*(q + 1)**4*(q + 3)/5
Suppose -14 = -3*u - r - 0*r, -3*r + 26 = 5*u. Factor -3*w**2 + 3*w**5 + 3*w**3 + 10*w - 10*w - 6*w**5 + 3*w**u.
-3*w**2*(w - 1)**2*(w + 1)
Let j(u) = u**2 - 4*u - 6. Let v(p) = -2*p**2 + 7*p + 11. Let w(o) = 11*j(o) + 6*v(o). Solve w(c) = 0.
-2, 0
Suppose 7*j = 12*j - 10*j. Factor -5/2*t**3 + 0*t + j + t**2 - 7/2*t**4.
-t**2*(t + 1)*(7*t - 2)/2
Let n(q) be the first derivative of -2*q**5/95 - q**4/38 + 2*q**3/57 + q**2/19 + 9. Factor n(h).
-2*h*(h - 1)*(h + 1)**2/19
Factor 0 + 1/6*b + 1/6*b**3 + 1/3*b**2.
b*(b + 1)**2/6
Let g be 8/100*20/6. Let w(t) be the first derivative of -3/10*t**4 + 3/5*t**2 - g*t**3 + 4/5*t + 2. Factor w(n).
-2*(n - 1)*(n + 1)*(3*n + 2)/5
Solve 289*t + 2205*t**2 + 54 + 167*t + 130*t + 3773*t**3 + 2401*t**4 - 19*t = 0.
-3/7, -2/7
Let c(p) = -3*p**2 - 8*p - 5. Let k(o) = 14*o**2 + 39*o + 25. Let b(n) = -11*c(n) - 2*k(n). Factor b(z).
5*(z + 1)**2
Let s = -5 + 7. Suppose 3*k - 21 = 5*v - 0, v = -4*k + 5. Factor -s*g + k*g - g**3 + g.
-g*(g - 1)*(g + 1)
Let z(p) = p**2 - 5*p + 6. Let j be z(3). Let d be ((-1)/(-3) + j)/1. Factor -f**2 + d*f**3 + f - 1/3.
(f - 1)**3/3
Let a(y) be the first derivative of -3*y**5/5 + 9*y**4/4 - 3*y**3 + 3*y**2/2 + 7. Factor a(i).
-3*i*(i - 1)**3
Suppose 4*y = 5*g - 18, 0*g + 5*y + 2 = -4*g. Let q(m) be the first derivative of -2 + 0*m + 0*m**4 - 1/20*m**5 + 0*m**g + 0*m**3. Solve q(c) = 0 for c.
0
Let u(i) = -i + 16. Let l be u(5). Solve -8*j**3 + 6*j**4 - l*j**3 + 2*j**2 + 25*j**3 + 2*j**5 = 0.
-1, 0
Let i be (-4)/2 + (9 - -3). Suppose i = d + 4*d. Suppose 0*r**5 - d*r**5 - 3*r**4 + 5*r**4 = 0. Calculate r.
0, 1
Factor -1/2*v**5 - v**4 + 0*v - 1/2*v**3 + 0 + 0*v**2.
-v**3*(v + 1)**2/2
Let j(c) be the second derivative of 3*c + 2/9*c**2 + 0*c**3 + 1/36*c**5 - 5/36*c**4 + 0 + 1/18*c**6 - 1/42*c**7. Factor j(o).
-(o - 1)**3*(3*o + 2)**2/9
Factor -1/7 - 1/7*k**3 + 1/7*k + 1/7*k**2.
-(k - 1)**2*(k + 1)/7
Let z be (2/(-1))/4*-6. Factor 0*l**3 - 9*l**2 + 2*l + 0*l + z*l**3 + 0*l + 4*l**4.
l*(l - 1)*(l + 2)*(4*l - 1)
Let g(x) be the third derivative of x**6/540 + 5*x**3/6 + 8*x**2. Let z(a) be the first derivative of g(a). Let z(l) = 0. What is l?
0
Let d(f) be the third derivative of f**6/60 + 2*f**5/15 + 5*f**4/12 + 2*f**3/3 - 7*f**2. Let d(c) = 0. Calculate c.
-2, -1
Suppose 0 = -5*o - 2*i + 10, -16 = o + 2*i + 2*i. Let m(p) be the first derivative of 3 + 0*p + 7/9*p**3 - 16/15*p**5 + 2/3*p**o + 1/6*p**2. Factor m(y).
-y*(y - 1)*(4*y + 1)**2/3
Let l(p) be the third derivative of -p**9/22680 - p**8/10080 + p**7/1890 + 5*p**4/24 + 2*p**2. Let u(z) be the second derivative of l(z). Solve u(g) = 0.
-2, 0, 1
Suppose 0 = 4*m - 0*m - 84. Suppose 2*z + 7 - m = -2*k, -k - 5*z + 19 = 0. Factor -v**k - v**2 - v**3 + 0*v + 2*v**2 + v.
-v*(v - 1)*(v + 1)**2
Let q(v) = v**2 + v. Let p be (1/2)/((-5)/(-30)). Let j be (-6)/10 + 4/(-10). Let o(x) = x**2 + 3*x. Let h(g) = j*o(g) + p*q(g). What is f in h(f) = 0?
0
Let z = -24 - -24. Let q = -2 + 4. Let -1/4*t**4 + 1/4*t**q + 1/2*t + 3/4*t**5 - 5/4*t**3 + z = 0. Calculate t.
-1, -2/3, 0, 1
Determine q so that -q + q**2 - 3*q**3 - 11*q + 0*q**3 + 11*q**2 = 0.
0, 2
Let o(c) be the second derivative of c**5/5 - c**4/3 - 8*c. Factor o(g).
4*g**2*(g - 1)
Let z = -718 + 718. Factor 9/2*l**2 - 3/2*l + z + 0*l**3 - 6*l**4.
-3*l*(l + 1)*(2*l - 1)**2/2
Let p = -2/407 - -431/4884. Let u(a) be the first derivative of 1/24*a**6 + 1 + 0*a + 0*a**2 - 3/20*a**5 + 3/16*a**4 - p*a**3. Factor u(h).
h**2*(h - 1)**3/4
Let n(c) be the third derivative of -c**6/360 + 3*c**2. Let n(g) = 0. Calculate g.
0
Let d(q) = -7*q**2 + 3*q - 4. Let p(u) = u**2 + 1. Let h(a) = -d(a) - 4*p(a). Let h(s) = 0. What is s?
0, 1
Let m be (-5 - -6)/(2/4). Let z(h) be the second derivative of 0*h**3 + 0*h**m - 1/48*h**4 - 1/80*h**5 + 2*h + 0. Factor z(a).
-a**2*(a + 1)/4
Factor 329*z**3 - 36*z**2 + 7 + 9 + 48*z - 357*z**3.
-4*(z - 1)*(z + 2)*(7*z + 2)
Let j(x) be the first derivative of -5 - 2/3*x**3 - 1/2*x**2 + x. Factor j(d).
-(d + 1)*(2*d - 1)
Let y(f) be the second derivative of f**7/21 - f**6/5 + 2*f**4/3 - 8*f. Factor y(t).
2*t**2*(t - 2)**2*(t + 1)
Suppose -5*i - 11*r + 6*r + 25 = 0, 0 = -3*i + 2*r. Let h = -10/39 + 12/13. Suppose 0 + 0*w - h*w**i = 0. Calculate w.
0
Suppose 0 = 32*s - 41*s. Let s*f + 0 - 2/11*f**2 + 2/11*f**3 = 0. Calculate f.
0, 1
Let n = -46 - -185/4. Factor 1/2*k**4 - 1/4*k + 0 + 0*k**3 + n*k**5 - 1/2*k**2.
k*(k - 1)*(k + 1)**3/4
Let p(y) be the third derivative of 1/1176*y**8 + 0*y**5 - 4*y**2 + 0 + 0*y**4 + 0*y + 1/420*y**6 - 2/735*y**7 + 0*y**3. Factor p(r).
2*r**3*(r - 1)**2/7
Let n(k) be the second derivative of -k**5/90 + k**3/9 - 2*k**2 - 7*k. Let q(g) be the first derivative of n(g). Factor q(c).
-2*(c - 1)*(c + 1)/3
Let a(f) be the third derivative of f**7/8820 + f**6/2520 - f**5/210 - 5*f**4/24 - 5*f**2. Let r(b) be the second derivative of a(b). Factor r(x).
2*(x - 1)*(x + 2)/7
Factor 0*z**3 + 4*z - 8*z**2 - 6*z**3 + 2*z**3 - z**3.
-z*(z + 2)*(5*z - 2)
Suppose 3 = -q + 16. Let z = -35/3 + q. Factor 0*l + 2/3*l**3 + 2/3*l**5 + 0 + 0*l**2 + z*l**4.
2*l**3*(l + 1)**2/3
Suppose -13*w + 31*w - 8*w + 15*w**2 = 0. What is w?
-2/3, 0
Let t be 152/32 + (-2)/(-8) + -1. Let w(q) be the third derivative of -7/24*q**t - 1/12*q**5 + 0*q - 1/3*q**3 + 0 + 3*q**2. Factor w(v).
-(v + 1)*(5*v + 2)
Let c be 2/(-18)*(0 - (3 - 1)). Factor -c*i + 0 - 4/3*i**3 + 8/9*i**4 - 2/9*i**5 + 8/9*i**2.
-2*i*(i - 1)**4/9
Let v(y) = 9*y**3 + 9*y**2 + 15*y - 3. Let o(m) = -m**3 - m + 1. Suppose -3*s - 2*s = -j - 2, 0 = -s - 5*j + 16. Let k(a) = s*v(a) + 6*o(a). Factor k(t).
3*(t + 1)**3
Let x(m) be the first derivative of -m**3/15 + m**2/10 + 2*m/5 - 8. Factor x(b).
-(b - 2)*(b + 1)/5
Let t(z) be the first derivative of 0*z + 3/25*z**5 + 0*z**2 + 7 + 9/20*z**4 + 0*z**3. Solve t(q) = 0 for q.
-3, 0
Let m(w) = -w**3 + 4*w**2 + w - 3. Let t be 2/(-4)*(-6 - 2). Let v be m(t). Let v + 2*a + a**2 - 2*a - 2 = 0. Calculate a.
-1, 1
Let c be (8 + -7)/(1/4). Let -5*f - f - 28*f**4 + 6*f**3 - c + 0*f + 32*f**2 = 0. What is f?
-1, -2/7, 1/2, 1
Let t(k) be the second derivative of k**4/30 - 4*k**3/15 + 3*k**2/5 + k. Factor t(u).
2*(u - 3)*(u - 1)/5
Let d(p) = -3*p**3 - 3*p**2 - p + 1. Let z(f) = 13*f**3 + 12*f**2 + 3*f - 5. Let c(b) = 9*d(b) + 2*z(b). Factor c(q).
-(q + 1)**3
Let a(d) be the first derivative of 2/9*d**3 + 1/9*d**2 + 1 + 0*d + 1/6*d**4 + 2/45*d**5. Factor a(k).
2*k*(k + 1)**3/9
What is o in -1/7*o - 2/7 + 1/7*o**2 = 0?
-1, 2
Let w(i) be the second derivative of 0 + 0*i**3 + 7/120*i**5 - 1/72*i**4 - 2/45*i**6 + 0*i**2 - 2*i - 4/63*i**7. Factor w(o).
-o**2*(o + 1)*(4*o - 1)**2/6
Let o = -55/7 + 296/35. Let f(w) = -w**2 - 5*w - 4. Let b be f(-3). Factor 6/5*i - o + 9/5*i**b.
3*(i + 1)*(3*i - 1)/5
Let 1/4*q**3 + 1/4 - 1/4*q - 1/4*q**2 = 0. What is q?
-1, 1
Let m be (-6)/(-12) - (-22)/4. Factor -4*d - d - 2*d**3 + d - m*d**2 + 0*d**3.
-2*d*(d + 1)*(d + 2)
Let d(m) = 2*m**3 - 3*m**2 + m - 1. Let v be d(2). Suppose 4*u + v - 13 = 0. Suppose -4*o**u - 2*o + 1 - o + 0*o = 0. Calculate o.
-1, 1/4
Let z(n) be the second derivative of -9*n**5/80 - 9*n**4/16 - 5*n**3/6 - n**2/2 - 7*n. Factor z(a).
-(a + 2)*(3*a + 1)*(3*a + 2)/4
Suppose 0 = -2*d + 4*d + 3*y - 19, 3*d = 2*y - 4. Let x = 14 - d. Factor 3*r - 8 - 6*r**2 - 3*r + r**3 + x*r.
(r - 2)**3
Let v(a) be the second derivative of a**6/120 - a**5/80 + 10*a. Find s, given that v(s) = 0.
0, 1
Let h(z) be the third derivative of -z**9/20160 - z**8/2240 - z**7/560 - z**6/240 - 2*z**5/15 + 3*z**2. Let l(i) be the third derivative of h(i). Factor l(x).
-3*(x + 1)**3
Let y(a) = a**2 + 7*a + 9. Let h be y(-6). Let u be (h/(-4))/(2/(-8)). Factor -4*t**4 - 2 + 8*t - 12*t**2 + 2*t**4 - u*t**3 + 11*t**3.
-2*(t - 1)**4
Solve -3*l**2 + 3/4*l**3 + l**4 - 17/4*l - 3/2 = 0 for l.
-1, -3/4, 2
Let f(n) be the first derivative of n**6/900 + n**5/75 + n**4/15 + n**3/3 - 2. Let t(u) be the third derivative of f(u). Factor t(q).
2*(q + 2)**2/5
Let h(p) be the first derivative of 4*p + 2/3*p**3 + 3*p**2 - 2. Factor h(v).
2*(v + 1)*(v + 2)
Factor -q + 3/2 + 1/6*q**2.
(q - 3)**2/6
Find t, given that 22*t**2 - 3*t - 13*t**2 - 12*t**2 = 0.
-1, 0
Let q(z) = 4*z**3 - 11*z**2 - 19*z + 29. Let v(s) = -12*s**3 + 32*s**2 + 56*s - 88. Let c(t) = 8*q(t) + 3*v(t). Find w su