*(o + 1)*(7*o + 2)
Factor 16/5*l**2 - 8/5*l**3 + 0*l + 0 + 1/5*l**4.
l**2*(l - 4)**2/5
Let w(h) be the first derivative of h**5 - 15*h**4/4 + 10*h**3/3 - 8. Factor w(s).
5*s**2*(s - 2)*(s - 1)
Let p be ((-7)/14)/(2/(-12)). Factor 2*z + z - 6*z**2 - 2*z**3 + 8 - p*z.
-2*(z - 1)*(z + 2)**2
Let c = -23 + 30. Let g(w) = -3*w**3 - 5*w**4 - 3*w**2 - 3 - w**3 + 2*w**3. Let r(y) = 11*y**4 + 4*y**3 + 7*y**2 + 7. Let v(s) = c*g(s) + 3*r(s). Factor v(j).
-2*j**3*(j + 1)
Let i be 32/(-18) + 1 + 1. Determine c so that 4/9*c**3 - 8/9*c - 2/3*c**2 + 8/9 + i*c**4 = 0.
-2, 1
Suppose -2*m = -2 - 10. Let -3*u**2 - 5 + 2 + m*u + 5 - 5 = 0. Calculate u.
1
Let u(h) = -14*h**2 - 18*h - 2. Let a(t) = t**2 - 1. Let x(z) = 6*a(z) + u(z). Let b(k) = -3*k**2 - 6*k - 3. Let w(d) = -17*b(d) + 6*x(d). Factor w(o).
3*(o - 1)**2
Suppose 24*f = 19*f + 20. Let c(m) be the second derivative of 0*m**6 + 0 + 3/49*m**7 + 0*m**f + 0*m**2 + m + 4/21*m**3 - 13/70*m**5. Let c(l) = 0. What is l?
-1, -2/3, 0, 2/3, 1
Let c(w) be the first derivative of 1/4*w**4 - w**2 + 1/3*w**3 + 3 + 0*w. Find y, given that c(y) = 0.
-2, 0, 1
Let j(h) be the third derivative of h**5/30 + h**4/12 + 7*h**2. Factor j(s).
2*s*(s + 1)
Let q(o) = -2*o**2 - 2*o - 5. Let t(g) = -2*g**2 - 2*g - 6. Suppose -1 = -n - 14. Let x = n + 8. Let y(v) = x*t(v) + 6*q(v). Factor y(d).
-2*d*(d + 1)
Let c = 379 + -4165/11. Factor 2/11*d**2 + 2/11*d - c.
2*(d - 1)*(d + 2)/11
Suppose 8*z**5 + 252*z - 252*z - 18*z**4 + 4*z**3 = 0. Calculate z.
0, 1/4, 2
Let y = 1118/9 + -124. Let r(h) be the second derivative of -h - 1/3*h**2 - 1/3*h**3 + y*h**4 + 0. Determine i, given that r(i) = 0.
-1/4, 1
Let h(p) = -11*p**2 + p - 7. Let v(i) = 5*i**2 - i + 3. Let b(j) = -3*h(j) - 7*v(j). Factor b(u).
-2*u*(u - 2)
Find p such that 8*p**3 + 8*p**5 + p**4 + 38*p**4 - 11*p**4 - 12*p**2 = 0.
-3, -1, 0, 1/2
Let u(q) be the second derivative of q**6/210 + q**5/140 - q**4/28 - q**3/42 + q**2/7 + 18*q. Determine i, given that u(i) = 0.
-2, -1, 1
Let y(o) = 2*o**3 - 2*o**2 + 18*o - 10. Let m(z) = z**3 + z**2. Let s(j) = 4*m(j) - y(j). Solve s(n) = 0 for n.
-5, 1
Suppose 0 = 2*j + 3 - 9. Let g(t) be the third derivative of 0 + 0*t**j + t**2 + 0*t + 1/180*t**5 - 1/72*t**4. Factor g(y).
y*(y - 1)/3
Let x(n) = n**3 + 3*n**2 + n - 2. Let a be x(-2). Factor 1/4*g**5 + 0 - 1/2*g**4 + 1/2*g**2 - 1/4*g + a*g**3.
g*(g - 1)**3*(g + 1)/4
Let i(h) be the first derivative of 3*h**4/16 + 3*h**3/2 + 9*h**2/2 + 6*h - 4. Determine q, given that i(q) = 0.
-2
Let n(y) = y**2 + 6*y - 1. Let d = -7 - -1. Suppose x - 7 = 6. Let u(h) = 2*h**2 + 13*h - 2. Let r(p) = d*u(p) + x*n(p). Find m, given that r(m) = 0.
-1, 1
Let t(u) be the third derivative of -u**8/1680 - u**7/420 - u**6/360 + u**3/2 + 2*u**2. Let m(w) be the first derivative of t(w). Factor m(y).
-y**2*(y + 1)**2
Determine f so that 4*f**4 + 8*f**3 - 2*f**3 + 2*f**3 = 0.
-2, 0
Suppose 8*l + 15 = 3*l. Let i be 3/(-9) - 1/l. Solve 1/3*q**3 + 0*q + 1/3*q**4 + 0*q**2 + i = 0 for q.
-1, 0
Factor 1/5*c**3 + 0 - 2/5*c**2 - 3/5*c.
c*(c - 3)*(c + 1)/5
Suppose 4 = 4*o - 0. Let s(l) = 3*l - 1. Let q be s(o). Determine j, given that 2/7*j + 0 - 2/7*j**q = 0.
0, 1
Let x be 3*-2*(8/6)/(-2). Suppose 74/3*c**2 + 6*c**x + 8/3 + 40/3*c + 20*c**3 = 0. What is c?
-1, -2/3
Let q(j) be the second derivative of -j**7/105 - j**6/75 + j**5/25 + j**4/15 - j**3/15 - j**2/5 + 14*j. Factor q(g).
-2*(g - 1)**2*(g + 1)**3/5
Factor -39*o**3 + 13*o**2 + 36*o**3 - 12*o - o**2.
-3*o*(o - 2)**2
Let c be (-48)/(-36)*(-3)/(-2). Find j, given that -3/2*j**c - 3/2*j**3 - 1/2*j - 1/2*j**4 + 0 = 0.
-1, 0
Let q(b) = 2*b**2 + 3*b - 5. Let j(u) be the first derivative of u**2 + 1/3*u**3 - 2 - 3*u. Let s(a) = -5*j(a) + 3*q(a). Factor s(o).
o*(o - 1)
Suppose -2 + 5 = -3*n. Let b(i) = 3*i**2 - 2*i - 2*i**2 - i**4 + i - i**3. Let y(s) = 3*s**3 + 5*s. Let a(p) = n*y(p) - 4*b(p). Factor a(m).
m*(m - 1)*(m + 1)*(4*m + 1)
Let z(x) be the first derivative of -x**3/3 + 5*x**2/2 + 2*x + 7. Let n be z(5). Let 1/4*g + 0 + 1/4*g**n - 1/2*g**3 = 0. Calculate g.
-1/2, 0, 1
Let c be 2*1*(10 + -9). Let b(l) = l**3 - 4*l + 2. Let q be b(c). Factor 2/5*g + 6/5*g**3 - 2/5 + 2*g**q.
2*(g + 1)**2*(3*g - 1)/5
Let v(o) be the second derivative of o**7/14 + 3*o**6/5 + 21*o**5/10 + 4*o**4 + 9*o**3/2 + 3*o**2 + 13*o. Solve v(l) = 0.
-2, -1
Find q, given that 10*q**2 + 22*q**2 - 5*q**2 + 2*q + 4*q = 0.
-2/9, 0
Determine u so that -5*u**3 - 5*u**2 + u**3 + 2*u**4 - 2*u**3 + 9*u**2 = 0.
0, 1, 2
Determine m so that 233*m**2 - 6*m**4 - 210*m**3 + 20 + 51*m**4 + 72*m**2 - 140*m = 0.
1/3, 2
Let l(m) be the first derivative of 2*m**5/15 + 5*m**4/6 + 16*m**3/9 + 4*m**2/3 + 4. Suppose l(a) = 0. Calculate a.
-2, -1, 0
Let c(p) be the third derivative of 0*p**5 + 0 + 3*p**2 + 1/540*p**6 + 0*p**4 - 1/945*p**7 + 0*p**3 + 0*p. Suppose c(s) = 0. What is s?
0, 1
Let i(a) be the third derivative of a**2 + 1/120*a**6 - 1/3*a**3 + 1/12*a**5 + 0 + 0*a - 1/24*a**4 - 1/70*a**7. Let i(q) = 0. Calculate q.
-1, -2/3, 1
Let y(a) be the third derivative of -1/30*a**5 + 0 + 0*a**4 + 3*a**2 - 1/20*a**6 + 0*a**3 + 0*a - 2/105*a**7. Factor y(x).
-2*x**2*(x + 1)*(2*x + 1)
Suppose -28*n + 45*n - 68 = 0. Let s be 20/(-3)*(-36)/70. Let s*a + 8/7 - 60/7*a**3 - 22/7*a**2 + 50/7*a**n = 0. Calculate a.
-2/5, 1
Factor -3*a**2 + a**2 + 2 + 0.
-2*(a - 1)*(a + 1)
Suppose 5*g - g + 28 = 4*i, -5*i = 5*g + 5. Suppose 4*d + q - 11 = 0, -3*d = i*q - q - 12. Solve 0 - 2/7*j - 6/7*j**d = 0.
-1/3, 0
Let n(k) be the second derivative of k**8/504 - k**7/315 - k**6/180 + k**5/90 + k**2 - 5*k. Let r(q) be the first derivative of n(q). Factor r(t).
2*t**2*(t - 1)**2*(t + 1)/3
Let b(m) = -1. Let y(g) = -6*g**4 + 33*g**3 - 36*g**2 - 27*g - 9. Let q(c) = -9*b(c) + y(c). Factor q(u).
-3*u*(u - 3)**2*(2*u + 1)
Let p(u) be the third derivative of u**6/60 - u**5/30 - u**4/6 - 2*u**2 - 6*u. Determine x, given that p(x) = 0.
-1, 0, 2
Let r(c) be the first derivative of -2/3*c**3 + 1 + 2*c + 0*c**2. Determine f, given that r(f) = 0.
-1, 1
Let k(g) be the third derivative of 0 - 1/840*g**8 + 1/300*g**6 + 3*g**2 + 1/150*g**5 + 0*g + 0*g**4 - 1/525*g**7 + 0*g**3. Factor k(h).
-2*h**2*(h - 1)*(h + 1)**2/5
Suppose 7 + 1 = 2*i. Suppose -12 = -3*s + 3, -2 = i*a - 2*s. Suppose -h**4 + 3*h**4 + 0*h**4 - a*h**3 = 0. Calculate h.
0, 1
Let w = 15 + -13. Factor -2*u**2 - 2*u**2 + u**2 - u**3 - w*u.
-u*(u + 1)*(u + 2)
Suppose 4*p + p = 2*t + 4, -p + 3*t - 7 = 0. Suppose -2/13*m + 2/13*m**3 + 2/13*m**p - 2/13 = 0. Calculate m.
-1, 1
Let 1/3*u + 0 - 1/3*u**2 = 0. What is u?
0, 1
Let z(q) be the second derivative of 0 - 1/12*q**4 - q**2 - 1/2*q**3 + 3*q. Factor z(x).
-(x + 1)*(x + 2)
Suppose 5*k - 13 = 3*y, -k + 32 = 4*y + 11. Let p(o) be the first derivative of 0*o - 2/9*o**3 + 1/12*o**y + 1/6*o**2 + 1. Determine f so that p(f) = 0.
0, 1
Let j(u) be the first derivative of 14/45*u**5 - 14/27*u**3 - 1/9*u**4 + 0*u - 1 + 2/9*u**2. What is f in j(f) = 0?
-1, 0, 2/7, 1
What is p in 7*p**4 - 9*p**2 - 2*p**4 + 20 + 6*p**2 - 22*p**2 = 0?
-2, -1, 1, 2
Let a(q) = -3*q**3 + 3*q**2 + 3*q + 1. Let z(n) = -3*n**3 + 3*n**2 + 3*n + 2. Let c = 11 - 7. Let p(f) = c*z(f) - 5*a(f). Factor p(k).
3*(k - 1)**2*(k + 1)
Let w(l) be the second derivative of -l**7/42 + l**6/15 - 9*l. Factor w(x).
-x**4*(x - 2)
Let a(f) be the third derivative of -f**8/1680 + f**7/525 + f**6/600 - f**5/150 + 21*f**2. Find l such that a(l) = 0.
-1, 0, 1, 2
Suppose 20 = t + 94. Let d = t - -224/3. Factor d + 0*v**3 + 0*v - 4/3*v**2 + 2/3*v**4.
2*(v - 1)**2*(v + 1)**2/3
Let j(l) = -l**3 + 5*l**2 - 3*l + 3. Let z(c) = c**2 + 1. Let f(h) = -j(h) + 2*z(h). Let f(d) = 0. What is d?
1
Let z = 9 - 7. Let c be 3 + -4 - (-16)/z. Let -4 - 2*b**2 - 3*b + c*b + 2*b = 0. What is b?
1, 2
Factor -8/3*r + 52/9*r**2 - 32/9*r**3 + 4/9*r**4 + 0.
4*r*(r - 6)*(r - 1)**2/9
Factor 1/4*s**3 - 1/4*s**4 + 1/4*s**2 - 1/4*s + 0.
-s*(s - 1)**2*(s + 1)/4
Let k be -3 - (-26 - (3 + -2)). Solve 3*x**3 + 0*x**3 - 12 - 6*x**3 - 15*x**2 + 6*x**3 + k*x = 0 for x.
1, 2
Let u(t) = 4*t**2 - 6*t + 6. Let k(s) = -6*s**2 + 3*s - 4*s + 9*s**2 + 5 - 4*s. Let q(n) = 6*k(n) - 5*u(n). Factor q(w).
-2*w**2
Let c(i) be the second derivative of i**7/840 + i**6/360 - i**5/120 - i**4/24 - i**3/6 + 3*i. Let p(f) be the second derivative of c(f). Factor p(b).
(b