 so that f(j) = 0.
-1, 0, 1
Solve -272*f**2 + f**5 + f**4 + 275*f**2 - 3*f**3 - 2*f**3 = 0.
-3, 0, 1
Let d be (-2)/15*55/(-33). Factor -2/3*a - d*a**3 + 2/3*a**2 + 2/9.
-2*(a - 1)**3/9
Let w(z) be the second derivative of -z**4/4 + z**3/5 + 14*z. Factor w(s).
-3*s*(5*s - 2)/5
Suppose 4*f = 2*f + 8. Suppose 4*g**2 - 3*g + g**2 + 4*g**2 - 4*g**3 - 5*g**3 + 3*g**f = 0. What is g?
0, 1
Let a(l) = -7*l - 1. Let i be a(-1). Factor 7*c**2 + 2 + 3 - 6*c**2 - i.
(c - 1)*(c + 1)
Let f be 9/(-3)*(-2)/(-3). Let k(w) = -w - 1. Let z be k(f). Factor r**3 + r**3 + z - 6*r**2 + 7.
2*(r - 2)**2*(r + 1)
Let u(b) be the first derivative of b**3/21 - 6. Suppose u(z) = 0. What is z?
0
Let s(f) be the first derivative of f**3 - 3*f + 9. Factor s(r).
3*(r - 1)*(r + 1)
Let j = -43 - -39. Let b be j/((-16)/10) + -2. Factor 1/2*h - h**2 + 0 + b*h**3.
h*(h - 1)**2/2
Let p = -3 + 5. Let n be ((-5)/p)/(1/(-2)). Find k such that 0*k - 2*k**n + 3*k**3 - 2*k + k**3 = 0.
-1, 0, 1
What is l in -5/4*l + 1/2 - 1/4*l**3 + l**2 = 0?
1, 2
Suppose -17*o + 9*o + 40 = 0. Let y(l) be the second derivative of 0 - 1/10*l**o + 1/6*l**4 - 2*l + 0*l**2 + 0*l**3. Factor y(n).
-2*n**2*(n - 1)
Let s(w) be the second derivative of w**5/40 - w**3/4 + w**2/2 - 15*w. Factor s(c).
(c - 1)**2*(c + 2)/2
Let k be 1080/(-243)*2/(-8). Factor -34/9*i + k*i**2 + 4/3.
2*(i - 3)*(5*i - 2)/9
Let c(b) be the third derivative of -b**5/60 - 11*b**4/24 - 5*b**3/3 - 13*b**2 - 2. Factor c(a).
-(a + 1)*(a + 10)
Let d(a) be the third derivative of -a**7/105 + a**6/30 - a**5/30 + a**2. Solve d(g) = 0.
0, 1
Factor -15*i + 9*i**3 - 20*i**3 + 6 + 15*i**3 + 38*i**3 - 33*i**2.
3*(i - 1)*(2*i + 1)*(7*i - 2)
Let m be 3/((4/2)/2). Suppose 4*l**3 - 3*l**m + 6 - 3*l**3 + 10*l**2 - 14*l + 0 = 0. Calculate l.
1, 3
Let z(x) be the second derivative of -1/18*x**4 + 0 - 7/90*x**5 + x + 1/9*x**3 - 1/45*x**6 + 2/9*x**2. What is b in z(b) = 0?
-1, 2/3
Let g(l) = 9*l**4 - 8*l**3 - 17*l**2 + 16*l + 16. Let b(s) = 14*s**4 - 12*s**3 - 26*s**2 + 24*s + 24. Let n(i) = 5*b(i) - 8*g(i). Factor n(j).
-2*(j - 2)**2*(j + 1)**2
Let d(u) = u**2 + 4*u + 1. Let w be d(-4). Let r(i) be the first derivative of -3/5*i**2 + 2/15*i**3 - w + 4/5*i. Solve r(b) = 0.
1, 2
Let b(h) = -9*h**2 - 6*h - 9. Let i(z) = -8*z**2 - 6*z - 8. Let j(f) = f**3 - 7*f**2 + 4*f + 6. Let q be j(6). Let u(x) = q*i(x) + 5*b(x). Factor u(s).
3*(s + 1)**2
Suppose 5*j + 0*j - 3*k = 80, k = 4*j - 57. Let v = -9 + j. Suppose -c**4 + 0 + 4*c**2 - 2 - 3*c**v + 2*c**4 = 0. Calculate c.
-1, 1
Let h = -8/301 - -9656/903. Let -8/3*g**3 - 8*g**2 - h*g - 1/3*g**4 - 16/3 = 0. Calculate g.
-2
Let -6/5 - 9/5*w**2 + 3*w = 0. What is w?
2/3, 1
Suppose 0 = 3*v - 5*d - 11, 5*v + 5*d = -0 + 5. Solve 9/5*p**3 + 3/5*p**v + 3/5*p**4 - 9/5*p - 6/5 = 0 for p.
-2, -1, 1
Factor 0 - 2/11*b**3 - 4/11*b**2 + 0*b.
-2*b**2*(b + 2)/11
Let n(h) be the second derivative of 0 - 1/105*h**6 + 0*h**2 + 1/42*h**4 - 1/49*h**7 + 0*h**3 + 3/70*h**5 + 3*h. Determine y, given that n(y) = 0.
-1, -1/3, 0, 1
Let t = 62 + -60. Let n be (1 - 10/8)*-1. Suppose 1/4 - n*y**t - 1/4*y**3 + 1/4*y = 0. What is y?
-1, 1
Let x(n) be the third derivative of n**8/1176 + n**7/735 + 8*n**2. Suppose x(b) = 0. Calculate b.
-1, 0
Let d(q) = -2*q - 3*q**2 + 3*q + 0*q**2 + 2*q**2. Let f(u) = -2*u**2 - 7*u. Let a(k) = d(k) + f(k). Factor a(p).
-3*p*(p + 2)
Let w be (-171)/72 + ((-18)/(-3))/2. Let v(u) be the first derivative of 1/2*u + 3 + 1/16*u**4 + w*u**2 + 1/3*u**3. Solve v(l) = 0 for l.
-2, -1
Let t(h) be the third derivative of -h**5/30 + h**4/6 - h**3/3 + 28*h**2. Factor t(n).
-2*(n - 1)**2
Let p = -38 + 44. Let g(r) be the third derivative of 0 + 1/25*r**5 + 1/40*r**4 + 0*r - 1/15*r**3 + r**2 + 7/600*r**p. Factor g(o).
(o + 1)**2*(7*o - 2)/5
Let k be (1/8)/(8/32). What is v in -1/2 + v - k*v**2 = 0?
1
Let m = -4 + -5. Let b be (6/m)/(8/(-3)). Factor -b*h**2 - 3/4*h - 1/2.
-(h + 1)*(h + 2)/4
Let f(i) = -i + 5. Let p(b) = b - 5. Let a(o) = 6*f(o) + 7*p(o). Let s be a(7). Factor -160/7*r**3 + 144/7*r**s - 6*r + 4/7.
-2*(4*r - 1)**2*(5*r - 2)/7
Suppose -4*t = -12, 5*g - 49*t + 47*t - 9 = 0. Factor -2/3 + 2/3*q**2 + 2/3*q - 2/3*q**g.
-2*(q - 1)**2*(q + 1)/3
Suppose 8/7 - 2/7*m - 8/7*m**2 + 2/7*m**3 = 0. Calculate m.
-1, 1, 4
Let h(v) = 5*v**4 - 24*v**3 - 9*v**2 + 32*v + 4. Let d(u) = -4*u**4 + 24*u**3 + 9*u**2 - 31*u - 2. Let b(z) = 4*d(z) + 5*h(z). Factor b(p).
3*(p - 2)**2*(p + 1)*(3*p + 1)
Let n(h) be the third derivative of 6*h**2 - 1/42*h**4 + 0*h + 1/21*h**3 + 1/210*h**5 + 0. Suppose n(y) = 0. Calculate y.
1
Determine i so that 37*i**2 - 5*i**4 + 10*i + 4 + 3*i**4 - 31*i**2 - 2*i**3 = 0.
-1, 2
Let d(k) be the second derivative of 1/2*k**4 + 2/3*k**3 + 1/2*k**2 + 0 + 1/5*k**5 + k + 1/30*k**6. Let d(n) = 0. Calculate n.
-1
Let h(o) be the first derivative of -49*o**6/30 + 7*o**5/5 - o**4/3 - 6*o - 9. Let k(q) be the first derivative of h(q). Solve k(i) = 0.
0, 2/7
Determine b so that -26/7*b**2 + 10*b**4 - 100/7*b**5 - 40/7*b - 8/7 + 104/7*b**3 = 0.
-1/2, -2/5, 1
Let q(t) = 3*t**3 + 6*t**2 + 3*t - 1. Let x(r) be the third derivative of -r**6/120 + r**4/24 - r**3/6 + r**2. Let f(l) = -q(l) + x(l). Factor f(m).
-2*m*(m + 1)*(2*m + 1)
Let q(w) be the first derivative of -98*w**5/85 + 63*w**4/17 - 40*w**3/17 + 8*w**2/17 - 2. Factor q(f).
-2*f*(f - 2)*(7*f - 2)**2/17
Suppose -n = -n - n. Let t(j) be the first derivative of 0*j + 0*j**5 - 1/3*j**3 + n*j**2 + 3/4*j**4 - 2/3*j**6 + 3. Let t(p) = 0. Calculate p.
-1, 0, 1/2
Let p(g) be the third derivative of 1/21*g**3 + 1/105*g**5 + 0*g - 1/28*g**4 - 3*g**2 + 0. Factor p(f).
2*(f - 1)*(2*f - 1)/7
Solve 4/5 - 6/5*h + 2/5*h**2 = 0.
1, 2
Let v = 2/11 + 5/33. Let u(z) be the first derivative of v*z**3 - 1/2*z**2 + 0*z - 1. Factor u(n).
n*(n - 1)
Factor 0*v + 276 - 279 - 3*v + 3*v**3 + 3*v**2.
3*(v - 1)*(v + 1)**2
Let q = 6730/7551 + -2/839. Factor -2/9*f**5 - 2/9*f - q*f**4 - 4/3*f**3 + 0 - 8/9*f**2.
-2*f*(f + 1)**4/9
Let a(g) be the first derivative of g**6/30 - 2*g**5/25 + 2*g**3/15 - g**2/10 + 1. What is n in a(n) = 0?
-1, 0, 1
Let m(g) be the third derivative of 0 + 0*g + 0*g**3 + 1/840*g**7 + 0*g**6 + 0*g**4 + 0*g**5 - 3*g**2. Solve m(s) = 0 for s.
0
Factor 0*c**2 - 3*c**2 + 6*c**3 + 3*c - 6 - 18*c.
3*(c - 2)*(c + 1)*(2*c + 1)
Let j(l) = -l**3 - 2*l**2 + 3*l + 3. Let q be j(-3). Let f be q/2 + -12 + 11. Factor -1/2*v**2 + 1/2*v + f - 1/2*v**3.
-(v - 1)*(v + 1)**2/2
Let l(x) be the first derivative of -3*x**5/5 - 15*x**4/4 - 7*x**3 - 9*x**2/2 + 60. Factor l(w).
-3*w*(w + 1)**2*(w + 3)
Let z(f) be the second derivative of f**4/12 + f**3/3 + f**2 - 2*f. Let a be z(-3). Factor 6*n**3 + 3*n**2 + 2*n**4 - 2*n**a + 4*n - 10*n**2 - 3*n**2.
-2*n*(n - 1)**3*(n + 2)
Suppose 4*a + 5*f + 20 = 0, -2*f + 0*f = -3*a + 8. Let v(t) be the second derivative of t - t**3 + a + 0*t**2 - 1/4*t**4. Factor v(x).
-3*x*(x + 2)
Find y such that 0 + 1/4*y + 1/4*y**2 - 1/4*y**3 - 1/4*y**4 = 0.
-1, 0, 1
Let p(w) be the second derivative of -w**6/45 + 2*w**5/5 - 5*w**4/3 - 100*w**3/9 + 125*w**2 + 64*w. Factor p(z).
-2*(z - 5)**3*(z + 3)/3
Let x(y) = -y**2 - 3*y + 22. Let v be x(-6). Suppose 2/13*u**5 - 2/13*u**3 + 4/13*u**v + 0 + 0*u - 4/13*u**2 = 0. What is u?
-2, -1, 0, 1
Let l be 96*(2 + 8/(-6)). Suppose -l = -5*b + 36. Factor b*z**3 - 2 + 7*z**5 + 10*z - 2*z**4 - 5*z**5 - 20*z**2 - 8*z**4.
2*(z - 1)**5
Let 8/7*b + 40/7*b**2 - 4/7*b**4 - 2*b**5 + 0 + 6*b**3 = 0. Calculate b.
-1, -2/7, 0, 2
Let p(h) = h - 11. Let g be p(13). Solve -3/2 + 1/2*s**g + s = 0.
-3, 1
Let f(o) be the second derivative of o**5/8 + 5*o**4/12 - 5*o**3/3 - 10*o**2 + 27*o. Factor f(j).
5*(j - 2)*(j + 2)**2/2
Let q be -10*(-8)/240 + 2/(-6). Factor -3/5*s**5 - 3/5*s + q*s**4 + 6/5*s**3 + 0 + 0*s**2.
-3*s*(s - 1)**2*(s + 1)**2/5
Suppose 4*w = 0, -s = -3*s - 4*w. Let b(v) be the second derivative of -1/12*v**4 - 1/10*v**5 + 2*v + 1/2*v**2 + 1/3*v**3 + s. Factor b(i).
-(i - 1)*(i + 1)*(2*i + 1)
Let 1/8 + 1/8*h**4 - 1/2*h + 3/4*h**2 - 1/2*h**3 = 0. What is h?
1
Let o = 98/39 - -2/13. Let y(r) be the first derivative of r**2 + 8/5*r**5 + 1/3*r**6 + o*r**3 + 3*r**4 + 0*r - 2. Find k, given that y(k) = 0.
-1, 0
Solve 27/5*p - 9/5*p**2 - 3/5*p**3 + 81/5 = 0.
-3, 3
Let j(o) be the first derivative of o**2 - 1/2*o**4 + 3 + 4/3*o**3 - 4*o. Factor j(t).
-2*(t - 2)