 j*h**3 = 0. Calculate h.
-1, 0
Factor -9*i - 5 - 16*i**2 - 16*i**3 + 4 - 5*i**2 - 3*i**2.
-(i + 1)*(4*i + 1)**2
Let i = -46 + 22. Let q = i - -74/3. Suppose q*o - 2/3*o**2 + 2/3*o**4 - 2/3*o**3 + 0 = 0. What is o?
-1, 0, 1
Suppose -4*l + 7 = 79. Let y be -10*(l/15)/3. Let -3*x**4 - y*x**5 + x + 3*x**5 - 2*x**2 + 0*x + 5*x**4 = 0. What is x?
-1, 0, 1
Let a be (-4 + (-60)/(-16))*-10. Let g = -3/22 + 40/11. Factor -g*z**3 + 0 + z + a*z**2.
-z*(z - 1)*(7*z + 2)/2
Let x = -7/34 - -55/102. Let x*m**2 - 1/3 + 0*m = 0. Calculate m.
-1, 1
Let j = 1441/4 - 358. Let -3 - 3/4*q**4 + 3/2*q**3 - 3*q + j*q**2 = 0. What is q?
-1, 2
Let l = 61 + -43. Factor 4*r - 16*r**2 + 3*r**4 - 4 + 3*r**3 + 2*r**5 + r**4 - l*r - 7*r**3.
2*(r - 2)*(r + 1)**4
Let w(m) be the third derivative of m**7/420 - m**6/300 - m**5/100 + m**4/60 + m**3/60 - 22*m**2. Let w(b) = 0. What is b?
-1, -1/5, 1
Let y(j) be the third derivative of j**7/350 - 3*j**6/50 + 12*j**5/25 - 8*j**4/5 - 19*j**2. Factor y(g).
3*g*(g - 4)**3/5
Let x be (-2)/4 + (-26)/(-4). Let d = -1 + 3. Factor 2*h**3 - d*h + 0*h**2 - h**4 - 5*h**2 + x*h**4.
h*(h - 1)*(h + 1)*(5*h + 2)
Factor 2/5*o**4 - 4*o**3 + 54/5 - 108/5*o + 72/5*o**2.
2*(o - 3)**3*(o - 1)/5
Let u(x) be the first derivative of -3/8*x**2 - 5 - 1/16*x**4 + 1/4*x**3 + 1/4*x. Let u(h) = 0. What is h?
1
Let k(m) be the second derivative of m**7/3150 - m**6/300 + m**4/2 - 2*m. Let l(z) be the third derivative of k(z). Factor l(d).
4*d*(d - 3)/5
Let v(x) be the first derivative of -1/3*x**3 + 3/10*x**5 - 3/4*x**2 - 1/2*x + 1/4*x**4 + 1/12*x**6 + 1. Factor v(b).
(b - 1)*(b + 1)**4/2
Let g(s) be the first derivative of -1/12*s**4 + 0*s**2 + 1/3*s**3 + 3 - 4/3*s. Factor g(v).
-(v - 2)**2*(v + 1)/3
Let t(f) be the first derivative of -3*f**6/10 - 33*f**5/25 - 9*f**4/5 - 4*f**3/5 + 15. Let t(a) = 0. What is a?
-2, -1, -2/3, 0
Let u be 1/(-4) - (-133)/4. Suppose 20 = 4*g, 5*g = -n - n + u. Factor -n*z**2 + z**4 + 4*z**2 + 2*z**4 + 6*z**3.
3*z**3*(z + 2)
Let s be (-6)/(-1) - (-3 - -2). Let z(c) be the second derivative of 1/30*c**6 + 0 + 0*c**2 + 1/12*c**3 - 1/84*c**s - 1/12*c**4 + 0*c**5 - c. Factor z(v).
-v*(v - 1)**3*(v + 1)/2
Let f be -104 - (-2 + 32/12). Let c = f - -108. Factor 4/3 - c*s + 2*s**2.
2*(s - 1)*(3*s - 2)/3
Let m(w) be the first derivative of -5/7*w**2 - 8/21*w**3 + 2 - 4/7*w - 1/14*w**4. Factor m(r).
-2*(r + 1)**2*(r + 2)/7
Let k(q) = 14*q**2 - 11*q - 1. Let s be k(1). Factor 4/3 - 2/3*y - 2/3*y**s.
-2*(y - 1)*(y + 2)/3
Let j(l) be the first derivative of 2*l**5/25 - 3*l**4/10 + 2*l**3/15 + 3*l**2/5 - 4*l/5 + 4. Factor j(w).
2*(w - 2)*(w - 1)**2*(w + 1)/5
Suppose 3*m + 0*m - 4 = -2*z, 10 = 5*z + 4*m. Suppose -32/11*f**z - 30/11*f**3 - 8/11*f + 0 = 0. What is f?
-2/3, -2/5, 0
Let o(j) = 57*j**3 - 33 - 16*j + j - 16*j + 7*j. Let v(p) = -3 - p - 2*p + 7*p**3 - 1. Let u(f) = -4*o(f) + 33*v(f). Factor u(g).
3*g*(g - 1)*(g + 1)
Suppose -8*m + 2 = -14. Find c, given that 44/7*c**m - 16/7*c**3 - 48/7*c + 18/7 + 2/7*c**4 = 0.
1, 3
Let o(c) be the first derivative of 2*c**6/3 + 16*c**5/5 + 3*c**4 - 16*c**3/3 - 8*c**2 - 3. Suppose o(u) = 0. Calculate u.
-2, -1, 0, 1
Let a(i) = i**5 - i**4 - i**3 + i**2 + i. Let k(x) = 7*x**5 - 13*x**4 - 4*x**3 + 16*x**2 + 4*x. Let g(z) = 4*a(z) - k(z). Factor g(j).
-3*j**2*(j - 2)**2*(j + 1)
Let x(n) = 2*n**2 - 2*n**2 + 5*n**2 - 3*n - 4*n**2. Let d be x(4). Factor 1/2*q**2 + 0 - 1/2*q**5 - 1/2*q**d + 0*q + 1/2*q**3.
-q**2*(q - 1)*(q + 1)**2/2
Factor -6/5*a**3 - 2/5*a - 6/5*a**2 + 0 - 2/5*a**4.
-2*a*(a + 1)**3/5
Let y be (168/16)/((-6)/(-8)). Factor y - 8 - o**2 - 2*o**2 + 3*o.
-3*(o - 2)*(o + 1)
Let c = -8 - -7. Let y be (c + -1 + 0)/(-1). Suppose 0 - 1/3*s + 1/3*s**3 + 0*s**y = 0. What is s?
-1, 0, 1
Let n(z) be the first derivative of -z**8/840 + z**6/100 + z**5/75 - z**2 - 3. Let p(c) be the second derivative of n(c). Factor p(y).
-2*y**2*(y - 2)*(y + 1)**2/5
Let n(q) be the first derivative of q**6/9 + 2*q**5/5 + q**4/6 - 2*q**3/3 - 2*q**2/3 - 6. Let n(x) = 0. What is x?
-2, -1, 0, 1
Factor -5*x**3 - 2*x**4 + x**4 + 3*x**4 + 3*x**4 - 10*x**2.
5*x**2*(x - 2)*(x + 1)
Let q be (3 - 0) + 133/(-49). Find p, given that 2/7*p + 4/7*p**2 + q*p**3 + 0 = 0.
-1, 0
Suppose -5*k = -19 - 1. Let h(a) be the first derivative of -1/3*a**2 + 4/9*a**3 - 2 + 0*a - 1/6*a**k. Find i, given that h(i) = 0.
0, 1
Suppose -5*z - 2*o - 65 = 0, 4*o - 3*o - 52 = 4*z. Let w(g) = g**2 + 14*g + 13. Let i be w(z). Factor -3/5*l**3 + 0 + 0*l**2 + i*l.
-3*l**3/5
Solve 0*q**4 + 3*q**4 - q**4 + 10*q**3 + 10*q + 16*q**2 - 2*q = 0 for q.
-2, -1, 0
Let f(y) be the third derivative of y**2 + 0*y**5 + 0*y**4 + 0 + 1/240*y**6 + 0*y**3 + 0*y**7 - 1/672*y**8 + 0*y. Suppose f(z) = 0. Calculate z.
-1, 0, 1
Let g(j) = j**3 - j**2 - 3*j. Let y(f) = 6*f**3 - 6*f**2 - 16*f. Let k(w) = -16*g(w) + 3*y(w). Factor k(x).
2*x**2*(x - 1)
Let i(q) = -q - 1. Let u be i(-9). Suppose 0*f + 6 = 2*a + 2*f, 2*f + u = 5*a. Find z such that -2*z**4 - z**4 + 3*z**4 - a*z**2 + 2*z**4 = 0.
-1, 0, 1
Factor -9*f**4 - 6*f**2 - 8*f**4 - 3*f**4 + 10*f**2 - 2*f**3.
-2*f**2*(2*f + 1)*(5*f - 2)
Suppose -b + 11 = -13. Suppose -5*h + b = -h. Factor -3*d**2 - h*d**3 - 2*d**5 + 7*d**2 - d + 4*d**4 + d**5.
-d*(d - 1)**4
Let v be 1/((-14)/(-4)) - 40/(-105). What is k in 0*k + v*k**4 - 2/3*k**2 + 0 + 2/3*k**5 - 2/3*k**3 = 0?
-1, 0, 1
Suppose 0 = -5*m + 5 + 5. Let a(t) be the second derivative of 1/6*t**4 - 1/2*t**3 + 1/2*t**m - t + 0. Suppose a(l) = 0. What is l?
1/2, 1
Let b(z) be the third derivative of -z**6/660 - z**5/110 + 5*z**2. Factor b(s).
-2*s**2*(s + 3)/11
Factor -1/3*j**2 - 4/3*j - 4/3.
-(j + 2)**2/3
Let i be 1/(-8) - (7 - (-267)/(-24)). Determine n, given that -1/3*n**i - 1/3*n**3 + 0 + 1/3*n**2 + 1/3*n = 0.
-1, 0, 1
Let s = -352 - -1429/4. Solve 3/2*d + 21/4*d**3 + 3/2*d**4 + s*d**2 + 0 = 0.
-2, -1, -1/2, 0
Suppose 0 + 2/11*c**4 + 0*c**2 + 0*c - 2/11*c**3 = 0. Calculate c.
0, 1
Suppose 0*h**2 + 0*h**4 + 0*h + 1/2*h**5 + 0 + 0*h**3 = 0. Calculate h.
0
Let v(u) = 845*u**2 + 255*u + 20. Let f(k) = k. Let d(i) = 5*f(i) + v(i). Factor d(w).
5*(13*w + 2)**2
Let g(p) be the first derivative of -p**5/60 - p**4/12 - p**3/6 - p**2/6 + p + 3. Let u(o) be the first derivative of g(o). Suppose u(a) = 0. Calculate a.
-1
Let q(i) = 3*i - 5. Let f be q(3). Solve -4*s**4 - 42*s**2 + 30*s**3 - 3*s**4 - f + 22*s + 4*s**3 - 3*s**4 = 0.
2/5, 1
Let h = -252/5 - -1513/30. Let y(u) be the third derivative of 0 + h*u**5 + 2*u**2 + 0*u - 1/3*u**3 + 0*u**4. Factor y(v).
2*(v - 1)*(v + 1)
Let w(i) be the first derivative of -5*i**6/2 - 33*i**5/5 - 57*i**4/20 + 23*i**3/5 + 12*i**2/5 - 12*i/5 + 1. Let w(p) = 0. Calculate p.
-1, 2/5
Let r = -6 - -2. Let m(f) = 2*f + 8. Let y be m(r). Let y + 1/4*k**2 + 0*k + 1/4*k**5 - 1/4*k**3 - 1/4*k**4 = 0. What is k?
-1, 0, 1
Suppose j + 10 = d, 4*j = -d - 3*d. Let w(m) be the third derivative of -1/36*m**4 + 1/18*m**d - 1/45*m**6 + 0 + 0*m**3 - m**2 + 0*m. Factor w(l).
-2*l*(l - 1)*(4*l - 1)/3
Factor -7*l**2 - l**2 + 7*l + 2*l**3 - 7*l + 8*l.
2*l*(l - 2)**2
Let b(n) = -9 + 2*n**3 + 5*n**2 + 20 + 4*n**3. Let d(m) be the first derivative of m**4/4 + m**3/3 + 2*m + 1. Let g(j) = -2*b(j) + 11*d(j). Factor g(o).
-o**2*(o - 1)
Let b = 502 - 502. Factor b + 2/3*r**3 + 4/3*r**2 + 2/3*r.
2*r*(r + 1)**2/3
Suppose -3*t = 0, -v + 0 - 3 = t. Let s be 0 + 0 + v/(-6). Factor k - 1/2 - s*k**2.
-(k - 1)**2/2
Let x(p) be the second derivative of -p**4/4 + 4*p**3/3 - 2*p**2 + 10*p. Factor x(k).
-(k - 2)*(3*k - 2)
Let s = 41 - 25. Factor -3*i**3 - i**3 + 2*i**3 - 5*i - 12*i**2 - 19*i - s.
-2*(i + 2)**3
Determine h, given that 4/3 - 4/3*h**3 - 8/3*h**2 + 2/3*h + 2/3*h**5 + 4/3*h**4 = 0.
-2, -1, 1
Let h(g) be the second derivative of -1/12*g**4 - g - 1/6*g**3 + 0*g**2 + 0. Find u, given that h(u) = 0.
-1, 0
Solve 4/7*a + 6/7 - 2/7*a**2 = 0.
-1, 3
Let t(l) be the second derivative of l**5/20 - l**4/12 - l**3/6 + l**2/2 + 11*l. Factor t(v).
(v - 1)**2*(v + 1)
Let r(h) be the first derivative of h**6/3060 + h**5/255 + h**4/68 + 2*h**3/3 - 8. Let u(a) be the third derivative of r(a). Suppose u(o) = 0. What is o?
-3, -1
Let u(p) be the first derivative of p**3 + 21*p**2 + 147*p + 49. Factor u(h).
3*(h + 7)**2
Let p(y) = -4*y**5 - 2*y**2 - 6*y - 6. Let v(o) = -o**5 + o**4 - o**3 - o - 1. Let h(w) = 2*p(w)