/7, 1, 2
Solve -4/7 - 6/7*m + 2/7*m**3 + 0*m**2 = 0.
-1, 2
Let i be (-4)/(-1) - (96/16 + -5). Factor -d**i + 2/3*d + 0 + 1/3*d**2.
-d*(d - 1)*(3*d + 2)/3
Let r = -3/7 - -16/21. Suppose -15 = -4*z + z. Suppose -a**4 - 2/3*a**z + 1/3*a**3 + a**2 + 0 + r*a = 0. What is a?
-1, -1/2, 0, 1
Let y(q) be the first derivative of 7*q**6/6 - 2*q**5/5 - 7*q**4/4 + 2*q**3/3 - 66. Factor y(p).
p**2*(p - 1)*(p + 1)*(7*p - 2)
Let k(w) be the first derivative of -3*w**4/16 - w**3/4 + 3*w**2/4 + 2. Let k(o) = 0. What is o?
-2, 0, 1
Let c(o) be the first derivative of 3*o**4/4 + 4*o**3/3 - 13*o**2/2 + 6*o - 7. Factor c(y).
(y - 1)*(y + 3)*(3*y - 2)
Suppose 14 = 5*f - 6. Solve n**f + 4*n - 2*n**4 - 6*n**2 + 0*n**4 + 3*n**4 = 0 for n.
-2, 0, 1
Factor 51*j**2 - 33*j - 243 + 51*j**3 - 156*j - 54*j**3.
-3*(j - 9)**2*(j + 1)
Let t(i) be the second derivative of -i**7/14 + 3*i**5/5 - i**4/2 - 3*i**3/2 + 3*i**2 + i. Factor t(o).
-3*(o - 1)**3*(o + 1)*(o + 2)
Let m = 8 - -7. Suppose 0 = -0*i + 5*i - m. Factor 0 + 5/2*u**4 - 5/2*u**2 + u - u**i.
u*(u - 1)*(u + 1)*(5*u - 2)/2
Let x(z) be the second derivative of -1/12*z**3 - 1/8*z**2 + 3*z + 0 - 1/48*z**4. Determine b so that x(b) = 0.
-1
Let q(x) be the third derivative of -1/300*x**5 + 0*x**3 + 0 + 1/600*x**6 + x**2 + 0*x + 0*x**4. Determine w so that q(w) = 0.
0, 1
Let h(y) = -21*y**3 + 19*y**2 + 13*y + 13. Let a(f) = -5*f**3 + 5*f**2 + 3*f + 3. Let o(i) = -26*a(i) + 6*h(i). Find d, given that o(d) = 0.
0, 4
Suppose 0 = -74*k + 82*k - 16. Let 0 + 0*d + 1/2*d**k + 7/4*d**3 = 0. Calculate d.
-2/7, 0
Determine s, given that -12/5*s**5 + 24/5*s**3 - 3/5 - 12/5*s - 3/5*s**4 + 6/5*s**2 = 0.
-1, -1/4, 1
Let b(r) be the second derivative of -r**4/30 - 2*r**3 - 45*r**2 + 56*r. Factor b(p).
-2*(p + 15)**2/5
Let b = 3/5 - -16/15. Let d(r) be the first derivative of -1 + r**2 - 1/5*r**5 + 0*r + r**4 - b*r**3. Factor d(m).
-m*(m - 2)*(m - 1)**2
Let f = 10 - 7. Suppose -3*h = 4*c - 2*h + 2, -3*c + f*h = -6. Let -1/3*g**2 + c - 1/3*g**3 + 0*g = 0. What is g?
-1, 0
Factor 0 - 2/3*a**3 + 4/3*a + 2/3*a**2.
-2*a*(a - 2)*(a + 1)/3
Determine m so that -6/5*m - 2/5 + 14/5*m**3 - 8/5*m**5 + 2/5*m**2 + 0*m**4 = 0.
-1, -1/2, 1
Suppose -6*f = -4*f - 12. Let k = 8 - f. Let 4 - 1 - 1 - 2*w**k = 0. Calculate w.
-1, 1
Let y(s) be the second derivative of -3*s**6/5 - 2*s**5/5 + 3*s**4/2 + 4*s**3/3 - 14*s. Factor y(i).
-2*i*(i - 1)*(i + 1)*(9*i + 4)
Let b(l) be the third derivative of 0 + 3*l**2 + 1/24*l**4 + 0*l + 1/60*l**5 - 1/3*l**3. Factor b(z).
(z - 1)*(z + 2)
Let k(n) = -n**3 - n**2 + n. Let l(y) = -6*y**3 - 14*y**2 - 22*y - 27. Let b(o) = 5*k(o) - l(o). Factor b(f).
(f + 3)**3
Let a be (-565)/(-900) + -2*3/10. Let y(f) be the second derivative of f + 0*f**2 - 1/18*f**3 - a*f**4 + 0. Suppose y(c) = 0. What is c?
-1, 0
Let z(y) = -y**2 - y - 1. Let l(v) = 12*v**2 + 2*v - 7*v**2 + 2 + 3. Let o(f) = l(f) + 4*z(f). Factor o(c).
(c - 1)**2
Let p(x) be the third derivative of x**7/1575 + x**6/450 - x**2. Find z such that p(z) = 0.
-2, 0
Let m = 0 + 0. Factor m*r**2 - 3 - 2*r**2 - 15 + 12*r.
-2*(r - 3)**2
Let w = -19/154 - -9/22. Factor 4/7*c - 2/7*c**2 - w.
-2*(c - 1)**2/7
Let i be (1 - 2)/((-1)/4). Let v(f) = f**4 + 8*f**3 - 8*f**2 - 4. Let c(a) = -3*a**4 - 15*a**3 + 15*a**2 + 9. Let y(g) = i*c(g) + 9*v(g). Solve y(s) = 0 for s.
0, 2
Let o(d) be the first derivative of -7*d**3/15 + d**2/5 + 7. Let o(m) = 0. What is m?
0, 2/7
Suppose 3*j - 14 = 5*h - 0*j, -3*h = 2*j - 3. Let o = h - -3. Let 4*s**4 - 8*s**4 + 4*s**3 - 2*s**3 + o*s**2 = 0. What is s?
-1/2, 0, 1
Factor 4/11*d**4 - 2/11*d**5 - 4/11*d**2 + 2/11*d + 0 + 0*d**3.
-2*d*(d - 1)**3*(d + 1)/11
Let i(h) be the first derivative of 0*h + 1 - 4/3*h**3 - h**2 - 1/2*h**4. Factor i(x).
-2*x*(x + 1)**2
Let s(j) be the third derivative of 0*j**3 + 0*j + 1/10*j**6 + 1/20*j**5 - 3/70*j**7 + 2*j**2 + 0 - 1/4*j**4. Let s(n) = 0. What is n?
-2/3, 0, 1
Let j = -32 - -34. Let s(h) be the first derivative of -1/10*h**5 + 0*h + 3 + 0*h**j + 1/2*h**4 - 2/3*h**3. Factor s(w).
-w**2*(w - 2)**2/2
Let o(p) be the first derivative of -7*p**3/12 + 23*p**2/8 - 3*p/2 - 5. What is x in o(x) = 0?
2/7, 3
Factor -188*r + 143*r + 12*r**2 - 8 - 4.
3*(r - 4)*(4*r + 1)
Let x(m) be the second derivative of -m**7/210 - m**6/25 - 3*m**5/50 + 4*m**4/15 + m**3/2 - 9*m**2/5 + 17*m. Suppose x(k) = 0. Calculate k.
-3, -2, 1
Let v be (-4)/3*21/(-14). Let m(x) be the second derivative of 0*x**5 + v*x - 1/6*x**4 - 1/42*x**7 + 1/15*x**6 + 0*x**2 + 1/6*x**3 + 0. Factor m(u).
-u*(u - 1)**3*(u + 1)
Let n(h) be the second derivative of h**4/12 + h**3/2 + h**2 - 9*h. Factor n(g).
(g + 1)*(g + 2)
Let w(x) be the second derivative of 0 - 2/9*x**3 + 0*x**2 - 5*x + 1/18*x**4. Solve w(j) = 0.
0, 2
Let y be ((-18)/12)/(12/(-14)). Factor -3*h**4 + 0 + 0*h - y*h**5 - 3/4*h**3 + 1/2*h**2.
-h**2*(h + 1)**2*(7*h - 2)/4
Solve 3/4*x**2 - 3*x + 0 = 0 for x.
0, 4
Let l(v) be the third derivative of v**5/42 - v**4/14 + v**3/21 - 7*v**2. Determine m so that l(m) = 0.
1/5, 1
Let g(y) be the second derivative of y**8/10080 - y**7/1890 - y**6/1080 + y**5/90 + y**4/3 + 6*y. Let x(o) be the third derivative of g(o). Factor x(j).
2*(j - 2)*(j - 1)*(j + 1)/3
Factor 0 + 0*l**2 + 1/5*l**3 + 0*l.
l**3/5
Suppose 3*g + g - 60 = -4*j, 4*j - g = 35. Let u = -6 + j. Factor u*d**2 + 2*d - 4*d**3 - d**2 - d**3.
-d*(d - 1)*(5*d + 2)
Let q(b) be the first derivative of 20*b**3/27 - 28*b**2/9 + 32*b/9 - 6. Factor q(t).
4*(t - 2)*(5*t - 4)/9
Let i(p) be the second derivative of -p**7/3360 + p**6/1440 - p**3/6 + 2*p. Let g(s) be the second derivative of i(s). Determine f, given that g(f) = 0.
0, 1
Suppose -2*f**2 + 3*f**2 + 18 - 10*f - 15 + 22 = 0. What is f?
5
Let j(t) = -5*t**2 - 11*t - 1 - 1 + 13*t. Let g(m) = -66*m**2 + 27*m - 27. Let l(f) = -2*g(f) + 27*j(f). Suppose l(n) = 0. Calculate n.
0
Factor 0 - 1/5*l**3 + 4/5*l + 0*l**2.
-l*(l - 2)*(l + 2)/5
Suppose -4*x - 2 = 5*q, q + 2 + 5 = -3*x. Solve -7 - 1 - i**q + 9 = 0 for i.
-1, 1
Let w(r) be the third derivative of -r**5/20 + 5*r**4/8 + r**2. Factor w(k).
-3*k*(k - 5)
Let k(s) be the second derivative of -2*s + 1/189*s**7 + 0*s**4 - 1/45*s**5 + 0*s**6 + 0*s**2 + 1/27*s**3 + 0. Factor k(c).
2*c*(c - 1)**2*(c + 1)**2/9
Let x be (-2)/5 + (-36)/(-15). Suppose 0 + x*v**2 - 1 + 1 - 2*v = 0. Calculate v.
0, 1
Suppose 4*v + 13 = -11. Let d = v + 10. Factor 4/5*q - 2*q**2 + 8/5*q**3 + 0 - 2/5*q**d.
-2*q*(q - 2)*(q - 1)**2/5
Let u(s) = -s**3 - s**2. Let a(o) = -18*o**3 - 21*o**2 - 3*o. Let n(c) = -a(c) + 6*u(c). Factor n(f).
3*f*(f + 1)*(4*f + 1)
Factor 4/17*v**3 + 16/17*v + 0 + 2*v**2.
2*v*(v + 8)*(2*v + 1)/17
Suppose 4*v - v - 1 = -c, 2*v + 4*c - 14 = 0. Let o be v*(20/(-7) + 2). Solve -o*k**4 + 6/7*k**3 + 2/7*k**5 + 0*k + 0 - 2/7*k**2 = 0 for k.
0, 1
Let o(n) be the second derivative of -n**5/20 + n**4/12 + n**3/3 + 5*n. Factor o(k).
-k*(k - 2)*(k + 1)
Let t be 2*2/12*9. Suppose 9 = f + 3*d, f - 6*f - 4*d + 12 = 0. Suppose f - 1/3*g - 1/3*g**t + 2/3*g**2 = 0. Calculate g.
0, 1
Let p(y) = -y**2 - 15*y + 56. Let o be p(-18). Factor 0*s**3 + 0*s - 2/15 - 2/15*s**4 + 4/15*s**o.
-2*(s - 1)**2*(s + 1)**2/15
Let z(q) = -2*q**2 - 11*q + 20. Let l(h) = -2*h - 16. Let f be l(-7). Let n(t) = t**2 + 4*t - 7. Let p(v) = f*z(v) - 7*n(v). Find d such that p(d) = 0.
-3, 1
Let d(x) be the first derivative of x**9/13608 - x**7/1890 + x**5/540 + 4*x**3/3 + 4. Let q(n) be the third derivative of d(n). Factor q(g).
2*g*(g - 1)**2*(g + 1)**2/9
Let r(m) = -m**3 - m**2 - m. Let d(j) = -253*j**3 + 963*j**2 - 1197*j + 500. Let y(p) = -d(p) - 3*r(p). What is k in y(k) = 0?
5/4
Factor -2*s**5 + 2*s**4 + 6*s + 5*s**5 - 6*s.
s**4*(3*s + 2)
Suppose -2*l + 7 + 3 = 0. Let q be l*(-1 - 16/(-10)). Factor -4*d**q + 2*d**5 + 3 + 2*d - 3.
2*d*(d - 1)**2*(d + 1)**2
Let a(z) be the first derivative of 0*z - 2 + 0*z**3 - 1/10*z**4 + 1/5*z**2. Factor a(w).
-2*w*(w - 1)*(w + 1)/5
Let y(p) be the second derivative of -2*p**6/15 + p**4/3 + 11*p. Factor y(t).
-4*t**2*(t - 1)*(t + 1)
Let h be ((-4)/12)/(2/(-24)). Let j be (-4)/10 - h/(-5). Factor -2/5*i**3 + j*i**2 + 2/5*i + 0 - 2/5*i**4.
-2*i*(i - 1)*(i + 1)**2/5
Let t be -1*1 - (-2 + -1). Factor 2*u + 2*u**2 - 2*u**4 + 2*u**5 + 6*u**t + 6*u**4 + 4*u**4 + 12*u**3.
2*u*(u + 1)**4
Let w = -207 + 210. Factor 0 - 1/2*d**2 - 1/4*d -