Factor 14/9*s**3 + u*s**2 - 4/9 + 2/3*s**4 - 2/3*s.
2*(s + 1)**3*(3*s - 2)/9
Let j(v) = -v**4 - v**3 - v**2 - v + 1. Let p(u) = 10*u**4 + 19*u**3 + 21*u**2 + 13*u - 5. Let y(m) = 6*j(m) + p(m). Factor y(q).
(q + 1)**3*(4*q + 1)
Let s(b) be the first derivative of 7*b**4/2 - 20*b**3/3 + 4*b**2 + 4*b - 2. Let w(h) be the first derivative of s(h). Suppose w(t) = 0. What is t?
2/7, 2/3
Let c be (-1)/(-2) - (-3)/2. What is u in u**2 - u**3 + c*u**2 + 8 - 12*u + 3*u**2 = 0?
2
Let m(l) be the second derivative of -l**9/5040 + 3*l**8/2800 - 3*l**7/1400 + l**6/600 - l**3/3 + 2*l. Let u(p) be the second derivative of m(p). Factor u(a).
-3*a**2*(a - 1)**3/5
Determine n, given that 0*n**4 + 1/7*n**5 + 0*n - 3/7*n**3 + 0 - 2/7*n**2 = 0.
-1, 0, 2
Let l be 3/5 - 119/(-35). Suppose 3 = -3*r + l*o, 2*o = -r - o + 12. Find v such that -1/3*v**r + 0*v**2 + 0*v + 0 - 1/3*v**4 = 0.
-1, 0
Let k(j) be the first derivative of j**4/4 - j**2/2 + 6. Solve k(r) = 0.
-1, 0, 1
Determine t so that -11*t**4 + t - 16*t**4 + 28*t**4 + 3*t**3 + 3*t**2 = 0.
-1, 0
Let t = 749/9 - 83. Let y(z) be the third derivative of -1/30*z**5 + 0*z - t*z**3 + 0 - 2*z**2 - 1/4*z**4 + 1/45*z**6. Factor y(f).
2*(f - 2)*(f + 1)*(4*f + 1)/3
Suppose -2*j + 4*u = -13 + 1, 5*u + 1 = -j. Suppose -2*f + 4*n - j = -0*n, -f - 11 = -5*n. Factor g**4 + g**f - g**2 - g**2.
2*g**2*(g - 1)*(g + 1)
Let a(m) = -4*m**3 + 16*m**2 - 23*m + 8. Let z(q) = 4*q**3 - 16*q**2 + 24*q - 8. Let r(n) = 4*a(n) + 3*z(n). Factor r(s).
-4*(s - 2)*(s - 1)**2
Let a = -7 + 9. Let 8 + 4*f**a + 2*f**2 - 4*f**2 - 8*f + 0*f**2 = 0. What is f?
2
Let w(r) be the first derivative of -5*r**4/4 + 25*r**3/3 - 35*r**2/2 + 15*r + 21. Suppose w(i) = 0. Calculate i.
1, 3
Let w(h) be the second derivative of -h**2 + 0 + 2/3*h**3 - 1/6*h**4 + 7*h. Factor w(l).
-2*(l - 1)**2
Factor -3/2*g - 3/2*g**3 + 0 - 3*g**2.
-3*g*(g + 1)**2/2
Let h(b) be the third derivative of -b**5/15 - b**4/3 - 2*b**3/3 - 5*b**2. Find r, given that h(r) = 0.
-1
Let p(w) be the first derivative of w**5/40 - w**4/24 - 3*w + 3. Let y(b) be the first derivative of p(b). Factor y(d).
d**2*(d - 1)/2
Let k = -11 - -11. Suppose k*m - 17 = -5*v - m, 4*v - 5*m - 2 = 0. What is o in 2*o + 1 + 1/4*o**v + 5/4*o**2 = 0?
-2, -1
Let w(a) be the first derivative of 5 + 32*a - 36*a**2 + 18*a**3 - 27/8*a**4. Factor w(f).
-(3*f - 4)**3/2
Let t(s) be the first derivative of 1/9*s**4 - 2 + 0*s**3 + 2/15*s**5 + 0*s + 1/27*s**6 + 0*s**2. Solve t(c) = 0.
-2, -1, 0
Let l be 0/((4 + (0 - 2))/(-1)). Find c, given that 0*c**2 + 3/2*c**4 + l*c + 0 + 0*c**3 = 0.
0
Let z = -3 - -3. Suppose 3*v = -z*v + 5*r - 3, 3 = r. Let 3 + v*u**2 - u**4 - 5 - u**4 = 0. What is u?
-1, 1
Let v(g) be the third derivative of g**6/120 - g**5/20 + 2*g**3/3 - 11*g**2. Factor v(h).
(h - 2)**2*(h + 1)
Let b(f) = 11*f**2 + 6. Let u = -28 + -6. Let m(k) = 2*k**2 + 1. Let t(s) = u*m(s) + 6*b(s). What is o in t(o) = 0?
-1, 1
Let w(q) be the third derivative of q**5/3 + 4*q**4/3 - 8*q**3/3 + 41*q**2. Determine b, given that w(b) = 0.
-2, 2/5
Let s(w) = 2*w - 3. Let m be s(7). Factor 6*n + 2 - m - n**2 + 0*n**2.
-(n - 3)**2
Find r such that -2/3 + 2/9*r**5 + 4/3*r**3 + 10/9*r**4 - 14/9*r - 4/9*r**2 = 0.
-3, -1, 1
Factor 0*z + 0*z**2 + 0 + 1/7*z**4 + 1/7*z**3.
z**3*(z + 1)/7
Factor 9*h**2 + 39/5*h + 12/5 + 3/5*h**4 + 21/5*h**3.
3*(h + 1)**3*(h + 4)/5
Suppose u + 3*f = 3, 4*u - 3 = -5*f + 2*f. Let t(x) be the third derivative of 0*x + 1/24*x**4 + 0 - x**2 + u*x**3 - 1/60*x**5. Factor t(k).
-k*(k - 1)
Let i(v) be the third derivative of v**8/504 + v**7/315 - v**6/180 - v**5/90 - 6*v**2. Suppose i(q) = 0. Calculate q.
-1, 0, 1
Suppose -2*n + 4*n = -4*u + 12, -12 = 5*n - 4*u. Let h(v) be the second derivative of -1/60*v**5 + v + n + 0*v**2 - 1/18*v**3 + 1/18*v**4. Factor h(q).
-q*(q - 1)**2/3
Let h(p) = 2*p**2 + 34*p + 63. Let z be h(-15). Solve 0 + 0*w + 2/3*w**4 - 2/3*w**z - 2/3*w**2 + 2/3*w**5 = 0.
-1, 0, 1
Let c(v) = -2 + 9 - v**2 - 4*v + 0*v**2. Let j be c(-5). Let 2*g**5 - j*g**3 + 0*g**2 + 0*g**2 = 0. What is g?
-1, 0, 1
Let x(d) be the first derivative of d**6/120 - d**5/36 + d**4/36 + d**2/2 + 3. Let u(w) be the second derivative of x(w). Factor u(k).
k*(k - 1)*(3*k - 2)/3
Solve -1/2*h**3 + 1/2*h**2 + 0 + 1/2*h - 1/2*h**4 = 0.
-1, 0, 1
Factor 0*g + 0 + 1/2*g**4 + 0*g**2 + 0*g**3.
g**4/2
Let y be (2/(-5))/((-1)/5). Suppose 18 = 4*i + y. Suppose 3*d**2 - d**2 - 2*d + i*d = 0. What is d?
-1, 0
Suppose -4*i = 4*w - 1 - 11, 3*i - 9 = -4*w. Let o(d) be the first derivative of 2 - 3*d**2 + 4*d - 10/3*d**i. Factor o(t).
-2*(t + 1)*(5*t - 2)
Suppose -5*i + 2 + 8 = -2*c, 5*i - 10 = -c. Let w be 6*-1*i/(-4). Find b such that -b + 4*b**2 - 3*b**2 + 3*b**3 + 0*b**4 - 2*b**w - b**4 = 0.
-1, 0, 1
Let s(l) = -l**3 - l**2 + l. Let z(a) = -a**3 + a**2 + 2*a. Let v(b) = -20*s(b) + 5*z(b). Factor v(g).
5*g*(g + 2)*(3*g - 1)
Let l(o) = 3*o**2. Let n = -3 + 4. Let z be l(n). Suppose -2*g**4 - 2*g**3 - z*g**4 + 2*g**2 + 2*g + 3*g**4 = 0. Calculate g.
-1, 0, 1
Determine j, given that 9/2*j**2 - 5/2*j + 0 - 3/2*j**3 - 1/2*j**4 = 0.
-5, 0, 1
Suppose 0 = 3*r - 0*r - 9. Let u(i) be the second derivative of 1/2*i**3 - 1/12*i**4 - i**2 - r*i + 0. Factor u(x).
-(x - 2)*(x - 1)
Let z(p) be the second derivative of p**6/105 + 3*p**5/35 + 13*p**4/42 + 4*p**3/7 + 4*p**2/7 + 6*p + 2. Factor z(r).
2*(r + 1)**2*(r + 2)**2/7
Let f = -215 + 647/3. Factor 0*k**2 - f*k**3 + 2/3*k**5 + 0*k + 0 + 0*k**4.
2*k**3*(k - 1)*(k + 1)/3
Let u(h) be the third derivative of h**6/420 - h**5/42 + h**4/12 - h**3/7 - h**2. Factor u(x).
2*(x - 3)*(x - 1)**2/7
Let u(y) be the second derivative of -y**7/40 + 3*y**6/40 - y**5/20 - y**3/3 - 3*y. Let p(s) be the second derivative of u(s). Solve p(c) = 0 for c.
0, 2/7, 1
Let d(b) be the second derivative of b**7/84 - b**6/60 - b**5/20 + b**4/12 + b**3/12 - b**2/4 - 26*b. Solve d(y) = 0 for y.
-1, 1
Suppose -31 + 7 = -2*g. Suppose g*d = 8*d + 8. Solve 2/5*n**3 + 2/5*n + 0 + 4/5*n**d = 0.
-1, 0
Let d = -2/501 - -287/30060. Let n(x) be the third derivative of 0 + x**2 + d*x**5 + 0*x**3 - 1/36*x**4 + 0*x. Determine v, given that n(v) = 0.
0, 2
Let a(i) be the third derivative of i**7/1470 + i**6/420 - i**5/140 - i**4/21 - 2*i**3/21 - 6*i**2. Solve a(j) = 0.
-2, -1, 2
Let c(l) be the first derivative of 11/6*l**4 + 0*l + 8/5*l**5 + 1/2*l**6 + 8/9*l**3 + 1/6*l**2 + 1. Factor c(u).
u*(u + 1)**2*(3*u + 1)**2/3
Let q be 12/4 - 0/(5 + -2). Solve -3/7*u**2 + 0*u**q + 1/7*u**4 + 0 + 2/7*u = 0.
-2, 0, 1
Let c(z) be the first derivative of -z**3/3 - 13. What is i in c(i) = 0?
0
Let w(k) = k**3 - 6*k**2 + 2*k - 8. Let n be w(6). Factor -4*a**3 - a**3 + 4*a**4 - 5*a**4 - 8*a**2 - n*a.
-a*(a + 1)*(a + 2)**2
Let l(k) be the second derivative of -3*k + 0 - 32/7*k**2 - 1/140*k**5 - 8/7*k**3 - 1/7*k**4. Factor l(o).
-(o + 4)**3/7
Let t be 6/8 - (-100)/720. Solve -2/9*u**2 - 8/9 + t*u = 0 for u.
2
Factor -31 + w**3 + 75*w + 30 - 15*w**2 - 124.
(w - 5)**3
Let r be (-2)/(2 - (-8)/(-3)). Let i = r - 1. Factor -4*c**3 + c**3 + c**3 - i*c**2.
-2*c**2*(c + 1)
Let b = -4271/4 + 1131. Let v = -63 + b. Determine g so that 1/4*g - 1/4 + v*g**2 - 1/4*g**3 = 0.
-1, 1
Suppose 136 + 60 = 4*o. Suppose 9 = -5*c + o. Let 14*a**3 + 2*a**3 - c*a - 2*a**5 + 4*a**2 - 2*a**4 - 6*a**5 - 2 = 0. What is a?
-1, -1/4, 1
Let p = 82 - 408/5. Find f such that -14/5*f**3 + p - 6/5*f**2 + 6/5*f + 12/5*f**4 = 0.
-1/2, -1/3, 1
Suppose 0 + 2/9*z - 2/9*z**2 = 0. What is z?
0, 1
Find j such that 0 + 9/5*j**4 + 0*j - 9/5*j**3 - 3/5*j**5 + 3/5*j**2 = 0.
0, 1
Let v(m) be the first derivative of -m**3/2 - 15*m**2/4 + 9*m - 6. Solve v(b) = 0.
-6, 1
Let n = -109 + 111. Let p(t) be the second derivative of 1/40*t**5 - 5/12*t**3 - 1/8*t**4 + 3*t + 1/60*t**6 - 1/2*t**n + 0. What is s in p(s) = 0?
-1, 2
Let r be 3018/42 + 6/2. Let y = -74 + r. Determine p, given that 8/7*p**2 + y*p - 2/7 = 0.
-1, 1/4
Let q(z) be the third derivative of -z**9/15120 + z**8/6720 - 5*z**4/24 + 4*z**2. Let o(s) be the second derivative of q(s). Determine i, given that o(i) = 0.
0, 1
Let x = 2/45 + 41/90. Let y(l) be the first derivative of 0*l + x*l**4 + 3 - 2*l**3 + 2*l**2. Factor y(u).
2*u*(u - 2)*(u - 1)
Let n(f) be the first derivative of -1 + 11/12*f**3 + 1/4*f**2 + 9/16*f**4 + 0*f. Let n(z) = 0. Calculate z.
-1, -2/9, 0
