let a = -32981 - -32983. Find p such that 0*p - 1/7*p**4 + 0 - 2/7*p**a - 3/7*p**3 = 0.
-2, -1, 0
Let i(g) be the first derivative of 8*g - 4/3*g**3 - 117 + 2*g**2. What is b in i(b) = 0?
-1, 2
Factor -1040/3*j - 2/3*j**3 + 800 + 86/3*j**2.
-2*(j - 20)**2*(j - 3)/3
Let h(f) be the first derivati