(u) = 3*u**3 + 10*u**2 + 2*u - 15. Let j(x) = 5*x**3 + 15*x**2 + 3*x - 23. Let c(k) = 8*d(k) - 5*j(k). Find h, given that c(h) = 0.
-1, 1, 5
Let l(i) = i**3 - 5*i**2 + i - 1. Let a be l(5). Let w = a - 3. Suppose -b**2 + 6 - 4 - w = 0. Calculate b.
-1, 1
Let -4*o**3 - 15*o + 25*o - o**3 - 5*o - 20 + 20*o**2 = 0. Calculate o.
-1, 1, 4
Let z = -26 - -10. Let j = z - -19. Factor -1/2*x**j - 1/2*x**2 + 0*x + 0.
-x**2*(x + 1)/2
Let z(r) = 2*r - r + 0*r. Let d(g) be the first derivative of -g**4/4 - 2*g**3/3 + 2*g**2 + 1. Let p(q) = d(q) - 5*z(q). Factor p(u).
-u*(u + 1)**2
Let f(k) = -k**2 - 4*k. Let t be f(-2). Suppose 6*a = -t*p + 2*a + 8, 2*a + 4 = 2*p. What is j in 2*j**4 - 8*j**3 + 4*j**2 + 5*j - 8 + 2*j**p + 3*j = 0?
-1, 1, 2
Let t(k) be the second derivative of -k**6/80 + k**5/80 + k**4/6 + 7*k**3/24 + 3*k**2/16 + 8*k. Determine i so that t(i) = 0.
-1, -1/3, 3
Let p(a) be the third derivative of a**5/108 + 7*a**4/216 + a**3/27 + 14*a**2. Let p(r) = 0. Calculate r.
-1, -2/5
Let n = 14 - 10. Find u, given that -3*u**4 + 7*u**4 - 6 + 3*u - u**3 - 7*u**n - 2*u**3 + 9*u**2 = 0.
-2, -1, 1
Let 3/2*d**5 - 3*d**2 + 0*d**4 - 9/2*d**3 + 0*d + 0 = 0. Calculate d.
-1, 0, 2
Let y be ((36/6)/(-2) - -3)/(-3). Factor 0 - 7*m**4 + 8*m**3 + y*m - 49/3*m**5 - 4/3*m**2.
-m**2*(m + 1)*(7*m - 2)**2/3
Let d(f) be the second derivative of f**5/20 - f**4/4 + f**3/2 - f**2/2 + 21*f. Factor d(m).
(m - 1)**3
Suppose -11 - 4 = -5*a. Suppose a*j + 0*j - 6 = 0. Factor -j*y - 2/3*y**2 - 4/3.
-2*(y + 1)*(y + 2)/3
Factor 2 + 3*m**2 - 4*m**2 - 15*m + 16*m.
-(m - 2)*(m + 1)
Let j(q) = -q**2 - 5*q - 1. Let s = -9 - -5. Let u be j(s). Suppose u + 14*i**2 - 1 + 12*i - i = 0. What is i?
-1/2, -2/7
Suppose 31*d - 10 = 52. Let 0*j + 0 + 1/4*j**4 + 0*j**d + 0*j**3 + 1/4*j**5 = 0. Calculate j.
-1, 0
Let j(f) = -2*f**4 + 13*f**3 + 5*f**2 + f - 3. Let b(o) = -o**4 + 6*o**3 + 2*o**2 - 1. Let g(z) = 7*b(z) - 3*j(z). Suppose g(k) = 0. What is k?
-1, 1, 2
Let v = -9 + 14. Suppose 0*c**4 + 1 + v - 4*c - 5 + c**4 + 6*c**2 - 4*c**3 = 0. What is c?
1
Let j(p) = -p**3 + 2*p**2 + 5*p - 3. Let g be j(3). Let u be 1/g*2*6. Suppose 22/9*o**3 - 32/9*o**u - 4/9*o**2 + 0 + 0*o + 14/9*o**5 = 0. Calculate o.
0, 2/7, 1
Let d(r) = 7*r**2 - 8*r. Let s(j) = j**2 - j. Let z(n) = d(n) - 6*s(n). Factor z(m).
m*(m - 2)
Let w(c) = -2*c**2 + 4*c**2 - c**2 + 5*c - 2*c - 14. Let h be w(-6). Find s, given that -1/3*s**h + 0*s + 0*s**3 - 1/3 + 2/3*s**2 = 0.
-1, 1
Let w = 1 - -2. Let a = w - 1. Factor -a*h + 4*h**4 + 0*h**2 + 6/5*h**5 - 4/5 + 4*h**3.
2*(h + 1)**4*(3*h - 2)/5
Let t = -5 - -8. Suppose s**2 - 7 + t - s + 2 = 0. Calculate s.
-1, 2
Suppose -6*w = -7*w. Let l(o) be the third derivative of 0*o - o**2 + 1/6*o**3 + w - 1/60*o**5 + 0*o**4. Determine u so that l(u) = 0.
-1, 1
Let t(l) be the second derivative of -l**6/10 - 3*l**5/20 + 22*l. Find j, given that t(j) = 0.
-1, 0
Let p(n) be the second derivative of -2*n + 3/20*n**5 - 3/4*n**4 + 3*n**2 - 1/2*n**3 + 0 + 1/10*n**6. Suppose p(g) = 0. What is g?
-2, -1, 1
Let h(l) be the first derivative of -l**6/30 + l**5/20 + l**4/12 - l**3/6 + 3*l + 2. Let b(a) be the first derivative of h(a). Determine r, given that b(r) = 0.
-1, 0, 1
Let h(j) be the first derivative of 3 - 3*j + 12*j**4 - 24*j**3 + 27/2*j**2. Factor h(d).
3*(d - 1)*(4*d - 1)**2
Let a = 3/230 + 56/115. Factor 1/2*j**3 - j**2 + 1 - a*j.
(j - 2)*(j - 1)*(j + 1)/2
Let o(t) = t - 4. Let b be o(9). Let z(h) be the third derivative of 0*h + 0*h**3 - 1/30*h**b + h**2 + 0 - 1/6*h**4. What is a in z(a) = 0?
-2, 0
Let y(l) be the third derivative of l**5/210 - 2*l**4/7 + 48*l**3/7 - 14*l**2. Factor y(w).
2*(w - 12)**2/7
Let r(h) be the second derivative of -h**6/75 - 3*h**5/50 + 4*h**3/15 - 2*h. Factor r(k).
-2*k*(k - 1)*(k + 2)**2/5
Let i(s) = s**2 - 7*s - 11. Let v be i(9). Let u = -7 + v. Solve 2*f + u*f**3 + 0*f + f**3 + f**3 + 4*f**2 = 0 for f.
-1, 0
Suppose -8 = 2*x + a - 29, -2*a + 15 = x. Let o be (-36)/(-14)*(-42)/(-9). Find p such that 1 - x + o*p - 10 - 2*p**2 = 0.
3
Suppose -3*n - 16 = 2. Let q be (-2)/(1/(n/4)). Factor 2/5*a**4 - 2/5 - 4/5*a**q + 4/5*a + 0*a**2.
2*(a - 1)**3*(a + 1)/5
Let s(n) = -2*n**2 + 2*n. Let q = -3 + 7. Let g(m) = -2*m**2 + 3*m - 1. Let f(r) = r. Let z be f(-3). Let l(w) = q*g(w) + z*s(w). Let l(k) = 0. What is k?
1, 2
Let i(f) be the second derivative of 0 + 1/3*f**2 + 1/3*f**3 + 1/30*f**5 + 1/6*f**4 + 2*f. Solve i(y) = 0 for y.
-1
Let j be (-3)/6 + (-3)/(-4). Let o = j + 1/4. Factor -z - 1/2*z**2 - o.
-(z + 1)**2/2
Let b(o) = -17 + o - 4*o + 4*o - o**4 + 18. Let y(z) = 2*z**5 - 6*z**4 + 12*z**3 - 8*z**2 - 2. Let x(i) = 2*b(i) + y(i). Find g, given that x(g) = 0.
0, 1
Factor 0*r + 0*r**2 + 0 + 0*r**3 + 6/5*r**4 + 3/5*r**5.
3*r**4*(r + 2)/5
Factor -200*b**2 - 5*b**5 + 200*b**2.
-5*b**5
Let l(p) be the second derivative of -p**7/168 + p**6/20 - 11*p**5/80 + p**4/24 + p**3/2 - p**2 - 8*p. Solve l(a) = 0.
-1, 1, 2
Let h be 22/5 + 16/(-12)*3. Factor 0*k - h*k**2 - 6/5*k**5 + 0 - 2/5*k**3 + 2*k**4.
-2*k**2*(k - 1)**2*(3*k + 1)/5
Suppose 5*w - 4*h + 3*h - 15 = 0, 2*h = 3*w - 16. Factor 5*s + s - 9*s + 0*s - 3*s**3 + 6*s**w.
-3*s*(s - 1)**2
Let m(n) = -n + 8. Suppose 3*y - c - 21 = 0, y = 4*c - 7*c - 3. Let x be m(y). Factor 0*p**3 + 0*p + 2/7*p**4 - 2/7*p**x + 0.
2*p**2*(p - 1)*(p + 1)/7
Factor -1/3 - g**2 - 1/3*g**3 - g.
-(g + 1)**3/3
Suppose 3*m - 2*m - 3*l = -3, 3*m + 2*l - 2 = 0. Factor -2/7*c**3 + 0 + m*c**2 + 0*c.
-2*c**3/7
Let k(f) be the first derivative of -f**9/9072 - f**8/5040 + f**7/2520 + f**6/1080 - f**3 + 4. Let a(s) be the third derivative of k(s). Factor a(o).
-o**2*(o - 1)*(o + 1)**2/3
Let w be 8/(-12)*(-18)/4. Let q(x) be the third derivative of 1/60*x**5 - 4*x**2 + 1/40*x**4 + 0*x + 0 - 1/15*x**w. Let q(v) = 0. What is v?
-1, 2/5
Suppose 0 = -21*v + 23*v. Factor z + v - 1/2*z**3 + 1/2*z**2.
-z*(z - 2)*(z + 1)/2
Let k(v) be the second derivative of -1/60*v**4 + 0 - 9/10*v**2 - 1/5*v**3 - 6*v. Solve k(j) = 0 for j.
-3
Let c = -5 - -7. Find x, given that -4*x**3 + 6*x**3 - x**3 - 3*x - c = 0.
-1, 2
Suppose 3 = -3*h + 21. Let l(s) be the third derivative of 1/42*s**5 + 5/84*s**h + 4/21*s**3 - 4/21*s**4 + 2*s**2 + 0 + 0*s. Factor l(v).
2*(v + 1)*(5*v - 2)**2/7
Let n be (-2)/(-5) - (-46)/10. Let a = n - 2. Factor -4/3*z**2 + 0*z + 2/3*z**a + 0.
2*z**2*(z - 2)/3
Let g(x) = -7*x**4 - 13*x**3. Let w(s) = 4*s**4 + 7*s**3. Let n(t) = 6*g(t) + 10*w(t). Find a, given that n(a) = 0.
-4, 0
Suppose 0 = -3*f + 3*x + 12, -2*x = -4*f + 4 + 4. Factor -14/5*j**4 + 4/5*j**3 + f*j + 0*j**2 + 0 + 2*j**5.
2*j**3*(j - 1)*(5*j - 2)/5
Let r(b) be the third derivative of b**6/8 + 7*b**5/12 + 25*b**4/24 + 5*b**3/6 - 10*b**2. Factor r(y).
5*(y + 1)**2*(3*y + 1)
Let h = 11 - 8. Let x = 1839/2 + -918. What is v in -x*v + 3/4*v**h - 3/4*v**2 + 0 = 0?
-1, 0, 2
Let a be ((-4)/(-6))/((-4)/(-18)). Suppose 0 = 4*p - 6*p - w + 6, 0 = a*p - w + 1. Factor -2*l**2 - 4*l + 0 + p - 3.
-2*(l + 1)**2
Let u be (-2)/(-4) - (-14)/4. Find q such that -q - q**4 + 3*q**u - 3*q**3 - q**4 + 3*q**2 = 0.
0, 1
Let m(l) be the first derivative of -34*l**3/3 + 13*l**2/2 + 7*l + 1. Let k(o) = -23*o**2 + 9*o + 5. Let b(i) = -7*k(i) + 5*m(i). Factor b(t).
-t*(9*t - 2)
Factor 0 + 1/2*i - 1/2*i**2.
-i*(i - 1)/2
Let f(m) be the third derivative of 0*m + 1/35*m**7 - 1/4*m**4 + 1/30*m**6 - 1/15*m**5 - 1/3*m**3 + 6*m**2 + 0 + 1/168*m**8. Factor f(d).
2*(d - 1)*(d + 1)**4
Let v = 28 - 26. Suppose 0 = -5*x + 2*p + 8, -v*x + p = -3*p. Find l such that 0*l + 0 + 2*l**3 + 4/5*l**x = 0.
-2/5, 0
Let t(s) be the second derivative of 1/35*s**5 - 1/42*s**4 + 1/105*s**6 - 2/21*s**3 + 0 + 0*s**2 + 3*s. Factor t(x).
2*x*(x - 1)*(x + 1)*(x + 2)/7
Let b(s) be the first derivative of -7*s**4/18 - 4*s**3/3 + 4*s**2/3 - s - 4. Let i(l) be the first derivative of b(l). Factor i(y).
-2*(y + 2)*(7*y - 2)/3
Suppose 12 = u + 3*u. Suppose 0*x = u*x. Suppose -1/5*s + 1/5*s**2 + x = 0. Calculate s.
0, 1
Let g(b) be the third derivative of -b**6/40 + b**5/20 + b**2. Find j such that g(j) = 0.
0, 1
Let b(s) be the second derivative of 9/10*s**5 + 0*s**3 + 2*s + 1/3*s**4 + 0*s**2 + 0 + 7/15*s**6. Factor b(m).
2*m**2*(m + 1)*(7*m + 2)
Suppose 6*n - 4*n - 16 = 0. Suppose -8 = -4*c - 4*x + n, c = -4*x - 2. Factor 4*a**2 - a - c*a**2 + a**2.
-a*(a + 1)
Facto