2*x**2 + 0*x + 0. Factor w(h).
2*(3*h - 2)**2
Let p = 167/15 + -54/5. Suppose 1/3*i**3 - 1/3*i**5 - 1/3*i**2 + 0*i + 0 + p*i**4 = 0. What is i?
-1, 0, 1
Let r(l) be the second derivative of -l**7/1155 - l**6/165 - l**5/55 - l**4/33 - l**3/33 - 2*l**2 - 2*l. Let h(w) be the first derivative of r(w). Factor h(s).
-2*(s + 1)**4/11
Suppose -5*w = -18 - 12. Suppose v - w + 2 = 0. Factor 2*g**5 - 5*g**5 + 4*g**v - 11*g**5.
-2*g**4*(7*g - 2)
Suppose 4*r + 0 = 12. Factor 2*f**3 - 3*f**3 - 2*f**3 + 0*f**r + 3*f**5.
3*f**3*(f - 1)*(f + 1)
Let h = -9/31 - -107/155. Suppose 2/5*z - h*z**2 + 0 = 0. What is z?
0, 1
Let s(q) = -9*q**5 - q**4 + 20*q**3 + q**2 - 27*q - 16. Let v(z) = 14*z**5 + 2*z**4 - 30*z**3 - 2*z**2 + 40*z + 24. Let i(k) = -8*s(k) - 5*v(k). Factor i(w).
2*(w - 2)**2*(w + 1)**3
Suppose 4*n + h - 20 = 6*h, 0 = h + 4. Let w(v) be the second derivative of 0*v**2 + 0*v**3 - 1/10*v**5 - 1/6*v**4 + n - 2*v. Factor w(l).
-2*l**2*(l + 1)
Let i(t) = -10*t**4 + 10*t**3 - 6*t**2 + 2*t. Let v(q) = -11*q**4 + 9*q**3 - 5*q**2 + 2*q. Let s(w) = -5*i(w) + 4*v(w). Determine o, given that s(o) = 0.
0, 1/3, 1
Let g(i) be the first derivative of 1/11*i**2 + 2/33*i**3 - 6 - 1/22*i**4 - 2/11*i. Factor g(r).
-2*(r - 1)**2*(r + 1)/11
Let q(v) be the first derivative of -3*v**5/5 - 3*v**4/2 + 3*v**2 + 3*v + 8. Factor q(z).
-3*(z - 1)*(z + 1)**3
Let w = 113 - 109. Let 0 - 3/2*c**2 - 1/2*c**w - 1/2*c - 3/2*c**3 = 0. What is c?
-1, 0
Let q(v) = v**2 + 3*v - 2. Let w be q(-5). Let p = -5 + w. Factor 0*g**2 - 6*g + 2*g**p - 3 + 0*g**2 + 7.
2*(g - 1)**2*(g + 2)
Let n(i) be the third derivative of -i**4/24 - i**3/2 - i**2. Let t be n(-8). Factor -a**t + 2*a**3 + 4*a**2 + 1 - 3*a - 3 - 2*a**4 + 2*a.
-(a - 1)**2*(a + 1)**2*(a + 2)
Let y(p) = -5*p**4 - 11*p**3 + 5*p**2 - p. Let j(r) = 5*r**4 + 10*r**3 - 5*r**2. Let c(m) = -6*j(m) - 5*y(m). Factor c(q).
-5*q*(q - 1)*(q + 1)**2
What is l in -2/7*l**4 - 2/7*l**2 + 0 + 4/7*l**3 + 0*l = 0?
0, 1
Let h(i) be the third derivative of -2*i**2 - 2/3*i**3 + 1/20*i**6 - 1/4*i**4 + 1/30*i**5 + 0 + 1/105*i**7 + 0*i. Find x, given that h(x) = 0.
-2, -1, 1
Let z be (12/21)/(2/7). Suppose -12 = -4*i - 3*o, 6 = -i + 3*i + z*o. Find b, given that b - 4*b**i + b**4 + 3*b**2 + 3*b - 4 + 0 = 0.
-1, 1, 2
Let w be ((1 - 0) + -3)*-7. Suppose -5*q = 4 - w. Solve 0 + q*y**2 - 6/5*y**3 - 4/5*y = 0.
0, 2/3, 1
Suppose -6*c + 5*c = -3*i - 11, 0 = 5*c + 3*i - 19. Find g, given that -g**4 + 4*g**5 - 2*g**c - g**5 = 0.
0, 1
Let q(r) be the first derivative of -5*r**6/12 - 4*r**5 - 15*r**4/2 + 5*r**3/3 + 65*r**2/4 + 15*r + 20. Find m such that q(m) = 0.
-6, -1, 1
Let x(u) be the second derivative of 1/720*u**6 + 0 + 1/3*u**3 - 1/120*u**5 + 0*u**4 + 2*u + 0*u**2. Let p(r) be the second derivative of x(r). Factor p(v).
v*(v - 2)/2
Determine i, given that -3*i**2 - 27*i - 4*i**3 + 23*i + 11*i**2 = 0.
0, 1
Suppose 1/3 - 2/3*g - 1/3*g**2 + 2/3*g**3 = 0. Calculate g.
-1, 1/2, 1
Suppose -4*h = 19 - 3. Let l(c) = -5*c**3 - 7*c**2 + c + 3. Let t(v) = -v**3 - v**2 + v + 1. Let m(q) = h*t(q) + l(q). Factor m(y).
-(y + 1)**3
Factor -1/7*d + 2/7 - 1/7*d**2.
-(d - 1)*(d + 2)/7
Let w = 5 - -3. Factor 3*v**4 + v**3 - 2*v**4 + w*v**2 + 4*v + 4*v**3.
v*(v + 1)*(v + 2)**2
Let t = 0 - 0. Let z(m) be the second derivative of 1/2*m**2 + t + 1/12*m**4 - 1/3*m**3 + m. Suppose z(o) = 0. What is o?
1
Let p = 1021/7475 + -2/325. Let h = p + 17/46. Factor 0 - 2*m**3 - h*m**2 + 1/3*m - 7/6*m**4.
-m*(m + 1)**2*(7*m - 2)/6
Suppose 0 = -u - x + 6 - 0, -2*u = 3*x - 16. What is i in -5 + 9 - i**u - 3 = 0?
-1, 1
Let l = 7 + -5. Let c(f) = f**3 - 3*f**2 + 3*f - 1. Let z be c(l). Determine q so that -z - 3*q + 15/4*q**3 + 1/4*q**2 = 0.
-2/3, -2/5, 1
Let v = 52/25 + -2852/1275. Let x = 3/17 - v. Determine f so that -1/3 + f + x*f**2 - f**3 = 0.
-1, 1/3, 1
Let m = -250 - -1254/5. Factor -2/5*f**3 + m + 4/5*f + 1/5*f**4 - 3/5*f**2.
(f - 2)**2*(f + 1)**2/5
Factor 1/3*s + 0 + 6*s**2 + 27*s**3.
s*(9*s + 1)**2/3
Let u(x) be the second derivative of x**7/168 + 11*x**6/120 + 21*x**5/40 + 9*x**4/8 - 9*x**3/8 - 81*x**2/8 - 4*x. Suppose u(i) = 0. What is i?
-3, 1
Let i(x) = -16*x**4 + 41*x**3 - 29*x**2 + 4*x + 5. Let d(t) = 16*t**4 - 40*t**3 + 28*t**2 - 4*t - 4. Let l(b) = -5*d(b) - 4*i(b). Let l(w) = 0. Calculate w.
0, 1/4, 1
Let i = 342 - 342. Factor 3/2*d**2 - 3*d + 3/2*d**3 + i.
3*d*(d - 1)*(d + 2)/2
Suppose 0 = 2*v + 5*k - 19, 4*v - v - 5*k + 9 = 0. Factor 2*b + 2*b**4 - v*b**2 - b + 2*b**5 - b - 2*b**3.
2*b**2*(b - 1)*(b + 1)**2
What is a in 32/3*a - 2/3*a**2 + 34/3 = 0?
-1, 17
Let o be (-22)/(-4) + (-2)/4. Let a = 7 - o. Let -2*p**3 + 2*p**a - 2/3*p + 2/3*p**4 + 0 = 0. Calculate p.
0, 1
Let p(x) = -x**3 - 8*x**2 - 13*x - 6. Let l be p(-6). Factor 0*f + 2/5*f**3 + 2/5*f**5 - 4/5*f**4 + 0 + l*f**2.
2*f**3*(f - 1)**2/5
Let n(q) = -q**2 - 12*q - 10. Let p(x) = -12*x - 9. Let w(j) = -3*n(j) + 2*p(j). Factor w(y).
3*(y + 2)**2
Let y be 5/12*38/95. Let k(d) be the second derivative of -1/10*d**6 - 1/5*d**5 + y*d**4 + 0 + 1/2*d**2 + 2/3*d**3 + d. Determine w so that k(w) = 0.
-1, -1/3, 1
Let q = -23 + 47/2. Find w, given that -1/2*w**4 + 1/6*w**5 + 0*w + q*w**3 + 0 - 1/6*w**2 = 0.
0, 1
Suppose 1 + 6*w**2 - 4*w**2 + 2*w**2 + w**2 - 6*w = 0. Calculate w.
1/5, 1
Let d(k) = 2*k**3 + 9*k**2 + 3*k - 1. Let a = 4 + 0. Let p(s) = s**2 + a*s + 2*s**3 + 8*s**2 - s**2. Let o(t) = 2*d(t) - 3*p(t). Factor o(n).
-2*(n + 1)**3
Let z(v) be the third derivative of -v**6/1440 - v**5/480 + v**4/48 + 2*v**3/3 + v**2. Let x(c) be the first derivative of z(c). Solve x(b) = 0 for b.
-2, 1
Let z(i) be the third derivative of -i**6/200 + i**4/40 - 2*i**2. Factor z(v).
-3*v*(v - 1)*(v + 1)/5
Let t(w) be the third derivative of 1/60*w**6 + 0*w - 1/3*w**3 + 1/30*w**5 + 0 - 1/12*w**4 + 3*w**2. Factor t(m).
2*(m - 1)*(m + 1)**2
Let z(x) = x**4 + 3*x**3 + 6*x**2 - 4*x - 8. Let q(j) = -2*j**4 - 5*j**3 - 12*j**2 + 8*j + 16. Let a(o) = -2*q(o) - 5*z(o). Factor a(h).
-(h - 1)*(h + 2)**3
Suppose -2*p + 3*o = 0, 0*p - 5*p = 4*o - 46. Let v = -15 - -19. Factor -p - 4*u**2 - u**v + 6 - 4*u**3.
-u**2*(u + 2)**2
Let p(b) be the first derivative of -2/33*b**3 - 1/11*b**2 + 3 + 0*b + 1/22*b**4 + 2/55*b**5. Let p(c) = 0. Calculate c.
-1, 0, 1
Let w(t) be the second derivative of 16*t**6/165 - 12*t**5/55 + 3*t**4/22 - t**3/33 - t. Factor w(s).
2*s*(s - 1)*(4*s - 1)**2/11
Let l(s) = 2*s**3 - 6*s**2 + s + 3. Let o(m) = m + 1. Let f be o(6). Let h(x) = 3*x**3 - 9*x**2 + 2*x + 4. Let v(r) = f*l(r) - 5*h(r). Factor v(w).
-(w - 1)**3
Let r = -1/735 + 1235/147. Let l = 473/70 + -5/14. Find f, given that -18/5*f**3 - l*f - 8/5 - r*f**2 = 0.
-1, -2/3
Let i(w) be the second derivative of -4*w**6/75 + w**5/50 + 2*w**4/15 - w**3/15 + 3*w. What is q in i(q) = 0?
-1, 0, 1/4, 1
Suppose -z - 7*g = -3*g - 19, 4*g = 2*z + 10. Let s be 3 - ((-22)/(-4) - 3). Determine o so that -o**z + s*o - o**2 + 1/2*o**5 + 1/2 + 1/2*o**4 = 0.
-1, 1
Suppose -3*o = -o + 14. Let g = -4 - o. Factor k - 7 + 3 - k**2 - g*k + 3.
-(k + 1)**2
Suppose 21*a - 24*a + 12 = 0. Let u(h) be the third derivative of 0*h + 1/60*h**5 - a*h**2 + 1/24*h**4 + 0*h**3 + 0. Suppose u(v) = 0. What is v?
-1, 0
Let f be -2 - (-3 + 10/12). Let n(x) be the first derivative of 0*x + 1/9*x**3 - 1/12*x**4 + f*x**2 + 2 - 1/15*x**5. Factor n(h).
-h*(h - 1)*(h + 1)**2/3
Let 0*z + 0 - 1/2*z**2 = 0. Calculate z.
0
Let u(h) be the third derivative of h**7/35 - h**6/8 + h**5/5 - h**4/8 + 3*h**2 - 15*h. Factor u(l).
3*l*(l - 1)**2*(2*l - 1)
Let x(l) be the first derivative of l**6/1800 + 2*l**3/3 + 3. Let b(n) be the third derivative of x(n). Suppose b(w) = 0. What is w?
0
Let s(r) be the third derivative of r**7/14 - 7*r**6/12 + 4*r**5/3 - 5*r**4/12 - 5*r**3/2 - 18*r**2. Determine c, given that s(c) = 0.
-1/3, 1, 3
Let w(z) = 7*z**3 - 3*z**2 + 33*z - 27. Let h(q) = 8*q**3 - 2*q**2 + 34*q - 27. Let c(s) = -6*h(s) + 7*w(s). Factor c(r).
(r - 3)**3
Let q(m) = 5*m**3 - m. Let x be q(1). Suppose 4*w - z - 21 = 0, -x*w - 4*z = -0 + 4. Solve 4*n**w + 7*n**4 + 6*n**3 + 2*n**5 - 5*n**4 + 2*n**2 = 0.
-1, 0
Let x be 20/(-90) - (-20)/9. Solve 0*l + 4*l**2 + 2*l + x*l**3 + 0 + 0 = 0.
-1, 0
Let s be 9*(21/(-9) - -1). Let o be (s/(-30))/((-4)/(-5)). Let -5/2*b**2 - o + 3*b = 0. What is b?
1/5, 1
Let w(m) = -m**3 - m + 9. Let r be w(0). L