*2 - 1/5*x**3 + 0 - 1/5*x**5 - 2/5*x**4 + 0*x = 0.
-1, 0
Let g be 6*(12/392)/3. Let d = 64/245 - g. Suppose -1/5*o**2 + 0 + 0*o + d*o**3 = 0. Calculate o.
0, 1
Let l(a) = 2*a - 1. Let j be l(3). Suppose -3*w = -j - 1. Find s such that 2/7*s**w + 8/7*s + 8/7 = 0.
-2
Let a be (-1)/1*(6 - 7). Let i(p) be the first derivative of 0*p - 1/8*p**2 - a + 1/12*p**3. Solve i(b) = 0.
0, 1
Let h be (4/(-3))/((-10)/15). Let x(r) be the first derivative of -2 + 2/7*r**4 + 2/7*r**h - 2/35*r**5 + 0*r - 10/21*r**3. Solve x(z) = 0 for z.
0, 1, 2
Let o = -145 - -1019/7. Let x(t) be the first derivative of -8/7*t - 2/21*t**3 - o*t**2 - 3. Factor x(h).
-2*(h + 2)**2/7
Let r(x) = -2*x**2 + 8*x - 5. Let u(v) = -7. Suppose 3*p - 45 = -2*p. Let b(t) = 3. Let j(y) = p*b(y) + 4*u(y). Let d(h) = -3*j(h) - r(h). Factor d(n).
2*(n - 2)**2
Suppose 0 = -m + 2*n - 2 - 6, 5*m = -n - 7. Let y be ((-3)/(-2))/((-1)/m). Let 6/5*r + 2/5*r**y + 6/5*r**2 + 2/5 = 0. What is r?
-1
Let m(s) be the second derivative of 2*s**7/21 + 4*s**6/15 + s**5/5 + 4*s. Factor m(n).
4*n**3*(n + 1)**2
What is l in -8*l**2 + l**3 - l**2 + 8*l**2 = 0?
0, 1
Let r(a) be the first derivative of -a**3/3 - 2*a**2 - 3*a + 20. Suppose r(u) = 0. Calculate u.
-3, -1
Let a(w) be the first derivative of -2*w**6/3 + 24*w**5/5 - 14*w**4 + 64*w**3/3 - 18*w**2 + 8*w - 10. Factor a(h).
-4*(h - 2)*(h - 1)**4
Let i(g) = -g**3 - 3*g**2 - 2*g + 2. Let b be i(-2). Determine v so that 15/2*v**3 + 1/2*v - 13/2*v**4 + 2*v**5 + 0 - 7/2*v**b = 0.
0, 1/4, 1
Suppose -4*i**3 + 0*i**3 - 44*i**2 - 4*i**4 + 44*i**2 = 0. What is i?
-1, 0
Let m(g) be the second derivative of 3*g**5/20 + g**4/2 + g**3/2 + 3*g. Factor m(i).
3*i*(i + 1)**2
Let i(m) be the second derivative of m + 0 + 4*m**3 - 13/6*m**4 - 4*m**2 - 1/15*m**6 + 3/5*m**5. Factor i(u).
-2*(u - 2)**2*(u - 1)**2
Factor -2/5 - 4/5*s + 6/5*s**2.
2*(s - 1)*(3*s + 1)/5
Let p be (-3 - (3 + -6))*(-4)/(-8). Factor 2/5*h**2 - 6/5*h + p.
2*h*(h - 3)/5
Determine l, given that 2/9*l**4 + 2/9*l + 0 - 2/9*l**2 - 2/9*l**3 = 0.
-1, 0, 1
Let j be 29/(-3)*(0 - -6). Let p = j + 292/5. What is x in p*x**2 + 0*x + 6/5*x**4 - 2/5*x**5 + 0 - 6/5*x**3 = 0?
0, 1
Let l(n) = -n + 6. Let y be l(-13). Let g = 21 - y. Factor 4/5*f**3 + 2/5 - 2/5*f**4 + 0*f**g - 4/5*f.
-2*(f - 1)**3*(f + 1)/5
Suppose -5*i + 400 - 400 = 0. Solve 2/11*c**5 + 0*c + 2/11*c**4 + 0*c**2 + 0 + i*c**3 = 0.
-1, 0
Let d = 6 - 3. Let q(g) be the second derivative of 343/60*g**6 - 19/3*g**d + g - 49/40*g**5 - 2*g**2 - 35/4*g**4 + 0. Factor q(b).
(b - 1)*(7*b + 2)**3/2
Let b(h) be the third derivative of -7*h**6/240 - 11*h**5/120 - h**4/48 + h**3/4 + h**2. Factor b(z).
-(z + 1)**2*(7*z - 3)/2
Let d(i) = i**2 - 14*i + 4. Let g be d(10). Let k be 6/(-9) + (-33)/g. Find y such that 0 - k*y**2 - 1/4*y = 0.
-1, 0
Let c be 39/2*(-22)/(-33). Let g be (1/11)/(c/26). Factor g*r**3 + 0*r + 0 - 2/11*r**2.
2*r**2*(r - 1)/11
Let y(v) be the second derivative of 1/5*v**5 - 1/5*v**6 + 1/3*v**4 + 2*v + 1/21*v**7 - v**3 + 0 + v**2. Determine g so that y(g) = 0.
-1, 1
Let g(d) be the second derivative of -d**7/21 + d**5/5 - d**3/3 - 5*d. Factor g(k).
-2*k*(k - 1)**2*(k + 1)**2
Let j(d) be the first derivative of -1/6*d**4 - 1/3*d**3 + 0*d**2 - 2*d + 1. Let f(b) be the first derivative of j(b). Factor f(y).
-2*y*(y + 1)
Let w(n) = -2*n - 2. Let m be w(-6). Suppose 2*z + 1 - m*z + 2 + 3*z**2 + 2*z = 0. What is z?
1
Let j(m) be the first derivative of m**4/12 - 17*m**3/9 + 40*m**2/3 - 64*m/3 + 17. Factor j(u).
(u - 8)**2*(u - 1)/3
Let h be ((-70)/56)/(3/(-4)). Find x, given that h*x**2 + x**3 + 0 + 2/3*x = 0.
-1, -2/3, 0
Let y(h) be the second derivative of h**6/50 - 3*h**5/100 + 2*h. Factor y(v).
3*v**3*(v - 1)/5
Let h(g) = -g**2 + 8*g - 7. Let q = 18 - 11. Let v be h(q). Find x such that v*x**2 + 0 + 2/5*x - 2/5*x**3 = 0.
-1, 0, 1
Let m(l) be the first derivative of 1/4*l**4 - 2/3*l**3 - 1/2*l**2 + 2*l + 2. Let m(s) = 0. Calculate s.
-1, 1, 2
Let p(a) be the second derivative of 7*a**5/30 - 23*a**4/12 + 2*a**3 + 5*a**2/2 - 6*a. Let f(q) be the first derivative of p(q). Factor f(m).
2*(m - 3)*(7*m - 2)
Suppose -5*g - 20 = -5*c - 0*g, 3*c - 14 = 2*g. Determine u, given that u**2 + 2*u**3 - c + u**2 + 3 + 1 - 2*u = 0.
-1, 1
Let y(j) be the third derivative of j**6/300 + j**5/30 + j**4/15 - 11*j**2. Factor y(v).
2*v*(v + 1)*(v + 4)/5
Let h(b) = 3*b**3 - 9*b**2 - 21*b. Let c(p) = p**3 - 2*p**2 - 5*p. Let q(t) = -9*c(t) + 2*h(t). Factor q(v).
-3*v*(v - 1)*(v + 1)
Let x(j) = 85*j - 338. Let v be x(4). Find f, given that 1/4*f**3 + f**v + 5/4*f + 1/2 = 0.
-2, -1
Let a(w) be the third derivative of 0*w + 2*w**2 + 1/210*w**7 + 1/120*w**6 - 1/60*w**5 - 1/24*w**4 + 0 + 0*w**3. Suppose a(z) = 0. Calculate z.
-1, 0, 1
Let i be (-2)/7 - (-171)/378. Let a(h) be the second derivative of 0 - 1/18*h**4 + 0*h**5 + 0*h**3 + i*h**2 + 1/90*h**6 + 2*h. Determine d so that a(d) = 0.
-1, 1
Let p(u) = -9*u**3 + 56*u**2 - 54*u - 29. Let c(t) = t**2 - 1. Let a(r) = 5*c(r) - p(r). Factor a(m).
3*(m - 4)*(m - 2)*(3*m + 1)
Suppose -3*s - v = -2*s - 3, -5*s - 2*v = -15. Suppose -s*d - 1 = -16. Factor -d*i**2 - 12*i + 2*i**2 + 17*i**3 + 7*i**3 + 2 + 13*i**2.
2*(i + 1)*(3*i - 1)*(4*i - 1)
Let v be 2 + 1 + -7 + 6. Let j(f) be the third derivative of 0 + 0*f**3 + f**v + 1/168*f**8 + 0*f**4 + 1/30*f**5 - 1/60*f**6 - 1/105*f**7 + 0*f. Factor j(b).
2*b**2*(b - 1)**2*(b + 1)
Let r(b) be the first derivative of 2/3*b**3 + 2/5*b**4 + 2/5*b**2 - 3 + 0*b + 2/25*b**5. Solve r(z) = 0.
-2, -1, 0
Let l be 42/28 + 15/(-12). Factor 1/4*f**2 + l*f**3 - 1/2*f + 0.
f*(f - 1)*(f + 2)/4
Suppose 0 + 1/5*k**2 + 0*k = 0. What is k?
0
Suppose -2*l = -3*r + 27, 0*l = -4*l - 3*r - 27. Let t = l + 22. Let -45*s - 196*s**4 - 406*s**3 - 8*s - 40*s + t*s - 282*s**2 - 8 = 0. What is s?
-1, -1/2, -2/7
Let q(c) = -c - 3. Let k be q(-5). Factor -9*t + 24*t**2 + 8*t**2 - 5*t - 2*t + k.
2*(4*t - 1)**2
Suppose -5*t + 9*t - 20 = 0. Suppose -w + 1 = 3*j, -4*j - 1 + 2 = w. Factor w + r**2 - 10*r + 3*r + t*r.
(r - 1)**2
Let b = -3 + 5. Factor -2 + v**3 + 6*v**3 - v**3 + 2*v**4 - 2 - 6*v + b*v**2.
2*(v - 1)*(v + 1)**2*(v + 2)
Suppose -1/4*j**2 + 0 - 3/4*j**4 + 1/4*j**5 + 0*j + 3/4*j**3 = 0. Calculate j.
0, 1
Let m be (-2)/4 - (-822)/980. Let r = 3/49 + m. Suppose 2/5*b**3 - 2/5*b + r*b**2 - 2/5 = 0. Calculate b.
-1, 1
Let q(y) be the second derivative of 1/10*y**6 + 1/10*y**5 - 5/42*y**7 + 0 + 3*y + 0*y**2 + 0*y**3 + 0*y**4. Factor q(u).
-u**3*(u - 1)*(5*u + 2)
Let y(x) = -6*x**2 + 3*x - 4*x + 7*x**2. Let g(b) = 3*b**2 - 3*b. Let l(f) = 2*g(f) - 7*y(f). Factor l(w).
-w*(w - 1)
Let v be 6/10 + (-45)/75. Factor -2/5*r**2 + 2/5 + v*r.
-2*(r - 1)*(r + 1)/5
Let f(i) = -4*i**3 + 2*i**2 - 5*i - 1. Let m(w) = w**3 - w**2 + w + 1. Suppose -5*l = 2 + 8. Let g(a) = l*f(a) - 10*m(a). Factor g(h).
-2*(h - 2)**2*(h + 1)
Let d be (-4)/26 - (1 + (-955)/715). Factor -d + 0*u + 2/11*u**2.
2*(u - 1)*(u + 1)/11
Suppose 17 - 2 = 5*c. Suppose 2*q + 0*q**2 + 0*q**2 - 3*q**2 - 8*q - c = 0. Calculate q.
-1
Solve 1/3*n**4 - 2/3*n**2 + 0 - 1/3*n**3 + 0*n = 0.
-1, 0, 2
Factor -43*m + 13 + 93*m - 138 - 3*m**2 - 2*m**2.
-5*(m - 5)**2
Let k(x) = -7*x**2 + x + 1. Let b(l) = 22*l**2 - 2*l - 4. Let c(f) = -5*f**2 - f + 1. Let z be c(1). Let s(q) = z*b(q) - 16*k(q). Let s(a) = 0. Calculate a.
1, 2
Let r(q) be the first derivative of -4*q**5/45 + 5*q**4/18 + 8*q**3/9 + q**2/9 - 8*q/9 - 52. Let r(p) = 0. What is p?
-1, 1/2, 4
Let q(p) be the third derivative of -p**11/997920 + p**9/90720 - p**7/15120 + 2*p**5/15 - 7*p**2. Let l(b) be the third derivative of q(b). Factor l(m).
-m*(m - 1)**2*(m + 1)**2/3
Let u = -95/12 + 8. Let r(v) be the second derivative of 1/2*v**2 + v + 0 + 1/3*v**3 + u*v**4. Factor r(n).
(n + 1)**2
Let y(t) be the third derivative of t**5/12 - 9*t**2. Let y(k) = 0. What is k?
0
Find o such that -4*o**3 - 2*o**3 + o**5 + 2*o**5 + 3*o = 0.
-1, 0, 1
Let x = 5 + -2. Suppose 3*s - x = -0*s. Let -3*t - s + 0*t**2 - 3 - 3*t - 2*t**2 = 0. Calculate t.
-2, -1
Suppose -z = 4*o - 13, -3*o - 12 = -8*o + 3*z. Factor 0 + 0*b**o + 0*b + 0*b**2 - 1/2*b**4.
-b**4/2
Let t(j) = -j**2 - 7*j - 5. Let u be t(-5). Let m(o) be the second derivative of o + 4/15*o**3 - 3/50*o**u - 4/15*o**4 + 0*o**2 + 3/25*o**6 + 0. Factor m(h).
2*h*(h + 1)*(3*h - 2)**2/5
Let v(r) = r - 8