2 - 2*x = 0.
-3, 0
Suppose -6*u - 23 = -3*f - 2*u, -3*u - 6 = 0. Factor -10/3*r**4 + 0*r + 4/3*r**3 - 14/3*r**f + 0*r**2 + 0.
-2*r**3*(r + 1)*(7*r - 2)/3
Let a be ((-2)/(-12))/((-4)/(-6)). Let q = 1/2 - a. Factor 0*h + 1/4 - q*h**2.
-(h - 1)*(h + 1)/4
Let t be 132/21 + 4/(-14). Suppose -t*a + 2*a = -8. Determine g so that -5*g**4 + 16*g**a - 4*g + 10*g**4 - 15*g**3 - 2*g**3 = 0.
0, 2/5, 1, 2
Let c(j) be the first derivative of j**5/25 - 3*j**4/20 + 2*j**2/5 - 1. Factor c(r).
r*(r - 2)**2*(r + 1)/5
Let u(k) be the first derivative of 1/4*k**4 + 0*k**2 - 3/5*k**5 + 0*k + 3 + 2/3*k**3. Factor u(v).
-v**2*(v - 1)*(3*v + 2)
Let j(t) be the second derivative of -t**7/2205 - t**6/420 - t**5/210 - t**4/3 - 7*t. Let z(h) be the third derivative of j(h). Factor z(q).
-4*(q + 1)*(2*q + 1)/7
Let l(j) = -1 - 1 + 0 + j**2 - 2*j. Let w(y) = 2*y**2 + 1 - 2*y**2 + y**2 - 2*y**2 + y. Let p(s) = -2*l(s) - 4*w(s). Suppose p(v) = 0. Calculate v.
0
Let f be (12 - 12 - 4) + (6 - 1). Factor -f + 5/2*o - 2*o**2 + 1/2*o**3.
(o - 2)*(o - 1)**2/2
Factor 21/2*y**4 - 3*y - 24*y**3 + 33/2*y**2 + 0.
3*y*(y - 1)**2*(7*y - 2)/2
Let r(t) = 5*t + 12. Let y be r(-2). Let l(b) be the first derivative of -3 + 11/9*b**3 + 4/3*b + 1/4*b**4 + 2*b**y. Suppose l(i) = 0. Calculate i.
-2, -1, -2/3
Let c be -2 + 1/(2/10). Find v, given that 0 + v**5 - 5*v**4 + 6*v**c + 0 - 8*v + 4*v**2 = 0.
-1, 0, 2
Let q(k) be the third derivative of -k**7/1575 + k**5/450 + 4*k**2. Factor q(i).
-2*i**2*(i - 1)*(i + 1)/15
Solve -t**4 + 4*t**4 + 23*t**3 - 20*t**3 = 0.
-1, 0
Let b(x) be the second derivative of 3*x**5/2 - x**4/3 - 5*x**3 + 2*x**2 + 20*x. Let b(i) = 0. What is i?
-1, 2/15, 1
Find a, given that 3*a - 2*a + 0*a + a - 3*a**3 + 5*a**2 = 0.
-1/3, 0, 2
Suppose -2*c = 4*m, m - 4*c = -2*m. Let b(x) be the second derivative of 0*x**2 + 0*x**5 + 0 + 1/84*x**7 - 1/48*x**4 + 1/40*x**6 - 2*x + m*x**3. Factor b(r).
r**2*(r + 1)**2*(2*r - 1)/4
Let o(h) be the third derivative of 1/120*h**6 + 0*h**3 + 0*h - 1/420*h**7 + 0 + 0*h**4 - 4*h**2 + 0*h**5. Factor o(z).
-z**3*(z - 2)/2
Let w(y) = y**4 - y**3 + y**2 + 1. Let l(k) = -2*k**5 + 5*k**4 + 3*k**3 - 3*k**2 - 3*k + 4. Let n(q) = -5*l(q) + 10*w(q). What is b in n(b) = 0?
-1, 1/2, 1, 2
Let t(k) = -k**3 + 6*k**2 - 3*k - 5. Let y be t(5). Suppose 1 - y = -3*b - h, 2*b = 3*h + 21. Determine j, given that b*j**5 - 2*j**5 - 2*j**5 = 0.
0
Suppose -r + 2*r - 5*p - 2 = 0, 3*r = p + 6. Factor -6/11*b**r + 8/11 + 0*b - 2/11*b**3.
-2*(b - 1)*(b + 2)**2/11
Let a = -7 - -6. Let b(r) = r**2 + r + 1. Let z be b(a). Factor 0*v**2 + z + v**2 + 0*v**2 - 2.
(v - 1)*(v + 1)
Let n be (6/80)/((-12)/(-8)). Let p(b) be the second derivative of b - 1/6*b**3 + 0 + n*b**5 + 1/2*b**2 - 1/12*b**4. Factor p(f).
(f - 1)**2*(f + 1)
Let d(v) be the first derivative of 4*v**3/3 + 14*v**2 - 32*v + 20. Factor d(n).
4*(n - 1)*(n + 8)
Let w(v) be the first derivative of 0*v + 2*v**3 - 4 - 3/4*v**4 + 0*v**2. Factor w(b).
-3*b**2*(b - 2)
Let y(a) be the first derivative of 10 - 1/16*a**4 + 1/12*a**3 + 1/4*a**2 + 0*a. Solve y(u) = 0 for u.
-1, 0, 2
Let m(i) be the third derivative of 1/24*i**4 + 0*i + 1/336*i**8 + 0*i**5 + 0*i**3 + i**2 + 0*i**7 + 0 - 1/60*i**6. Let m(f) = 0. Calculate f.
-1, 0, 1
Let j(a) be the third derivative of -1/630*a**7 - 1/90*a**5 + 0*a**3 + 5*a**2 + 0*a**4 - 1/120*a**6 + 0*a + 0. Suppose j(m) = 0. Calculate m.
-2, -1, 0
Let s(w) be the third derivative of 1/24*w**4 + 1/120*w**5 + 0 + 0*w**3 + 0*w - 2*w**2. Factor s(f).
f*(f + 2)/2
Let s(y) be the third derivative of 7*y**6/60 + 2*y**5/5 + y**4/4 - 2*y**3/3 + 8*y**2. Factor s(v).
2*(v + 1)**2*(7*v - 2)
Suppose 2*y - 6*y = 0. Suppose -r + 0*r = y. Factor 0*t**2 + 1/4*t**4 + 0*t**3 + r*t + 0.
t**4/4
Factor 0 + 0*x**2 - 1/2*x**3 + 1/2*x.
-x*(x - 1)*(x + 1)/2
Suppose -5*j + 12 = -8. Let s(k) be the second derivative of -1/20*k**5 - 1/12*k**j + 0*k**2 + 0 + k + 1/6*k**3 + 1/30*k**6. Factor s(w).
w*(w - 1)**2*(w + 1)
Let l be 36/15 - 6/(-10). Let y(t) be the second derivative of 1/8*t**2 + 0*t**l + t - 1/48*t**4 + 0. Factor y(p).
-(p - 1)*(p + 1)/4
Let h = -5/76 + 6/19. Let v be 3/4 + (-2)/4. Factor 1/4*p**3 - h*p + 0 + 1/4*p**2 - v*p**4.
-p*(p - 1)**2*(p + 1)/4
Let f be 1/(-4) - (-17121)/(-108). Let o = f + 159. Determine t, given that o*t**3 + 0*t + 2/9*t**2 + 0 = 0.
-1, 0
Let d = 761 - 47942/63. Let n(v) be the second derivative of -d*v**7 + 1/18*v**4 + 0*v**2 + 3*v + 0*v**3 + 0 + 1/30*v**5 - 1/45*v**6. Factor n(y).
-2*y**2*(y - 1)*(y + 1)**2/3
Let u(g) = 3*g**2 + 4*g + 1. Let o be u(-3). Suppose -5*j + 2*j = -a + 4, o = 4*a. Find s, given that 0 + j*s**2 + 0*s + 0*s**3 + 3/2*s**4 = 0.
0
Let x(c) be the second derivative of 0 + 2*c - 1/10*c**5 + 1/2*c**4 - c**3 + c**2. Solve x(o) = 0.
1
Find j, given that 22/15*j**3 + 0*j + 0 - 2/5*j**4 - 4/5*j**2 = 0.
0, 2/3, 3
Let i = 109 - 323/3. Factor i*v**2 + 2/3*v + 2/3*v**3 + 0.
2*v*(v + 1)**2/3
Let r(a) be the first derivative of 3*a**5 + 3*a**4/2 - 5*a**3 - 3*a**2 - 10. Factor r(g).
3*g*(g - 1)*(g + 1)*(5*g + 2)
Let y(x) be the first derivative of x**6/120 + x**5/60 - 3*x**2/2 - 6. Let j(o) be the second derivative of y(o). Solve j(k) = 0.
-1, 0
Let v(r) be the first derivative of 3/2*r**2 + 0*r + 1 + 0*r**3 - 3/4*r**4. Determine m so that v(m) = 0.
-1, 0, 1
Let o = -10 - -12. Factor -n**2 + n**4 - o*n + 0*n**2 + 2*n.
n**2*(n - 1)*(n + 1)
Factor 3*z**2 - 6 + z**2 + 2*z**2 - 3*z**2 + 3*z.
3*(z - 1)*(z + 2)
Factor -27/4*l - 3*l**2 - 3/2.
-3*(l + 2)*(4*l + 1)/4
Let f = -10 - -12. Let r(z) be the first derivative of -4/7*z - 2/3*z**3 + 2 + 9/7*z**f. Factor r(i).
-2*(i - 1)*(7*i - 2)/7
Let 2/7*l + 1/7*l**4 + 0*l**2 - 1/7 - 2/7*l**3 = 0. What is l?
-1, 1
What is g in -8/15 + 2/15*g**5 - 14/15*g**4 + 38/15*g**3 - 10/3*g**2 + 32/15*g = 0?
1, 2
Factor 0 + 2/11*w**2 + 4/11*w.
2*w*(w + 2)/11
Suppose 0 + 1/4*s**5 - 3/4*s**3 + 0*s - 1/2*s**2 + 0*s**4 = 0. Calculate s.
-1, 0, 2
Let f = -32/15 - -14/5. Let h(t) be the third derivative of 0 - 2*t**2 + f*t**3 - 1/6*t**4 + 1/60*t**5 + 0*t. Determine k so that h(k) = 0.
2
Let g be ((-2)/(-2) + 1)*4. Let v = g - 5. Factor -4*l + 3*l**4 - l**2 + l**v + 3*l - 2*l**4.
l*(l - 1)*(l + 1)**2
Suppose 4*q + 7 = 2*q + 3*g, -4*q = -3*g - 1. Let c(a) be the first derivative of -1/10*a**4 + 4/5*a + 0*a**3 - q + 3/5*a**2. Factor c(x).
-2*(x - 2)*(x + 1)**2/5
Factor 131*p**2 - 3*p - 131*p**2 + 3*p**3.
3*p*(p - 1)*(p + 1)
Let d(x) be the second derivative of -x**2 - 3*x + 0 - 1/6*x**4 + 2/3*x**3. Factor d(v).
-2*(v - 1)**2
Factor 72/5*k - 12/5*k**3 - 3 - 9*k**2.
-3*(k - 1)*(k + 5)*(4*k - 1)/5
Let x be (-152)/(-26) - 2/(-13). Factor 7 - 3*j**2 - 7 - x*j.
-3*j*(j + 2)
Let a(w) be the first derivative of -2*w**3/27 - 4*w**2/9 - 8*w/9 - 1. Determine x so that a(x) = 0.
-2
Let v be 4/(-20)*-5*(-4 - -4). Factor 2*n**5 + 0 + 0*n + v*n**2 - 2/3*n**3 - 4/3*n**4.
2*n**3*(n - 1)*(3*n + 1)/3
Determine o, given that 3/4*o**2 + 0 + 3/2*o = 0.
-2, 0
Let j be ((-1)/3)/((-5)/30). Factor -j*c**2 - 2 - 2*c**2 + 6*c - 2*c**2 + 2*c**3.
2*(c - 1)**3
Let m(c) = 97*c**3 + 220*c**2 - 221*c + 45. Let v(x) = 98*x**3 + 220*x**2 - 222*x + 46. Let t(d) = 2*m(d) - 3*v(d). Solve t(o) = 0.
-3, 2/5
Let x(y) be the first derivative of -4/3*y**3 + 0*y + 0*y**2 + 2 - 1/3*y**6 + 1/2*y**4 + 4/5*y**5. Let x(s) = 0. Calculate s.
-1, 0, 1, 2
Let x(m) be the first derivative of -2*m**3/3 - 2*m**2 - 2*m - 4. Find n such that x(n) = 0.
-1
Suppose -5*k = -4*u - 26, -4*k + 5*u + 28 = -0*u. Let b(w) be the second derivative of 1/60*w**5 + 0 + 0*w**k + 0*w**3 - 1/36*w**4 + 2*w. Factor b(s).
s**2*(s - 1)/3
Suppose -4*x + 4 = -4. Determine l so that -3*l**2 - l**x - l + 3*l**2 = 0.
-1, 0
Let i(b) be the second derivative of -b**4/4 - 4*b**3 - 24*b**2 + 2*b. Solve i(v) = 0.
-4
Solve -6*f**2 - 4*f + 3*f**3 + f + 12*f**2 - 6 = 0.
-2, -1, 1
Let b(v) be the second derivative of 1/210*v**7 + 1/15*v**4 - 1/50*v**5 - 1/5*v**2 + 0 - 3*v - 1/75*v**6 + 1/30*v**3. Let b(s) = 0. Calculate s.
-1, 1, 2
Suppose 10/7*u**3 + 2/7*u**2 + 6/7*u**5 + 2*u**4 + 0*u + 0 = 0. Calculate u.
-1, -1/3, 0
Let o(h) be the first derivative of h**7/165 - 3*h**6/220 + h**5/165 + 2*h**2 - 4. Let a(l) be the second derivative of o(l). Suppose a(k) = 0. Calculate k.
0, 2/7, 1
Let k(d) = 1. Let b(q) = -2*q**2 - 8*q - 3. Let f(i) = -2*b(i) + 10*k(i). De