 -2*w + 0*w**i + 4*w**2 - 2*w**2 = 0.
0, 1
Let n(y) = -y**3 - 5*y**2 + y + 8. Let t be n(-5). What is u in 0 + 1/4*u + 1/4*u**t - 1/2*u**2 = 0?
0, 1
Suppose 0 = 3*y + 3*m - 15, y - 3*m + 6 = -1. Factor -3*n**y - n**4 - 6*n**2 + 8*n**2 - 2*n**3.
-n**2*(n + 1)**2
Let j(l) = -3*l - 30. Let d be j(-12). Let f(r) be the second derivative of -3/20*r**5 - r**2 - r - 1/60*r**d - r**3 - 13/24*r**4 + 0. Let f(a) = 0. What is a?
-2, -1
Suppose 1/3*r**4 - 2/3 - 1/3*r**3 + 5/3*r - r**2 = 0. Calculate r.
-2, 1
Let b(i) be the first derivative of -5*i**4/24 - 5*i**3/6 + 5*i**2/12 + 5*i/2 - 4. Factor b(q).
-5*(q - 1)*(q + 1)*(q + 3)/6
Let u(t) be the first derivative of 2*t**6/3 - 4*t**4 - 8*t**3/3 + 6*t**2 + 8*t - 22. Factor u(w).
4*(w - 2)*(w - 1)*(w + 1)**3
Let c(s) be the third derivative of s**6/30 - s**5/3 + 4*s**4/3 - 8*s**3/3 - 5*s**2. Factor c(t).
4*(t - 2)**2*(t - 1)
Let x(c) = c**5 + 3*c**4 + 3*c**3 - 13*c**2 + 10*c - 2. Let r(s) = 3*s**5 + 6*s**4 + 7*s**3 - 27*s**2 + 19*s - 3. Let w(v) = -6*r(v) + 15*x(v). Factor w(n).
-3*(n - 2)*(n - 1)**3*(n + 2)
Let g be 2/5*5/8. Let l(d) be the first derivative of -g*d + 4*d**4 + 2 - 4*d**3 + 3/2*d**2. Factor l(u).
(4*u - 1)**3/4
Suppose 11*r + 5*r - 32 = 0. Factor 3/2*h + 3/2*h**r + 0.
3*h*(h + 1)/2
Let w = -2 - -6. Let d(t) be the third derivative of 1/390*t**5 + 0 - 3*t**2 - 1/156*t**w - 1/39*t**3 + 0*t + 1/780*t**6. Factor d(z).
2*(z - 1)*(z + 1)**2/13
Factor -2/7*a**3 + 2/21*a + 4/21 - 8/21*a**2.
-2*(a + 1)**2*(3*a - 2)/21
Let v be (-58)/15 - (-6)/(-45). Let g be (-57)/(-15) + (v - -1). Factor 0 + g*a - 2/5*a**2.
-2*a*(a - 2)/5
Let n = 1 + 2. Factor 0*q**n - 4*q**3 + 14*q**2 - 14*q**4 + 0*q + 4*q.
-2*q*(q - 1)*(q + 1)*(7*q + 2)
Let o(s) = 2*s**2 - 20*s - 20. Let v be o(11). Suppose 4*f**2 + 4/5 + v*f**5 - 18/5*f + 8/5*f**3 - 24/5*f**4 = 0. What is f?
-1, 2/5, 1
Let a(q) be the second derivative of -5*q**7/42 + q**6/2 - 3*q**5/4 + 5*q**4/12 + 8*q. What is g in a(g) = 0?
0, 1
Let q = 1/16 - -1/112. Let p(n) be the first derivative of q*n**4 - 4/21*n**3 + 0*n + 1/7*n**2 - 1. What is l in p(l) = 0?
0, 1
Factor 8*a - 2 + 4*a**2 + 9 - 3.
4*(a + 1)**2
Let d(f) be the second derivative of f**6/180 + f**3 - 5*f. Let v(p) be the second derivative of d(p). Determine a, given that v(a) = 0.
0
Let v(s) be the second derivative of s**5/80 - s**3/24 - 10*s. Find z such that v(z) = 0.
-1, 0, 1
Let c(u) = -2 - 1 - 1 + u**3 + 7*u**2 + 0*u**3 + 5*u. Let f be c(-6). Let 1/2*h**f + 0 + 1/2*h = 0. What is h?
-1, 0
Suppose -3*c - 5*n + 15 = 0, 2*c + 3*c - 25 = 4*n. Suppose 3*h = c*h. Factor h + 0*r + 2/9*r**2 + 2/9*r**3.
2*r**2*(r + 1)/9
Factor a**2 + 3326 - 3326.
a**2
Let s(l) be the third derivative of -l**6/480 - l**5/48 - l**4/12 - l**3/6 + 9*l**2. Suppose s(j) = 0. Calculate j.
-2, -1
Let f(v) be the third derivative of 4*v**2 + 0 - 2/45*v**5 - 2/9*v**3 + 0*v + 5/36*v**4 + 1/180*v**6. Suppose f(o) = 0. Calculate o.
1, 2
Let l be 1/(8/28 + (-6)/(-28)). Let b(o) be the second derivative of 1/21*o**3 - 1/21*o**4 + 0 - 4*o + 0*o**l - 3/70*o**5. Factor b(i).
-2*i*(i + 1)*(3*i - 1)/7
Factor 0 + 2/7*x**2 + 8/7*x**3 + 0*x + 6/7*x**4.
2*x**2*(x + 1)*(3*x + 1)/7
Let 125/6 + 25/2*r + 5/2*r**2 + 1/6*r**3 = 0. Calculate r.
-5
Suppose 2*t - d + 0 = 7, -2*t - 4*d = -32. What is l in -2*l**2 - 2/9*l**3 - t - 6*l = 0?
-3
Let q = -52 + 54. Let y(w) be the second derivative of -1/12*w**4 + 1/2*w**q - 1/20*w**5 + 0 + 1/6*w**3 - 3*w. Factor y(i).
-(i - 1)*(i + 1)**2
Let q(y) be the first derivative of -y**4/16 + y**3/4 - y + 17. Factor q(i).
-(i - 2)**2*(i + 1)/4
Let r(m) = m**2 + 6*m + 5. Let b be r(-3). Let u be 0/(b - (-5 + 3)). Factor u + 3/5*v**2 - 9/5*v**3 - 12/5*v**4 + 0*v.
-3*v**2*(v + 1)*(4*v - 1)/5
Let t(k) be the second derivative of k**5/5 - 2*k**4/3 - 8*k**3/3 + 16*k**2 + 39*k. Factor t(r).
4*(r - 2)**2*(r + 2)
Factor -1/6*k**2 + 0 + 1/6*k.
-k*(k - 1)/6
Let w = 2 + 2. Let z(y) be the second derivative of 0*y**2 - 1/5*y**5 - 1/15*y**6 - 1/6*y**w + 0 - y + 0*y**3. Factor z(q).
-2*q**2*(q + 1)**2
Let m(f) be the second derivative of f**5/20 - f**4/12 - f**3/3 - 4*f. Factor m(l).
l*(l - 2)*(l + 1)
Factor 0*x**2 + 0 - 4/3*x**3 + 0*x + 2/3*x**5 - 2/3*x**4.
2*x**3*(x - 2)*(x + 1)/3
What is q in -q - 1/5*q**2 - 4/5 = 0?
-4, -1
Factor -2/13*q**4 - 2/13*q**2 + 0*q + 0 - 4/13*q**3.
-2*q**2*(q + 1)**2/13
Suppose 5*v + 15 = 4*o, 0*o - 4*v = -5*o + 12. Suppose r + 5*r = o. Factor 0*s**4 + 0*s + r + 3/5*s**3 + 0*s**2 - 3/5*s**5.
-3*s**3*(s - 1)*(s + 1)/5
Let q = -33 - -35. Find c, given that 0*c**3 + 0*c**q + 0 + 2/7*c**5 + 0*c + 2/7*c**4 = 0.
-1, 0
Let q = -21 + 14. Let o be (-2)/q - (-24)/14. Factor -m**2 + 2*m + 3*m**o + 0*m**2.
2*m*(m + 1)
Let k(s) = -s + 8. Let z be k(6). Factor 3*c**5 + z*c**2 + 5*c**4 - 5*c**3 - c**4 - 5*c**5 + c**5.
-c**2*(c - 2)*(c - 1)**2
Suppose -3/4*n**2 + 3/2*n + 3/4*n**5 - 9/4*n**3 + 0 + 3/4*n**4 = 0. Calculate n.
-2, -1, 0, 1
Let f = 1421 - 1419. Suppose -4/9*i**3 + 0 - 2/9*i**f + 0*i = 0. What is i?
-1/2, 0
Let t(a) be the third derivative of 5*a**4/24 - a**3/6 - 2*a**2. Let i be t(10). Factor i*y**3 + 70*y**2 + 8 - 48*y + 6*y - 10*y.
(y + 2)*(7*y - 2)**2
Let d(k) be the first derivative of k**4/60 + 2*k**3/15 + 2*k**2/5 - k - 1. Let o(f) be the first derivative of d(f). Determine w so that o(w) = 0.
-2
Suppose 0*x = 2*x. Let -m**4 + x*m + m**2 + 0*m = 0. What is m?
-1, 0, 1
Factor 20*u**4 - 5*u**5 + 11*u**2 - 106*u + 101*u - 30*u**3 + 9*u**2.
-5*u*(u - 1)**4
Factor 2/3*a + 1/3*a**2 - 1.
(a - 1)*(a + 3)/3
Let d(y) = 2*y - 11. Let r be d(8). Suppose 0 = 4*c - 3*h - 11, c - r*h - 3 = 4. Suppose 6/7*w**4 - 2/7 - 4/7*w**3 + 6/7*w - 4/7*w**c - 2/7*w**5 = 0. What is w?
-1, 1
Let v(p) be the first derivative of -5*p**6/18 + 4*p**5/5 - 3*p**4/4 + 2*p**3/9 + 13. Solve v(y) = 0.
0, 2/5, 1
Let f(z) be the third derivative of -z**7/12600 - z**4/12 - 2*z**2. Let t(d) be the second derivative of f(d). Let t(k) = 0. What is k?
0
Let k = 2 + -2. Factor 1 + k + 4*i - 2*i**4 + 1 - 4*i**3.
-2*(i - 1)*(i + 1)**3
Let x = 6 + -1. What is m in -26 - 4*m**x + 0*m**4 + 8*m**3 + 4*m**4 + 26 = 0?
-1, 0, 2
Let s(j) be the second derivative of -3*j**3 + 1/4*j**4 + 0 + j + 27/2*j**2. Factor s(a).
3*(a - 3)**2
Let u be 12/9*(-3)/(-2). Suppose u*k = -2*k. Factor 3/2*w**2 + k + w**3 + 1/2*w.
w*(w + 1)*(2*w + 1)/2
Solve -2/7*j**2 - 18/7 + 12/7*j = 0.
3
Suppose 5*q - 4 + 19 = 0, 5*y + q = 12. Let a = -1 + 1. Let 2/9*m**5 + 4/9*m**2 - 2/9*m + a*m**y - 4/9*m**4 + 0 = 0. What is m?
-1, 0, 1
Let n = 301 - 901/3. Solve n + 1/3*r + 2/3*r**4 + 1/3*r**5 - 4/3*r**2 - 2/3*r**3 = 0 for r.
-2, -1, 1
Factor -2/3*l**3 - 2/3*l**4 + 2/3*l + 0 + 2/3*l**2.
-2*l*(l - 1)*(l + 1)**2/3
Suppose 2*l + 12 = 5*l. Let j(r) be the third derivative of 0*r**4 + 0 + 0*r + 1/2*r**3 - 1/20*r**5 - l*r**2. Find z such that j(z) = 0.
-1, 1
Let x(a) be the second derivative of a**6/480 + a**5/240 - a**4/96 - a**3/24 + a**2 - 3*a. Let k(d) be the first derivative of x(d). Let k(t) = 0. Calculate t.
-1, 1
Let i = -19 - -47. Let j be i/12 + -3 - -2. Solve -2*u - 2/3*u**2 - j = 0 for u.
-2, -1
Let h(i) be the third derivative of i**7/1365 - i**6/390 + i**4/78 - i**3/39 + 6*i**2. Factor h(m).
2*(m - 1)**3*(m + 1)/13
Let c(g) be the first derivative of 6*g**5/35 + g**4/2 + 10*g**3/21 + g**2/7 - 55. Suppose c(d) = 0. Calculate d.
-1, -1/3, 0
Let s(y) = 2 - 1 - 2 - y. Let n be s(-1). Find d, given that -2/5*d**5 + n*d**3 - 4/5*d**4 + 2/5*d + 4/5*d**2 + 0 = 0.
-1, 0, 1
Find t, given that -6*t**3 + 26*t**2 - 5*t**4 - 29*t**2 + 2*t**4 = 0.
-1, 0
Let w(n) = 2*n**2 + 21*n + 36. Let y be w(-2). Factor -3/4*z**y + 3/4 + 0*z.
-3*(z - 1)*(z + 1)/4
Let b(c) = 0*c**2 + 2 - 2*c**2 + c**2 - 3. Let x(s) = 2*s**2 + 8. Let o(t) = -5*b(t) - x(t). Suppose o(m) = 0. What is m?
-1, 1
Let p be (-15 - -12) + 6 + 1. Let r = 551/651 - -1/93. Factor 10/7*a**3 + r*a**5 + 0*a - 2/7*a**2 + 0 - 2*a**p.
2*a**2*(a - 1)**2*(3*a - 1)/7
Let t(d) be the third derivative of 0*d + 0*d**3 + d**2 - 4/105*d**5 + 2/21*d**4 + 1/210*d**6 + 0. Factor t(v).
4*v*(v - 2)**2/7
Let f(o) be the third derivative of o**8/84 + 8*o**7/245 + o**6/70 - 2*o**5/105 - 48*o**2. Factor f(y).
4*y**2*(y + 1)**2*(7*y - 2)/7
Let v(y) = y + 2. Let j be v(0). Let k = 7/92 - -4/23. Factor 0 - k*m**j + 1/2*m.
-m*(m - 2)/4
Let j(g) = 3 + 2*g**3 - 2 - 3*g*