) = 0?
-2, -1, 0, 1
Let a be (-6)/115*80/108. Let r = 3766/1035 + a. Factor -2/5*s + 0 - 12/5*s**2 - r*s**3.
-2*s*(3*s + 1)**2/5
Let h(i) = -i**4 - i**3 + i**2 - i + 1. Suppose -4*x = x + 10. Let d(g) = 2*g**5 - 2*g**4 + 4*g**3 - 2*g**2 + 2*g - 2. Let y(b) = x*h(b) - d(b). Factor y(p).
-2*p**3*(p - 1)**2
Find d, given that 33*d - 439 + 3*d**3 + 487 - 9*d - 21*d**2 = 0.
-1, 4
Suppose 2*l - 4 = 2*c - 4*c, 0 = -5*l + 3*c + 10. Suppose q - 2*a + 8 + 0 = 0, -l*a = -8. Factor 0*p**2 + 0*p**3 + 0 + 0*p + 2/5*p**5 + q*p**4.
2*p**5/5
Let y(g) be the third derivative of -g**5/270 + 4*g**3/27 - 8*g**2. Factor y(w).
-2*(w - 2)*(w + 2)/9
Suppose 4*h - 96 = -2*h. Factor -z**5 + 0*z**3 + 2*z - h*z**4 + 4 + 6*z + z**2 + 11*z**4 - 7*z**3.
-(z - 1)*(z + 1)**2*(z + 2)**2
Let z(q) be the third derivative of q**5/240 - q**4/24 + q**3/8 - 11*q**2. Suppose z(f) = 0. Calculate f.
1, 3
Let r(j) = 21*j**5 + 41*j**4 - 11*j**3 - 11*j**2 + 11*j - 11. Let o(y) = 4*y**5 + 8*y**4 - 2*y**3 - 2*y**2 + 2*y - 2. Let i(g) = 11*o(g) - 2*r(g). Factor i(q).
2*q**4*(q + 3)
Let g be (-6)/2 + (7 + 5 - 5). Let a(q) be the first derivative of 3 + 0*q**3 + 0*q**2 + 1/18*q**g + 0*q + 2/45*q**5. Factor a(r).
2*r**3*(r + 1)/9
Let s(u) = 11*u**2 - 11*u - 5. Suppose -5*l + 0 = -10. Let w(f) = 49*f + 5 + 13 - 24*f**2 - 10*f - 15*f**l. Let p(z) = 18*s(z) + 5*w(z). Factor p(o).
3*o*(o - 1)
Let m(w) be the third derivative of -w**7/70 - w**6/40 + w**5/10 + w**2. What is n in m(n) = 0?
-2, 0, 1
Let h(c) be the first derivative of 1/9*c**3 + 1/12*c**4 - 1/6*c**2 - 1 - 1/3*c. Factor h(r).
(r - 1)*(r + 1)**2/3
Let q(l) = l**2 + l - 8. Let v be q(-4). What is c in 0 + 16/3*c**v + 4/3*c**5 + 16/3*c**2 + 8*c**3 + 4/3*c = 0?
-1, 0
Let j be 9/6 + (-3 - (-2 - 2)). Determine n, given that n**4 - 5*n**3 - 2*n**2 + 1 + 5/2*n**5 + j*n = 0.
-1, -2/5, 1
Let y(b) = 12*b**3 + 82*b**2 + 264*b + 138. Let w(n) = -25*n**3 - 165*n**2 - 528*n - 275. Let v(t) = -6*w(t) - 13*y(t). Factor v(c).
-2*(c + 6)**2*(3*c + 2)
Suppose 3 = 3*w - 3. Suppose -4 = -3*s + 4*f, -w*f - 3 + 1 = 3*s. Let s*z - 3/5*z**3 + 0*z**2 + 0 = 0. What is z?
0
Suppose 0 + 8/3*t**2 - 8/3*t**4 - 1/3*t**3 + 4/3*t - t**5 = 0. Calculate t.
-2, -1, -2/3, 0, 1
Suppose 7*x - 660 = 4*x. Let o be x/99 - 2/9. Factor 2/3*g + 0 - 2/3*g**o.
-2*g*(g - 1)/3
Let f be (-6 + 5 - (3 - 4))/(-3). Let u = 45/2 - 22. Find r such that 1/2*r**4 + f + u*r**3 - 1/2*r - 1/2*r**2 = 0.
-1, 0, 1
Let v(q) = -q**3 - 19*q**2 + 18*q - 38. Let r be v(-20). Determine h so that 0 + 3/7*h**3 + 3/7*h**r + 0*h - 6/7*h**4 = 0.
-1/2, 0, 1
Let b(l) = l**2 + l**5 + 8*l + 4*l**3 - 3*l**3 - 9*l - 1. Let t(q) = -7*q**5 + 2*q**4 - 3*q**3 - 7*q**2 + 5*q + 5. Let a(i) = -5*b(i) - t(i). Factor a(s).
2*s**2*(s - 1)**2*(s + 1)
Let s = -5 - -10. Suppose 0 = -4*o + 2*o. Determine r, given that o*r - 2*r + r**4 - 4*r**2 + 3*r**4 + 2*r**s = 0.
-1, 0, 1
Let l(s) be the third derivative of s**5/240 - s**3/6 - 8*s**2. Factor l(x).
(x - 2)*(x + 2)/4
Let k(l) = -l**3 - 7*l + 5. Let z be k(4). Let g = z + 177/2. Let g*j - 1/2*j**2 - 1 = 0. What is j?
1, 2
Let p(b) be the second derivative of -b**6/15 + b**5/10 + 7*b. What is m in p(m) = 0?
0, 1
Suppose 9 = 10*n - 21. Determine g so that 0 - 1/4*g + 1/4*g**4 + 1/4*g**n - 1/4*g**2 = 0.
-1, 0, 1
Let k(b) be the second derivative of -14*b**3 + 0 - 5/2*b**6 - 7*b - 21/2*b**5 - 6*b**2 - 69/4*b**4. What is l in k(l) = 0?
-1, -2/5
Let q = -21 - -24. Let y(z) be the first derivative of -2/33*z**q + 2/11*z - 2 + 0*z**2. Factor y(o).
-2*(o - 1)*(o + 1)/11
Let l(p) be the first derivative of -p**6/3 - 4*p**5/5 + 4*p**3/3 + p**2 + 17. Suppose l(m) = 0. Calculate m.
-1, 0, 1
Let b(c) be the first derivative of -3*c**4/4 + c**3 + 3*c**2/2 - 3*c + 4. Factor b(y).
-3*(y - 1)**2*(y + 1)
Let n(u) = u**3 - 3*u**2 - 2*u - 4. Let h be n(4). Suppose 2 = -t + 3*r - 5, -h*r = -4*t - 4. Let 4*c**2 - 2 + 2 - t*c**4 - 2 = 0. Calculate c.
-1, 1
Let y(o) be the second derivative of 2/3*o**3 - 2*o + 0 + 1/6*o**4 + o**2. Factor y(r).
2*(r + 1)**2
Let j(t) = t**2 - t + 1. Let m(i) = -i**4 - 3*i**2 + 5*i - 6. Let q = -5 + 0. Let s(r) = q*j(r) - m(r). Determine c so that s(c) = 0.
-1, 1
Suppose -2 = l - 2*l. Factor 3*w**2 - 3*w**3 + 0*w**l + 15*w - 3 - 12*w.
-3*(w - 1)**2*(w + 1)
Let a be (-2)/(-8) - 9/(-12). Suppose 4*p + a = 3*b - 15, -12 = -5*b + 3*p. Let 1/2*z**2 + b + 0*z - 1/2*z**5 + 1/2*z**3 - 1/2*z**4 = 0. What is z?
-1, 0, 1
Find h such that -20*h**2 + 12*h**4 + 7*h**5 + 4*h**2 - 7*h**5 + 4*h**5 = 0.
-2, 0, 1
Let c(b) be the second derivative of -b**7/12600 - b**6/1800 - 2*b**4/3 - 5*b. Let z(v) be the third derivative of c(v). Find i such that z(i) = 0.
-2, 0
Let l(d) = -3*d + 17. Let u be l(5). Let s = -14/25 + 148/175. Solve 8/7*i**3 - s + u*i**2 + 4/7*i = 0 for i.
-1, 1/4
Let d be 22/(-18) - (-6)/27. Let q be d/2 - 10/(-4). Factor -f**q - f**5 + f**3 - 3*f**2 - f**4 + 5*f**2.
-f**2*(f - 1)*(f + 1)**2
Let d = -191/63 - -29/7. Factor -4/9*a**2 + 4/9 - d*a**3 + 10/9*a.
-2*(a - 1)*(a + 1)*(5*a + 2)/9
Let v(f) be the first derivative of f**3 + 3*f**2 - 9*f - 1. Solve v(h) = 0.
-3, 1
Let v(q) be the first derivative of 5*q**6/6 + 5*q**5 + 45*q**4/4 + 35*q**3/3 + 5*q**2 - 40. Find i such that v(i) = 0.
-2, -1, 0
Suppose 0 = -4*u + 2*u + 6. What is g in -5*g**3 + 11*g**3 - 6*g - u*g**4 + 0*g + 3*g**2 = 0?
-1, 0, 1, 2
Let q(y) be the third derivative of y**6/360 + y**3/3 + 3*y**2. Let w(d) be the first derivative of q(d). Factor w(a).
a**2
Let l = -45 - -91/2. Let i(q) be the first derivative of 0*q - 1 - 1/3*q**3 + l*q**2. Determine f, given that i(f) = 0.
0, 1
Let d be 3/(-3)*0/4. Let u(r) be the second derivative of r**2 + 0*r**3 + 3*r + d - 1/6*r**4. Find j, given that u(j) = 0.
-1, 1
Let q = 1 + -4. Let z be (q/(-6))/(2/12). Factor 9*k - 5 - 10*k**z - 24*k**2 - 27*k + 1.
-2*(k + 1)**2*(5*k + 2)
Let w(u) be the first derivative of u**5/25 + u**4/20 - 2*u**3/15 + 12. Solve w(y) = 0.
-2, 0, 1
Suppose 0 = -5*q + 7*q. Suppose 5*p - 12 - 3 = 0. Factor x**5 + 5/4*x**4 + 1/4*x**p + 0*x**2 + 0 + q*x.
x**3*(x + 1)*(4*x + 1)/4
Let y(p) be the second derivative of 2*p**2 - 1/42*p**7 + 1/12*p**4 + 0 - 1/6*p**6 + 4/3*p**3 - 7/20*p**5 + 2*p. Solve y(s) = 0.
-2, -1, 1
Let l(y) = 19 - 11 + 0*y**2 + 3*y**2 - y**2. Let i(m) = m**2 + 5. Let k(o) = -8*i(o) + 5*l(o). What is s in k(s) = 0?
0
Let b = 2617/5 + -521. Let 6/5*d + 3/5 - 21/5*d**2 + b*d**3 = 0. Calculate d.
-1/4, 1
Let u(f) be the first derivative of f**8/5040 - f**6/1080 - 4*f**3/3 + 2. Let t(c) be the third derivative of u(c). Determine w, given that t(w) = 0.
-1, 0, 1
Let p(u) be the second derivative of -u**5/2 - 5*u**4/4 - 5*u**3/6 + u. Factor p(q).
-5*q*(q + 1)*(2*q + 1)
Suppose 9 = 5*k - 2*k. Factor 5*x - k*x - x**2 + 0*x + 11 - 12.
-(x - 1)**2
Suppose t = -0*t + 25. Let x be (5/t)/((-3)/(-10)). Factor -x*d**4 + 1/3*d - 1/3*d**5 + 0 + 2/3*d**2 + 0*d**3.
-d*(d - 1)*(d + 1)**3/3
Suppose 3*q + 3 = 0, -49 = -5*p + 5*q - 4. What is j in 3*j**2 + 2*j**4 - 5*j - 7*j**2 + 16*j**3 - 3*j + 2 - p*j**5 = 0?
-1, 1/4, 1
Let 1/4*f**2 - 1/4*f**3 + 0 + 1/2*f = 0. Calculate f.
-1, 0, 2
Solve 9*d - 12*d**4 - 22*d**3 + 7*d**3 + 15*d**2 - 3 + 6*d**3 = 0 for d.
-1, 1/4, 1
Let o(u) be the first derivative of -9*u**5/5 - 6*u**4 - 6*u**3 + 3*u - 9. Suppose o(l) = 0. Calculate l.
-1, 1/3
Suppose -14 = -68*p + 61*p. Factor 10/11*a**p + 0 - 8/11*a**3 - 4/11*a + 2/11*a**4.
2*a*(a - 2)*(a - 1)**2/11
Let b(v) = -5*v**2 - 2*v + 1. Let x be b(-2). Let h = 21 + x. What is l in 0*l - 5*l**2 - l - 2 + h*l**2 = 0?
-1, 2
Solve 4/3*q - 1/3*q**3 - 4/3 + 1/3*q**2 = 0.
-2, 1, 2
Let a(k) be the third derivative of k**6/1140 - 2*k**5/285 - k**4/228 + 4*k**3/57 + 9*k**2. Determine g, given that a(g) = 0.
-1, 1, 4
Let m(u) = -u**2 - 5*u + 8. Let k(w) = -15*w**2 - 81*w + 129. Suppose 0 = -4*r + 7*r + 99. Let s(p) = r*m(p) + 2*k(p). Factor s(c).
3*(c - 1)*(c + 2)
Let c(i) = -17*i**5 + 18*i**4 - 18*i**3 + 6*i**2 - 11*i - 11. Let m(b) = 9*b**5 - 9*b**4 + 9*b**3 - 3*b**2 + 6*b + 6. Let p(q) = 6*c(q) + 11*m(q). Factor p(t).
-3*t**2*(t - 1)**3
Determine l so that 1/8*l**5 - 1/8*l**4 - 1/4*l**3 + 0*l + 0 + 0*l**2 = 0.
-1, 0, 2
Let t(u) = -u**3 + 6*u**2. Let h be (-22)/(-4) - 1/(-2). Let w be t(h). Factor 1/2*m**2 + w - 1/2*m.
m*(m - 1)/2
Let d(q) be the third derivative of -q**6/420 - 3*q**5/3