 Let f(m) = -6*m**3 - 18*m**2 - 27*m - 6. Let c(a) = -5*f(a) - 9*y(a). Suppose c(b) = 0. Calculate b.
-1
Let u(z) = -5*z**3 - z**2 - 2*z - 1. Let m be u(-1). Suppose m*o + 8 = 18. Factor -4*f - 3*f**o - 3*f**2 - 8*f**2.
-2*f*(7*f + 2)
Find q, given that 3/2*q**2 - 9/2*q + 0 = 0.
0, 3
Suppose 0 = -5*g - s - 11, -s + 1 = -g - 0*g. Let h = g - -4. Factor 2 + y**h - 4*y + 2*y - 1.
(y - 1)**2
Suppose -2*v + 6*v = -4*m - 4, -1 = -m. Let p(c) = 4*c**3 - c - 3. Let g(k) = -5 + 4 + 4*k**3 - 3*k**3. Let f(b) = v*p(b) + 6*g(b). Find x such that f(x) = 0.
-1, 0, 1
Suppose 1 + 1 + 0 + 4*u**2 + 5*u + u**3 = 0. Calculate u.
-2, -1
Let x(y) be the first derivative of -y**5/270 + y**4/54 - y**3/27 - 3*y**2/2 - 3. Let p(k) be the second derivative of x(k). Factor p(r).
-2*(r - 1)**2/9
Let k(y) be the first derivative of 5*y**3/3 - 10*y**2 - 60*y + 35. Factor k(t).
5*(t - 6)*(t + 2)
Let f(v) be the third derivative of -3*v**8/448 - v**7/40 - v**6/80 + 3*v**5/40 + 5*v**4/32 + v**3/8 - 36*v**2. Determine z so that f(z) = 0.
-1, -1/3, 1
Suppose 16 = 5*x - x. Let z(y) be the first derivative of -1/14*y**x + 2/21*y**3 + 1 + 0*y + 0*y**2. Solve z(k) = 0.
0, 1
Let l(x) = -6*x**4 + 24*x**3 - 48*x**2 + 39*x. Let n(i) = 7*i**4 - 25*i**3 + 48*i**2 - 40*i. Let g(d) = 4*l(d) + 3*n(d). Factor g(b).
-3*b*(b - 3)*(b - 2)**2
Let r(n) = -n**2 - 4*n - 2. Let d be r(-2). Factor -3/5*y**d + 3/5*y + 0.
-3*y*(y - 1)/5
Factor 0*b + 0 - 1/2*b**2 - 3/2*b**4 + 3/2*b**3 + 1/2*b**5.
b**2*(b - 1)**3/2
Factor -1/4*x**2 - 1/4 + 1/2*x.
-(x - 1)**2/4
Suppose -206*s + 226*s = 80. Determine y, given that 1/2*y**s + 0 - 5/2*y**3 + 3/2*y**5 - 1/2*y**2 + y = 0.
-1, 0, 2/3, 1
Suppose 5*w - 12 = w. Let d be (w/9)/((-1)/(-6)). Determine i so that 0 - 1/2*i**5 + 0*i**d + 0*i**3 - 1/2*i**4 + 0*i = 0.
-1, 0
Let b(r) be the first derivative of 5*r**4/4 - 5*r**3/3 + 9. Let b(m) = 0. What is m?
0, 1
Let i(p) be the second derivative of 0*p**3 - 1/90*p**6 - 1/126*p**7 + 0*p**2 + 0 + 1/36*p**4 + 1/60*p**5 - p. Factor i(v).
-v**2*(v - 1)*(v + 1)**2/3
Let r(j) be the second derivative of 0*j**2 + 0 + 0*j**3 + 1/50*j**5 - 1/15*j**4 + 4*j. Factor r(c).
2*c**2*(c - 2)/5
Let x(a) be the second derivative of 2*a**5/45 + a**4/6 + 2*a**3/9 + a**2/9 + a. Factor x(j).
2*(j + 1)**2*(4*j + 1)/9
Let u(a) be the third derivative of -a**8/952 - 8*a**7/1785 - a**6/340 + a**5/255 + 22*a**2. Find q such that u(q) = 0.
-2, -1, 0, 1/3
Let o(t) be the second derivative of t**5/40 + t**4/12 - t**3/12 - t**2/2 + 2*t. Factor o(k).
(k - 1)*(k + 1)*(k + 2)/2
Let c(r) be the third derivative of -r**7/105 + r**6/40 + r**5/20 - r**4/12 - 29*r**2. Factor c(f).
-f*(f - 2)*(f + 1)*(2*f - 1)
Suppose -2*z + 7 = 1. Suppose 11 = 4*d + z. Let -8/11 - 14/11*i**d - 32/11*i = 0. Calculate i.
-2, -2/7
Let k = -16577/1520 - -175/16. Let u = k - -163/855. Factor 2/9*n - 2/9*n**3 - 2/9*n**4 + u*n**2 + 0.
-2*n*(n - 1)*(n + 1)**2/9
Let k(x) be the first derivative of x**6/6 + x**5/5 - x**4/4 - x**3/3 - 14. Find w such that k(w) = 0.
-1, 0, 1
Let q = -4 + 8. Suppose -u**2 - 6 + 2 + 0 - q*u + 0*u = 0. Calculate u.
-2
Let h(f) be the second derivative of f**7/210 - f**6/18 + 4*f**5/15 - 2*f**4/3 - f**3/3 - 10*f. Let k(s) be the second derivative of h(s). Factor k(q).
4*(q - 2)**2*(q - 1)
Let h(v) = 5*v**4 - 10*v**3 + 5*v**2 - 5*v. Let b(s) = s**5 + 4*s**4 - 11*s**3 + 6*s**2 - 6*s. Let w(f) = -5*b(f) + 6*h(f). Factor w(i).
-5*i**3*(i - 1)**2
Factor -1 + 3/2*q + 5/2*q**2.
(q + 1)*(5*q - 2)/2
Let f(k) = -k**2 - 14*k + 19. Let x be f(-15). Determine n, given that -77*n**3 - x*n**2 + 2 + 77*n**3 + 2*n**4 = 0.
-1, 1
Let t(n) be the second derivative of -n**5/2 - 2*n**4 + 11*n**3/3 + 6*n**2 + 10*n. Determine o, given that t(o) = 0.
-3, -2/5, 1
Let m(u) be the first derivative of -u**6/6 + 6*u**5/5 - 13*u**4/4 + 4*u**3 - 2*u**2 - 6. Determine z so that m(z) = 0.
0, 1, 2
Let a(n) = -n**2 - n - 3. Let r be a(-3). Let g be 3*-1*12/r. Determine c so that -60*c**2 + 8*c + 36*c**5 - 233*c**g + 48*c**4 + 39*c**5 + 162*c**3 = 0.
0, 2/5, 2/3, 1
Suppose 9 = 5*s - w, 2 - 3 = -w. Factor 10 - 14 + 2*n**s - n + 3*n.
2*(n - 1)*(n + 2)
Let l(g) be the third derivative of -g**8/11760 - g**7/4410 + g**6/1260 + g**5/210 - g**4/8 + 9*g**2. Let h(s) be the second derivative of l(s). Factor h(k).
-4*(k - 1)*(k + 1)**2/7
Let o(n) = 2*n**3 + 3*n + 1. Let b be 0 + 1 + -3 - 1. Let w(y) = y**3 + 3*y. Let r(d) = b*w(d) + 2*o(d). Factor r(c).
(c - 1)**2*(c + 2)
Let c(a) = -a**3 - 3*a**2 - a + 2. Let k be c(-2). Solve k - 5/3*t**2 + t**3 + 2/3*t = 0.
0, 2/3, 1
Let q(w) be the first derivative of 2 + 13*w**2 - 4*w - 6*w**3 - 32/5*w**5 - 20*w**4. Find h such that q(h) = 0.
-2, -1, 1/4
Let i be (-100)/30*18/(-15). Suppose 1/3*k**i + 0*k + 0 + 2/3*k**3 + 1/3*k**2 = 0. What is k?
-1, 0
Let b(v) be the second derivative of 25*v**7/168 + v**6/24 - v**5/5 + v**4/12 - 6*v. Factor b(d).
d**2*(d + 1)*(5*d - 2)**2/4
Let k(l) be the third derivative of 0 - 1/27*l**3 + 0*l + 1/27*l**4 - 1/945*l**7 + 1/135*l**6 - 1/45*l**5 - 4*l**2. Factor k(n).
-2*(n - 1)**4/9
Let f be -5*(1 - 8/4). Factor -18*r**f + 0 - 73/2*r**3 + 42*r**4 + 14*r**2 - 2*r.
-r*(2*r - 1)**2*(3*r - 2)**2/2
Let f(r) = -r**2 - 6*r - 5. Let t be f(-4). Let p(z) be the second derivative of 1/30*z**4 - 1/15*z**t - 1/5*z**2 + 1/50*z**5 - 2*z + 0. Factor p(c).
2*(c - 1)*(c + 1)**2/5
Let q(b) be the second derivative of 0*b**2 - b + 1/12*b**4 - 1/8*b**5 + 0 + 0*b**3. Find n, given that q(n) = 0.
0, 2/5
Let y(a) be the third derivative of 2*a**2 + 0*a + 0*a**3 + 1/120*a**5 - 1/48*a**4 + 0. Factor y(s).
s*(s - 1)/2
Let w(z) = -3*z**2 - 2 + 5 - 2. Suppose 2*n + 3*t + 69 - 29 = 0, 2*t + 36 = -2*n. Let h(j) = -10*j**2 + 3. Let g(u) = n*w(u) + 4*h(u). Factor g(a).
2*(a - 1)*(a + 1)
Suppose 2*h - 21 = -3*s, -s = -0*h - h - 12. Let g be ((-4)/6)/((-24)/s). Determine l, given that g*l**2 - 1/4 + 0*l = 0.
-1, 1
Suppose 8 + 12*d + d**2 + 6*d**2 - d**2 - 2*d**2 = 0. Calculate d.
-2, -1
Let j(r) be the third derivative of -r**7/8820 + r**4/8 - r**2. Let g(d) be the second derivative of j(d). Factor g(p).
-2*p**2/7
Suppose -5/3*w**3 + 1/3*w**4 + 3*w**2 + 2/3 - 7/3*w = 0. Calculate w.
1, 2
Let q(k) be the third derivative of 3*k**8/28 - 4*k**7/35 - 13*k**6/15 + 3*k**4/2 - 4*k**3/3 + 17*k**2. Let q(s) = 0. What is s?
-1, 1/3, 2
Let w(z) be the second derivative of z**4/3 + 2*z**3/3 - 12*z**2 + 7*z. Factor w(d).
4*(d - 2)*(d + 3)
Let t be (-294)/(-1080) + 6/(-27). Let w(p) be the third derivative of -1/120*p**6 - 1/8*p**4 + 0 + 2*p**2 + t*p**5 + 1/6*p**3 + 0*p. Let w(l) = 0. What is l?
1
Let a(w) be the third derivative of -w**5/90 + w**4/18 - w**3/9 + 6*w**2. Factor a(p).
-2*(p - 1)**2/3
Suppose 22/7*o**4 + 0 + o**5 + 1/7*o + 24/7*o**3 + 10/7*o**2 = 0. Calculate o.
-1, -1/7, 0
Suppose z = 3*z. Let h = 3 - z. Factor h*i + 7*i**3 + 12*i**2 + 0 - 1 - 1.
(i + 1)**2*(7*i - 2)
Let l(n) be the second derivative of -5*n**7/21 + 4*n**6/5 - 9*n**5/10 + n**4/3 - 3*n. Factor l(b).
-2*b**2*(b - 1)**2*(5*b - 2)
Let y = 100/11 + -456/55. Factor -6/5*s + 0*s**2 + 2/5*s**3 + y.
2*(s - 1)**2*(s + 2)/5
Let d(y) be the first derivative of y**2 + y**3 + 4*y - 13*y**2 + 4 - 5*y + 49*y. Let d(w) = 0. What is w?
4
Let h be (-300)/(-36) - (8 + -1). Factor -1/3 + c + h*c**2.
(c + 1)*(4*c - 1)/3
Let c be 35/(20/4) - 5. Factor -2/3*r + 0 + 2/3*r**c.
2*r*(r - 1)/3
Let b(d) be the third derivative of 2*d**6/15 + 3*d**5/5 + d**4/3 + 33*d**2 + 2. Factor b(f).
4*f*(f + 2)*(4*f + 1)
Let i(j) be the second derivative of -j**5/30 - j**4/6 - j**3/3 - j**2/3 + 17*j. What is n in i(n) = 0?
-1
Let y be -4*((-142)/(-36) + -4). Let 0*r - 4/9*r**2 + 0 - y*r**3 = 0. Calculate r.
-2, 0
Let y be (-2)/(-6) + (-1)/(-15). Let a = -5/24 + 169/120. Solve -y - a*d**2 - 8/5*d = 0.
-1, -1/3
Let p(z) be the third derivative of z**7/315 - z**6/45 + z**5/30 + z**4/9 - 4*z**3/9 - 21*z**2 - 2. Factor p(c).
2*(c - 2)**2*(c - 1)*(c + 1)/3
Factor 9/8*c**4 - 3/4*c**3 - 3/8*c**5 + 0*c**2 + 0*c + 0.
-3*c**3*(c - 2)*(c - 1)/8
Let r = -2/21 - -29/84. Let d(l) = -2*l + 6. Let w be d(3). Solve 1/4*q**2 + r*q + w = 0.
-1, 0
Let u be (-6)/24 + (-33)/(-4). Factor 0 - 14*h**3 - 23*h**4 + 13*h**4 + 0 + 16*h**2 + u*h.
-2*h*(h - 1)*(h + 2)*(5*h + 2)
Suppose -2*w + 35 = 4*v - 7*w, -4*w + 8 = 4*v. Let q be (v/(-20))/((-7)/8). Factor -q - 8/7