 r.
-1/3, 0, 1
Suppose -3*r = 3*z - 15, -5*z - 15 = -5*r + 2*r. Let i(s) be the first derivative of 5/6*s**6 + 4*s**4 + 0*s**2 - 4/3*s**3 - 2 + z*s - 17/5*s**5. Factor i(g).
g**2*(g - 2)*(g - 1)*(5*g - 2)
Let f(h) be the second derivative of h**10/90720 - h**9/22680 + h**7/3780 - h**6/2160 + h**4/12 + 2*h. Let n(s) be the third derivative of f(s). Factor n(v).
v*(v - 1)**3*(v + 1)/3
Let q(t) = -5*t**2 + 3*t. Let c(x) = x**2 - x. Let w be -2*(0 + -1 + 0). Let j be 4/(-10)*w*-5. Let r(i) = j*c(i) + q(i). Determine g so that r(g) = 0.
-1, 0
Let k(u) be the third derivative of -u**5/10 - 3*u**4/8 - u**3/2 + 7*u**2. Suppose k(x) = 0. What is x?
-1, -1/2
Let s(v) be the second derivative of v**8/4200 + v**7/1050 - v**5/150 - v**4/60 - 7*v**3/6 - v. Let d(i) be the second derivative of s(i). Factor d(l).
2*(l - 1)*(l + 1)**3/5
Suppose -5*v - 9 + 29 = 0. Solve -4*t**v + 14*t**2 - 6 - 8*t**3 + 2 + 8*t + 2*t**2 - 8*t**4 = 0.
-1, 1/3, 1
Suppose 4 + 0 = 4*x. Let d = x + 1. What is s in 4 - d*s**4 - s - 4 + s**5 + 2*s**2 = 0?
-1, 0, 1
Let k(u) be the third derivative of 0 + 1/6*u**3 + 3/16*u**4 + 1/30*u**5 - 2*u**2 + 0*u. Factor k(c).
(c + 2)*(4*c + 1)/2
Let b(j) = j**4 - j**3 - j**2 - j. Let w(k) be the second derivative of -k**5/5 - 6*k. Let n = -4 - -6. Let g(s) = n*b(s) - w(s). Find y, given that g(y) = 0.
-1, 0, 1
Let w = 3 - 1. Suppose w*v + 1 - 13 = 0. Solve 3*c**2 + c + 0*c**2 - c**3 + c**4 - v*c**2 + 2*c**2 = 0 for c.
-1, 0, 1
Let c(h) be the first derivative of 1/6*h**4 + 0*h**2 - 4 + 1/10*h**5 + 2*h + 0*h**3. Let o(y) be the first derivative of c(y). Factor o(t).
2*t**2*(t + 1)
Let t be 1/5 + (-762)/1560. Let p = -1/26 - t. Factor -1/4*h**2 - p - 1/2*h.
-(h + 1)**2/4
Let r = 20 - 17. Let l(q) be the third derivative of 1/840*q**7 + 0*q + 0*q**r - 1/480*q**6 + 1/96*q**4 - 1/240*q**5 + 0 - q**2. Find d, given that l(d) = 0.
-1, 0, 1
Let c(h) be the second derivative of -h**4/54 - 7*h**3/27 - 2*h**2/3 - 6*h. Factor c(j).
-2*(j + 1)*(j + 6)/9
Let d(u) = -3*u**2 + 1. Let h(w) be the second derivative of 5*w**4/6 - 3*w**2/2 + 2*w. Let v(c) = 7*d(c) + 2*h(c). Determine g, given that v(g) = 0.
-1, 1
Let k be 10/3*(4 + -1). Suppose 0*r - c - 2 = 2*r, -5*r + 5*c + k = 0. Let r*p - 1/2*p**4 + 0 + p**3 - 1/2*p**2 = 0. What is p?
0, 1
Let n be (-2)/12 + ((-20)/24)/(-5). Factor -2/3*a**4 + 0*a**3 + 0*a + 2/3*a**2 + n.
-2*a**2*(a - 1)*(a + 1)/3
Let u(z) be the second derivative of -z**9/1008 + z**8/420 - z**7/840 + z**3/6 + 4*z. Let d(o) be the second derivative of u(o). Factor d(n).
-n**3*(n - 1)*(3*n - 1)
Suppose 0 = -5*q + 3*m + 26, -4*m + 10 = 3*q - 3*m. Let r(u) be the second derivative of 1/4*u**5 - 5/6*u**3 - u**2 + 0 + 1/6*u**q - u. Factor r(a).
(a - 1)*(a + 1)*(5*a + 2)
Let p(x) = -3*x - 3. Let u be p(-2). Factor -u*v**2 + 4*v**2 - 3*v + 3*v**3 - v**2.
3*v*(v - 1)*(v + 1)
Suppose -2*l = o + 5, -2*l + 1 - 3 = 2*o. Suppose -p + o*k + 4 = 11, 5 = -5*p + 5*k. Factor h**2 - 2*h - 3 + 2 + p.
(h - 1)**2
Factor -2/3*u**2 - 8/9 + 10/9*u**3 - 8/3*u.
2*(u - 2)*(u + 1)*(5*u + 2)/9
Suppose -5*u - 2*m - 20 = 0, -2*u - 8 = -0*u + 5*m. Let v be (-8)/(-36) + u/(-9). Find p, given that -1/3 - v*p - 1/3*p**2 = 0.
-1
Suppose k + 12 = 4*k. Solve 3*y**5 + 5*y + 3*y**4 - 10*y**3 - 2 + 2*y**5 - 5*y**4 + k*y**2 = 0 for y.
-1, 2/5, 1
Suppose -2*v - 4 = -3*j, -2*v + 8 = 2*j + 2*v. Factor 2*m**2 + 3*m + 6*m**j - 5*m**2.
3*m*(m + 1)
Suppose 32 = -3*x + 5*x. Suppose -3*n - b + x = n, 2*n - 4*b - 26 = 0. What is i in -5*i**n + i**3 + i**4 + i**4 + 6*i**5 = 0?
-1, 0
Suppose -4*z**2 + 10*z**4 - 2*z**5 - 601*z**3 - 3*z**5 + 606*z**3 - 6*z**2 = 0. Calculate z.
-1, 0, 1, 2
Let a(w) be the first derivative of -w**3/18 - w**2/6 + w/2 - 11. Factor a(o).
-(o - 1)*(o + 3)/6
Suppose 4 = a + y - 1, -a - 5 = -y. Let k(z) be the first derivative of -1/2*z**4 + 1 - 4/3*z**3 + a*z - z**2. Factor k(c).
-2*c*(c + 1)**2
Suppose 4*u = 4*x + 20, -3*x - 4 = x. Factor -z**4 + z**3 - u*z + 4*z.
-z**3*(z - 1)
Let c(r) be the third derivative of -r**5/80 - r**4/16 - 35*r**2. Let c(s) = 0. Calculate s.
-2, 0
Let q be (-1)/(3/24)*-1. Let f = q + -6. Suppose 2*a**2 + 3*a**4 + 0*a**2 - 2*a**4 + 0*a**f - 3*a**3 = 0. What is a?
0, 1, 2
Suppose -3*m - 4*i = -22, 2*m - 5*i + 4 = -12. Factor 3*d**3 + 2*d**3 - 3*d**m + 2*d - 2*d**3 - 2*d**3.
d*(d - 2)*(d - 1)
Let l(z) = 6*z**3 + 4*z**2 - 7*z. Let t(w) = -5*w**3 - 3*w**2 + 6*w. Let q(x) = 4*l(x) + 5*t(x). Factor q(g).
-g*(g - 2)*(g + 1)
Let a(r) = r**3 - r - 1. Let v be a(2). Let 9*j**3 - v*j**3 + 3*j**4 + 2*j + j**4 - 5*j**4 - 5*j**2 = 0. What is j?
0, 1, 2
Let r(t) be the first derivative of -4*t**5/15 - 2*t**4/3 - 4*t**3/9 - 10. Factor r(i).
-4*i**2*(i + 1)**2/3
Let u(b) be the first derivative of b**4/48 + b**3/12 + b**2/8 + b + 6. Let p(c) be the first derivative of u(c). Let p(g) = 0. What is g?
-1
Let g = -65/21 - -24/7. Factor 0 - 1/3*p**4 + 0*p + 2/3*p**3 - g*p**2.
-p**2*(p - 1)**2/3
Let f(b) be the first derivative of -2 + 1/2*b**2 + 1/4*b**3 + 2*b - 35/24*b**4. Let h(l) be the first derivative of f(l). Suppose h(r) = 0. Calculate r.
-1/5, 2/7
Suppose 3*s + 0*s - 15 = 0. Suppose 3*m**4 + m**s + m**2 - 18*m + 18*m + 3*m**3 = 0. Calculate m.
-1, 0
Factor 0 + 2/9*z**4 - 2/3*z**3 + 4/9*z**2 + 0*z.
2*z**2*(z - 2)*(z - 1)/9
Suppose -3*v = 7 - 61. Suppose -3*r - v = -9*r. Find p such that 2/9*p**5 + 0*p - 2/3*p**4 + 0 + 2/3*p**r - 2/9*p**2 = 0.
0, 1
Suppose 2 = -m + 7. Suppose m*w = 5*v, v + 4 = 4*w - w. Factor 5*g**2 + g + 7*g**w + g - 4*g**2.
2*g*(4*g + 1)
Let d(x) be the second derivative of 0 + 1/40*x**5 + 0*x**3 - 7*x + 1/120*x**6 + 0*x**2 + 1/48*x**4. Factor d(m).
m**2*(m + 1)**2/4
Let n(s) be the second derivative of -5/42*s**7 - 1/60*s**4 - 8/15*s**3 + 0 + 41/100*s**5 - 3*s - 2/5*s**2 + 1/30*s**6. Suppose n(c) = 0. Calculate c.
-1, -2/5, 1
Let v(f) be the first derivative of 3*f**5/5 - 3*f**3 + 3*f**2 + 6. Factor v(i).
3*i*(i - 1)**2*(i + 2)
Suppose 0 = 2*w - 3*w. Let c(l) be the first derivative of -1/10*l**4 - 1 - 2/15*l**3 + w*l + 2/5*l**2. Let c(o) = 0. What is o?
-2, 0, 1
Let m = -4/21 + 6/7. Let 2/3*g - 4/3 + m*g**2 = 0. What is g?
-2, 1
Let j(i) = -i**3 - i + 3. Let l be j(0). Let z be (0/l + -1)*-2. Find x, given that x**2 + 2*x**2 + 3 - 5*x**z - x**2 = 0.
-1, 1
Let s(r) be the second derivative of -r**6/120 + r**4/24 - r**2/8 + 2*r - 5. Factor s(v).
-(v - 1)**2*(v + 1)**2/4
Let q(w) be the first derivative of -3/70*w**5 - 3/2*w**2 + 0*w + 2/21*w**3 - 2 + 1/12*w**4. Let d(t) be the second derivative of q(t). Factor d(c).
-2*(c - 1)*(9*c + 2)/7
Suppose 0 = 9*w - 8*w. Let t(h) be the third derivative of 0*h**3 - 2*h**2 - 1/24*h**4 + w*h - 1/60*h**5 + 0. Determine v so that t(v) = 0.
-1, 0
Let t(c) be the first derivative of -3*c**5/5 + c**3 + 9. What is w in t(w) = 0?
-1, 0, 1
Suppose -10*l - 3/4*l**2 + 7 = 0. Calculate l.
-14, 2/3
Let t(v) = -3*v**3 + v + 1. Let x be t(-1). Factor -6*s**4 + s**3 - 2 + 2 + 3*s**5 + 2*s**x.
3*s**3*(s - 1)**2
Factor 1/4*z + 0 + 1/4*z**3 + 1/2*z**2.
z*(z + 1)**2/4
Let j(v) = 17*v**2 - 17. Let k(b) = -4*b**2 + 6. Let s(x) = -7*x**2 + 12. Let c(q) = -5*k(q) + 2*s(q). Let a = 19 - 30. Let g(y) = a*c(y) + 4*j(y). Factor g(l).
2*(l - 1)*(l + 1)
Let g be (-26)/(-36) + 27/(-54). Factor -2/9*j**2 + 0 + 2/9*j**3 - 2/9*j + g*j**4.
2*j*(j - 1)*(j + 1)**2/9
Let w(h) = -h**2 - 4*h. Let p be w(-3). Determine b so that -b**5 - b**2 + p*b**5 - 3*b**2 + 3*b**4 + b**4 - 2*b = 0.
-1, 0, 1
Suppose 0 = -i + 4*i - 12. Factor -i*h - 2*h**2 + 2*h**2 - 2*h**2.
-2*h*(h + 2)
Suppose 4*p**5 + 8 + 2*p**4 - 14*p**3 - 3*p - 4 - 14*p**2 + 5*p = 0. What is p?
-1, 1/2, 2
Let i(d) be the second derivative of -d**6/180 + d**4/24 - d**3/18 - 7*d - 2. Factor i(x).
-x*(x - 1)**2*(x + 2)/6
Determine f, given that -1/4 + 3/4*f - 1/2*f**2 - 1/2*f**3 + 3/4*f**4 - 1/4*f**5 = 0.
-1, 1
Suppose 0 = -10*u + 5*u + 2*d + 15, d = 2*u - 6. Factor -9*j**2 + 6*j**u + 6*j**5 - 7*j**2 - 2*j**5 + 26*j**3 - 20*j**4.
4*j**2*(j - 2)**2*(j - 1)
Let u(c) be the third derivative of 2*c**6/15 + 2*c**5/5 - 5*c**4/8 + c**3/3 + 12*c**2. Factor u(z).
(z + 2)*(4*z - 1)**2
Let v = -2 - -3. Factor -1/2*f**2 - 1/2*f + v.
-(f - 1)*(f + 2)/2
Suppose -9 = 4*t + 5*k, k + 6 = -2*t - 3*k. Let j = t + 3. Factor 4/9 - 26/9*i + 40/9*i**j.
2*(4*i - 1)*(5*i - 2)/9
Let i be -5 + (-17)/(-2) + -3. Le