
-1, 1
Let y(l) be the first derivative of l**6/12 + 2*l**5/5 + 5*l**4/8 + l**3/3 - 3. Factor y(g).
g**2*(g + 1)**2*(g + 2)/2
Let m = 36 + -32. Let b(l) = -l**3 + 4. Let d(z) = -z - 3*z**3 + z + 9. Let r(i) = m*d(i) - 9*b(i). Factor r(k).
-3*k**3
Let v(k) = k**3 - k**2 - k. Let j be (-2)/(-2*(-1 + 0)). Let h(x) = -6*x**3 + 5*x**2 + 6*x. Let c(f) = j*h(f) - 5*v(f). Factor c(m).
m*(m - 1)*(m + 1)
Let b(c) be the second derivative of c**7/8820 + c**6/1260 - c**4/6 + 3*c. Let r(p) be the third derivative of b(p). What is n in r(n) = 0?
-2, 0
Suppose 2*n + 6 = 3*n + d, 22 = n + 5*d. Find u, given that 38/11*u**n - 8/11 + 16/11*u + 14/11*u**3 = 0.
-2, -1, 2/7
Let l(x) be the second derivative of x**8/3360 - x**7/840 + x**6/720 + 2*x**3/3 + 5*x. Let h(z) be the second derivative of l(z). Factor h(w).
w**2*(w - 1)**2/2
Let b be -11 + 6 + 11 - 68/14. Solve 4/7 - 10/7*f**2 + 2*f - b*f**3 = 0 for f.
-2, -1/4, 1
Factor -16/7*t - 12/7*t**2 - 6/7 + 2/7*t**4 + 0*t**3.
2*(t - 3)*(t + 1)**3/7
Suppose -10*z = -13*z. Let y be (6/(-2))/(12/(-8)). Find m, given that -2/9*m**4 + 0 + 0*m**y - 2/9*m**3 + z*m = 0.
-1, 0
Suppose 2*n - 90 = -n. Suppose -h - 4*h = -n. What is b in 0*b - 2 - h*b - 28*b**2 - 7*b - b - 16*b**3 = 0?
-1, -1/2, -1/4
Let k(h) be the second derivative of -2*h**7/7 + 21*h**6/10 - 111*h**5/20 + 6*h**4 - 2*h**3 - 9*h. Let k(s) = 0. Calculate s.
0, 1/4, 1, 2
Factor -3/2*z**2 - 2*z - 2/3.
-(3*z + 2)**2/6
Let q(v) = 9*v**2 - 11*v + 10. Let t(g) = 1. Suppose 19 = -3*l - 5*f, -5*l - 2 = f + 15. Let c(p) = l*q(p) + 24*t(p). Factor c(d).
-3*(d - 1)*(9*d - 2)
Let m(x) be the second derivative of -x**7/168 + x**6/40 - x**5/80 - x**4/16 + x**3/12 - 49*x. Determine o so that m(o) = 0.
-1, 0, 1, 2
Let x = 523/3030 - 3/505. Determine g so that -x*g + 0 - 1/3*g**2 = 0.
-1/2, 0
Let a = 10 - 5. Let -3*b**4 - b**4 - 5*b**5 + b**a + 8*b**5 = 0. What is b?
0, 1
Let n(v) = -v - 6. Let g be n(-10). Suppose -x - 3*x**4 + g*x**4 + 3*x**2 - x**3 - 2*x**3 = 0. What is x?
0, 1
Let l(a) be the third derivative of -a**5 + 0*a**3 - 1/10*a**7 + 9/20*a**6 + 1/112*a**8 + 0 - 3*a**2 + a**4 + 0*a. Factor l(c).
3*c*(c - 2)**3*(c - 1)
Let u = 11 + -5. Suppose 4*c - 6 = u. Factor 3*y**2 + y**4 - y**3 - y**2 - c*y**2 + y.
y*(y - 1)**2*(y + 1)
Let a(y) be the second derivative of 1/36*y**4 + 6*y + 1/9*y**3 + 0*y**2 + 0 - 1/60*y**5. Suppose a(f) = 0. What is f?
-1, 0, 2
Suppose 7*n - 2*n - 15 = 0, 5*n = m + 12. Factor -2/3*i**m + 0 + 0*i**2 - 2/3*i**4 + 0*i.
-2*i**3*(i + 1)/3
Let -4/9*k**5 + 34/9*k**2 - 14/9*k**4 - 4/3 - 10/9*k + 2/3*k**3 = 0. Calculate k.
-3, -2, -1/2, 1
Let y(m) be the second derivative of 4/11*m**2 + 0 - 5/66*m**4 + m - 8/33*m**3. Factor y(w).
-2*(w + 2)*(5*w - 2)/11
Let g(t) be the third derivative of 0 - 1/120*t**6 + 1/30*t**5 - 1/24*t**4 - 2*t**2 + 0*t**3 + 0*t. Factor g(j).
-j*(j - 1)**2
Let z(k) = 21*k**4 + 84*k**3 + 126*k**2 + 111*k + 21. Let x(a) = 3*a**4 + 12*a**3 + 18*a**2 + 16*a + 3. Let s(h) = -27*x(h) + 4*z(h). Factor s(t).
3*(t + 1)**4
Suppose -2*z + 7 = 1. Let j(g) = -g**2 - 4*g - 3. Let t be j(-3). Find x such that -2/5*x + 0 + 2/5*x**z + t*x**2 = 0.
-1, 0, 1
Let m(l) = 5*l**5 - 4*l**4 + 2*l**3 + 4*l**2 - 5*l. Let y(h) = -6*h**5 + 3*h**4 - 3*h**3 - 3*h**2 + 6*h. Let d(f) = 3*m(f) + 2*y(f). Solve d(n) = 0.
-1, 0, 1
Suppose 0*b - 2*b + 3*j + 13 = 0, -2*b - 4*j - 8 = 0. Let w be (-2)/(-4) + 1/2. Factor -4*l - 2*l**b + l**2 + w - 5.
-(l + 2)**2
Suppose 4*o - 5*c = 2, 3 + 1 = -2*c. Let g = o + 12/5. Find t such that 0 + 2/5*t**2 + 0*t + 2/5*t**3 - 2/5*t**5 - g*t**4 = 0.
-1, 0, 1
Let q(n) = -69*n**3 + 204*n**2 - 132*n + 24. Let l(f) = f**3 - f**2. Let z(y) = -6*l(y) + q(y). Factor z(c).
-3*(c - 2)*(5*c - 2)**2
Let m = 646 + -1934/3. What is q in 4/3*q + 2/3*q**2 - 2/3*q**4 + 0 - m*q**3 = 0?
-2, -1, 0, 1
Suppose -8/3*s - 2/3*s**3 + 8/3*s**2 + 0 = 0. What is s?
0, 2
Let a(b) = 3*b. Let l be (3/6)/((-2)/(-4)). Let d be a(l). Factor -f**3 + 2*f**d + f**5 + 0*f**4 + 2*f**4.
f**3*(f + 1)**2
Let t(a) = 3*a**2 - 16*a + 7. Let d be t(5). Find c, given that 2/7 + 2/7*c**d - 4/7*c = 0.
1
Determine z, given that 48/5 - 4/5*z**3 + 44/5*z - 8/5*z**2 = 0.
-4, -1, 3
Let q(b) be the first derivative of b**4/18 + 4*b**3/27 - b**2/9 - 4*b/9 - 1. Factor q(y).
2*(y - 1)*(y + 1)*(y + 2)/9
Let b(u) be the first derivative of -3*u - u**2 + 1/3*u**3 + 1. Factor b(m).
(m - 3)*(m + 1)
Let l = 2 - -2. Factor 6*f**2 + 12*f**2 + 7*f**3 + l*f - 2*f**2.
f*(f + 2)*(7*f + 2)
Let g be 10/(-15) + (-10)/(-15). Factor 1/3*y**5 + y**4 - y**2 + g + 1/3*y**3 - 2/3*y.
y*(y - 1)*(y + 1)**2*(y + 2)/3
Let p(l) = -l**2 - l. Let d(c) = -3*c**2 - 4*c. Let r(t) = 2*d(t) - 4*p(t). Suppose r(h) = 0. Calculate h.
-2, 0
Let y(i) be the second derivative of -i**6/105 + i**5/70 + 29*i. Let y(b) = 0. Calculate b.
0, 1
Let h be 4/18 - (-3558)/27. Suppose 0 = -5*u - 2*l + 136, -5*u - 3*l = l - h. Suppose 8 + 0 + u*j**2 - 24*j - 10*j**2 + 0 = 0. Calculate j.
2/3
Let d(b) = b**3 - 4*b + 2. Let l be d(2). Find i, given that -3*i**3 - 6/5 - 27/5*i - 36/5*i**l = 0.
-1, -2/5
Suppose 4*i - 14 = w, -1 = -2*w - i + 7. Determine z so that 4*z**w + 6*z**3 - 3*z**5 - 4*z**2 + 0*z**2 - 3*z = 0.
-1, 0, 1
Let f(k) be the second derivative of -k**8/2240 - k**7/840 - k**4/12 + 2*k. Let l(u) be the third derivative of f(u). Factor l(t).
-3*t**2*(t + 1)
Let w(t) be the third derivative of -t**5/12 + 2*t**2 + 12*t. Factor w(z).
-5*z**2
Let s(i) be the first derivative of 1/12*i**3 + 1/16*i**4 - 1/8*i**2 - 2 + 0*i - 1/20*i**5. Factor s(m).
-m*(m - 1)**2*(m + 1)/4
Let f be (-2)/(-10)*-3*(-15)/27. Let z(p) be the first derivative of -f*p**3 - 1/2*p**2 - 2 + 0*p. Factor z(l).
-l*(l + 1)
Let s(h) be the second derivative of 1/2*h**3 + 1/100*h**5 + 0 - 7/60*h**4 - 9/10*h**2 - 6*h. Factor s(q).
(q - 3)**2*(q - 1)/5
Let s(j) = -35*j + 8. Let l be s(9). Let g = 931/3 + l. Solve 2/3 - 2*u**3 - 2/3*u - g*u**2 = 0 for u.
-1, 1/3
Let y(c) = c**3 + 2*c**2. Let t(l) be the second derivative of -l**6/30 - l**5/20 - l**2/2 + 4*l. Let d(j) = t(j) + y(j). Factor d(v).
-(v - 1)**2*(v + 1)**2
Let b(g) = g**2 - 4*g - 5. Let y be b(5). Let z = 2 - y. Factor 4*a - 6*a**z + 4*a**2 - 2 + 0*a.
-2*(a - 1)**2
Factor 3/5*i**2 + 3/5*i - 3/5 - 3/5*i**3.
-3*(i - 1)**2*(i + 1)/5
Let r(l) be the first derivative of 0*l - 7 + 3/16*l**4 + 0*l**5 - 1/24*l**6 - 1/6*l**3 + 0*l**2. Solve r(t) = 0.
-2, 0, 1
Suppose -22*h + 35 = -17*h. Suppose 0 = 3*u - h*u + 20. Find j, given that -4*j**4 + 0*j + 7/4*j**u + 0 + 11/4*j**3 - 1/2*j**2 = 0.
0, 2/7, 1
Determine f, given that -4*f - 63*f**3 - 2*f**4 - 4*f**5 + 71*f**3 - 16*f**2 + 10*f**4 + 8 = 0.
-1, 1, 2
Suppose 0*x = 2*x + 6*x. Let z(w) be the second derivative of -1/2*w**2 - 1/6*w**6 + 5/6*w**3 + 1/42*w**7 - 5/6*w**4 + 2*w + 1/2*w**5 + x. Factor z(m).
(m - 1)**5
Let w = -1 + 7. Suppose -a = 4*z - 27, -2*a = z - 6*a + w. Factor 10 - f**2 - 6 + z*f + 3*f**2.
2*(f + 1)*(f + 2)
Let a(k) be the second derivative of -k**4/4 + k**3 - 6*k. Let a(r) = 0. What is r?
0, 2
Suppose -1/2*x - 3/4*x**4 + 0 + 7/4*x**3 - 5/4*x**5 + 3/4*x**2 = 0. Calculate x.
-1, 0, 2/5, 1
Let w(m) be the second derivative of -4*m + 0*m**4 + 0 + 0*m**3 - 1/80*m**5 + 0*m**2 - 1/120*m**6. Factor w(f).
-f**3*(f + 1)/4
Let l(t) be the first derivative of t**5 + 25*t**4/2 + 40*t**3 - 25*t**2 - 125*t - 57. Factor l(j).
5*(j - 1)*(j + 1)*(j + 5)**2
Factor -1/6*o**4 - 1/6*o**2 + 1/3 + 1/2*o - 1/2*o**3.
-(o - 1)*(o + 1)**2*(o + 2)/6
Let o(a) be the third derivative of a**9/30240 - a**7/2520 + a**5/30 - a**2. Let g(u) be the third derivative of o(u). Suppose g(x) = 0. Calculate x.
-1, 0, 1
Let j(q) be the third derivative of q**6/280 - q**5/210 - q**4/24 - q**3/21 - 15*q**2. Factor j(n).
(n - 2)*(n + 1)*(3*n + 1)/7
Let t(i) be the second derivative of -i**9/336 - i**8/112 + i**7/140 - i**3/6 + 6*i. Let h(c) be the second derivative of t(c). Determine v so that h(v) = 0.
-2, 0, 1/3
Let d be ((-20)/(-6))/((-2)/6). Let c be (2/d)/((-16)/32). Find y such that c*y + 4/5 - 2/5*y**2 = 0.
-1, 2
Let z(q) = q**5 - q**4 + q**3 - q. Let v(s) = -3*s**5 + 11*s**4 - 8*s**3 - 6*s**2 + 5*s + 1. Let b(n) = -v(n) - 6*z(n). Solve b(r) = 0 for r.
-1, 1/3, 1
Let a(k) = -3*k + 2*k + 0*k - 2 - 3. Let x be a(-8). Solve -2*o**2 - 6*o + x*o - o - 2 = 0.
-1
Let i be 16/(-40) + (-842)/(-80). Let k 