Let y(l) be the second derivative of 0*l**2 + 3*l - 1/24*l**f + 0 + 0*l**3. Suppose y(v) = 0. What is v?
0
Let p = 1/29 - -55/87. Factor 2/3 - p*o**3 + 2*o**2 - 2*o.
-2*(o - 1)**3/3
Let g(o) = o**3 + o**2 + 2. Let d be g(0). Let y = 20 - 15. What is k in -k**2 + y*k**d - 2*k**2 = 0?
0
Let h(v) = v**2 + 17*v + 22. Let i be h(-16). Factor 0*l + 14 - i*l - 5 + l**2.
(l - 3)**2
Let b(m) = m**5 + m**4 - 7*m**3 + 5*m**2 + 3*m - 3. Let s(f) = f**5 + 2*f**4 - 8*f**3 + 4*f**2 + 4*f - 4. Let o(z) = 4*b(z) - 3*s(z). Factor o(u).
u**2*(u - 2)**2*(u + 2)
Find j, given that -2/7*j**2 + 2/7*j**4 + 0 + 2/7*j - 2/7*j**3 = 0.
-1, 0, 1
Let n(k) be the second derivative of 0 - 2/3*k**3 + k - 1/60*k**5 + 4/3*k**2 + 1/6*k**4. Factor n(f).
-(f - 2)**3/3
Factor -2/13*o**2 + 0*o - 6/13*o**3 - 6/13*o**4 - 2/13*o**5 + 0.
-2*o**2*(o + 1)**3/13
Let s(w) be the first derivative of 0*w - 32*w**3 + 0 - 12*w**2 - 32*w**4 + 1 - 2*w. Factor s(i).
-2*(4*i + 1)**3
Let x(b) be the third derivative of 13/210*b**5 - 2/21*b**3 + 11/84*b**4 + 0*b + 6*b**2 + 0. Find s, given that x(s) = 0.
-1, 2/13
Let f = 6/7 - -11/28. Factor f*u - 3/4*u**5 + 0*u**2 - 5/2*u**3 - 5/2*u**4 + 1/2.
-(u + 1)**4*(3*u - 2)/4
Let u(w) = 3*w**2 + 10*w + 7. Let i(a) = 2*a + 23*a**2 - 14*a + 63*a - 8*a**2 + 36. Let r(m) = 4*i(m) - 21*u(m). Find y, given that r(y) = 0.
-1
Let t(c) be the third derivative of 1/8*c**4 + 1/3*c**3 - 2*c**2 + 1/60*c**5 + 0 + 0*c. Factor t(n).
(n + 1)*(n + 2)
Let j(n) be the first derivative of 0*n - 1 + 3/2*n**2 + 1/27*n**3 + 1/54*n**4 + 1/270*n**5. Let f(d) be the second derivative of j(d). Factor f(a).
2*(a + 1)**2/9
Let l be ((-32)/1456)/(1/(-7)). Suppose -2/13 + 0*j + l*j**2 = 0. What is j?
-1, 1
Suppose -5*s + 30 = 5*l, 0*s = -5*s + 10. Let m(b) be the third derivative of 1/24*b**l + 0*b + 1/60*b**5 - 1/6*b**3 - 1/120*b**6 + 0 + b**2. Factor m(p).
-(p - 1)**2*(p + 1)
Let y = -132 + 134. Let k(b) be the second derivative of 0 - 1/60*b**5 + 1/3*b**y - 2*b - 5/18*b**3 + 1/9*b**4. Determine o, given that k(o) = 0.
1, 2
Let o(d) be the first derivative of -7*d**4/6 + 4*d**3/9 + 7*d**2/3 - 4*d/3 - 1. Factor o(z).
-2*(z - 1)*(z + 1)*(7*z - 2)/3
Let q(r) = -r**3 - 10*r**2 + 12*r + 11. Let z be q(-11). Factor -4*d**2 + z*d**2 + 4*d**3 - d**4 + 0*d**3.
-d**2*(d - 2)**2
Suppose 2*k - 4*k = -12. Let b be 8/k + (-4)/(-6). Factor -b*y**3 - 2*y**2 + 3*y**2 + y**3.
-y**2*(y - 1)
Suppose 8 - 20 = -3*k. Find o such that 5*o**3 + k*o**2 - 7*o**3 + 9*o**4 - 3*o**5 - 10*o**2 - 3 + 9*o - 4*o**3 = 0.
-1, 1
Suppose l + 3 = 0, 5*h + l = -2*l + 1. Let p(k) = 7*k + 115. Let m be p(-16). Factor 2/3 - h*d**4 + 2/3*d**5 + 4/3*d**2 + 4/3*d**m - 2*d.
2*(d - 1)**4*(d + 1)/3
Let k(w) be the first derivative of w**3/3 - 3*w**2 - w + 3. Let t be k(7). Factor -6*o**3 + 1 + 0*o**2 - t*o**4 + 3 + 4*o**4 + 6*o - 2*o**2.
-2*(o - 1)*(o + 1)**2*(o + 2)
Let g(o) be the third derivative of -o**6/120 - o**4/24 + o**3/6 + o**2. Let z(y) = -7*y**3 + 4*y**2 - 11*y + 8. Let t(u) = 6*g(u) - z(u). Factor t(p).
(p - 2)*(p - 1)**2
Let h be 12/20 - 1 - (-51)/15. Let z(n) be the first derivative of -5/12*n**2 - 2/9*n**h - 1/6*n - 3. Find j, given that z(j) = 0.
-1, -1/4
Let c(y) be the third derivative of y**8/112 - y**7/210 - y**6/24 + y**5/60 + y**4/12 + 12*y**2. Find n, given that c(n) = 0.
-1, -2/3, 0, 1
Suppose 0 = -h + 4*n - 5, 3*h + 4*n - 11 = 3*n. Factor l**2 + 2*l**3 - l**3 + 0*l**2 + 9*l**4 - 7*l**h.
l**2*(3*l - 1)**2
Suppose 7*z = 3*z. Let m(y) be the second derivative of z*y**3 + 0 - 1/6*y**4 + 4/15*y**6 - 3/10*y**5 + 0*y**2 - y. Factor m(c).
2*c**2*(c - 1)*(4*c + 1)
Let g = -3 - -6. What is b in -9*b**3 - b**5 - b**4 + b**2 - 4*b**3 + 14*b**g = 0?
-1, 0, 1
What is b in 0*b + 0 - 2/9*b**2 + 2/9*b**4 + 2/9*b**5 - 2/9*b**3 = 0?
-1, 0, 1
Let c(q) be the third derivative of q**5/300 - q**3/30 + 3*q**2. Factor c(l).
(l - 1)*(l + 1)/5
Let b(h) be the third derivative of -5*h**8/336 - 2*h**7/7 - 23*h**6/12 - 5*h**5 - 125*h**4/24 - 26*h**2. Find m, given that b(m) = 0.
-5, -1, 0
Let o = -523/5 + 105. Factor 0 + o*g**3 - 2/5*g**2 + 0*g.
2*g**2*(g - 1)/5
Let z(v) = -12*v. Let u be z(-4). Let d = 146/3 - u. What is x in -1/3 - 1/3*x - 1/3*x**4 + 2/3*x**2 + d*x**3 - 1/3*x**5 = 0?
-1, 1
Let o = -2/849 + 1724/11037. Determine k, given that 0*k - o + 2/13*k**2 = 0.
-1, 1
Suppose -30 = -h - 3*b, 5*h + b - 122 = -0*b. What is a in 16 - h + 4*a**2 + 7*a - 3*a = 0?
-2, 1
Let b(r) = 2*r**2 - 2. Let p(g) = g - 1. Let l(o) = 6*o - 4. Let d(j) = -l(j) + 5*p(j). Let c(f) = b(f) - 2*d(f). Factor c(a).
2*a*(a + 1)
Suppose -2*k = -k + 4*l - 67, 2*k = -4*l + 142. Factor 4 + 30*n**4 - 30*n - 145/2*n**3 + k*n**2 - 9/2*n**5.
-(n - 2)**3*(3*n - 1)**2/2
Let i(p) = -7*p**2 - 3*p + 9. Let w(x) = 20*x**2 + 8*x - 26. Let n(s) = 14*i(s) + 5*w(s). Let n(g) = 0. Calculate g.
-1, 2
Let z be 1/(-45)*54/(-36). Let s(o) be the second derivative of -2/9*o**3 + 0 - 1/6*o**4 + 0*o**2 + 2*o - z*o**5. What is g in s(g) = 0?
-2, -1, 0
Let v(t) = 6*t + 2*t**2 + 2 - 17*t - 1 - t**2. Let b(h) = -3*h**2 + 21*h - 3. Let x(d) = -3*b(d) - 5*v(d). Factor x(z).
4*(z - 1)**2
Let t = -36 - -41. Factor 2*k**2 - 1/6*k**t + 0 + k**4 - 13/6*k**3 - 2/3*k.
-k*(k - 2)**2*(k - 1)**2/6
Let s(d) be the second derivative of -2/5*d**5 + 0 + 0*d**4 + 2/3*d**3 + 0*d**6 - 7*d + 2/21*d**7 + 0*d**2. Determine z so that s(z) = 0.
-1, 0, 1
Let j be 4 - (-3 - (-1 - 2)). Let z be (-2 - (-48)/20)*j. Factor -8/5 + z*y - 2/5*y**2.
-2*(y - 2)**2/5
Suppose 0*g = -g + 1. Let d be 4/g - (-1 + 2). Factor -18*f**2 + 16*f**d + 6*f**5 - 13*f**3 - 22*f**4 + 27*f**3 + 4*f.
2*f*(f - 1)**3*(3*f - 2)
Let k(j) be the third derivative of 0*j**4 + 0 + j**2 + 1/330*j**5 + 0*j**3 + 0*j. Factor k(p).
2*p**2/11
Let j be (11/77)/(360/14). Let h(a) be the third derivative of 0*a - 3*a**2 + 0 - 1/18*a**3 + 0*a**4 + j*a**5. Find y such that h(y) = 0.
-1, 1
Let 119*b**3 + 8*b - 146*b**3 + 6*b**4 - 6*b**2 + 3*b**5 + 16*b = 0. What is b?
-4, -1, 0, 1, 2
Let w(j) = j**2. Let k(s) = -s**5 + 4*s**4 - s**3 - 9*s**2 + 4*s + 8. Let g(q) = -k(q) + w(q). Factor g(v).
(v - 2)**3*(v + 1)**2
Suppose -5*l**4 + 19*l**3 + 64*l**2 - 34*l**2 - 5*l**3 + 11*l**3 = 0. Calculate l.
-1, 0, 6
Let r(h) be the first derivative of 0*h**2 - 2 + 0*h**6 + 0*h**4 - 2*h + 1/63*h**7 + 0*h**3 - 1/30*h**5. Let t(s) be the first derivative of r(s). Factor t(q).
2*q**3*(q - 1)*(q + 1)/3
Let l = -8 + 10. Suppose -2*h**4 + h**4 + l*h**2 - h**4 = 0. What is h?
-1, 0, 1
Let w(k) be the second derivative of -k**7/84 + k**6/45 + k**5/120 - k**4/36 - 17*k. Factor w(b).
-b**2*(b - 1)**2*(3*b + 2)/6
Let b(z) be the third derivative of 1/40*z**5 + 0*z - 1/16*z**4 + 7*z**2 + 0 - 1/2*z**3. Factor b(h).
3*(h - 2)*(h + 1)/2
Let b(j) = -10*j + 103. Let l be b(10). Factor 3/4*p**2 - l + 3*p - 3/4*p**3.
-3*(p - 2)*(p - 1)*(p + 2)/4
Let i(z) be the third derivative of -z**6/40 - 3*z**5/20 + z**4/8 + 3*z**3/2 - 10*z**2. Solve i(c) = 0.
-3, -1, 1
Factor -10*j**3 + 5*j**3 - 9*j**3 - 24*j**2 - 6*j + 4.
-2*(j + 1)**2*(7*j - 2)
Suppose -2*f + 3*f = -5*d + 19, -4*d = -5*f - 21. Determine g, given that 1/2*g**d - 3/2*g**3 + 3/2*g**2 - 1/2*g + 0 = 0.
0, 1
Factor 1/6*z**3 - 1/6*z**2 + 0*z + 0.
z**2*(z - 1)/6
Let b(a) = -a**2 + 8*a - 4. Let h be b(7). Let -2*r - r**h + 0*r**3 + 0*r**3 + 3*r = 0. What is r?
-1, 0, 1
Suppose 3*a = -5*v - 71, -a + v - 29 = -0*a. Let w be (a/(-36))/(1/4). Factor -2/5*j**2 + 2/5*j**w + 2/5 - 2/5*j.
2*(j - 1)**2*(j + 1)/5
Let a(d) = -3*d - 14. Let q be a(-6). Factor 4*r + 2*r**4 + 2 - r**3 - 4*r**q - 3*r**3.
-2*(r - 1)*(r + 1)**3
Let x(t) be the first derivative of 4*t**3/3 + 7*t**2 + 6*t + 25. What is k in x(k) = 0?
-3, -1/2
Let x be ((-2)/3 - 0) + -9 + 10. Factor -1/3*w + x*w**3 + w**2 - 2/3 - 1/3*w**4.
-(w - 2)*(w - 1)*(w + 1)**2/3
Let i(o) be the second derivative of -2/3*o**4 + 0 - 2*o**2 - o - 5/3*o**3 - 1/10*o**5. Factor i(m).
-2*(m + 1)**2*(m + 2)
Let p = 7 - 4. Let m be p/3*1*2. Let -3*a**2 + 4 + 2*a**m - 2*a + 0 - a**2 = 0. Calculate a.
-2, 1
Suppose -2 + 13 = 2*k + n, -3*k - 4*n = -29. Suppose 6 = -2*s - 5*b, -k = s + 4*b + 3. Find z such that -4*z**2 + 13*z**s + 3*z**3 + 2*z + 0*z - 14*z**4 = 0.
-1/2, -2/7, 0, 1
Let g(v) = -9*v**4 - 26*v**3 - 8*v. Suppose 0 = -2*a - 0*a + 10. Let s(m) = -6*m**4 - 17*m**3 - 5*m. Let l(z) = a*g(z) - 8*s(z). Solve l(c) =