 m(g) = -g**2 + g. Let o(p) = -5*p**2 + 8*p. Suppose b = -5*r - 6, -5*r - 4*b - 8 = -r. Let l(j) = r*o(j) + 6*m(j). Factor l(c).
-c*(c + 2)
Let r(x) = -4*x**3 + 3*x**2 - x. Let u be r(2). Let b = u + 68/3. Factor -2/3*d**2 + 4/3*d - b.
-2*(d - 1)**2/3
Let i = 7 - 3. Let q(g) = g**2 - 3*g - 2. Let h be q(i). Factor v**3 - v - 1/2 + 1/2*v**4 + 0*v**h.
(v - 1)*(v + 1)**3/2
Let a(k) be the second derivative of 2*k**3 + 3*k - 6*k**2 + 0 - 1/4*k**4. Factor a(b).
-3*(b - 2)**2
What is h in -242/5*h**2 - 8/5 + 88/5*h = 0?
2/11
Let v(p) = -3*p**3 - 1. Let r be v(1). Let g(i) = -2*i**2 + i + 4. Let s(w) = -w**2 - w + 1. Let q(k) = r*g(k) + 4*s(k). Factor q(h).
4*(h - 3)*(h + 1)
Let x = 12 + -7. Solve z**x - 4*z**4 - 2*z**2 + 2*z**4 + 3*z**3 + z**2 - z**4 = 0 for z.
0, 1
Let z(w) be the first derivative of w**8/420 - w**6/90 - 2*w**3/3 + 7. Let p(t) be the third derivative of z(t). Factor p(k).
4*k**2*(k - 1)*(k + 1)
Let a(z) be the first derivative of 0*z**2 + 0*z - 1/5*z**5 + 1 + 0*z**4 + 0*z**3. Factor a(b).
-b**4
Find o such that 48*o - 2*o**4 - 3*o**4 + o**4 - 21*o**3 + 17*o**3 + 32*o**2 = 0.
-2, 0, 3
Suppose -4*b + b + 6 = 5*z, -6 = -2*z - 3*b. Suppose 0 = -2*t + 2 - z. Solve 2*x - 3*x + 2*x**3 + x**2 - x**3 - t = 0 for x.
-1, 1
Let w = -383 - -384. Let 5/2*n**3 - 5/2*n + w - n**2 = 0. What is n?
-1, 2/5, 1
Let i be 3/(3/(-6) - -2). What is v in 0 + 0*v**i + 0*v - 2/5*v**4 + 0*v**3 + 2/5*v**5 = 0?
0, 1
Suppose -28 = -a + 4*n - 12, a + 2*n + 2 = 0. Let k be a + 0 - -1*1. Factor -13 - z**k - z + 2*z**3 + 13.
-z*(z - 1)**2*(z + 1)**2
Let j be 1 - -2 - 441/189. Factor -2/3*b - j + 2/3*b**2 + 2/3*b**3.
2*(b - 1)*(b + 1)**2/3
Factor 1/5*o**4 - 1/5*o**2 + 1/5*o - 1/5*o**3 + 0.
o*(o - 1)**2*(o + 1)/5
Let 5*z**2 + 9*z**5 + 3*z**3 - 4*z**2 + 3*z**4 + 0*z**5 - 8*z**5 = 0. What is z?
-1, 0
Let t be (-6)/(2*(1 + -2)). Suppose -120*h - 3*h**t - 9*h - 65 - 36*h**2 - 127 - 15*h = 0. Calculate h.
-4
Let i(s) be the second derivative of -s**4/12 - s**3/3 - 10*s. Factor i(t).
-t*(t + 2)
Let s be (4/10)/((-3)/15). Let v(p) = -5*p**3 - p**2 + 4*p + 2. Let q(i) = -5*i**3 + 5*i + 3. Let a(h) = s*q(h) + 3*v(h). Let a(f) = 0. Calculate f.
-1, 0, 2/5
Let b = 8 - 6. Factor -3*u**b + 1 - 3 + 8 - 3*u.
-3*(u - 1)*(u + 2)
Let 2*b**2 + 16 - 21 + 8*b + 13 = 0. What is b?
-2
Factor 2/3*y**3 + 0 + 0*y - 2/3*y**2.
2*y**2*(y - 1)/3
Factor 1/3 + x**2 - 4/3*x.
(x - 1)*(3*x - 1)/3
Let o be -1 + 0 - (-8 + 4). Suppose -d + 19 = -l, -o*l - 2*l = 0. Suppose 32*q**4 + 16*q**3 + q - d*q**2 - 11*q**2 - 17*q - 2 = 0. What is q?
-1, -1/4, 1
Suppose -44 = 3*g - 188. Let j be (-5 + 6)*2*g. Factor -3/2 - 54*k**2 + j*k**4 + 24*k**3 + 33/2*k.
3*(k + 1)*(4*k - 1)**3/2
Suppose 9 = 3*c - 0. Factor 0 + 16/7*g**c + 10/7*g**4 + 2/7*g**2 - 4/7*g.
2*g*(g + 1)**2*(5*g - 2)/7
Let f(y) = -6*y**3 + 42*y**2 - 6*y. Let g = 8 + -6. Let l(c) = -14*c - c**g + 14*c - c**3. Let v(s) = -f(s) - 15*l(s). Factor v(t).
3*t*(t - 1)*(7*t - 2)
Factor 10/9*h + 4/9 - 14/9*h**2.
-2*(h - 1)*(7*h + 2)/9
Let v(i) be the first derivative of -i**5/70 - i**4/42 + 2*i**3/21 - 7*i + 4. Let j(f) be the first derivative of v(f). Factor j(r).
-2*r*(r - 1)*(r + 2)/7
Let v = 14086/45 - 313. Let w(x) be the third derivative of -1/360*x**6 + 0 + 1/9*x**3 + 0*x + 2*x**2 - 5/72*x**4 + v*x**5. Factor w(a).
-(a - 2)*(a - 1)**2/3
Let g(s) be the third derivative of -s**7/210 - s**6/120 + s**5/60 + s**4/24 + 29*s**2. Factor g(j).
-j*(j - 1)*(j + 1)**2
Suppose 0 = -o + 2*w + 12, -3*o + 66 = 4*w - 0. Let a be (14 - o)*(-2)/12. Factor a*s**2 + 0 + 2/3*s.
2*s*(s + 1)/3
Suppose -4*w + 2*b = -9*w + 3, 0 = -5*w + 4*b + 9. Factor -4*d**4 + 2*d**2 - 3*d + d**5 + 2*d**3 + w + d**4 + 0*d**4.
(d - 1)**4*(d + 1)
Suppose -3*l + 21 = 5*i, 5 = 5*i + 3*l - 8*l. Factor 0*x**2 + 1/4*x**4 + 0*x + 0 - 1/4*x**i.
x**3*(x - 1)/4
Let t(j) = -j**3 - 3*j**2 - 3*j + 7. Let v = 40 + -43. Let s = 3 - 4. Let m(b) = b - 1. Let w(c) = s*t(c) + v*m(c). Let w(a) = 0. Calculate a.
-2, 1
Let m(y) be the second derivative of y**6/15 - y**5/10 - y**4/6 + y**3/3 - 7*y. Suppose m(g) = 0. Calculate g.
-1, 0, 1
Let w = 76/3 + -25. Let d be (-4)/(-4) + 3/(-9). Factor -d*x**2 + 0 - 1/3*x**3 - w*x.
-x*(x + 1)**2/3
Let s(j) be the first derivative of -3*j**4/16 - j**3/4 + 4. Factor s(z).
-3*z**2*(z + 1)/4
Let k(s) be the first derivative of s**6/27 + 2*s**5/9 + 5*s**4/9 + 20*s**3/27 + 5*s**2/9 + 2*s/9 + 9. Factor k(j).
2*(j + 1)**5/9
Let d = -33 - -103/3. Factor 0 - 14/3*j**2 + d*j.
-2*j*(7*j - 2)/3
Let k(y) be the third derivative of y**5/210 + y**4/42 - y**3/7 + 46*y**2. Factor k(v).
2*(v - 1)*(v + 3)/7
Let t(w) = -9*w**4 + 15*w**3 - 17*w**2 + 11*w. Let v(g) = -5*g**4 + 8*g**3 - 9*g**2 + 6*g. Let y(s) = -4*t(s) + 7*v(s). Determine q so that y(q) = 0.
0, 1, 2
Let l(u) = u**2 + u - 1. Let q(j) = 2*j**2 + 5*j + 4. Let h(x) = l(x) + q(x). Let h(s) = 0. Calculate s.
-1
Factor -8/5 - 2/5*z**3 - 18/5*z - 12/5*z**2.
-2*(z + 1)**2*(z + 4)/5
Let a be (-2)/9 + -3 + (-168)/(-27). Let j(t) be the first derivative of a*t**2 + 1/8*t**4 - t**3 - 4*t + 2. Solve j(s) = 0.
2
Let m = -167 - -172. Factor -2/3*n + 2/3*n**4 + 2/3 - 2/3*n**m - 4/3*n**2 + 4/3*n**3.
-2*(n - 1)**3*(n + 1)**2/3
Let x(q) be the third derivative of -q**5/270 + q**4/108 + 7*q**2. Factor x(y).
-2*y*(y - 1)/9
Suppose -f - 40 = 2. Let l = -83/2 - f. Solve t**2 + 5/4*t + 1/4*t**3 + l = 0.
-2, -1
Let j be -5 + (27/6 - -1). Suppose 5/2*o + 5*o**2 + 5/2*o**4 + j*o**5 + 1/2 + 5*o**3 = 0. Calculate o.
-1
Let b**4 + 4*b**3 - b**2 - 2*b**3 + 0*b**3 - b**3 - b = 0. Calculate b.
-1, 0, 1
Suppose 2 = 3*s - 10. Factor 2 + 1/2*p**2 + s*p - 3/2*p**3.
-(p - 2)*(p + 1)*(3*p + 2)/2
Let f(x) be the third derivative of -2*x**7/945 - x**6/540 + 2*x**5/45 + x**4/108 - 10*x**3/27 - 21*x**2. Suppose f(d) = 0. Calculate d.
-5/2, -1, 1, 2
Let c(b) be the second derivative of b**8/8960 + b**7/3360 + b**4/6 + 4*b. Let f(j) be the third derivative of c(j). Let f(r) = 0. What is r?
-1, 0
Let t(v) = 7*v**2 - 3*v + 2. Let p(b) = -20*b**2 + 10*b - 7. Let h(g) = 6*p(g) + 17*t(g). What is y in h(y) = 0?
1, 8
Let k(l) be the second derivative of -1/10*l**6 + 0 - 6*l + 0*l**3 - 3/20*l**5 + 1/2*l**4 + 0*l**2. Let k(z) = 0. Calculate z.
-2, 0, 1
Let m = 36 - 36. Let l(o) be the third derivative of 0*o**4 + 0 + 0*o + 0*o**3 + o**2 + m*o**6 - 1/840*o**7 + 1/240*o**5. Determine i, given that l(i) = 0.
-1, 0, 1
Let m = -81 - -86. Factor 1/3*c**m + 2/3*c**2 + 0 - 1/3*c + 0*c**3 - 2/3*c**4.
c*(c - 1)**3*(c + 1)/3
Let g be 4 - 2/(0 - -2). Let z(l) = -l**3 + l**2 - 5*l + 2. Let y(d) = -4*d**3 + 4*d**2 - 16*d + 6. Let v(c) = g*y(c) - 10*z(c). Let v(j) = 0. Calculate j.
-1, 1
Suppose -6 - 3*m**2 + 15*m - 8*m - 16*m = 0. What is m?
-2, -1
Factor 2 - z**2 + 2*z**2 - 8*z - 5*z**2 - 6.
-4*(z + 1)**2
Let v(k) be the second derivative of k**7/231 - k**6/33 + k**5/22 + 5*k**4/66 - 2*k**3/11 - 19*k. Let v(s) = 0. What is s?
-1, 0, 1, 2, 3
Let i(g) be the second derivative of g**7/147 - 4*g**6/35 + 47*g**5/70 - 26*g**4/21 - 16*g**3/7 + 64*g**2/7 - 8*g. Factor i(s).
2*(s - 4)**3*(s - 1)*(s + 1)/7
Let j(w) be the first derivative of w**3 + 3*w**2/2 - 56. Factor j(r).
3*r*(r + 1)
Let x(s) be the first derivative of -s**7/70 + 3*s**6/40 - s**5/10 + 3*s**2/2 - 4. Let j(w) be the second derivative of x(w). Solve j(y) = 0.
0, 1, 2
Suppose 3*l = -0*l + 12. Suppose -4 - 4 = -l*c. What is h in -h**2 - 2*h**2 - c*h - 2*h**3 + 7*h**2 = 0?
0, 1
Let t be (-1)/(-6)*621/46. Determine c, given that 3*c - 15/4*c**3 + 3*c**2 + 0 - t*c**4 = 0.
-2, -2/3, 0, 1
Let l be (-56)/2016 - (-1)/4. Suppose 0 + l*d - 1/3*d**2 = 0. What is d?
0, 2/3
Factor 5*l**3 - l**2 - 12*l**2 + 3*l**2 + 5*l.
5*l*(l - 1)**2
Let o = -1 + 2. Let d(j) = -j**2 + j - 1. Let r(t) = t**2 - 3*t + 2. Let x(l) = o*r(l) + 2*d(l). Factor x(h).
-h*(h + 1)
Suppose 0*f = -5*f. Let d = f + 3. Determine w, given that -3*w + 4*w - 3*w**d + 2*w**3 = 0.
-1, 0, 1
Let -13 - 28*d**3 + 28*d + 32*d**3 - 20*d**2 + 1 = 0. What is d?
1, 3
Let h(z) be the first derivative of -z**7/2520 + z**6/540 + 4*z**3/3 - 3. Let f(d) be the third derivative of h(d). Factor f(o).
-o**2*(o - 2)/3
Let f(d) = 7*d**3 + 9*d**2 + 1. Let r(b) = -7*b**3 - 10*b**2 - b. Suppose 3*q = 3*k - 24, 5*k - 2*q - 25 = -0*q. Let u(i) = k*r(i) + 2*f(i). Factor u(p).
-(p + 1)**2*(7*p - 2)
Let p = 654 + -6