t z = -43 - -23. Let a(q) = q**3 + 5*q**2 - 4*q - 5. Let m(t) = z*a(t) - 3*n(t). Factor m(x).
4*(x - 1)*(x + 1)*(x + 2)
Let n be ((-6)/(-42)*0)/(-5) + 0. Solve 8/3*z**2 - 4/3*z + 4/3*z**5 + 0*z**3 - 8/3*z**4 + n = 0 for z.
-1, 0, 1
Let a(q) = -3*q**2 - 19*q - 16. Let f(v) = 2*v**2 + 13*v + 11. Let m(d) = -5*a(d) - 7*f(d). Let m(y) = 0. Calculate y.
-3, -1
Let h(v) = v - 5. Let b be h(8). Let r(o) be the second derivative of 1/8*o**2 + 1/24*o**b + 0 - 1/48*o**4 - 2*o - 1/80*o**5. Factor r(c).
-(c - 1)*(c + 1)**2/4
Let r be 2/(-3)*-6 - -1. Suppose -r = 5*z - 20. Factor -2*n**4 - n**z + n**5 + n**4 + n**2 + 0*n**4.
n**2*(n - 1)**2*(n + 1)
Let o be (-87)/29*(-28)/(-6). Let r be 12/o - (14 - 16). Let -r + 18/7*j**3 + 6/7*j**2 - 16/7*j = 0. Calculate j.
-2/3, 1
Let i(w) be the first derivative of 7*w**3/18 - 5*w**2/12 - w/3 + 3. Factor i(p).
(p - 1)*(7*p + 2)/6
Factor -9*p**3 - p**3 + 9*p**3 - 32*p**2 - 12*p - 11*p**3 + 8*p**4.
4*p*(p - 3)*(p + 1)*(2*p + 1)
Let a = -2879/36 + 80. Let t(b) be the second derivative of -1/126*b**7 + 0 + 0*b**2 + a*b**4 - 2*b + 0*b**3 + 1/30*b**6 - 1/20*b**5. Solve t(z) = 0.
0, 1
Let l be 6/10 + 51/15. Suppose l*j = 6*j. Factor 2/7*o**2 - 2/7*o + j.
2*o*(o - 1)/7
Let l be 16/15 - (-4)/(-10). Suppose -2*i + 6*i - 12 = 0. Determine q, given that 4*q + l*q**3 + i*q**2 + 4/3 = 0.
-2, -1/2
Let t(l) be the third derivative of -l**5/60 - l**4/24 + l**3/3 - 6*l**2. Factor t(u).
-(u - 1)*(u + 2)
Let h be 9/3*(-2)/(-12). Factor 1/2*o**5 + h*o + 0 + 0*o**2 - o**3 + 0*o**4.
o*(o - 1)**2*(o + 1)**2/2
Let i(l) = 10*l**3 - 34*l**2 - 16*l + 8. Let w(x) = -3*x**3 + 11*x**2 + 5*x - 3. Let u(z) = 5*i(z) + 16*w(z). Factor u(n).
2*(n - 1)*(n + 2)**2
Factor 5*v**3 + 2*v**2 + 4*v**4 + v + v**3 - v**5 + 2*v**5 + 2*v**2.
v*(v + 1)**4
Let i(y) be the second derivative of -y**6/150 + y**5/20 - 2*y**4/15 + 2*y**3/15 - 3*y. Find s such that i(s) = 0.
0, 1, 2
Let t(l) be the third derivative of -l**5/20 + l**3/2 - 5*l**2. Factor t(v).
-3*(v - 1)*(v + 1)
Factor 0*c + 6/7*c**3 + 3/7*c**4 + 0*c**2 + 0 - 3/7*c**5.
-3*c**3*(c - 2)*(c + 1)/7
Factor -8/3*p + 2/3*p**2 - 10/3.
2*(p - 5)*(p + 1)/3
Let m be (-10)/25 - -3 - 1/5. Determine y, given that -16/5*y**3 + m*y**2 - 12/5*y**4 + 0 - 2/5*y + 18/5*y**5 = 0.
-1, 0, 1/3, 1
Let m(q) = q**3 - 6*q**2 + 7*q - 7. Let h be m(5). Suppose -h*u - 2 = -11. Let 0*p**2 + 0 + 1/4*p - 1/4*p**u = 0. Calculate p.
-1, 0, 1
Let a(x) be the first derivative of 4*x**5/5 + x**4 - 4*x**3/3 - 2*x**2 - 28. Let a(k) = 0. What is k?
-1, 0, 1
Let t(s) be the third derivative of 1/300*s**5 - 1/900*s**6 + 0*s**4 - s**2 - 1/3*s**3 + 0 + 0*s. Let l(x) be the first derivative of t(x). Factor l(d).
-2*d*(d - 1)/5
Let f be ((-1)/1)/(3/(-9)). Suppose 3*m - 9 = -f. Let 0*u - 4*u**m + u + 2*u**3 + u = 0. What is u?
0, 1
Let r = -72 - -145/2. Let u(c) be the first derivative of -1/2*c + 3 + r*c**2 - 1/6*c**3. Find a such that u(a) = 0.
1
Let c(p) = 5*p**3 + 5*p**2 - 8. Let v(d) = -2*d**3 - 2*d**2 + 3. Let h(r) = 3*c(r) + 8*v(r). Let k be h(-2). Factor 5 - 2*o**2 + k*o - 4 - 3.
-2*(o - 1)**2
Suppose -2*f + 11 = -m, -2*f + 1 = -m + 2*m. Suppose w + 4*x - 25 = -x, w = f*x - 15. Factor w*o**2 + 0 + 2/3*o**3 - 2/3*o.
2*o*(o - 1)*(o + 1)/3
Suppose 2*y = 3*y - 4*r - 4, -4*y - 2 = 2*r. Let m(q) be the second derivative of 1/24*q**3 - 1/48*q**4 + y*q**2 + 0 - q. Solve m(d) = 0.
0, 1
Factor z**2 + 7*z**2 + 3*z - 4*z**2 + 6 - 7*z**2.
-3*(z - 2)*(z + 1)
Let 2/9 - 1/3*f + 1/3*f**3 - 7/9*f**2 + 5/9*f**4 = 0. Calculate f.
-1, 2/5, 1
Let l be (6/(-25))/(224/(-490)). Let u = l - 1/40. Find k such that 1/2 + k**3 - 1/2*k**5 - u*k - k**2 + 1/2*k**4 = 0.
-1, 1
Let a = 18/41 + -319/820. Let k(j) be the first derivative of -3 - 3/16*j**4 - 1/12*j**3 - a*j**5 + 1/2*j + 3/8*j**2. Factor k(c).
-(c - 1)*(c + 1)**2*(c + 2)/4
Let x(q) be the first derivative of 3*q**5/20 - q**3/2 - 2*q + 2. Let p(u) be the first derivative of x(u). Determine d, given that p(d) = 0.
-1, 0, 1
Let b(x) be the second derivative of -1/10*x**5 + 7/30*x**6 + 3*x - 2/21*x**7 + 0*x**2 + 0 + 0*x**3 - 1/12*x**4. Factor b(t).
-t**2*(t - 1)**2*(4*t + 1)
Let y(a) be the first derivative of -1/6*a**6 + 9/10*a**5 - 2*a**4 + 7/3*a**3 + 1/2*a - 3/2*a**2 - 3. Factor y(c).
-(c - 1)**4*(2*c - 1)/2
Determine d, given that -d**2 + 14 + 10 + 19*d**2 - 45*d + 3*d**3 = 0.
-8, 1
Let p(a) be the third derivative of a**7/70 + a**6/40 - a**5/20 - a**4/8 + 5*a**2. Find j, given that p(j) = 0.
-1, 0, 1
Let n(w) = w**2 - 13*w + 5. Let c be n(13). Let f(q) be the first derivative of 0*q + 14/45*q**c - 3 + 0*q**2 - 4/27*q**3 - 5/18*q**4. Factor f(h).
2*h**2*(h - 1)*(7*h + 2)/9
Factor 3*f**2 + 21/5*f + 3/5*f**3 + 9/5.
3*(f + 1)**2*(f + 3)/5
Determine u so that -2/3*u**4 + 0 + 12*u - 14*u**2 + 16/3*u**3 = 0.
0, 2, 3
Let v(m) be the third derivative of m**7/630 - m**6/120 + m**5/180 + m**4/24 - m**3/9 + 6*m**2. Factor v(h).
(h - 2)*(h - 1)**2*(h + 1)/3
Suppose -6*h + 2*h + 4 = 0. Let x be 2*h - (3 - 4). Suppose 5*y**2 + 2*y**3 + 6*y + 0*y**x + 2 + y**2 + 0*y**3 = 0. Calculate y.
-1
Suppose -x + 2 = -1. Factor 4*t**x + 4*t**5 - 4*t**4 + 0*t**5 - 4*t**5 - 5*t + t**5 + 2*t**2 + 2.
(t - 2)*(t - 1)**3*(t + 1)
Let l(h) = -7*h**3 + 4*h**2 + 3. Let j(a) = -20*a**3 + 12*a**2 + 8. Let v(n) = -3*j(n) + 8*l(n). Find s, given that v(s) = 0.
0, 1
Let u be (1/(3/(-36)))/(-2). Let i = 10 - u. What is h in -4*h**2 - 2*h**2 - 2*h + 2*h**i + 4*h**3 - 2*h**3 + 4*h**2 = 0?
-1, 0, 1
Let b(h) be the second derivative of h**4/60 - 12*h. Let b(u) = 0. What is u?
0
Let a(p) be the third derivative of 7*p**5/12 + 25*p**4/4 + 20*p**3/3 - 22*p**2. Factor a(q).
5*(q + 4)*(7*q + 2)
Determine y, given that 2/5*y**4 + 0 + 0*y + 2/5*y**2 + 4/5*y**3 = 0.
-1, 0
Suppose -5*a + d - 4 + 58 = 0, -4 = d. Let q = a + -6. Factor -q*p**3 + 2*p**3 + 2*p**3 + 2*p**2 + 2*p**4 - 4*p**3.
2*p**2*(p - 1)**2
Factor 2/5*p**4 + 0*p**2 + 0*p - 4/5*p**3 + 0.
2*p**3*(p - 2)/5
Let a(c) be the third derivative of -c**6/60 - c**5/15 + c**4/12 + 2*c**3/3 - 9*c**2. Let a(v) = 0. Calculate v.
-2, -1, 1
Suppose -3*f = 9, -3*o - 3*f - 6 = f. Let y(q) be the first derivative of -o*q - 1/6*q**3 + 2 + q**2. Determine l so that y(l) = 0.
2
Let m(x) be the third derivative of x**7/5040 + x**6/720 - x**4/24 - 2*x**2. Let i(g) be the second derivative of m(g). Suppose i(u) = 0. Calculate u.
-2, 0
Let o(w) = w**3 - 8*w**2 + 7*w + 1. Let t be o(7). Factor -51*g + t + 51*g - g**2.
-(g - 1)*(g + 1)
Let i(c) be the first derivative of -1/15*c**5 + 1/4*c**4 + 1 + 1/6*c**2 + 0*c - 1/3*c**3. Let i(b) = 0. Calculate b.
0, 1
Let r(n) = -n**3 - 2*n - n**2 + 2*n**4 + 2*n - 3*n**4. Let i(t) = t**5 - 2*t**4 - 3*t**3 - 2*t**2. Let q(f) = 2*i(f) - 4*r(f). Factor q(a).
2*a**3*(a - 1)*(a + 1)
Let b(c) be the second derivative of -c**7/168 - c**6/60 + c**4/24 + c**3/24 - 5*c. Determine g, given that b(g) = 0.
-1, 0, 1
Let u be (-24)/(-28) + (-232)/(-252). Suppose 0 - 50/3*c**4 - 70/9*c**3 + u*c**2 + 8/9*c = 0. What is c?
-2/5, 0, 1/3
Let o be 2/(-3) - 16/(-6). Let q be 4/(-12) + (4 - 3). Determine h, given that 16/3*h**4 - 2*h**5 + 0*h**o + 0 - 4*h**3 + q*h = 0.
-1/3, 0, 1
Let n(q) = q - 7. Let p be n(10). Factor 2*c**5 - 2*c**3 + 0*c**5 - 3*c**4 + p*c + 1 + 2*c**2 - 3*c**5.
-(c - 1)*(c + 1)**4
Let a(r) be the second derivative of 0 + 0*r**3 + 0*r**2 + r + 1/48*r**4. Determine j, given that a(j) = 0.
0
Let w = -7/106 + 289/1166. Factor 0*m - 2/11 + w*m**2.
2*(m - 1)*(m + 1)/11
Let c(g) be the first derivative of -18*g**5/5 - 8*g**4 + 8*g**3/3 + 26. Solve c(q) = 0 for q.
-2, 0, 2/9
Suppose -3*q + 4*w + 11 = -24, 0 = -2*w - 4. Let t = -6 + q. Factor 2*s**3 + 3*s**4 + t*s**2 + 0*s - 3*s - 2 + 5*s**3.
(s + 1)**3*(3*s - 2)
Suppose -24 + 32 = 2*b. Factor 1/3*u + 1/2*u**2 + 0 - 1/6*u**b + 0*u**3.
-u*(u - 2)*(u + 1)**2/6
Let p(t) = -t**2 - t - 1. Suppose 2*l - 4*i = 5*l + 1, 2*i = -2*l - 2. Let w(a) = 2*a**2 + a + 2. Let r(b) = l*p(b) - w(b). Factor r(z).
(z + 1)**2
Let w(y) = -20*y**3 - 16*y**2 - 18*y - 11. Let i(o) = -7*o**3 - 5*o**2 - 6*o - 4. Let a(n) = 11*i(n) - 4*w(n). Find h, given that a(h) = 0.
-2, -1, 0
Let k = 667 - 3331/5. Suppose k + 2/5*o**2 - 6/5*o = 0. Calculate o.
1, 2
Let n = 48788717/1176 - 41487. Let r(g) be the third derivative of 0 + 0*g**5 + 0*g**4 + 0*g**3 + 1/210*g**6 + n*g**8 - 1/105*g**7 + 2*