/7 - 2/7*x**4 - f*x**3 - 12/7*x**2 - 8/7*x.
-2*(x + 1)**4/7
Let b(s) = -9*s - 6. Let i be b(-1). Factor 16/3*o**4 + 0 - 2/9*o**i - 32/9*o**5 - 2/9*o - 4/3*o**2.
-2*o*(o - 1)**2*(4*o + 1)**2/9
Suppose 0 = 2*a + 4*a - 12. Let p(k) be the first derivative of 46/35*k**5 - 32/7*k - 16/7*k**a + 48/7*k**3 - 32/7*k**4 + 2 - 1/7*k**6. Factor p(s).
-2*(s - 2)**4*(3*s + 1)/7
Let z be (1*(-2)/2 - -9)/2. Determine r, given that -2/3*r**z + 2/3*r**2 - 4/9*r + 0 + 4/9*r**3 = 0.
-1, 0, 2/3, 1
Let k = -124/9 - -14. Let x(b) be the first derivative of 2 - 1/3*b**2 - k*b**3 + 0*b. Find m, given that x(m) = 0.
-1, 0
Let l(d) = 5*d + 18. Let a be l(-3). Let k(z) be the first derivative of 1/7*z**2 + 2/21*z**a + 0*z + 4. Factor k(q).
2*q*(q + 1)/7
Let f = -92 - -92. Let h(u) be the second derivative of 1/4*u**2 - 1/8*u**3 + f + 1/48*u**4 + 2*u. Factor h(c).
(c - 2)*(c - 1)/4
Let g(h) = 4*h**5 + 11*h**4 - 8*h**2 - 4*h. Let x(q) = 4*q**5 + 10*q**4 - 8*q**2 - 4*q. Let o(f) = -2*g(f) + 3*x(f). Find z, given that o(z) = 0.
-1, 0, 1
Let q = -756 + 759. Find a, given that 0*a**4 + 0*a**2 - 3/5*a**5 + 6/5*a**q + 0 - 3/5*a = 0.
-1, 0, 1
Suppose -y = 4*y + 4*o - 15, 2*y - 4*o = 6. Factor 2*w**4 + 3*w**4 - w**2 - w**2 - y*w**4.
2*w**2*(w - 1)*(w + 1)
Factor 0*y - 3/7*y**4 + 0 + 0*y**2 + 3/7*y**3.
-3*y**3*(y - 1)/7
Let u = -10 - -5. Let n be -3 - u - 4/3. Find a such that -2/3*a**3 + 2/3*a + 2/3 - n*a**2 = 0.
-1, 1
Let h(w) = -2*w**2 + 8*w - 1. Let i be h(3). Let y(k) be the first derivative of 0*k - 4/5*k**2 - 36/25*k**i + 8/15*k**3 + 3/2*k**4 - 2. Factor y(q).
-2*q*(2*q + 1)*(3*q - 2)**2/5
Let m(o) = 3*o - 10. Let a be m(7). Suppose -5*v = 2*r - 9, -2*r + a = 5*v + r. Factor v - 2 + p**2 + 0*p**3 - p + p**3.
(p - 1)*(p + 1)**2
Let y(p) be the second derivative of 0 + 0*p**3 + 3*p - 1/45*p**6 + 0*p**2 + 0*p**5 + 1/18*p**4. Suppose y(l) = 0. What is l?
-1, 0, 1
Let a(u) = 1 + 5*u**3 - 6*u**3 + u - 2*u**2 - 3. Let k be a(-3). Let 11/3*d + 73/3*d**3 + 56/3*d**k + 43/3*d**2 + 16/3*d**5 + 1/3 = 0. What is d?
-1, -1/4
Let x(b) = -6*b**3 - b - 1. Let t be x(-2). Let o be (-70)/t*(-4)/10. Factor o*p**3 + 2/7*p**2 - 4/7*p - 2/7.
2*(p - 1)*(p + 1)*(2*p + 1)/7
Let p be (-4)/(-10) - (-66)/10. Solve 2 - 4 + p*z - z**5 - 8*z**2 + 8*z**4 - 6*z**4 + 2*z**3 + 0*z**2 = 0 for z.
-2, 1
Let o be (-4)/(-14)*(-117)/(-18). Let s = o + -11/7. Suppose 4/7*y**2 - 4/7*y**4 - s*y**5 + 2/7*y + 0*y**3 + 0 = 0. Calculate y.
-1, 0, 1
Let u be (-10)/4*24*4/(-30). Let p = 2 + 2. Factor -s - s - 2 + u*s**2 - p*s.
2*(s - 1)*(4*s + 1)
Let t(x) be the first derivative of -4*x**3/9 + 4*x**2/3 + 4*x - 34. Find r such that t(r) = 0.
-1, 3
Let h(z) be the second derivative of 0*z**2 + 0*z**3 + 0 + 1/12*z**4 + 2*z + 1/20*z**5. Factor h(a).
a**2*(a + 1)
Determine h, given that 2*h + 0 + 2*h**2 + 1/2*h**3 = 0.
-2, 0
Let h(s) = 216*s**2 - 186*s - 30. Let d(v) = 43*v**2 - 37*v - 6. Let l(f) = 21*d(f) - 4*h(f). Factor l(w).
3*(w - 1)*(13*w + 2)
Factor -8*k**2 - 8 + 2*k - 13*k**2 + 19*k**2 + 6*k.
-2*(k - 2)**2
Suppose 0 = -u + 1 + 1. Let v be u/(-4) - (-15)/6. Factor 2/11 + 0*w - 2/11*w**v.
-2*(w - 1)*(w + 1)/11
Let c(b) be the third derivative of -b**6/120 - b**5/150 - 14*b**2. Factor c(o).
-o**2*(5*o + 2)/5
Let t(i) be the second derivative of 7*i**5/50 - i**4 + 29*i**3/15 - 6*i**2/5 - i + 6. Factor t(m).
2*(m - 3)*(m - 1)*(7*m - 2)/5
Let r(s) be the first derivative of -2*s**3 - 9*s**2/2 + 6*s - 5. What is h in r(h) = 0?
-2, 1/2
Let k(f) = f**3 - 1. Suppose -2*v - 4*i = v - 7, v = -2*i + 3. Let s be k(v). Let s - 3/5*h**3 - 3/5*h - 6/5*h**2 = 0. What is h?
-1, 0
Factor 0*v**2 - 4/13*v**3 + 0 + 2/13*v + 0*v**4 + 2/13*v**5.
2*v*(v - 1)**2*(v + 1)**2/13
Suppose -5*x = 5*s - 0*x - 20, s - 5*x - 22 = 0. Let j be (-4)/s*7/(-10). Factor j*c**3 - 2/5*c**4 - 2/5*c + 0 + 2/5*c**2.
-2*c*(c - 1)**2*(c + 1)/5
Let v = 2/181 - -344/1629. Let c = -31/21 - -15/7. Factor 2/3*g**2 + c*g + 2/9*g**3 + v.
2*(g + 1)**3/9
Let f(v) be the first derivative of v**6/2160 + v**5/720 + 2*v**3/3 - 3. Let t(u) be the third derivative of f(u). Determine g so that t(g) = 0.
-1, 0
Let a be 4/8 - 18/4. Let n be a/18 - (-26)/36. Factor -1/2*h**3 - n*h + 0 - h**2.
-h*(h + 1)**2/2
Let x(o) be the first derivative of o**4/4 - o**3/3 - 2*o**2 + 4*o - 7. Factor x(m).
(m - 2)*(m - 1)*(m + 2)
Let q(r) be the first derivative of r**4/2 - 3*r**2 + 4*r + 6. Factor q(p).
2*(p - 1)**2*(p + 2)
Let g(m) be the first derivative of -6*m**2 - 8*m**3 + 0*m + 3 - 9/4*m**4. Factor g(s).
-3*s*(s + 2)*(3*s + 2)
Let s(t) be the third derivative of t**8/504 + t**7/105 + t**6/60 + t**5/90 + 12*t**2. Factor s(n).
2*n**2*(n + 1)**3/3
Let q(t) be the third derivative of -t**8/26880 - t**7/2240 - t**5/30 + 5*t**2. Let f(b) be the third derivative of q(b). Factor f(z).
-3*z*(z + 3)/4
Let k(f) be the third derivative of f**7/210 - f**6/200 - 7*f**5/300 + f**4/40 + f**3/15 - 6*f**2. Factor k(y).
(y - 1)**2*(y + 1)*(5*y + 2)/5
Let g be 333/(-36) + (-1)/(-4). Let b be 6 - (g/(-3))/1. Solve -3/2*f + 1/2 - 1/2*f**b + 3/2*f**2 = 0.
1
Factor 2/3*j**3 + 22/3*j**2 + 70/3*j + 50/3.
2*(j + 1)*(j + 5)**2/3
Let y(j) be the third derivative of -j**8/112 + 2*j**7/35 - j**6/10 - j**5/10 + 5*j**4/8 - j**3 + 3*j**2. Factor y(x).
-3*(x - 2)*(x - 1)**3*(x + 1)
Let r(p) be the second derivative of p**5/10 - p**4/6 - 2*p**3/3 + 18*p. Factor r(a).
2*a*(a - 2)*(a + 1)
Let r(v) be the third derivative of v**6/600 + v**5/150 - v**4/30 - 4*v**3/15 + 7*v**2. Determine u so that r(u) = 0.
-2, 2
Let b(v) = -v**3 + 5*v**2 - 4*v + 2. Let k be b(4). Let 7*z - 1 - 12*z**2 - k + 5*z = 0. What is z?
1/2
Let x = 4 - 10. Let j be ((-3)/(-2))/(x/(-8)). Factor 2*v**3 + 0*v + 2*v + 2 - 4*v**3 - j*v**2.
-2*(v - 1)*(v + 1)**2
Let w be ((-16)/(-4))/(8/4). Factor y - 5/3*y**w + 4/3*y**4 + 1/3 - y**3.
(y - 1)**2*(y + 1)*(4*y + 1)/3
Let c(g) be the first derivative of -1/3*g**3 - 1/12*g**4 - 3*g - 1/2*g**2 - 2. Let q(m) be the first derivative of c(m). Suppose q(o) = 0. Calculate o.
-1
Let q = 21 + -17. Suppose -q*f + 3*f = -3. Find w such that 2/7*w**f + 0 + 2/7*w**4 + 0*w - 2/7*w**5 - 2/7*w**2 = 0.
-1, 0, 1
Let q(u) be the second derivative of -u**7/630 + u**6/72 - 2*u**5/45 + u**4/18 + u**2/2 - 3*u. Let c(g) be the first derivative of q(g). Factor c(j).
-j*(j - 2)**2*(j - 1)/3
Determine n, given that 0 + 14/3*n**2 + 0*n + 2/3*n**3 = 0.
-7, 0
Factor 2/5*y**3 + 0*y**2 + 4/5 - 6/5*y.
2*(y - 1)**2*(y + 2)/5
Let o = 3 + -1. Suppose o = 9*a - 8*a. Factor -3*f**2 + 0*f**2 + a*f**2 - f**3.
-f**2*(f + 1)
Let v(l) = l**3 + 7*l**2 - l + 6. Let i be v(-7). Let o = 15 - i. Factor 0 + 1/5*x**o - 1/5*x.
x*(x - 1)/5
Let b(s) be the third derivative of s**7/35 + s**6/15 - 7*s**5/60 - 5*s**2. Let h(k) = 5*k**4 + 7*k**3 - 6*k**2. Let p(y) = 6*b(y) - 7*h(y). Factor p(i).
i**3*(i - 1)
Let b(q) = -5*q - 4. Let k(y) = -y + 1. Let p(d) = -b(d) - 4*k(d). Let a be p(1). Factor 5 - 3*i + 9*i**2 - a*i**3 + 3*i**4 - 5.
3*i*(i - 1)**3
Let z = -380 + 7603/20. Let g = 29/60 - z. Let 1/3*d**3 + 0 + 0*d - g*d**2 = 0. What is d?
0, 1
Suppose -3*p + 1 = -5. Let q = 89/4 + -793/36. Factor -2/9 + q*w**p + 0*w.
2*(w - 1)*(w + 1)/9
Let f(h) be the third derivative of -h**6/120 - h**5/30 + h**4/6 + 4*h**3/3 - h**2. Suppose f(z) = 0. Calculate z.
-2, 2
Let p be (-2)/20 + (-2)/(-4). Let k = p + -1/15. Suppose 2/3*r + k + 1/3*r**2 = 0. What is r?
-1
Let f(h) = -h - 3. Let p be f(-6). Let -p*d - 9*d**2 - 216 - 3*d**4 + 216 - 9*d**3 = 0. What is d?
-1, 0
Let z = 34/3 - 11. Suppose -4*r + 3*w + 23 = 0, 2*r = -10*w + 5*w - 21. Suppose -2/3*d**3 - z*d**r + 0 - 4/3*d**5 + 0*d + 7/3*d**4 = 0. What is d?
-1/4, 0, 1
Let x(i) = 11*i**5 - 3*i**4 - 7*i**3 - i**2 - 5*i. Let k(h) = 5*h**5 - 2*h**4 - 3*h**3 - 2*h. Let w(n) = -5*k(n) + 2*x(n). Determine q, given that w(q) = 0.
-2/3, 0, 1
Let v = -251 - -257. Find s, given that 6/5*s + 33/5*s**4 + v*s**3 - 33/5*s**2 + 0 - 36/5*s**5 = 0.
-1, 0, 1/4, 2/3, 1
Let k = 1025 - 1023. Find t, given that 2/5*t**k + 0 + 2/5*t = 0.
-1, 0
Let x(s) be the third derivative of 7*s**8/48 - s**7/10 - 73*s**6/120 + 17*s**5/60 + s**4 + 2*s**3/3 - 7*s**2. Determine d so that x(d) = 0.
-1, -2/7, 1
Let k = -6 + 4. Let s be ((-14)/6 - k)*-9. Factor 1/3*z**s + 0*z + 1/3*z**2 + 0.
z**2*(z + 1)/3
Let l = -3 + 9. Suppose l*g = 2*g + 12. Determine u, given that -u*