e the first derivative of -7 + 6 + 2*z**2 + 2*z**3 + 5. Let t(w) = 0. What is w?
-2/3, 0
Let w be 1 - 0 - (-4)/1. Let f be 1/w - 13/(-35). Factor 2/7 - 4/7*l - 2/7*l**4 + f*l**3 + 0*l**2.
-2*(l - 1)**3*(l + 1)/7
Factor 2/11 - 4/11*t + 2/11*t**2.
2*(t - 1)**2/11
Let s(n) = -6*n**2 + 4*n + 2. Let a(q) = 6*q + 4 + q + 5*q**2 - 6*q**2 - 10*q**2. Let j(d) = 4*a(d) - 7*s(d). Factor j(t).
-2*(t - 1)*(t + 1)
Factor 14*k**3 + k**4 - 12*k**2 - 5*k**4 + 7*k**3 - 3*k**5 - 2*k**4.
-3*k**2*(k - 1)**2*(k + 4)
Let n(u) = -u - 15. Let r be n(0). Let h(c) = -2*c**3 - 9*c**2 + 5*c. Let t(f) = f**3 + 4*f**2 - 2*f. Let g(o) = r*t(o) - 6*h(o). Factor g(j).
-3*j**2*(j + 2)
Suppose -66 = -4*s - 66. Factor -1/5*f**5 + 3/5*f**3 - f**2 + 2/5*f + s + 1/5*f**4.
-f*(f - 1)**3*(f + 2)/5
Suppose 25*x = 23*x. Let v(q) be the first derivative of x*q**4 + 0*q - q**2 + 4/3*q**3 + 1/3*q**6 + 1 - 4/5*q**5. Solve v(l) = 0.
-1, 0, 1
Suppose -5*o - 12 = -3*o. Let b be (-50)/(-135)*o/(-5). Let b*i + 0 - 10/9*i**2 = 0. What is i?
0, 2/5
Factor -6*y**4 + 4*y**4 - 12*y**2 - 2 + 2*y + 8*y**3 + 6*y.
-2*(y - 1)**4
Factor 8/5*z**2 - 8/5*z**3 + 0*z + 2/5*z**4 + 0.
2*z**2*(z - 2)**2/5
Let u(o) be the second derivative of o**6/480 + o**5/240 - o**4/96 - o**3/24 - o**2 + 2*o. Let t(b) be the first derivative of u(b). Factor t(r).
(r - 1)*(r + 1)**2/4
Let u(b) = b**2 + 2*b + 3. Let o be u(-2). Find k such that -2*k**2 + 6*k**o + 4*k**2 + 2*k + 4*k**2 + 2*k**4 = 0.
-1, 0
Let y(d) = d**3 - d**2 + d + 1. Let k(g) = 5*g**4 - 9*g**3 - 16*g**2 + 16*g - 4. Let q(w) = -k(w) - 4*y(w). Factor q(a).
-5*a*(a - 2)*(a - 1)*(a + 2)
Let z(k) = -k - 9. Let i be z(-7). Let v = 5 + i. Factor -3*n + v*n**3 + 0 + 0.
3*n*(n - 1)*(n + 1)
Let z(w) be the first derivative of -w**4/48 - w**3/6 - 3*w**2/8 + 10*w - 2. Let d(o) be the first derivative of z(o). Suppose d(r) = 0. Calculate r.
-3, -1
Let q(s) be the second derivative of -s**4/30 + s. Find l, given that q(l) = 0.
0
Let i(a) be the first derivative of -a**8/448 + a**7/140 - a**5/40 + a**4/32 + 2*a**2 + 2. Let u(n) be the second derivative of i(n). What is f in u(f) = 0?
-1, 0, 1
Suppose -3*s - 14 = -10*s. Factor -2/5*a**s + 4/5*a + 0.
-2*a*(a - 2)/5
Suppose 12 = y + 3. Let q be 46/14 - (y + -6). Factor -2/7*l**3 - 2/7*l**2 + q + 2/7*l.
-2*(l - 1)*(l + 1)**2/7
Let t(k) be the second derivative of k**7/42 + k**6/10 + k**5/10 - k**4/6 - k**3/2 - k**2/2 - 11*k. Determine x so that t(x) = 0.
-1, 1
Suppose 2*p - 8 = -4. Suppose 4*i - 2 = 3*i. Factor 2*l**3 + 2*l**p + l**3 - i*l**3 - 3*l**3 + 2*l - 2.
-2*(l - 1)**2*(l + 1)
Let g(b) = 6*b**2 - 8*b + 6. Let h(x) = -6*x**2 + 7*x - 5. Let o(u) = 5*g(u) + 6*h(u). Suppose o(r) = 0. Calculate r.
0, 1/3
Let -8*n**2 - 5/4*n**5 - 8*n + 7*n**3 + 4 + 7/4*n**4 = 0. What is n?
-2, -1, 2/5, 2
Suppose -5*j = -8*j - 6. Let v be (j/(-7))/(30/70). Factor 0*i + v*i**4 + 4/3*i**3 + 0 + 2/3*i**2.
2*i**2*(i + 1)**2/3
Let m(f) be the first derivative of 36*f**5/5 - 15*f**4/2 - 26*f**3/3 + 16*f**2 - 8*f + 25. Find b, given that m(b) = 0.
-1, 1/2, 2/3
Let c(s) be the third derivative of 1/6*s**4 - 2*s**2 - 1/60*s**5 - 2/3*s**3 + 0 + 0*s. Factor c(m).
-(m - 2)**2
Solve -1/4*f**2 + f + 0 = 0.
0, 4
Let v = 6 + -3. Factor 8*q - 31*q**2 - v*q**4 - 8*q**3 + 31*q**4 + 3*q**2.
4*q*(q - 1)*(q + 1)*(7*q - 2)
Factor 6/7*g + 2/7*g**3 + 6/7*g**2 + 2/7.
2*(g + 1)**3/7
Let l(g) = 1 - 6*g - 2 + 5*g. Let m(i) = -2*i**3 + 12*i + 2. Let d(u) = 6*l(u) + m(u). Factor d(p).
-2*(p - 1)**2*(p + 2)
Factor -12*z + 2*z**2 - 8*z + 4*z**2 - 24 - 2*z**2.
4*(z - 6)*(z + 1)
Let q(p) be the first derivative of -p**6/12 - p**5/10 + p**4/4 - 19. Factor q(o).
-o**3*(o - 1)*(o + 2)/2
Let a = 10 - 8. Let -2*m**2 + 2*m**a - 3*m**2 + 0*m - 3*m = 0. What is m?
-1, 0
Find f, given that 3*f**3 - 1 - f + f**2 + 4*f**3 - 6*f**3 = 0.
-1, 1
Let h be 12/2 - (-5 - -2). Let f be (1/6)/(2/h). Factor -1/4*n - 1/2*n**2 + 0 + f*n**3.
n*(n - 1)*(3*n + 1)/4
Let t(d) = d**2. Let z = -23 - -24. Let o(v) = v. Let i(y) = z*t(y) - 4*o(y). Let i(l) = 0. Calculate l.
0, 4
Let r(b) be the second derivative of -2/15*b**4 + 1/21*b**7 - 1/5*b**5 + 0 + 2/75*b**6 + 2/5*b**2 + b + 1/3*b**3. Let r(s) = 0. Calculate s.
-1, -2/5, 1
Let z(y) = -81*y**2 + 50*y - 1. Let s(j) = 6 - 3*j**2 - 4 - 68*j + 19*j + 84*j**2. Let a(v) = 5*s(v) + 4*z(v). Find h, given that a(h) = 0.
2/9, 1/3
Let y = -11 - -30. Suppose 4*s = y - 7. Factor 0*i + 4*i**s - 2*i - 3*i - 2*i**4 + 2 + i.
-2*(i - 1)**3*(i + 1)
Let c = 7/3 - 5/3. Let s be (-11)/(77/(-28))*(-2)/(-2). Suppose c*h**3 + 0 + 2/3*h**s + 2/9*h**5 + 2/9*h**2 + 0*h = 0. Calculate h.
-1, 0
Suppose n - 1 = -2*j, 2 - 14 = -3*j + 2*n. Solve j*d**2 - 7*d**3 + 3*d + 4 - 5*d**4 + 3*d**2 + 5*d - 4*d**2 - d**5 = 0 for d.
-2, -1, 1
Factor -15*c + 12*c**2 - c**3 + 8*c**2 - 4*c**3 + 0*c**3.
-5*c*(c - 3)*(c - 1)
Factor 19*s**2 - 37*s**2 - 4 + 3*s + 19*s**2.
(s - 1)*(s + 4)
Suppose v - 5*b + 10 = 0, -2*v = -v + 3*b + 2. Let d(m) = -m**2 + m - 1. Let n(l) = 2*l**2 - l + 2. Let x(k) = v*d(k) - 3*n(k). Suppose x(h) = 0. Calculate h.
-1
Let c be (-6 + (-215)/(-30))*32. Suppose 104/3*b**3 + 4*b**4 + 32/3*b - c*b**2 - 12*b**5 + 0 = 0. Calculate b.
-2, 0, 2/3, 1
Let z(j) = -j - 7. Let k be z(-9). Let t = -33 + 69/2. What is i in i - t*i**3 + 0 - 1/2*i**k = 0?
-1, 0, 2/3
Let u be 158/84*(-34)/(-45). Let l = -4/189 + u. Factor 2/5*p + 11/5*p**2 + 0 + 16/5*p**3 + l*p**4.
p*(p + 1)**2*(7*p + 2)/5
Let t(o) be the first derivative of -o**5/10 + o**4/3 + 4*o**3/3 + 3*o**2 + 7. Let v(g) be the second derivative of t(g). Factor v(b).
-2*(b - 2)*(3*b + 2)
Let t(v) = v**3 + 6*v**2 - 41*v + 6. Let a be t(4). Factor 0*o**a - 1 - 1/2*o**3 + 3/2*o.
-(o - 1)**2*(o + 2)/2
Factor 3/5*t**3 + 4 + 52/5*t + 7*t**2.
(t + 1)*(t + 10)*(3*t + 2)/5
Let c(v) = 9*v**3 - 17*v + 8. Let h(x) = -3*x + 3*x**3 + 4*x + 3 - 5*x - 2*x. Let s(p) = 3*c(p) - 8*h(p). Factor s(y).
3*y*(y - 1)*(y + 1)
Let o be (-18)/56 - 16/28*-1. Factor 0*z + 0 - o*z**2 - 1/4*z**4 - 1/2*z**3.
-z**2*(z + 1)**2/4
Suppose 2*g - 8 = -2*g. Let s = -2/215 - -444/1505. Factor -s*c**g + 0*c - 2/7*c**4 + 0 - 4/7*c**3.
-2*c**2*(c + 1)**2/7
Factor 2*z**2 + 8/5 - 16/5*z - 2/5*z**3.
-2*(z - 2)**2*(z - 1)/5
Let l be ((-2 - -10) + 0)/2. Suppose -20 = -r - l*r. What is t in -2/5*t**r - 6/5*t**2 - 2/5*t - 6/5*t**3 + 0 = 0?
-1, 0
Solve 0 - 4/3*n**4 + 4*n + 4/3*n**2 - 4*n**3 = 0 for n.
-3, -1, 0, 1
Let s(r) be the second derivative of 0*r**3 + 0*r**2 + 1/42*r**4 - 3*r + 0. Let s(o) = 0. Calculate o.
0
Factor 3/2*j - 9/2*j**2 + 0 + 39/8*j**3 + 3/8*j**5 - 9/4*j**4.
3*j*(j - 2)**2*(j - 1)**2/8
Let s(v) = v**2 + 7*v - 8. Let w(n) = -1 + 5*n + 0 - 4*n. Let t(l) = -2*s(l) + 18*w(l). Suppose t(b) = 0. What is b?
1
Factor 8 + 14 - 16*u + 4*u**2 - 10.
4*(u - 3)*(u - 1)
Factor k**2 - 1/2 - 1/2*k.
(k - 1)*(2*k + 1)/2
Let b be 144/60*3/27. Solve 4/15*l - 2/15 - b*l**3 + 2/15*l**4 + 0*l**2 = 0.
-1, 1
Let h(f) be the first derivative of f**3 + 21*f**2 + 147*f + 3. Find r, given that h(r) = 0.
-7
Let m(r) be the first derivative of 10/3*r**3 + r**4 - 2 - 2*r**2 + 0*r - 2*r**5. Factor m(v).
-2*v*(v - 1)*(v + 1)*(5*v - 2)
Let -5 + 5*f**4 - 10*f - 23*f**2 + 10*f**3 + 45*f**2 - 22*f**2 = 0. Calculate f.
-1, 1
Let p(z) be the second derivative of z**7/189 - 2*z**6/135 - z**5/45 + 4*z**4/27 - 7*z**3/27 + 2*z**2/9 - 3*z. Factor p(f).
2*(f - 1)**4*(f + 2)/9
Let u(l) be the first derivative of 2/15*l**3 - 1/5*l**2 - 1/30*l**4 - 3*l + 1. Let m(n) be the first derivative of u(n). Factor m(d).
-2*(d - 1)**2/5
Determine g, given that -20/9*g**2 + 4/9*g**4 + 0 - 8/9*g + 4/9*g**5 - 4/3*g**3 = 0.
-1, 0, 2
Let h(j) be the second derivative of j**8/30240 - j**7/5670 - j**4/4 - 3*j. Let o(y) be the third derivative of h(y). What is a in o(a) = 0?
0, 2
Let o(g) be the first derivative of -1 - 1/6*g**4 - 1/3*g**2 + 4/9*g**3 + 0*g. Factor o(c).
-2*c*(c - 1)**2/3
Let f(p) be the second derivative of p**5/240 + p**4/144 - 5*p. Factor f(n).
n**2*(n + 1)/12
Suppose -5*x = -34 + 99. Let h = -25/2 - x. Factor h + 11/4*b + 9/4*b**2.
(b + 1)*(9*b + 2)/4
Factor -8/11*w**2 + 0*w - 2/11*w**4 - 8/11*w**3 + 0.
-2*w**2*(w + 2)**2/11
Let f(q) be the first derivative of 0*q + 0*q**2 + 0*q**4 - 2/35*q**5 - 1/21*q**6 + 1 + 0*q**3. Suppose f(d) = 0. Calculate d.
-1, 0
Factor 15*n + 37 - 50*n - 5*n**2 - 37.
-5*n*(n + 7)
Find z such