*d**c - 2/3 - 1/3*d.
(d - 2)*(d + 1)/3
Let b be 140/165 + (-12)/66. Let m(u) be the first derivative of 2/9*u**3 - 4 - 2/3*u**2 + b*u. Factor m(a).
2*(a - 1)**2/3
Factor d**3 + 18*d - 9*d**3 - 3*d - 10*d**2 + 3*d**3.
-5*d*(d - 1)*(d + 3)
Let y(w) = w**2 + 13*w + 9. Let a(d) = d**2 + 12*d + 9. Let i(b) = -7*a(b) + 6*y(b). What is f in i(f) = 0?
-3
Suppose -4/3*j**2 + 10/3*j**3 + 2/15*j + 0 = 0. What is j?
0, 1/5
Let j(b) be the first derivative of -b**4/2 - 10*b**3/3 - 8*b**2 - 8*b + 6. Determine g so that j(g) = 0.
-2, -1
Let k(m) be the second derivative of m**7/21 + m**6/15 - m**5/10 - m**4/6 - 6*m. Find z, given that k(z) = 0.
-1, 0, 1
Let l(d) be the second derivative of d**4/36 + d**3/18 - d**2/3 + 21*d. Factor l(b).
(b - 1)*(b + 2)/3
Let y(d) be the second derivative of d**4/66 - d**3/11 - 10*d**2/11 + 4*d. Let y(a) = 0. What is a?
-2, 5
Let w be (-4)/(-26) - (-13)/1014. Let i(f) be the second derivative of -w*f**3 + 2*f + 0*f**4 + 1/20*f**5 + 0*f**2 + 0. Let i(m) = 0. What is m?
-1, 0, 1
Let 1/3*c**2 - c + 0 = 0. Calculate c.
0, 3
Let k(u) be the second derivative of -u**6/240 + u**5/40 - u**3/2 - 9*u. Let y(n) be the second derivative of k(n). Factor y(p).
-3*p*(p - 2)/2
Let i(j) be the third derivative of j**9/45360 + j**8/10080 + j**7/7560 + 5*j**4/24 - 4*j**2. Let a(g) be the second derivative of i(g). Factor a(p).
p**2*(p + 1)**2/3
Let w be (-24)/32*12/(-27). Let c(j) = j + 3. Let t be c(-3). Factor -1/3*o**5 + 0*o + t*o**4 + 0*o**2 + w*o**3 + 0.
-o**3*(o - 1)*(o + 1)/3
Let w(y) = -y**5 - 10*y**3 + 10*y**2 - 10*y + 6. Let f(z) = z**4 + z - 1. Let v(a) = 10*f(a) + 2*w(a). Factor v(o).
-2*(o - 1)**5
Let f(q) be the first derivative of -3*q**6/14 + 51*q**5/35 - 11*q**4/14 - 46*q**3/21 + 31*q**2/14 - 5*q/7 + 64. Determine u, given that f(u) = 0.
-1, 1/3, 1, 5
Let u be (-3)/(2*12/(-16)). Factor 29 + 0*x - 3*x**2 + u*x - 28.
-(x - 1)*(3*x + 1)
Let i(v) be the first derivative of v**6/2 - 6*v**5/5 - 9*v**4/4 + 8*v**3 - 6*v**2 - 2. Solve i(n) = 0.
-2, 0, 1, 2
Factor -1/6*r + 1/6*r**3 - 1/3 + 1/3*r**2.
(r - 1)*(r + 1)*(r + 2)/6
Let s be (-5 - -7) + 4 - 3. Let b(r) be the first derivative of 4 + 7/30*r**6 + 0*r + 12/25*r**5 - 2/15*r**s + 0*r**2 + 3/20*r**4. Factor b(p).
p**2*(p + 1)**2*(7*p - 2)/5
Let n(u) = -u**3 + 6*u**2 + 2*u. Let o(c) = -12*c**3 + 78*c**2 + 27*c. Let x(h) = 27*n(h) - 2*o(h). Factor x(g).
-3*g**2*(g - 2)
Let t = 154 + -285/2. Let z(y) be the first derivative of 0*y - y**6 - 28/5*y**5 - 32/3*y**3 - t*y**4 - 4*y**2 - 4. Determine i, given that z(i) = 0.
-2, -1, -2/3, 0
Let l(w) be the first derivative of -5*w**8/1344 - 3*w**7/224 - w**6/60 - w**5/120 - 2*w**3/3 + 3. Let h(o) be the third derivative of l(o). Factor h(t).
-t*(t + 1)*(5*t + 2)**2/4
Let g be (-94)/(-6) + 10/(-15). Suppose 0 = 3*k - 8*k + g. Factor 0 + 0*m + 1/4*m**5 - 1/4*m**2 - 1/4*m**k + 1/4*m**4.
m**2*(m - 1)*(m + 1)**2/4
Let u(g) be the first derivative of -g**5/5 + g**3 + g**2 + 5. Suppose u(d) = 0. Calculate d.
-1, 0, 2
Factor -12/5*y**3 - 3*y + 6/5 - 33/5*y**2.
-3*(y + 1)*(y + 2)*(4*y - 1)/5
Suppose 7*m = 3*m - r + 8, 1 = -m - r. Factor -6*p**2 - 9 + 9 + m*p**3 + 3*p.
3*p*(p - 1)**2
Let m(q) be the third derivative of q**5/450 + 16*q**2. Factor m(k).
2*k**2/15
Let a(r) = -12*r**2 - 120*r - 289. Let m(s) = -4*s**2 - 40*s - 96. Let d(q) = 4*a(q) - 11*m(q). Let d(t) = 0. What is t?
-5
Suppose 0 = -5*p - 19 + 24. Let j(v) be the first derivative of -p + 2/27*v**3 + 1/9*v**2 - 4/9*v. Factor j(w).
2*(w - 1)*(w + 2)/9
Determine l so that 177 - 4*l**2 + 36*l + 6*l**2 - 15 = 0.
-9
Factor 3*t**5 - 14*t**2 - 9 + 18*t**3 + 9 + 2*t**2 + 3*t - 12*t**4.
3*t*(t - 1)**4
Let g(i) = -i**5 - i**3 + i**2 - 1. Let x(n) = 20*n**5 + 4*n**4 - 22*n**3 - 14*n**2 + 14*n + 10. Let k(s) = -6*g(s) - x(s). Solve k(b) = 0.
-1, -2/7, 1
Let q(o) = -2*o**3 + 8*o**2 - 14*o + 12. Let r(a) = a**2. Let i(h) = -3*h**2 - h + 1. Let n(g) = -i(g) - 4*r(g). Let d(f) = 12*n(f) + q(f). Factor d(u).
-2*u*(u + 1)**2
Let k(c) = c**2 + 3*c - 2. Let z be k(3). Suppose -3*r**3 + 14*r - z*r + 5*r = 0. Calculate r.
-1, 0, 1
Let l = 5030/9 + -558. Suppose l + 2/9*y**2 - 8/9*y = 0. Calculate y.
2
Let x be ((-18)/8)/(-1) + 6/(-3). Solve 1/4*a**2 - x + 1/4*a**3 - 1/4*a = 0.
-1, 1
Determine m, given that 3/5 - 3/5*m**2 + 0*m = 0.
-1, 1
Find x, given that -7*x**5 - 7*x**4 - 11*x**4 - 2*x**5 - 11*x**3 - 2*x**2 = 0.
-1, -2/3, -1/3, 0
Let l = -23/210 + 1/7. Let w(z) be the second derivative of -1/15*z**3 + 1/50*z**5 + 4*z + 0*z**2 - 1/75*z**6 + 0 + l*z**4. Factor w(v).
-2*v*(v - 1)**2*(v + 1)/5
Suppose 4*t + 6 = -4*h - 2, 2*h = t + 2. Let h + 1/3*n + 7/6*n**2 + 5/6*n**3 = 0. What is n?
-1, -2/5, 0
Let d be 218/(-8) - (-3)/12. Let o be (d/8)/(21/(-14)). Solve 1/2 + o*u**2 + 7/4*u + 5/4*u**3 + 1/4*u**4 = 0.
-2, -1
Let h(k) = -5*k**3 - 5*k**2 + 10*k - 5. Let b(y) = -y**2 - y + 1. Let q(a) = -5*b(a) + h(a). Determine f, given that q(f) = 0.
-2, 1
Let y(n) be the first derivative of 2*n**3/3 + 4*n**2 + 10. Find q, given that y(q) = 0.
-4, 0
Let l(p) = -p**3 + p**2 - 6*p - 6. Let j = 3 + 10. Let q = -19 + j. Let k(c) = c**3 - c**2 + 7*c + 7. Let i(u) = q*k(u) - 7*l(u). Factor i(b).
b**2*(b - 1)
Suppose -9*f**2 + 23*f**3 + 3*f**5 + 18*f**3 - 19*f**4 - 8*f**3 = 0. Calculate f.
0, 1/3, 3
Let p(q) be the first derivative of -3*q**4/4 + 5*q**3/3 + q**2 - 6. Factor p(k).
-k*(k - 2)*(3*k + 1)
Let v(i) = 6*i**4 + 25*i**3 - 46*i**2 + 26*i. Let h(c) = -c**4 - 5*c**3 + 9*c**2 - 5*c. Let y(w) = -22*h(w) - 4*v(w). Factor y(z).
-2*z*(z - 3)*(z - 1)**2
Let x(d) = -5*d**2 - 185*d - 173. Let u(a) = -3*a**2 - 123*a - 115. Let j(q) = -7*u(q) + 5*x(q). Suppose j(t) = 0. What is t?
-15, -1
Let s(d) = 3*d**3 + 2*d**2 + 3*d - 4. Let m be (-1)/(((-9)/(-12))/3). Let y(j) = -j**4 + 7*j**3 + 3*j**2 + 5*j - 7. Let t(w) = m*y(w) + 7*s(w). Factor t(r).
r*(r - 1)**2*(4*r + 1)
Let z(s) be the second derivative of -3*s**5/100 - s**4/5 - s**3/2 - 3*s**2/5 + 18*s. Factor z(h).
-3*(h + 1)**2*(h + 2)/5
Let q(n) be the second derivative of -2/3*n**3 - 5*n - 1/10*n**6 + 1/2*n**2 + 0 + 1/5*n**5 + 1/6*n**4. Factor q(o).
-(o - 1)**2*(o + 1)*(3*o - 1)
Let q(o) be the second derivative of o**5/210 - o**4/126 - 5*o**3/63 - o**2/7 - 39*o. Determine l so that q(l) = 0.
-1, 3
Let s(o) = -o**4 + o**3 - o**2 - o - 1. Let x(y) = -y**4 + 6*y**3 - 7*y**2 - 6*y - 4. Let v(d) = -4*s(d) + x(d). Find r, given that v(r) = 0.
-1, -2/3, 0, 1
Suppose 5*q + 0*s + s = 19, -5*q = 4*s - 31. Factor -51*x**2 + 30*x**q + 6 - 8*x**3 - 5*x + 14*x**3 + 14*x.
3*(x - 1)*(3*x - 2)*(4*x + 1)
Suppose -h = 4*h - 10. Let n(b) be the first derivative of 4*b**h - 8*b**3 + 24/5*b**5 + 3 - 3*b**6 + 5/2*b**4 + 0*b. Find k such that n(k) = 0.
-1, 0, 2/3, 1
Let r = 5 - 3. Let l = -272 - -2456/9. Factor 8/9*o + 2/9*o**r + l.
2*(o + 2)**2/9
Let f(t) be the first derivative of -t**6/18 - t**5/15 + t**4/6 + 2*t**3/9 - t**2/6 - t/3 + 10. Determine z, given that f(z) = 0.
-1, 1
Let r be 4/10 - (-14)/(-35). Let d be r - 1 - 12/(-9). Factor -t**2 + 0 + 2/3*t**3 + d*t.
t*(t - 1)*(2*t - 1)/3
Let 0 + 40/3*x - 44*x**2 - 28/3*x**3 = 0. Calculate x.
-5, 0, 2/7
Let m(h) be the second derivative of -h**4/32 - 7*h**3/48 + 3*h**2/8 + 8*h. Factor m(o).
-(o + 3)*(3*o - 2)/8
Let k(x) be the first derivative of -x**7/210 + x**6/60 - x**4/12 - 2*x**3 + 2. Let j(y) be the third derivative of k(y). Suppose j(b) = 0. Calculate b.
-1/2, 1
Let c(s) be the first derivative of -4/35*s**5 + 1/7*s**2 + 1 + 0*s - 3/14*s**4 + 0*s**3. Find r such that c(r) = 0.
-1, 0, 1/2
Factor 2*b + b - b - b**4 + 2*b**2 - b**4 - 2*b**3.
-2*b*(b - 1)*(b + 1)**2
Suppose 0 = 2*x - 1 - 5. Solve 6*r**x + 3*r + 9*r**2 + r**3 + 5*r + 10*r**2 - 4 = 0.
-2, -1, 2/7
Let x = -1/99 - -265/99. Solve -2*s**2 - 2/3 - x*s = 0.
-1, -1/3
Find q such that -q**2 - 4/5*q - 1/5 - 2/5*q**3 = 0.
-1, -1/2
Let u(y) = 9*y**4 + 2*y**3 - 11*y**2 - 8*y. Let a(h) = -h**4 + h**2 + h. Let r(d) = -24*a(d) - 3*u(d). Factor r(f).
-3*f**2*(f - 1)*(f + 3)
Let i(u) be the third derivative of -u**5/15 - u**4/6 + 4*u**3/3 - 9*u**2. Determine l, given that i(l) = 0.
-2, 1
Let f(n) = -9*n**3 + 60*n**2 - 72*n + 16. Let g(l) = -8*l**3 + 60*l**2 - 72*l + 16. Let u(z) = -6*f(z) + 5*g(z). Factor u(x).
2*(x - 2)**2*(7*x - 2)
Let r(t) be the second derivative of t**6/45 - t**5/12 + t**4/9 - t**3/18 