uppose -5 = -2*w + w. Let b(k) = w*c(k) - 3*p(k). Find t, given that b(t) = 0.
0
Let h(o) be the second derivative of -1/10*o**6 + 9/20*o**5 + 1/2*o**3 + 2*o - 3/4*o**4 + 0 + 0*o**2. Factor h(m).
-3*m*(m - 1)**3
Let u(z) = -11*z**3 - 15*z**2 + 21*z - 9. Let j(t) = -5*t**3 - 7*t**2 + 11*t - 5. Let a(l) = 7*j(l) - 3*u(l). Factor a(m).
-2*(m - 1)**2*(m + 4)
Suppose 0 = -m + 5*v - 2, 7 = 4*v + 3. Factor -5*j**2 + 4*j - j**2 + 0*j**m + 2*j**3.
2*j*(j - 2)*(j - 1)
Let u be (-6)/(-33) + (-21)/(-66). Let n(b) be the first derivative of 3 + 0*b + 1/6*b**6 - 1/2*b**4 + 0*b**5 + u*b**2 + 0*b**3. Solve n(c) = 0 for c.
-1, 0, 1
Let f = 1/703 - -598/73815. Let j(s) be the third derivative of 0*s - 1/420*s**6 + 0 + 3*s**2 + 0*s**3 + 0*s**4 + f*s**5. Factor j(p).
-2*p**2*(p - 2)/7
Suppose 5*r - 10 = 10. Find l such that r*l**3 - 2*l**5 + 5 + 5*l - 5 - 7*l = 0.
-1, 0, 1
Let g be 3 - (3/9 + 0)*3. Factor 0*q + 0*q**g + 0 + 1/4*q**4 + 1/4*q**3.
q**3*(q + 1)/4
Determine h, given that 2/15*h**2 + 2/5 + 2/3*h - 2/15*h**3 = 0.
-1, 3
Find t, given that -57*t - 45*t**2 + 27*t - 10 - 25*t = 0.
-1, -2/9
Let w = 366 + -4022/11. Factor 4/11*k - w*k**3 + 2/11*k**4 + 0*k**2 - 2/11.
2*(k - 1)**3*(k + 1)/11
Let n(y) be the second derivative of 1/5*y**5 + 0 - 1/10*y**6 - 2*y + 0*y**2 - 1/3*y**3 + 1/12*y**4. Factor n(x).
-x*(x - 1)**2*(3*x + 2)
Let s be 12/6 + -2 + 6. Let i(z) be the second derivative of -1/21*z**3 + 0*z**2 - 1/42*z**4 + 1/70*z**5 - z + 0 + 1/105*z**s. Find d, given that i(d) = 0.
-1, 0, 1
Suppose 0*p + p - 20 = 0. Suppose 2*k + 3*k = p. Suppose -5*v**2 + v**4 + 5*v**k + 7*v**2 - 2*v**5 - 6*v**3 = 0. Calculate v.
0, 1
Suppose 47*z = 52 + 42. Suppose -2/9*n + 4/9*n**z - 2/9 = 0. What is n?
-1/2, 1
Let l(y) = -y**3 - 16*y**2 - 16*y - 10. Let v be l(-15). Let m(f) be the second derivative of 0*f**2 + 4*f - 1/5*f**4 + 9/50*f**v + 1/15*f**3 + 0. Factor m(c).
2*c*(3*c - 1)**2/5
Factor -19*m**4 - 120 + 27*m**4 - 20*m - 13*m**4 + 12*m**2 + 5*m**3 + 38*m**2.
-5*(m - 3)*(m - 2)*(m + 2)**2
Let s(a) be the second derivative of 3*a**7/56 - a**6/10 - 3*a**5/10 + 3*a**4/8 + 5*a**3/8 - 3*a**2/4 + 11*a. Find v such that s(v) = 0.
-1, 1/3, 1, 2
Let g(q) be the first derivative of -q**4/8 + 5*q**3/6 - q**2/2 - 4*q - 4. Find c such that g(c) = 0.
-1, 2, 4
Let x(c) be the third derivative of -c**5/12 - 5*c**4/6 - 10*c**3/3 - 6*c**2. Determine b so that x(b) = 0.
-2
Let n(l) be the third derivative of -l**5/150 + 2*l**4/15 - 16*l**3/15 - 7*l**2. Factor n(y).
-2*(y - 4)**2/5
Let z be (0 - 3/2) + 7095/4290. Suppose 0 - 2/13*q**3 + 2/13*q + z*q**4 - 2/13*q**2 = 0. What is q?
-1, 0, 1
Let t(x) be the first derivative of x**4/24 + x**3/9 - 4. Factor t(r).
r**2*(r + 2)/6
Factor 2*u**2 - 78*u**4 + 79*u**4 - 3*u**2 + 0*u - u**3 + u.
u*(u - 1)**2*(u + 1)
Suppose 2 = -2*f + 2*v, -5*v + 23 = 4*f - 0*v. Factor 0*p - 4 + 8*p**f - 2*p**3 - 4*p**3 + 5*p - 3*p.
-2*(p - 1)**2*(3*p + 2)
Suppose 6/7*h**2 + 0 + 27/7*h**3 + 0*h = 0. Calculate h.
-2/9, 0
Let b(c) be the third derivative of -c**7/630 - c**6/120 + c**5/36 + c**4/24 - 2*c**3/9 - 5*c**2. What is z in b(z) = 0?
-4, -1, 1
Let r be 0 + -4 - 40/(-9). Factor r*x + 0 + 2/9*x**2 - 2/3*x**3.
-2*x*(x - 1)*(3*x + 2)/9
Let n = 5 + -8. Let f = n + 6. Determine c so that 4*c**2 - f*c**2 - 3*c**2 + c**3 = 0.
0, 2
Suppose 2*u = 5*u - 15. Suppose 4*d = 3*t + u, -d - 2*d + 5 = -2*t. Suppose -10*c**2 + 4*c**2 - c**t + 0*c**5 - 2*c**5 + 9*c**3 = 0. Calculate c.
-2, 0, 1
Factor -3/8 + 3/8*b**2 + 0*b.
3*(b - 1)*(b + 1)/8
Let y(m) be the third derivative of -m**4/24 - 5*m**3/6 + m**2. Let a be y(-7). Suppose -b + 1 + 2*b - b - b**a = 0. Calculate b.
-1, 1
Let m = 181 + -1081/6. Let v(w) be the second derivative of 0 - w**2 + 7/12*w**4 - m*w**3 + 2*w. Determine s so that v(s) = 0.
-2/7, 1
Suppose 4/5 + 28/5*p + 49/5*p**2 = 0. What is p?
-2/7
Let c(f) = 2*f**3 + 4*f**2 + 3. Let t(a) = -4*a**3 - 8*a**2 - 5. Suppose 0*y + 3*y - 9 = 4*o, 3*o - 4*y + 5 = 0. Let l(j) = o*t(j) - 5*c(j). Factor l(m).
2*m**2*(m + 2)
Let c(u) be the third derivative of -u**7/420 + u**6/36 - 7*u**5/60 + u**4/4 + 4*u**3/3 + 7*u**2. Let t(n) be the first derivative of c(n). Factor t(v).
-2*(v - 3)*(v - 1)**2
Let m(l) be the second derivative of l**4/48 + 5*l**3/24 + 3*l**2/4 - 4*l. Let m(i) = 0. What is i?
-3, -2
Let o(h) be the third derivative of 0 + 0*h - 1/30*h**5 - 5*h**2 + 0*h**4 + 1/120*h**6 + 0*h**3. Factor o(g).
g**2*(g - 2)
Factor -3/4*y - 1/4*y**3 + y**2 + 0.
-y*(y - 3)*(y - 1)/4
Let s(b) be the third derivative of -b**6/2340 + b**4/156 - 7*b**3/6 - 3*b**2. Let t(o) be the first derivative of s(o). Suppose t(i) = 0. What is i?
-1, 1
Let y(p) = -3*p**2 + 8*p**2 - 16*p**4 - 6*p - 5*p. Let m(g) = -g - 12. Let u be m(-8). Let n(f) = 3*f**4 - f**2 + 2*f. Let v(h) = u*y(h) - 22*n(h). Factor v(j).
-2*j**2*(j - 1)*(j + 1)
Let x be 3/(5*3)*(-5)/(-3). Let h = -11/3 - -4. Factor 0 + 1/3*z - h*z**2 - 1/3*z**3 + x*z**4.
z*(z - 1)**2*(z + 1)/3
Let h(r) be the second derivative of -1/48*r**4 - 1/8*r**2 + 0 - 2*r - 1/12*r**3. Let h(m) = 0. Calculate m.
-1
Let w be (-8)/(-6)*((-84)/(-32))/7. Let 1/2*j - w*j**3 + 1 - j**2 = 0. What is j?
-2, -1, 1
Let t(r) be the first derivative of -2*r + 5/2*r**4 - 4 + 8/5*r**5 - 5*r**2 - 2*r**3. Find x, given that t(x) = 0.
-1, -1/4, 1
Suppose 8*r - 2*r = 0. Let f(h) be the second derivative of r + 0*h**2 + 1/42*h**7 + 3*h + 0*h**3 - 1/10*h**6 - 1/12*h**4 + 3/20*h**5. Factor f(x).
x**2*(x - 1)**3
Let a(j) be the second derivative of j**4/30 + j**3/5 + 2*j**2/5 - 32*j. Suppose a(t) = 0. What is t?
-2, -1
Let j(d) = 9*d + 3. Let y be j(-2). Let b be (-4)/5*y/6. Determine k so that -4*k**3 + 4*k**2 + k**4 - b*k**2 + k**4 = 0.
0, 1
Suppose -9 = 5*p - 3*l + 10, -3*p = 4*l - 6. Let x = 5 + p. Let 0 + 0*v**2 - 2/7*v - 2/7*v**5 + 4/7*v**x + 0*v**4 = 0. Calculate v.
-1, 0, 1
Let b(r) be the third derivative of -r**5/30 + 4*r**3/3 - 7*r**2. Factor b(a).
-2*(a - 2)*(a + 2)
Let k(m) be the second derivative of -5*m**4/48 - 5*m**3/12 - m - 3. Factor k(f).
-5*f*(f + 2)/4
Let u = -9 + 12. Factor 4*o**u + 1 - 5*o**2 - 3*o**3 - o**2 - o + 3*o**2 + 2*o**4.
(o - 1)*(o + 1)**2*(2*o - 1)
Let l(d) be the second derivative of d**4/42 - 4*d**3/21 + 3*d**2/7 - 7*d. Find j, given that l(j) = 0.
1, 3
Let m(n) be the third derivative of 5/21*n**4 - 4/21*n**3 + 1/60*n**6 - 23/210*n**5 - n**2 + 0*n + 0. Factor m(z).
2*(z - 2)*(z - 1)*(7*z - 2)/7
Let s be 102/(-4)*6/(-9). Suppose -7*u**3 - 5*u**2 - 4*u**2 + s*u**3 + 5*u**2 = 0. Calculate u.
0, 2/5
Let s(p) be the second derivative of p**4/6 + p**3/3 - 2*p**2 - p. Factor s(h).
2*(h - 1)*(h + 2)
Let w(s) be the second derivative of 1/60*s**5 + 0 + 5/18*s**3 - 1/3*s**2 - 1/9*s**4 + s. Factor w(q).
(q - 2)*(q - 1)**2/3
Let a(d) be the first derivative of -4 + 0*d + 0*d**2 + 2/39*d**3. Factor a(i).
2*i**2/13
Let v(g) be the second derivative of -g**7/126 - 4*g**6/45 - 4*g**5/15 - 7*g. Factor v(r).
-r**3*(r + 4)**2/3
Suppose -5/2*c**3 + 0 + 1/2*c**2 - 3/2*c**5 + 0*c + 7/2*c**4 = 0. Calculate c.
0, 1/3, 1
Let y(z) be the first derivative of 3*z**4/5 - 7*z**3/5 + 3*z**2/5 + 3*z/5 - 2. Let y(n) = 0. Calculate n.
-1/4, 1
Let c(v) = -3*v**4 - 6*v**3 - 3*v**2 + 3*v - 3. Let t(q) = -2*q**4 - 5*q**3 - 3*q**2 + 4*q - 4. Let r(g) = 4*c(g) - 3*t(g). Factor r(p).
-3*p**2*(p + 1)*(2*p + 1)
Let k = -68 + 137/2. Factor -k + 1/2*v**2 + 0*v.
(v - 1)*(v + 1)/2
Let w(g) = -13*g**2. Let u(v) = -2*v + 9. Let k be u(7). Let q be (-2)/(-2)*(k - -1). Let o(z) = -6*z**2. Let x(t) = q*w(t) + 9*o(t). Let x(y) = 0. Calculate y.
0
Let q be (3/(-4))/((-20)/16 - -1). Let c(t) be the first derivative of -9/8*t**4 + 3/2*t**q + 0*t - 1 - 3/4*t**2 + 3/10*t**5. Factor c(r).
3*r*(r - 1)**3/2
Let v(w) be the third derivative of w**8/504 - w**7/315 - w**6/180 + w**5/90 + 7*w**2. Factor v(z).
2*z**2*(z - 1)**2*(z + 1)/3
Let g(i) = 19*i**4 + 6*i**3 - 15*i**2 - 6*i. Let m(t) = -18*t**4 - 6*t**3 + 15*t**2 + 6*t. Let k(u) = 3*g(u) + 4*m(u). Factor k(c).
-3*c*(c - 1)*(c + 1)*(5*c + 2)
Let d(g) be the first derivative of -g**7/420 - g**6/240 + g**5/120 + g**4/48 + g**2/2 + 3. Let o(u) be the second derivative of d(u). Factor o(x).
-x*(x - 1)*(x + 1)**2/2
Let r(y) = -14*y**2 - 16*y - 2. Let o(x) = x**2 + x. Let d(z) = -12*o(z) - r(z). Factor d(u).
2*(u + 1)**2
Let s = 16173/4711 + -3/673. Fac