*f**6 - 1/12*f**3 + 0*f + 1 + 1/16*f**4 + 0*f**c. Factor u(s).
-s**2*(s - 1)**2*(s + 1)/4
Let y be 3*-1*(1 + -2). Suppose 0 = g - 5*t - y, -g + 4*t = 3 - 6. Factor 3*d**g + d**4 + 2 - 3 + 2*d - 5*d**3.
(d - 1)**3*(d + 1)
Let o = 18 + -18. Let l(u) be the second derivative of 1/3*u**3 + 0*u**2 - 1/6*u**4 + 1/15*u**6 - 1/10*u**5 + o - 2*u. Let l(p) = 0. Calculate p.
-1, 0, 1
Let z(s) be the third derivative of 1/1344*s**8 + 0*s**3 + 0 + 1/160*s**6 - 1/280*s**7 + 4*s**2 + 0*s - 1/240*s**5 + 0*s**4. Factor z(b).
b**2*(b - 1)**3/4
Let q(x) be the second derivative of x**6/70 + 3*x**5/140 - x**4/28 - x**3/14 + 5*x. Factor q(z).
3*z*(z - 1)*(z + 1)**2/7
Let a be 7 + (-6)/2 + 2. Suppose -a*w - 3*w**3 + 6*w**3 - 4*w**3 + 4 + 3*w**3 = 0. What is w?
-2, 1
Suppose 3*f + f = 2*j - 94, 4 = f + 5*j. Let g = -21 - f. Factor 3*s**2 + 3/2*s**3 + g + 3/2*s.
3*s*(s + 1)**2/2
Let z = -3 + 4. Suppose t - z = 1. Factor 7*y + 22*y**3 - y**5 - 1 - 4*y**4 + 2*y**5 - 18*y**t - 9*y**4 + 2*y**5.
(y - 1)**4*(3*y - 1)
Let v(o) = -o**4 - 2*o**3 - 2*o**2 + 7*o - 2. Let l(g) = g**4 + g**3 + 3*g**2 - 7*g + 2. Let n(j) = -7*l(j) - 6*v(j). Factor n(a).
-(a - 2)*(a - 1)**3
Let d be 4 + -2 + 0 + -1. Let y(u) be the first derivative of -5*u**2 + 2*u + 8/3*u**3 - d. Suppose y(i) = 0. What is i?
1/4, 1
Let v be 15*3/3 + 2. Factor -21*o + 8*o**2 + 12*o**4 - 56*o**3 + 3 + 37*o**2 + v*o**3.
3*(o - 1)**3*(4*o - 1)
Let b(w) = 7*w**4 + 26*w**3 - 18*w**2 - 29*w + 8. Let i(u) = -28*u**4 - 104*u**3 + 73*u**2 + 117*u - 32. Let s(g) = 26*b(g) + 6*i(g). Let s(l) = 0. Calculate l.
-4, -1, 2/7, 1
Let a(d) be the second derivative of d**10/60480 - d**8/13440 - d**4/3 - 3*d. Let g(w) be the third derivative of a(w). Let g(i) = 0. What is i?
-1, 0, 1
Let n be (28/6272)/(1/2). Let a(q) be the third derivative of -1/70*q**7 + n*q**8 + 0 + 0*q + 2*q**2 + 0*q**3 - 1/40*q**6 + 1/20*q**5 + 0*q**4. Factor a(u).
3*u**2*(u - 1)**2*(u + 1)
Suppose 0 = 3*x + 2*m - 6, -2*x - m = m - 6. Factor 0*i - 1/4*i**3 + 0 + x*i**2 - 1/4*i**4.
-i**3*(i + 1)/4
Let p(l) = -l**2 + 6*l + 4. Let t be p(6). Suppose 4 + 8*s + 2*s**2 + 10*s - 6*s**t - 8*s - 10*s**3 = 0. What is s?
-1, -2/3, 1
Factor 0*m**4 + 0*m**2 + 2*m**4 - 6*m**2 + 4*m**2.
2*m**2*(m - 1)*(m + 1)
Let w(o) be the third derivative of o**6/720 + o**5/180 + o**4/144 - 12*o**2. Determine y, given that w(y) = 0.
-1, 0
Let f be (2/(-6)*1)/(-1). Find g such that 0 + 0*g - f*g**2 + 1/3*g**3 = 0.
0, 1
Let r(q) be the third derivative of -2*q**7/105 - q**6/5 - 4*q**5/5 - 5*q**4/3 - 2*q**3 - 41*q**2. Factor r(n).
-4*(n + 1)**3*(n + 3)
Let m(i) = 2*i**5 - 18*i**4 - 6*i**3 + 14*i**2 + 8*i. Let g(t) = -t**4 + t**2. Let d(r) = -44*g(r) + 2*m(r). Solve d(v) = 0 for v.
-2, 0, 1
Suppose 0*n - 3*n + 9 = 0. Determine m, given that -3*m**3 + 1 + 4*m**3 + n*m - 3 - 3*m**2 + 1 = 0.
1
Let s be 1/(((-396)/(-8))/9). Solve s*o**2 + 0*o - 2/11 = 0 for o.
-1, 1
Let -7/4*y**3 + 43/4*y**2 - 5/4*y**4 + 9/2 + 63/4*y = 0. What is y?
-3, -1, -2/5, 3
Let o(m) be the first derivative of m**3/5 + 3*m**2/5 + 3*m/5 - 1. Determine g so that o(g) = 0.
-1
Suppose 4*u - 3*o = 72, 0*u + 38 = 2*u - 2*o. Let c = 17 - u. Solve 2/5*l**c - 2/5 + 2/5*l**3 - 2/5*l = 0 for l.
-1, 1
Let w(u) be the third derivative of -u**9/15120 - u**8/5040 + u**7/1260 + u**6/180 - 2*u**5/15 - 6*u**2. Let f(m) be the third derivative of w(m). Factor f(k).
-4*(k - 1)*(k + 1)**2
Let a be 1/(-2) + 7/2. Factor 4*b**3 - 2*b**a + 9*b**2 + 0*b + 2*b + 5*b**3.
b*(b + 1)*(7*b + 2)
Let a(u) be the first derivative of -2*u**5/5 - 2*u**4/3 - 2*u**3/9 - 4. Factor a(p).
-2*p**2*(p + 1)*(3*p + 1)/3
Let y be (-1 - -2)*(3 + 0). Suppose -2*q + 4*x + 20 = 0, y*q + 4*x = -0*q - 20. Suppose q - 8*v + 2*v**2 + 6 + 2 = 0. Calculate v.
2
Suppose -4*z + 611 = 599. Factor -6/7*n + 0 - 3*n**2 - 9/7*n**z.
-3*n*(n + 2)*(3*n + 1)/7
Let d(s) be the first derivative of -3*s**4/4 - 3*s**3 - 9*s**2/2 - 3*s + 6. Find z such that d(z) = 0.
-1
Let -9*b**2 - 9*b - 2 - 7*b**3 + 4*b**3 - 1 = 0. Calculate b.
-1
Factor 0*x + 0 + 4/17*x**2 + 2/17*x**3.
2*x**2*(x + 2)/17
Suppose 25 = 4*c + c. Suppose c*t - 21 = -3*d, 3*t + 13 = 2*d + 6*t. Factor 0 - 4/9*b**d - 2/9*b - 2/9*b**3.
-2*b*(b + 1)**2/9
Let d = 117/5 + -70/3. Let v(a) be the third derivative of 1/10*a**5 - 4*a**2 + 1/63*a**7 + 0*a + 0 + d*a**6 + 1/18*a**4 + 0*a**3. Factor v(n).
2*n*(n + 1)**2*(5*n + 2)/3
Let a(y) be the second derivative of y**4/12 + y**3/3 - 3*y**2/2 + 12*y. Factor a(j).
(j - 1)*(j + 3)
Let w(y) = -2*y**5 + 4*y**4 - 12*y**3 + 8*y**2 - 4*y. Let f(c) = -c**4 - c**3 + c**2 - c. Let m = 2 + 0. Let u(s) = m*w(s) - 6*f(s). Factor u(d).
-2*d*(d - 1)**3*(2*d - 1)
Let k(v) be the second derivative of v**4/48 - v**3/6 + 9*v. Factor k(i).
i*(i - 4)/4
Let d(n) be the first derivative of -n**6/4 + 6*n**5/5 - 9*n**4/4 + 2*n**3 - 3*n**2/4 + 15. Factor d(t).
-3*t*(t - 1)**4/2
Let t(n) be the first derivative of -16/9*n - 1/2*n**4 - 9 - 28/9*n**2 + 68/27*n**3. Factor t(a).
-2*(a - 2)**2*(9*a + 2)/9
Let y(p) be the first derivative of p**6/15 + 4*p**5/25 - 4*p**3/15 - p**2/5 + 7. Solve y(g) = 0 for g.
-1, 0, 1
Suppose 2*w = 6*w + 16. Let n be ((-9)/(-12))/((-1)/w). Factor 6*k**2 - 2*k**n + 4*k**3 - 3*k**4 - 5*k**3.
-3*k**2*(k - 1)*(k + 2)
Let c = -9 - -11. Determine z so that z**2 - 5*z**2 + z + 2*z**c + 6*z**3 - 5*z = 0.
-2/3, 0, 1
Let k(u) = 3*u - 3. Let s be k(5). Suppose 0 = -z - 5, -4*a + 2*z = 6*z + s. Suppose 22/5*f**3 + 0 - 2/5*f - 4/5*f**a + 24/5*f**4 = 0. Calculate f.
-1, -1/4, 0, 1/3
Let s be -2*(1 - 3) + 80/(-24). Let -2/3*k**3 + 0*k + 0 + s*k**2 = 0. What is k?
0, 1
Let l(c) = 21*c - 1. Let x be l(2). Let s = x - 121/3. Suppose -s*u**3 - u**4 + 1/3 + u - 1/3*u**5 + 2/3*u**2 = 0. Calculate u.
-1, 1
Suppose 27/2*d**3 + 21/2*d**2 + 3*d + 3/2*d**5 + 0 + 15/2*d**4 = 0. Calculate d.
-2, -1, 0
Factor -7*g**2 - 5*g**2 + 8*g**4 + g + 216*g**3 + 7*g - 228*g**3.
4*g*(g - 2)*(g + 1)*(2*g - 1)
Let x(u) = u**2 + u**3 - 2*u**3 + 9 - 9. Let n(j) = j**4 - 2*j**3 + 6*j**2 - 3*j - 2. Let t(w) = n(w) - 5*x(w). Solve t(i) = 0.
-2, -1, 1
Let g(h) be the first derivative of -h**6/3 - 6*h**5/5 + 5*h**4/2 + 2*h**3 - 4*h**2 + 46. Determine x, given that g(x) = 0.
-4, -1, 0, 1
Suppose 2*h + 3*z = 6, -4*z + 8 = 36*h - 40*h. Factor 0 + 0*a - 1/3*a**2 + 1/3*a**4 + h*a**3.
a**2*(a - 1)*(a + 1)/3
Let a(i) be the second derivative of 3/20*i**5 + 3/4*i**4 + i**3 + 0 - 10*i + 0*i**2. Suppose a(f) = 0. What is f?
-2, -1, 0
Factor r**2 - 1/2*r**4 - 1/2*r**5 + r**3 - 1/2 - 1/2*r.
-(r - 1)**2*(r + 1)**3/2
Let o(i) = 25*i**3 + 60*i**2 + 39*i + 6. Let m(q) = -399*q**3 - 960*q**2 - 624*q - 96. Suppose -6 = -2*c + 5*c. Let y(n) = c*m(n) - 33*o(n). Factor y(a).
-3*(a + 1)**2*(9*a + 2)
Let k(y) = -304*y**2 - 480*y - 180. Let x(v) = 61*v**2 + 96*v + 36. Let h(n) = -3*k(n) - 16*x(n). Find j such that h(j) = 0.
-3/4
Let t(m) be the first derivative of -m**4/34 + 10*m**3/17 - 75*m**2/17 + 250*m/17 - 5. Suppose t(f) = 0. What is f?
5
Let s = -518/5 - -104. Factor -s*l + 0 - 2/5*l**2.
-2*l*(l + 1)/5
Suppose -b - 18 - 10 = 0. Let a be 12/14*b/(-18). Find y, given that 2/3 + 2/3*y**2 + a*y = 0.
-1
Factor -s**4 + 1/3*s**5 + 2/3*s**3 - s + 1/3 + 2/3*s**2.
(s - 1)**4*(s + 1)/3
Let k(f) be the first derivative of f**4/2 - 10*f**3/3 + 3*f**2 + 18*f - 17. Let k(m) = 0. Calculate m.
-1, 3
Let v(o) be the second derivative of 0*o**2 - 1/24*o**3 - 1/48*o**4 + 0 - 3*o. Solve v(k) = 0 for k.
-1, 0
Let m(k) be the second derivative of k**5/130 + 2*k**4/39 - k. Determine q, given that m(q) = 0.
-4, 0
Let i(v) be the second derivative of -v**6/195 - 2*v**5/65 + 16*v**3/39 + 16*v**2/13 - v. Solve i(w) = 0 for w.
-2, 2
Suppose 0 = 3*d - 7*d + 8. Solve -3*n**2 - 4*n**d + 5*n**2 + 2*n = 0.
0, 1
Solve 0 + 5/4*i**3 - 5/2*i**2 + 5/4*i = 0 for i.
0, 1
Let w(h) = -h**4 + h**3 + h**2 + h + 1. Let u(p) = 2*p**4 + p**3 - 2*p**2 - 3*p - 1. Let g(t) = 3*u(t) + 3*w(t). Factor g(r).
3*r*(r - 1)*(r + 1)*(r + 2)
Let w = -95 + 97. Let o(s) be the first derivative of -1/9*s**w - 4/9*s**3 + 1/9*s**6 - 22/45*s**5 + 7/9*s**4 + 2/9*s + 2. Find l, given that o(l) = 0.
-1/3, 1
Let y(a) be the second derivative of -a**5/210 + a**3/21 - 3*a**2/2 + 2*a. Let o(m) be the first derivative of y(m). Let o(d) = 0. What is d?
-1, 1
Let t be -1*4*-1 - -1. Let r be 12/t - (-2)/(-5). Factor 2*y**4 + r*y*