 0 - 2/5*k**5 + 6/5*k**3 + 0*k**4 = 0?
-1, 0, 2
Let f = 50 + -47. Factor 2/5*c + 2/5*c**f + 0 - 4/5*c**2.
2*c*(c - 1)**2/5
Factor 1/4*v - 3/4*v**2 - 1/4*v**3 + 1/2 + 1/4*v**4.
(v - 2)*(v - 1)*(v + 1)**2/4
Solve -1/6*x**3 + 1/3*x**2 + 1/6*x - 1/3 = 0 for x.
-1, 1, 2
Let v(m) = 15*m**2 + 15*m. Let o(a) = -7*a**2 - 7*a. Let b(z) = 13*o(z) + 6*v(z). Factor b(r).
-r*(r + 1)
Let q(t) be the first derivative of -t**4 + 4*t**3 + 2*t**2 - 12*t + 12. Factor q(o).
-4*(o - 3)*(o - 1)*(o + 1)
Let y = -24 - -27. Let w(x) = -5*x**5 - 4. Let v(k) = 4*k**5 + 3. Let m(a) = y*w(a) + 4*v(a). Factor m(i).
i**5
Factor -5*h - 3 - 10*h**3 + 4 + 18*h**4 - 13*h**4 - h**5 + 10*h**2.
-(h - 1)**5
Let u(j) = 3*j**4 - 4*j**3 + 3*j**2 - 2*j + 2. Let q(r) = r**4 - r**3 + r**2 - r + 1. Let v(a) = -6*q(a) + 3*u(a). Find h such that v(h) = 0.
0, 1
Factor 2/3*m + 1/3*m**2 + 0.
m*(m + 2)/3
Let x(o) be the third derivative of -o**8/168 - o**7/5 - 23*o**6/10 - 149*o**5/15 - 87*o**4/4 - 27*o**3 + 38*o**2. Factor x(j).
-2*(j + 1)**3*(j + 9)**2
Factor -g**3 + 11*g**3 + 4*g**4 + 2*g**2 - 3*g**3 - g.
g*(g + 1)**2*(4*g - 1)
Factor -24*n**2 + 14*n**2 + 5*n**2 + 10 + 5*n.
-5*(n - 2)*(n + 1)
Factor -10/7*w + 4/7 + 2/7*w**3 - 2/7*w**4 + 6/7*w**2.
-2*(w - 1)**3*(w + 2)/7
Let y(b) = 96*b**3 - 81*b**2 - 63*b + 81. Let p(f) = 6*f**3 - 5*f**2 - 4*f + 5. Let h(n) = -33*p(n) + 2*y(n). Determine a, given that h(a) = 0.
-1, 1/2, 1
Let a(x) = 4*x**4 + 7*x**3 - x**2 - 5*x - 1. Let j(t) = -8*t**4 - 15*t**3 + t**2 + 10*t + 2. Let s(k) = -10*a(k) - 4*j(k). Solve s(d) = 0 for d.
-1, -1/4, 1
Let j = 18 - 14. Let n(x) be the third derivative of 0*x**3 + 1/480*x**6 + 0*x - 2*x**2 - 1/96*x**j + 0 + 0*x**5. Solve n(v) = 0.
-1, 0, 1
Let p(d) = d**3 + 6*d**2 + 5*d + 3. Suppose -6*c = -2*c + 20. Let r be p(c). Suppose -4*u + 7*u + r*u**2 - 3*u + 4*u + 1 = 0. What is u?
-1, -1/3
Factor 41*f**3 - 13*f**3 + 16*f + 17*f**2 + 39*f**2 + 10*f**4 + 16*f**3.
2*f*(f + 2)**2*(5*f + 2)
Let y(x) be the third derivative of x**6/1620 - x**5/90 + x**4/12 + 5*x**3/6 - x**2. Let b(c) be the first derivative of y(c). Find k such that b(k) = 0.
3
Let -r - 4*r**2 - r**3 - 4*r + r = 0. What is r?
-2, 0
Let i be ((-8)/(-6))/(10/15). Find g, given that i*g**2 - 3 + 3 + g**3 + 0 = 0.
-2, 0
Find y, given that 2/5*y**3 + 6/5*y + 6/5*y**2 + 2/5 = 0.
-1
Let w(l) = 2*l**2 - 9*l + 3. Let g be w(5). Suppose 4*p - 8 = 4*s, -2*p - 5*s + s = g. Factor 0 + p*i + 0*i**2 - i**4 + 1/3*i**3.
-i**3*(3*i - 1)/3
Let z(h) be the second derivative of -h**6/720 - h**5/120 - h**4/48 - h**3/2 + h. Let m(b) be the second derivative of z(b). What is a in m(a) = 0?
-1
Let b(t) be the third derivative of 0*t**3 + 0 + 0*t - 1/420*t**6 - t**2 - 1/210*t**5 + 1/735*t**7 + 1/84*t**4. What is y in b(y) = 0?
-1, 0, 1
Let p(n) be the first derivative of -4/27*n**3 - 5 + 0*n**2 + 1/18*n**4 + 0*n. Factor p(r).
2*r**2*(r - 2)/9
Solve -3/2*c + 0 + 1/2*c**2 = 0.
0, 3
Suppose j + 8*j - 18 = 0. Let a(c) be the second derivative of 0 - 1/6*c**4 + 4*c - c**3 - 2*c**j. Factor a(t).
-2*(t + 1)*(t + 2)
Suppose -3*c + 23 = -3*h + c, -3*c = 5*h + 48. Let d be h/45 + (-9)/(-20). Factor -1/4*p - d*p**3 - 1/2*p**2 + 0.
-p*(p + 1)**2/4
Let i(s) be the second derivative of 2*s**7/21 - 4*s**6/15 + s**5/5 - 6*s. Factor i(c).
4*c**3*(c - 1)**2
Let a = 5057/15 - 337. Let p(c) be the first derivative of a*c**3 - 1/10*c**4 + 2 - 2/5*c + 1/5*c**2. Let p(x) = 0. What is x?
-1, 1
Suppose -2*c = 5*n - 29, 4*n + 5*c - 21 = 9. Let m(t) be the second derivative of 1/40*t**n - 1/4*t**3 - 1/12*t**4 + 0*t**2 + 2*t + 0. Factor m(y).
y*(y - 3)*(y + 1)/2
Let s(o) be the second derivative of -o**9/5040 + o**8/6720 + o**7/840 - o**6/720 - o**4/12 - 6*o. Let c(m) be the third derivative of s(m). Factor c(d).
-d*(d - 1)*(d + 1)*(3*d - 1)
Let k(u) = -4*u**5 + 5*u**4 + 72*u**3 - 70*u**2 + 20*u + 9. Let m(r) = -r**5 + 2*r**4 + 24*r**3 - 23*r**2 + 7*r + 3. Let v(g) = -3*k(g) + 8*m(g). Factor v(t).
(t - 1)**3*(t + 3)*(4*t + 1)
Let s be (-72)/20 + 4 + (-2)/55. Suppose 2*x = l + 8, -4*x - l - 12 = 4*l. Suppose -s + 2/11*f**x - 2/11*f = 0. Calculate f.
-1, 2
Let r(m) = 3*m**2 - 17*m + 1. Let f(c) = -10*c**2 + 50*c - 4. Let b(h) = -3*f(h) - 8*r(h). Determine z so that b(z) = 0.
1/3, 2
Let q be (-24)/(-54)*6/4. Solve -q*z**5 + 0*z**2 + 0*z + 0 - 4/3*z**4 - 2/3*z**3 = 0 for z.
-1, 0
Suppose 2*k + 4 = 2*f, -3*f - f = 2*k - 38. Suppose 2 = -3*d - n, 4*d + 3*n - 1 + f = 0. Factor -1/3*h**2 + 0*h + d.
-h**2/3
Let t(j) be the second derivative of 0 + 3/20*j**5 + 1/12*j**3 + 1/6*j**4 + j + 0*j**2 + 1/15*j**6 + 1/84*j**7. Factor t(f).
f*(f + 1)**4/2
Let j(i) = -3*i**2 + 3*i - 2. Let m(p) be the third derivative of -p**5/20 + p**4/8 - p**3/2 - p**2. Let w(l) = -3*j(l) + 2*m(l). Solve w(f) = 0 for f.
0, 1
Let c(i) be the second derivative of -i**5/60 - i**4/36 + i**3/9 + 36*i. Factor c(l).
-l*(l - 1)*(l + 2)/3
Let x = 34 - 16. Let d = 21 - x. Factor -2/9*j + 0 - 4/9*j**2 - 2/9*j**d.
-2*j*(j + 1)**2/9
Let h(m) be the third derivative of 0*m - 1/45*m**5 + 0*m**3 + m**2 + 1/180*m**6 + 0 + 1/36*m**4. Factor h(k).
2*k*(k - 1)**2/3
Suppose 4*b = -0*b. Let f = 0 + b. Factor 0*v - 2*v**3 - 2*v**2 + f*v.
-2*v**2*(v + 1)
Let v(c) be the first derivative of c**4/6 + 4*c**3/9 - c**2 - 11. Factor v(l).
2*l*(l - 1)*(l + 3)/3
Let j(d) = -d**2 + d + 3. Let p be j(0). Suppose -b + p*b = 0. Factor -2/3*f**5 + 0*f + 0 + 2/3*f**3 + 0*f**4 + b*f**2.
-2*f**3*(f - 1)*(f + 1)/3
Let b(v) be the first derivative of -v**7/2100 - v**6/900 - 2*v**3/3 + 1. Let x(p) be the third derivative of b(p). Find j, given that x(j) = 0.
-1, 0
Let q(u) be the first derivative of -2*u**3/9 - 8*u**2/3 - 32*u/3 - 12. Determine z, given that q(z) = 0.
-4
Let p(z) be the second derivative of 1/21*z**4 + 0 - 2/7*z**2 - 1/21*z**3 + 1/70*z**5 + 2*z. What is d in p(d) = 0?
-2, -1, 1
Suppose 4*h = z + 6, 3*z - 5*z + 12 = 4*h. Let f(s) be the first derivative of -1/3*s**3 + s + 1/4*s**4 + z - 1/2*s**2. Factor f(m).
(m - 1)**2*(m + 1)
Suppose -6*h**4 - 3/2*h**5 + 0*h - 3*h**2 + 0 - 15/2*h**3 = 0. What is h?
-2, -1, 0
Let g = 10 - 0. Let c be (-12)/60 - (-17)/g. Factor -1/2*u**2 + c*u - 1.
-(u - 2)*(u - 1)/2
Find o such that 0 - 3/4*o**3 + 1/4*o**5 + o + o**2 - 1/2*o**4 = 0.
-1, 0, 2
Let q(a) be the second derivative of -a**7/420 + a**5/60 + 2*a**3/3 - a. Let b(o) be the second derivative of q(o). Let b(s) = 0. What is s?
-1, 0, 1
Suppose -7*m - 6 + 20 = 0. Factor 16/9*i - 10/9*i**m - 2/3.
-2*(i - 1)*(5*i - 3)/9
Factor 1/3*z**5 - z**3 + 1/3*z**4 + 2/3*z - 1/3*z**2 + 0.
z*(z - 1)**2*(z + 1)*(z + 2)/3
Let c(j) = j + 4. Let w be (12/(-10))/(9/30). Let u be c(w). Let -r**3 + u*r - r**4 - 1/4*r**2 + 0 = 0. What is r?
-1/2, 0
Suppose w - y + 0 = 8, -3*y - 32 = -5*w. Find a, given that -w*a**4 + 4*a**3 + 6*a**2 + 2*a**4 - 7 - 8*a - 1 = 0.
-1, 2
Let n(g) = -g - 3*g**2 + 1 - 9 - 5*g. Suppose -5*b = 5*i - 45, -3*b = 2*i + 11 - 37. Let o(l) = l**2 + 2*l + 3. Let c(v) = b*o(v) + 3*n(v). Factor c(j).
-j*(j + 2)
Factor -3*c**3 - c**3 - 84 + 144 - 60*c**2 + 4*c.
-4*(c - 1)*(c + 1)*(c + 15)
Suppose -2*c + 5*y + 14 - 3 = 0, -4 = -c + y. Let s(i) be the second derivative of -1/8*i**c + 2*i - 1/48*i**4 - 1/4*i**2 + 0. Factor s(g).
-(g + 1)*(g + 2)/4
Let -4 + 7/3*p**4 + 44/3*p**3 + 5/3*p**2 - 44/3*p = 0. Calculate p.
-6, -1, -2/7, 1
Let c(j) be the third derivative of -j**6/60 + j**5/20 - j**3/6 - 11*j**2. Determine d, given that c(d) = 0.
-1/2, 1
Let p(q) be the second derivative of 0 + 3/20*q**5 + 3/4*q**4 + q**3 + 2*q + 0*q**2. Factor p(t).
3*t*(t + 1)*(t + 2)
Let c(a) be the second derivative of -5*a**7/14 + 9*a**6/10 + 3*a**5/100 - 41*a**4/20 + 12*a**3/5 - 6*a**2/5 - 6*a. Determine u, given that c(u) = 0.
-1, 2/5, 1
Let f(a) be the third derivative of a**8/420 + a**7/315 + a**6/720 - a**4/12 - 6*a**2. Let o(t) be the second derivative of f(t). Factor o(x).
x*(4*x + 1)**2
Let l(x) be the third derivative of x**7/1050 - x**6/300 + x**5/300 - 2*x**2. Suppose l(p) = 0. Calculate p.
0, 1
Let i(h) = -h**2 - 3*h + 1. Let p be i(-2). Factor -2*u**p + 2*u**4 + 2*u**3 - 2*u**2.
2*u**2*(u - 1)*(u + 1)
Let f(k) be the second derivative of -k**6/270 + k**5/60 + 56*k. Factor f(r).
-r**3*(r - 3)/9
Let y(h) be the first derivative of -2*h**5/5 - 2*h**4 + 10*h**3/3 + 25. What is x in y(x) = 0?
-5, 0, 1
Let z(t) be 