x(y) = 0. Calculate y.
-1, 1
Let p be ((-35)/21)/(10/(-8)). Factor 1/3 + a - p*a**2.
-(a - 1)*(4*a + 1)/3
Factor 42/5*r**2 - 32/5*r - 18/5*r**3 + 8/5.
-2*(r - 1)*(3*r - 2)**2/5
Factor -8/7*y**2 - 4/7*y**3 + 16/7*y + 32/7.
-4*(y - 2)*(y + 2)**2/7
Determine o, given that 27*o**2 - 9*o**2 - 15*o**2 + 15*o - 18 = 0.
-6, 1
Suppose -47 + 101 = 18*r. Determine a, given that 0*a + 0 - 1/4*a**r + 0*a**2 = 0.
0
Find v such that 1/12*v**2 + 1/6*v + 1/12 = 0.
-1
Let c(i) be the first derivative of 2/35*i**5 + 4 + 2/7*i**3 - 3/14*i**4 + 0*i - 1/7*i**2. Let c(s) = 0. Calculate s.
0, 1
Let w(l) be the second derivative of 3*l**5/20 + l**4/2 + l**3/2 - 2*l. Suppose w(p) = 0. What is p?
-1, 0
Suppose 0 = -3*r - 2*k - 64, 0 = -3*r + 6*k - k - 29. Let t be 6/(-8)*12/r. Factor -3/4*i - 1/4 - 1/4*i**2 + 3/4*i**3 + t*i**4.
(i - 1)*(i + 1)**2*(2*i + 1)/4
Let c(t) be the second derivative of t**6/30 + t**5/20 - 6*t. Solve c(n) = 0.
-1, 0
Factor -1/3*m**3 + 4/3*m**2 + 0 + 0*m.
-m**2*(m - 4)/3
Let n = 22 - 8. Let t = n - 10. Determine x, given that -2*x + 3 + 3*x**3 - 4 - x**3 + x**t = 0.
-1, 1
Solve 3/8 - 1/8*v**2 - 1/4*v = 0 for v.
-3, 1
Let u be (54/(-63))/(1/7). Let w(j) = -3*j**3 - 6*j**2 - 8*j - 1. Let n(g) = 3*g**3 + 5*g**2 + 8*g + 2. Let l(c) = u*w(c) - 5*n(c). Factor l(v).
(v + 2)**2*(3*v - 1)
Suppose 3*i + 4 - 10 = 0. Suppose r + 1 - 12 = -l, 0 = -4*r - i*l + 38. Factor 14*a + 10*a - 10*a - 4 + r*a**2.
2*(a + 2)*(4*a - 1)
Let j(i) = -i**3 - 2*i**2 + 7*i - 1. Let d be j(-4). Let s be 63/14 + d/4. Factor -3/2*o + 0 + 15/4*o**2 + s*o**3.
3*o*(o + 1)*(7*o - 2)/4
Let x(f) = -f**3 + 9*f**2 - 8*f + 3. Let h be x(8). Factor -5*o**h - 12*o - 2*o**3 - 4 - 12*o**2 + 3*o**3.
-4*(o + 1)**3
Solve 0 + 0*s - 4/5*s**2 + 2/5*s**4 + 2/5*s**3 = 0 for s.
-2, 0, 1
Let s(k) be the second derivative of -1/10*k**4 + 1/100*k**5 + 6*k + 3/10*k**3 + 0*k**2 + 0. Factor s(f).
f*(f - 3)**2/5
Suppose -5*u = 3*x - 31, 3*u - 5*x - 1 = 4. Find q such that -26*q**5 - 30*q**3 + 10*q**4 + 4*q**2 - 23*q**5 + 58*q**4 + 7*q**u = 0.
0, 2/7, 1/3, 1
Let v(y) = 45*y**2 - 215*y - 35. Let i(t) = -5*t**2 + 24*t + 4. Let c(x) = -35*i(x) - 4*v(x). Determine l, given that c(l) = 0.
0, 4
Suppose -2*k - 20 = -3*a, 4*a - 3*k = -12 + 39. Let w be (-22)/(-66) + 10/a. Solve 1/2*y**4 - 1/2*y**w - y + y**3 + 0 = 0.
-2, -1, 0, 1
Let q = -31/6 + 161/30. Let t(z) be the first derivative of z - 2*z**2 - z**4 + 2*z**3 - 3 + q*z**5. Factor t(l).
(l - 1)**4
Let b(u) be the first derivative of u**4/16 - 17*u**3/12 + 63*u**2/8 + 81*u/4 + 22. Factor b(t).
(t - 9)**2*(t + 1)/4
Let p = 25/2 + -12. Find j, given that p*j + 1/4*j**2 + 1/4 = 0.
-1
Let j be 0/(9/(-3)) - 1*-2. Factor -2 + j*w - 1/2*w**2.
-(w - 2)**2/2
Let h(l) be the second derivative of -l**5/4 - 15*l**4/2 - 90*l**3 - 540*l**2 - 7*l. Factor h(z).
-5*(z + 6)**3
Let w be -1 + (-2 - 1)*(-4)/3. Solve -1/2 + 5/4*s - s**2 + 1/4*s**w = 0.
1, 2
Let m(q) be the first derivative of -q**6/105 + q**5/70 + q**4/42 - q**3/21 + 3*q - 2. Let j(h) be the first derivative of m(h). Determine w so that j(w) = 0.
-1, 0, 1
Suppose -5/2*b**2 + 3/2*b**3 + 1/2*b + 1/2 = 0. What is b?
-1/3, 1
Let i be (-8)/(-36) - 388/(-36). Factor 19*m**2 + 13*m + 23*m + 4*m**3 - i*m**2 + 16*m**2.
4*m*(m + 3)**2
Suppose 0*o = 3*o - 12. Factor 4*s + s**4 + 5*s**2 - 1 - 2*s**4 + o*s**3 - 11*s**2 + 0*s**3.
-(s - 1)**4
Let r be (-2 + 26)*(-7)/(-4). Let p be 16/(-6)*(-9)/r. Let 2/7 - p*b + 4/7*b**3 - 2/7*b**4 + 0*b**2 = 0. What is b?
-1, 1
Let t(x) = x**3 + 3*x**2 - 2*x + 8. Let u be t(-4). Solve -2/7*v + u*v**3 - 4/7*v**2 + 0 + 2/7*v**5 + 4/7*v**4 = 0.
-1, 0, 1
Suppose -2*i + 5*i = 96. Factor 11*t**2 + t**2 + 8 + 2*t**2 - i*t.
2*(t - 2)*(7*t - 2)
Suppose -6*u + 12 = 3*l - 9*u, -5*l + 8 = -2*u. Factor 0 - 2/11*a**2 + l*a.
-2*a**2/11
Let y(m) be the third derivative of -m**6/540 + m**5/270 + m**4/54 - 3*m**2. Factor y(d).
-2*d*(d - 2)*(d + 1)/9
Factor -5*g - g - g**2 - g**3 + 4*g**2 + 10*g**3.
3*g*(g + 1)*(3*g - 2)
Let g(v) = 9*v**2 + 15*v. Let k(q) = 8*q**2 + 16*q. Let z(l) = 3*g(l) - 2*k(l). Let y(n) = n**2 + n - 1. Let x(u) = 2*y(u) - z(u). What is r in x(r) = 0?
-1, -2/9
Let n(m) = -10*m + 10. Let d be n(1). Solve -1/2*h**2 + d*h + 0 = 0 for h.
0
Suppose 0*v + 31 = 2*v - 5*f, -5*v + 5*f + 40 = 0. Suppose 8/5*l**v + 2/5*l - 2*l**2 + 0 = 0. What is l?
0, 1/4, 1
Let u(g) be the third derivative of -g**6/120 + g**3/6 + 7*g**2. Let x(r) = 2*r**4 - r**3 - 4*r + 3. Let k(a) = -10*u(a) + 2*x(a). Factor k(c).
4*(c - 1)*(c + 1)**3
Factor 2*l**3 + l**2 + 11*l**2 - 22*l**3.
-4*l**2*(5*l - 3)
Let n be 5/(-35) + 598/21. Let b = n - 28. Factor -4/3*k**2 + 0 + 1/3*k**3 - b*k + 4/3*k**4.
k*(k - 1)*(k + 1)*(4*k + 1)/3
Let a(z) = -z**2 - 2*z - 2. Let n(f) = 2*f**2 + 5*f + 5. Let k(m) = -5*a(m) - 2*n(m). Factor k(v).
v**2
Let j(x) be the first derivative of -x**4/3 - 14*x**3/9 - 7*x**2/3 - 4*x/3 - 2. Factor j(c).
-2*(c + 1)*(c + 2)*(2*c + 1)/3
Let v = -1/22010 + 1601231/77035. Let p = -41/2 + v. Suppose 2/7*i + 0 - 2/7*i**3 + 2/7*i**4 - p*i**2 = 0. Calculate i.
-1, 0, 1
Let n(m) be the second derivative of 9*m**7/1120 - m**6/240 + m**3/3 - m. Let t(o) be the second derivative of n(o). Factor t(x).
3*x**2*(9*x - 2)/4
Suppose 2*q + 8 = 0, -5*w + 14 = -4*q - 17. Let -2*h - w*h**2 + 2*h + h**2 + 2*h = 0. Calculate h.
0, 1
Suppose r - 4*r = 0. Suppose -2 = -f - r*f. Factor -k**4 + k**f - k**5 + k**3 - 2*k**3 + 2*k**5.
k**2*(k - 1)**2*(k + 1)
Let q be ((-156)/27 + 6)*(-18)/(-8). Factor 0 - 1/4*t**3 - 1/4*t**2 + q*t.
-t*(t - 1)*(t + 2)/4
Let y(k) be the third derivative of k**6/80 + k**5/10 - 3*k**4/16 - 9*k**3/2 + 29*k**2. Factor y(w).
3*(w - 2)*(w + 3)**2/2
Let b(p) = 7*p**5 + 9*p**4 - 3*p**3 - 11*p**2 - 5*p + 5. Let g(o) = 8*o**5 + 10*o**4 - 2*o**3 - 10*o**2 - 6*o + 6. Let a(l) = 6*b(l) - 5*g(l). Factor a(y).
2*y**2*(y - 2)*(y + 2)**2
Suppose 11 = 3*y + 4*q, -3 = -q + 4*q. Suppose c - 2*c + y*k - 22 = 0, -25 = -5*k. Determine j, given that j + 5/2*j**c + 0 + 7/2*j**2 = 0.
-1, -2/5, 0
Let q = -36/17 + 176/51. Let j(m) be the first derivative of -3 - 1/3*m**2 + q*m + 1/6*m**4 - 4/9*m**3. Factor j(t).
2*(t - 2)*(t - 1)*(t + 1)/3
Let o(a) be the first derivative of -5 + 0*a**3 + 0*a + 0*a**5 + 1/3*a**6 - a**4 + a**2. Factor o(w).
2*w*(w - 1)**2*(w + 1)**2
Suppose t - 12 = 4*t. Let c(p) = -p. Let x be c(t). Determine j so that -2*j**3 - 2/3*j + 0 + 2*j**2 + 2/3*j**x = 0.
0, 1
Let h(y) be the second derivative of 0 + 0*y**2 + 1/135*y**6 + 1/45*y**5 - 2/27*y**3 + 3*y - 1/54*y**4. Factor h(t).
2*t*(t - 1)*(t + 1)*(t + 2)/9
Factor -12/5*n**4 + 0*n + 4/5*n**5 + 8/5*n**3 + 0*n**2 + 0.
4*n**3*(n - 2)*(n - 1)/5
Suppose u = u + 3*u. Factor -4/7*x + 2/7*x**3 + u - 2/7*x**2.
2*x*(x - 2)*(x + 1)/7
Let d(b) = -b**3 + b + 1. Suppose 5*j - 11 = 9. Let s(i) = -3*i**2 - 6*i + i**3 - 3*i + 5*i - j. Let o(v) = -4*d(v) - s(v). Factor o(m).
3*m**2*(m + 1)
Factor -10*h**4 - 2*h**5 + 5*h**2 - 19*h**2 - 4*h + 0*h**5 - 18*h**3.
-2*h*(h + 1)**3*(h + 2)
Let y(z) be the first derivative of -5*z**4/4 - 23*z**3/3 - 5*z**2 + 8*z + 7. Suppose y(r) = 0. What is r?
-4, -1, 2/5
Let n be (2 + -1)*0/(-1). Let k(j) be the second derivative of 0*j**2 + n - 1/15*j**4 - 3/50*j**5 + 1/15*j**3 + 2*j. Factor k(t).
-2*t*(t + 1)*(3*t - 1)/5
Factor 2*a + 4*a + 0*a + 3*a + 3 - 12*a**2.
-3*(a - 1)*(4*a + 1)
Let g(i) be the third derivative of 1331*i**8/336 + 242*i**7/15 + 66*i**6/5 + 68*i**5/15 + 2*i**4/3 - 29*i**2. Factor g(w).
w*(w + 2)*(11*w + 2)**3
Let b(y) = -7*y**2 - 2*y + 5. Let z(l) = -3*l**2 - l + 2. Let i(o) = -4*b(o) + 10*z(o). Factor i(v).
-2*v*(v + 1)
Factor 1/2*r**2 + 3*r + 9/2.
(r + 3)**2/2
Let q = 3324/8285 + -2/1657. Let l = -2/5 - -4/5. Find a such that 0 + l*a**2 - q*a = 0.
0, 1
What is k in 2/5*k**2 + 2/5*k**3 + 1/5 - 3/5*k - 3/5*k**4 + 1/5*k**5 = 0?
-1, 1
Factor 1360 + 2*g**3 + 392*g + 208*g + 640 + 60*g**2.
2*(g + 10)**3
Suppose 34 = 44*f - 54. Suppose -8/7 - 88/7*j - 242/7*j**f = 0. What is j?
-2/11
Factor -l**2 + 2*l**2 - l**4 + l - l**3 + 0*l.
-l*(l - 1)*(l + 1)**2
Suppose -2*b + 3*b = 0. Let z(x) = x**3 + x**2 - x + 3. Let u be z(b). Suppose -2/3*q - 2/3*q**u + 0 - 4/3*q**2 = 0. Calculate q.
-1, 0
Let z be (-2)/5 + (-24)/(-10). Suppose -4*o + a + 4*a + 20 = 0, 4*o - 3*a - 12 = 0. Factor 0*f + o + 1/2*f**z.
f**2/2
Let h(p) = 4*p**3 - 10*p**2 - 17*p - 8. Le