= -2*f(z) - 3*k(z). Factor d(y).
-(y - 1)**2*(y + 2)
Suppose 0 = -0*u + 3*u - 9. Let p be 1/(u/12*10). Factor 2/5 + 4/5*x**3 - p*x**2 - 4/5*x.
2*(x - 1)*(x + 1)*(2*x - 1)/5
Let t(c) be the first derivative of -c**5/70 + c**4/21 - c**3/21 - 5*c - 7. Let n(d) be the first derivative of t(d). Determine z, given that n(z) = 0.
0, 1
Let f(b) be the third derivative of -7*b**2 + 0*b**5 + 1/2*b**4 - 4/3*b**3 + 0 - 1/30*b**6 + 0*b. Factor f(u).
-4*(u - 1)**2*(u + 2)
Factor 9 + 2*d**2 + 0 - 7 - 4*d.
2*(d - 1)**2
Find j such that 11*j - 3*j**4 - 5*j**2 - j - 92*j**4 - 35*j**5 - 75*j**3 = 0.
-1, 0, 2/7
Factor -81/2 - 9*z - 1/2*z**2.
-(z + 9)**2/2
Suppose 0*n - 2*n = -6. Suppose 0 = n*d + 2*d. Suppose 8/7*x**2 + d*x + 4/7*x**3 - 2/7 - 4/7*x**5 - 6/7*x**4 = 0. What is x?
-1, 1/2, 1
Let u = -49 - -541/11. Let b(f) be the second derivative of 0 + u*f**2 - f - 7/66*f**4 + 5/33*f**3. Determine g so that b(g) = 0.
-2/7, 1
Let t(n) be the first derivative of -1/9*n**3 - 2/3*n + 1/2*n**2 - 2. Factor t(b).
-(b - 2)*(b - 1)/3
Solve 25/6*k**4 - 10/3*k**3 - 5/3*k**5 + 5/6*k**2 + 0 + 0*k = 0.
0, 1/2, 1
Let g = 304 + -304. Factor 2/15*x**2 + g*x + 0.
2*x**2/15
Let s = 433/65 + -32/13. Let n = -19/5 + s. Determine r, given that 0 + 2/5*r**2 - n*r = 0.
0, 1
Let g(b) be the first derivative of -3*b**5/5 + 2*b**3 - 3*b - 22. Let g(n) = 0. What is n?
-1, 1
Let b(y) be the second derivative of y**6/195 + 3*y**5/65 + y**4/6 + 4*y**3/13 + 4*y**2/13 + 6*y. Factor b(s).
2*(s + 1)**2*(s + 2)**2/13
What is k in -3/5*k**2 + 0 + 3/5*k**4 + 6/5*k**3 - 6/5*k = 0?
-2, -1, 0, 1
Solve -5*j**3 - 20*j**3 - 14*j**2 + 18*j**4 - 8 + 31*j + j - 11*j**3 = 0.
-1, 1/3, 2/3, 2
Let k(h) = -h**3 + h**2 - h. Let d(n) = 4*n**3 + 2*n**2 + 10*n + 3. Let c(v) = -d(v) - 3*k(v). Suppose c(r) = 0. Calculate r.
-3, -1
Let d = -30 - -61/2. Factor 1/4 + 1/4*z**2 + d*z.
(z + 1)**2/4
Suppose 0*a + 2 = 2*z + a, 0 = a + 2. Suppose -4*j + 32 = -y - 1, -3*j + 26 = -z*y. Factor -8*w**3 - w**5 + j*w**3 + w**4.
-w**4*(w - 1)
Factor -8/3*m + 4 - 4/3*m**2.
-4*(m - 1)*(m + 3)/3
Suppose 0 = 6*w - 2*w - 24. Let r(l) be the third derivative of -1/240*l**5 + 0 + 1/480*l**w - 2*l**2 + 1/24*l**3 - 1/96*l**4 + 0*l. Factor r(o).
(o - 1)**2*(o + 1)/4
Let l(b) be the first derivative of b**7/35 + b**6/40 - b**2 - 5. Let f(p) be the second derivative of l(p). Solve f(r) = 0 for r.
-1/2, 0
Let z = -136/3 - -698/15. Determine k so that 0 - z*k**2 + 6/5*k**3 - 2/5*k**4 + 2/5*k = 0.
0, 1
Let i(a) = -3 + 10 + 8*a + 5 - 7*a. Let b be i(-12). What is j in -1 - 4*j**4 + b - 13*j**2 - 18*j - 12*j**3 + 12*j = 0?
-1, -1/2
Let z be -1 - (-5)/((-20)/(-16)). Factor 0 + 24/7*w**4 - 18/7*w**z - 10/7*w**5 + 4/7*w**2 + 0*w.
-2*w**2*(w - 1)**2*(5*w - 2)/7
Let g(c) = c + 14. Let h be g(-10). Factor 12*x**3 + 4 - 4*x**4 - 4*x - 3 - 2*x**2 + 0*x + 13*x**h.
(x + 1)**2*(3*x - 1)**2
Let y(h) be the first derivative of -8*h**3/3 + 3*h**2/2 + 11*h - 5. Let u(g) = -9*g**2 + 3*g + 12. Let x(a) = 5*u(a) - 6*y(a). Factor x(z).
3*(z - 2)*(z + 1)
Factor -38*k**5 + 4*k**4 + 40*k**5 + k**4 - k**4.
2*k**4*(k + 2)
Let u(n) be the first derivative of 1/10*n**5 - 1/4*n**2 + 1/2*n - 1/12*n**6 + 1/4*n**4 + 1 - 1/3*n**3. Factor u(d).
-(d - 1)**3*(d + 1)**2/2
Suppose -2*t + 4 = 0, -p - 4*t + 14 = 2*p. Factor 3*u**2 + 3*u**2 - 2*u**2 - p*u**2.
2*u**2
Let s(h) be the third derivative of h**7/525 + h**6/75 + h**5/30 + h**4/30 + 8*h**2. Determine l so that s(l) = 0.
-2, -1, 0
Let o(d) = d**2. Let w(i) = 3 + 3*i - i**2 + 1 + 3*i. Let m(h) = -h. Let k(s) = 2*m(s) - w(s). Let u(g) = -k(g) - 4*o(g). Factor u(q).
-(q - 2)*(5*q + 2)
Let z(m) = -4*m**2 + 2*m + 4. Let g(y) = 20*y**2 - 11*y - 20. Let v(a) = -2*g(a) - 11*z(a). Solve v(k) = 0.
-1, 1
Let k = 36 + -34. Determine n so that -2/5*n**5 - 2/5*n**3 + 0 + 0*n - 4/5*n**4 + 0*n**k = 0.
-1, 0
Suppose 0 = -3*l + 5 + 4. Factor -2*a**3 + a**3 - a**l + 0*a**3 - 2*a**4.
-2*a**3*(a + 1)
Let y(q) be the second derivative of q**6/75 - q**5/25 + q**4/30 + 5*q. Factor y(a).
2*a**2*(a - 1)**2/5
Let s(r) be the first derivative of 2*r**3/3 - 3*r**2/2 + r - 14. Factor s(q).
(q - 1)*(2*q - 1)
Let g(w) be the third derivative of w**7/1155 + w**6/660 - w**5/330 - w**4/132 + 6*w**2. Suppose g(u) = 0. What is u?
-1, 0, 1
Let m(v) be the second derivative of v**9/25200 - 3*v**8/11200 + v**7/2100 + v**4/6 + 6*v. Let n(d) be the third derivative of m(d). Factor n(p).
3*p**2*(p - 2)*(p - 1)/5
Suppose 2/3 - 4/3*l**2 + 2/3*l**4 + 14/3*l**3 - 7/3*l**5 - 7/3*l = 0. Calculate l.
-1, 2/7, 1
Let r(o) = -2*o**3 - 4*o**2 - 2*o + 6. Let j(p) = -4*p**3 - 8*p**2 - 4*p + 11. Let k(l) = 6*j(l) - 11*r(l). Solve k(z) = 0.
-1, 0
Let m(j) be the first derivative of 2*j**5/5 - j**4 - 2*j**3/3 + 2*j**2 - 4. Factor m(l).
2*l*(l - 2)*(l - 1)*(l + 1)
Let f(u) = u**3 - u + 1. Let g(l) = 4*l**3 - 3*l**2 - 4*l + 6. Let w(j) = 3*f(j) - g(j). Let w(m) = 0. Calculate m.
-1, 1, 3
Suppose 4*r - 8 = 0, 26 = 5*h + 4*r - r. Suppose 2*v - p - 32 = 0, 2*v + h*p = 7 + 5. Solve 8/3 + 14/3*n**4 - 16/3*n - v*n**2 - 4/3*n**3 = 0.
-1, 2/7, 2
Let u(s) be the first derivative of -s**6/1440 + s**5/80 - 3*s**4/32 - s**3 + 2. Let w(i) be the third derivative of u(i). Factor w(a).
-(a - 3)**2/4
Let l(x) = 43*x + 3. Let t be l(3). Let i be t/24 + 1/(-2). Factor 0 - 8/7*n**2 + 0*n + 6/7*n**4 - 2/7*n**i + 0*n**3.
-2*n**2*(n - 2)**2*(n + 1)/7
Let z(y) = y**2 + 18*y + 74. Let m be z(-12). Factor 1/4*d**3 + 0 - 1/4*d**5 + 0*d + 1/4*d**m - 1/4*d**4.
-d**2*(d - 1)*(d + 1)**2/4
Let f(b) be the second derivative of -b**7/195 - 4*b**6/195 - 11*b**5/390 - b**4/78 - 5*b**2/2 - b. Let x(v) be the first derivative of f(v). Factor x(j).
-2*j*(j + 1)**2*(7*j + 2)/13
Let r(o) = o**3 - o**2 - 2*o + 2. Let y be r(2). Suppose 2*j + 13 = 5*u - 0*u, 0 = -2*u + 5*j + 1. Let 8 - y*w**u - 2*w - 8 - 4*w**2 = 0. Calculate w.
-1, 0
Let p(s) be the second derivative of -s**7/28 + 5*s**6/36 - 7*s**5/40 + s**4/24 + s**3/18 + 9*s. Factor p(t).
-t*(t - 1)**3*(9*t + 2)/6
What is r in -3 - 17*r**2 + r**4 + 16*r**2 + 3 = 0?
-1, 0, 1
Let n(m) be the third derivative of -m**6/60 + m**5/30 + m**4/6 + 47*m**2. Suppose n(x) = 0. What is x?
-1, 0, 2
Let b = 38 + -38. Let n(l) be the second derivative of 1/60*l**5 - 2*l + b*l**2 - 1/18*l**4 + 1/18*l**3 + 0. Factor n(t).
t*(t - 1)**2/3
Factor -u**4 - 2*u**4 - 4*u**4 + 13*u**4 - 48*u - 18 + 32*u**3 + 28*u**2.
2*(u - 1)*(u + 3)**2*(3*u + 1)
Let p be (-207)/(-54) + (-3)/9. Determine z so that -6*z**2 + 0 + 23*z**3 - 4*z - 33/2*z**4 + p*z**5 = 0.
-2/7, 0, 1, 2
Let s(b) = b**2 - 2*b - 2. Let q be s(-1). Let k be (-8)/(-10)*q*2. Let 24/5*z + k*z**3 + 8/5 - 6*z**2 = 0. Calculate z.
-1/4, 2
Let g(a) be the third derivative of 1/30*a**5 - 1/20*a**6 + 0 - 4*a**2 + 1/4*a**4 + 0*a + 1/105*a**7 - 2/3*a**3. Factor g(y).
2*(y - 2)*(y - 1)**2*(y + 1)
Let b = -39/128 - 1823/7040. Let a = -4/11 - b. Let -7/5*m - 9/5*m**3 - 3*m**2 - a = 0. What is m?
-1, -1/3
Let f be (2/4)/(189/18). Let n(y) be the second derivative of 0 + 2*y - y**3 + 1/5*y**6 + f*y**7 + 1/5*y**5 - 1/3*y**4 - y**2. Factor n(c).
2*(c - 1)*(c + 1)**4
Let q be 7 - (0 + (-2 - -6)). Let -7 + 4 + 0 - 7*w - q*w**2 + 6*w**4 + 9*w**3 - 2*w = 0. What is w?
-1, -1/2, 1
Let i(c) be the third derivative of c**6/24 - 11*c**5/12 + 5*c**4 + 30*c**3 - c**2. Let i(s) = 0. What is s?
-1, 6
Let n = 86/3 + -28. Suppose 4/3*s - n - 2/3*s**2 = 0. What is s?
1
Let i(n) be the first derivative of -4*n**2 - 6 + 0*n + 4/3*n**3 + n**4. Factor i(j).
4*j*(j - 1)*(j + 2)
Let q(i) be the first derivative of i**7/840 - i**5/240 + 3*i**2/2 + 9. Let o(v) be the second derivative of q(v). Factor o(f).
f**2*(f - 1)*(f + 1)/4
Let x = 41/66 + 1/22. Let s be (-8)/(-6)*(-6)/(-4). Find p such that -x*p - 2/3*p**s + 0 = 0.
-1, 0
Suppose -3/2*s**3 + 12 + 9*s**2 - 18*s = 0. Calculate s.
2
Suppose v + 4*v - 65 = 0. Factor -v - 2*k**5 + 2 + 2*k**4 + 4*k**3 + 11.
-2*k**3*(k - 2)*(k + 1)
Suppose -3*m + 4*f + 8 = -2*m, -4*m + 32 = -2*f. Let p be (m/(-12))/(2/(-12)). Factor t**2 - 4*t - t + p*t.
t*(t - 1)
Solve -3*u + u**2 - 2*u + 4 - 3*u - 13*u**2 = 0 for u.
-1, 1/3
Let y(d) = -4*d + 4*d + d - 3*d**2 - 2*d**3 - 3 + d**2. Let o(r) = -5*r**3 - 4*r**2 + 2*r - 7. Let q(c) = 3*o(c) - 7*y(c). Solve q(x) = 0.
0, 1
Let h(o) be the third derivative of -o**7/3780 - o**4/12 + 3*o**2. Let n(a) be the se