 that x(c) = 0.
-1, 1
Let q(c) = c**2 + 12*c + 11. Suppose -3*h - 2*h - 54 = 4*p, -26 = 2*p + 2*h. Let f be q(p). Factor 3/2*d - 3/2*d**3 + 3/4 + f*d**2 - 3/4*d**4.
-3*(d - 1)*(d + 1)**3/4
Let y(k) be the third derivative of -k**7/420 + k**6/60 + k**5/20 - k**4/12 - 5*k**3/12 - 4*k**2. Solve y(u) = 0.
-1, 1, 5
Suppose x - 18 = 2*o - 7, -o = -4*x + 16. Let f(n) be the third derivative of 5/48*n**4 + 0*n - 1/6*n**x + 0 - 1/40*n**5 + n**2. Factor f(i).
-(i - 1)*(3*i - 2)/2
Let g(k) = k. Let y be g(-4). Let h(o) = o**2 + 3*o. Let a(b) be the third derivative of -b**5/60 - b**4/12 + 7*b**2. Let l(q) = y*a(q) - 3*h(q). Factor l(x).
x*(x - 1)
Let c(u) be the third derivative of u**6/240 - u**4/16 - u**3/6 + 5*u**2. Factor c(v).
(v - 2)*(v + 1)**2/2
Let u(q) = -5*q**3 + 22*q**2 - 13. Let a(s) = -5*s**3 + 21*s**2 - 14. Let w(z) = -7*a(z) + 6*u(z). Let w(y) = 0. Calculate y.
-1, 2
Factor -9/4*x**2 + 1/4*x**3 + 1/2 + 3/4*x + 3/4*x**4.
(x - 1)**2*(x + 2)*(3*x + 1)/4
Let k(h) = h**2 - 9*h + 10. Let n be k(8). Suppose 10 = -4*r - n*l + 32, -5*l = 4*r - 31. Solve -2/7*t**r - 2/7*t**3 + 0 + 0*t + 2/7*t**2 + 2/7*t**5 = 0 for t.
-1, 0, 1
Factor -2/9*r**2 + 0*r**3 + 0 + 0*r + 2/9*r**4.
2*r**2*(r - 1)*(r + 1)/9
Let z be (-26)/(-8) - (-2)/(-8). Factor 0*l + 1/4*l**2 + 0 - 1/4*l**z + 1/4*l**5 - 1/4*l**4.
l**2*(l - 1)**2*(l + 1)/4
Let m(d) be the second derivative of d**8/3360 - d**7/1260 - d**6/360 + d**5/60 - d**4/4 - 2*d. Let p(z) be the third derivative of m(z). Factor p(l).
2*(l - 1)**2*(l + 1)
Find k such that 30*k**2 + 21/2*k - 9/2 = 0.
-3/5, 1/4
Suppose 4 = -2*p + 4*l, 0*p + 10 = p + 4*l. Let 0 + 30*u**p - 4*u - 63*u**3 + 49/2*u**4 = 0. What is u?
0, 2/7, 2
Let h = -19 + 21. Let t(j) be the second derivative of 0*j**4 - 1/21*j**7 + 0*j**3 + 2/15*j**6 - 1/10*j**5 + 2*j + 0*j**h + 0. Factor t(k).
-2*k**3*(k - 1)**2
Suppose 0 = 5*u - 11 - 9. What is l in -u*l**2 + 5*l**2 + 2*l**2 - 3*l - 1 - l**3 + 2 = 0?
1
Let m(g) be the second derivative of -4*g - 1/21*g**7 + 2/15*g**6 + 0 + 0*g**2 + 1/3*g**3 - 1/3*g**4 + 0*g**5. Factor m(c).
-2*c*(c - 1)**3*(c + 1)
Factor 0 + 12/5*b + 0*b**2 - 3/5*b**3.
-3*b*(b - 2)*(b + 2)/5
Factor -1/2*g**3 + 2*g + 2 - 1/2*g**2.
-(g - 2)*(g + 1)*(g + 2)/2
Let t(q) be the second derivative of 0 + q + 1/10*q**2 + 0*q**3 - 1/60*q**4. Factor t(a).
-(a - 1)*(a + 1)/5
Factor 0 - 10/9*u**2 - 4/9*u.
-2*u*(5*u + 2)/9
Factor 3 - 1 + 1 + 42*s**2 - 45*s**2.
-3*(s - 1)*(s + 1)
Let i(s) = -11*s + 10*s**2 + 6*s + 7*s - 11. Let p = 19 + -41. Let r(z) = -z**2 + 1. Let q(l) = p*r(l) - 2*i(l). Factor q(a).
2*a*(a - 2)
Factor 32/7*c**2 + 8/7*c**3 + 2/7*c**5 - 64/7*c + 32/7 - 10/7*c**4.
2*(c - 2)**3*(c - 1)*(c + 2)/7
Let l = 5/74 - -113/518. Determine m so that -l*m**4 + 2/7*m**5 + 0 - 2/7*m**3 + 2/7*m**2 + 0*m = 0.
-1, 0, 1
Let w(t) be the second derivative of -t**7/105 + t**6/15 - t**5/5 + t**4/3 - t**3/3 + t**2/5 - t. Factor w(f).
-2*(f - 1)**5/5
Let h(b) be the third derivative of 1/105*b**7 + 4/3*b**3 - 1/10*b**5 + 1/3*b**4 + 4*b**2 - 1/30*b**6 + 0*b + 0. Solve h(y) = 0.
-1, 2
Let o be 0 - (382/84 - 3). Let g = o - -11/6. Solve 0 - g*q**2 + 2/7*q = 0.
0, 1
Let z(a) be the second derivative of -a**6/105 + a**5/70 + a**4/42 - a**3/21 - 6*a. Factor z(b).
-2*b*(b - 1)**2*(b + 1)/7
Let t(z) be the third derivative of z**5/150 + z**4/60 - 2*z**3/5 - z**2. Find m such that t(m) = 0.
-3, 2
Suppose 0 = 5*g - 2*g + 24. Let y be (6 + -2)/(g/(-4)). Factor 0 + 1/2*i**y - 7/4*i**3 + 0*i.
-i**2*(7*i - 2)/4
Let g(m) be the second derivative of -m**8/1344 + m**7/840 + m**6/480 - m**5/240 + m**2 + 2*m. Let p(d) be the first derivative of g(d). Factor p(a).
-a**2*(a - 1)**2*(a + 1)/4
Let u = 732/7 + -103. Let x = -5/21 + u. Factor 0 - x*s**2 - 2/3*s**3 - 2/3*s.
-2*s*(s + 1)**2/3
Factor 4/5*d + 2/5*d**2 + 0 - 2/5*d**3.
-2*d*(d - 2)*(d + 1)/5
Let n be 27/120*4 - (-3)/(-4). Let v(b) be the first derivative of -6/5*b + 9/10*b**2 - n*b**4 + 0*b**3 - 2. Factor v(p).
-3*(p - 1)**2*(p + 2)/5
Let u(s) be the first derivative of 1/10*s**5 - 1/3*s**3 + 0*s**2 + 1/6*s**4 - 1 + 4*s - 1/15*s**6. Let t(c) be the first derivative of u(c). Factor t(r).
-2*r*(r - 1)**2*(r + 1)
Let r(g) = g - 1. Let b(t) = -2*t**2 - t**2 - 26 + t**2 + 10 + 2*t. Let c(n) = b(n) - 10*r(n). Factor c(q).
-2*(q + 1)*(q + 3)
Let q be (6/(-34))/(10/(-26)). Let h = q - 1/17. What is v in -14/5*v**2 - h - 2*v - 6/5*v**3 = 0?
-1, -1/3
Let a(n) be the first derivative of n**7/4620 - n**6/990 + n**5/660 - n**3/3 + 4. Let m(b) be the third derivative of a(b). Factor m(y).
2*y*(y - 1)**2/11
Let d(i) = -1. Let m(j) be the second derivative of j**4/4 + 3*j**2 + 5*j. Let a(n) = -6*d(n) - m(n). Factor a(u).
-3*u**2
Let f be 2/8 + 44/16. Suppose 4*a = -f*x + 5, -4*x + x = -4*a + 11. Factor 11*s**2 - 12*s - 7 - 1 - 12*s + 3*s**a.
2*(s - 2)*(7*s + 2)
Let b(v) be the second derivative of -1/6*v**4 + 0*v**3 + 0 - v + 0*v**2. Let c(f) = -6*f**2 + 1. Let t(n) = 5*b(n) - 2*c(n). Determine o, given that t(o) = 0.
-1, 1
Suppose 0 = 2*x + 5*n + 25, -14 = x + 3*n + 1. Solve x + 2/9*a**3 + 0*a**2 + 0*a = 0.
0
Let u(b) be the second derivative of -b**5/150 - b**4/45 + b**3/45 + 2*b**2/15 + 16*b. Suppose u(v) = 0. What is v?
-2, -1, 1
Let p(l) = l**2 + l + 1. Let a(t) = -8*t**2 - 10*t - 8. Let y(s) = a(s) + 6*p(s). Find v, given that y(v) = 0.
-1
Factor -17*c + 2*c**2 + 11*c + 2*c + 6*c.
2*c*(c + 1)
Let t(h) = -10*h**2 + 3*h - 1. Let a be t(1). Let s be (-4)/a*(-1 - -1). Find r such that 6/5 - 9/5*r + s*r**2 + 3/5*r**3 = 0.
-2, 1
Let h(f) = f**3 + 5*f**2 + f + 5. Let u be h(-5). Suppose -5*s + 6*s = u. Determine n, given that s - 1/3*n**2 + 1/3*n**4 + 0*n**3 + 0*n = 0.
-1, 0, 1
Let l(q) be the second derivative of -q**5/30 + q**4/18 + q**3/9 - q**2/3 + 12*q. Solve l(w) = 0.
-1, 1
Let h(x) = 142*x**3 + 3*x**2 + 2*x + 1. Let w be h(-1). Let o = w - -424/3. Factor -f**2 + o*f + 4/3.
-(f - 2)*(3*f + 2)/3
Let w(k) = k**2 - 12*k + 15. Let q be w(11). Suppose -4*d - q = 3*x - 7*x, -x = -3. What is r in -2 + 16*r + 3 - 1 - 32*r**d - 2 = 0?
1/4
Let h(p) = -p**3 + 3*p**2 + p + 3. Let x be h(3). Let o(j) = j**2 - 5*j - 4. Let b be o(x). Factor 2/5*r**3 + 2/5*r - 4/5*r**b + 0.
2*r*(r - 1)**2/5
Let z = -58 + 417/4. Let m = z - 46. Let -1/4*p + 1/4*p**3 - 1/4*p**2 + m = 0. What is p?
-1, 1
Let t(b) be the second derivative of b**6/30 + b**5/10 - b**4/12 - b**3/3 - 8*b. Factor t(l).
l*(l - 1)*(l + 1)*(l + 2)
Let d(l) = -2*l**5 + 2*l**4 - 6*l**2 - 6. Let y(z) = 2*z**5 - 2*z**4 + 5*z**2 + 5. Let v = 14 - 8. Let m(i) = v*y(i) + 5*d(i). Determine w, given that m(w) = 0.
0, 1
Factor 0 - 3/5*c**2 + 3/5*c.
-3*c*(c - 1)/5
Factor 2/15*h**2 + 0*h + 0*h**3 - 2/15*h**4 + 0.
-2*h**2*(h - 1)*(h + 1)/15
Let t(h) be the first derivative of 5*h**6/6 - 9*h**5/5 + 6*h**4/5 - 4*h**3/15 + 15. Factor t(o).
o**2*(o - 1)*(5*o - 2)**2/5
Factor -1/3*v**4 + 1/3*v**2 + 0 - 1/3*v**3 + 1/3*v.
-v*(v - 1)*(v + 1)**2/3
Let t be 2/7*(0 - -7). Suppose -t*z + 30 = 4*z. Find f such that 3/2*f**2 + 3/4*f**z - 3/2 + 9/4*f - 3*f**3 + 0*f**4 = 0.
-2, -1, 1
Let k be 6/15 - (-57)/(-90). Let i = k - -29/10. Solve -10/3*f**2 + 2/3 + i*f**4 + 2*f**3 - 2*f = 0.
-1, 1/4, 1
Suppose -4*t + l + 8 = 0, -3*t + 2*l = -5*t + 4. Determine h, given that 3 - 11*h + 5*h + 5*h**t - 3*h**2 + 1 = 0.
1, 2
Find k such that 3/8*k + 3/8*k**2 + 0 = 0.
-1, 0
Let p(j) = 2*j**2 + 30*j - 14. Let k(w) = w - 1. Let z(m) = 44*k(m) - 2*p(m). Find a, given that z(a) = 0.
-2
Suppose 5*m - 10 = b + m, 2*b - m - 1 = 0. Factor -x**b - 31*x + 31*x + 1.
-(x - 1)*(x + 1)
Let c = 586/9 - 65. Let v(b) be the second derivative of c*b**3 + 1/6*b**2 + 0 + 2*b + 0*b**4 - 1/90*b**6 - 1/30*b**5. Determine s, given that v(s) = 0.
-1, 1
Let o(s) be the third derivative of s**9/181440 + s**8/60480 + s**5/20 + 2*s**2. Let m(y) be the third derivative of o(y). Suppose m(a) = 0. What is a?
-1, 0
Suppose -3*u**2 + u**4 + 2*u**2 - 2*u**2 + 2*u**2 = 0. What is u?
-1, 0, 1
Let f(k) be the second derivative of -k**7/7560 + k**5/360 + 5*k**4/6 - 5*k. Let s(v) be the third derivative of f(v). Find u, given that s(u) = 0.
-1, 1
Let l(m) be the second derivative of m**4/24 - m**3/12 - m**2/2 - 6*m. Factor l(i).
(i - 2)*(i + 1)/2
Let c(a) be the third derivative of a**8/560 - a**7/70 + a**6/40 + a**5/10 - a**4/2 + 7*a**3/6 - 7*a**2. Let x(z) be the first 