. Factor 4/3*o + 2*o**r + 0.
2*o*(3*o + 2)/3
Let w = 89/388 - -2/97. Factor -w*s**2 - 1/4*s + 1/4*s**3 + 1/4*s**4 + 0.
s*(s - 1)*(s + 1)**2/4
Let w be (-2 - 1)*(-4)/3. Suppose 14 + 11 = 5*i. Factor -a + 4*a**2 + a**3 + a**4 - i*a**2 + 0*a**w.
a*(a - 1)*(a + 1)**2
Suppose 2*j - 12 = -3*c - c, -3*j = -c - 11. Determine m, given that -c + 3 + 3*m**2 + 3*m - m**2 + m = 0.
-1
Suppose -1 = -5*i + 9. Let z(p) be the third derivative of 1/6*p**3 + 2*p**i - 1/12*p**4 + 1/60*p**5 + 0*p + 0. Determine l, given that z(l) = 0.
1
Let w be (1/(-8770))/(2/8). Let h = 258707/17540 - w. Solve -63/4*l**4 - h*l**3 + 0 + 2*l**2 + l = 0 for l.
-1, -2/9, 0, 2/7
Let t be 24/90*(-9)/(-6). Factor 2/5*o**5 - 6/5*o**4 + 0*o + 6/5*o**3 - t*o**2 + 0.
2*o**2*(o - 1)**3/5
Let c(y) be the third derivative of 0*y - 49/120*y**7 + 0*y**3 - y**2 + 0 - 1/12*y**4 - 7/20*y**5 - 49/80*y**6. Let c(a) = 0. Calculate a.
-2/7, 0
Let d = -185 + 1667/9. Factor 0*o + 2/9*o**2 - 2/9*o**4 + 0 - d*o**3 + 2/9*o**5.
2*o**2*(o - 1)**2*(o + 1)/9
Let v(i) be the first derivative of -5*i**4/32 + i**3/2 - i**2/4 + 4. Let v(o) = 0. Calculate o.
0, 2/5, 2
Let b = 8 + -3. Suppose -2*d + 12 = 4*n, 0*n = -b*d + 2*n + 6. What is y in -1/2*y + 0 - 7/4*y**d = 0?
-2/7, 0
Suppose -2*c = 2 - 8. Let v(k) be the first derivative of 1/5*k**5 + k**c + 0*k + 2 + 1/2*k**2 + 3/4*k**4. Factor v(g).
g*(g + 1)**3
Let u(o) be the second derivative of 0*o**5 - 1/45*o**6 - 1/63*o**7 + 0 + 0*o**2 + 0*o**4 - 2*o + 0*o**3. Solve u(h) = 0.
-1, 0
Suppose 0 - 2/7*v**3 + 4/7*v + 2/7*v**2 = 0. What is v?
-1, 0, 2
Let t be (1 - -2) + ((-1848)/(-49))/4. What is d in -6/7 + 12*d**5 - 87/7*d**3 + 93/7*d**2 + 3/7*d - t*d**4 = 0?
-1, -1/4, 2/7, 1
Let r(i) be the second derivative of i**5/60 - i**4/9 + i**3/6 + 2*i. Solve r(x) = 0.
0, 1, 3
Let v(c) = c**4 - 6*c**3 - 4*c**2 - 6*c - 1. Let w(f) = f**4 - f**3 + f**2 - f. Let g(k) = v(k) - 2*w(k). Suppose g(s) = 0. What is s?
-1
Let z(k) be the first derivative of -k**4/7 - 12*k**3/7 - 30*k**2/7 + 100*k/7 - 3. Determine w so that z(w) = 0.
-5, 1
Let v = 10 - 5. Let d = 9 - v. Suppose -2/7*r**5 + 0*r**3 + 2/7*r + 4/7*r**2 - 4/7*r**d + 0 = 0. What is r?
-1, 0, 1
Suppose 4*l = -4 + 16. Suppose 1/5*x**2 + 0*x + 1/5*x**4 + 2/5*x**l + 0 = 0. What is x?
-1, 0
Let u(i) = i**4 + 2*i**3 + i**2 + 2*i. Let f(c) = 3*c**4 + 6*c**3 + 3*c**2 + 7*c. Let b(g) = -2*f(g) + 7*u(g). Factor b(r).
r**2*(r + 1)**2
Let h(z) be the third derivative of -z**7/210 + z**5/60 - 13*z**2. Determine c so that h(c) = 0.
-1, 0, 1
Find y such that 3*y**2 - y**2 - 2*y**2 + 2*y**4 - 2*y**2 = 0.
-1, 0, 1
Let x(b) = -4*b**3 - 20*b**2 - 16*b - 4. Let n(c) = c**2 - c - 1. Let k(i) = 4*n(i) + x(i). Factor k(t).
-4*(t + 1)**2*(t + 2)
Let h(s) be the third derivative of 8*s**7/105 + s**6/2 + 4*s**5/5 - 2*s**4/3 - 56*s**2. Suppose h(f) = 0. What is f?
-2, 0, 1/4
Suppose 0 = 5*s - 5, 2*p - 1 = -0*p + 5*s. Let l(d) be the first derivative of 1 + 0*d**p + 1/10*d**4 + 0*d + 2/25*d**5 + 0*d**2. Determine r so that l(r) = 0.
-1, 0
Let d = -5 - -8. Suppose 0 = -d*t + 2*h - 4, -2 = -4*t + 5*h - 19. Factor 2*b**3 + 4*b - 4*b**3 - t*b.
-2*b*(b - 1)*(b + 1)
Let s = -32 + 35. Suppose -4/3*z - 2*z**2 + 8/3*z**s + 2/3 + 8/3*z**4 = 0. Calculate z.
-1, 1/2
Let t(n) be the second derivative of 0*n**2 - 1/27*n**4 - 1/27*n**3 - n - 1/90*n**5 + 0. Solve t(r) = 0 for r.
-1, 0
Let p be (3 - 5)*(-4)/48. Find c such that -p*c**2 - 2/3 + 2/3*c = 0.
2
Let 25/11 + 40/11*w - 8/11*w**3 + 6/11*w**2 + 1/11*w**4 = 0. What is w?
-1, 5
What is l in 15*l + 25/4 + 21/4*l**2 + 1/2*l**3 = 0?
-5, -1/2
Let m(r) be the first derivative of -r**8/168 - r**7/105 + r**6/60 + r**5/30 - 9*r**2/2 - 6. Let j(s) be the second derivative of m(s). Factor j(n).
-2*n**2*(n - 1)*(n + 1)**2
Let s(m) be the second derivative of -2*m**6/15 + 2*m**5/5 + m**4/3 - 4*m**3/3 - 5*m. Determine g so that s(g) = 0.
-1, 0, 1, 2
Let x = 29 + -29. Let y(v) be the second derivative of 0*v**2 + 0*v**4 + x + 1/40*v**5 + v + 0*v**3. Factor y(t).
t**3/2
Let j(m) be the first derivative of 0*m - 6 + 3/2*m**4 + m**3 - 3/5*m**5 - 3*m**2. Solve j(l) = 0.
-1, 0, 1, 2
Let v be (-3)/((-18)/(-8))*(-180)/80. Factor 1/3*o**5 + 0*o - 2/3*o**4 + 0*o**2 + 0 + 1/3*o**v.
o**3*(o - 1)**2/3
Let n(r) be the second derivative of -8*r**6/15 + 47*r**5/20 - 15*r**4/4 + 13*r**3/6 + r**2/2 + 36*r. Factor n(d).
-(d - 1)**3*(16*d + 1)
Let a(c) = 3*c**3 + c**2 - 2*c + 6. Let p(m) = 12 + 2*m**2 + 2*m**3 - 2*m + 2*m**3 - 5. Let w(g) = -7*a(g) + 6*p(g). Factor w(k).
k*(k + 1)*(3*k + 2)
Let c(g) = g + 1. Let a be c(3). Factor i**2 + a*i + 3 + 1 + 0.
(i + 2)**2
Let w(o) be the first derivative of -o**5/5 - 5*o**4 - 50*o**3 - 250*o**2 - 625*o + 32. Determine z so that w(z) = 0.
-5
Let z(h) = h**2 - 10*h - 9. Let y be z(11). Determine n, given that -5*n + 3 - 1 + 3*n**y + 0*n + 0 = 0.
2/3, 1
Let v(p) be the first derivative of 3*p**4/20 + 2*p**3/5 + 16. Suppose v(d) = 0. Calculate d.
-2, 0
Suppose -2*d - 3*d + 4*w = 6, -3*d - 2 = -2*w. Let l be d/(4/(-18)*-3). Factor v**l + v**3 - 3*v**3.
-v**3
Suppose -2/3*q**4 + 4/3*q**3 - 2/3*q**2 + 0*q + 0 = 0. Calculate q.
0, 1
Let y(w) be the third derivative of -w**4/24 + 5*w**2. Let z(p) = -2*p**2 - 14*p - 18. Let i(o) = 4*y(o) - 2*z(o). Factor i(d).
4*(d + 3)**2
Let d(k) be the second derivative of -k**4/90 - 2*k**3/45 + 46*k. Solve d(w) = 0 for w.
-2, 0
Let s(p) be the first derivative of -p**6/42 + 9*p**5/35 - 13*p**4/14 + 6*p**3/7 + 27*p**2/14 - 27*p/7 + 8. Suppose s(z) = 0. Calculate z.
-1, 1, 3
Factor -3/8*q - 1/8*q**4 + 1/4 + 3/8*q**3 - 1/8*q**2.
-(q - 2)*(q - 1)**2*(q + 1)/8
Let 8/9*c - 2/9*c**2 - 8/9 = 0. What is c?
2
Let k = 712/9 + -79. Let w(h) be the second derivative of -1/45*h**6 + 0 + 1/18*h**4 + k*h**3 - 1/30*h**5 + 0*h**2 + 2*h. Factor w(l).
-2*l*(l - 1)*(l + 1)**2/3
Suppose -6 = 9*q - 12*q. Let t(p) be the first derivative of -1/12*p**4 + 0*p - q + 0*p**2 + 1/9*p**3. Suppose t(v) = 0. What is v?
0, 1
Let m(l) be the third derivative of -l**6/270 + l**5/27 + 4*l**4/27 - 32*l**3/9 - 2*l**2 + 5. Find u, given that m(u) = 0.
-3, 4
Let f = -1 - -1. Suppose f + v + 2 - 6*v**2 + 5*v**2 = 0. Calculate v.
-1, 2
Let t(s) = -s**3 - 14*s**2 + s + 17. Let u be t(-14). Suppose 2*b + 3*w + 12 = -w, b - 22 = 5*w. Factor 3 - 2*f**5 - u - b*f**4.
-2*f**4*(f + 1)
Factor o**3 + 15/4*o**2 - 1 + 3*o.
(o + 2)**2*(4*o - 1)/4
Let b(y) = -y**4 - y**3 - y. Let m(o) = -o**5 + o**4 - o**3 - 4*o**2 + 4*o. Let u(r) = -5*b(r) - m(r). Factor u(h).
h*(h + 1)**4
Let v(l) be the first derivative of -21*l**5/10 - 6*l**4 - 11*l**3/2 - 3*l**2/2 - 5. Solve v(r) = 0 for r.
-1, -2/7, 0
Let y(a) be the second derivative of a**6/42 + a**5/20 + a**4/42 + 6*a. Factor y(t).
t**2*(t + 1)*(5*t + 2)/7
Let b(i) be the third derivative of i**5/60 + i**4/12 - i**3/6 + 3*i**2. Let z be b(-3). Let 7*j**z - 3*j**2 - 2*j**4 - 2 + 0*j**2 = 0. What is j?
-1, 1
Let s(k) be the second derivative of -k**5/150 + k**3/15 - 4*k**2 + 3*k. Let t(x) be the first derivative of s(x). Let t(z) = 0. What is z?
-1, 1
Suppose 4*d = 4*v - 0*d + 12, -4*v - 5*d + 15 = 0. Let w(q) be the first derivative of 5/4*q**5 + 0*q**2 - 15/8*q**4 + 3/4*q**3 + v*q + 3. Factor w(l).
l**2*(5*l - 3)**2/4
Suppose 14 - 54 = 5*d. Let h = 11 + d. Find t, given that 2/5 + 2/5*t**h - 2/5*t**2 - 2/5*t = 0.
-1, 1
Let p(v) = -v - 6. Let y be p(-10). Factor -36*k**y - 28*k**2 + 27 + 4*k - 27 + 57*k**3 + 3*k**3.
-4*k*(k - 1)*(3*k - 1)**2
Let 10*o**5 + 6*o**4 - 22*o**5 + 9*o**5 - 3*o**3 = 0. What is o?
0, 1
Let k(q) be the third derivative of q**2 + 0*q**4 - 1/210*q**5 + 1/140*q**6 - 2/735*q**7 + 0*q**3 + 0 + 0*q. Solve k(t) = 0 for t.
0, 1/2, 1
Let u(g) be the first derivative of g**3/3 + g**2/2 + 3. Factor u(c).
c*(c + 1)
Suppose 3*u = -5*w + 7*u - 8, 4*u - 8 = 2*w. Solve -2/7*r**2 - 4/7*r + w + 6/7*r**3 = 0 for r.
-2/3, 0, 1
Let p(x) be the second derivative of -x**7/105 - 2*x**6/75 - 6*x. What is m in p(m) = 0?
-2, 0
Let r(b) = -2*b**2 + b - 1. Let l be r(1). Let j be l/(-4) - 1/2. Factor 0 + 2*s**2 + j - 2.
2*(s - 1)*(s + 1)
Let u(q) be the second derivative of -1/6*q**4 + 0 + 3*q + 0*q**3 + 0*q**2. Factor u(y).
-2*y**2
Suppose -x + 2 = -2. Let 4*m**2 - 8*m**4 - 3 + 5*m**x + 0 + 2*m**2 = 0. Calculate m.
-1, 1
Suppose -5*f + 60 = -2*f. Let t be 2/(-5) + 18/f. Factor -t*r**2 + 0 +