v - 1)**2/4
Factor 4/7*y**2 - 3/7*y - 1/7*y**3 + 0.
-y*(y - 3)*(y - 1)/7
Suppose 7*t - 195 = 2*t. Suppose 0 = -42*n + t*n + 15. Determine w so that 0*w - 4*w**4 - 2/3*w**2 - 3*w**3 - 5/3*w**n + 0 = 0.
-1, -2/5, 0
Let s be 4/18 - (-32)/18. Let o(p) = -29*p + 3*p**s - 2*p**2 + p**2. Let w(u) = u**2 - 10*u. Let r(m) = -4*o(m) + 11*w(m). Factor r(d).
3*d*(d + 2)
Let u(t) be the second derivative of -t**7/294 - t**6/210 + t**5/70 + t**4/42 - t**3/42 - t**2/14 + 22*t. Solve u(y) = 0 for y.
-1, 1
Let z(g) = -2*g**2 + 4*g + 9. Let o be z(3). Let x(d) be the second derivative of 0*d**2 + 4*d + 2/21*d**o - 5/42*d**4 + 0. Factor x(l).
-2*l*(5*l - 2)/7
Suppose 0 = -3*m + 2*m + 4. Let u = 8 - m. Factor 2/9*t**3 + 0*t**2 + 0 + 2/9*t**u + 0*t.
2*t**3*(t + 1)/9
Let s(o) = 10*o**3 + 13*o**2 - 16*o - 16. Let t(u) = 7*u**3 + 9*u**2 - 11*u - 11. Let a(l) = -5*s(l) + 7*t(l). Let x be a(-3). Factor 2 - 4 - v**2 + x.
-(v - 1)*(v + 1)
Factor -16*u**3 - 3*u**2 - 4*u**4 + 23*u - 10*u**2 + 16 + u**2 - 7*u.
-4*(u - 1)*(u + 1)*(u + 2)**2
Let k(h) be the first derivative of -1 + 0*h - 1/5*h**2 + 2/5*h**3. What is g in k(g) = 0?
0, 1/3
Let k(o) = -o**2 - 1. Let q(f) = -8*f**2 + 2*f + 6. Let z(s) = -6*k(s) + q(s). Factor z(g).
-2*(g - 3)*(g + 2)
Factor f**2 - 17/8*f + 5/4 - 1/8*f**3.
-(f - 5)*(f - 2)*(f - 1)/8
Factor -14/3*h**2 + 2*h + 0.
-2*h*(7*h - 3)/3
Suppose -2*a - 3*p + 9 = 0, -p = -5*a - 3*p + 6. Let l be 40/16 + a/2. Factor 7/2*u**2 - l*u - 1.
(u - 1)*(7*u + 2)/2
Let i = 16 + -4. Find r such that -r**2 - 8*r**4 + i*r**3 - 7*r**2 + 0*r + 2*r + 2*r**5 = 0.
0, 1
Let o(i) = 6*i**2 - 15*i - 7. Let j(d) = d**2 - d. Let n(p) = -14*j(p) + 2*o(p). Determine z so that n(z) = 0.
-7, -1
Factor 0 + 0*j**3 + 0*j - 4/5*j**4 + 0*j**2.
-4*j**4/5
Let -3/5*v**2 - 3/5*v**3 + 0 - 1/5*v**4 - 1/5*v = 0. Calculate v.
-1, 0
Let h be 33/(-22)*(-4)/3. Find f such that 0*f**2 + 168*f**3 + 4*f**h - 164*f**3 = 0.
-1, 0
Factor 2*s**4 + 3*s**5 - s + 26*s**2 - 2*s**5 - 28*s**2.
s*(s - 1)*(s + 1)**3
Let f(c) be the second derivative of -c + 0 - 1/9*c**2 + 0*c**3 + 1/54*c**4. Determine v so that f(v) = 0.
-1, 1
Let c(p) be the first derivative of p**6/24 - 2*p**5/5 + 3*p**4/2 - 8*p**3/3 + 2*p**2 - 3. Determine t, given that c(t) = 0.
0, 2
Let h(a) = -a**2 - 2. Let r(f) = 3*f**2 - f + 7. Let d(j) = 7*h(j) + 2*r(j). Factor d(l).
-l*(l + 2)
Let a = 52 - 52. Let m(w) be the first derivative of a*w - 1/20*w**5 - 1 - 3/16*w**4 - 1/8*w**2 - 1/4*w**3. What is h in m(h) = 0?
-1, 0
Let l(t) be the second derivative of -3*t - 2*t**3 - 1/8*t**4 + 0 - 12*t**2. Factor l(f).
-3*(f + 4)**2/2
Factor 0 + 9/2*n**3 + 6*n + 3/4*n**4 + 9*n**2.
3*n*(n + 2)**3/4
Let w be (-2)/9 - (-203)/63. Solve 2/3 - 2/3*a - 2/3*a**2 + 2/3*a**w = 0.
-1, 1
Let q = 25/3 - 8. Factor -1/3*b**2 + 2/3 - q*b.
-(b - 1)*(b + 2)/3
Let g(k) = -53*k + 1. Let a be g(-1). Let l = a + -268/5. Factor -2/5*t + 0 - l*t**2.
-2*t*(t + 1)/5
Let k(a) be the second derivative of 0*a**2 + 2*a + 2/9*a**3 - 1/6*a**4 + 0 + 1/45*a**6 + 0*a**5. Let k(u) = 0. Calculate u.
-2, 0, 1
Let n be 6/10*20/(-30) + 1. Suppose n*i**2 + 3/5 - 6/5*i = 0. What is i?
1
Let z(d) be the second derivative of -d**6/1080 - d**5/360 + d**3/2 - 3*d. Let k(r) be the second derivative of z(r). Factor k(f).
-f*(f + 1)/3
Suppose -2 = 4*l - 10. Let j(c) be the third derivative of -2/3*c**3 - 1/60*c**6 + 0*c + 3*c**l - 5/12*c**4 + 0 - 2/15*c**5. Find w such that j(w) = 0.
-2, -1
Let r(v) be the first derivative of -1/10*v**4 + 1/5*v**2 + 3 + 4/5*v - 4/15*v**3. Suppose r(q) = 0. What is q?
-2, -1, 1
Suppose 28*l = 25*l. Factor 1/2*r**3 + 0*r**2 - 1/2*r**4 + l + 0*r.
-r**3*(r - 1)/2
Let w be (-38)/(-14) - (-8)/28. Determine y so that 2*y**w - 3*y**2 - y**2 + 0*y**2 = 0.
0, 2
Let y be (9/(-4) - -3)*4. Let r(i) be the third derivative of -1/60*i**5 - 5/48*i**4 + 0*i + y*i**2 - 1/6*i**3 + 0. Factor r(m).
-(m + 2)*(2*m + 1)/2
Let t(j) = -7*j**4 - 17*j**3 - 13*j**2 + 5. Let h(l) = 5*l**3 - 8*l**4 - 12*l**2 + 13 - 7 - 23*l**3. Let y(v) = -5*h(v) + 6*t(v). Factor y(s).
-2*s**2*(s + 3)**2
Let f(g) = g + 3. Let x be f(-3). Determine l so that 10/13*l**3 + 4/13*l**2 - 14/13*l**4 + 0*l + x = 0.
-2/7, 0, 1
Let h be (-2)/(-6)*(-12)/200. Let w = 91/450 - h. Let -w*g + 0 - 2/9*g**2 = 0. Calculate g.
-1, 0
Let v(f) be the first derivative of 3*f**6/80 - f**5/10 + f**4/16 - f**2/2 - 1. Let b(y) be the second derivative of v(y). Factor b(k).
3*k*(k - 1)*(3*k - 1)/2
Let n = 9 + -3. Let z = -32 + 49. Let r(w) = 11*w**2 - 5*w - 6. Let h(t) = -4*t**2 + 2*t + 2. Let l(o) = n*r(o) + z*h(o). Factor l(c).
-2*(c - 1)**2
Let u(s) = -2*s**2 + 3*s + 5. Let q(f) = 25*f**2 - 35*f - 60. Let a(n) = -3*q(n) - 35*u(n). Determine c, given that a(c) = 0.
-1, 1
Let u = -11710 + 46471/4. Let v = u + 93. Factor 0 - 1/4*w + v*w**2 - 3/4*w**3 + 1/4*w**4.
w*(w - 1)**3/4
Let v(p) be the first derivative of -p**4/24 + p**2/12 + 3. Find g such that v(g) = 0.
-1, 0, 1
Let f(c) be the second derivative of -c**6/15 + c**5/5 - c**4/6 - 5*c. Suppose f(k) = 0. What is k?
0, 1
Find z such that 1/2*z**4 - 3/2*z**2 + 0*z**3 + 0 - z = 0.
-1, 0, 2
Let n(d) be the first derivative of -d**8/840 + d**7/175 - 2*d**5/75 - 3*d**2/2 - 3. Let k(i) be the second derivative of n(i). Factor k(w).
-2*w**2*(w - 2)**2*(w + 1)/5
Let l(b) be the second derivative of b**7/14 - 14*b**6/5 + 333*b**5/10 - 91*b**4 + 169*b**3/2 - 31*b. Factor l(w).
3*w*(w - 13)**2*(w - 1)**2
Determine s, given that -1/2*s**3 + 0 - 1/4*s + s**4 - s**2 + 3/4*s**5 = 0.
-1, -1/3, 0, 1
Let b be (63/12)/(-3) + -3. Let t = -41/12 - b. Factor 77/3*f**2 + 49/3*f**3 + 32/3*f + t.
(f + 1)*(7*f + 2)**2/3
Let y(w) be the first derivative of w**5/70 + w**4/7 + 4*w**3/7 + 8*w**2/7 + 2*w + 3. Let l(h) be the first derivative of y(h). Solve l(f) = 0 for f.
-2
Let y be 2/15*(50/8)/5. Factor 1/3 + y*l - 1/6*l**2.
-(l - 2)*(l + 1)/6
Let h = 39 + -35. Solve 0*i**2 + 1/3*i**5 + 0 + 0*i + 2/3*i**h + 1/3*i**3 = 0.
-1, 0
Determine x, given that -27/2*x + 15/2*x**2 - 3 = 0.
-1/5, 2
Let f(x) = -x**3 + 16*x**2 - 30*x + 31. Let s be f(14). Let -j**s + 2/3*j**4 + 1/3*j + 0*j**2 + 0 = 0. What is j?
-1/2, 0, 1
Let u be 1/3 - (-112)/24. Factor 5*s**2 - u - 6 - 3*s - 6 + 15.
(s - 1)*(5*s + 2)
Let t be (-39)/52 - (-30)/8. Factor 6*v**2 + 3*v**2 + 9*v + 3*v**3 - t*v.
3*v*(v + 1)*(v + 2)
Suppose 3*o = 2*b + 15, 2*o - 5*o = 3*b - 15. Suppose -a + k - 3 = -2*a, 0 = -5*a + 4*k + 33. Factor -3*h + b*h + a*h + 0*h - h**2.
-h*(h - 2)
Let j = -10 + 10. Suppose j = -4*o + 6 + 2. What is k in -2/7*k**o - 2/7*k + 4/7*k**3 + 0 = 0?
-1/2, 0, 1
Let u(a) be the third derivative of -a**6/480 - a**5/240 + a**4/48 - 6*a**2. Find i such that u(i) = 0.
-2, 0, 1
Let c(q) be the second derivative of -q**5/5 + 2*q**4 - 8*q**3 + 16*q**2 - 5*q. Factor c(y).
-4*(y - 2)**3
Let t be (-12)/(-4)*-1 + 25/7. Solve -2/7*x**3 + 0 - 2/7*x + t*x**2 = 0 for x.
0, 1
Let m(h) be the second derivative of h**5/4 - 5*h**3/2 - 5*h**2 - 9*h. Find n such that m(n) = 0.
-1, 2
Let q(c) = c + 2. Let g be q(3). Determine k so that k**2 + 4*k**3 - g*k**3 + k**2 - k**3 = 0.
0, 1
Let q be (-238)/(-245) + (-4)/10. Suppose 2/7*w + q - 2/7*w**2 = 0. Calculate w.
-1, 2
Find g such that -1/2*g**2 - 1/4*g**3 + 1/2*g**4 + 0 + 0*g + 1/4*g**5 = 0.
-2, -1, 0, 1
Let c be (-7)/(-2)*(-8)/(-14). Factor -4*t**3 - 2*t - 4*t**2 + 3*t**2 + 3*t**2 + 4*t**c.
-2*t*(t - 1)*(2*t - 1)
Let s(z) be the first derivative of 3*z**4/2 + 25*z**3/2 + 63*z**2/2 + 27*z/2 + 19. Factor s(r).
3*(r + 3)**2*(4*r + 1)/2
Let w(l) be the first derivative of l**6/15 + l**5/5 + l**4/6 + 3*l + 3. Let o(k) be the first derivative of w(k). Solve o(b) = 0.
-1, 0
Let i(z) be the second derivative of 3/2*z**3 - 5*z + 0 - 3*z**2 - 1/4*z**4. Determine v so that i(v) = 0.
1, 2
Let t be 2/((-8)/4)*0. Factor -4*w**4 + t*w**2 - 5*w + 5*w**2 + 5*w**3 + 1 - 2*w**2.
-(w - 1)**2*(w + 1)*(4*w - 1)
Let s(m) be the first derivative of -m**6/3 + 4*m**5/3 - 3*m**4/2 + 4*m**3/9 + 41. What is g in s(g) = 0?
0, 1/3, 1, 2
Let q(z) = -5*z**3 - z**2 - 3. Let g(s) = 11*s**3 + 3*s**2 + 7. Let l(h) = -6*g(h) - 14*q(h). Find f such that l(f) = 0.
0, 1
Let q(w) be the third derivative of -w**6/180 + w**5/15 - w**4/3 + 8*w**3/9 + 3*w**2. Let q(s) = 0. What is s?
2
Let k be 12/(-18)*(-2)/56. Let l(c) be the third derivative of 0 - 1/210*c**5 - k*c**4 