n + 1)
Suppose 7/5*h**2 - 3/5 - 4/5*h = 0. Calculate h.
-3/7, 1
Let d = 319/1842 - 2/307. Suppose -1/6*w**2 + d*w**4 + 1/6*w**3 - 1/6*w**5 + 0*w + 0 = 0. Calculate w.
-1, 0, 1
Let b(f) = f**3 + f**2 + f. Let c(i) = 4*i**5 - 28*i**4 + 60*i**3 - 100*i**2 + 40*i - 12. Let v(y) = 12*b(y) + c(y). Factor v(d).
4*(d - 3)*(d - 1)**4
Let c(s) = 2*s**4 + 2*s**3 + 2*s**2 - 4*s - 4. Let z(h) = 5*h - h**3 - 1 + h**2 - 5*h. Let w(t) = -c(t) + 2*z(t). Factor w(l).
-2*(l - 1)*(l + 1)**3
Let q be 4 + -2 - (-357)/(-180). Let k(a) be the third derivative of -1/36*a**4 + 1/315*a**7 + 2*a**2 + 0*a**3 + 1/30*a**5 + 0*a - q*a**6 + 0. Factor k(p).
2*p*(p - 1)**3/3
Let s(g) be the second derivative of -2*g**6/45 + 7*g**5/60 + g**4/18 + 2*g. Factor s(z).
-z**2*(z - 2)*(4*z + 1)/3
Let l(w) = -w**3 + 5*w**2 + 6*w + 7. Let j be l(5). Factor 4*f + 37 - j - f**2.
-f*(f - 4)
Let l be ((-4)/6)/(196/(-105)). Let q = 13/7 - l. Solve -3/2 + 3/2*z + q*z**2 - 3/2*z**3 = 0.
-1, 1
Let u be (0 + -3 - -9) + -4. Let a(y) be the first derivative of 0*y**4 + 0*y + 1/5*y**5 + 0*y**3 + 0*y**u - 2. Factor a(r).
r**4
Let h(o) = 80*o**3 - 71*o**2 - 20*o + 8. Let p = 24 + -19. Let l(f) = 160*f**3 - 141*f**2 - 40*f + 16. Let q(z) = p*h(z) - 3*l(z). Solve q(u) = 0.
-2/5, 1/4, 1
Let w(g) = -15*g**2 + 5*g. Let i(o) = -o**3 + 15*o**2 - 6*o. Let u(f) = 5*i(f) + 4*w(f). Factor u(z).
-5*z*(z - 2)*(z - 1)
Let i(m) = -2*m**2 + 2*m + 1. Let t be i(2). Let o(s) = -23*s + 1. Let x be o(t). Factor 2 + 22*a**3 + x*a**4 + 47*a**3 + 4*a + 25*a**5 - 2 + 28*a**2.
a*(a + 1)**2*(5*a + 2)**2
Let o(j) be the second derivative of 3*j + 1/30*j**3 - 1/5*j**2 + 1/210*j**7 + 1/15*j**4 - 1/50*j**5 - 1/75*j**6 + 0. Determine m, given that o(m) = 0.
-1, 1, 2
Suppose -d - 28 = -4*k, 191 = -4*d - k + 11. Let r be 8/d + (-237)/(-33). Suppose 6*l - l**2 - r*l + 0*l**4 - l**2 + 2*l**4 + l**5 = 0. Calculate l.
-1, 0, 1
Suppose 0 = -j + 6 - 3. Solve 4*u + 2*u**j - u**2 - 2*u - 3*u = 0 for u.
-1/2, 0, 1
Let r be (-3)/(-15)*0 + 2. Factor -2/9*i + 2/9*i**5 + 0*i**3 - 4/9*i**4 + 0 + 4/9*i**r.
2*i*(i - 1)**3*(i + 1)/9
Let t(w) = w**2 + 1. Let n(x) = -2*x**3 - 10*x**2 + 2*x - 10. Let i(c) = -n(c) - 10*t(c). Factor i(u).
2*u*(u - 1)*(u + 1)
Factor 4/3*m**3 + 4*m**2 - 4/3*m**4 - 20/3*m + 8/3.
-4*(m - 1)**3*(m + 2)/3
Let d(m) = -20*m**4 + 12*m**3 + 12*m**2 + 4*m + 8. Let t(u) = -u**4 + u**3 + 1. Let i(p) = d(p) - 16*t(p). Find v such that i(v) = 0.
-2, -1, 1
Let 12/5*f + 3 - 3/5*f**2 = 0. What is f?
-1, 5
Let w(a) be the third derivative of 0*a - 5*a**2 + 0 + 1/2*a**3 - 3/40*a**5 - 5/16*a**4. Factor w(p).
-3*(p + 2)*(3*p - 1)/2
Let c = -7 - -7. Let a(p) be the third derivative of -1/30*p**5 + 0*p + 0*p**4 + 2*p**2 + c + 1/3*p**3. Factor a(l).
-2*(l - 1)*(l + 1)
Let c - 15*c**2 + 5*c**2 + 9*c**2 = 0. Calculate c.
0, 1
Factor -1/2*f**3 + 0*f**2 + 0 + 1/4*f**5 + 0*f**4 + 1/4*f.
f*(f - 1)**2*(f + 1)**2/4
Let z(g) = 5*g**2 - 8*g + 2. Let v(s) = 4*s**2 - 7*s + 2. Let l(i) = -6*v(i) + 5*z(i). Let w be l(-3). Suppose -1/2*a + a**2 + 1/2*a**3 - w = 0. What is a?
-2, -1, 1
Let r(y) = -y**4 - y**3 + y - 1. Let a(s) = -7*s**4 - 8*s**3 + 8*s - 5. Let m(t) = -5*a(t) + 30*r(t). Factor m(b).
5*(b - 1)*(b + 1)**3
Let p(m) = m**2 - 1. Let y(z) = 3*z**2 - 12*z - 18. Let n(h) = -6*p(h) + y(h). Factor n(r).
-3*(r + 2)**2
Solve -16/3*c**2 + 14/3 + 4*c - 4*c**3 + 2/3*c**4 = 0.
-1, 1, 7
Suppose 15 - 4 = 3*q - i, 1 = -2*q - i. Find o, given that q*o - 4*o + 0*o - 2*o**5 + 4*o**3 = 0.
-1, 0, 1
Let p(u) be the second derivative of -u**7/189 - u**6/45 - u**5/90 + u**4/18 + 2*u**3/27 - 17*u. Let p(y) = 0. What is y?
-2, -1, 0, 1
Let h = -123/4 + 31. Let s be ((-14)/(-4) + -4)/(-2). Factor -s*i**2 - h + 1/2*i.
-(i - 1)**2/4
Let j(z) be the first derivative of -2*z**3/15 + 7*z**2/5 - 4*z + 11. Find h, given that j(h) = 0.
2, 5
Suppose 0 = -11*l + 6*l + 25. Let p be (2/2)/(1/l). Determine r, given that -8/7*r**4 + 0 - 8/7*r**2 - 12/7*r**3 - 2/7*r**p - 2/7*r = 0.
-1, 0
Suppose -2 = -4*l - 10, -5*b + 91 = 2*l. Let s = -7 + b. Solve -21*i - 3*i**3 - s*i**4 - 7*i**5 + 21*i + 2*i**2 = 0 for i.
-1, 0, 2/7
Let k(v) be the third derivative of 1/240*v**6 - 1/360*v**5 - 1/48*v**4 + 0*v - 1/1260*v**7 + 0 - 4*v**2 + 1/18*v**3. Find f such that k(f) = 0.
-1, 1, 2
Factor -464 - 3*l + 469 - l - l**2.
-(l - 1)*(l + 5)
Suppose 0 = -6*p + 10*p. Let k(o) be the third derivative of p*o - 1/60*o**5 - 1/24*o**4 - o**2 - 1/360*o**6 - 1/18*o**3 + 0. Suppose k(i) = 0. Calculate i.
-1
Let i(x) be the second derivative of -x**5/5 + 2*x**3/3 - 35*x. Factor i(h).
-4*h*(h - 1)*(h + 1)
Let b(c) = 4*c**4 - 25*c**3 + 15*c**2 - 7*c - 7. Let k(x) = 2*x**4 - 12*x**3 + 7*x**2 - 3*x - 3. Let z(l) = -6*b(l) + 14*k(l). Factor z(w).
2*w**2*(w - 4)*(2*w - 1)
Let h = -10 + 12. What is s in 2/9*s**h - 2/9*s + 0 = 0?
0, 1
Let n be 2 - (-8)/14*(10 - 12). Determine y so that 22/7*y**2 + 8/7 + n*y**3 + 24/7*y = 0.
-2, -1, -2/3
Let u be (129/18 - -2)*2. Let d = 19 - u. Solve 4/3*a - d*a**4 - 4/3*a**3 + 2/3 + 0*a**2 = 0 for a.
-1, 1
Let b(c) be the first derivative of c**6/1440 + c**5/240 + 2*c**3/3 - 9. Let x(w) be the third derivative of b(w). Determine r so that x(r) = 0.
-2, 0
Let s(x) be the second derivative of -x**6/45 + x**5/15 - 2*x**3/9 + x**2/3 - 13*x. Factor s(d).
-2*(d - 1)**3*(d + 1)/3
Let a(x) = -2*x - 7. Let d be a(-5). Suppose -2*q**4 - 6*q - 3 + 5*q**4 - d*q**3 + 9*q**3 + 0 = 0. Calculate q.
-1, 1
Let f be (-10)/(-70)*(-21)/(-6). Find x, given that -1/4*x**2 + f*x - 1/4*x**3 + 0 = 0.
-2, 0, 1
Let -85*i**3 - 65*i**3 + 130*i**4 - 5*i**4 - 8*i + 60*i**2 = 0. What is i?
0, 2/5
Let i(p) = 19*p**3 - 24*p**2 + 7*p + 10. Let j(y) = 20*y**3 - 24*y**2 + 8*y + 11. Let l(u) = -5*i(u) + 4*j(u). Find x, given that l(x) = 0.
-2/5, 1
Let t(g) be the second derivative of -g**6/15 - 7*g**5/20 - g**4/6 + g**3/2 - 39*g. Factor t(a).
-a*(a + 1)*(a + 3)*(2*a - 1)
Let g = -7 + 7. Let v be -2*(g + 2 + -4). Factor -12*w**2 + 32*w - 11*w - v + 10.
-3*(w - 2)*(4*w + 1)
Factor 14*y**5 + 5*y**4 - 59*y**2 + 59*y**2 - y**4.
2*y**4*(7*y + 2)
Let -3*x**3 - 3*x**4 - 4*x + x + 3*x**2 + 6*x = 0. Calculate x.
-1, 0, 1
Let j = 389 - 386. Factor 14*w**j + 0 + 4/3*w + 10/3*w**5 + 22/3*w**2 + 34/3*w**4.
2*w*(w + 1)**3*(5*w + 2)/3
Factor -6*d**5 - 2*d**4 + 17*d**5 - 9*d**5 - 4*d**3.
2*d**3*(d - 2)*(d + 1)
Factor 2/7*u**4 + 6/7*u**3 + 0 + 4/7*u**2 + 0*u.
2*u**2*(u + 1)*(u + 2)/7
Let y(i) be the third derivative of -i**8/80640 + i**5/60 - 2*i**2. Let f(u) be the third derivative of y(u). Let f(a) = 0. Calculate a.
0
Let b(x) be the first derivative of -x**6/180 + x**5/90 + x**4/36 - x**3/9 + 3*x**2 + 2. Let r(o) be the second derivative of b(o). Factor r(c).
-2*(c - 1)**2*(c + 1)/3
Let i(o) = o**3 + 22*o**2 - 24*o - 23. Let c be i(-23). Suppose -2/5*h**3 + 0*h**2 + 4/5*h**4 + 0*h + c - 2/5*h**5 = 0. Calculate h.
0, 1
Let q(s) = 11*s**3 - 6*s**2 - 7*s + 5. Let l(k) = -5*k**3 + 3*k**2 + 4*k - 2. Let u(f) = 5*l(f) + 2*q(f). Factor u(g).
-3*g*(g - 2)*(g + 1)
Determine p, given that 1/9*p**2 - 2/9 - 1/9*p = 0.
-1, 2
Factor c**2 - 4*c - 4*c**2 - 2*c**2 - c**2 - 2*c**3.
-2*c*(c + 1)*(c + 2)
Let z(k) be the first derivative of 2/3*k - 8/9*k**3 + 2 + k**2. Factor z(q).
-2*(q - 1)*(4*q + 1)/3
Suppose 0 = r + 1. Let o be (5 - r - 3)/1. Suppose 3*l**o + 5*l**2 + 0*l + 2*l + l**3 + l**4 = 0. What is l?
-2, -1, 0
Find n, given that -11/10*n + 56/5*n**5 + 62/5*n**3 - 22*n**4 - 7/10*n**2 + 1/5 = 0.
-2/7, 1/4, 1/2, 1
Let f(h) = -h - 4. Let l be f(-7). Let -r**2 - l - 5 + 5*r**2 + 4*r = 0. What is r?
-2, 1
Suppose -k - 2*k = -9. Factor -2/3*u**4 + 0*u**k - 2/3 + 0*u + 4/3*u**2.
-2*(u - 1)**2*(u + 1)**2/3
Let w(l) be the third derivative of l**9/30240 - l**8/13440 - l**7/5040 + l**6/1440 + l**4/12 + 3*l**2. Let t(i) be the second derivative of w(i). Factor t(k).
k*(k - 1)**2*(k + 1)/2
Let y(k) be the third derivative of k**6/360 + 7*k**5/270 + 5*k**4/54 + 4*k**3/27 + 6*k**2. Factor y(s).
(s + 2)**2*(3*s + 2)/9
Let h be 3*2 + (1 - 4). Suppose 3*k - 11*k**3 + 3*k**5 - k**3 + 6*k**h = 0. Calculate k.
-1, 0, 1
Let m(u) = -2*u**2 - 3*u - 4. Let f be m(-5). Let h = f + 42. Suppose 1/4 + 3/2*l**2 + 1/4*l**4 - l - l**h = 0. Calculate l.
1
Suppose 2*j - 25 = -21. Factor 0 - 8/9*z**3 + 10/9*z**j - 4/9*z + 2/9*z**4.
2*z*(z - 2)*(z - 1)**2/9
Let f(d) be the second deriva