*o**4 - 3*o**3 = 0?
0, 1
Let m be ((-16)/12)/(-1 + -3). Let t(g) be the second derivative of 1/12*g**5 - 1/36*g**4 - m*g**2 - 2*g - 5/18*g**3 + 0 + 1/30*g**6. Factor t(f).
(f - 1)*(f + 1)**2*(3*f + 2)/3
Suppose 2*s + 12 = -2*s. Let j be (-12 - 0)/s + -2. Factor -2/3*v**j - 4/3 + 2*v.
-2*(v - 2)*(v - 1)/3
Suppose 4*i - 10 = 30. Let 7*v**2 + 8*v - 23*v**2 - 4*v**4 + v**4 + i*v**3 + v**4 = 0. Calculate v.
0, 1, 2
Suppose 4*z = g + 1, -5*g + 3*z + 12 = -0*g. Suppose 2*l - 8 = -2*l. Find t, given that 4*t - l - 4*t**2 + 0*t**g + t + t**3 = 0.
1, 2
Let c = -2120/9 + 236. Let v(q) be the first derivative of -c*q**3 + 1 - 1/6*q**2 + 0*q - 1/18*q**6 - 1/2*q**4 - 4/15*q**5. Solve v(z) = 0.
-1, 0
Let j(f) be the second derivative of 0*f**2 - 1/60*f**4 + 0*f**3 - 3/100*f**5 - 2*f + 0 - 1/210*f**7 - 1/50*f**6. Factor j(v).
-v**2*(v + 1)**3/5
Suppose -3*x + p - 196 = -3*p, 0 = 4*x - 5*p + 260. Let a be (64/x)/(4/(-10)). Solve -a*r**2 - 2/3 - 8/3*r = 0.
-1/2
Determine z so that 20/3*z**4 + 0*z + 0 + 10/3*z**2 - 15*z**3 = 0.
0, 1/4, 2
Let h be 1 - (2/(-10))/(-1). Factor 0 + 8/5*j**3 + 0*j + j**4 - h*j**2.
j**2*(j + 2)*(5*j - 2)/5
Solve -4*x**5 - 8*x**4 - 5*x**2 + 2*x**2 + 11*x**2 + 4*x = 0.
-1, 0, 1
Let l be 1/14 + 2/4. Let k = 184/7 + -26. Factor -2/7*y**2 - k - l*y.
-2*(y + 1)**2/7
Let b be 2/(-1) + (-33)/(-15). Let z(w) be the second derivative of b*w**5 + 1/4*w**4 - 2/15*w**6 + 1/2*w**2 - 2/3*w**3 - w + 0. What is a in z(a) = 0?
-1, 1/2, 1
Let x be (-31)/(-186) - (-2)/36. Determine h so that -2 - 4/3*h - x*h**2 = 0.
-3
Let d be -2 + 3/4*4. Let s = -1/3 + d. Suppose -s*b + 1/3*b**2 + 0 + 1/3*b**3 = 0. What is b?
-2, 0, 1
Let h = 53 - 158/3. Factor -h*s**3 + 0*s + 0 + 0*s**2.
-s**3/3
Let y(x) be the first derivative of x**6/9 - x**4/6 + 8. Factor y(c).
2*c**3*(c - 1)*(c + 1)/3
Let f(g) be the second derivative of 0*g**5 - 1/6*g**4 + 1/2*g**2 + 1/30*g**6 - 2*g + 0 + 0*g**3. What is z in f(z) = 0?
-1, 1
Let m(y) be the third derivative of -y**7/735 + y**6/140 + 2*y**5/105 + 35*y**2. Factor m(f).
-2*f**2*(f - 4)*(f + 1)/7
Let h be ((-6)/5)/(8/20). Let n be ((-1)/h)/((-1)/(-18)). Factor -3*k - 2 + k**2 - 3*k**3 + k - k + k**4 + n*k.
(k - 2)*(k - 1)**2*(k + 1)
Let a = -132 + 397/3. Factor a*n**2 - 1/3*n**3 + 0*n + 0.
-n**2*(n - 1)/3
Let g(l) = 15*l**4 - 26*l**3 + 19*l**2 - 5*l. Let k(y) = 74*y**4 - 130*y**3 + 94*y**2 - 24*y. Let d(q) = -14*g(q) + 3*k(q). Factor d(c).
2*c*(c - 1)**2*(6*c - 1)
Let a(k) be the first derivative of 0*k + k**3 - 3 + 3/2*k**2. Let a(d) = 0. Calculate d.
-1, 0
Let r(t) be the second derivative of t**6/240 - t**5/180 - t**4/144 + 9*t**2/2 - 9*t. Let v(i) be the first derivative of r(i). Suppose v(h) = 0. Calculate h.
-1/3, 0, 1
Let p = -3 - -2. Let b = p + 3. Factor -1/2*d**3 + 0 + 0*d**b + 0*d - 1/2*d**4.
-d**3*(d + 1)/2
Factor -8/7*l**4 - 4/7*l**2 + 2/7*l**5 + 10/7*l**3 + 0 + 0*l.
2*l**2*(l - 2)*(l - 1)**2/7
Suppose -9*k + 4 = -5*k. Let v be (13 - 7)/(k*2). What is z in -2/9*z**4 - 2*z**2 + 10/9*z**v + 14/9*z - 4/9 = 0?
1, 2
Let r(k) be the first derivative of 1/16*k**6 - 1/2*k**3 + 2*k**2 + 0*k + 1/16*k**4 + 1/5*k**5 + 3. Let c(a) be the second derivative of r(a). Factor c(v).
3*(v + 1)**2*(5*v - 2)/2
Let n = -3 - -6. Suppose -p + 0*p + n = 0. Factor 24*l**p + 2*l + 18*l**2 - 3*l + 10*l**4 + 5*l.
2*l*(l + 1)**2*(5*l + 2)
Let q(a) = a + 1. Let v(i) = -i**2 + 5*i + 6. Let n(u) = 2*q(u) - v(u). Solve n(l) = 0 for l.
-1, 4
Determine q, given that 0 + 4/7*q**3 + 0*q**2 + 0*q + 18/7*q**4 + 2*q**5 = 0.
-1, -2/7, 0
Let c(d) = 5*d**2 + 3*d. Let o(m) = 19*m**2 + 11*m. Let v(n) = -22*c(n) + 6*o(n). Solve v(j) = 0 for j.
0
Let c(h) be the third derivative of h**5/20 - h**4/8 - 38*h**2. Let c(b) = 0. Calculate b.
0, 1
Let w = -4 + 1. Let o be (-4)/w - 4/(-6). Solve o*z - 2/3*z**2 - 4/3 = 0 for z.
1, 2
Let a be 47/36 - (-27)/(-36). Let t(g) be the first derivative of -1/27*g**6 - a*g**2 - 5/9*g**4 - 2/9*g - 2 - 20/27*g**3 - 2/9*g**5. Factor t(r).
-2*(r + 1)**5/9
Let h be 4/(-22) - 276/(-66). Factor -4*a - 2*a**2 + h*a.
-2*a**2
Suppose 4*z + 24 = 4*f, 2*f + 15 = 5*f - 2*z. Suppose n**2 - 4*n**3 + n**3 - n**3 + 5*n**f = 0. What is n?
-1, 0
Let d be 16 + 3 + 1 - 1. Suppose 0 = 4*o + 7 - d. Factor 0*g**2 - 9*g**o + 9*g + 6 + g**2 + 0*g**2 - 7*g**2.
-3*(g - 1)*(g + 1)*(3*g + 2)
Let y(w) be the first derivative of -2*w**6/3 - 4*w**5/5 + w**4 + 4*w**3/3 + 10. Factor y(r).
-4*r**2*(r - 1)*(r + 1)**2
Suppose -i = -2*u - 4 + 3, -4*i + 14 = -3*u. Let v be u/(-5)*7/(-1). Factor 6/5*r**4 - 16/5*r**3 + 0 + v*r**2 - 4/5*r.
2*r*(r - 1)**2*(3*r - 2)/5
Factor 0*f**2 - 4/15*f**3 + 0 + 0*f + 6/5*f**4 - 14/15*f**5.
-2*f**3*(f - 1)*(7*f - 2)/15
Suppose -56 = 3*t - 7*t. Let s be (-32)/(-56)*t/6. Factor 77/3*i**2 + 49/3*i**3 + s + 32/3*i.
(i + 1)*(7*i + 2)**2/3
Let x be (1 - -1 - 16/7)/(-2). Factor -8/7 + 2/7*u**2 - 4/7*u + x*u**3.
(u - 2)*(u + 2)**2/7
Let a(y) be the first derivative of -y**6/180 + y**5/60 + y**4/6 - 4*y**3/3 + 2. Let k(t) be the third derivative of a(t). Determine x, given that k(x) = 0.
-1, 2
Let a(o) be the first derivative of o**6/1440 - o**4/96 + 7*o**3/3 + 7. Let t(p) be the third derivative of a(p). Factor t(q).
(q - 1)*(q + 1)/4
Let d(b) be the second derivative of -2*b**7/147 + 2*b**5/35 - 2*b**3/21 - 9*b. Factor d(k).
-4*k*(k - 1)**2*(k + 1)**2/7
Let w(u) be the third derivative of u**7/105 - u**5/15 + u**3/3 + 17*u**2. Determine j so that w(j) = 0.
-1, 1
Factor -14/5*g**3 + 16/5 + 74/5*g**2 - 76/5*g.
-2*(g - 4)*(g - 1)*(7*g - 2)/5
Let a(m) be the third derivative of m**6/10 - m**5/15 - 2*m**2. Find o such that a(o) = 0.
0, 1/3
Suppose 0 = 2*t - 3*t + 2. Let f(g) be the third derivative of 1/60*g**5 + g**t + 0*g**4 + 0*g - 1/6*g**3 + 0. Factor f(b).
(b - 1)*(b + 1)
Let f(t) = -t**2 + 14*t - 13. Let h be f(13). Suppose -2/5*n**2 + h*n + 2/5 = 0. Calculate n.
-1, 1
Let f = 8 - 7. Let m be (f + -2)/2 + 1. Find u such that -1 - 1/2*u + m*u**2 = 0.
-1, 2
Let l be (-13)/(-26)*20/7. Suppose 0 - 6/7*a**4 + 6/7*a**2 + 2/7*a + 8/7*a**5 - l*a**3 = 0. What is a?
-1, -1/4, 0, 1
Suppose 7*i = 2*i + 10. Let q(h) be the first derivative of -2/3*h**i - 3 - 2/3*h - 2/9*h**3. Let q(k) = 0. What is k?
-1
Factor -2/9*w**3 + 0 - 2/9*w**2 + 2/9*w**4 + 2/9*w.
2*w*(w - 1)**2*(w + 1)/9
Let k be (2/(-12))/((-19)/57). Find y such that k + 7/4*y + 5/4*y**2 = 0.
-1, -2/5
Let l = -2/5 + 33/70. Let p(i) be the first derivative of -2/21*i**3 - 2 + l*i**4 - 1/7*i**2 + 0*i + 2/35*i**5. Factor p(u).
2*u*(u - 1)*(u + 1)**2/7
Let s be (-18)/(-4) - (-3)/(-6). Suppose -4*d + 22 = -f - 3, 0 = d + 3*f + 10. Determine a, given that 3 + s*a**3 + 3*a - a**4 - d - 7*a + 3*a**4 = 0.
-1, 1
Let l(a) = 2*a - 2. Let q(h) be the first derivative of h**3/3 - h**2/2 - 1. Let x(f) = -l(f) + 3*q(f). Suppose x(z) = 0. What is z?
2/3, 1
Suppose 0*j + 4*j - 8 = 0. Factor -3 - 4*c**2 + 1 + c**2 + c**j + 4*c.
-2*(c - 1)**2
Let j(d) be the first derivative of 0*d**3 - 5/6*d**6 + 0*d**2 - 5 + 1/2*d**4 + 3/5*d**5 + 0*d. Find l such that j(l) = 0.
-2/5, 0, 1
Let r(x) be the first derivative of x**9/21168 - x**8/11760 - x**7/5880 + x**6/2520 - 5*x**3/3 + 2. Let w(a) be the third derivative of r(a). Factor w(n).
n**2*(n - 1)**2*(n + 1)/7
Suppose -7*d + 24 = -3*d. Let p = -6 + d. Factor -2/3*s**3 + p*s - 2/3*s**2 + 0.
-2*s**2*(s + 1)/3
Suppose 2*c + x + 8 = 0, -3*x + 3 = -5*c + 5. Let t(o) = 5*o**2 + 3*o - 2. Let n(p) = 2*p**2 + 1 - p - 5*p**2 + 2*p**2. Let a(w) = c*n(w) - t(w). Factor a(v).
-v*(3*v + 1)
Let s = 8 - -3. Let o = s - 7. Find b such that b**2 + 2*b**4 - 3*b**2 + 2*b + 0*b**o - 2*b**3 = 0.
-1, 0, 1
Let i(o) = o**2 + 4*o - 2. Let v be i(-6). Let l = v + -7. Factor m**l - 2*m + 5*m - 2*m - 3*m**2 + 5*m**2.
m*(m + 1)**2
Let l(c) = c**2 - 2*c - 5. Let x be l(5). Let o = -7 + x. Factor 4*s**4 - 2*s**5 + s**3 - 2*s**3 - s**o.
-2*s**3*(s - 1)**2
Let r be -2 - 13/((-65)/30). Suppose -2*k + c - r*c = -15, 0 = -3*k + 4*c - 20. Let k*b + 0 + 0*b**2 - 3/4*b**3 + 3/2*b**4 - 3/4*b**5 = 0. Calculate b.
0, 1
Let -2 + 3*j**3 + 3*j**3 + 2*j**4 - 4*j - 2*j**3 = 0. Calculate j.
-1, 1
Let h = -178 + 721/4. Factor -3/4*l - 3/2*l**3 - h*l**2 + 0.
-3*l*(l + 1)*(2*l + 1)/4
Let b(w) = 9*w**2 + 17*w - 5. Suppose -2*m - 4*o - 35 = m, 0 = -4*m + 4*o - 56. Let r(z) = 4*z**2 + 8*z - 2. Let p(q) = m*r(q) + 6*b(q). Solve p(s)