(l) + k(l). Factor v(y).
4*(3*y - 1)**2
Let p(m) = m**5 + m**2 - m + 1. Let g(c) = 7*c**5 + 9*c**4 + 26*c**3 + 40*c**2 + 15*c + 11. Let s(l) = -g(l) + 6*p(l). Factor s(w).
-(w + 1)**4*(w + 5)
Let l(v) be the third derivative of -v**5/12 - 5*v**4/8 + 2*v**2. Determine n so that l(n) = 0.
-3, 0
Factor 252/5*i + 2646/5 + 6/5*i**2.
6*(i + 21)**2/5
Let u(k) = 34*k**2 + 5*k + 4. Let i be u(3). Let a = i + -1593/5. Find r, given that -a*r - 8/5 - 14/5*r**2 = 0.
-2, -2/7
Let h be 111/39 + 2/13. Let t(f) be the first derivative of f**h + 2 + f**2 - 5/4*f**4 + 0*f. Factor t(x).
-x*(x - 1)*(5*x + 2)
Let -7 - 15*y + 12 + 1 - 3*y**3 + 12*y**2 = 0. Calculate y.
1, 2
Factor 44/7*t**2 - 4/7*t**3 - 144/7 - 96/7*t.
-4*(t - 6)**2*(t + 1)/7
Let k(m) be the third derivative of -m**5/540 - m**4/72 + 4*m**2. Suppose k(q) = 0. What is q?
-3, 0
Let l(r) = r**2 + 2*r + 8. Let n be l(0). What is y in -1 - 28*y**4 - 167*y**3 + 1 + 119*y**3 + n*y - 12*y**2 = 0?
-1, 0, 2/7
Let s be -3 + (-2 - -1) - -7. Let v = 11 - 6. What is k in 2*k**3 - k**2 - k**2 + v - 2*k + 0*k**2 - s = 0?
-1, 1
Let i be 11/66*(-6)/(-8). Let n(a) be the first derivative of -1/6*a**3 - 3 + 1/2*a + i*a**2 - 1/16*a**4. Find d such that n(d) = 0.
-2, -1, 1
Factor 15*p**3 - 25*p**2 + 10*p - 7*p**3 + 12*p**3 - 5*p**4.
-5*p*(p - 2)*(p - 1)**2
Let g(i) be the third derivative of 3*i**6/80 + i**5/10 - 11*i**4/48 + i**3/6 + 11*i**2. What is l in g(l) = 0?
-2, 1/3
Let w(x) be the third derivative of -3*x**2 + 1/36*x**4 + 0*x**7 + 1/504*x**8 + 0*x**3 + 0*x + 0 + 0*x**5 - 1/90*x**6. Factor w(k).
2*k*(k - 1)**2*(k + 1)**2/3
Let q(k) be the second derivative of 1/8*k**3 + 0*k**6 + 1/56*k**7 - 3/40*k**5 + k + 0*k**2 + 0 + 0*k**4. Factor q(l).
3*l*(l - 1)**2*(l + 1)**2/4
Let c(u) = u**2 + u. Let j be c(-2). Suppose 6 = -j*q + 5*q, -3*q + 4 = -r. Factor 0*t**2 - r*t + 2/3*t**3 + 4/3.
2*(t - 1)**2*(t + 2)/3
Let v(o) be the second derivative of o**7/420 - o**6/60 + o**5/30 + 2*o**3/3 + 6*o. Let k(p) be the second derivative of v(p). Factor k(i).
2*i*(i - 2)*(i - 1)
Let d(c) = c. Let a(b) = b**2 + 7*b + 1. Let w = -2 - -2. Suppose 2*m = 4*h - 0*m - 26, -2*h - 4*m - 2 = w. Let r(u) = h*d(u) - a(u). Find i such that r(i) = 0.
-1
Let r(i) = -2*i - 7. Let m be r(-3). Let q be 1 - m/4*-4. Determine x so that -1/2*x**3 + q + 1/2*x**2 + 1/2*x - 1/2*x**4 = 0.
-1, 0, 1
Suppose 6*d - 34 = -5*w + 2*d, 0 = 5*w - d - 54. Suppose 8*f - 3*f = w. Factor -3 + 0*g**f + 2*g - 8*g - 3*g**2.
-3*(g + 1)**2
Let d(s) be the second derivative of -s**6/120 - s**3/6 + 4*s. Let t(q) be the second derivative of d(q). Suppose t(i) = 0. Calculate i.
0
Suppose 19*f**3 - 9*f**3 - 10*f**3 - 5*f**2 - 5*f**3 = 0. Calculate f.
-1, 0
Let z(k) be the third derivative of -2*k**7/105 + k**6/15 + k**5/15 - k**4/3 - 10*k**2. What is r in z(r) = 0?
-1, 0, 1, 2
Let x be 2792/(-12)*(-2)/4. Let m = x - 115. Factor m - 2*h**2 + 2/3*h.
-2*(h - 1)*(3*h + 2)/3
Suppose 5*v - 2*b = 6 + 5, b + 4 = 2*v. Solve 0*y**2 - 8/3*y**5 + 0*y - 10/3*y**4 - 2/3*y**v + 0 = 0 for y.
-1, -1/4, 0
Let l(v) be the second derivative of -v**7/21 - v**6/3 - 7*v**5/10 + v**4/6 + 8*v**3/3 + 4*v**2 + 49*v. Let l(m) = 0. Calculate m.
-2, -1, 1
Let x(i) be the first derivative of i**8/2520 - i**6/180 - i**5/90 + 2*i**3/3 - 2. Let l(p) be the third derivative of x(p). Factor l(b).
2*b*(b - 2)*(b + 1)**2/3
Let t = -48 + 50. Determine u, given that 0 + 2/3*u**3 + 2/3*u**t + 0*u = 0.
-1, 0
Let i(s) = -6*s**5 - 7*s**4 - 9*s**3 + 8*s - 7. Let c(n) = -7*n + 8*n**3 - 2*n**4 + 4*n**4 + 6 + 5*n**5 + 4*n**4. Let x(z) = -7*c(z) - 6*i(z). Factor x(g).
g*(g - 1)**2*(g + 1)**2
Let c(m) be the second derivative of m**4/15 + 32*m**3/15 + 128*m**2/5 - 10*m. Factor c(d).
4*(d + 8)**2/5
Let m(f) = -f**2 + 3*f - 2. Let t be m(2). Let o(q) be the second derivative of 0*q**4 + t*q**3 + q - 1/30*q**5 + 0*q**2 + 0. Factor o(a).
-2*a**3/3
Factor -8*b**4 - 2*b**2 + 12*b**4 - 2*b**4.
2*b**2*(b - 1)*(b + 1)
Determine s, given that -3/5*s + 3/5*s**2 + 0 = 0.
0, 1
Let i(t) be the first derivative of 2 + 0*t - 2/5*t**4 + 2/5*t**3 + 1/5*t**2. Factor i(y).
-2*y*(y - 1)*(4*y + 1)/5
Let z(f) be the second derivative of 9/50*f**5 + 13/15*f**3 + 2/3*f**4 + 2/5*f**2 + 0 - 5*f. Factor z(p).
2*(p + 1)**2*(9*p + 2)/5
Let m be -3*(-6)/9*1. Suppose 3*y + 15 = 0, -m*z + y = -4*y - 37. Factor -2 + 1 - 2*x**2 + z*x - 3.
-2*(x - 2)*(x - 1)
Let z = -214 + 218. Factor 2/5*q**z - 2*q**3 - 16/5 + 12/5*q**2 + 8/5*q.
2*(q - 2)**3*(q + 1)/5
Let n(q) = -q - 1. Let u be n(3). Let t be 3 - 4*(-2)/u. What is d in -3/2*d + t + 1/2*d**2 = 0?
1, 2
Let f(v) be the third derivative of v**8/20160 - v**7/5040 - v**5/20 - v**2. Let q(n) be the third derivative of f(n). Solve q(h) = 0.
0, 1
Factor -2/3*h**2 + 0 + 0*h + 7/3*h**3.
h**2*(7*h - 2)/3
Solve -2/3*k**3 + 0 + 5/3*k**2 + k = 0 for k.
-1/2, 0, 3
Let l = 3 - 0. Let q be 6/(-4) + 14/4. Suppose 2*n**3 - l + q*n**4 - 4*n**3 + 3 - 2*n**2 + 2*n = 0. What is n?
-1, 0, 1
Factor -1/3*k**2 + 2/3*k**3 + 0*k - 1/3*k**4 + 0.
-k**2*(k - 1)**2/3
Let f be (-12)/21*(35/(-10))/1. Let x(m) be the first derivative of -1/3*m**3 + 1/6*m**f + 2 - 1/15*m**5 + 1/4*m**4 + 0*m. Determine h so that x(h) = 0.
0, 1
Let v be -6 - -7 - (-5)/(-7). Factor 0*r**2 + v*r**3 - 6/7*r + 4/7.
2*(r - 1)**2*(r + 2)/7
Suppose 8*d - 4 = 5*d - 5*t, 4*d = t + 36. Let k = d + -5. Factor -4/7*a**2 + 0*a + 2/7*a**k + 0.
2*a**2*(a - 2)/7
Let p(w) = 9*w**3 + 3*w**2 - 24*w. Let y(a) = -a**3 + a. Let b(j) = -p(j) - 6*y(j). Solve b(o) = 0 for o.
-3, 0, 2
Let c be (-12)/(-8)*(-4)/(-27). Let z(r) be the second derivative of -2*r + 0 + 1/18*r**4 + c*r**3 + 1/3*r**2. Factor z(h).
2*(h + 1)**2/3
Let j(o) be the first derivative of 6*o**5/5 - 3*o**4/8 - 3*o**3/2 + 6. Factor j(q).
3*q**2*(q - 1)*(4*q + 3)/2
Let y(h) be the first derivative of -3 + 4/9*h**3 + 0*h**2 + 0*h**4 - 2/15*h**5 - 2/3*h. Factor y(f).
-2*(f - 1)**2*(f + 1)**2/3
Let s(b) = -b. Let k(m) = 2*m - 2. Let l be k(2). Let u(i) = 2*i**2 - 23*i**l - 6*i**2 - 3 - 7*i - 17*i. Let g(p) = 6*s(p) - u(p). Solve g(t) = 0.
-1/3
Let z = 1521 + -1519. Determine u, given that -2/15*u**z + 0*u + 8/15 = 0.
-2, 2
Let m(v) = 3*v**4 - 2*v**3 - v**2 + 2*v - 2. Let y(u) = u**4 - u**3 + u - 1. Suppose -3*g = l + 10, 2*l - 4*l = -4*g. Let a(z) = g*y(z) + m(z). Factor a(w).
w**2*(w - 1)*(w + 1)
Let n(d) be the first derivative of -4*d**5/5 + d**4 + 4*d**3/3 - 2*d**2 + 1. Factor n(g).
-4*g*(g - 1)**2*(g + 1)
Let s(j) be the third derivative of -1/24*j**5 + 5*j**2 - 1/48*j**4 + 0*j**3 - 1/140*j**7 - 7/240*j**6 + 0 + 0*j. Determine b, given that s(b) = 0.
-1, -1/3, 0
Let h = 884 + -14137/16. Let k(u) be the first derivative of -3/4*u**3 - 1/4*u - h*u**4 - 1 - 1/10*u**5 - 5/8*u**2. Factor k(c).
-(c + 1)**3*(2*c + 1)/4
Let i(r) be the first derivative of -r**6/1080 - r**5/360 + r**4/36 + 4*r**3/3 + 3. Let s(k) be the third derivative of i(k). Factor s(h).
-(h - 1)*(h + 2)/3
Find k such that -1/2*k**3 - 1/2 + 1/2*k + 1/2*k**2 = 0.
-1, 1
Let i = 22354/21 - 1065. Let d = 1/7 - i. Factor 2/3*q**5 + 0 - d*q + 0*q**3 + 4/3*q**4 - 4/3*q**2.
2*q*(q - 1)*(q + 1)**3/3
Suppose -4*k + 5*w = -k + 4, -2*w + 12 = 4*k. Factor -4/3*u + 4/3 + 1/3*u**k.
(u - 2)**2/3
Let u = -4 - -6. Suppose 6*g - u*g = 20. Determine m so that -m**4 + 10 + m**g - 10 = 0.
0, 1
Let a = 16 + -11. Let t = a - 2. What is l in l**3 + 15*l**2 - 9*l**2 + 2*l**t = 0?
-2, 0
Let g(k) be the second derivative of k**7/105 - 2*k**6/75 - k**5/50 + k**4/15 + 7*k. Determine p, given that g(p) = 0.
-1, 0, 1, 2
Determine z so that 2/5*z**3 - 2/5 - 2/5*z + 2/5*z**2 = 0.
-1, 1
Factor 10/17*y + 12/17 + 2/17*y**2.
2*(y + 2)*(y + 3)/17
Suppose -2*l = 2*l + 504. Let p be (-48)/84 + (-128)/l. Factor 0 + p*h - 4/9*h**3 + 2/9*h**2 - 2/9*h**4.
-2*h*(h - 1)*(h + 1)*(h + 2)/9
Suppose -1/5*r**4 + 1/5*r**2 + 0*r - 1/5*r**3 + 1/5*r**5 + 0 = 0. What is r?
-1, 0, 1
Let p(d) be the second derivative of d**6/45 - d**5/15 + d**4/18 - 7*d. Factor p(o).
2*o**2*(o - 1)**2/3
Let k(p) be the second derivative of p**9/4536 - p**8/1680 + p**6/1080 + 2*p**3/3 + p. Let y(g) be the second derivative of k(g). Factor y(i).
i**2*(i - 1)**2*(2*i + 1)/3
Let y be 8/(-6)*30/(-45). Let t(z) be the first derivative of 2 - 4/3*z - 3*z**2 - y*z**3. Factor t(g).
-2*(g + 2)*(4*g + 1)/3
Let v(x) be the first derivative of -5*x