) = 0?
-3, -1, 0, 1
Let l(d) = -12*d**3 - 14*d**2 - 8*d + 6. Let p(f) = -f**3 - f**2 - f + 1. Let o(b) = l(b) - 6*p(b). Factor o(y).
-2*y*(y + 1)*(3*y + 1)
Let c(v) = -v. Let y(d) = 5*d**5 + 20*d**4 - 70*d**2 - 70*d - 30. Let u(n) = -15*c(n) - y(n). Factor u(o).
-5*(o - 2)*(o + 1)**3*(o + 3)
Let u(j) be the first derivative of 2 - 1/7*j**4 + 8/35*j**5 + 0*j - 8/21*j**3 - 1/7*j**2 + 1/7*j**6. Determine t, given that u(t) = 0.
-1, -1/3, 0, 1
Suppose 2*s - 1 = 3. Let -v**5 + 4*v**3 + 2*v**2 - v - 1 + s*v**4 + v**4 - 4*v**4 - 2*v**3 = 0. What is v?
-1, 1
Suppose -2*h - 4*m - 8 = 0, -h - 4*m = -2 + 12. Let v(o) be the second derivative of 0 + 1/15*o**3 - 2*o + 1/5*o**h - 1/15*o**4. Factor v(y).
-2*(y - 1)*(2*y + 1)/5
Suppose 0 = 6*s + 6 - 0. Let r(c) = 30*c**2 + 22*c - 8. Let h(i) = -i**2 - i. Let b(p) = s*r(p) - 2*h(p). Find t, given that b(t) = 0.
-1, 2/7
Let x(k) be the third derivative of k**6/200 + k**5/100 - k**4/20 - 5*k**2 + 4. Factor x(r).
3*r*(r - 1)*(r + 2)/5
Suppose 40 = 4*q + 28. Let t(x) be the third derivative of -1/20*x**4 + 1/30*x**q + 0*x + 0 + 3/100*x**5 - x**2. Factor t(d).
(3*d - 1)**2/5
Let u be ((-4)/36)/((-4)/18). Suppose -s + u*s**2 + 1/2 = 0. Calculate s.
1
Let f(c) be the first derivative of -2*c**3/11 + 6*c**2/11 + 18*c/11 - 20. Find g such that f(g) = 0.
-1, 3
Suppose -p - 10 = p. Let o(w) = -4*w**4 - 9*w**3 + 5*w**2 + 5. Let c(h) = -2*h**4 - 4*h**3 + 2*h**2 + 2. Let x(a) = p*c(a) + 2*o(a). What is z in x(z) = 0?
-1, 0
Let i(t) be the second derivative of 0 - 1/3*t**4 + 0*t**2 + 1/20*t**5 + 2/3*t**3 + 5*t. Solve i(y) = 0.
0, 2
Factor 14*x**2 - 14 - 17 - 11 + 48 - 20*x.
2*(x - 1)*(7*x - 3)
Let t(w) = -w**2 + 8*w - 7. Let y be t(5). Let 3*r**3 + r**4 + 7*r**3 - 8*r - 7*r**4 + y*r**2 = 0. What is r?
-1, 0, 2/3, 2
Let a(q) be the first derivative of -q**3/2 + 3*q**2/2 + 4. Factor a(t).
-3*t*(t - 2)/2
Suppose 3*y = 4*k - y, 9 = 5*k - 2*y. Let n be 6/(-4)*(-8)/k. Factor 3*m + 2*m**3 + 4 - n - 5*m.
2*m*(m - 1)*(m + 1)
Let o(l) = l**3 - 3*l**2 + 1. Let p(r) = -r**3 + 3*r**2 - 2. Let n(x) = -4*o(x) - 5*p(x). Let b(w) be the first derivative of n(w). Let b(g) = 0. Calculate g.
0, 2
Let l(g) be the third derivative of 0*g + 1/10*g**5 + 0 + 1/8*g**4 + g**2 + 0*g**3 + 1/40*g**6. Factor l(z).
3*z*(z + 1)**2
Let y(u) = u**2 - u. Let z(b) = -b**2 - 5*b + 0*b + 0*b + 4 + 1. Let t be z(-5). Let k(p) = -p**3 - 5*p**2 + 8*p + 2. Let s(x) = t*y(x) + k(x). Factor s(w).
-(w - 2)*(w + 1)**2
Let u = -235 - -501/2. Let r = u + -15. Factor -1/2*a**5 + a**2 + r*a + 0*a**3 + 0 - a**4.
-a*(a - 1)*(a + 1)**3/2
Let o(a) be the second derivative of -6*a + 0 - 1/4*a**2 - 1/24*a**4 + 1/6*a**3. Factor o(k).
-(k - 1)**2/2
Let v be 7/3 + 6/(-18). Let d(z) be the first derivative of z**v + 0*z + 2/3*z**3 + 1. Suppose d(w) = 0. What is w?
-1, 0
Let m(b) be the third derivative of -b**8/24 - 2*b**7/105 + 7*b**6/60 + b**5/15 - 17*b**2. Determine i, given that m(i) = 0.
-1, -2/7, 0, 1
Let s = 39643/6726 - 37/354. Let d = -94/95 + s. Factor d*f**2 - 22/5*f + 4/5 + 18/5*f**3.
2*(f + 2)*(3*f - 1)**2/5
Suppose -s - 4 = -2*s. Factor -s*j + 4*j**3 - 2*j**2 + 4*j.
2*j**2*(2*j - 1)
Let v be 8/12*(2 - -1). Determine g so that 4*g**3 + 2*g**3 + 9*g**v - 2*g + 5*g**4 - 4*g - 14*g**4 = 0.
-1, 0, 2/3, 1
Factor -22/3*n - 7/3 - 1/3*n**4 - 8*n**2 - 10/3*n**3.
-(n + 1)**3*(n + 7)/3
Suppose -6*o + 0*o + 12 = 0. Suppose -c - 5*r = -7, 5*c + r - 9 = o. Determine d, given that -2/7*d**3 + 0 + 2/7*d - 2/7*d**c + 2/7*d**4 = 0.
-1, 0, 1
Let i(p) = -5*p. Let b be i(-1). Suppose -4 + 7*m + 5 - m**2 - b - 3*m = 0. What is m?
2
Let v be 1/((-6)/(-2))*0. Let -3*h + h**2 + 1 + v*h**2 - h + 3 = 0. What is h?
2
Let z(w) be the second derivative of -w**7/210 - 2*w**6/75 - 3*w**5/50 - w**4/15 - w**3/30 + 7*w. Find p, given that z(p) = 0.
-1, 0
Factor 2 + 0*r**2 - 4 + 4 - 2*r**2.
-2*(r - 1)*(r + 1)
Let w(f) be the second derivative of -f**8/840 + f**6/60 + f**5/30 - f**3/3 - 5*f. Let m(h) be the second derivative of w(h). Let m(d) = 0. Calculate d.
-1, 0, 2
Let b(m) be the third derivative of -m**5/60 - m**4/6 - 2*m**3/3 - 28*m**2. Solve b(n) = 0 for n.
-2
Let t(r) be the first derivative of -r**7/2520 - r**6/540 + 2*r**3/3 + 3. Let n(l) be the third derivative of t(l). Factor n(p).
-p**2*(p + 2)/3
Let o be -6 - ((-1280)/210 + (-8)/(-84)). Factor o + 4/3*b**3 + 1/3*b**4 + 4/3*b**2 + 0*b.
b**2*(b + 2)**2/3
Let c be (-7)/(-2) - 0 - 2. Factor -c*m**2 + 1/2*m + 1.
-(m - 1)*(3*m + 2)/2
Let q = 246/7 - 401/14. Let h = q - 61/10. Factor 0 + 0*f + h*f**2.
2*f**2/5
Let c be (18/15)/((-2)/(-5)). Factor w**5 - c*w**3 + 4*w - w**2 + 5*w**2 - 3*w + 9*w**3 + 4*w**4.
w*(w + 1)**4
Let w(n) = n**3 - 6*n**2 + 3*n + 2. Let q be w(5). Let x be (-18)/q - 1/4. Find c, given that 3*c - 4*c + 4*c**2 - 3*c**x = 0.
0, 1
Let o = 20/41 - -1/82. Let d(u) be the first derivative of -3 + 4*u - o*u**4 + 8/3*u**3 - 5*u**2. Find c such that d(c) = 0.
1, 2
Let y(m) be the third derivative of m**8/56 - 4*m**7/105 - 7*m**6/60 + 2*m**5/15 + m**4/3 - 5*m**2. What is o in y(o) = 0?
-1, -2/3, 0, 1, 2
Let u(z) be the third derivative of 2*z**7/35 + z**6/5 + z**5/4 + z**4/8 - 3*z**2. Factor u(h).
3*h*(h + 1)*(2*h + 1)**2
Let u be (7 + -3)/(-2) + -100. Let c be u/(-30) - 6/(-10). Find p such that -3*p**5 + c*p**5 + p**3 - 2*p**5 = 0.
-1, 0, 1
Let v(r) be the first derivative of 0*r**2 + 2/5*r**5 + 0*r - 2/3*r**3 - 1/6*r**6 - 6 + 1/4*r**4. Let v(c) = 0. Calculate c.
-1, 0, 1, 2
Let v(c) be the third derivative of c**6/360 - c**4/72 - 8*c**2. Find h, given that v(h) = 0.
-1, 0, 1
Let w(b) be the first derivative of 18*b**2 - 6*b**3 - 4 + 3/4*b**4 - 24*b. Determine g, given that w(g) = 0.
2
Determine n, given that -3/4*n**4 + 0 + 1/4*n + 3/4*n**2 + n**5 - 5/4*n**3 = 0.
-1, -1/4, 0, 1
Let h(c) be the third derivative of 1/75*c**5 - 1/525*c**7 + 7*c**2 + 0*c + 0 + 0*c**4 + 0*c**3 - 1/300*c**6. Find s, given that h(s) = 0.
-2, 0, 1
Let w be 126/(-35) - -4*1. Suppose 0 + 0*g**2 + 0*g - w*g**3 = 0. What is g?
0
Let u(q) be the third derivative of 0*q - 7/120*q**6 + 4*q**2 + 1/30*q**5 - 1/3*q**3 + 7/24*q**4 + 0. Factor u(l).
-(l - 1)*(l + 1)*(7*l - 2)
Let l(k) be the second derivative of 0 + 0*k**2 - 1/24*k**4 - 1/12*k**3 + k. Factor l(b).
-b*(b + 1)/2
What is z in 24*z**3 + 88/3*z**2 + 52/3*z + 4/3*z**5 + 28/3*z**4 + 4 = 0?
-3, -1
Suppose -13 = 2*h + 3*n - 1, 3*n = -3*h - 12. Factor -1/4*a**3 + 0 - 1/2*a**2 + 2*a**4 + h*a - 5/4*a**5.
-a**2*(a - 1)**2*(5*a + 2)/4
Suppose -m = -i + 4, 16 = 5*m - 3*m + 4*i. Determine w so that m*w - 2/5*w**2 + 2/5 = 0.
-1, 1
Let x(o) be the first derivative of -o**5/80 - o**4/4 - 2*o**3 - 8*o**2 + 5*o - 5. Let s(z) be the first derivative of x(z). Find g, given that s(g) = 0.
-4
Let 2*a + 2*a**2 - 3*a**3 + 9 + a**2 + 12*a + a = 0. What is a?
-1, 3
Let c(a) = -2*a**3 - 2*a**2 - 3*a - 3. Let f be 2 + -2 + 2 + 1. Let x(m) = -2*m**3 - 2*m**2 - 4*m - 4. Let i(v) = f*x(v) - 4*c(v). Factor i(o).
2*o**2*(o + 1)
Solve 3*i**2 - i - 1 + 8*i**3 - 7*i**3 - i**2 - i**2 = 0.
-1, 1
Let f(h) be the first derivative of h**3 - 21*h**2/2 - 66. Find u, given that f(u) = 0.
0, 7
Let p be (0 - (1 - 0)) + (-36)/(-28). Factor 2/7*m - p*m**4 + 2/7*m**5 - 4/7*m**3 - 2/7 + 4/7*m**2.
2*(m - 1)**3*(m + 1)**2/7
Let s(f) be the third derivative of -f**6/54 - f**5/30 - f**4/54 + 7*f**2. Factor s(o).
-2*o*(2*o + 1)*(5*o + 2)/9
Suppose 4*a + 0*a - 8 = 0. Solve -2*i**a - 7*i + 2*i + 7*i + 2*i - 2*i**3 = 0 for i.
-2, 0, 1
Suppose 5*z = s + 89 + 5, 5*z - 106 = 4*s. Suppose z = 4*c + 2. Factor 2/3*a - 1/3 - 2/3*a**3 + 1/3*a**c + 0*a**2.
(a - 1)**3*(a + 1)/3
Let u be (3/(-9))/(-3 - 26/(-9)). Let b(t) be the second derivative of 4*t**2 - 2*t**3 - 1/20*t**5 + 1/2*t**4 + u*t + 0. Let b(w) = 0. Calculate w.
2
Suppose u = 3*v - 7, v + 23 = 4*u + 6*v. Factor 1/3*t**u - 1/3 - 1/3*t + 1/3*t**3.
(t - 1)*(t + 1)**2/3
Let t(h) be the first derivative of -h**6/6 - 2*h**5/5 + 2*h**3/3 + h**2/2 + 10. Factor t(g).
-g*(g - 1)*(g + 1)**3
Let h(u) = -u**2 - 6*u + 11. Let r(b) = 6*b**2 + 30*b - 56. Let x(s) = 33*h(s) + 6*r(s). Factor x(t).
3*(t - 3)**2
Let h(g) = g**2 - 3*g - 4. Let u be h(4). Let s = 2 + u. Find o such that -2*o**3 + s*o + 3*o**3 - 4*o**2 + o**3 = 0.
0, 1
What is t in 3/5*t**2 - 2/5*t + 0*t**3 + 0 - 1/5*t**4 = 0?
-2, 0, 1
Suppose 0 = 17*i - 13*i - 8. F