pose 1/2*u**5 + 0 - u**3 + 0*u**v + 1/2*u + 0*u**2 = 0. What is u?
-1, 0, 1
Let i(b) = b**2 + 0*b**2 - 2*b**2 + 7 - 6*b. Let c be i(-7). Let 2*z**2 + c*z**2 + 1 - z**3 - 3*z + z**2 = 0. What is z?
1
Let n(q) be the first derivative of q**5/120 - q**2 - 1. Let d(j) be the second derivative of n(j). Suppose d(o) = 0. Calculate o.
0
Factor 8/3*y + 4/3*y**4 + 2/3*y**5 - 2*y**3 + 0 - 8/3*y**2.
2*y*(y - 1)**2*(y + 2)**2/3
Factor -128/15 - 32/15*s - 2/15*s**2.
-2*(s + 8)**2/15
Let f(y) = 17*y**2 - 27*y + 18. Let q(z) = 6*z**2 - 9*z + 6. Let l(c) = -3*f(c) + 8*q(c). Solve l(d) = 0 for d.
1, 2
Let h(n) be the first derivative of -3*n**4/20 + 3*n**2/10 - 9. Suppose h(y) = 0. Calculate y.
-1, 0, 1
Find c, given that -12*c**3 + 4*c**3 - 4 + 2*c**5 + 4*c**2 - 483*c + 489*c = 0.
-2, -1, 1
Let f(g) be the third derivative of -1/20*g**5 - 3*g**2 - 1/4*g**4 + 0 - 1/2*g**3 + 0*g. Determine o, given that f(o) = 0.
-1
Let u(t) = 3*t**2 + 7*t - 2. Let x(s) = -3*s**2 - 6*s + 1. Let i(a) = 2*u(a) + 3*x(a). Factor i(n).
-(n + 1)*(3*n + 1)
Let z(m) = m**3 - m**2. Let c(x) = 5*x**3 - 5*x**2 - x + 1. Let r(v) = -c(v) + 4*z(v). Determine b so that r(b) = 0.
-1, 1
Let o(k) be the first derivative of -16*k**6/3 + 8*k**5 + 3*k**4 - 16*k**3/3 - 2*k**2 + 18. Solve o(c) = 0.
-1/2, -1/4, 0, 1
Let c be (-39)/12 + (-2)/(-8). Let b be (c - 0)*(2 - 3). Find h, given that b*h**2 + 2 + 0*h**2 - 4*h**2 - h**2 = 0.
-1, 1
Suppose 276*s - 6 = 273*s. Factor -6/7*t**3 + 0*t**s + 6/7*t - 3/7*t**4 + 3/7.
-3*(t - 1)*(t + 1)**3/7
Suppose 0 = 5*b + 2*f + f - 4, 0 = -4*b + 5*f + 18. Factor 3*n**3 - 8*n**4 + b*n - 3*n**2 - 5*n + 13*n**4 - 2*n**4.
3*n*(n - 1)*(n + 1)**2
Factor 1/3 + 1/3*w**3 + w**2 + w.
(w + 1)**3/3
Let h be (-4 + 8)*2/2. Solve -8/7 - 30/7*v**h - 102/7*v**2 + 92/7*v**3 + 48/7*v = 0.
2/5, 2/3, 1
Solve 12/5 - 12/5*i + 3/5*i**2 = 0.
2
Let d(k) be the first derivative of k**4/16 + k**3/12 - k**2/8 - k/4 - 4. Factor d(n).
(n - 1)*(n + 1)**2/4
Let b be (-2 - 1)/(7*12/(-16)). Find v such that -8/7*v**4 - 2/7*v**5 + b - 8/7*v**3 + 4/7*v**2 + 10/7*v = 0.
-2, -1, 1
Let s(t) = -25*t**5 + 86*t**4 - 50*t**3 - 11. Let y(v) = 5*v**5 - 17*v**4 + 10*v**3 + 2. Let d(a) = -2*s(a) - 11*y(a). Let d(r) = 0. What is r?
0, 1, 2
Let p(s) be the third derivative of -s**7/70 + 3*s**5/20 + s**4/4 + 13*s**2. Factor p(j).
-3*j*(j - 2)*(j + 1)**2
Let k(y) = -y**3 - 6*y**2 + 7*y + 2. Let v be k(-7). Factor 5/2*o - o**v - 5/2*o**3 + 1.
-(o - 1)*(o + 1)*(5*o + 2)/2
Let y(q) = 7*q**5 - 7*q**4 + 6*q**3 - 6*q**2 + 13. Let s(c) = -3*c**5 + 3*c**4 - 3*c**3 + 3*c**2 - 6. Let b(o) = -13*s(o) - 6*y(o). Factor b(p).
-3*p**2*(p - 1)**2*(p + 1)
Let x(p) be the first derivative of p**3/12 + p**2/8 + 15. Find m, given that x(m) = 0.
-1, 0
Suppose 0 = 5*h - h - 16. Factor 2*c**4 - 12*c**3 + 13*c**2 + 3*c**4 - c**2 - 2*c**h.
3*c**2*(c - 2)**2
Suppose 0 = -q + 3*q - 6. Factor 4*c**3 - 2*c**3 - 2*c**5 + c**4 + 0*c**q + c**5.
-c**3*(c - 2)*(c + 1)
Let g(x) be the first derivative of -1 - 17/2*x**2 + 13/4*x**3 + 3*x + 49/20*x**5 + 21/2*x**4. Factor g(o).
(o + 1)*(o + 3)*(7*o - 2)**2/4
Let h(u) be the second derivative of 0 + 2*u + 2/3*u**4 + 15/7*u**7 + 2*u**2 + 31/5*u**5 - 34/5*u**6 - 11/3*u**3. Let h(k) = 0. Calculate k.
-2/5, 1/3, 1
Determine n so that 9/2 - 1/2*n**2 - 1/2*n**3 + 9/2*n = 0.
-3, -1, 3
Let t(r) be the second derivative of r**5/120 - r**4/18 - 3*r. Solve t(v) = 0 for v.
0, 4
Let y be 2/3 + 2/(-3). Let a(h) be the second derivative of -1/70*h**5 + y - h + 1/21*h**3 - 1/7*h**2 + 1/42*h**4. Solve a(b) = 0.
-1, 1
Factor -8/3 + 2/3*v**2 - 8/3*v + 2/3*v**3.
2*(v - 2)*(v + 1)*(v + 2)/3
Let d be (-4)/3*6/(-4). Suppose 3*j - a = 6, 9 = 5*j - j - a. Factor -4*q + d*q**2 + j*q + q.
2*q**2
Let f(b) be the first derivative of 3*b**4 + 3*b**3 - 27*b**2/2 + 6*b - 1. Suppose f(g) = 0. Calculate g.
-2, 1/4, 1
Let -2/3*k**4 - 4/3*k**2 - 8/3*k + 8/3*k**3 + 2 = 0. What is k?
-1, 1, 3
Solve 0*o**2 - 4*o**2 + 29*o - 17*o - 8 = 0.
1, 2
Let y = 144 - 141. Suppose -y*o**2 + 3/2*o**3 + 3 - 3/2*o = 0. Calculate o.
-1, 1, 2
Let p be (-8)/(-18)*-3*-3. Factor 4*b**2 + 2/3 + 8/3*b + 8/3*b**3 + 2/3*b**p.
2*(b + 1)**4/3
Let a(i) be the first derivative of i**3/3 + i**2 + 5*i + 5. Let s(p) = 1. Let j(n) = -a(n) + 4*s(n). What is x in j(x) = 0?
-1
Let k(b) be the second derivative of b + 0 - 1/3*b**4 - 2/3*b**3 + 2*b**2 + 1/5*b**5. Factor k(y).
4*(y - 1)**2*(y + 1)
Let y(a) be the second derivative of a**4/3 + 2*a**3/3 - 4*a**2 - a. Factor y(c).
4*(c - 1)*(c + 2)
Let o(i) = 7*i**3 - 52*i**2 + 83*i - 30. Let v(c) = 2*c**3 - 17*c**2 + 28*c - 10. Let m(d) = 3*o(d) - 8*v(d). Factor m(j).
5*(j - 2)*(j - 1)**2
Let x(u) be the first derivative of u**4/6 + u**3/2 + u**2/2 - 3*u - 3. Let b(f) be the first derivative of x(f). Suppose b(r) = 0. Calculate r.
-1, -1/2
Let o(t) be the second derivative of 27*t**6/25 - 9*t**5/10 - 16*t**4/15 - 4*t**3/15 + 6*t. Determine m so that o(m) = 0.
-2/9, 0, 1
Let f(v) = -v**2 + v - 1. Let q be f(2). Let a = 5 + q. Suppose -l**3 - 3*l**3 - a*l + 6*l**3 = 0. What is l?
-1, 0, 1
Let w(k) be the second derivative of -1/60*k**6 - 2*k + 0*k**4 + 0*k**3 + 0 + 0*k**2 + 1/40*k**5. Factor w(z).
-z**3*(z - 1)/2
Find g, given that 2/3*g**4 + 0 + 2/3*g**2 - g**3 - 1/6*g - 1/6*g**5 = 0.
0, 1
Let j = 9 - 5. Factor -p**2 + 2*p**j - 4*p - p**4 + 4*p.
p**2*(p - 1)*(p + 1)
Let y(d) be the first derivative of -5*d**4/4 - 5*d**3/3 + 5*d**2/2 + 5*d - 4. Factor y(r).
-5*(r - 1)*(r + 1)**2
Let k = 1 + -1. Let o(r) be the first derivative of -1/2*r**4 - 2/5*r**5 + 0*r + 0*r**2 + k*r**3 - 4. Factor o(l).
-2*l**3*(l + 1)
Factor -7/3*c**2 - 16/3*c - 4 - 1/3*c**3.
-(c + 2)**2*(c + 3)/3
Let g be (21 + -21)/(1 - -1). Factor g - 1/3*v**2 - 1/3*v.
-v*(v + 1)/3
Let q(b) = 20*b**2 - 43*b + 13. Let a(h) = 10*h**2 - 21*h + 6. Let g(f) = -7*a(f) + 4*q(f). Determine u so that g(u) = 0.
1/2, 2
Suppose 3 + 2 = f. Suppose 3*r - 3*w + 20 = 4*r, -25 = -f*w. Solve -5*z**5 - 2*z**5 + z**4 - z**2 - z**3 + 3*z**r + 5*z**5 = 0.
-1, 0, 1
Let d = -40 - -46. Let m(r) be the third derivative of 0*r**d + 1/105*r**5 - r**2 + 0*r**4 - 1/735*r**7 - 1/21*r**3 + 0 + 0*r. Factor m(c).
-2*(c - 1)**2*(c + 1)**2/7
Let u = 1877/14 - 134. Let j(b) be the first derivative of 1/7*b**2 + 4/21*b**3 + u*b**4 - 1 + 0*b. Let j(n) = 0. What is n?
-1, 0
Factor 4/9*a + 0 - 2/9*a**2.
-2*a*(a - 2)/9
Factor 3/7*x**3 + 0*x - 2/7*x**2 + 0 - 1/7*x**4.
-x**2*(x - 2)*(x - 1)/7
Let x(p) = p**3 - p**2 - 3*p + 5. Let g be x(2). Determine o so that -2/3*o**2 + 1/3*o**g + 1/3*o + 0 = 0.
0, 1
Let d(p) be the third derivative of p**6/900 - p**3/3 - p**2. Let b(w) be the first derivative of d(w). Solve b(v) = 0.
0
Let k(r) be the second derivative of 0*r**2 + 1/12*r**3 + 0 + 9/16*r**5 + 3/10*r**6 - 3*r + 17/48*r**4. Find s, given that k(s) = 0.
-2/3, -1/3, -1/4, 0
Let a(s) = -8*s**4 - 36*s**3 - 28*s**2 + 36*s - 4. Let j(c) = c**4 + c**3 + c**2 - c. Let b(q) = a(q) + 20*j(q). Solve b(t) = 0.
-1, 1/3, 1
Let d(s) be the second derivative of s**4/18 + 2*s**3/3 + 5*s**2/3 + 18*s. Factor d(a).
2*(a + 1)*(a + 5)/3
Let s(t) = 7*t**3 + 4*t**2 - 5*t + 6. Let a(h) be the third derivative of h**6/120 + h**5/60 - h**4/24 + h**3/6 - 4*h**2. Let i(b) = 6*a(b) - s(b). Factor i(l).
-l*(l - 1)**2
Suppose -410*o - 24 = -422*o. Factor 3*f**o - 3*f - 3/2*f**4 + 0 - 3/4*f**5 + 9/4*f**3.
-3*f*(f - 1)**2*(f + 2)**2/4
Let t(g) be the second derivative of 1/24*g**4 + 1/168*g**7 + 4*g + 0 + 0*g**2 - 1/60*g**6 + 0*g**5 - 1/24*g**3. Factor t(a).
a*(a - 1)**3*(a + 1)/4
Let o(k) be the first derivative of -15*k**4/8 + 35*k**3/18 + 5*k**2/6 + 4. Let o(a) = 0. What is a?
-2/9, 0, 1
Let t(q) = -q**2 - 3*q + 12. Let x be t(-5). Let u be (1 - 1 - -3)*1. Suppose 0 + 0*c + 0*c**x + 4/5*c**4 - 2/5*c**5 - 2/5*c**u = 0. What is c?
0, 1
Let f(x) = -x**2 - 27*x - 71. Let y be f(-24). Let z(c) be the first derivative of 1/2*c**2 - y + 0*c**3 + 1/6*c**6 + 0*c**5 - 1/2*c**4 + 0*c. Factor z(v).
v*(v - 1)**2*(v + 1)**2
Let t(u) be the first derivative of -2*u**3/9 - 1. Solve t(r) = 0.
0
Factor 4*v**2 + 258*v - 246*v - 6*v**2.
-2*v*(v - 6)
Let -2*k**5 - k**5 + 18*k**4 - 26*k**3 + 12*k**2 + 15*k**3 - 16*k**3 = 0. Calculate k.
0, 1, 4
Let y(p) be the first derivative of p**5/25 - p**4/20 + 1. Solve y(a) = 0 for a.
0, 1
Let y(f) = -f**3 - f + 1. Let g(i) = i*