*(k - 1)/3
Let r = 2/1083 - -716/3249. Factor 0*m - r*m**2 + 0 + 2/9*m**3.
2*m**2*(m - 1)/9
Let p(i) be the third derivative of 0*i**3 + 0*i + 0*i**5 - 3*i**2 + 1/240*i**6 + 0 + 1/420*i**7 + 0*i**4. Factor p(o).
o**3*(o + 1)/2
Let r(o) be the third derivative of -o**5/40 + o**4/8 - o**3/4 + 2*o**2. Find u such that r(u) = 0.
1
Let m(w) = 3*w - 9. Let q be m(7). Let r be 56/q*(-9)/(-6). Factor -2*j - 3*j + 4 - 2*j**2 + r*j.
-2*(j - 2)*(j + 1)
Let r(u) be the second derivative of -1/2*u**2 + 8*u + 1/12*u**4 + 0 + 0*u**3. Factor r(i).
(i - 1)*(i + 1)
Let z be 1*32/(-10) + (-20)/(-5). What is w in -64/5 + 32/5*w - z*w**2 = 0?
4
Let n(h) be the second derivative of h**5/80 + h**4/48 - h**3/24 - h**2/8 - 9*h. Factor n(s).
(s - 1)*(s + 1)**2/4
Let i(j) be the first derivative of j**6/9 - j**4/3 + j**2/3 - 9. Find u such that i(u) = 0.
-1, 0, 1
Let u(m) be the third derivative of -5*m**8/336 - 2*m**7/21 - m**6/8 + m**5/3 + 5*m**4/6 + 8*m**2. Suppose u(a) = 0. Calculate a.
-2, -1, 0, 1
Factor 6/11 + 2/11*x**2 + 8/11*x.
2*(x + 1)*(x + 3)/11
Let p(r) = 7*r**3 + 10*r**2 - 4*r + 4. Let j(k) = k**3 + k**2 - k + 1. Let t(l) = 4*j(l) - p(l). Let t(o) = 0. What is o?
-2, 0
Solve -4*d**2 + 2*d**4 - 15*d**3 + 28*d**3 - 11*d**3 = 0 for d.
-2, 0, 1
Suppose -390 = -5*h + 2*h. Let r = -648/5 + h. Factor r + 2/5*v**2 + 4/5*v.
2*(v + 1)**2/5
Let s(h) be the third derivative of -h**8/60480 + h**6/2160 - h**5/12 + 4*h**2. Let t(z) be the third derivative of s(z). Find g, given that t(g) = 0.
-1, 1
Let u be (-1)/(-5) + 64/(-480). Let w(q) be the second derivative of 0 + 3*q + 3/10*q**5 + 1/2*q**4 + u*q**6 + 1/3*q**3 + 0*q**2. Factor w(x).
2*x*(x + 1)**3
Let c = 12 - 7. Let n(i) be the third derivative of 2*i**2 + 0*i**c - 1/840*i**7 + 0*i + 0 + 1/480*i**6 + 0*i**4 + 0*i**3. Factor n(a).
-a**3*(a - 1)/4
Let i(c) be the third derivative of c**7/12600 + c**6/1200 + c**5/300 + c**4/24 - 2*c**2. Let g(j) be the second derivative of i(j). Solve g(m) = 0.
-2, -1
Let w(m) = -130*m**3 - 1. Let p be w(1). Let a = -653/5 - p. Let -2/5 + a*y**2 + 2/5*y**3 - 2/5*y = 0. What is y?
-1, 1
Let w be 4/(-6) + (-114)/18. Let z = w - -22/3. Let 1/3*v**2 + z*v**4 + 0*v - 2/3*v**3 + 0 = 0. Calculate v.
0, 1
Let d(j) = j**3 - j - 1. Let z(x) = x**3 - 2*x**2 + x - 3. Let c(r) = 6*d(r) - 2*z(r). Solve c(m) = 0 for m.
-2, 0, 1
Factor 164*n - 5*n**2 - 93*n + 10*n**2 - 86*n.
5*n*(n - 3)
Let s(l) be the third derivative of -l**6/120 + l**5/60 + l**4/24 + l**3/6 - 2*l**2. Let z(c) = c**3 + 2*c**2 - c + 4. Let t(y) = -6*s(y) + 2*z(y). Factor t(r).
2*(r - 1)*(r + 1)*(4*r - 1)
Let d(x) be the third derivative of x**7/420 - x**6/120 + x**5/120 + 6*x**2. Factor d(m).
m**2*(m - 1)**2/2
Let x(m) be the third derivative of -m**8/70560 + m**7/8820 - m**6/2520 - m**5/15 + 4*m**2. Let f(b) be the third derivative of x(b). Factor f(k).
-2*(k - 1)**2/7
Let a(l) be the first derivative of l**6/27 - 2*l**5/45 - 2*l**4/3 + 32*l**3/27 + 32*l**2/9 - 32*l/3 + 24. Solve a(h) = 0 for h.
-3, -2, 2
Let g(h) be the second derivative of -5*h**7/42 - 11*h**6/15 - 19*h**5/10 - 8*h**4/3 - 13*h**3/6 - h**2 - 3*h. Determine i so that g(i) = 0.
-1, -2/5
Let f(x) be the first derivative of 1/6*x**3 + 0*x**2 + 0*x**4 + 0*x - 4 - 1/10*x**5. Determine i, given that f(i) = 0.
-1, 0, 1
Let d(m) = m**3 - 3*m**2 - 6*m + 4. Let n be d(4). Let h = n - -6. Factor -s**2 - s**3 - h*s**3 + 2 + 3*s - 1.
-(s - 1)*(s + 1)*(3*s + 1)
Let v(r) be the third derivative of r**8/1008 - r**7/210 - 7*r**6/360 + 11*r**5/180 + r**4/12 - 4*r**3/9 + 17*r**2. Solve v(u) = 0.
-2, -1, 1, 4
Let l = 1/6 - -1/2. Suppose 2*i = -n - 8, n + 4*i + 11 = -5. Find z such that n*z**2 + 2/9*z**4 + 0 - l*z**3 + 8/9*z = 0.
-1, 0, 2
Let o(c) be the first derivative of c**6 + 8*c**5/5 - c**4 - 8*c**3/3 - c**2 + 11. Let o(h) = 0. What is h?
-1, -1/3, 0, 1
Solve 1 - 3*s + 14*s**2 - 17*s**2 - 1 = 0.
-1, 0
Let m(t) = -35*t**2 + 55*t + 75. Let w(r) = -9*r**2 + 14*r + 19. Let n(y) = -4*m(y) + 15*w(y). Factor n(z).
5*(z - 3)*(z + 1)
Let h = 130/3 + -43. What is d in h + 0*d - 1/3*d**2 = 0?
-1, 1
Let g(m) be the third derivative of -m**5/40 + m**3/4 - 12*m**2. Factor g(y).
-3*(y - 1)*(y + 1)/2
Let x(a) be the first derivative of -a**5/10 - 4*a**4/15 - a**3/15 + 2*a**2/5 + 2*a + 1. Let t(y) be the first derivative of x(y). Factor t(s).
-2*(s + 1)**2*(5*s - 2)/5
Let k = 18 + -15. Factor l**k - 3*l**4 + 2*l**3 + 4*l**3 + 2*l**3.
-3*l**3*(l - 3)
Factor 0 + 0*t**4 + 1/9*t**5 + 0*t**2 - 2/9*t**3 + 1/9*t.
t*(t - 1)**2*(t + 1)**2/9
Let b(i) = -10*i**3 + 7*i**2 + 3*i + 7. Let h(x) = 9*x**3 - 6*x**2 - 3*x - 6. Let n(l) = -6*b(l) - 7*h(l). Suppose n(y) = 0. What is y?
-1, 0, 1
Find i such that 3/8*i**3 + 1/8*i**2 - 3/8*i - 1/4 + 1/8*i**4 = 0.
-2, -1, 1
Let q(g) be the second derivative of g**5/14 + g**4 + 32*g**3/7 + 32*g**2/7 - 7*g. Factor q(f).
2*(f + 4)**2*(5*f + 2)/7
Let r = -1 + 1. Let c be (-7)/(-3) + 1/(-3). Factor 1 + 1 + r - i - i**c.
-(i - 1)*(i + 2)
Suppose -v - 1 = -5*s + 14, -4*v = 4*s + 12. Find o, given that -18/11*o**5 + 8/11*o + 10/11*o**3 + 24/11*o**4 + 0 - 24/11*o**s = 0.
-1, 0, 2/3, 1
Let w(a) be the first derivative of -5*a**3/6 + a**2 + a/2 + 7. Factor w(b).
-(b - 1)*(5*b + 1)/2
Factor -26*o**2 - 4 + 0*o**4 - 202*o**5 + 206*o**5 - 10*o**3 + 6*o**4 - 18*o.
2*(o - 2)*(o + 1)**3*(2*o + 1)
Let m(w) be the third derivative of -w**8/336 - w**7/70 + w**6/40 + 11*w**5/60 + w**4/4 - 4*w**2. Factor m(h).
-h*(h - 2)*(h + 1)**2*(h + 3)
Suppose 4 = -v + 2*v. Factor 0*a**3 + 3*a**5 - 3*a - 2*a**3 + 6*a**v + 2*a**3 - 6*a**2.
3*a*(a - 1)*(a + 1)**3
Factor 1/2*k + 0 + 0*k**2 - 1/2*k**3.
-k*(k - 1)*(k + 1)/2
Let d(y) be the third derivative of 2*y**2 - 1/28*y**4 - 1/70*y**5 + 0*y - 1/420*y**6 - 1/21*y**3 + 0. Factor d(w).
-2*(w + 1)**3/7
Let i be (-20)/(-25)*(-30)/(-4). Let n(j) = j**3 - 7*j**2 + 6*j. Let t be n(i). Find r such that -88/9*r**3 + 16/9*r**2 + 0 + 140/9*r**4 - 50/9*r**5 + t*r = 0.
0, 2/5, 2
Let w(y) be the first derivative of 1 + 3/20*y**4 + 2/5*y**3 + 3/10*y**2 + 0*y. Factor w(o).
3*o*(o + 1)**2/5
Let u(t) be the second derivative of t**5/5 - 4*t**4/3 - 2*t**3/3 + 8*t**2 - 14*t. Suppose u(j) = 0. Calculate j.
-1, 1, 4
Let b be (2919/(-12))/(-1) - -1. Let o = b + -243. What is z in -1/2 - 9/4*z**2 - 1/4*z**4 + 7/4*z + o*z**3 = 0?
1, 2
Let n(c) = c - 3. Let u(a) = -a - 1. Let z be u(-4). Let t be n(z). Factor t + 2/3*o**3 + 0*o**2 + 0*o + 2/3*o**5 - 4/3*o**4.
2*o**3*(o - 1)**2/3
Solve -36/11*f - 12/11*f**2 + 0 - 1/11*f**3 = 0 for f.
-6, 0
Let u(d) be the second derivative of 1/6*d**3 + 0*d**2 - 1/12*d**4 + d + 0. Solve u(p) = 0 for p.
0, 1
Suppose -4*t - 2*d - 6 = 0, -t + 2*d + 2*d = 6. Let n(a) = a**3 + 2*a**2 - 2*a - 2. Let y be n(t). Let 11*l - 2*l - 2 - 2*l - 5*l**y = 0. What is l?
2/5, 1
Let o = -106 - -64. Let k be (-2 - -5)/(o/(-4)). Suppose 0 - k*c**3 + 0*c**2 + 0*c = 0. Calculate c.
0
Let n(x) be the first derivative of 1/6*x**3 - 1/2*x + 0*x**2 - 2. Factor n(s).
(s - 1)*(s + 1)/2
Suppose -4 = -5*w - 3*y, -5*w = -6*y + 3*y - 16. Suppose 0*n + 0 - 2/7*n**w = 0. What is n?
0
Let f(y) = 9*y**2 + 4*y - 13. Let i(c) = 5*c**2 + 2*c - 7. Let h(u) = 6*f(u) - 11*i(u). Determine l so that h(l) = 0.
1
Let i = 9003/28912 + 2/1807. Let u = 47/48 - i. Factor 1/3*o**4 + 2/3*o**3 - 1/3*o + 1/3 - 1/3*o**5 - u*o**2.
-(o - 1)**3*(o + 1)**2/3
Suppose 2/3*d**4 + 0 - 4/9*d**3 + 0*d + 0*d**2 - 2/9*d**5 = 0. What is d?
0, 1, 2
What is p in -8/9 + 2/9*p**2 + 2/3*p = 0?
-4, 1
Let p(z) be the third derivative of 3*z**5/170 + z**4/102 - 23*z**2. Factor p(r).
2*r*(9*r + 2)/17
Let q(f) be the second derivative of -f**6/2 + 3*f**5/10 + 5*f**4/4 - f**3 + f. Suppose q(c) = 0. What is c?
-1, 0, 2/5, 1
Determine q so that -5 + 5*q**4 + 9*q + q**5 + 1 + 7*q**3 - 17*q - q**2 = 0.
-2, -1, 1
Suppose -5*c - 2*t + 36 = 0, -t = 5*c - 3*t - 44. Let n be (-8)/(-6)*6/4. Factor -r + 18*r**n - 7*r - 4*r - c*r**3 + 2.
-2*(r - 1)**2*(4*r - 1)
Suppose 3*d + 5*o - 29 = 0, -4*d - 2*o - 4 = -6*o. Suppose -4*j = 12, t + 4 + d = -3*j. Factor 1 - k + 6*k**2 - 5*k**t + 3*k.
(k + 1)**2
Factor 0*g**2 + 2*g + g**2 + 0*g.
g*(g + 2)
Factor 10/11*o**2 - 2/11*o**3 + 8/11 - 16/11*o.
-2*(o - 2)**2*(o - 1)/11
Suppose -r + 25 = 4*r, -2*t + 5*r - 39 = 0. Let c be (160/48)/(t/(-3)). Suppose 4/7 - c*u + 6/7*u**2 = 0. Calculate u.
2/3, 1
