hat is s?
-1, 0, 2
Let l(r) = r**3 - 6*r**2 + 16*r + 28. Let z(x) = 6*x**3 - 42*x**2 + 111*x + 195. Let j = 54 + -27. Let q(f) = j*l(f) - 4*z(f). Factor q(y).
3*(y - 2)*(y + 2)**2
Let o(k) = k**2 - k + 1. Let w(m) = 34*m**2 - 34*m + 28. Let v(j) = 11*j**2 - 11*j + 9. Let l(t) = -10*v(t) + 3*w(t). Let s(f) = -l(f) - 6*o(f). Factor s(h).
2*h*(h - 1)
Let 36/11*t**2 + 16/11 + 14/11*t**3 + 2/11*t**4 + 40/11*t = 0. What is t?
-2, -1
Factor y**2 - 3*y + 3*y**3 + 10*y**2 - 3*y - 4*y**2.
y*(y + 3)*(3*y - 2)
Let r(f) = -f**4 - 3*f**3 - 5*f**2 - 3*f + 2. Let g(j) = -2*j**4 - 6*j**3 - 11*j**2 - 7*j + 5. Let c(t) = 2*g(t) - 5*r(t). Suppose c(s) = 0. What is s?
-1, 0
Let z(w) = 6*w**2 + 14*w + 10. Let g(i) = -25*i**2 - 55*i - 39. Let l = -16 + 14. Let d(r) = l*g(r) - 9*z(r). Suppose d(s) = 0. Calculate s.
-3, -1
Let o be 25/30*1/15. Let a(j) be the second derivative of 0 - 1/30*j**6 + 1/6*j**3 + o*j**4 - 1/126*j**7 - j + 1/6*j**2 - 1/30*j**5. Factor a(c).
-(c - 1)*(c + 1)**4/3
Suppose 10*y + 14 = 14. Solve y*d + 0 - 1/5*d**2 = 0.
0
Let w(b) = -b**3 - 2*b**2 + 4*b - 4. Let r be w(-4). Let q be (1 - -2)*1/r. Find c such that 0 + 1/4*c**2 + q*c = 0.
-1, 0
Suppose 3*w - 4*y = 2, 4*y - 4 + 0 = 2*w. Let u = -4 + w. Solve 4 - 8*l**4 - 16*l + 6*l + 8*l**3 + 3*l**2 - 4*l**2 + u*l**5 + 5*l**2 = 0.
-1, 1, 2
Let q be (-2 + -2)*15/(-12). Factor -3*f**4 - 4*f**q + 3*f**5 + 3*f**2 + 4*f**5 + 0*f**2 - 3*f**3.
3*f**2*(f - 1)**2*(f + 1)
Let h(t) be the first derivative of -7*t**4/16 - 4*t**3/3 - 11*t**2/8 - t/2 - 5. Factor h(s).
-(s + 1)**2*(7*s + 2)/4
Let c(m) = -3*m**3 + 7*m**2 - 5*m - 1. Let f(q) = 2*q**3 - 6*q**2 + 6*q + 2. Let y(a) = 6*c(a) + 7*f(a). Factor y(x).
-4*(x - 2)*(x + 1)**2
Let c(y) = 7*y**4 + y**3. Let j(r) = -6*r**4 - r**3. Let a(h) = 5*c(h) + 6*j(h). Find g such that a(g) = 0.
-1, 0
Let o(a) be the second derivative of a**6/135 - 7*a**5/90 + a**4/3 - 20*a**3/27 + 8*a**2/9 - 2*a + 27. Factor o(u).
2*(u - 2)**3*(u - 1)/9
Let m be 2 + (-3 - -5) + (-64)/18. Factor -2/3*w - m - 2/9*w**2.
-2*(w + 1)*(w + 2)/9
Let l = 17/10 + -133/90. Factor 0 - 2/9*z**3 + 2/9*z**2 + 2/9*z**5 - l*z**4 + 0*z.
2*z**2*(z - 1)**2*(z + 1)/9
Let x = 1 - -1. Suppose -12 = f - 5*f. Factor 0*c**x + 0*c + 0 + 1/2*c**f.
c**3/2
Let h(d) be the second derivative of -d**7/42 + d**6/30 + d**5/10 - 6*d. Determine b, given that h(b) = 0.
-1, 0, 2
Let v(k) be the first derivative of -k**5/30 - k**4/6 - 5*k**3/18 - k**2/6 - 61. Factor v(g).
-g*(g + 1)**2*(g + 2)/6
Suppose -9*s = -7*s. Let h(o) be the third derivative of 0 - 2*o**2 + 1/12*o**4 + s*o**3 + 1/12*o**5 + 1/30*o**6 + 1/210*o**7 + 0*o. Let h(b) = 0. What is b?
-2, -1, 0
Suppose -3*a + 2 = -4. Factor 2*z + a*z - 8*z**2 + 4*z**3 + 2*z - 2*z.
4*z*(z - 1)**2
Factor 0*a + 1/5*a**3 - 2/5*a**2 + 0.
a**2*(a - 2)/5
Let z = 37/21 + -10/7. Let x(k) be the first derivative of 0*k - 2 - 1/6*k**6 + 3/5*k**5 - 3/4*k**4 + 0*k**2 + z*k**3. Determine q so that x(q) = 0.
0, 1
Let y(x) be the second derivative of x**7/21 - x**5/5 + x**3/3 + 9*x. Factor y(o).
2*o*(o - 1)**2*(o + 1)**2
Let j(w) = 4*w**3 + w**2 + 4*w - 3. Let n(b) = 17*b**3 + 5*b**2 + 17*b - 13. Let m(z) = 26*j(z) - 6*n(z). Factor m(p).
2*p*(p - 1)**2
Factor 36*s**3 + 398 - 360*s + 63*s**2 - 39*s**3 - 98.
-3*(s - 10)**2*(s - 1)
Let z(m) = 4*m**2 - 5*m - 6. Let b(w) = -7*w**2 + 10*w + 12. Let g(v) = -3*b(v) - 5*z(v). Factor g(f).
(f - 6)*(f + 1)
Let r(h) = -h**2 + h. Let i be r(0). Factor i + 1/2*t**2 + 3/2*t.
t*(t + 3)/2
Let f(m) be the third derivative of m**5/12 + 5*m**4/12 - 5*m**3/2 + 20*m**2. Factor f(t).
5*(t - 1)*(t + 3)
Let p(y) be the first derivative of -y**4/4 + 8*y**3/3 - y**2/2 + 10*y + 3. Let v be p(8). Factor 2*t**3 + 2*t**2 - 2*t**2 - t - 2*t**v - t + 2*t**4.
2*t*(t - 1)*(t + 1)**2
Let k(u) be the third derivative of -u**5/240 + u**4/32 - u**3/12 + 3*u**2. Determine s, given that k(s) = 0.
1, 2
Suppose 4*h - 7 - 5 = 0. Let w(l) be the second derivative of 0 + 0*l**2 + 1/80*l**5 + 1/12*l**4 - l - 1/30*l**6 - 1/24*l**h. Find v such that w(v) = 0.
-1, 0, 1/4, 1
Let p = -176 + 1586/9. Factor 4/9*b**2 + 0 - 2/9*b - p*b**3.
-2*b*(b - 1)**2/9
Let f(o) be the third derivative of o**7/70 + o**6/40 - 3*o**5/20 - 5*o**4/8 - o**3 - 15*o**2. Solve f(w) = 0.
-1, 2
Let m(o) be the first derivative of o**4/30 - o**2/5 - o + 2. Let d(n) be the first derivative of m(n). What is h in d(h) = 0?
-1, 1
Factor -16*y**2 + 32/5*y**3 + 66/5*y - 18/5.
2*(y - 1)*(4*y - 3)**2/5
Let u be 3/(2 - (5 - 4)). Let v(n) be the first derivative of 9/5*n**5 + 1/2*n**4 - 2 - n - 8/3*n**u + 2/3*n**6 - 3*n**2. Suppose v(i) = 0. Calculate i.
-1, -1/4, 1
Let l(q) = 17*q**4 + 9*q**3 + 13*q**2 - 13. Let m(g) = -4*g**4 - 2*g**3 - 3*g**2 + 3. Let i(f) = -6*l(f) - 26*m(f). Factor i(t).
2*t**3*(t - 1)
Let n(w) = -7*w**3 - 5*w**2 - w. Let g(y) = -76*y**3 - 56*y**2 - 12*y. Let q(j) = -3*g(j) + 32*n(j). Factor q(v).
4*v*(v + 1)**2
Let d = -6737/21 - -321. Let a(w) be the first derivative of 8/35*w**5 - 1/2*w**4 + 0*w + d*w**3 + 1/7*w**2 + 2. Find g such that a(g) = 0.
-1/4, 0, 1
Let i(n) = -4*n**4 - 2*n**3 - 3*n**2 + 2*n - 2. Let p(t) = -t**4 - t**2 - 1. Let j(b) = -i(b) + 3*p(b). Solve j(u) = 0.
-1, 1
Let -5*s**4 + 60*s**3 + 3*s - 5*s**5 + 7*s - 45*s**3 + 25*s**2 = 0. What is s?
-1, 0, 2
Let p be (-45)/(-12) + 6/(-8). Solve -p*z**3 - z + z - 3*z**2 + 15*z**3 = 0.
0, 1/4
Suppose -a - 2 = -2*f, -5*f + 4*a + a = -10. Let m = 5 - f. Factor -3/5*j**4 + 0*j + 0 + 0*j**2 + 2/5*j**3 + 1/5*j**m.
j**3*(j - 2)*(j - 1)/5
Let g = 397/5 - 7331/90. Let u = -14/9 - g. Factor 0*s**3 + u*s**2 + 0*s - 1/2*s**4 + 0.
-s**2*(s - 1)*(s + 1)/2
Suppose -4*g + 7*g - 9 = 0. Let l(x) = 1 + 2*x**3 - g*x + 3 - x. Let a(j) = -5*j**3 - j**2 + 11*j - 11. Let p(c) = 4*a(c) + 11*l(c). Factor p(w).
2*w**2*(w - 2)
Let w(i) be the second derivative of 0 + 9*i + 1/5*i**3 + 1/315*i**7 + 2/15*i**2 + 8/45*i**4 + 2/75*i**6 + 7/75*i**5. Let w(p) = 0. Calculate p.
-2, -1
Let o(a) be the third derivative of 0*a + 0 - 1/40*a**6 + 7/100*a**5 - 19/350*a**7 - a**2 + 1/20*a**4 + 3/112*a**8 + 0*a**3. Solve o(i) = 0.
-2/5, -1/3, 0, 1
Let w(t) be the second derivative of -1/24*t**4 + 0 - 1/2*t**2 - t - 1/4*t**3. Factor w(a).
-(a + 1)*(a + 2)/2
Let y be ((-1)/(-5))/(9/5418). Let b = y - 120. Factor -b*n**2 + 2/5*n + 0.
-2*n*(n - 1)/5
Let z(o) = -o**3 - 3*o**2 - 3. Let v(c) = -8*c**3 - 28*c**2 - 28. Let g(d) = -3*v(d) + 28*z(d). Factor g(p).
-4*p**3
Factor 0 + q + 1/3*q**2.
q*(q + 3)/3
Let o = -4 + 9. Let b be o/2 + (-3)/(-6). Factor 2/5 + 0*s**b - 4/5*s**2 + 0*s + 2/5*s**4.
2*(s - 1)**2*(s + 1)**2/5
Suppose f + 3*f = 0. Suppose 0 = -5*p + 2*l + 5, 4*p - 2*l + 7*l - 37 = f. Factor -2/3*k**2 - 1/3*k - 1/3*k**p + 0.
-k*(k + 1)**2/3
Let n be (0 - 0) + 16/12. Let o be 80/(-36)*(-6)/5 - 2. Factor -n*y**3 - 2/3 + 5/3*y - 1/3*y**5 - o*y**2 + 4/3*y**4.
-(y - 2)*(y - 1)**3*(y + 1)/3
Let u = -3/7 + 17/21. Let l = 2/7 + u. Factor l - 8/3*n + 8/3*n**2.
2*(2*n - 1)**2/3
Let a(k) be the third derivative of k**6/1260 - k**5/210 + k**4/84 - k**3/6 + 4*k**2. Let c(v) be the first derivative of a(v). Factor c(u).
2*(u - 1)**2/7
Let n = 0 - -2. Suppose v - 3 = w, -n*w - 4 = 5*v - 12. Solve 4/3*z + 0 - 10/3*z**v = 0 for z.
0, 2/5
Let u(x) be the first derivative of x**4/3 - 8*x**3/3 + 6*x**2 - 6*x + 5. Let y(q) be the first derivative of u(q). Factor y(d).
4*(d - 3)*(d - 1)
Let r(a) = -12*a**4 - 8*a**3 + 5*a**2 - 9*a. Let f(v) = v**4 - v**2 + v. Let t(x) = -18*f(x) - 2*r(x). Factor t(j).
2*j**2*(j + 2)*(3*j + 2)
Let d be (1 - -1) + 0 - -1. Suppose -1 = -5*b + 9. Find w, given that -b*w**4 - 2*w**4 - 3*w**2 + 2*w**2 + 4*w**d = 0.
0, 1/2
Let a(r) = -r**4 + r**3 + r**2 - r + 1. Let i(d) = -d**4 + 13*d**3 + 4*d**2 - 16*d + 4. Let o(u) = 4*a(u) - i(u). Factor o(v).
-3*v*(v - 1)*(v + 2)**2
Let r(u) be the third derivative of u**6/480 - u**5/60 + 5*u**4/96 - u**3/12 - u**2. Factor r(y).
(y - 2)*(y - 1)**2/4
Let y(r) be the second derivative of 0*r**2 + 0*r**4 + 2*r + 0 - 1/30*r**5 - 2/135*r**6 + 1/27*r**3. Determine l so that y(l) = 0.
-1, 0, 1/2
Let g be (-2)/(10/(-4) - -2). Suppose -2*y + 4 + 0 = 0. Let -k**3 + 0 - y + 9*k - g - 2*k**3 = 0. What is k?
-2, 1
Factor -9*y + 0*y**2 + 2*y**2 + 11*y.
2*y*(y + 1)
Let o(l) = 40*l - 77. Let d be o(2). Let 1/3*h**5 + 2/3*h**4 - 2/3*h**2 - 1/3*h + 0*h**d + 0 = 0. Wh