 = 0. Calculate r.
-1, 1
Let u = -55/2 + 29. What is f in 3/2*f - u*f**2 - 1/2 + 1/2*f**3 = 0?
1
Factor 4/9*o**2 + 2/9*o**3 + 2/9*o + 0.
2*o*(o + 1)**2/9
Let z(f) be the second derivative of -f**6/5 - 3*f**5/10 + f**4/6 + 11*f**3/27 + 2*f**2/9 - 10*f. Determine h, given that z(h) = 0.
-1, -1/3, 2/3
Let z = 13 - 8. Let r be z + 6*(-2)/4. Factor r*m**2 - 2/3 - 4/3*m**3 + 0*m.
-2*(m - 1)**2*(2*m + 1)/3
Let c(j) = 13*j**3 + 3*j**2 + 9*j + 17. Let l be c(-5). Let m = -4684/3 - l. Let 0 + 30*i**3 - 16*i**2 + 8/3*i - m*i**4 = 0. What is i?
0, 2/5, 1
Factor 30/7*s**3 + 2/7*s**2 + 2*s**5 + 38/7*s**4 - 4/7*s + 0.
2*s*(s + 1)**3*(7*s - 2)/7
Let s = -3407/24 + 142. Let q(x) be the second derivative of -3*x + 0 - 1/2*x**2 + s*x**4 - 1/12*x**3. Factor q(j).
(j - 2)*(j + 1)/2
Let c = -273 + 273. Find r such that c + 0*r**4 + 0*r - 1/2*r**3 - 1/3*r**2 + 1/6*r**5 = 0.
-1, 0, 2
Let f(j) = 5*j**2 + 1. Let d be f(-1). Suppose -13*x**3 + 14*x**4 + 3*x**3 + x**2 - d*x**5 + x**2 = 0. Calculate x.
0, 1/3, 1
Let d be (-5)/(3 + -4 - -2). Let z = -2 - d. Factor 3*a**3 + a**2 + a**z - 3*a**3.
a**2*(a + 1)
Let k(z) be the second derivative of -5*z**7/42 + z**6/6 + 2*z**5 - 5*z**4 + 32*z. Factor k(s).
-5*s**2*(s - 2)**2*(s + 3)
Let 0*c + 0 - 2/3*c**2 - 8/3*c**3 = 0. What is c?
-1/4, 0
Let q(g) be the first derivative of -g**5/45 + g**4/12 - g**3/27 - g**2/6 + 2*g/9 - 11. Determine i, given that q(i) = 0.
-1, 1, 2
Factor q**4 - 10*q**4 + 7*q**4.
-2*q**4
Let u(z) be the first derivative of 1/8*z**6 + 0*z**2 + 3/20*z**5 - 5 - 1/4*z**3 - 3/16*z**4 + 0*z. Factor u(v).
3*v**2*(v - 1)*(v + 1)**2/4
Suppose -14/5*j**5 + 28/5 + 88/5*j**4 + 88/5*j**3 - 74/5*j - 116/5*j**2 = 0. What is j?
-1, 2/7, 1, 7
Suppose 0 = -2*u + 58 + 30. Factor -4*g + 12*g**4 + 32 + 7*g**3 - u*g + 9*g**3 - 24*g**2 + 12*g**3.
4*(g - 1)*(g + 2)**2*(3*g - 2)
Let j = -79 + 83. Let d(q) be the first derivative of 0*q**3 - 1/14*q**j + 3/7*q**2 + 1 + 4/7*q. Determine c so that d(c) = 0.
-1, 2
Suppose t + 4 = 3*t. Factor t*r**2 - 2*r - r + 2*r - r**3.
-r*(r - 1)**2
Suppose 4 + 8 = 2*r. Let q be 27/r + (-2)/(-4). Factor 0*w**3 - w**q + 0 - w**3 + 0 - 2*w**4.
-w**3*(w + 1)**2
Let m be (-10)/(-25) - 16/(-10). Suppose -4*r = -h - 5, -5*h - 15 = r - m*h. Suppose 2/9*z**4 + 0*z + 0 - 2/9*z**2 + r*z**3 = 0. What is z?
-1, 0, 1
Let m(y) be the first derivative of y**4 + 0*y**2 - 9 - 2/3*y**3 - 2/5*y**5 + 0*y. Solve m(h) = 0.
0, 1
Let z be (0/(6/(-3)))/(-2). Let t(f) be the second derivative of z*f**3 - 2*f + 0*f**5 + 0*f**2 + 0 + 1/75*f**6 - 1/30*f**4. Determine x, given that t(x) = 0.
-1, 0, 1
Let d(b) be the third derivative of 2*b**7/315 - b**6/90 - b**5/15 + b**4/18 + 4*b**3/9 - 25*b**2. Determine y, given that d(y) = 0.
-1, 1, 2
Let m be ((-3)/(-2))/((-18)/24). Let p = 4 + m. Determine z so that -2*z**p - 3*z**3 + 7*z**3 + 0*z**3 = 0.
0, 1/2
Let g be 120/126 - 8/28. What is t in 0 + 0*t**2 + 0*t + 0*t**4 + 2/3*t**3 - g*t**5 = 0?
-1, 0, 1
Let r(y) be the second derivative of y**6/15 - 2*y**5/5 + y**4 - 4*y**3/3 + y**2 + 3*y. Solve r(i) = 0 for i.
1
Let n(t) = -2*t**2 - 33*t - 13. Let w be n(-16). Let k(o) be the third derivative of 0 + 1/21*o**w - 1/42*o**4 + 1/210*o**5 + 2*o**2 + 0*o. Factor k(u).
2*(u - 1)**2/7
Let h(s) = -53*s**4 + 29*s**3 + 26*s**2 - 2*s - 5. Let x(j) = 52*j**4 - 28*j**3 - 25*j**2 + j + 4. Let a(n) = -4*h(n) - 5*x(n). Solve a(g) = 0 for g.
-1/4, 0, 1
Let d be 3/3*(-8)/(-2). Let t(q) be the first derivative of 0*q + 0*q**3 - 1/2*q**d + q**2 - 1. Factor t(c).
-2*c*(c - 1)*(c + 1)
Let y(t) be the first derivative of -t**4/40 + t**3/6 - 3*t**2/20 - 9*t/10 + 5. Factor y(f).
-(f - 3)**2*(f + 1)/10
Solve 0 - 1/3*d**4 + 0*d - 1/3*d**3 + 0*d**2 = 0 for d.
-1, 0
Determine g so that -g + 1/4*g**2 - 1 + 1/4*g**3 = 0.
-2, -1, 2
Suppose 0*w - 2*i = -4*w + 22, -29 = -5*w + 3*i. Factor 75*z**3 - 77*z**3 - 4*z**w + 2*z**2 - 3*z + 3*z.
-2*z**2*(z + 1)*(2*z - 1)
Let l = 3 - 6. Let a(u) = -u**2. Let k(t) be the third derivative of t**5/30 - t**4/12 - t**2. Let w(g) = l*a(g) - k(g). Let w(c) = 0. Calculate c.
-2, 0
Determine i, given that -2*i**3 + 2*i**2 + 2*i + 19*i**2 - 23*i**2 + 2 = 0.
-1, 1
Factor 1/4*c**4 - 3/4*c**3 + 1/4*c**2 + 3/4*c - 1/2.
(c - 2)*(c - 1)**2*(c + 1)/4
Let c(v) = 10*v**5 - 8*v**4 - 2*v**3 + 12*v + 12. Let m(w) = -w**5 + w**4 - w - 1. Let f(o) = c(o) + 12*m(o). Factor f(k).
-2*k**3*(k - 1)**2
Suppose -j + 13 = -0*l + 2*l, 0 = j + l - 8. Let -12*b**j + 3*b**4 - 12*b**2 + b**4 + 9*b**2 + 11*b**2 = 0. Calculate b.
0, 1, 2
Determine y, given that 3*y**2 + y - 5*y + y**2 - 8*y**2 = 0.
-1, 0
Let h(d) be the second derivative of -1/2*d**2 + 0*d**4 + 1/120*d**5 + 0 + 1/240*d**6 + 0*d**3 - d. Let y(q) be the first derivative of h(q). Solve y(k) = 0.
-1, 0
Let s be 0 - (1 - -5)/(-216). Let a(f) be the second derivative of 3*f + s*f**4 + 0 + 0*f**2 + 0*f**3. Factor a(g).
g**2/3
Let x be (2 + (-10)/11)/(9/6). Find b, given that 4/11*b**3 + 24/11*b + 18/11*b**2 + x = 0.
-2, -1/2
Let q(t) be the first derivative of -3*t**7/28 + 7*t**6/20 - 3*t**5/8 + t**4/8 + 4*t - 6. Let w(c) be the first derivative of q(c). Factor w(l).
-3*l**2*(l - 1)**2*(3*l - 1)/2
Let v(b) be the first derivative of b**8/5880 + b**7/1470 - b**6/1260 - b**5/210 + 4*b**3/3 + 1. Let g(d) be the third derivative of v(d). Factor g(p).
2*p*(p - 1)*(p + 1)*(p + 2)/7
Let m(l) be the third derivative of -l**6/20 + l**5/20 + l**4/8 - 9*l**2. Factor m(v).
-3*v*(v - 1)*(2*v + 1)
Let h(r) be the third derivative of -r**6/240 - r**5/120 - 10*r**2. Determine m, given that h(m) = 0.
-1, 0
Let k = 147 - 139. Let m(a) = a. Let n be m(6). Factor 0*q**3 - 7*q**3 + 2 - 7*q**3 + n*q**3 + 2*q**4 - k*q + 12*q**2.
2*(q - 1)**4
Let w(p) be the first derivative of p**6/12 - 2*p**5/5 + p**4/2 + p**3/3 - 5*p**2/4 + p + 5. Find g such that w(g) = 0.
-1, 1, 2
Let m(s) = -3*s**3 + 8*s**2 - 8*s - 2. Let k(i) = 16*i**3 - 41*i**2 + 40*i + 11. Let n(g) = 6*k(g) + 33*m(g). What is f in n(f) = 0?
0, 2, 4
Let b(p) be the second derivative of 3*p - 1/63*p**7 + 0*p**2 + 0*p**5 + 2/45*p**6 + 0 - 1/9*p**4 + 1/9*p**3. Factor b(n).
-2*n*(n - 1)**3*(n + 1)/3
Factor 48/7*r + 3/7*r**2 + 192/7.
3*(r + 8)**2/7
Let h be (-7)/9 + -13 + 14. Find s, given that h*s - 4/9*s**2 + 0 + 2/9*s**3 = 0.
0, 1
Let p(s) = 2*s**2 + 17*s - 12. Let u(l) = -9*l**2 - 84*l + 60. Let i(j) = 24*p(j) + 5*u(j). Let i(h) = 0. What is h?
2
Factor 2*r**3 - 2 + 21/2*r - 21/2*r**2.
(r - 4)*(r - 1)*(4*r - 1)/2
Factor -12/5*g**3 - 2/5 - 16/5*g - 26/5*g**2.
-2*(g + 1)**2*(6*g + 1)/5
Let d(v) be the second derivative of 0*v**3 + 2*v - 2/105*v**7 + 1/25*v**5 + 2/75*v**6 - 1/15*v**4 + 0*v**2 + 0. Factor d(l).
-4*l**2*(l - 1)**2*(l + 1)/5
Suppose 1 = 5*k + 3*r - 12, -k + 2*r = 0. Suppose 3/2*n - 5/4*n**k - 1/4 = 0. Calculate n.
1/5, 1
Let j(y) = y**3 + 9*y**2 + 2. Let w be j(-9). Let t be 3/(7/4 - 1). Factor -t*p + p - w*p**2 + p.
-2*p*(p + 1)
Let g(l) be the third derivative of -l**7/70 + l**6/40 + 3*l**5/20 - 5*l**4/8 + l**3 - 3*l**2. Factor g(s).
-3*(s - 1)**3*(s + 2)
Let a(p) be the first derivative of p - 1/3*p**3 + 1/2*p**2 - 1/4*p**4 - 5. Solve a(j) = 0.
-1, 1
Factor 0*h**2 + 1/3 - 2/3*h - 1/3*h**4 + 2/3*h**3.
-(h - 1)**3*(h + 1)/3
Let d(v) be the first derivative of 2*v**5/75 + v**4/10 + 2*v**3/15 + v**2/15 + 13. Determine x so that d(x) = 0.
-1, 0
Let f be (-1 - -9)*21/12. Let p = -14 + f. Factor p - 1/2*n**3 + 0*n**2 + 0*n**4 + 1/4*n + 1/4*n**5.
n*(n - 1)**2*(n + 1)**2/4
Let r(x) be the second derivative of -17/9*x**4 - 2/3*x**2 + 2*x + 0 - 5/3*x**3 - 7/10*x**5. Solve r(v) = 0.
-1, -1/3, -2/7
Let g(k) = 4*k**5 + 6*k**4 + 5*k**3 + k**2 - 3*k + 2. Let h(j) = -j**5 - j**4 - j**3 - j**2 - 1. Let b(a) = -g(a) - 3*h(a). Factor b(s).
-(s - 1)*(s + 1)**4
Let z(p) = -3*p**2 + 15*p + 6. Let n(r) = r**2 - r - 1. Let g(m) = 6*n(m) + z(m). What is o in g(o) = 0?
-3, 0
Let z(h) be the second derivative of -h**4/6 - 4*h**3/3 + 12*h**2 - 39*h. Factor z(b).
-2*(b - 2)*(b + 6)
Let z(h) be the first derivative of -h**6/6 - h**5 - 5*h**4/2 - 10*h**3/3 - 5*h**2/2 - h + 5. Let z(w) = 0. Calculate w.
-1
Let a(s) be the second derivative of -s**5/140 - s**4/28 + 2*s**2/7 + s. Solve a(p) = 0.
-2, 1
Let x(m) = -3*m. Let g be x(1). Let n be 0 + (3 - 3) - g. Factor n*s**2 + s**3 - s - 2 + 3*s**2 - 4*s**2.
(s - 1)*(s + 1)*(s + 2)
Factor 8/1