 + 22. Let 2/5*o**3 + 2/5*o**2 - f*o - 2/5 = 0. Calculate o.
-1, 1
Let l be (0 + -1)/1 - -5. Let d be 4 - (1 + 7 - l). Factor -3/4*v**2 + 3/4*v**4 + 3/4*v**5 - 3/4*v**3 + d*v + 0.
3*v**2*(v - 1)*(v + 1)**2/4
Let f = -104 + 73. Let m = 33 + f. Suppose 6/5*n**m + 8/5*n - 8/5 = 0. Calculate n.
-2, 2/3
Let t = 6 - 3. Suppose -2*x**3 - 3*x**2 + 4*x**2 + 2*x**t - x**3 = 0. What is x?
0, 1
Let i(c) = c**3 - 11*c**2 + 23*c + 11. Let p be i(8). Factor 1/3*g + 1/3 - 1/3*g**2 - 1/3*g**p.
-(g - 1)*(g + 1)**2/3
Let h(g) be the first derivative of 2/9*g**3 - 2 + 2*g + 1/18*g**4 + 1/3*g**2. Let o(z) be the first derivative of h(z). Factor o(n).
2*(n + 1)**2/3
Let o(v) be the second derivative of -v**6/600 + v**5/100 - 5*v**3/6 - v. Let g(p) be the second derivative of o(p). Let g(d) = 0. What is d?
0, 2
Suppose -15*c + c + 56 = 0. Suppose 11*u**2 - 10/3*u + 16/3*u**c - 40/3*u**3 + 1/3 = 0. What is u?
1/4, 1
Factor 2/5*c**2 + 4/5*c + 2/5.
2*(c + 1)**2/5
Suppose -s = 3*j + 5, 4*s - 52 = -2*j - 42. Determine a so that 0 + 0*a**2 - 1/4*a**5 + 0*a**3 + 1/4*a**s + 0*a = 0.
0, 1
Let g(x) be the first derivative of -2*x**3/15 - 28*x**2/5 - 392*x/5 + 49. Factor g(y).
-2*(y + 14)**2/5
Let d(l) = -l**2 - l. Let g(i) = 8*i**2 + 7*i. Let o(h) = -h**3 + 2*h**2 - 2. Let p be o(-2). Let v(y) = p*d(y) + 2*g(y). Find x such that v(x) = 0.
0
Suppose 7*o = 6*o + 3. Solve 0*q + 0 - 1/2*q**o + 1/2*q**4 - 1/2*q**2 + 1/2*q**5 = 0 for q.
-1, 0, 1
Let k be (-193)/5 - (-4 + 3). Let q = k + 38. Determine y, given that -2/5*y**3 + 0*y + 2/5*y**2 + 0 - q*y**4 + 2/5*y**5 = 0.
-1, 0, 1
Let z(o) be the third derivative of -4/27*o**3 + 0*o - 1/270*o**5 + 0 - 4*o**2 + 1/27*o**4. Let z(y) = 0. What is y?
2
Let j be 48/90*5/20. Find v, given that 0 - 2/15*v**3 + j*v + 0*v**2 = 0.
-1, 0, 1
Let c(r) = r**3 + r + 4. Let v be c(0). Suppose -v*h + 7 + 5 = 0. Factor -u - h*u**3 - u**4 + 0*u**4 + 0*u**3 - 3*u**2.
-u*(u + 1)**3
Let c(t) be the second derivative of -t**8/3360 - t**4/12 + t. Let g(a) be the third derivative of c(a). Find j such that g(j) = 0.
0
Let f(k) be the first derivative of k**6/27 + 4*k**5/45 - k**4/18 - 4*k**3/27 - 19. Solve f(d) = 0 for d.
-2, -1, 0, 1
Let u(x) be the first derivative of -x**4/4 - x**3/3 + 5*x**2/2 - 3*x + 10. Factor u(f).
-(f - 1)**2*(f + 3)
Suppose -35/3*o - 10 - 5/3*o**2 = 0. What is o?
-6, -1
Factor 4*g**4 - 4*g - 20*g**4 + 20*g**2 + 4*g**3 - 4*g**2.
-4*g*(g - 1)*(g + 1)*(4*g - 1)
Let j(x) be the first derivative of -x**6/120 + x**4/24 - x**2 + 1. Let y(p) be the second derivative of j(p). Factor y(i).
-i*(i - 1)*(i + 1)
Let g(k) be the first derivative of k**3/9 - k**2 + 5*k/3 - 5. Factor g(m).
(m - 5)*(m - 1)/3
Find z such that 0*z + 1/4*z**2 + 0 + 1/4*z**4 + 1/2*z**3 = 0.
-1, 0
Let v(z) = -3*z + 39. Let i be v(12). Find d such that -d**2 + 1/3*d + 2/3 + 1/3*d**4 - 1/3*d**i = 0.
-1, 1, 2
Factor 0 + 2/9*y**2 - 2/9*y.
2*y*(y - 1)/9
Let s = 235/3 - 77. What is k in 2/3*k**5 - 8/9*k**3 + 8/9*k**4 + 2/9*k - s*k**2 + 4/9 = 0?
-1, 2/3, 1
Let o(t) be the third derivative of -t**6/600 + t**5/60 - 7*t**4/120 + t**3/10 + 6*t**2. Factor o(f).
-(f - 3)*(f - 1)**2/5
Let c(b) be the second derivative of b**4/60 - 2*b**3/15 + 2*b**2/5 + 4*b. Suppose c(o) = 0. What is o?
2
Let p(j) be the third derivative of -j**7/21 + 5*j**6/24 - j**5/12 - 5*j**4/12 + 4*j**2. Factor p(k).
-5*k*(k - 2)*(k - 1)*(2*k + 1)
Let p(v) be the second derivative of v**4/18 - 2*v**3 + 27*v**2 + 8*v. Suppose p(n) = 0. Calculate n.
9
Let y(k) be the first derivative of k**3 + 3*k**2/2 - 8. Factor y(p).
3*p*(p + 1)
Suppose -3*y - 2*y + 5 = 0. Let a = y - -2. Determine o, given that 31*o**3 + o**4 - 31*o**a - o**2 = 0.
-1, 0, 1
Let i(g) = 11*g**2 + 5*g - 11. Let m be -5*1*(-9 + 10). Let o(p) = -6*p**2 - 3*p + 6. Let b(y) = m*o(y) - 3*i(y). Factor b(a).
-3*(a - 1)*(a + 1)
Let m(v) = -v**2 - 5*v - 1. Let p be m(-4). Suppose -3*b + 1 = 16, -15 = 3*l + p*b. Find o such that -1/2*o**3 + l - 1/2*o**2 + 0*o = 0.
-1, 0
Let s be -3*-5*3/30. Factor 0*m + 0 - 9/4*m**3 + s*m**2 + 3/4*m**4.
3*m**2*(m - 2)*(m - 1)/4
Let s(p) be the second derivative of p**5/110 - 7*p**4/66 + p**3/3 - 5*p**2/11 - p. Solve s(c) = 0 for c.
1, 5
Factor -4*u**3 + 74/5*u**2 + 2/5*u**4 - 24*u + 72/5.
2*(u - 3)**2*(u - 2)**2/5
Let a = -2 + 8. Let k = 8 - a. Factor 4 - 2*v**2 + k*v + 0*v - 2 - 2*v**3.
-2*(v - 1)*(v + 1)**2
Let v = -6 + 10. Factor 14*n**3 + 5*n**5 - 6*n**3 + 8*n**v + 2*n + 4*n**3 - 3*n**5 + 8*n**2.
2*n*(n + 1)**4
Let b be -8 - -6 - (-9 - 0). Factor -3 - 3*h - b*h**2 + 5*h**3 - 3*h**5 - 3*h**4 + h**3 + 13*h**2.
-3*(h - 1)**2*(h + 1)**3
Let m(a) be the second derivative of -a**7/2520 + a**6/360 + a**4/6 - 2*a. Let c(n) be the third derivative of m(n). Factor c(t).
-t*(t - 2)
Let m = -8 - -10. Factor 0*l**4 + 0*l**2 + l**3 + l**4 - 2*l**m.
l**2*(l - 1)*(l + 2)
Let i(x) = 9*x**2 + 5*x - 13. Let u(w) = -4*w**2 - 2*w + 6. Let l(g) = 6*i(g) + 13*u(g). Factor l(z).
2*z*(z + 2)
Let f be (3/5)/((-27)/(-30)). Suppose 4*q - 3 = 5*p, p = 4*q - p - 6. What is b in 2/3*b - f*b**3 + 0*b**q + 0 = 0?
-1, 0, 1
Let m(f) be the third derivative of -f**5/15 + f**4/24 - 13*f**3/6 + 3*f**2. Let c(r) = -r**2 - 3. Let x(u) = 26*c(u) - 6*m(u). Suppose x(a) = 0. Calculate a.
-3, 0
Suppose -20*h + 3*h = -51. Determine o, given that -2/3*o**h + 4/3 + 8/3*o**2 - 10/3*o = 0.
1, 2
Let 0 + 2/9*o - 2/9*o**2 = 0. Calculate o.
0, 1
Let q = -10 + 15. Suppose 4*l**4 - 2*l**3 + 5*l**5 - l**5 - l**5 - 5*l**q = 0. Calculate l.
0, 1
Let v(l) = l**5 + l**2 - 1. Let i = -2 + 1. Let j(w) = -6*w**5 + 10*w**4 - 20*w**3 + 16*w**2 - 10*w + 6. Let k(g) = i*j(g) - 4*v(g). Factor k(o).
2*(o - 1)**5
Let b(p) = -p**2 + 6*p + 10. Let i be b(7). Let z be ((-2)/6)/(i/(-18)). Factor -4*t**3 - t**4 + 2*t**z + 2*t**3 - t**4 + 2*t.
-2*t*(t - 1)*(t + 1)**2
Let k be (1/(-1))/(0 + -1). Suppose a - 3 = -k. Let a*w**3 + w**2 + 0*w**3 + 4*w**4 - 3*w**4 = 0. What is w?
-1, 0
Let k be (-2)/(-3) + (-35)/(-15). Factor 5*b + 4 - 3 + 0 + b**k - 2*b + 3*b**2.
(b + 1)**3
Let f(s) be the third derivative of -s**2 + 1/15*s**3 + 0*s + 0 - 1/600*s**6 + 1/75*s**5 - 1/24*s**4. Factor f(u).
-(u - 2)*(u - 1)**2/5
Let l = 16 + -12. Let a(r) be the first derivative of 0*r + 2 - 2/3*r**2 + 2/9*r**3 + 1/6*r**l. Factor a(n).
2*n*(n - 1)*(n + 2)/3
Let k be 9/(-18)*(-8)/18. Let w be (-9)/(-27)*4/6. Let -2/9*s**3 + k*s - w*s**4 + 0 + 2/9*s**2 = 0. Calculate s.
-1, 0, 1
Let f(u) be the second derivative of 1/30*u**4 - 2/15*u**3 - u + 1/5*u**2 + 0. Factor f(g).
2*(g - 1)**2/5
Let l = 2 + -2. Suppose 0 = 4*w - l*w + f - 20, -24 = -5*w - f. Let -3*o**3 + 2*o**2 - 2*o**2 + 3*o - o**w + 2 - o**2 = 0. Calculate o.
-2, -1, 1
Suppose -3*s = -3 - 6. Let l(g) be the second derivative of -1/12*g**4 - 2*g + 1/3*g**s + 0*g**2 + 0. Factor l(z).
-z*(z - 2)
Let j(s) be the third derivative of -s**8/1680 - s**7/420 + s**6/240 + s**5/120 - s**4/80 + 4*s**2 - 5*s. Let j(m) = 0. Calculate m.
-3, -1, 0, 1/2, 1
Suppose 2*n = -4*n + 36. Let f(b) be the second derivative of 1/2*b**5 + 1/3*b**3 + b - 2/7*b**7 + 0*b**2 - 5/6*b**4 + 0 + 1/3*b**n. Find u such that f(u) = 0.
-1, 0, 1/3, 1/2, 1
Factor 0 + 0*g + 0*g**2 + 0*g**3 - 6/11*g**5 - 2/11*g**4.
-2*g**4*(3*g + 1)/11
Let j(a) be the first derivative of -3*a**5/7 - 9*a**4/7 - 9*a**3/7 - 3*a**2/7 + 8. Let j(y) = 0. Calculate y.
-1, -2/5, 0
Let y = 12 + -2. Suppose -8*k + y = -3*k. Let 4*n**4 - k*n + 5*n**3 - 3/2*n**2 + 1/2 = 0. Calculate n.
-1, 1/4, 1/2
Let s(b) be the third derivative of 0*b - 1/60*b**5 + 1/210*b**7 + 0*b**6 + 0 + 1/48*b**4 - 1/672*b**8 + 0*b**3 - 5*b**2. Factor s(p).
-p*(p - 1)**3*(p + 1)/2
Let s = -5 + 5. Let t(o) be the third derivative of 2/315*o**7 - 2*o**2 - 1/45*o**5 - 1/72*o**4 + 0 + 0*o + 1/360*o**6 + s*o**3. What is w in t(w) = 0?
-1, -1/4, 0, 1
Let x be (-4)/(-8) + (-1)/4. Factor -1/2*r + x*r**2 + 1/4.
(r - 1)**2/4
Let a(o) = -3*o**2 - 3*o - 3. Let y be (9 + -3)*2/(-4). Let h(x) = x - 1. Let w(n) = y*h(n) + a(n). Factor w(m).
-3*m*(m + 2)
Let p(j) be the third derivative of -j**8/840 + j**7/175 - j**6/100 + j**5/150 - 6*j**2. Solve p(i) = 0 for i.
0, 1
Find d such that -7 + 4*d - 2*d**2 + 7 = 0.
0, 2
Suppose -5 = -5*p + 5. Let f(t) be the first derivative of -1/18*t**6 + 1/12*t**4 + 0*t**p + 0*t + 0*t**3 + 2 + 0*t**5. Determine j, given that f(j) = 0.
-1, 0, 1
