+ 27*w. Let a(o) be the third derivative of u(o). Factor a(i).
-2*(i - 1)**2*(i + 2)/7
Let p(t) be the first derivative of 5/3*t + 27 + 1/9*t**3 + t**2. Solve p(u) = 0.
-5, -1
Suppose 0 = -4*g + 4*x + 24, -3*g + 5*g + 2*x - 4 = 0. Factor 19 + r**2 + 0*r + 13 - 29 + g*r.
(r + 1)*(r + 3)
Suppose 5*h = -4*o + 25, 5*o = -h - 0*h + 26. Suppose 4*n - o - 7 = 0. Factor -8*g - 17*g**3 + 4*g**2 + 2*g**4 - 32*g + n*g**3 + 16 + 32*g**2.
2*(g - 2)**3*(g - 1)
Let s(o) be the second derivative of -5*o**4/48 + 53*o**3/24 + 11*o**2/4 + 51*o. Factor s(l).
-(l - 11)*(5*l + 2)/4
Let i(q) be the second derivative of q**8/57120 + q**7/3570 + 11*q**6/6120 + q**5/170 + 7*q**4/12 + 37*q. Let b(g) be the third derivative of i(g). Factor b(j).
2*(j + 1)*(j + 2)*(j + 3)/17
Let y(q) be the first derivative of 1/2*q + 3/8*q**2 + 20 + 25/16*q**4 - 9/20*q**5 - 7/4*q**3. Suppose y(d) = 0. What is d?
-2/9, 1
Factor -12 - 14/3*x + 2/3*x**2.
2*(x - 9)*(x + 2)/3
Let n(x) = -4*x**3 - 66*x**2 - 201*x. Let d(b) = -6*b**3 - 100*b**2 - 302*b. Let r(j) = 5*d(j) - 8*n(j). Factor r(s).
2*s*(s + 7)**2
Let s be -6*(24/9 + -3). Suppose -o - s*o = -12. Factor n**2 - 2*n + n + o*n - 4 + 6.
(n + 1)*(n + 2)
Factor 8/5*n**2 - 1/5*n + 1/5*n**3 - 8/5.
(n - 1)*(n + 1)*(n + 8)/5
Let k(q) be the first derivative of 9*q**4/14 - 32*q**3/21 - 4*q**2/7 - 73. Factor k(p).
2*p*(p - 2)*(9*p + 2)/7
Suppose 13*t + 2158 - 429 = 0. Let r = 133 + t. Determine d so that -1/5*d**3 + 1/5*d**4 - 1/5*d**2 + r + 1/5*d = 0.
-1, 0, 1
Let k(d) be the first derivative of 2*d**3/51 + 13*d**2/17 - 38. What is z in k(z) = 0?
-13, 0
Let d(o) be the third derivative of o**8/1008 + 11*o**7/945 + 19*o**6/540 + o**5/45 - 17*o**4/216 - 5*o**3/27 - 234*o**2 - o. Suppose d(l) = 0. Calculate l.
-5, -1, 2/3
Let i(y) = 2*y**4 + 19*y**3 + 10*y**2 - 73*y + 48. Let f(c) = c**3 + c. Let j(l) = 6*f(l) - 2*i(l). Factor j(b).
-4*(b - 1)**2*(b + 4)*(b + 6)
Factor 12*s**3 - 3*s**4 - 708*s**2 + 343*s**2 + 356*s**2.
-3*s**2*(s - 3)*(s - 1)
Let f(s) be the second derivative of s**4/21 - 2*s**3/3 + 2*s + 18. Factor f(t).
4*t*(t - 7)/7
Let w(t) be the first derivative of 2*t**3/7 + 318*t**2/7 + 90*t - 51. Factor w(u).
6*(u + 1)*(u + 105)/7
Let a(c) be the first derivative of 4*c**3/3 + 16*c**2 - 42. Factor a(s).
4*s*(s + 8)
Suppose i + 1 = 4. Determine o so that -19*o**2 + 6*o**3 - 31*o**2 + 24*o + 4*o**i + 16 + 14*o**2 = 0.
-2/5, 2
Let r(w) = -w**2 + 51*w - 268. Let g be r(6). Find l, given that -2/3 + l**3 - 1/6*l**4 - 13/6*l**2 + g*l = 0.
1, 2
Let s = 2451737 - 4817662307/1965. Let l = s - -10/131. Determine n, given that -28/15*n + 6/5*n**4 + l*n**2 + 4*n**3 + 2/5 = 0.
-3, -1, 1/3
Let j = 207/260 + -3/65. Factor -1/4*x**2 - 1/4*x**4 + 1/2 - 3/4*x + j*x**3.
-(x - 2)*(x - 1)**2*(x + 1)/4
Let r = -5 + 9. Let w be 3 + 3 + (-12)/r. Factor 2*a - w*a**2 + 5*a**2 + 2 - 2.
2*a*(a + 1)
Let y = -7849/3 + 2618. What is p in 4/3*p**2 + 2/3 + 1/3*p**3 + y*p = 0?
-2, -1
Let a(k) be the second derivative of -k**5/5 + 5*k**4 - 28*k**3/3 - k - 17. Factor a(o).
-4*o*(o - 14)*(o - 1)
Let -5/2*r**2 + r - 3/2*r**3 + 0 = 0. What is r?
-2, 0, 1/3
Let a(q) = -7*q**3 + 45*q**2 - 113*q + 75. Let w(b) = 13*b**3 - 91*b**2 + 227*b - 149. Let u(k) = -5*a(k) - 3*w(k). Solve u(s) = 0.
1, 2, 9
Let k = 6 - 1. Factor 5*m**2 + 26*m**k + 19*m**5 - 40*m**5 - 5*m**4 - 5*m**3.
5*m**2*(m - 1)**2*(m + 1)
Let p be 174/56*10/10. Let l = p + -20/7. Solve 0 + 1/4*z - l*z**2 = 0.
0, 1
Let c = -1018 + 16289/16. Let z(f) be the second derivative of c*f**4 - 9*f + 0 - 9/8*f**2 - 1/4*f**3. Suppose z(q) = 0. Calculate q.
-1, 3
Let d(g) be the second derivative of -7/10*g**3 + 1/4*g**4 - 3/100*g**5 + 9/10*g**2 + 0 - 5*g. Let d(c) = 0. What is c?
1, 3
Let c = 21695 - 151863/7. Let h be 2/14*(1 + 1). Factor c*g**3 - 2/7*g + 2/7*g**2 - h*g**4 + 0.
-2*g*(g - 1)**2*(g + 1)/7
Let o(i) be the second derivative of 7*i + 0*i**2 + 1/3*i**4 - 1/30*i**5 + 0 - 1/90*i**6 + 1/6*i**3. Let b(n) be the second derivative of o(n). Factor b(f).
-4*(f - 1)*(f + 2)
Let q be -3 + (18/4)/(42/56). Let t be 11*(2/(-10))/(-1). What is s in 21/5*s**2 + s**4 + t*s + 2/5 + 17/5*s**q = 0?
-1, -2/5
Suppose -5*u + 0*u + 64 = 4*i, 5*i - 2*u = 47. Suppose 10*g = i*g - 3. Let -2/7*t**2 + 0 + 2/7*t**4 + 0*t + 0*t**g = 0. What is t?
-1, 0, 1
Let d(y) = -2*y**5 - y**4 - y**3 + y**2 - y. Let j(t) = -10*t**5 + 10*t**4 - 32*t**3 + 20*t**2 - 4*t. Let q(f) = -4*d(f) + j(f). Let q(c) = 0. Calculate c.
0, 1, 2, 4
Factor -10*m + 907*m**5 - 20*m**3 + 7*m**4 - 20*m**2 - 909*m**5 - 2 - 17*m**4.
-2*(m + 1)**5
Let c = 8 - 6. Suppose 3*v = 4*v + o - c, 0 = -5*v + 4*o + 10. Let -36*b**4 + 6*b**5 + 12*b**3 + 6 + 5*b**5 + 46*b**2 - 16*b**v - 27*b + 4*b**5 = 0. What is b?
-1, 2/5, 1
Let w(g) be the second derivative of -g**4/66 - 13*g**3/33 - 12*g**2/11 - 62*g. Find z, given that w(z) = 0.
-12, -1
Let m = -36 - -38. Solve -6*c + 2 - 2*c + m*c**2 + 5 - 1 = 0 for c.
1, 3
Let -14*b - 83*b**2 - 4*b**4 + 4 + 2*b**5 - 4*b**3 + 188*b**2 - 89*b**2 = 0. What is b?
-2, 1
Suppose h - 3*i - 2*i = 27, 0 = -5*h + 5*i + 35. Let q be (28/(-20) + h)*5. Factor -9*j**q - 3*j**3 - j**4 - 18*j**2 - j**4.
-2*j**2*(j + 3)**2
Find r, given that -1338/5*r**2 + 298374/5*r + 2/5*r**3 - 22179134/5 = 0.
223
Factor 7151*l**3 - 2*l**5 - 4*l**2 + 3*l**5 - 7151*l**3 + 3*l**4.
l**2*(l - 1)*(l + 2)**2
Let m(n) = 57*n**4 - 73*n**3 - 47*n**2 + 14*n + 7. Let f(t) = 29*t**4 - 36*t**3 - 24*t**2 + 8*t + 4. Let o(q) = -7*f(q) + 4*m(q). Factor o(i).
5*i**2*(i - 2)*(5*i + 2)
Let n(f) be the first derivative of 0*f - 1/8*f**4 + 7 + 1/360*f**6 + f**3 + 1/60*f**5 + 0*f**2. Let l(g) be the third derivative of n(g). Factor l(o).
(o - 1)*(o + 3)
Suppose -3*c - 10 = -5*c. Let j be 27/15 - (-1)/c*1. Factor 2/9*i**j + 2/9*i + 0.
2*i*(i + 1)/9
Let l(i) = 4*i**5 + 3*i**4 + 3*i**3 - 2*i**2 + 3*i - 3. Let q(a) = -a**5 + a**2 - a + 1. Let g(j) = l(j) + 3*q(j). Let g(m) = 0. What is m?
-1, 0
Let k(n) = -5*n**2 + 11*n + 32. Let j(r) = 36*r**2 - 78*r - 225. Let z(s) = -s**2 - 14*s + 2. Let u be z(-13). Let g(f) = u*k(f) + 2*j(f). Factor g(c).
-3*(c - 5)*(c + 2)
Let q be ((-5)/(-10)*4)/(3/42). Let z be 8/(-28)*q/(-32). Factor -1/4*c**2 + 0 + z*c.
-c*(c - 1)/4
Let o(j) = j**2 + 17*j + 32. Let k be o(-15). Let u be ((4/(-3))/k)/((-8)/24). Find w such that 0*w**3 + 0*w - 1/2*w**4 + 1/2*w**u + 0 = 0.
-1, 0, 1
Suppose 3*k + 2*c = 0, 13*c = 2*k + 18*c + 11. Factor 0 + 4/7*s - k*s**2.
-2*s*(7*s - 2)/7
Find v, given that -3/7*v**5 - 6/7*v + 9/7*v**3 + 3/7*v**2 + 0 - 3/7*v**4 = 0.
-2, -1, 0, 1
Let q(s) be the third derivative of 0 + 0*s**4 + 25*s**2 - 1/1155*s**7 + 0*s**3 + 0*s + 1/330*s**6 - 1/330*s**5. What is u in q(u) = 0?
0, 1
Let f(z) = -z**3 - 6*z**2 - 11. Let u be f(-6). Let i = u + 11. Factor i - 6/13*g**4 + 0*g + 2/13*g**5 - 2/13*g**2 + 6/13*g**3.
2*g**2*(g - 1)**3/13
Let s(j) be the second derivative of -35/12*j**4 + 0*j**2 + 5/3*j**3 + 0 + j. Factor s(z).
-5*z*(7*z - 2)
Let q be (48/40 - 0)/(2/5). Suppose 0 + c**q - 1/4*c**2 + 1/4*c**4 - c = 0. Calculate c.
-4, -1, 0, 1
What is l in -114/11*l**2 + 92/11*l - 82/11*l**3 + 6*l**4 - 10/11*l**5 + 48/11 = 0?
-1, -2/5, 1, 3, 4
Let a be 2 + -3 - (-2 + 1). Let z be (3/6*2*0/(-1))/(-7). Factor 2/13*c**2 + a*c + z.
2*c**2/13
Let p(t) be the first derivative of -t**3/7 - 411*t**2/7 - 117*t - 997. Solve p(s) = 0 for s.
-273, -1
Find k such that -2/7*k**4 - 180/7*k**2 + 176/7*k - 58/7 + 64/7*k**3 = 0.
1, 29
Factor 158/5*u - 2/5*u**5 + 8 + 232/5*u**2 + 32/5*u**4 + 148/5*u**3.
-2*(u - 20)*(u + 1)**4/5
Let n(i) be the second derivative of 0*i**2 - 2*i**4 + 20*i + 0*i**6 + 0 + 0*i**3 - 7/5*i**5 + 2/21*i**7. Factor n(t).
4*t**2*(t - 3)*(t + 1)*(t + 2)
Let f(k) be the third derivative of 3*k**7/70 - 7*k**6/20 + k**5/5 + 15*k**4/4 + 9*k**3/2 - k**2 + 128. Factor f(w).
3*(w - 3)**2*(w + 1)*(3*w + 1)
Let k(m) be the third derivative of -m**5/30 + m**4/3 + 58*m**2. Find v such that k(v) = 0.
0, 4
Let m(d) be the first derivative of -d**5/180 - d**4/24 - 5*d**2/2 - 48. Let j(c) be the second derivative of m(c). Solve j(z) = 0 for z.
-3, 0
Let a(f) be the first derivative of -11*f**3/2 + 411*f**2/4 + 117*f - 283. Factor a(y).
-3*(y - 13)*(11*y + 6)/2
Suppose 0*p**3 - 3/2*p + 7/4*p**2 + 0 - 1/4*p**4 = 0. Calculate p.
-3, 0, 1, 2
Let h(u) be the third derivative of -u**7/1470 + u**6/4