- 2/3*u + g*u**3 = 0. What is u?
-1, 0, 1
Solve -1/2*y**4 - 1/2*y - 1 + 1/2*y**3 + 3/2*y**2 = 0 for y.
-1, 1, 2
Factor -4/5*w**2 + 1/5*w**3 + w - 2/5.
(w - 2)*(w - 1)**2/5
Let f be 2 + 16/(-6) - (-161)/84. Factor -1/2 + f*l - l**2 + 1/4*l**3.
(l - 2)*(l - 1)**2/4
Let o(j) be the third derivative of 1/30*j**6 - 1/35*j**7 - 1/4*j**4 - 5*j**2 + 1/3*j**3 + 1/15*j**5 + 0 + 0*j + 1/168*j**8. Factor o(h).
2*(h - 1)**4*(h + 1)
Let m = 171 - 1165/7. Suppose 18/7*y**2 + 58/7*y**3 + 8/7 - m*y + 30/7*y**5 - 82/7*y**4 = 0. What is y?
-2/3, 2/5, 1
Let c(w) be the first derivative of 1/48*w**4 - 1/2*w**2 + 0*w + 0*w**3 + 1/120*w**5 - 1. Let b(v) be the second derivative of c(v). Factor b(u).
u*(u + 1)/2
Let n be (2/(-10))/(8/(-10)). Suppose -n*l**2 - 3/4*l - 1/2 = 0. Calculate l.
-2, -1
Let s = 4 - 2. Factor 5*t**3 + 0*t + t**2 - s*t - 4*t**3 + 0*t**2.
t*(t - 1)*(t + 2)
Let n(o) = -o**3 - 6*o**2 + 3*o + 1. Let u(r) = 6*r**2 - 4*r. Let p(b) = -2*n(b) - 3*u(b). Factor p(v).
2*(v - 1)**3
Let y be 1*1/2*4. Suppose -3*r**2 - r**y + 2*r - r**5 + 4*r**4 - r**5 = 0. What is r?
-1, 0, 1
Suppose -4*a + a + 12 = 0. Suppose -4*h + a = -8. Factor 18/7*m**2 + 0 + 2*m**h + 4/7*m.
2*m*(m + 1)*(7*m + 2)/7
Let b be (4/6)/((-3)/(-9)). Suppose -h + b + 1 = 0. Factor 2/5*u**5 + 2/5*u**4 - 2/5*u**2 + 0 - 2/5*u**h + 0*u.
2*u**2*(u - 1)*(u + 1)**2/5
Let a(w) = w**5 - w**3 - w**2 + w. Let y(u) = 52*u**5 + 60*u**4 - 60*u**3 - 60*u**2 + 8*u. Let v(c) = 16*a(c) - y(c). Suppose v(o) = 0. Calculate o.
-2, -1/3, 0, 1
Suppose -4*o - 5*s + 22 = 0, 5*o - s + 0*s = 13. Let r be (-9)/o*(-1 + 0). Factor 0 + 0*g - 1/3*g**r - 1/3*g**5 + 0*g**2 - 2/3*g**4.
-g**3*(g + 1)**2/3
Let s(l) be the first derivative of 1/20*l**5 - 1/2*l**2 + 2 - 1/6*l**3 + 1/12*l**4 - l. Let b(g) be the first derivative of s(g). Factor b(j).
(j - 1)*(j + 1)**2
Let y(s) be the third derivative of s**7/105 + s**6/20 + s**5/15 + 3*s**2. Let y(m) = 0. Calculate m.
-2, -1, 0
Suppose g = -0*g + 4*n + 3, 0 = 5*g + n - 15. Suppose -2*x - 4*i + g = 3*x, 15 = -5*i. Determine c, given that c**4 - x*c**3 - 2*c**4 + 0*c**3 + 2*c**3 = 0.
-1, 0
Let i be ((-75)/1)/5*(-3)/15. Factor 4/9*s**i - 2/9*s + 2/9*s**2 + 0.
2*s*(s + 1)*(2*s - 1)/9
Let n be 63/42 - 2/(-4). Factor 8/7 - 8/7*z + 2/7*z**n.
2*(z - 2)**2/7
Let m = 35 - 22. Let g = m + -13. Factor g + 0*q + 3/2*q**4 - 3/2*q**2 + 0*q**3.
3*q**2*(q - 1)*(q + 1)/2
Let u(q) = 2*q**2 + 7*q + 5. Let p be u(-3). Let t(n) be the third derivative of 1/240*n**5 + 1/48*n**4 + 0 + 0*n + 1/24*n**3 - 3*n**p. Solve t(w) = 0 for w.
-1
Let u(d) be the second derivative of d**5/4 + 5*d**4/3 + 5*d**3/2 + 6*d. Solve u(i) = 0 for i.
-3, -1, 0
Let m(p) = -p**4 - p - 1. Let f(v) = 4*v**5 + 16*v**4 - 12*v**3 + 8*v + 8. Let h(y) = -f(y) - 8*m(y). Suppose h(q) = 0. What is q?
-3, 0, 1
Let n(q) be the first derivative of 2*q**4 - 2*q**3/3 - 5*q + 5. Let d(i) = 9*i**3 - 3*i**2 - 6. Let l(r) = 5*d(r) - 6*n(r). Let l(k) = 0. What is k?
-1, 0
Let s(w) be the second derivative of -1/105*w**7 + 0*w**4 + 0 + 0*w**3 - 1/50*w**5 + 0*w**2 + 2/75*w**6 - 2*w. Factor s(l).
-2*l**3*(l - 1)**2/5
Let k(u) = 40*u**2 + 57*u + 2. Let g(r) = -r**2 + 2*r. Let o(w) = -10*g(w) + 2*k(w). Factor o(h).
2*(h + 1)*(45*h + 2)
Find n, given that -4*n - n - 37*n**3 + 41*n**3 + n = 0.
-1, 0, 1
Let r(o) = -o**2 - 1. Let u(w) = 4*w**4 + 11*w**3 + w**2 + w - 9. Let q(s) = 24*r(s) - 3*u(s). Factor q(t).
-3*(t + 1)**3*(4*t - 1)
Let z(l) be the first derivative of -2/15*l**5 + 2/3*l + 0*l**3 - 2/3*l**2 + 1/3*l**4 + 2. Let z(g) = 0. Calculate g.
-1, 1
Let c(d) be the third derivative of 2*d**7/105 + d**6/8 + 2*d**5/15 - d**4/8 - 12*d**2. Let c(u) = 0. Calculate u.
-3, -1, 0, 1/4
Let w(p) = -4*p**3 + 5*p**2 - 16*p + 9. Let a(z) = -3*z**3 + 6*z**2 - 15*z + 8. Let s(v) = -6*a(v) + 4*w(v). Solve s(h) = 0.
1, 6
Let r(q) be the first derivative of -q**4/16 - q**3/6 - q**2/8 + 2. Factor r(w).
-w*(w + 1)**2/4
Factor 0 + 0*g + 1/2*g**5 - 3/2*g**4 + 3/2*g**3 - 1/2*g**2.
g**2*(g - 1)**3/2
Let u(v) be the first derivative of 3*v**4/20 + 2*v**3/5 + 7. Solve u(w) = 0 for w.
-2, 0
Let a(g) be the third derivative of g**8/3360 - g**7/560 + g**6/720 + g**5/80 - g**4/24 - g**3 + 6*g**2. Let d(y) be the first derivative of a(y). Factor d(p).
(p - 2)*(p - 1)**2*(p + 1)/2
Suppose 0 = -24*h + 21*h + 9. Let i(z) be the first derivative of 0*z**h - 3/2*z**2 + 1/4*z**4 - 3 - 2*z. Factor i(q).
(q - 2)*(q + 1)**2
Let v(q) be the first derivative of -q**3/18 - q**2/4 + 2*q/3 - 16. Solve v(x) = 0.
-4, 1
Suppose -3*r - t = -8, -3*r - 4 = -r + 3*t. Factor 6*k - k**2 - r*k + 2*k**2.
k*(k + 2)
Solve -1/2*q**2 + 1/2 - 5/4*q**3 + 5/4*q = 0 for q.
-1, -2/5, 1
Let p be (-71 + 75)/((-4)/(-3)). Determine k, given that 1/2*k**p + 0 + 0*k + 0*k**2 + 2*k**4 + 3/2*k**5 = 0.
-1, -1/3, 0
Let i be (-12)/54 - (-24)/27. Factor 0 + 0*x**3 - i*x**5 + 4/3*x**4 + 0*x**2 + 0*x.
-2*x**4*(x - 2)/3
Let f be -2*(-2)/22 + (-1596)/(-418). Factor -6/7*h + 6/7*h**3 + 0 - 3/7*h**2 + 3/7*h**f.
3*h*(h - 1)*(h + 1)*(h + 2)/7
Let k(p) be the third derivative of p**5/390 - 2*p**4/39 + 16*p**3/39 + 5*p**2. Factor k(l).
2*(l - 4)**2/13
Let o(q) be the second derivative of -q**6/540 + q**5/30 - q**4/4 + q**3/6 + 2*q. Let h(t) be the second derivative of o(t). Find v, given that h(v) = 0.
3
Suppose 5*w - 2*k = 8, -2*w = 2*w + 3*k - 11. Factor 0*s**4 + 4*s**2 + 0*s**4 + s**4 + w*s - 2*s**5 - 5*s**4.
-2*s*(s - 1)*(s + 1)**3
Let a(p) = -p**2 - 4*p. Let q(s) = s**3 - s**2 - 1. Let c(m) = -a(m) - q(m). Let u be c(3). Factor 0 + 1/4*i**u + 1/4*i**5 - 1/4*i**3 + 0*i - 1/4*i**2.
i**2*(i - 1)*(i + 1)**2/4
Let n(k) be the first derivative of 35*k**4 - 124*k**3/3 - 16*k**2 + 16*k + 4. Suppose n(r) = 0. Calculate r.
-2/5, 2/7, 1
Factor 28*c - 5*c**2 + 35*c**2 + 2*c**2 - 4*c**5 + 8*c**3 - 17*c**4 + 8 + 9*c**4.
-4*(c - 2)*(c + 1)**4
Let x(b) = -3*b**2 - 4*b + 3. Let u(r) = -3*r + 9*r - 1 - 5*r. Suppose -9 = 3*n, z + z = 2*n + 8. Let y(j) = z*x(j) + 2*u(j). Factor y(f).
-(f + 1)*(3*f - 1)
Find x such that 9/2*x**3 - 4*x**2 + 4*x**4 - 2*x - 5/2*x**5 + 0 = 0.
-1, -2/5, 0, 1, 2
Let -1/3*k**2 - k + 0 = 0. Calculate k.
-3, 0
Factor 2*t**3 - 2*t**2 - 2*t**2 + 8*t**3.
2*t**2*(5*t - 2)
Determine c so that 12*c**2 - 45*c**3 + 93*c**3 - 45*c**3 = 0.
-4, 0
Suppose 0 = 3*o - o + 8. Let x be (-12)/42 - o/14. Solve 0 - 8/3*r**2 + 40/3*r**3 + x*r - 50/3*r**4 = 0 for r.
0, 2/5
Let x(m) be the first derivative of -m**2/2 + 7*m - 9. Let b be x(7). Determine o, given that 2/5*o**2 + 0*o - 8/5*o**3 + 6/5*o**4 + b = 0.
0, 1/3, 1
Let j(l) = 5*l**2 - l + 1. Let q be j(1). Factor 3*a**q - 6*a**5 + 12 + 3*a**4 + 3*a**3 - 3*a**2 - 12.
-3*a**2*(a - 1)**2*(a + 1)
Let t(u) = -u**3 + 8*u**2 + u - 6. Let y be t(8). Let w be (0 + y)*3/3. Suppose -7 + 0*m**w - 2*m**2 + 3 - 6*m = 0. What is m?
-2, -1
Let b(x) = x**2 + x - 1. Let k(z) = -z**3 + 5*z**2 + 5*z - 1. Let h(i) = 5*b(i) - k(i). Let u(t) be the first derivative of h(t). Let u(d) = 0. Calculate d.
0
Let z(u) be the second derivative of u**4/10 - 4*u**3/15 - 4*u**2/5 + 4*u. Let z(x) = 0. What is x?
-2/3, 2
Let b(d) = -3*d**2 + 6*d + 3. Let m(x) = -x**3 + 4*x**2 - 7*x - 4. Let o(a) = -4*b(a) - 3*m(a). Factor o(g).
3*g*(g - 1)*(g + 1)
Let p(x) be the third derivative of x**5/20 - 3*x**4/8 + x**3 - 2*x**2. Factor p(u).
3*(u - 2)*(u - 1)
Suppose -4*z - 5*c = -z - 9, 0 = 2*c. Factor 2*p**4 - 5*p**z + 8*p**3 - 5*p**4 + 3*p**2 - 3*p.
-3*p*(p - 1)**2*(p + 1)
Let y(s) = -14*s**2 + 8. Let a(i) be the first derivative of i**3/3 - i**2/2 - i + 1. Let l = 1 + -2. Let c(j) = l*y(j) - 6*a(j). Factor c(u).
2*(u + 1)*(4*u - 1)
Let n(j) be the third derivative of -j**10/50400 - j**9/6300 - j**8/2800 - 3*j**4/8 + 4*j**2. Let g(c) be the second derivative of n(c). Factor g(r).
-3*r**3*(r + 2)**2/5
Let v be ((-24)/(-15))/((-4)/(-30)). Factor v + 3*l**2 + 0 + 23*l - 11*l.
3*(l + 2)**2
Let c = 726 + -174239/240. Let b(n) be the third derivative of -1/48*n**4 + 0*n**3 + 1/120*n**5 + 3*n**2 + 0*n + 0 + c*n**6 - 1/420*n**7. Factor b(p).
-p*(p - 1)**2*(p + 1)/2
Let t(r) be the first derivative of r**3/9 + r**2/2 + 3. Let t(z) = 0. What is z?
-3, 0
Suppose -r + 4 - 1 = 0, r = 5*c - 2. Let y be (-1 - -3 - c)*2. Factor 5*l**y + 2*l + 4 + 2*l - 4*l**2.
(l + 2)**2
Let q be 1 + -2 - (5 - 10). Let l(x) be the first derivative of -1/4*x**q + 2 