). Factor l(f).
-f*(3*f + 1)**2
Suppose 23 + 7 = 2*l. Suppose 4*j + j = l. Find v, given that -6*v**5 - 8*v**3 + 11*v**j + 3*v**5 = 0.
-1, 0, 1
Let p(j) be the second derivative of j**4/28 - 2*j**3/7 + 9*j**2/14 - 4*j + 5. Factor p(k).
3*(k - 3)*(k - 1)/7
Suppose -77*v = -81*v + 12. Determine z, given that 0*z**v + 1/3*z**2 + 0 - 1/3*z**4 + 0*z = 0.
-1, 0, 1
Suppose 2*k + 0*x + x = 5, -12 = -5*k - 3*x. Factor -7*t**4 + 2*t**3 - 2*t**2 + 1 + t**4 + 7*t**4 + t - 4*t**k + t**5.
(t - 1)**2*(t + 1)**3
Suppose 2*q - 5 - 5 = 0. Determine s, given that 0*s**5 + s**q - 2*s**4 + s**5 = 0.
0, 1
Let s(h) be the third derivative of 1/6*h**3 + 0*h**4 - 1/360*h**5 + 0*h + 0 - 1/1080*h**6 - h**2. Let t(u) be the first derivative of s(u). Factor t(i).
-i*(i + 1)/3
Let d(f) be the third derivative of -f**8/112 - f**7/35 + f**6/10 + f**5/10 - 3*f**4/8 - 8*f**2. Solve d(q) = 0 for q.
-3, -1, 0, 1
Let l(s) be the first derivative of 0*s**2 + 2 + 0*s**3 + 0*s + 1/10*s**4. Factor l(a).
2*a**3/5
Let w(m) be the second derivative of -2*m**7/21 - 8*m**6/15 - m**5 - 2*m**4/3 - 6*m. Determine n so that w(n) = 0.
-2, -1, 0
Let k(v) be the third derivative of v**7/525 + v**6/150 - v**5/50 - 12*v**2. Factor k(w).
2*w**2*(w - 1)*(w + 3)/5
Let i(v) be the second derivative of v**4/78 + 3*v**3/13 - 10*v**2/13 - 47*v. Find j, given that i(j) = 0.
-10, 1
Let m(i) be the third derivative of -2*i**7/105 + i**6/30 + i**5/5 - 5*i**4/6 + 4*i**3/3 + 14*i**2. Factor m(h).
-4*(h - 1)**3*(h + 2)
Let h(z) be the first derivative of -z**4 + 4*z**3/3 + 4*z**2 - 25. Determine g so that h(g) = 0.
-1, 0, 2
Let p be (-429)/(-60) - (-4)/(-10). Let a = -266 + 275. Suppose -9*t**4 + a*t**2 - 15/4*t**3 - 3*t + 0 + p*t**5 = 0. Calculate t.
-1, 0, 2/3, 1
Let j(x) = -2*x**3 + 2*x + 6. Let z(r) = r**3 + 2. Let s be z(-2). Let w(n) = -2*n**3 + 2*n + 5. Let a(y) = s*w(y) + 5*j(y). Determine t, given that a(t) = 0.
-1, 0, 1
Suppose -5*p = -4*p - 8. Suppose -2*n + f = -11, f - 5 = -4*n + p. Find t, given that 2*t**2 + 4*t**2 - t + 3*t + 3*t**4 - t**n + 6*t**3 = 0.
-1, 0
Let o be 4 - 3/(-9)*-6. Factor 6*z - 34*z**3 + 2*z + 8 + 6*z**5 + 2*z**4 + 12*z**3 - 18*z**o.
2*(z - 2)*(z + 1)**3*(3*z - 2)
Suppose 4 = -a - 0. Let m be (-2)/a + 6/(-28). Factor 0*t**2 - 2/7*t + m*t**3 + 0.
2*t*(t - 1)*(t + 1)/7
Let q(r) be the second derivative of r**6/60 - r**5/100 - r**4/24 + r**3/30 - r. Let q(f) = 0. Calculate f.
-1, 0, 2/5, 1
Let a(v) = -27*v**4 + 33*v**3 + 75*v**2 + 24*v - 9. Let f(j) = 7*j**4 - 8*j**3 - 19*j**2 - 6*j + 2. Let z(c) = 2*a(c) + 9*f(c). Suppose z(p) = 0. What is p?
-1, -1/3, 0, 2
Let i(d) = -7*d**2 + 8*d. Let f(o) = 2 + o - o**2 - 2. Let l(m) = -m**2 + 2*m + 6. Let u be l(6). Let b(h) = u*f(h) + 2*i(h). Factor b(r).
2*r*(2*r - 1)
Let a(d) = d**3 - 4*d**2 - 4*d - 11. Let b be a(6). Let r = b - 34. Let 0 + 1/3*f**r + 1/3*f**2 + 0*f = 0. What is f?
-1, 0
Let w = 8 - 6. Solve -2 - 3*s**w + 3*s + 2 = 0.
0, 1
Factor -12/5*o**2 - 28/5*o + 24/5.
-4*(o + 3)*(3*o - 2)/5
Determine h, given that 4*h**3 - 16/7 - 32/7*h - 4/7*h**2 + 20/7*h**4 + 4/7*h**5 = 0.
-2, -1, 1
Let z = 257857 - 51829117/201. Let q = -2/67 + z. Determine s so that -4/3*s**2 + 2*s - q = 0.
1/2, 1
Let f(q) = 2*q**2 + 7*q + 5. Let w be f(-4). Let b(z) = 6 + 4*z - 24 + 4 + 6 + 3*z**2. Let y(v) = -7*v**2 - 8*v + 17. Let n(d) = w*b(d) + 4*y(d). Factor n(p).
-(p - 2)**2
Let f(p) be the second derivative of -p**6/300 - p**5/200 + 14*p. Factor f(y).
-y**3*(y + 1)/10
Let m(h) be the third derivative of -1/280*h**6 + 0*h + 4*h**2 + 1/56*h**4 + 1/140*h**5 - 1/14*h**3 + 0. Let m(v) = 0. What is v?
-1, 1
Let -1 - 3*z - 3*z**3 + 6*z**2 + 1 = 0. What is z?
0, 1
Let d(o) be the first derivative of -2/3*o - 2/3*o**2 - 2/9*o**3 + 5. Find b such that d(b) = 0.
-1
Let w be (-69)/(-180) - (-4)/(-16). Let d(t) be the first derivative of -1 + 2/3*t**2 - w*t**5 + 2/3*t + 0*t**3 - 1/3*t**4. Factor d(f).
-2*(f - 1)*(f + 1)**3/3
Suppose 8 = 9*w - 5*w. Let x(n) be the second derivative of w*n**2 - n + 0 + 1/3*n**3 - 1/6*n**4. Factor x(d).
-2*(d - 2)*(d + 1)
Suppose -3*m - 5 = -2*l, 2*m + 18 = 5*l - 0*l. Let v = 19/75 - -2/25. Factor 1/3*u**l + 0 + 0*u + v*u**3 + 0*u**2.
u**3*(u + 1)/3
Let o(s) be the first derivative of s**5/80 - 3*s**4/32 + s**3/4 + 5*s**2/2 - 4. Let x(q) be the second derivative of o(q). Factor x(t).
3*(t - 2)*(t - 1)/4
Let r be (-4)/14 - 20/(-70). Let h be ((-10)/4)/(3 + 8/(-1)). What is w in 0*w + r*w**2 + h*w**3 + 1/2*w**5 - w**4 + 0 = 0?
0, 1
Let g(r) be the first derivative of 3*r**4/20 - r**3/5 - 3*r**2/5 + 23. Factor g(b).
3*b*(b - 2)*(b + 1)/5
Let u(v) be the second derivative of -2/15*v**6 + 2/5*v**5 - 4/3*v**3 + 4/3*v**4 + 0 - 6*v**2 - 4*v. Suppose u(l) = 0. What is l?
-1, 1, 3
Let h(z) be the second derivative of -z**6/300 + 11*z**5/200 - 7*z**4/20 + 16*z**3/15 - 8*z**2/5 - 29*z. Factor h(i).
-(i - 4)**2*(i - 2)*(i - 1)/10
Let s be -1 + 3 + 4/2. Let c be (-2 - -1) + 3 + 0. Find i, given that 12*i**4 + 4*i**3 - 14*i**c - 4*i + 5*i**s - 3*i**4 = 0.
-1, -2/7, 0, 1
Let n be 1/2 + (-2655)/(-10). Let x be n/11 - (-4)/(-22). Suppose 6*u**3 + 18*u - 4 + 0 + 4*u**3 - x*u**2 = 0. Calculate u.
2/5, 1
Let f = 1 + 1. Determine y so that 5*y**f + 2*y**3 - 5*y**2 = 0.
0
Let t(b) be the first derivative of -2*b**5/25 + b**4/5 + 8*b**3/15 - 2*b**2/5 - 6*b/5 - 12. Suppose t(f) = 0. What is f?
-1, 1, 3
Let b(l) be the first derivative of -l**3/5 + 3*l**2/2 + 42*l/5 + 39. Factor b(s).
-3*(s - 7)*(s + 2)/5
Let w(c) be the third derivative of -c**7/350 - c**6/200 + 3*c**5/100 + c**4/40 - c**3/5 - 12*c**2. Let w(t) = 0. What is t?
-2, -1, 1
Suppose 0 = -2*p - 5*s - 16, 2*p + 2*s - 5*s = 16. Let k(r) be the third derivative of 0*r**4 + 0 - 2*r**p + 0*r**3 + 0*r**5 + 0*r + 1/360*r**6. Factor k(d).
d**3/3
Let q(s) be the third derivative of -1/48*s**3 + 0*s + 0*s**4 + 7*s**2 + 0 + 1/480*s**5. Find k, given that q(k) = 0.
-1, 1
Let g(s) = -2*s**3 - 4*s**2 - 3*s - 2. Let t be g(-2). Suppose 4 = t*k - 2*k. Factor 4 + 4*y + 5*y**2 - 3*y**2 - y**k.
(y + 2)**2
Let n(a) be the third derivative of -a**5/30 + a**4/6 - a**2. Let n(o) = 0. What is o?
0, 2
Let a = -400 + 2004/5. Let -4/5*h**3 - 2/5 + 2/5*h**5 + 2/5*h + a*h**2 - 2/5*h**4 = 0. Calculate h.
-1, 1
Suppose 13 = 4*d + v, -10 = -d - 5*v - 2. Let 9*x**2 + 3*x - 26*x**3 - 22*x**d - 9*x**2 = 0. Calculate x.
-1/4, 0, 1/4
Let l(q) be the first derivative of q**5 - 9*q**4/4 - 26*q**3/15 + 18*q**2/5 - 8*q/5 - 3. Solve l(m) = 0.
-1, 2/5, 2
Suppose -2*v + 9 = -f + 6*f, -5*f - 5*v = 0. Suppose 1/3*m**f + 0 - 2/3*m**2 + 1/3*m = 0. What is m?
0, 1
Let i(v) = -v**2 + 2*v + 1. Let u be i(2). Suppose -2*p + u = -7. Solve 12/5*z**2 - 2/5*z + 6/5*z**5 - 2/5 + 28/5*z**3 + 22/5*z**p = 0 for z.
-1, 1/3
Suppose -d - 4*m + 0 - 13 = 0, -3*d + m = -26. Let l be -2*(6/(-4))/1. Factor -8*w - w**3 - d*w**l + 3*w**3 - 8*w**2 + 3*w**3.
-2*w*(w + 2)**2
Let t be 15/25 - (-12)/5. Let d(f) be the first derivative of 0*f**2 - t + 2/27*f**3 - 2/9*f. Let d(p) = 0. Calculate p.
-1, 1
Let z(o) be the first derivative of -o**4/14 - 8*o**3/21 - 5*o**2/7 - 4*o/7 - 1. Find g, given that z(g) = 0.
-2, -1
Let g be -1 - (-3 - -5)*-3. Determine b, given that -g + b**3 + 5 = 0.
0
Let j be (-31)/(-4) - (-2)/8. Let q = -31/4 + j. Determine h so that -1/4*h**2 - q - 1/2*h = 0.
-1
Let l be ((-4)/(-5))/(2/15). Let t be (-4)/(-4) + l/3. Determine z, given that 4/7*z - 2/7 + 0*z**2 - 4/7*z**t + 2/7*z**4 = 0.
-1, 1
Let o(f) = -8 + 6*f**2 + 8. Let k(c) = c**2 - c. Let g(r) = -3*k(r) + o(r). Determine x, given that g(x) = 0.
-1, 0
Suppose 27 = 4*t - t. Let 2*o**2 + t - 3*o - o**3 + o**2 - 14 + 6 = 0. What is o?
1
Let m = -6 - -4. Let q be ((-4)/20)/(1/m). Find r such that 0*r + q*r**4 - 4/5*r**2 + 2/5 + 0*r**3 = 0.
-1, 1
Factor -4*v - 4/3*v**2 + 16/3.
-4*(v - 1)*(v + 4)/3
Let j(x) be the third derivative of 2*x**7/105 + x**6/60 - 8*x**2. What is m in j(m) = 0?
-1/2, 0
Let j(k) be the second derivative of 3*k - 1/3*k**2 - 5/18*k**3 - 1/60*k**5 + 0 - 1/9*k**4. Factor j(v).
-(v + 1)**2*(v + 2)/3
Factor 4/7*o**2 - 2/7*o - 2/7*o**3 + 0.
-2*o*(o - 1)**2/7
Let m(i) = 4*i**3 + 16*i**2 - 16*i + 10. Let b(y) = -y**3 - 3*y**2 + 3*y - 2. Suppose 3*j - 20 = 22. Let k(d) = j*b(d) + 3*m(d). What is x in k(x) = 0?
1
Let q(x) = -x - 5. Let m be q(-5). Let f(z) be the third derivative of 