*2 + 9*a + 4. Let r(z) = b*l(z) + w*k(z). Factor r(s).
-2*(s - 1)*(s + 1)**2
Let x(c) be the first derivative of -c**3/3 + 5. Factor x(f).
-f**2
Let i be 27 + (1/1 - 0). Suppose 4 = -2*o - 3*r, 2*o - i = -r + 6*r. Factor -5*b + 5*b + b**2 + 0 + 4*b + o.
(b + 2)**2
Let b(g) = g**2 - g. Suppose -j = j - 4. Let r(s) = 5*s**2 + 4*s. Let h(u) = j*b(u) - r(u). Determine a, given that h(a) = 0.
-2, 0
Let z = -27 + 31. What is s in -3/2*s**3 + 0 + 0*s - 1/2*s**2 - s**z = 0?
-1, -1/2, 0
Let z(k) = k**2 + 14*k + 8. Let g be z(-14). Factor 4*s - 3*s**2 + 8*s - g - s**2.
-4*(s - 2)*(s - 1)
Let t(l) = -l. Let n(m) = -3. Let o(g) = n(g) - t(g). Let a be o(3). Factor 2*r + r**3 + a*r - 2*r**2 - r.
r*(r - 1)**2
Let f(h) be the third derivative of -h**5/60 + h**3/6 - 5*h**2. Factor f(s).
-(s - 1)*(s + 1)
Let y(p) = 4*p**3 - 7*p**2 + 4*p + 3. Let l(v) = 4*v**2 - 5*v**3 - 2 + 2*v**2 + v**3 - 4*v + v**3. Let k(c) = -3*l(c) - 2*y(c). Factor k(i).
i*(i - 2)**2
Let o(g) = -3*g**2 + 3*g. Let m(w) be the second derivative of w**4/4 - w**3/2 + 5*w. Let k(b) = 2*m(b) + 3*o(b). Factor k(z).
-3*z*(z - 1)
Let p be (-4 - 0) + (-21)/(-3). What is x in 0*x + 3/4*x**4 + 0 + 1/4*x**2 - 3/4*x**p - 1/4*x**5 = 0?
0, 1
Let v(l) be the first derivative of -l**5/10 + l**4/6 + 8*l - 9. Let p(y) be the first derivative of v(y). Factor p(s).
-2*s**2*(s - 1)
Let c(i) be the third derivative of -i**7/105 + i**6/30 + 2*i**5/15 - i**4/6 - i**3 + i**2. Factor c(s).
-2*(s - 3)*(s - 1)*(s + 1)**2
Let d(x) be the first derivative of 3*x**4 - 40*x**3/3 + 18*x**2 - 8*x + 9. Factor d(i).
4*(i - 2)*(i - 1)*(3*i - 1)
Suppose 6 = -3*v + 21. What is f in 2*f**5 - 9*f**4 - 8*f**3 + 2*f**3 - 2*f**5 - 3*f**v = 0?
-2, -1, 0
Let k(r) be the third derivative of -r**8/112 - r**7/70 + 19*r**2. Let k(o) = 0. Calculate o.
-1, 0
Let z(a) be the first derivative of -a**6/3 + a**4 - a**2 + 5. Determine m, given that z(m) = 0.
-1, 0, 1
Factor 4 - 6*i - 2*i + 19*i**2 - 15*i**2.
4*(i - 1)**2
Factor 12*y + 2*y**4 + 18*y**2 + 12*y**3 + 3 + 9*y**4 - 8*y**4.
3*(y + 1)**4
Suppose 0 = -3*x + 12, 4*x - 8 = 5*t + 2*x. Suppose -3*l - 2*i + 6 = 0, -2*i + 2 = l - t*i. Factor 1/4*m**3 + 1/4*m**l - 1/4*m - 1/4.
(m - 1)*(m + 1)**2/4
Let f(r) be the first derivative of -r**4/6 + 4*r**3/9 - r**2/3 - 7. Determine p, given that f(p) = 0.
0, 1
Let l(v) = -v**3 + 3*v**2 + v - 1. Let j be l(3). Factor 0 - 2/5*q**3 + 0*q**j + 2/5*q.
-2*q*(q - 1)*(q + 1)/5
Let j(z) = 21*z**2 - 8*z - 2. Suppose 4*d - 2*d + 52 = -2*t, 29 = -t + 2*d. Let f(q) = 273*q**2 - 105*q - 27. Let y(i) = t*j(i) + 2*f(i). Factor y(h).
-3*h*(7*h - 2)
Let m(u) be the first derivative of -2*u**7/105 - u**6/15 + u**5/5 + 5*u**2/2 + 6. Let j(b) be the second derivative of m(b). Suppose j(t) = 0. Calculate t.
-3, 0, 1
Let h(m) be the second derivative of m**4/18 + 4*m**3/9 + m**2 + 7*m. Determine f so that h(f) = 0.
-3, -1
Let j(p) be the third derivative of 0 + 0*p + 0*p**3 - 1/420*p**8 - 1/525*p**7 + 1/150*p**5 - p**2 + 1/150*p**6 + 0*p**4. Suppose j(c) = 0. Calculate c.
-1, -1/2, 0, 1
Let d(l) be the first derivative of 4/27*l**3 + 3 - 1/54*l**4 - 3*l - 4/9*l**2. Let r(b) be the first derivative of d(b). Factor r(w).
-2*(w - 2)**2/9
Let h be 1/(-2) - (-7)/2. Suppose -h + 0 = -n. Factor -1 + 1/2*o**n + o**2 - 1/2*o.
(o - 1)*(o + 1)*(o + 2)/2
Suppose 18 = 5*m - 2. Let i be 9/((-27)/6) + 4. Factor k**3 - 7*k**3 - k**5 + k**4 + 3*k**m - k - k**i + 5*k**2.
-k*(k - 1)**4
Let o(b) = -3*b**2 - 21*b. Suppose 0 = 12*w - 11*w + 5. Let v(d) = -8*d**2 - 52*d. Let g(z) = w*v(z) + 12*o(z). Factor g(h).
4*h*(h + 2)
Let j be 3/(-12) - (-66)/8. Suppose g - j = -g. Factor x**g + 4*x**3 + 2*x**3 + 0*x**2 - 4*x**3 + x**2.
x**2*(x + 1)**2
Let k(s) be the first derivative of 0*s**2 + 1/14*s**4 - 3 + 0*s + 0*s**3. Let k(u) = 0. Calculate u.
0
Let b(w) be the third derivative of -1/15*w**5 + 0 + 0*w**3 + 0*w - 2*w**2 + 0*w**4 + 7/60*w**6. Determine i so that b(i) = 0.
0, 2/7
Let g(d) be the third derivative of -3*d**7/70 - d**6/10 + d**5/4 + d**4/4 + 5*d**2. Suppose g(a) = 0. What is a?
-2, -1/3, 0, 1
Let c(l) = 2*l**3 + 2*l**2 - 2*l - 4. Let m(t) = -2*t**3 - 2*t**2 + 2*t + 5. Let w(o) = -3*c(o) - 2*m(o). Solve w(y) = 0.
-1, 1
Let i(d) = -7*d**4 + 22*d**3 - 23*d**2 + 8. Let y(z) = 5*z**4 - 15*z**3 + 15*z**2 - 5. Let f(u) = 5*i(u) + 8*y(u). Suppose f(x) = 0. Calculate x.
0, 1
Factor -4*h**2 - 21*h**3 - 4*h**2 + 9*h**3.
-4*h**2*(3*h + 2)
Let n(p) be the first derivative of -p**7/945 - p**6/270 + p**4/54 + p**3/27 + 4*p**2 + 5. Let g(q) be the second derivative of n(q). Factor g(f).
-2*(f - 1)*(f + 1)**3/9
Let a(i) be the second derivative of i**4/12 + 2*i**3/3 - 9*i**2/2 + 5*i. Let p(o) = 5*o**2 + 15*o - 36. Let t(z) = 18*a(z) - 4*p(z). Factor t(c).
-2*(c - 3)**2
Suppose 5*j = 4*k - k + 22, j + 1 = 0. Let i be ((-9)/6)/(k/4). Factor -1/3*y**3 - 2/3*y**2 + i + 1/3*y.
-(y - 1)*(y + 1)*(y + 2)/3
Solve 2/3*c**2 + 2/3*c - 4/3 = 0 for c.
-2, 1
Let t = -28024/915 - 12/305. Let r = -30 - t. Factor 4/3*c + 2/3 + r*c**2.
2*(c + 1)**2/3
Suppose -10*d = -8*d - 6. Find q, given that 5*q**d + 2*q**4 - 4*q**3 + 3*q**3 - 2 + 0*q**3 - 4*q = 0.
-1, 1
Let m = 14 - 12. Suppose 5*c = 4*i - 9*i + 10, 2*i + 4*c - m = 0. Factor 4/5 + 2/5*t**i - 2/5*t - 4/5*t**2.
2*(t - 2)*(t - 1)*(t + 1)/5
Let g = -53 + 56. Let a(f) be the second derivative of 0 + 2/3*f**2 - 1/18*f**4 + 4*f + 1/9*f**g. Factor a(j).
-2*(j - 2)*(j + 1)/3
Let c(a) = a**2 - a - 1. Let u(g) = g**2 + g + 3. Let b be (2 + 26/(-8))*-4. Let z(d) = b*c(d) + u(d). Determine f, given that z(f) = 0.
-1/3, 1
Suppose -5*o + 3*m + 16 = m, -5*o + 4*m = -22. Suppose f - o = 0, 5*f - 2 = 2*g + 2*f. Factor 1/4*j**3 - 1/4*j**g + 0 + 0*j.
j**2*(j - 1)/4
Suppose 0*g + 0 + 1/3*g**3 - 2/3*g**4 + 0*g**2 + 1/3*g**5 = 0. What is g?
0, 1
Let c(x) = -4*x**3 - 10*x**2 - 6*x - 10. Let r(b) = -b**3 - 3*b**2 - 2*b - 3. Let m(h) = -3*c(h) + 10*r(h). Factor m(w).
2*w*(w - 1)*(w + 1)
Let o(n) = 8*n**5 - 13*n**3 - 5*n**2 - 5*n - 5. Let a(k) = 12*k**5 - 20*k**3 - 8*k**2 - 8*k - 8. Let s(d) = 5*a(d) - 8*o(d). Solve s(y) = 0.
-1, 0, 1
Factor 7*d - d**2 + 6*d**2 + 3*d.
5*d*(d + 2)
Let i be 7 + -5 - 2/(-2). Suppose 2*y + i = v + 5, 6 = 5*y - 3*v. Let y*f + 0 + 0*f**2 + 1/3*f**3 - 2/3*f**4 + 1/3*f**5 = 0. What is f?
0, 1
Suppose 3 = -2*m + 11. Determine s so that 3 + 2 - m*s - 2*s**2 - 3 + 4*s**2 = 0.
1
Let k(u) be the third derivative of -u**6/660 + u**5/330 + u**4/132 - u**3/33 - 3*u**2. Factor k(d).
-2*(d - 1)**2*(d + 1)/11
Factor -2/7*r - 12/7 + 2/7*r**2.
2*(r - 3)*(r + 2)/7
Let l be (-1 + (-10)/(-4))*2. Let p = -8 - -12. Solve 22*y**l - p*y + 60*y**4 - 24*y**2 - 50*y**5 - 3*y - y = 0.
-2/5, 0, 1
Let h be 2 - 0*(-3)/9. Determine k so that -6*k**2 + k**2 + 9*k - 9*k**3 + 0*k**2 + 7*k**4 - h = 0.
-1, 2/7, 1
Let h(a) = a**4 + 5*a**3 + 4*a**2 - 6. Let w(j) = 2*j**4 + 9*j**3 + 7*j**2 - 11. Let t(o) = -11*h(o) + 6*w(o). Factor t(y).
y**2*(y - 2)*(y + 1)
Suppose 3*m - 4 = -1. Let v(l) = 3*l**3 - 2*l + 1. Let f be v(m). Solve -2/3*d**f - 2/3 + 4/3*d = 0 for d.
1
Suppose 3*m + m - 9 = 3*u, -4*m - 3 = u. Let v(i) be the second derivative of -1/6*i**4 + 0*i**2 + m - 1/3*i**3 + 2*i. Factor v(d).
-2*d*(d + 1)
Let q(y) be the second derivative of y**7/56 - 12*y. Let q(a) = 0. Calculate a.
0
Let x = -6/17 - -41/68. Let b(w) = -w**2 + 5*w - 6. Let a be b(3). Suppose 1/4*f**5 + 0*f - 1/4*f**4 + x*f**2 - 1/4*f**3 + a = 0. Calculate f.
-1, 0, 1
Let m be -1 - ((3 - 1) + -7). Let p = 7 - m. Factor -1 - 15*g**p + 6 + 3 + 26*g**2 + 20*g**2 - 36*g.
-(g - 2)*(3*g - 2)*(5*g - 2)
Let a(k) be the second derivative of k**6/720 - k**5/360 - k**4/72 - 9*k**2/2 + 2*k. Let s(j) be the first derivative of a(j). Find d such that s(d) = 0.
-1, 0, 2
Let k = 2 - -4. Factor 5 - 3*x**4 - 8*x - k*x**2 + 4*x**3 + 3 + 0*x**4 + 5*x**4.
2*(x - 1)**2*(x + 2)**2
Let v be ((-6)/(-9))/(1/9). Suppose -n - 1 = -v. Let 0*y**2 - 2/3*y**4 + 0 - 2/9*y**3 + 0*y - 4/9*y**n = 0. Calculate y.
-1, -1/2, 0
Suppose 2*p + p = 33. Suppose 0 = -5*t + r + p, r + 8 - 27 = -5*t. Factor -1/4*b**2 - 1/4*b**t + 1/4*b + 1/4.
-(b - 1)*(b + 1)**2/4
Solve l**3 + 3/2*l**4 - 2 - 9/2*l**2 - 6*l = 0 for l.
-1, -2/3, 2
Suppose 0*z = -6*z + 18. Determine f, given that 0*f + 0 + 1/6*f**4 + 0*f**2 - 1/2*f**z = 0.
0, 3
Factor -4/13*y**2 + 2/13*y**5 - 8/13*y**4 + 10/13*y**3