, 2
Suppose 0*g + 0 + 6/5*g**2 + 16/5*g**3 - 6/5*g**4 = 0. Calculate g.
-1/3, 0, 3
Let k(u) be the second derivative of 0 - 1/135*u**6 + 0*u**3 + 9*u - 1/9*u**2 + 1/27*u**4 + 0*u**5. Factor k(q).
-2*(q - 1)**2*(q + 1)**2/9
Let t(f) = -8*f**4 - 5*f**3 + 15*f**2 + 8*f - 10. Let o(y) = 23*y**4 + 15*y**3 - 45*y**2 - 23*y + 30. Let q(s) = 3*o(s) + 8*t(s). Let q(h) = 0. Calculate h.
-2, -1, 1
Let f be 2/7 + 60/35. Let m be (f/(-5))/(72/(-40)). Solve 0 + 0*n - m*n**4 - 2/9*n**2 + 4/9*n**3 = 0.
0, 1
Let z(n) = 149*n**2 - 86*n + 12. Let r(t) = 150*t**2 - 87*t + 12. Let c(q) = -2*r(q) + 3*z(q). Factor c(w).
3*(7*w - 2)**2
What is w in -4/5*w**4 + 2/5*w**5 - 4/5 + 2/5*w - 4/5*w**3 + 8/5*w**2 = 0?
-1, 1, 2
Let w(o) be the second derivative of o**5/20 - o**4/12 - o**3/6 + o**2/2 + 8*o. Factor w(j).
(j - 1)**2*(j + 1)
Let s(v) = 3*v - 1. Let z be s(1). What is x in 26 - 18*x - 3*x**2 + 6*x**z + 1 = 0?
3
Factor 1/5*t**3 + 13/5*t - 8/5*t**2 - 6/5.
(t - 6)*(t - 1)**2/5
Let c(l) be the third derivative of -l**5/120 + 5*l**4/48 - l**3/3 + 8*l**2. Factor c(b).
-(b - 4)*(b - 1)/2
Let j(z) = 3*z**5 + 2*z**4 - 2*z**3 - 4*z**2 + 11*z - 2. Let i(q) = 7*q**5 + 4*q**4 - 5*q**3 - 7*q**2 + 23*q - 4. Let h(v) = -4*i(v) + 9*j(v). Factor h(p).
-(p - 1)**4*(p + 2)
Let u = -1/48 + 3/16. Let i(t) be the first derivative of 0*t + 2 + 1/8*t**4 + 0*t**2 + u*t**3. Determine w so that i(w) = 0.
-1, 0
Let r(x) = -4*x**4 - 10*x**3 + 2*x**2 + 7*x. Let q(m) = m**3 + m**2 - m. Let s(f) = 15*q(f) + 3*r(f). Find c, given that s(c) = 0.
-2, -1/4, 0, 1
Let k(f) be the first derivative of f**6/3 + 2*f**5/5 - f**4/2 - 2*f**3/3 - 4. Determine g so that k(g) = 0.
-1, 0, 1
Let a = -2 - -9. Factor -2*m + 8*m - a*m**4 - 3*m**2 + 10*m**4 - 6*m**3.
3*m*(m - 2)*(m - 1)*(m + 1)
Let i(n) be the second derivative of -n**5/20 + n**3/2 - n**2 - 25*n. Suppose i(s) = 0. Calculate s.
-2, 1
Let v(f) = f**4 + 6*f**3 + 2*f - 5. Let r(b) = 2*b**4 + 13*b**3 + 5*b - 11. Let q(h) = -4*r(h) + 9*v(h). Let q(d) = 0. Calculate d.
-1, 1
Let c(d) be the first derivative of 0*d**2 - 3/5*d**5 - 1 - 3*d**4 + 0*d - 4*d**3. Factor c(t).
-3*t**2*(t + 2)**2
Let d(a) be the third derivative of -a**6/660 - a**5/55 - 3*a**4/44 - 4*a**3/33 + 3*a**2 - 2*a. Factor d(q).
-2*(q + 1)**2*(q + 4)/11
Let g(v) be the second derivative of 5*v - 1/24*v**3 - 1/120*v**6 + 0*v**2 + 1/48*v**4 + 0 + 1/80*v**5. Suppose g(f) = 0. What is f?
-1, 0, 1
Let x = -83/2 - -751/18. Factor -x*s**2 + 2/9*s + 4/9.
-2*(s - 2)*(s + 1)/9
Let y(t) be the first derivative of 5 + 0*t - 1/4*t**2 - 1/12*t**3. Solve y(f) = 0.
-2, 0
Let l(p) = -240*p**3 - 600*p**2 - 488*p - 135. Let s(g) = -160*g**3 - 400*g**2 - 325*g - 90. Let r(u) = -5*l(u) + 7*s(u). Suppose r(v) = 0. Calculate v.
-1, -3/4
Let b = 37 - 33. What is f in 1/2*f**3 - 1/4*f - 1/4*f**b - 1/4 - 1/4*f**5 + 1/2*f**2 = 0?
-1, 1
Suppose 2*b - 4*c + 12 = 0, -17 = -3*c - 5. Let w(i) be the second derivative of 1/18*i**4 + b*i + 0 - 2/9*i**3 + 0*i**2. Find f such that w(f) = 0.
0, 2
Let t(x) = 8*x**4 - 26*x**3 - 8*x**2 - 8*x + 17. Let l = 13 + -30. Let n(v) = -3*v**4 + 9*v**3 + 3*v**2 + 3*v - 6. Let c(h) = l*n(h) - 6*t(h). Factor c(w).
3*w*(w - 1)*(w + 1)**2
Let p = -7 + 8. Let z be (-1 + 3)*p - 0. Suppose 2*f**z + 4 - 5*f**3 - f + 4*f**3 - 4 = 0. Calculate f.
0, 1
Let w(i) be the second derivative of -i**6/30 - i**5/20 + i**4/4 + i**3/6 - i**2 - 21*i. Suppose w(d) = 0. What is d?
-2, -1, 1
Let i(k) be the first derivative of -2 + 1/2*k + 1/2*k**2 + 1/6*k**3. Solve i(l) = 0.
-1
Let u = 123 - 979/8. Let k = -3/56 + u. Factor 0 - 2/7*c + k*c**3 + 0*c**4 - 2/7*c**5 + 0*c**2.
-2*c*(c - 1)**2*(c + 1)**2/7
Factor 5/2*h - 1 - 2*h**2 + 1/2*h**3.
(h - 2)*(h - 1)**2/2
Suppose -m = -3*k - 6, 3 = 3*m + 5*k - 1. Let l(h) be the first derivative of 0*h**3 + 1/4*h**4 + 3/5*h**5 + m - 2/3*h**6 + 0*h**2 + 0*h. Factor l(f).
-f**3*(f - 1)*(4*f + 1)
Factor -2/11*x - 2/11*x**3 + 0 + 4/11*x**2.
-2*x*(x - 1)**2/11
Let m(o) = -4*o**2 - 8*o - 2. Let w be m(-1). Suppose 0 + 1/3*u**w + 0*u = 0. Calculate u.
0
Let o(l) = -3*l**4 - 7*l**3 + 2*l - 2. Let w(x) = -12*x**4 - 28*x**3 + x**2 + 9*x - 9. Let a(t) = -9*o(t) + 2*w(t). Factor a(k).
k**2*(k + 2)*(3*k + 1)
Factor 7*s**2 - 3*s**2 - 5*s**2 + 3*s**3 - 5*s**2.
3*s**2*(s - 2)
Suppose -c = -5*i + 4*c + 155, 160 = 4*i + 5*c. Let u be (-2 - -1)/(i/(-40)). Factor 0 - 4/7*w**4 + 2/7*w - u*w**2 + 10/7*w**3.
-2*w*(w - 1)**2*(2*w - 1)/7
Suppose 10 = f - 4*h + 2*h, -2*f = 3*h + 15. Factor 0*o + f + 1/4*o**3 + 0*o**2.
o**3/4
Let f = -147 - -149. Let y(w) be the first derivative of 2/5*w**5 + 0*w - 3/4*w**4 + 1/2*w**f + 3 + 0*w**3. Factor y(h).
h*(h - 1)**2*(2*h + 1)
Suppose 32*a = 35*a - 12. Suppose 4*x - 3*j = -3, x = 2*j + 2*j - a. Factor 0 + 1/3*p**3 + x*p - 1/6*p**4 - 1/6*p**2.
-p**2*(p - 1)**2/6
Suppose 0 = 5*m - m. Suppose 4 = -3*d - m*d + 5*h, 4 = 3*d - h. Find s such that 2*s + 2*s - s**2 - d*s = 0.
0, 2
Let n(j) be the second derivative of -1/42*j**4 + 1/105*j**6 + 0*j**3 + 0 + 0*j**5 + 0*j**2 + 3*j. Let n(x) = 0. What is x?
-1, 0, 1
Suppose -4*j + 4*k = -16, 2*k - 4 = 5*j - 21. Let c(d) be the third derivative of 0 - 1/30*d**5 + 1/3*d**3 + 1/24*d**6 + j*d**2 + 0*d - 5/24*d**4. Factor c(h).
(h - 1)*(h + 1)*(5*h - 2)
Let y be (-10)/(-6) - (-2)/6. Let d(j) be the first derivative of -y + 0*j**2 - 2/25*j**5 + 0*j + 1/10*j**4 + 0*j**3. Solve d(u) = 0 for u.
0, 1
Let o(v) be the second derivative of 1/3*v**2 + 0 - 4*v - 1/36*v**4 - 1/18*v**3. Factor o(z).
-(z - 1)*(z + 2)/3
Suppose 2/9*o**3 - 2/3*o + 0*o**2 - 4/9 = 0. What is o?
-1, 2
Factor -13*i + 12*i**2 + 5*i**3 - 3*i - 9*i - 15 - 17*i**2.
5*(i - 3)*(i + 1)**2
Let v(d) be the first derivative of 0*d + 1/2*d**2 + 1/3*d**3 - 2. Determine w, given that v(w) = 0.
-1, 0
Suppose 0 = 7*r - 3*r - 180. Suppose -5*g + r = 5*i, -g + 6*g - 40 = -4*i. Factor 0*v**2 - 1/2*v**5 + 0 + 0*v + 0*v**g + 1/2*v**3.
-v**3*(v - 1)*(v + 1)/2
Let s(y) = y - 9. Let t be s(11). What is w in w**4 + 1/4*w**5 + 3/2*w**3 + 1/4*w + 0 + w**t = 0?
-1, 0
Let h(c) be the second derivative of -c**5/5 + 8*c**4/3 - 40*c**3/3 + 32*c**2 - 7*c. Factor h(b).
-4*(b - 4)*(b - 2)**2
Let j(w) be the second derivative of 6*w + 4/15*w**6 + 1/3*w**4 + 0*w**3 + 0 - 1/21*w**7 + 0*w**2 - 1/2*w**5. What is h in j(h) = 0?
0, 1, 2
Let i(x) = 2*x**4 + x**3 + x. Let y(w) = -w**4 - w. Let b(t) = -5*i(t) - 5*y(t). Factor b(n).
-5*n**3*(n + 1)
Let k = -11 - -32. Let f(i) = -i**2 - 4*i - 2. Let a(q) = -q. Let t(r) = k*a(r) - 3*f(r). Let t(g) = 0. What is g?
1, 2
Determine w, given that -4/3*w + 0 - 4/3*w**3 - 8/3*w**2 = 0.
-1, 0
Let g(q) be the first derivative of -q**3/3 + 11*q**2/2 + 27. Suppose g(o) = 0. Calculate o.
0, 11
Let f(j) be the third derivative of j**6/120 + 11*j**5/180 + j**4/6 + 2*j**3/9 - j**2. Factor f(l).
(l + 1)*(l + 2)*(3*l + 2)/3
Suppose 3*z - 8*z + 13 = -3*w, w = -1. Factor 1/3*p**3 - 2/3*p**z + 0*p + 0.
p**2*(p - 2)/3
Let v(x) = -x**3 - 7*x**2 - x - 5. Let t be v(-7). Suppose -5*c - 4*g - 8 = 0, 4*c + 4*g + 0 = -8. What is y in c + 0*y + 2/7*y**4 + 2/7*y**t - 4/7*y**3 = 0?
0, 1
Suppose -4*f = y - 3*y - 8, -2*y + 2*f - 2 = 0. What is o in -16*o - 2*o**2 + 4*o**2 - o**y + 17*o = 0?
-1, 0
Let m be 3 + 5/((-60)/477). Let o = 37 + m. Factor 1/4*j + 1/4*j**2 - 1/4 - o*j**3.
-(j - 1)**2*(j + 1)/4
Solve -4/5*o + 1/5*o**2 + 4/5 = 0.
2
Let i(z) be the third derivative of 0*z**6 + 0*z**3 + 0*z + 0*z**5 - 1/315*z**7 + 0 + 0*z**4 - 3*z**2. Solve i(q) = 0 for q.
0
Let u(m) = m**2 - m. Let g be u(2). Find l, given that -3 + 6*l**2 - 9*l**g + 6*l**2 = 0.
-1, 1
Let k be 20/(-6) + 2/6. Let r be (-4 - k - -2) + 1. Factor -1/3*q + 0 - q**3 + 1/3*q**4 + q**r.
q*(q - 1)**3/3
Let x = -5 + 8. Factor 2/5*y**4 + 0*y + 2/5 - 4/5*y**2 + 0*y**x.
2*(y - 1)**2*(y + 1)**2/5
Suppose 0 = n + 4*n. Let q(j) = j**2 - 4*j - 5. Let a be q(5). Find d such that n + 1/2*d - d**3 + 0*d**4 + 1/2*d**5 + a*d**2 = 0.
-1, 0, 1
Suppose 0 = -2*x - 3*x. Let p(k) be the third derivative of -1/72*k**4 + 0*k**3 + 1/1008*k**8 + 0 + 0*k - 1/315*k**7 + x*k**6 + 1/90*k**5 + 2*k**2. Factor p(u).
u*(u - 1)**3*(u + 1)/3
Let c be 45/54*4/5. Let n(l) be the second derivative of 0 + 3*l + 1/3*l**3 + c*l**2 + 1/18*l**4. Suppose n(d) = 0. What is d?
-2, -1
Let h(d) = -4*d + 45. Let b be h(10). Let 2/5*u + 0*u**3 + 0 - 2/5*u**b + 4/5*u**4 - 4/5*u