 -5*w - 3*w + 4*w - 18*w**f - 24*w**3 - 10*w**4 = 0.
-1, -2/5, 0
Let i(v) be the second derivative of 2*v**6/5 - 3*v**5/20 - v**4 + v**3/2 - 13*v. Suppose i(b) = 0. What is b?
-1, 0, 1/4, 1
Let z(c) be the first derivative of -3*c**5/10 + 3*c**4/2 - 3*c**3 + 3*c**2 - 3*c/2 - 3. Factor z(j).
-3*(j - 1)**4/2
Let k(m) = m**3 + 4*m**2 + 3*m - 2. Let o(n) = n**3 + 8*n**2 + 7*n - 5. Let l(s) = 5*k(s) - 2*o(s). Factor l(q).
q*(q + 1)*(3*q + 1)
Let y(k) be the third derivative of -k**5/510 - 7*k**4/204 - 2*k**3/17 + k**2. Factor y(x).
-2*(x + 1)*(x + 6)/17
Let h(u) be the first derivative of -u**4 + 20*u**3/3 - 4*u**2 - 32*u - 72. Factor h(l).
-4*(l - 4)*(l - 2)*(l + 1)
Let r be (-1 - 1/(-3))*(-13 + 10). Let -37/2*t**3 + 1 + 15*t**5 + 7/2*t + 7/2*t**4 - 9/2*t**r = 0. What is t?
-1, -2/5, -1/3, 1/2, 1
Factor 17/8*g**2 - 1/2*g**3 + 3/8 - 2*g.
-(g - 3)*(g - 1)*(4*g - 1)/8
Let m(z) be the second derivative of -z**8/40320 + z**7/5040 - z**6/1440 + z**5/720 - z**4/6 - 2*z. Let k(o) be the third derivative of m(o). Factor k(q).
-(q - 1)**3/6
Let k(v) be the first derivative of -4*v**3/21 - 4*v**2/7 + 1. Suppose k(r) = 0. What is r?
-2, 0
Let s(c) = c**2 - 3*c + 3. Let z be s(4). Let y = z + -7. Let y + 2/5*w**2 + 4/5*w = 0. What is w?
-2, 0
Suppose 9*a = 14*a. Factor a + 2/3*i**4 - 2/3*i**3 + 0*i**2 + 0*i.
2*i**3*(i - 1)/3
Let n(p) = -p**3 + 14*p**2 + 2*p - 28. Let o be n(14). Determine s, given that 4/7*s**4 + o*s + 0*s**2 + 2/7*s**5 + 0 + 2/7*s**3 = 0.
-1, 0
Let g(n) be the third derivative of -n**8/840 + n**7/525 + n**6/100 - n**5/150 - n**4/30 + 5*n**2. Solve g(c) = 0 for c.
-1, 0, 1, 2
Let y(h) be the first derivative of -h**4/28 + 3*h**2/14 + 2*h/7 + 44. Suppose y(n) = 0. What is n?
-1, 2
Suppose 4*m = m + 3. Let f(v) = 2*v. Let j be f(m). Let 0*u + 7/2*u**j - 1/2 + 3*u**3 = 0. What is u?
-1, -1/2, 1/3
Let m(z) be the third derivative of -z**5/48 - z**4/48 + z**3/8 + 18*z**2. Factor m(s).
-(s + 1)*(5*s - 3)/4
Let z(a) be the second derivative of 1/2*a**2 + 1/3*a**3 + 2*a + 1/12*a**4 + 0. Suppose z(i) = 0. What is i?
-1
Suppose 11*a = 19*a - 32. Suppose 0 + 4/7*f**a + 2/7*f - 2/7*f**3 - 4/7*f**2 = 0. Calculate f.
-1, 0, 1/2, 1
Suppose -u - 14/3*u**2 + 2/3 + 5*u**3 = 0. Calculate u.
-2/5, 1/3, 1
Let k(u) = -2*u - 4. Let p be k(-3). Let t = p + 0. Factor -d**4 + d**t - d**3 + 3*d - d - d.
-d*(d - 1)*(d + 1)**2
Suppose 5*m = -5*d, 3*m - 8*m - d = -16. Suppose -3*y**2 - 14*y**3 + 2*y**3 - 6 - 9*y**m + 6 = 0. Calculate y.
-1, -1/3, 0
Suppose 2*w = -2*k + 12, -k - 2*w + 6 = -3. Determine p so that 2*p + 3*p - 3*p**2 - 3*p**3 - 2*p + k*p**4 = 0.
-1, 0, 1
Suppose 5*l + 52 = 3*l. Let s be (-14)/21 + l/(-30). Factor 0 + 1/5*q**2 + 0*q**3 + 0*q - s*q**4.
-q**2*(q - 1)*(q + 1)/5
Suppose 21 = -2*t - 3*h, t + 14 = -2*h + 2. Let a be (-3 - 3)*4/t. Factor 1/2*p + 0 + 1/2*p**2 - 1/2*p**a - 1/2*p**3.
-p*(p - 1)*(p + 1)**2/2
Let m(h) = 3*h**5 - 14*h**4 + h**3 - 7*h**2 + 7*h. Let x(p) = -3*p**5 + 13*p**4 + 6*p**2 - 6*p. Let b(z) = -6*m(z) - 7*x(z). Factor b(n).
n**3*(n - 3)*(3*n + 2)
Let q = -5 + 5. Let a(t) be the second derivative of 1/40*t**6 + q*t**2 - t + 0 + 5/168*t**7 - 1/40*t**5 + 0*t**3 + 0*t**4. Determine y so that a(y) = 0.
-1, 0, 2/5
Let x = -1 - 0. Let u(v) be the first derivative of -5*v**3 - 9*v**2 - 4*v + 1. Let n(t) = -t**2 - t. Let a(y) = x*u(y) + 6*n(y). Solve a(q) = 0.
-2/3
Suppose 111 + 18*o - 3*o**2 - 111 = 0. What is o?
0, 6
Let q(f) = f**3 - f - 28. Let c be q(0). Let p be (2/c)/((-5)/20). Factor -4/7*a + 2/7 + p*a**2.
2*(a - 1)**2/7
Let w = 16/15 + -97/105. Find d such that 1/7*d**2 - 1/7*d**4 - w*d**5 + 0*d + 1/7*d**3 + 0 = 0.
-1, 0, 1
Factor -1/5*z**2 - 3/5 + 4/5*z.
-(z - 3)*(z - 1)/5
Let p(v) = 8*v**2 - 8*v + 11. Let d(a) = 3*a**2 - 3*a + 4. Let o(l) = 11*d(l) - 4*p(l). Let c(k) = 3*k**2 - 2*k. Let z(n) = -c(n) + 2*o(n). Factor z(g).
-g**2
Let j(p) = -10*p**2 + 4*p + 4. Let n(x) = -11*x**2 + 4*x + 3. Let h(u) = -3*j(u) + 4*n(u). Solve h(b) = 0.
0, 2/7
Let g = -104 + 106. What is h in 0*h**g + 3/5*h**3 - 1/5*h**4 + 0 - 4/5*h = 0?
-1, 0, 2
Let z(w) = 7*w**3 - 3*w**2 + 5. Let k(q) = -6 - 2*q - 2*q**2 + 4 + 3*q**2. Let g be k(2). Let j(r) = 3*r**3 - r**2 + 2. Let y(d) = g*z(d) + 5*j(d). Factor y(a).
a**2*(a + 1)
Let h(d) = 7*d**3 + 19*d**2 + 14*d + 4. Let a(i) = -6*i**3 - 18*i**2 - 13*i - 4. Let t = 7 - 10. Let p(v) = t*h(v) - 2*a(v). Factor p(g).
-(g + 1)*(3*g + 2)**2
Factor 1/8*h**3 + 0*h + 0 + 1/8*h**4 - 3/4*h**2.
h**2*(h - 2)*(h + 3)/8
Let p(y) be the second derivative of -y**7/11340 - y**6/3240 + y**4/6 - y. Let d(i) be the third derivative of p(i). Factor d(w).
-2*w*(w + 1)/9
Let k(n) = n**5 - n**4 - n**3 + n + 1. Let q(d) = -2*d**5 - 4*d**4 + 14*d**3 - 3*d**2 - 5*d - 5. Let m(c) = 5*k(c) + q(c). Factor m(p).
3*p**2*(p - 1)**3
Suppose 0 = -0*x + 5*x. Suppose -y = -x*y - 3. Factor r**2 + 0 - 1/2*r**y - 1/2*r.
-r*(r - 1)**2/2
Let x(c) be the third derivative of c**5/100 - 7*c**4/20 + 49*c**3/10 + 30*c**2. Suppose x(i) = 0. Calculate i.
7
Solve 16*c**4 + 76/3*c**3 - 8/3 - 12*c + 0*c**2 = 0.
-1, -1/4, 2/3
Let z(q) be the second derivative of -q**6/120 - q**5/30 - q**4/24 - q**2 - q. Let p(b) be the first derivative of z(b). Solve p(a) = 0.
-1, 0
Let n(z) be the second derivative of z**4/66 - 2*z**3/11 + 9*z**2/11 - 22*z. Factor n(s).
2*(s - 3)**2/11
Let x(p) be the third derivative of -p**9/1008 + p**8/560 + p**7/280 - p**6/120 - 5*p**3/6 + p**2. Let r(a) be the first derivative of x(a). Factor r(i).
-3*i**2*(i - 1)**2*(i + 1)
Let m(z) = 8*z**4 - 22*z**3 + 20*z + 14. Let q(l) = 7*l**4 - 20*l**3 - l**2 + 21*l + 15. Let k(b) = 5*m(b) - 6*q(b). Factor k(g).
-2*(g - 5)*(g - 2)*(g + 1)**2
Let x(b) = -2*b - 7. Let d be x(-5). Let k(l) be the second derivative of 0 + 1/5*l**2 + l + 1/30*l**4 - 2/15*l**d. Suppose k(a) = 0. What is a?
1
Let j be 50/105*12/10. Let o = j + -13/35. Suppose 3/5*l**3 - 3/5*l**4 + 0 + 1/5*l**5 - o*l**2 + 0*l = 0. What is l?
0, 1
Suppose 2*i**3 + 0 - 32/7*i + 2/7*i**4 + 16/7*i**2 = 0. Calculate i.
-4, 0, 1
Let d = -9 + 15. Suppose -m + 2*y + 4 = 0, 0*y + 4*y = -5*m + d. Factor -m*a**4 + 0*a + 6/7*a**5 - 2/7*a**2 + 10/7*a**3 + 0.
2*a**2*(a - 1)**2*(3*a - 1)/7
Factor 4/5*b**3 + 0*b**2 - 2/5 + 2/5*b**4 - 4/5*b.
2*(b - 1)*(b + 1)**3/5
Let k = -12 + 14. Let m = -4 - -6. Factor -z**2 - z**k + 0*z**m.
-2*z**2
Let d(s) = -2*s**3 - 11*s**2 - 4*s. Let n be 0 + (-6)/(-3) - 1. Suppose 0 = -6*p + 3*p - 15. Let b(v) = -v**2. Let k(l) = n*d(l) + p*b(l). Factor k(y).
-2*y*(y + 1)*(y + 2)
Let s = -86 - -260/3. Let b = 7 + -7. Solve b + s*r + 2/3*r**2 = 0.
-1, 0
Let u(h) = -6*h - 3. Let l be u(-3). Find k such that 52*k**4 + 22*k**3 - k**5 - 5*k**2 - 84*k**4 + l*k**5 + k**2 = 0.
0, 2/7, 1
Let v(r) = 5*r + 50. Let o be v(-10). Factor 3/2 + 3/4*y**3 - 9/4*y + o*y**2.
3*(y - 1)**2*(y + 2)/4
Suppose -284 = -12*l - 272. Factor 3/2*f + l + 1/2*f**2.
(f + 1)*(f + 2)/2
Find m such that 32/11*m**3 + 0 - 16/11*m**2 + 2/11*m = 0.
0, 1/4
Let t(j) be the second derivative of -j**6/10 - 21*j**5/80 - j**4/8 + j**3/8 - 3*j. Factor t(b).
-3*b*(b + 1)**2*(4*b - 1)/4
Let l(u) be the first derivative of -u**4/12 - u**3/9 + u**2/3 - 16. Find j such that l(j) = 0.
-2, 0, 1
Let n(b) = -12*b**3 - 18*b**2 - 6*b - 3. Let o(k) = -k**4 + 12*k**3 + 19*k**2 + 6*k + 4. Let p(s) = -4*n(s) - 3*o(s). What is t in p(t) = 0?
-2, -1, 0
Let g(o) be the second derivative of o**6/105 + 3*o**5/70 - o**4/42 - o**3/7 - o. Let g(q) = 0. What is q?
-3, -1, 0, 1
Suppose -15*w + 13*w + 6 = 0. Find r, given that 1/2*r**2 + 7*r**4 + 0*r + 0 + 15/4*r**w = 0.
-2/7, -1/4, 0
Let j(k) be the second derivative of -k**4/30 + k**2/5 + 2*k. Factor j(z).
-2*(z - 1)*(z + 1)/5
Determine d, given that -147/8 - 3/8*d**2 + 21/4*d = 0.
7
Let m(z) be the second derivative of 0 - 1/21*z**3 - 3*z - 2/7*z**2 + 1/42*z**4. Determine a, given that m(a) = 0.
-1, 2
Let m(n) be the first derivative of -n**4 - 4*n**3/3 + 4*n**2 + 1. Factor m(u).
-4*u*(u - 1)*(u + 2)
Let a be 5 - (1 + 2)/((-9)/(-6)). Factor -98/9*b**5 + 2/3*b**a + 140/9*b**4 - 40/9*b**2 + 0 - 8/9*b.
-2*b*(b - 1)**2*(7*b + 2)**2/9
Let c be (-1 - 2) + 2 + 1. Suppose c*s + 3*s = 6. Determine v so that s*v**3 + 4*v**5 - v**4 - 2*v**5 + 5*v**4 = 0.
-1, 0
Let l(u) be the second derivative of -u**5/70 - u**4/42 + 2*u**3/21 - 7*u. Factor l(s).
-2*s*(s - 1)*(s