-y + 4*i - 2. Find m such that 4*m**3 - 6*m**2 - y*m**4 + 6*m**2 = 0.
0, 2
Let w(y) = -5*y**3 + 3*y**2 - 4*y + 6. Let u(z) be the first derivative of -7/2*z**2 + 11*z + 5/3*z**3 - 1 - 9/4*z**4. Let f(p) = 6*u(p) - 11*w(p). Factor f(r).
r*(r - 2)*(r - 1)
Let y(k) = k. Let x(r) be the first derivative of r**4 - 8*r**3/3 + 8*r**2 + 7. Let d(q) = -x(q) + 12*y(q). Solve d(o) = 0 for o.
0, 1
Solve -2/17*j**2 - 4/17*j + 2/17*j**3 + 0 = 0 for j.
-1, 0, 2
Let v(b) be the third derivative of -b**6/300 - b**5/150 + b**4/30 - 4*b**2. Let v(o) = 0. Calculate o.
-2, 0, 1
Let x(w) be the third derivative of w**8/840 - w**7/180 + 7*w**6/720 - w**5/120 + w**4/8 + 3*w**2. Let a(g) be the second derivative of x(g). Factor a(h).
(h - 1)*(2*h - 1)*(4*h - 1)
Solve 3/2*i**3 - 7/2*i**2 + 7/2*i**4 + 0 + i - 5/2*i**5 = 0.
-1, 0, 2/5, 1
Find q such that 2/11*q**3 + 10/11*q**2 + 0 - 10/11*q**4 - 2/11*q = 0.
-1, 0, 1/5, 1
Let n = 3/28 + 1/7. Let p = 4 + -2. What is i in -n*i + 0*i**3 - 1/2*i**4 + 1/4*i**5 + 1/2*i**p + 0 = 0?
-1, 0, 1
Find s, given that 2*s**3 + 0*s**3 - 6*s**3 + 2*s**2 + 3*s**3 = 0.
0, 2
Determine t so that -18 + 0*t + 16*t**2 + 4*t + 2*t**3 + 2*t**3 - 6 = 0.
-3, -2, 1
Let t(a) = -5*a - 5 + a**2 + 0*a**2 + 7 - 5*a. Let b be t(10). Suppose y + 0*y**b - y**3 + 1/2 - 1/2*y**4 = 0. What is y?
-1, 1
Suppose 23*p - 27*p - 56 = 0. Let m be 10/(-15) - p/12. Determine y so that -1/2 + y**2 - 1/2*y**5 + y**3 - m*y - 1/2*y**4 = 0.
-1, 1
Let f(l) be the first derivative of 4/21*l**6 + 0*l + 2/21*l**3 + 0*l**2 + 3/7*l**4 + 18/35*l**5 + 3. Factor f(w).
2*w**2*(w + 1)**2*(4*w + 1)/7
Let w(n) be the second derivative of -n**9/30240 + n**7/1680 - n**6/720 + n**4/2 + 6*n. Let h(i) be the third derivative of w(i). Factor h(m).
-m*(m - 1)**2*(m + 2)/2
Let w(t) be the first derivative of 3 + 2/5*t**3 + 1/5*t**2 + 0*t + 3/10*t**4 + 2/25*t**5. Factor w(d).
2*d*(d + 1)**3/5
Let u(w) be the third derivative of -2*w**7/525 + w**6/150 + 26*w**2. Suppose u(d) = 0. What is d?
0, 1
Suppose 3*q + 1 + 2 = 0. Let d = q - -1. Factor 4/3*x**2 - 2/3*x**3 + d - 2/3*x.
-2*x*(x - 1)**2/3
Let y(c) be the first derivative of -c**4/6 - 2*c**3/27 - 20. Factor y(j).
-2*j**2*(3*j + 1)/9
Let f(l) be the first derivative of 3*l**5/5 - l**3 + 14. Solve f(y) = 0 for y.
-1, 0, 1
Let n be 0/((-3)/(-6)*2). Let z = n - -2. Find f, given that z*f**4 - 2*f**4 + 2*f**5 - 2*f**3 = 0.
-1, 0, 1
Let f(o) be the second derivative of -o**8/26880 + o**7/10080 - o**4/4 + 3*o. Let l(d) be the third derivative of f(d). Factor l(s).
-s**2*(s - 1)/4
Suppose -2*i - 3*v + 0 = 11, 0 = -2*i + 4*v + 24. Let q(y) = -3*y**3 - 2*y**2 - y. Let z be q(-1). Factor z*w**i + 6 + 2*w - 6.
2*w*(w + 1)
Factor 32/9*f + 8/9 - 22/9*f**2 - 2*f**3.
-2*(f - 1)*(f + 2)*(9*f + 2)/9
Determine b, given that -15/2*b - 5 + 0*b**2 + 5/2*b**3 = 0.
-1, 2
Let u be (-15)/10*(-8)/6. Let y(s) be the second derivative of 0*s**4 + 1/40*s**5 + 0 + 0*s**u + s - 1/15*s**6 + 0*s**3 + 1/21*s**7. Factor y(h).
h**3*(2*h - 1)**2/2
Let d(s) = 7*s**2 - 2*s - 1. Let m(r) be the second derivative of 13*r**4/12 - 5*r**3/6 - r**2/2 + 3*r. Let j(q) = 7*d(q) - 4*m(q). Factor j(f).
-3*(f - 1)**2
Factor 16/7*b + 0*b**3 + 6/7 - 2/7*b**4 + 12/7*b**2.
-2*(b - 3)*(b + 1)**3/7
Let k(z) = -2*z - 10. Let s be k(-8). Solve -8*v**2 + 3*v - v**5 + s*v**5 + 6*v**3 - 3*v**5 - 3*v**5 = 0.
-3, 0, 1
Let -4/3*u**2 + 5/6*u**3 + 2/3*u + 0 - 1/6*u**4 = 0. Calculate u.
0, 1, 2
Let a = -25 - -30. Let i(k) be the second derivative of 0*k**2 - 3*k - 1/21*k**4 + 1/21*k**3 + 0*k**a + 2/105*k**6 - 1/147*k**7 + 0. Factor i(h).
-2*h*(h - 1)**3*(h + 1)/7
Factor 45/8*o**2 + 0 - 3/2*o**3 + 3/2*o.
-3*o*(o - 4)*(4*o + 1)/8
Let l be (-5)/(-20) - 27/(-4). Let g(o) be the second derivative of 3/35*o**l + 1/5*o**2 + 11/25*o**6 + 3/5*o**3 + o**4 + 0 + 23/25*o**5 + o. Factor g(u).
2*(u + 1)**3*(3*u + 1)**2/5
Let x be (-4)/((-48)/717) - -2. Let t = 62 - x. Factor 1/4 + 1/4*q - t*q**2 - 1/4*q**3.
-(q - 1)*(q + 1)**2/4
Let d be (-6)/(9/2 - 3). Let q(j) = j**2 - 2 + 3*j**4 + j - 2*j - 3*j**3 - 2*j**4. Let o(s) = -s**4 + 2*s**3 + s + 1. Let m(f) = d*o(f) - 3*q(f). Factor m(l).
(l - 1)**2*(l + 1)*(l + 2)
Let z(v) = 4*v**2 - 2*v. Let p(q) = -q**2. Let o(b) = 5*p(b) + z(b). Factor o(h).
-h*(h + 2)
Let x(g) = -g**5 + g**4 - g**3 + g**2 - g - 1. Let r(m) = -6*m**5 + 4*m**4 - 3*m**3 + 7*m**2 - 6*m - 6. Let d(i) = -r(i) + 5*x(i). Solve d(j) = 0.
-1, 1
Let t be (1/(-18))/(64/(-48)). Let j(i) be the second derivative of 0 - 1/48*i**4 + 3*i - t*i**3 + 0*i**2. Factor j(l).
-l*(l + 1)/4
Let l be (-2)/(3 - 12 - -5). Factor l*g**3 - 6*g**2 + 24*g - 32.
(g - 4)**3/2
Let k(t) be the first derivative of 7/6*t**2 + 2/3*t + 5/9*t**3 + 5. Factor k(n).
(n + 1)*(5*n + 2)/3
Let d be 2 + (-5)/((-105)/(-36)). Let g be 16/28 + 1 - 1. Factor g*c - d*c**2 - 2/7.
-2*(c - 1)**2/7
Let t(a) = 4*a**3 - 3*a**2 - 4*a. Let w(p) = -12*p**3 + 8*p**2 + 12*p. Let u(q) = -8*t(q) - 3*w(q). Find f, given that u(f) = 0.
-1, 0, 1
Let z(t) be the first derivative of -4*t**5/5 + 8*t**4 - 32*t**3 + 64*t**2 - 64*t + 6. Factor z(a).
-4*(a - 2)**4
Let b(i) be the second derivative of 3*i**5/40 - i**4/8 - 5*i**3/4 - 9*i**2/4 + 2*i + 33. Factor b(s).
3*(s - 3)*(s + 1)**2/2
Suppose h + 10 = 13. Let z be h/5 - (-3)/(-15). Find o, given that 0 - 4/5*o**2 - z*o - 2/5*o**3 = 0.
-1, 0
Let g(w) = -w - 5. Let h be g(-8). Suppose 2*a = h*d - 6, -8 = 2*a - 2*d - 2*d. What is s in a*s**2 + 0 + 0*s + 2/7*s**3 = 0?
0
Let l = -3 + 3. Suppose 4*i + 4*n - 27 + 11 = l, -4*i + n = -6. Find f such that 6*f**2 + 3 + 4*f - 3 + i*f**3 = 0.
-2, -1, 0
Factor 1/3*z**2 - 1/9*z + 1/9*z**3 - 1/3.
(z - 1)*(z + 1)*(z + 3)/9
Let y(j) be the second derivative of j**7/21 + j**6/5 + j**5/10 - j**4/2 - 2*j**3/3 - 4*j. Solve y(f) = 0.
-2, -1, 0, 1
Let u(m) be the third derivative of -6*m**7/35 - m**6 - 13*m**5/15 + 10*m**4/3 - 8*m**3/3 + 16*m**2. Factor u(o).
-4*(o + 2)**2*(3*o - 1)**2
Let m(v) = v**3 - 5*v**2 + 2*v. Let w(t) = t**3 - 6*t**2 + 2*t. Let p(i) = -3*m(i) + 2*w(i). Factor p(l).
-l*(l - 2)*(l - 1)
Let r(w) = w**2 - w + 3. Let o(z) = -4*z**2 + 5*z - 12. Let h(q) = -6*o(q) - 22*r(q). Find j, given that h(j) = 0.
1, 3
Suppose 2*t = -3*t + 30. Let s be (-8)/t*(-3)/12. Suppose 4/3*j - 4/3*j**2 + s*j**3 + 0 = 0. What is j?
0, 2
Suppose 8/19*f + 10/19*f**3 - 32/19*f**2 + 50/19*f**4 + 0 = 0. What is f?
-1, 0, 2/5
Let i = -1 - 7. Let m be 2*((-10)/i)/5. Let -1/4 - 1/4*u**2 - m*u = 0. What is u?
-1
Let l(j) = 2*j - 6. Let p be l(4). Suppose -2*i = p*n + 2*i + 14, 2*n - 3*i - 21 = 0. Factor -n + 1 - 4*h**4 + 4*h**3 + 6*h**4 - 4*h.
2*(h - 1)*(h + 1)**3
Suppose 0 = 4*z + 8, 4*p + 3*z + 278 = 8*p. Let w = -202/3 + p. What is o in -1/3*o**3 + 0 + w*o + 1/3*o**2 = 0?
-1, 0, 2
Let d be (13 + -13)*(-2)/4. Let d*q + q**2 + 0 + 5/2*q**3 = 0. Calculate q.
-2/5, 0
Suppose 3*h**3 + 4*h + 7 + 0*h + 9*h**2 + 5*h - 4 = 0. What is h?
-1
Let k(a) = -2*a**4 - 5*a**3 - 6*a**2 + 5*a + 3. Let b(h) = 3*h**4 + 6*h**3 + 6*h**2 - 6*h - 3. Let c(s) = 5*b(s) + 6*k(s). Factor c(f).
3*(f - 1)**2*(f + 1)**2
Let f(o) be the first derivative of 1/10*o**2 + 0*o + 5 - 4/15*o**3 - 2/25*o**5 + 1/4*o**4. What is c in f(c) = 0?
0, 1/2, 1
Let b be 14/(-5) + (-3)/(-1). Let p(j) be the second derivative of j + 2/3*j**3 - 4/15*j**6 + 5/8*j**4 + 0 - b*j**5 + 1/4*j**2. What is m in p(m) = 0?
-1, -1/4, 1
Let -10*i**2 + 20*i**2 + 2*i - 5*i**3 - 7*i = 0. Calculate i.
0, 1
Suppose -2*p + 8 = -4*g, -p = 2*g + 3*g - 4. Suppose 135 = 9*c + 108. Factor -1/3 - 1/3*r**p + 4/3*r**c - 2*r**2 + 4/3*r.
-(r - 1)**4/3
Let k(m) be the third derivative of 8*m**7/525 + 9*m**6/25 + 673*m**5/300 - 63*m**4/20 + 49*m**3/30 - m**2. Factor k(p).
(p + 7)**2*(4*p - 1)**2/5
Let n(j) be the first derivative of j**5/5 - 3*j**4/20 + 20. Factor n(k).
k**3*(5*k - 3)/5
Suppose 0*s = -5*s + 10. Let z be (-1 + 7)/(-3) + s. Determine l so that 0 + 0*l**2 - 1/2*l**4 - 3/2*l**5 + l**3 + z*l = 0.
-1, 0, 2/3
Let o(t) be the second derivative of -3*t**5/40 - t**4/4 - 3*t. Solve o(l) = 0 for l.
-2, 0
Let n = 14 + -9. Suppose 5*o - 3*k = -6, o = 5*k - n - 5. Factor 1/4*v**3 + 1/4*v**2 + 0*v + o.
v**2*(v + 1)/4
Factor 0 + g**5 + 4*g + 0 - 3*g**3 - 2*g - g**4 + g**2.
g*(g - 2)*(g - 1)*(g + 1)**2
Let s = -1 + 3. Solve -2 - 1 + 6*w**3 - s*w**4 + 5*w**4 - 6*w = 0 for w.
-1, 1
Factor -26/19*j*