et q(t) = 12*t + 11. Let f(r) = 11*r + 10. Let b(w) = -7*f(w) + 6*q(w). Let s be b(-4). Solve 0 + u**2 - s*u - 2 + 17*u = 0.
-2, 1
Solve 0*x**2 - 6*x**4 - 9*x**3 + 4 - 5*x**3 + 2*x**2 + 14*x = 0.
-2, -1, -1/3, 1
Let f(q) be the first derivative of q**4/6 - 4*q**3/3 + 4*q**2 - 4*q + 4. Let l(v) be the first derivative of f(v). Determine r so that l(r) = 0.
2
Factor 0*t**2 + 0 - 2/5*t + 2/5*t**3.
2*t*(t - 1)*(t + 1)/5
Let x(m) be the first derivative of -m**7/4620 - m**6/1980 + m**5/330 - 2*m**3/3 + 2. Let z(l) be the third derivative of x(l). Find b such that z(b) = 0.
-2, 0, 1
Let r(i) be the third derivative of -i**8/1080 - i**7/315 - i**6/540 + i**5/270 - i**3/3 - 3*i**2. Let c(b) be the first derivative of r(b). Factor c(h).
-2*h*(h + 1)**2*(7*h - 2)/9
Let i(k) = 5*k**4 + 13*k**3 + 23*k**2 + 27*k + 4. Let d(j) = 14*j**4 + 38*j**3 + 70*j**2 + 81*j + 11. Let z(c) = -4*d(c) + 11*i(c). Find m such that z(m) = 0.
-3, 0
Let u = -1 + 4. Suppose 2*t**5 + 0 - 18/7*t**4 + 18/7*t**2 - 4/7*t - 10/7*t**u = 0. Calculate t.
-1, 0, 2/7, 1
Let b(d) be the second derivative of -d**5/10 + d**4/2 - d**3 + d**2 - 15*d. Factor b(x).
-2*(x - 1)**3
Let a(v) = -v**3 + v. Let g(q) = 10*q**3 + 42*q**2 + 59*q + 24. Let d(o) = a(o) + g(o). Suppose d(s) = 0. What is s?
-2, -2/3
Let w = 3 + -3. Suppose 0*l - 3*l = w. Let 4*f**3 + 2*f**3 + 3*f**4 + l*f**4 = 0. What is f?
-2, 0
Let q(i) be the second derivative of 3*i + i**3 + 1/6*i**4 + 2*i**2 + 0. Suppose q(z) = 0. What is z?
-2, -1
Let h(v) be the second derivative of -v**6/135 - v**5/15 - 13*v**4/54 - 4*v**3/9 - 4*v**2/9 - 18*v. Factor h(c).
-2*(c + 1)**2*(c + 2)**2/9
Let j(x) be the first derivative of 10*x**6/3 + 7*x**5 + 5*x**4/2 - 5*x**3/3 + 16. Factor j(k).
5*k**2*(k + 1)**2*(4*k - 1)
Let r(m) be the second derivative of -1/9*m**3 + 1/36*m**4 + m + 0 + 1/6*m**2. Factor r(t).
(t - 1)**2/3
Let g be ((-330)/80)/((-3)/(-44)). Let l = -59 - g. Find u, given that -1/2*u**2 + l*u - 1 = 0.
1, 2
Determine y, given that 7*y + 8*y**2 + 2*y**3 - 12*y**2 - 9*y + 4 = 0.
-1, 1, 2
Let t = -1034/45 + 116/5. Factor -t*m**2 - 2/9*m + 0.
-2*m*(m + 1)/9
Let u(q) be the first derivative of -2*q**3/33 - 4*q**2/11 - 6*q/11 - 6. Factor u(i).
-2*(i + 1)*(i + 3)/11
Let r(w) be the second derivative of w**8/560 + w**7/140 + w**6/120 + w**3/2 + 3*w. Let x(m) be the second derivative of r(m). Solve x(o) = 0 for o.
-1, 0
Let o(z) = -6*z**3 - 3*z + 1. Let h(r) = -r**3 + r**2 + r + 1. Let v(f) = 15*h(f) - 3*o(f). Suppose v(u) = 0. Calculate u.
-2, -1
Let a be 11/4 - (-3)/(-4). Let k(c) be the first derivative of 2 + 1/3*c**3 - 1/2*c - 1/10*c**5 + 0*c**4 + 0*c**a. Factor k(o).
-(o - 1)**2*(o + 1)**2/2
Let a be ((1134/(-24))/(-9))/9. Let y(q) be the first derivative of -5/8*q**2 + a*q**3 - 3 - 1/2*q. What is g in y(g) = 0?
-2/7, 1
Suppose 0 = -5*y + 5*t + 20, y + 17 = 5*y - 5*t. Let z(a) be the first derivative of -1/30*a**5 + 0*a**4 + 1 + 0*a + 0*a**2 + 0*a**y. Let z(x) = 0. Calculate x.
0
Factor 16*j - 1393*j**2 + 79 + 1389*j**2 - 31.
-4*(j - 6)*(j + 2)
Let b(k) = k + 1. Let u(v) = 3*v**3 + 6*v**2 - 6*v - 6. Suppose 3*h + y = 2*y + 2, 0 = -2*y + 2. Let p(g) = h*u(g) + 6*b(g). Find d such that p(d) = 0.
-2, 0
Let l(i) be the second derivative of 4*i**7/21 - 2*i**6/5 + i**5/5 - 5*i. Solve l(y) = 0.
0, 1/2, 1
Let w be 2/40 + 1 + (-16)/20. Let -w*g**2 + 1/2*g - 1/4 = 0. What is g?
1
Let j be 225/(-300) - 10/(-8). Solve -1/2*n**5 + n**2 - 1/2*n**4 + n**3 - j - 1/2*n = 0.
-1, 1
Let d(a) be the second derivative of a**6/240 - a**5/60 - a**4/48 + a**3/6 + a**2 + a. Let y(x) be the first derivative of d(x). Let y(t) = 0. What is t?
-1, 1, 2
Factor -3*d**2 + 86*d + 0*d**2 - 80*d.
-3*d*(d - 2)
Suppose 18 = 4*x + 10. Let b(w) be the third derivative of 0*w + 1/36*w**4 - 1/18*w**3 - x*w**2 + 0 - 1/180*w**5. Let b(j) = 0. Calculate j.
1
Let k be 10*((-4)/(-10) - 0). Suppose a - 4*a + 15 = -3*z, k*z - a + 5 = 0. Factor -3/5*l**3 - 3/5*l**4 + 0 + z*l**2 + 0*l.
-3*l**3*(l + 1)/5
Factor 6*m + 46*m**2 - 4*m - 48*m**2.
-2*m*(m - 1)
Let l(v) be the second derivative of -v**9/945 + v**7/210 + v**6/180 - 2*v**4/3 - v. Let m(j) be the third derivative of l(j). Factor m(a).
-4*a*(a - 1)*(2*a + 1)**2
Let u be (-2)/(4/(-6)) + 1. Factor -3*v**4 - 10*v**u - 9*v**2 - 2 + 5*v**3 + 7*v + 12*v**4.
-(v - 2)*(v - 1)**3
Let i(k) be the first derivative of k**5/30 + k**4/12 + k**3/18 + 23. Factor i(r).
r**2*(r + 1)**2/6
Let y(s) be the third derivative of s**8/784 + s**7/490 - s**6/140 - s**5/70 + s**4/56 + s**3/14 - 2*s**2. What is u in y(u) = 0?
-1, 1
Let 0*l**2 + 0*l**4 + 0 + 4/17*l**3 - 2/17*l - 2/17*l**5 = 0. Calculate l.
-1, 0, 1
Let k(l) be the second derivative of l**9/1008 + l**8/560 + 2*l**3/3 + l. Let t(o) be the second derivative of k(o). Find c such that t(c) = 0.
-1, 0
Let o(k) = k**4 + k**3. Let s be (-84)/60 + 2/5. Let h(n) = n**4 - 5*n**3 - 3*n**2 + 3*n. Let w(u) = s*h(u) - 2*o(u). Solve w(r) = 0 for r.
-1, 0, 1
Let g(s) be the first derivative of -s**9/1512 + s**8/840 + s**7/420 - s**6/180 + s**3 + 6. Let w(o) be the third derivative of g(o). Factor w(h).
-2*h**2*(h - 1)**2*(h + 1)
Let h(f) = 6*f**4 - 6*f**3 - 19*f**2 + 6*f - 13. Let k(r) = r**4 - r**3 - 3*r**2 + r - 2. Let s(c) = -6*h(c) + 39*k(c). Factor s(u).
3*u*(u - 1)**2*(u + 1)
Let 3*k**4 + 18*k**2 - 7*k**2 - 5*k**2 - k**5 - 5*k**2 - 3*k**3 = 0. What is k?
0, 1
Solve 5*j**2 + 78*j**2 - 44*j + 3*j**2 + 8 - 69*j**3 + 18*j**4 = 0.
1/2, 2/3, 2
Let t be (-15)/2*5/(-25). Solve -o + 1/2 - t*o**2 = 0 for o.
-1, 1/3
Find n such that 0*n + 1/8*n**4 - 1/8*n**2 - 1/8*n**5 + 1/8*n**3 + 0 = 0.
-1, 0, 1
Let b(x) be the second derivative of x**9/15120 - x**8/3360 - x**7/2520 + x**6/360 + x**4/12 - 2*x. Let k(t) be the third derivative of b(t). Factor k(g).
g*(g - 2)*(g - 1)*(g + 1)
Let o(s) be the first derivative of -1 - 15/2*s**2 - 4*s**3 - 3/4*s**4 - 6*s. Suppose o(l) = 0. What is l?
-2, -1
Let i(r) be the second derivative of -2*r**6/105 + r**5/35 + r**4/7 - 2*r**3/21 - 4*r**2/7 - 12*r. Let i(d) = 0. Calculate d.
-1, 1, 2
Let l = 16/81 + 2/81. Factor 2/9 - 4/9*w**2 + l*w**5 + 2/9*w + 2/9*w**4 - 4/9*w**3.
2*(w - 1)**2*(w + 1)**3/9
Let g(q) be the third derivative of -q**8/42 + 6*q**7/35 - q**6/3 + q**5/5 + 13*q**2. Suppose g(l) = 0. Calculate l.
0, 1/2, 1, 3
Let d(t) = t**5 - t**4 + t**3 - t**2 + 1. Let b(a) = 2*a**5 - 11*a**4 + 41*a**3 - 47*a**2 + 15*a + 5. Let f(v) = b(v) - 5*d(v). Factor f(g).
-3*g*(g - 1)**3*(g + 5)
Let y = 55 - 164/3. Factor -y*w + 1/3*w**2 - 2/3.
(w - 2)*(w + 1)/3
Suppose 3*f - 9 = -3. Let j(z) be the first derivative of f + 2/3*z**2 + 0*z**3 + 2/3*z - 1/3*z**4 - 2/15*z**5. Factor j(d).
-2*(d - 1)*(d + 1)**3/3
Let j(t) = -t + 13. Let d be j(9). Let c(z) be the first derivative of -1/2*z**d - 1/3*z**3 + 0*z - 2 - 1/5*z**5 + 0*z**2. Determine l, given that c(l) = 0.
-1, 0
Find j such that -2*j**4 + 4/5*j + 6/5*j**5 + 2*j**2 - 2*j**3 + 0 = 0.
-1, -1/3, 0, 1, 2
Factor 2/3*t + 1/3*t**2 + 1/3.
(t + 1)**2/3
Let c(o) be the first derivative of -1/4*o**2 + 0*o - 1 - 1/6*o**3. Factor c(w).
-w*(w + 1)/2
Suppose 1/2*w + 2*w**2 + 0 = 0. Calculate w.
-1/4, 0
Let -41*g**2 + 4*g - 4*g**3 + 20*g**2 + 21*g**2 = 0. Calculate g.
-1, 0, 1
Let y = -1 - -3. Let g = 4 - y. Suppose 3*k**3 + 2*k**5 - g*k + k**3 - 4*k**5 = 0. Calculate k.
-1, 0, 1
Let j(d) = 3*d**3 - 11*d**2 + 9*d - 5. Let l(o) = o**2 - o + 1. Let b(p) = -j(p) - 4*l(p). Solve b(q) = 0 for q.
1/3, 1
Find a, given that 3/2*a**3 + 7/2*a - 1 - 4*a**2 = 0.
2/3, 1
Let w(t) be the first derivative of -2*t**3/5 + 8*t**2/5 + 6*t/5 + 13. Factor w(d).
-2*(d - 3)*(3*d + 1)/5
Let n = 0 - -3. Factor 2*s**2 + 0*s + 2*s - n*s + s**2 - 2*s**3.
-s*(s - 1)*(2*s - 1)
Let u be 92/(-576) - (-4)/18. Let t(h) be the first derivative of 3 + 1/4*h**3 + 1/4*h - 3/8*h**2 - u*h**4. Solve t(v) = 0 for v.
1
Let c(s) be the first derivative of 2*s**3 - 6/5*s**5 - 2*s**2 + s**4 + 0*s + 2. Determine y so that c(y) = 0.
-1, 0, 2/3, 1
Let a = -103 + 1027/10. Let t = a - -29/30. Factor -4/3*n + t + 2/3*n**2.
2*(n - 1)**2/3
Suppose 7 = 5*p - r + 1, -3*p = -r - 2. Find t such that -5*t**2 + 4*t**2 - 16*t + t**2 - 2*t**p - 32 = 0.
-4
Let d be 2/(-1) - (-1 - 20/12). Let -2/3*b**4 + d*b**5 + 0*b + 0 + 2/3*b**2 - 2/3*b**3 = 0. What is b?
-1, 0, 1
Let l(d) be the second derivative of -d**8/33600 