ppose l(x) = 0. What is x?
0, 1
Let s = -139 - -1253/9. Factor 2/9*h + s*h**2 - 2/9*h**3 - 2/9*h**4 + 0.
-2*h*(h - 1)*(h + 1)**2/9
Let q(l) be the third derivative of 0*l + 0 - 3/50*l**5 + 0*l**3 - 1/40*l**4 + 2*l**2 - 2/175*l**7 - 9/200*l**6. Determine u so that q(u) = 0.
-1, -1/4, 0
Let s(u) = -u**2 - 4*u - 1. Let q(h) = -3*h**2 - 9*h - 1. Let k(y) = 2*q(y) - 5*s(y). Find r, given that k(r) = 0.
-1, 3
Factor 3 - 6*m**2 - 36*m**2 - 26*m - 7.
-2*(3*m + 1)*(7*m + 2)
Let l = 5 - 3. Let z(o) be the first derivative of -2 - 1/3*o**3 - 1/2*o**4 - 1/5*o**5 + 0*o + 0*o**l. Factor z(k).
-k**2*(k + 1)**2
Let y = 9 + -7. Let z be (0/(y + 1))/(-1). Find r, given that 2/7*r**5 + 24/7*r**3 + 0*r + z + 12/7*r**4 + 16/7*r**2 = 0.
-2, 0
Let -y + 1/2*y**2 - 3/2 = 0. What is y?
-1, 3
Let o(f) = 3*f + 2. Let u be o(1). Factor i**4 - i**2 + 2 - i**5 - u + i**3 + 3.
-i**2*(i - 1)**2*(i + 1)
Find s, given that 3*s + 7*s - 2*s**3 - 1349 + 1355 + 0*s**3 + 2*s**2 = 0.
-1, 3
Factor 10/3*z**2 - 4/3*z - 8/3*z**3 + 0 + 2/3*z**4.
2*z*(z - 2)*(z - 1)**2/3
Let b(k) be the first derivative of 0*k**5 - 1/2*k**4 + 0*k**2 - 4 + 0*k + 1/3*k**6 + 0*k**3. Factor b(c).
2*c**3*(c - 1)*(c + 1)
Let b be 768/(-72) - 1*-11. Solve -b*l + 0 + 1/3*l**2 = 0 for l.
0, 1
Let b be 3 - 0 - 1*1/(-1). Let n(f) be the second derivative of -3/2*f**2 + f**3 - 1/4*f**4 + 0 - b*f. Factor n(t).
-3*(t - 1)**2
Let u(t) = t**2 + t. Let w(v) = -5*v**2 - 8*v. Let k(x) = 2*u(x) + w(x). Factor k(s).
-3*s*(s + 2)
Suppose -2*i + 2 = -2*c - 5*i, 4 = -2*i. Factor 2*t + t**c + 0*t**2 + 0*t**2 - 4*t.
t*(t - 2)
Suppose 0*f = 5*f + 30. Let s = -4 - f. Find n, given that n**s + n - n = 0.
0
Solve -8 + 3 - 4*s**2 + 4 - 16*s - 15 = 0 for s.
-2
Let z be 10/(-8) + (-4)/(-16). Let h be 51*z/(-9) + -3. What is m in 2/3 + 2*m**4 + 1/3*m - 1/3*m**3 - h*m**2 = 0?
-1, -1/2, 2/3, 1
Let j(z) be the third derivative of -1/30*z**6 + 0 - 1/210*z**7 - 1/6*z**3 - 1/10*z**5 + 0*z - 1/6*z**4 + z**2. Solve j(g) = 0 for g.
-1
Let t(r) be the second derivative of -r**5/180 + r**4/36 - r**3/27 + 15*r - 3. Factor t(s).
-s*(s - 2)*(s - 1)/9
Let s(m) be the third derivative of m**9/30240 + m**8/5040 - m**7/840 + 7*m**5/60 - 2*m**2. Let w(b) be the third derivative of s(b). Let w(q) = 0. Calculate q.
-3, 0, 1
Let w(d) be the second derivative of -d**9/1080 + 19*d**8/3360 - 2*d**7/315 - d**6/90 - 5*d**4/12 + 2*d. Let s(u) be the third derivative of w(u). Factor s(n).
-2*n*(n - 2)*(n - 1)*(7*n + 2)
Suppose -f + 0*s - 4 = s, 5*s + 24 = -f. Let j be f/4*-3*-4. Find r such that 3*r - 2*r**2 - 8*r**3 + j*r + 6*r**4 - 2*r = 0.
-2/3, 0, 1
Let q = 15613/20 + -3077/4. Let 28/5*m**4 - q*m**3 - 2/5 + 3/5*m + 28/5*m**2 = 0. What is m?
-1/4, 2/7, 1
Let -25/4*t**3 + 16 - 5*t**2 + 5/2*t**4 - 1/4*t**5 + 20*t = 0. What is t?
-1, 4
Let n(k) be the third derivative of k**10/226800 - k**8/30240 - k**5/10 - k**2. Let m(s) be the third derivative of n(s). Suppose m(t) = 0. What is t?
-1, 0, 1
Factor -24*l**2 - 9 + 2188*l**4 - 2185*l**4 + 6*l**2 + 24*l.
3*(l - 1)**3*(l + 3)
Let l be (-4)/16 - (-9)/4. Let z be 6*l/(-12)*-2. Factor -u**z + 0*u + 0*u**2 - u + u**3 + u**4.
u*(u - 1)*(u + 1)**2
Let c(f) be the second derivative of 0 - 4*f + 1/15*f**6 + 3/40*f**5 - 1/24*f**4 + 0*f**3 + 0*f**2. Factor c(t).
t**2*(t + 1)*(4*t - 1)/2
Let v(a) be the third derivative of -a**9/945 + a**8/1680 - 7*a**4/24 + 6*a**2. Let k(n) be the second derivative of v(n). Determine t so that k(t) = 0.
0, 1/4
Let t be ((-4)/4)/((-4)/(-43)). Let s = 11 + t. Determine v so that 0*v + 1/4*v**4 + 0*v**3 + s - 1/2*v**2 = 0.
-1, 1
Solve -12*i**3 + 3*i**4 + 2*i**4 + 3*i**4 - 15*i**2 - 5*i**4 = 0.
-1, 0, 5
Let y be 2/(-80)*-38 + 9/36. Determine t, given that y*t**2 - 2/5*t**3 + 0 - 4/5*t = 0.
0, 1, 2
Suppose -3*c + 4 + 11 = l, l + 4*c - 19 = 0. Let m = 3 + 1. Solve 2/3*d**l - 1/3 + 2/3*d**2 - 1/3*d**m - 1/3*d**5 - 1/3*d = 0 for d.
-1, 1
Let l(v) = v**3 - v**2 + v - 1. Let k be l(1). Let i be ((-4)/10)/(16/(-20)). What is c in 0 - i*c**3 + 1/2*c**4 + 1/2*c**5 + k*c - 1/2*c**2 = 0?
-1, 0, 1
Let m be (-16)/(-12)*(2 + 1). Factor 0*d**3 + d - d**3 + 0*d - d**2 + d**m.
d*(d - 1)**2*(d + 1)
Solve -6/11 + 10/11*x - 2/11*x**3 - 2/11*x**2 = 0 for x.
-3, 1
Let v(l) = -3*l**3 + 8*l**2 + 3*l. Let r(n) = -n**3 + 4*n**2 + 2*n. Let s(q) = 5*r(q) - 2*v(q). Find b such that s(b) = 0.
-2, 0
Let g(q) be the third derivative of q**6/900 - q**5/300 + q**3/3 + 3*q**2. Let t(o) be the first derivative of g(o). Factor t(n).
2*n*(n - 1)/5
Let w = -18 + 29. Factor -m**2 - w + 6 + 6.
-(m - 1)*(m + 1)
Suppose -4*r - 3*q = 100 + 37, -q + 81 = -2*r. Let p = r + 38. Solve p + 2/9*f**3 + 4/9*f**2 + 0*f = 0 for f.
-2, 0
Let l(w) be the first derivative of 3*w**4/28 - 6*w**2/7 - 18. Determine c, given that l(c) = 0.
-2, 0, 2
Let f(d) be the second derivative of d**6/50 - 9*d**5/100 + d**4/20 + 3*d**3/10 - 3*d**2/5 + 2*d. Factor f(m).
3*(m - 2)*(m - 1)**2*(m + 1)/5
Let l(n) be the first derivative of -5/3*n**3 - 1/4*n**4 - 4*n - 2 - 4*n**2. Suppose l(v) = 0. What is v?
-2, -1
Suppose -5*v + 0*l + 73 = l, 2*v - 2*l = 22. Factor -8 + 2*b + b - 3*b**2 + v.
-3*(b - 2)*(b + 1)
Suppose 4*f + 2 = -b, -8 + 0 = -5*b - 2*f. Suppose 12 = -3*d, -d + 2 = b*l - 0. Factor m**2 + 2*m**l - 4*m**3 + m**2.
-2*m**2*(m - 1)
Let d be -2 + -1 - -1 - -5. Suppose 6*k - d = 5*k. Factor 0 - 2/5*r**5 + 8/5*r**2 + 6/5*r**k - 8/5*r - 4/5*r**4.
-2*r*(r - 1)**2*(r + 2)**2/5
Let a(f) be the second derivative of -1/40*f**5 + 0*f**2 - 2*f - 1/12*f**3 + 1/12*f**4 + 0. Factor a(d).
-d*(d - 1)**2/2
Let t(c) = c**2 - 29*c - 60. Let r be t(31). Factor 2/3*u**3 + 0*u**r + 0 - 2/3*u.
2*u*(u - 1)*(u + 1)/3
Let c(s) be the second derivative of 1/12*s**4 + 1/20*s**5 + 0 + 0*s**2 - s + 0*s**3. Factor c(r).
r**2*(r + 1)
Let h be (-25)/(-9) - ((-1012)/99 + 10). Factor -4/3*m + 2/3*m**4 + 0 + 4/3*m**h - 2/3*m**2.
2*m*(m - 1)*(m + 1)*(m + 2)/3
Factor 0*g**2 + 8/7 + 12/7*g - 4/7*g**3.
-4*(g - 2)*(g + 1)**2/7
Factor 0*a - 1/4*a**2 + 0 + 1/4*a**3.
a**2*(a - 1)/4
Let l(b) be the first derivative of b**4 - 6*b**2 + 8*b + 31. Factor l(k).
4*(k - 1)**2*(k + 2)
Let z be ((-119)/(-21) - (-15)/(-9)) + 0. Factor 3/5*s**2 + 0 + 3/5*s**3 + 1/5*s**z + 1/5*s.
s*(s + 1)**3/5
Suppose -5*k**2 + 48*k - 2*k**2 + 54*k**3 - 50*k - 45*k**4 = 0. What is k?
-2/15, 0, 1/3, 1
Let n(w) be the second derivative of -w**6/10 - 12*w**5/5 - 16*w**4 - 2*w - 2. Factor n(t).
-3*t**2*(t + 8)**2
Let l(u) be the first derivative of -u**5/5 - 3*u**4/4 + u**3 + 7*u**2/2 - 6*u - 2. Determine t, given that l(t) = 0.
-3, -2, 1
Suppose -5*w + 4*g + 12 = 0, -4*w - 4*g = -w - 20. Suppose 0*b**5 - 2*b + 4*b**2 - w*b**5 - 6*b**4 + 6*b**5 + 2*b**4 = 0. Calculate b.
-1, 0, 1
Let r(s) be the second derivative of -25/12*s**4 + s - 8/3*s**3 - 1/42*s**7 - 2*s**2 - 7/30*s**6 - 19/20*s**5 + 0. Factor r(h).
-(h + 1)**3*(h + 2)**2
Factor -15/2*a + 6*a**3 + 3/2*a**5 + 3*a**2 + 3 - 6*a**4.
3*(a - 2)*(a - 1)**3*(a + 1)/2
Let r = 128 - 126. Factor -4/11 - 2/11*t**r - 6/11*t.
-2*(t + 1)*(t + 2)/11
Let b(g) be the second derivative of -g**4/12 + g**3/2 + 36*g. Find k, given that b(k) = 0.
0, 3
Let j(o) = -10*o**3 - 17*o**2 + 4*o. Let b(r) = r**2. Let f(q) = -6*b(q) - j(q). Let h(p) = 15*p**3 + 16*p**2 - 6*p. Let d(y) = -7*f(y) + 5*h(y). Factor d(c).
c*(c + 1)*(5*c - 2)
Let c(d) = 1 - 2*d + 2*d**2 - 2 + 2. Let u(z) = -z**2 + z + 1. Let a(p) = -c(p) - 5*u(p). What is f in a(f) = 0?
-1, 2
Let i be (-270)/(-75)*1/3. Factor i*p**2 + 2/5*p**3 + 0 + 4/5*p.
2*p*(p + 1)*(p + 2)/5
Let n = -661/2 + 332. Suppose 3*b - 3/2*b**2 - n*b**3 + 0 = 0. What is b?
-2, 0, 1
Let c = 40 - -4. Let v = c - 131/3. Let -1/3 - 2*g**2 + 4/3*g - v*g**4 + 4/3*g**3 = 0. What is g?
1
Factor 3*d**4 + 6*d - 6*d - 6*d**3.
3*d**3*(d - 2)
Let b(g) = -5*g**4 - 16*g**3 - 13*g**2 + 3*g - 8. Let a(w) = w**4 + 4*w**3 + 3*w**2 - w + 2. Let t(q) = -26*a(q) - 6*b(q). Suppose t(l) = 0. What is l?
-1, 1
Let m(g) = 10*g**3 - 4*g**2 - 14*g. Let h(f) = 3*f**3 - f**2 - 5*f. Let u be (32/6)/((-22)/(-33)). Let r(l) = u*h(l) - 3*m(l). Factor r(k).
-2*k*(k - 1)*(3*k + 1)
Let s(l) be the first derivative of -l**5/80 - l**4/12 - 5*l**3/24 - l**2/4 + 3*l - 5. Let q(o) be the first derivative of s(o). Factor q(t).
-(t + 1)**2*(t + 2)/4
Let c(b) = 12*b**3 + 12*b**2 + 34*b. Let t(w) = w**3 + w**2 + 3*w. Let v