late w.
1, 2
Let h be ((-6)/16)/(1/(-92)). Let i = h - 33. Find q such that -q**2 - 1/2 + i*q = 0.
1/2, 1
Let t(o) be the first derivative of o**6/18 + 4*o**5/15 + o**4/6 - 4*o**3/9 - o**2/2 + 1. Factor t(h).
h*(h - 1)*(h + 1)**2*(h + 3)/3
Let p = -6 - -5. Let w = p - -4. Factor 3*z - z - w*z - z**2.
-z*(z + 1)
Let g(d) be the first derivative of 0*d - 9/5*d**5 + 7 - d**3 - 3*d**4 + 0*d**2. Let g(n) = 0. Calculate n.
-1, -1/3, 0
Let l be (-4 + -10 - -7) + 9. Suppose -8/3 - l*r + 2/3*r**2 = 0. Calculate r.
-1, 4
Let 0*q**3 + 0*q - 2/11*q**5 - 8/11*q**2 + 0 + 6/11*q**4 = 0. Calculate q.
-1, 0, 2
Let v(f) be the first derivative of -7*f**4/20 - 19*f**3/15 - 4*f**2/5 + 4*f/5 + 8. Determine h so that v(h) = 0.
-2, -1, 2/7
Let i(y) be the second derivative of -y**7/42 - y**6/15 - y**5/60 + y**4/12 + y**2/2 - y. Let q(j) be the first derivative of i(j). Let q(c) = 0. Calculate c.
-1, 0, 2/5
Factor -3*j**2 + 0 - 3/2*j**3 + 3/2*j**4 + 0*j.
3*j**2*(j - 2)*(j + 1)/2
Solve -11/3*p**3 + 0*p + 0 - 2/3*p**2 - 3*p**4 = 0 for p.
-1, -2/9, 0
Let 10/9*m**2 + 14/9 + 26/9*m - 2/9*m**3 = 0. Calculate m.
-1, 7
Let v(h) = 4*h**2 + 2*h - 5. Let n(t) = 3*t**2 + t - 4. Let a(w) = 3*n(w) - 2*v(w). Factor a(r).
(r - 2)*(r + 1)
Let v(n) be the second derivative of -n**7/14 + n**6/5 - n**4/2 + n**3/2 - 2*n. Factor v(i).
-3*i*(i - 1)**3*(i + 1)
Suppose 7*s = 6*s + 5. Let t(v) be the second derivative of -1/9*v**3 + 1/3*v**2 + 0 + 1/30*v**s - v - 1/18*v**4. Factor t(r).
2*(r - 1)**2*(r + 1)/3
Let y(b) be the first derivative of -b**4/3 - 2*b**3/3 - 3*b - 1. Let i(t) be the first derivative of y(t). Let i(l) = 0. Calculate l.
-1, 0
Solve -6*x + 28*x**2 + 3*x + 12*x**3 - 21*x = 0.
-3, 0, 2/3
Let t(o) be the third derivative of 2/105*o**7 + 0 - 1/84*o**8 + 0*o**5 + 0*o + 0*o**6 + 0*o**3 + 5*o**2 + 0*o**4. Determine u so that t(u) = 0.
0, 1
Let c be (-2)/(-10) + 183/35. Let 16/7*g + 24/7*g**3 + 2/7 + c*g**2 = 0. Calculate g.
-1, -1/3, -1/4
Factor 9/2 + 35*x**2 + 93/4*x + 49/4*x**3.
(x + 2)*(7*x + 3)**2/4
Determine b so that 1/3*b**2 - 4*b + 12 = 0.
6
Factor 22*m**4 - 56*m**4 + 5*m**2 + 22*m**4 + 17*m**4 + 10*m**3.
5*m**2*(m + 1)**2
Let c(r) be the first derivative of 5*r**4/24 - 2*r**3/9 - 7*r**2/12 + r - 63. Solve c(h) = 0 for h.
-6/5, 1
Let g = -29 - -436/15. Let b(p) be the second derivative of -2*p - g*p**5 + 0 + 0*p**2 - 1/6*p**4 + 2/9*p**3 + 1/15*p**6. Solve b(f) = 0 for f.
-1, 0, 2/3, 1
Let n(p) be the third derivative of -p**5/24 + 5*p**4/48 - 22*p**2. Factor n(z).
-5*z*(z - 1)/2
Let q(n) = n**2 + 7*n - 6. Let o be q(-8). Factor -o*c**4 + 14*c - 2*c**2 + 5*c**2 + 10*c**3 - 21*c**2 - 4.
-2*(c - 2)*(c - 1)**3
Let g(a) = -7*a**2 + 23*a - 4. Let z be g(3). Let m(t) be the first derivative of -1 + 1/2*t**z - 1/3*t**3 + 0*t - 1/4*t**4 + 1/5*t**5. What is s in m(s) = 0?
-1, 0, 1
Let h(l) = 3*l**2 - 85*l - 299. Let m(u) = 2*u**2 - 42*u - 150. Let n(q) = 6*h(q) - 11*m(q). Factor n(z).
-4*(z + 6)**2
Let t(z) be the first derivative of z**9/1008 - z**8/140 + 3*z**7/140 - z**6/30 + z**5/40 + 5*z**3/3 + 4. Let o(v) be the third derivative of t(v). Factor o(d).
3*d*(d - 1)**4
Let b(k) be the second derivative of -6/5*k**5 + 56/15*k**6 - 3/4*k**4 + 0*k**2 + 3*k + 1/3*k**3 + 0. Let b(d) = 0. What is d?
-2/7, 0, 1/4
Let f be (-24)/6 - -1*2. Let z be (2 - 5)*f/9. Find d, given that 1/3 + 1/3*d**2 + z*d = 0.
-1
Let d(o) = o**2 - o. Let c(r) = 12*r**2 - 5*r + 9. Let w(p) = -4*c(p) + 44*d(p). Factor w(f).
-4*(f + 3)**2
Let x = 169 - 167. Find q such that 4/3*q + 2/3*q**x - 2 = 0.
-3, 1
What is g in 24/5*g + 26/5*g**2 + 2/5*g**4 + 8/5 + 12/5*g**3 = 0?
-2, -1
Solve -2*l**4 + 0*l**4 + 2*l**5 + 2*l**2 + 3*l**3 - l**3 - 4*l**5 = 0.
-1, 0, 1
Factor 0*a + 8/9*a**2 + 0 - 4/9*a**4 + 4/9*a**3.
-4*a**2*(a - 2)*(a + 1)/9
Let v = 6 - 4. Factor 1 + 0*f**4 + 1 - v*f**4 - 4*f**3 + 4*f.
-2*(f - 1)*(f + 1)**3
Let 3*o - 27/2*o**2 + 0 = 0. Calculate o.
0, 2/9
Let m be (-2)/(-4 - -2)*-3. Let a be -1*(3 + m)/(-1). Factor 0 - 2/3*y**2 + a*y.
-2*y**2/3
Let l = -21 - -14. Let q = l - -15/2. Suppose 0 + 0*o**2 + q*o**3 - 1/2*o = 0. Calculate o.
-1, 0, 1
Suppose 4*y + 2 - 14 = 0. Suppose -5*d + b = -21, -5*d + 26 = -y*b + 3. Find r, given that -2/7*r**3 + 0*r + 2/7*r**d + 0*r**2 + 0 = 0.
0, 1
Let x(t) be the second derivative of t**5/30 + t**4/6 + t**3/3 + t**2 - 2*t. Let v(q) be the first derivative of x(q). Determine y, given that v(y) = 0.
-1
Let r(g) be the first derivative of 3*g**6/8 + 39*g**5/20 + 57*g**4/16 + 11*g**3/4 + 3*g**2/4 - 7. Find l such that r(l) = 0.
-2, -1, -1/3, 0
Let o(y) be the third derivative of -2*y**7/105 + y**6/3 - 12*y**5/5 + 9*y**4 - 18*y**3 + y**2. Suppose o(w) = 0. Calculate w.
1, 3
Let w(n) = 3*n**3 - 7 - n**4 + 2 + n - n**3 + n**2 - 3*n**3. Let r(l) = -1. Let v = -18 + 13. Let q(c) = v*r(c) + w(c). Find h such that q(h) = 0.
-1, 0, 1
Determine v, given that -3/5*v**3 + 3/5*v**2 + 3/5*v - 3/5 = 0.
-1, 1
Let u(k) be the second derivative of k**5/40 + k**4/16 + k**2 + 6*k. Let o(b) be the first derivative of u(b). Factor o(t).
3*t*(t + 1)/2
Let l(s) = 3*s**2 - 3*s + 3. Let x be l(1). Suppose 3/5*n**4 + 18/5*n**2 - 12/5*n**x + 3/5 - 12/5*n = 0. Calculate n.
1
Let y(k) = -k**5 - 5*k**3 - 6*k**2 + 6*k + 6. Let c(d) = 2*d**5 + 15*d**3 + 17*d**2 - 17*d - 17. Let n(t) = -6*c(t) - 17*y(t). Factor n(z).
5*z**3*(z - 1)*(z + 1)
Let u(z) be the first derivative of 0*z + 1/9*z**2 - 2/27*z**3 - 1. Factor u(s).
-2*s*(s - 1)/9
Let l = 122 + -118. Let i(w) be the first derivative of -1/5*w**2 + 0*w + 3 + 1/5*w**l + 0*w**5 - 1/15*w**6 + 0*w**3. Factor i(d).
-2*d*(d - 1)**2*(d + 1)**2/5
Suppose -2*n + 4*u - 15 = u, -5*n - 4*u = -20. Suppose n = 3*l - 8*l + 10. Factor 6/5*o**3 + 2/5*o + 0 + 2/5*o**4 + 6/5*o**l.
2*o*(o + 1)**3/5
Let n(f) = -f**5 - f**4 - f**3 - f**2 + f - 1. Let a(w) = -11*w**5 - 11*w**4 + 4*w**3 + 4*w**2 + w - 11. Let k(g) = -a(g) + 6*n(g). Factor k(m).
5*(m - 1)**2*(m + 1)**3
Let g(x) = x**2 + 2*x + 2. Let a be g(-3). Determine o so that -2*o**4 + 3*o**4 + 15*o**5 - 16*o**a = 0.
0, 1
Let l = 4 + -31. Let u = l + 27. Find w such that 2/5*w + u - 2/5*w**2 = 0.
0, 1
Let s(y) = -y - 1. Let o(c) = -5*c**2 - 11*c + 4. Let w(d) = -o(d) + 6*s(d). Factor w(l).
5*(l - 1)*(l + 2)
Let p(w) = 5*w**2 - 32*w - 40. Let l(i) = 9*i**2 - 63*i - 81. Let v(x) = -6*l(x) + 11*p(x). Let z(n) = 27*n + 45. Let c(j) = 3*v(j) - 2*z(j). Factor c(s).
3*(s + 4)**2
Let g = 6 + -1. Let a(y) be the first derivative of -1/4*y + 1/6*y**3 + 1/8*y**2 - 1 - 1/8*y**4 + 1/24*y**6 - 1/20*y**g. Factor a(w).
(w - 1)**3*(w + 1)**2/4
Let d(y) = -17*y**2 - 7*y**3 + 2*y - 10 - 30*y + 2*y. Let n(z) = 21*z**3 + 52*z**2 + 77*z + 29. Let u(o) = -17*d(o) - 6*n(o). What is h in u(h) = 0?
-2, -1, -2/7
Let s be ((-10)/16 + 1)*8. Let 2*v + 2*v**s + 1/2*v**4 + 1/2 + 3*v**2 = 0. What is v?
-1
Suppose -2*u = g - 10 - 3, 28 = g + 5*u. Suppose 0 = 5*x - 5*a - 60, 2*x - 12 = -4*a + 2*a. Solve -5*b**g - 4*b**2 + 11*b + 4 + 3*b**3 - x*b = 0 for b.
-2, -1, 1
Let m(l) = 5*l**3 - l. Let h be m(1). Suppose h = -n + 3*n. Determine x, given that -2/3*x**n + 2/3 + 0*x = 0.
-1, 1
Let c(k) = -k**2 - 12*k + 3. Let u be c(-4). Let z be 2*(-3 + u/11). Let 2/11 + 2/11*q**4 - 4/11*q**5 + 8/11*q**3 - z*q**2 - 4/11*q = 0. What is q?
-1, 1/2, 1
Suppose -3*x = -2 + 5. Let f(c) = -4*c - 8*c**2 - 2*c + 4*c - 6. Let r(i) = i**2 + i + 1. Let o(t) = x*f(t) - 6*r(t). Determine q, given that o(q) = 0.
0, 2
Let k(l) be the second derivative of 0*l**2 + 0 - 1/6*l**3 - 3/10*l**5 - 2/15*l**6 - 1/3*l**4 - 1/42*l**7 - 2*l. Suppose k(f) = 0. What is f?
-1, 0
Suppose -3*k = -3*w + 6, -5*w + 2*k = 4 - 5. Let g be (18/15)/(w/(-60)). Determine d, given that -d + 2*d**2 + 3*d - g*d**5 - 6*d + 76*d**3 - 2*d**4 = 0.
-1, -1/4, 0, 2/9, 1
Let m(s) be the third derivative of -s**5/60 - s**2. Find t, given that m(t) = 0.
0
Let -1/4*l**4 + 1 + 1/4*l**2 + 5/4*l**3 - 2*l - 1/4*l**5 = 0. What is l?
-2, 1
Let u(w) = w**4 - 5*w**3 + 2*w**2 + 5*w + 3. Let b(y) = -2*y**4 + 6*y**3 - 2*y**2 - 6*y - 4. Let g(o) = 3*b(o) + 4*u(o). Suppose g(t) = 0. What is t?
-1, 0, 1
Find m, given that -6/5*m - 8/5*m**3 + 28/5*m**2 + 14/5*m**5 - 24/5*m**4 - 4/5 = 0.
-1, -2/7, 1
Let y(g) = -11*g**4 + 5*g**3 + 13*g**2 - 5*g - 8. Let l(a) = 12*a**4 - 6*a**3 - 12*a**2 + 6*a + 9. Let u(p) = 2*l(p) + 3*y(p). Suppose u(i) = 0