/7 + 10*f**4 + 136*f**3/21 + 16*f**2/7 + 9*f. Factor r(a).
4*(a + 1)*(5*a + 2)**3/7
Let r = -13 - -13. Suppose 1/4*h + r - 1/4*h**2 = 0. What is h?
0, 1
Let k be -2 + (-72)/27*(-3)/2. Factor 2/3*j**k - 2*j + 4/3.
2*(j - 2)*(j - 1)/3
Let h(d) be the third derivative of 1/30*d**6 + 0*d + 3/10*d**5 + 9/2*d**3 - d**2 + 3/2*d**4 + 1/630*d**7 + 0. Suppose h(t) = 0. Calculate t.
-3
Let u(n) = -4*n - 229. Let g be u(-58). Find w, given that 3/7 - 3/7*w**2 - 3/7*w**g + 3/7*w = 0.
-1, 1
Suppose 4/9*g - 14/3*g**3 + 0 - 50/9*g**4 - 2/3*g**2 - 2*g**5 = 0. What is g?
-1, 0, 2/9
Let y be (-5)/(-10) + (-3)/(-2). Solve -2*a**3 - 2*a**2 + 0*a**4 - a**2 + y*a**4 + 2*a**5 + a**2 = 0 for a.
-1, 0, 1
Factor -4*g**3 - 2*g**2 + 9*g + 9*g**2 + g**3 + 5*g**2 - 54.
-3*(g - 3)**2*(g + 2)
Let a be (0/4)/(2*(-3)/3). Let b(r) be the third derivative of -1/54*r**5 + r**2 + 2/27*r**3 + a + 0*r - 1/36*r**4. Solve b(m) = 0.
-1, 2/5
What is g in 9*g**2 - 46*g - 5*g - 3*g - 3*g**4 + 15*g**3 + 30 + 3*g = 0?
-2, 1, 5
Let p(l) = -l**2 + l - 1. Let b(y) = y**3 + y**2 + 11*y - 2. Let t(c) = -b(c) + 5*p(c). Let j be t(-5). Factor -2/11 - 6/11*v - 2/11*v**3 - 6/11*v**j.
-2*(v + 1)**3/11
Let f(u) be the second derivative of u**7/525 + u**6/100 - u**2/2 - u. Let h(r) be the first derivative of f(r). Suppose h(z) = 0. Calculate z.
-3, 0
Let t = -2/7 + 6/7. Factor 0*j + 2/7*j**4 + 2/7*j**2 + 0 + t*j**3.
2*j**2*(j + 1)**2/7
Let j(z) = -2*z + 1. Let y be j(-1). Suppose 6 = u + 2*i, -2*i + 7*i - 15 = y*u. Suppose -2 - 2*v + 3 + 0 + u*v**2 + v**2 = 0. What is v?
1
Let r(q) = q**2 + 1. Let s(c) = -4*c**3 - c**2 + 1. Let i be s(-1). Let o(m) = 2*m**3 + 2*m**2 + 4. Let n(g) = i*r(g) - o(g). Let n(u) = 0. What is u?
0, 1
Let p(a) = a**2 + a - 1. Let o(i) = -i**2 + i - 3. Let n(f) = -o(f) - 3*p(f). Factor n(j).
-2*(j - 1)*(j + 3)
Factor 8*t - 10*t + 5*t**2 + t**3 + 0*t**3 + 6*t.
t*(t + 1)*(t + 4)
Let r = -10 - -10. Let u(w) be the second derivative of 0*w**2 + 1/6*w**3 - 1/6*w**4 - 2*w + 1/20*w**5 + r. Factor u(o).
o*(o - 1)**2
Let w(k) be the first derivative of 3 - 2/15*k**5 + 0*k + 0*k**3 - 1/18*k**4 + 0*k**2 + 4/27*k**6. Find o such that w(o) = 0.
-1/4, 0, 1
Let n be (-58)/(-12) - 1/(-6). Let c(x) be the second derivative of 0 + x**2 + 1/3*x**3 - 1/60*x**6 - 3*x - 1/10*x**n - 1/8*x**4. Factor c(k).
-(k - 1)*(k + 1)*(k + 2)**2/2
Let p be 2/9 + 32/18. Suppose -4*r + 2*a = -8, 0*a + 3*a = p*r - 4. Let 2*f - f + 2*f**r - f**2 = 0. What is f?
-1, 0
Let n be 30/(-120) - (-18)/8. Factor 3/8*u**3 + 7/8*u - u**n - 1/4.
(u - 1)**2*(3*u - 2)/8
Suppose 4*j - 5 = 15. Let 28*q**j - 798*q**4 + 119*q**5 - 528*q + 1272*q**3 - 240*q**2 - 61 - 68 + 33 = 0. What is q?
-2/7, 2
Let o = -56/3 + 19. Let t(u) be the first derivative of 0*u - 1/5*u**5 + o*u**3 + 1/6*u**2 + 1 - 1/12*u**4. Factor t(k).
-k*(k - 1)*(k + 1)*(3*k + 1)/3
Let g(p) be the first derivative of 1/2*p + 1/3*p**3 + 5/8*p**2 - 2 + 1/16*p**4. Factor g(m).
(m + 1)**2*(m + 2)/4
Let b(z) be the first derivative of -z**5/10 - z**4/6 + 2*z**3/3 + 4*z - 1. Let p(n) be the first derivative of b(n). Determine k so that p(k) = 0.
-2, 0, 1
Factor -13/6*b**2 - 1/6*b**4 - 2/3 + 2*b + b**3.
-(b - 2)**2*(b - 1)**2/6
Solve -8/7*w**3 + 8/7 + 8/7*w - 2/7*w**4 - 6/7*w**2 = 0 for w.
-2, -1, 1
Let i(w) be the second derivative of 3*w**5/20 - 3*w**3/2 + 3*w**2 - 5*w. Determine n so that i(n) = 0.
-2, 1
Suppose 1/2*w**2 + 0*w + 0 + 1/2*w**3 = 0. What is w?
-1, 0
Let n(s) be the third derivative of -s**8/6720 - s**7/1680 + 7*s**5/60 + 7*s**2. Let a(w) be the third derivative of n(w). Factor a(p).
-3*p*(p + 1)
Let f(w) be the first derivative of 5 - 57/4*w**4 + 21/5*w**5 + 6*w**2 + 0*w + 8*w**3. Factor f(u).
3*u*(u - 2)*(u - 1)*(7*u + 2)
Let f(b) = -b - 4. Let r be 4/(-6) - 40/12. Let j be f(r). Factor j + 0*s + 0*s**2 + 1/4*s**5 + 0*s**4 - 1/4*s**3.
s**3*(s - 1)*(s + 1)/4
Let y(g) be the first derivative of -g**6/60 - g**5/15 - g**4/12 - 2*g**2 + 1. Let h(v) be the second derivative of y(v). Determine w so that h(w) = 0.
-1, 0
Let c(x) be the second derivative of 3*x + 1/12*x**3 + 1/48*x**4 + 0*x**2 + 0. Factor c(t).
t*(t + 2)/4
Factor -5/2*g**2 - 245/2 - 35*g.
-5*(g + 7)**2/2
Suppose -2*n - 20 = -6*n. Suppose -n*j + 0 + 15 = 0. Factor -d - 2*d**3 + 5*d**3 + d**3 - 3*d**j.
d*(d - 1)*(d + 1)
Let w(x) be the third derivative of -x**5/60 - 5*x**4/24 - 2*x**2. Let a be w(-4). Factor -s**4 + a*s**4 - 3*s**2 + 3*s - 2*s + 3*s**3 - 4*s**4.
-s*(s - 1)**3
Let j be (-2)/(-20) - 44/(-110). Let m(h) be the first derivative of -h**2 + 0*h - 2 + 0*h**3 + j*h**4. Suppose m(g) = 0. What is g?
-1, 0, 1
Suppose -3*z + 3 = -3*h, 2*z + h = 4*z - 3. Determine f, given that 4*f - f - 5*f + f**2 - 2*f**z = 0.
-2, 0
Let z(f) be the second derivative of 0 - 1/30*f**5 - 1/2*f**2 + 1/42*f**4 + 1/84*f**6 + f + 0*f**3. Let p(l) be the first derivative of z(l). Factor p(v).
2*v*(v - 1)*(5*v - 2)/7
Let a = 5 + -3. Suppose -a*p + o = p - 5, 4*p - 24 = -3*o. Factor m**5 - m**4 + m**5 - 3*m**5 + m**p + m**2.
-m**2*(m - 1)*(m + 1)**2
Let o be (12/10)/(4/10). Let i = o - 1. Find r such that r - 5*r**4 + r**3 + 4*r**2 - i*r + r**4 = 0.
-1, 0, 1/4, 1
Let s(i) = -i + i**2 - 4*i**3 - 1 - 12*i**4 + 5 - 3*i + 3*i**2. Let l(c) = -c**5 - c**4 - c**3 - c**2 + 1. Let q(o) = -4*l(o) + s(o). Factor q(y).
4*y*(y - 1)**3*(y + 1)
Suppose -2 + r**4 + r + 0*r**3 + 4*r + 7*r**2 - 10*r**2 - r**3 = 0. Calculate r.
-2, 1
Determine s, given that -40*s - 2*s**3 + 11 + 1 + 54*s = 0.
-2, -1, 3
Let x(r) = 2*r**4 + 6*r**3 + 6*r**2 + 5*r - 3. Let a(t) = -2*t**4 - 6*t**2 - 5*t - 6*t**3 + 3 + t - 1. Let w(p) = -3*a(p) - 2*x(p). Factor w(u).
2*u*(u + 1)**3
Let r(p) = p - 4. Let v be r(7). Suppose 3*o - 9 + v = 0. Solve 0 + 1/2*s**o - s = 0.
0, 2
Suppose 29 = 3*z - 16. Let o = 46/3 - z. Suppose 2/3*x**4 - 2/3*x**2 + 0*x**3 + 0 - 1/3*x + o*x**5 = 0. Calculate x.
-1, 0, 1
Factor -5/3*d + 10/3*d**3 + d**5 + 2/3 - 10/3*d**4 + 0*d**2.
(d - 1)**4*(3*d + 2)/3
Let l(w) be the first derivative of w**6/180 + w**5/60 - w**3/18 - w**2/12 + 3*w + 4. Let a(b) be the first derivative of l(b). Factor a(i).
(i - 1)*(i + 1)**3/6
Suppose -1/6*k**5 + 1/2*k**3 + 1/6*k**2 - 1/6*k**4 - 1/3*k + 0 = 0. Calculate k.
-2, -1, 0, 1
Let x(n) be the second derivative of -6*n + 0 + 0*n**3 + 0*n**2 + 1/28*n**7 + 1/20*n**6 + 0*n**4 + 0*n**5. Factor x(k).
3*k**4*(k + 1)/2
Let r(o) = 3*o - 13. Let q be r(7). Suppose q = 7*m - 13. Factor -125/4*h**m + 2 - 15*h + 75/2*h**2.
-(5*h - 2)**3/4
Let s = -54 + 217/4. Factor -1/4*c + s*c**3 - 1/4 + 1/4*c**2.
(c - 1)*(c + 1)**2/4
Let h(x) = x**3 + 5*x**2 + 5. Let b be h(-5). Let y = -1 + b. Solve 14*m**4 + 0*m**3 + 2 - 6*m**3 - 6*m**y - 10*m**2 + 6*m = 0.
-1, -1/4, 1
Let t be -2 - 78/(-28) - (-4)/(-14). Suppose n**3 + 0 + t*n + 1/4*n**4 + 5/4*n**2 = 0. What is n?
-2, -1, 0
Determine u so that 8*u**4 - 12*u**5 - 7*u**4 + 11*u**5 = 0.
0, 1
Let n(z) be the second derivative of 0*z**2 - 3/10*z**5 + 4/3*z**3 + 0 + 0*z**4 + 3*z - 1/15*z**6. Suppose n(i) = 0. Calculate i.
-2, 0, 1
Let l(d) be the third derivative of d**8/5040 - d**5/15 - 5*d**2. Let o(t) be the third derivative of l(t). Find i such that o(i) = 0.
0
Let u(i) be the first derivative of 3 - 4/7*i - 1/14*i**4 - 6/35*i**5 + 1/7*i**2 + 10/21*i**3. Determine n so that u(n) = 0.
-1, 2/3, 1
Let g(b) be the first derivative of 3*b**5/35 + 3*b**4/28 - b**3/7 - 3*b**2/14 + 6. Factor g(w).
3*w*(w - 1)*(w + 1)**2/7
Let k(d) = 8*d**4 + 13*d**3 - d**2 - 3*d. Let z(r) = 24*r**4 + 38*r**3 - 2*r**2 - 8*r. Let w(s) = 8*k(s) - 3*z(s). Factor w(m).
-2*m**2*(m + 1)*(4*m + 1)
Factor u**2 - 16 + 4*u**3 + 8*u**2 + 3*u**2.
4*(u - 1)*(u + 2)**2
Let u(a) be the first derivative of a**6/480 - a**5/240 - a**4/96 + a**3/24 + a**2/2 + 1. Let j(c) be the second derivative of u(c). Factor j(v).
(v - 1)**2*(v + 1)/4
Suppose -38*d = -40*d + 4. Solve -1/5*z + 1/5 - 1/5*z**d + 1/5*z**3 = 0 for z.
-1, 1
Let h(y) be the third derivative of -1/8*y**4 - 1/35*y**7 + 7*y**2 + 0 + 0*y + 0*y**6 + 0*y**3 + 1/10*y**5 + 1/112*y**8. Factor h(s).
3*s*(s - 1)**3*(s + 1)
Let 0 - 2/7*q + 1/7*q**5 + 1/7*q**3 + 3/7*q**4 - 3/7*q**2 = 0. What is q?
-2, -1, 0, 1
Find g such that -204*g**5 - 21*g + 306*g**4 + 192*g**2 - 43*g + 240*g**5 + 384*g**3 - 98*g**4 = 0.
-2, 0, 2/9
Factor 4/3*p**2 + 0 + 1/3*p**3 + 0*p.
p**2*(p + 4)/3
Let t be 