+ 15*h - 225. Let m(g) = 6*k(g) - 85*w(g). Solve m(j) = 0.
-1, 2
Let -41*m - 4*m**2 + 23*m - 4 + 26*m = 0. What is m?
1
Let r be 132/351 - 6/39. Let l(c) be the second derivative of -4/9*c**4 + c - 1/10*c**5 - 13/27*c**3 - r*c**2 + 0. Factor l(b).
-2*(b + 2)*(3*b + 1)**2/9
Suppose -4*p = 2*r - 6*p - 6, -5*r - p = 3. Suppose r + 0*q - 1/4*q**2 = 0. What is q?
0
Let o(j) = j**2 + 10*j + 1. Let z(q) = -9*q. Let s(d) = 3*o(d) + 4*z(d). Factor s(n).
3*(n - 1)**2
Let w(g) be the second derivative of -g**7/21 - g**6/6 + 5*g**4/12 + g**3/3 + 9*g. Determine u so that w(u) = 0.
-2, -1, -1/2, 0, 1
Let g(a) be the first derivative of a**6/2 - 6*a**5/5 - 9*a**4/4 + 8*a**3 - 6*a**2 - 2. Suppose g(v) = 0. What is v?
-2, 0, 1, 2
Let x(m) be the second derivative of -m**5/60 + m**4/12 - m**3/6 - 2*m**2 - 3*m. Let b(l) be the first derivative of x(l). Factor b(w).
-(w - 1)**2
Let v(y) be the second derivative of -y**6/120 - y**5/16 - y**4/8 + y**3/6 + y**2 + 17*y. Factor v(p).
-(p - 1)*(p + 2)**3/4
Let n be (-2 + (-5 - 1))/(-2). Factor 9 - 9 - 4*o**n + 16*o**2 - 4*o**3 + 16*o.
-4*o*(o - 2)*(o + 1)*(o + 2)
Let x(g) be the third derivative of g**7/14 + 3*g**6/20 - g**5/5 - 3*g**4/4 - g**3/2 - 7*g**2. Factor x(q).
3*(q - 1)*(q + 1)**2*(5*q + 1)
Suppose -2*j + 0*j - 2 = 0. Let b(v) = -v - 1. Let y(g) = -3*g**2 - 18*g - 15. Let i(m) = j*y(m) + 18*b(m). Determine o, given that i(o) = 0.
-1, 1
Let g = 11 + -9. Let b be (-6 - -3) + g + 4. Let -3/2*z**2 - 7/2*z**4 + 0 + 6*z**b - z = 0. Calculate z.
-2/7, 0, 1
Let q = -479/7 - -69. Factor -2/7*f**2 - q*f - 2/7.
-2*(f + 1)**2/7
Let t(d) be the second derivative of d**5/60 - d**3/18 - 8*d. Let t(s) = 0. What is s?
-1, 0, 1
Let y = 5713/5005 + 1/715. Let -y - 8/7*j - 2/7*j**2 = 0. Calculate j.
-2
Suppose 0 = 359*o - 356*o. Find p, given that 0*p**3 + 1/2*p**4 + 0 + o*p + 0*p**2 = 0.
0
Suppose 4*d + 5*c + 11 = 6*d, 0 = 4*d + 3*c + 17. Let h = d - -4. Factor -5*v - v - v**h + 5*v.
-v*(v + 1)
Let c(p) = -6*p**4 - 18*p**3 - 18*p**2 + 7*p. Let t(a) = 3*a**3 - 2*a**2 + 3*a**2 + 2*a**2 - a + a**4. Let d(f) = 6*c(f) + 39*t(f). Find o, given that d(o) = 0.
-1, 0
Let b(g) be the second derivative of 2*g**7/21 - 4*g**6/15 + 2*g**4/3 - 2*g**3/3 + 6*g. Find z, given that b(z) = 0.
-1, 0, 1
Let m be ((-2)/(-5))/((-3)/(-30)). Let b(s) = s**2 - s. Let v(n) = 32*n**2 - 8*n + 1. Let u(d) = m*b(d) + v(d). Suppose u(c) = 0. What is c?
1/6
Let t be ((-15)/6)/(2/(-4)). What is n in -n + n**5 - n**5 + 2*n**t + 2*n**3 - 3*n**5 = 0?
-1, 0, 1
Let g(r) = -r. Let v be g(2). Let x be v*((-51)/24 + 2). Let 0 - x*b - 1/4*b**3 + 1/2*b**2 = 0. What is b?
0, 1
Suppose a = -2*a - 9, 4*i = 2*a - 6. Let d be (i/2)/(3 - 6). Determine h so that -1/4*h + 3/4*h**3 + d*h**4 + 0 + 0*h**2 = 0.
-1, 0, 1/2
Let z(f) be the second derivative of f**4/3 + 5*f**3/6 + f**2/2 + f. Let j = 2 - 8. Let o(w) = -7*w**2 - 9*w - 2. Let u(m) = j*o(m) - 10*z(m). Factor u(s).
2*(s + 1)**2
Let f(j) = -4*j**3 + j. Let k be f(-1). Factor 3/4*b + 3/4*b**2 + 1/4 + 1/4*b**k.
(b + 1)**3/4
Let l(j) = j**3 - j**2 - 2*j. Let f(m) = 10*m**3 + 10*m**2 - 8*m - 24. Let a(i) = f(i) - 6*l(i). Factor a(c).
4*(c - 1)*(c + 2)*(c + 3)
Let t(m) be the second derivative of -1/12*m**4 - 1/60*m**6 + 0*m**3 + 1/2*m**2 + 1/15*m**5 + m + 0. Let n(i) be the first derivative of t(i). Factor n(h).
-2*h*(h - 1)**2
Let b(w) be the first derivative of 3*w**4/4 + 8*w**3/3 + 3*w**2/2 - 2*w + 12. Factor b(t).
(t + 1)*(t + 2)*(3*t - 1)
Suppose 2*k**3 - 6*k**4 - 20 + k**4 + 2*k**2 + 13*k**2 + 8*k**3 - 20*k = 0. What is k?
-1, 2
Let u = -72 - -74. Factor -2/3*c**u + 8/3*c - 8/3.
-2*(c - 2)**2/3
Factor 2/7*g**4 + 6/7*g**2 - 8/7*g**3 + 0 + 0*g.
2*g**2*(g - 3)*(g - 1)/7
Let c be (-25 + 27)*(-4)/(-6). Factor -c*z**2 + 2/3 + 0*z**3 + 2/3*z**4 + 0*z.
2*(z - 1)**2*(z + 1)**2/3
Let l(m) be the first derivative of -m**4/8 - 5*m**3/6 - m**2 + 10. Factor l(p).
-p*(p + 1)*(p + 4)/2
Suppose -11 = -4*x - 3. Let b be (x/(-4))/(18/(-24)). Factor -b*t**4 + 4/3*t**3 + 0*t - 2/3*t**2 + 0.
-2*t**2*(t - 1)**2/3
Let b(d) = -d**2 - 5*d + 3. Let m be b(-5). Suppose k + 1 = -2*q + 3*q, k = m*q - 11. Let -2*a**4 + a**3 - a**2 + 3*a**4 - a**q + 0*a**2 = 0. What is a?
-1, 0, 1
Suppose 3*o = o + 12. Let g be (18/(-15))/(4 - o). Factor -3/5*x - 2/5 + 2/5*x**2 + g*x**3.
(x - 1)*(x + 1)*(3*x + 2)/5
Suppose k - 19 = 4*t, -5*t - k - 3*k - 50 = 0. Let r = 9 + t. Factor 2 - 4*p**3 + p**3 + p**r + p + p - 2*p**2.
-2*(p - 1)*(p + 1)**2
Suppose c - 22 = 5*q, -8 + 26 = 5*c - 2*q. Solve c*f + f - f + 4 + 0*f - 2*f**2 = 0.
-1, 2
Let k be (-63)/18*20/(-245). Find z, given that 0*z**2 + 0 + 0*z - 2/7*z**4 + k*z**3 = 0.
0, 1
Let l(r) be the third derivative of r**5/360 - r**4/48 + r**3/18 + 26*r**2. Let l(m) = 0. Calculate m.
1, 2
Let o(n) be the third derivative of 1/12*n**4 + 0*n**3 + 1/20*n**6 + 0 + 0*n - 1/105*n**7 + 3*n**2 - 1/10*n**5. Let o(f) = 0. What is f?
0, 1
Let z be -9*(-1 + 3 + -1). Let f = z - -9. Factor -1/3*i**4 + 1/3*i + f + 1/3*i**2 - 1/3*i**3.
-i*(i - 1)*(i + 1)**2/3
Suppose -u + 3*n = 5*n + 1, 4*n = 2*u - 14. Suppose u = h, -2*h + 6*h - 8 = 4*g. Solve -4 + 1 - c - 5*c - g - 2*c**2 = 0.
-2, -1
Let x(y) = 70*y**3 - 210*y**2 - 715*y - 265. Let c(q) = -5*q**3 + 15*q**2 + 51*q + 19. Let w(f) = 85*c(f) + 6*x(f). Solve w(g) = 0 for g.
-1, 5
Let v be (-4)/((-7)/((-7)/(-2))). Determine l, given that 177*l - 2*l**3 - v*l**2 - 177*l = 0.
-1, 0
Let g(l) be the third derivative of l**6/80 + 13*l**5/120 + l**4/3 + l**3/3 + 7*l**2. Let g(b) = 0. What is b?
-2, -1/3
Suppose 0 = -3*m + 4 - 1. Let b = 3 - m. Factor 1/2*h + 1/2*h**b + 0.
h*(h + 1)/2
Suppose -5*b + 0*b + 25 = 0. Suppose -2*g + b*k = -15, -g + 0*k - 2*k - 6 = 0. Factor -8/3*y**3 - 8/3*y**2 + g - 2/3*y.
-2*y*(2*y + 1)**2/3
Let o(g) = 3*g**2 + 3*g - 12. Let n(l) = 1. Let h(d) = -2*d**2 + 5*d. Let z be h(4). Let k(b) = z*n(b) - o(b). Factor k(p).
-3*p*(p + 1)
Let c(u) be the second derivative of u**7/42 + u**6/15 + u**5/20 - 3*u. Factor c(g).
g**3*(g + 1)**2
Let y = 10 - 20. Let m be 5/y + (-1)/(-2). Find g such that m - 1/3*g**3 - 2/3*g**2 - 1/3*g = 0.
-1, 0
Let o = -1 + 8. Let p be (-4)/(-14) - (-19)/o. Factor 0*t + 1/4*t**p + 0 - 1/4*t**2.
t**2*(t - 1)/4
Factor -4/9*u - 1/9*u**2 - 1/3.
-(u + 1)*(u + 3)/9
Let q(r) be the third derivative of -3*r**8/8960 - r**7/3360 + r**6/320 + r**5/160 - r**4/4 - 6*r**2. Let z(g) be the second derivative of q(g). Factor z(s).
-3*(s - 1)*(s + 1)*(3*s + 1)/4
Let 0*w - 2 + 7*w - 2*w**2 - w - 2*w = 0. What is w?
1
Let z(d) be the second derivative of d**4/72 + 6*d. Suppose z(t) = 0. Calculate t.
0
Suppose -7*o + 32*o**2 - o - 3*o**4 - 30*o**2 + o**4 + 8*o**3 = 0. Calculate o.
-1, 0, 1, 4
Let g(c) = -5*c**4 + 5*c**2 - 11*c + 11. Let v(s) = -s**4 + s**2 - 2*s + 2. Let a(z) = -4*g(z) + 22*v(z). Factor a(i).
-2*i**2*(i - 1)*(i + 1)
Let x(z) be the second derivative of -z**7/189 - 7*z. Factor x(l).
-2*l**5/9
Let u(h) be the third derivative of h**7/1890 - h**6/240 + h**5/180 + h**4/24 - 2*h**2. Let b(r) be the second derivative of u(r). Factor b(f).
(f - 2)*(4*f - 1)/3
Let v be (-8)/16*1/(-6). Let l(s) be the second derivative of 0 + s + 5/48*s**4 + 0*s**2 + 7/80*s**5 - v*s**3. Determine n, given that l(n) = 0.
-1, 0, 2/7
Let c be 32/(-64)*((-20)/6 + 2). Let a = 19/30 - -1/30. Factor -2/3 + c*n - 2/3*n**3 + a*n**2.
-2*(n - 1)**2*(n + 1)/3
Let o be (-16 - -17)/((-1)/(-3)). Let c(m) be the first derivative of 2/15*m**3 + o - 2/5*m**2 + 2/5*m. Factor c(x).
2*(x - 1)**2/5
Let u(x) be the third derivative of x**6/600 - 7*x**5/150 + x**4/2 - 12*x**3/5 - 68*x**2. Suppose u(a) = 0. Calculate a.
2, 6
Let h = -4 + 4. Factor h*i**3 - 2*i**3 - 4*i**2 + 3*i**3 + 4*i.
i*(i - 2)**2
Let a = -87 + 437/5. Factor -2/5*z**3 - 2/5*z**2 + a*z**4 + 2/5*z**5 + 0 + 0*z.
2*z**2*(z - 1)*(z + 1)**2/5
Suppose 0 = -w + 8 - 3. Let c(q) = q**4 - q**2. Let g(r) = r**4 - r**2. Let l(j) = w*g(j) - 6*c(j). Factor l(u).
-u**2*(u - 1)*(u + 1)
Factor -3/2*s**3 + 0 + 0*s - 1/2*s**2.
-s**2*(3*s + 1)/2
Let f(y) be the first derivative of y**5/5 + y**4/2 - y**3/3 - y**2 - 5. Factor f(i).
i*(i - 1)*(i + 1)*(i + 2)
Let c = -1/7 - -9/14. Determine i so that 0 + i + c*i**2 = 0.
-2, 0
Factor h - 8*h - 8 - 4*h**2 + 0*h - 5*h.
-4*(h + 1)*(h + 2)
Let x = 46 + -43. Factor -3/5*u**x + 0 + 3/5*u**5 + 3/5*u**4 - 3/5*u**2 + 0*